diff --git a/.gitignore b/.gitignore index 533e52d7..a17b02e2 100644 --- a/.gitignore +++ b/.gitignore @@ -9,5 +9,6 @@ debian/* !debian/control !debian/copyright !debian/rules +!debian/*install .confirm_shortcut_change .vscode \ No newline at end of file diff --git a/Makefile b/Makefile index f4770f49..4735b7e4 100644 --- a/Makefile +++ b/Makefile @@ -35,10 +35,10 @@ configure: sh scripts/configure.sh compile: $(sources) clean - env PROJECTS="$(PROJECTS)" sh scripts/transpile.sh + env PROJECTS="$(PROJECTS)" ./scripts/transpile.sh # Rebuild, install, reconfigure local settings, restart shell, and listen to journalctl logs -debug: depcheck compile install install-system76-plugins configure enable restart-shell listen +debug: depcheck compile install configure enable restart-shell listen depcheck: @echo depcheck @@ -57,20 +57,12 @@ disable: listen: journalctl -o cat -n 0 -f "$$(which gnome-shell)" | grep -v warning -local-install: depcheck compile install install-system76-plugins configure enable restart-shell +local-install: depcheck compile install configure enable restart-shell install: rm -rf $(INSTALLBASE)/$(INSTALLNAME) mkdir -p $(INSTALLBASE)/$(INSTALLNAME) $(PLUGIN_BASE) $(SCRIPTS_BASE) cp -r _build/* $(INSTALLBASE)/$(INSTALLNAME)/ - cp -r src/plugins/* $(PLUGIN_BASE) - cp -r src/scripts/* $(SCRIPTS_BASE) - chmod +x $(PLUGIN_BASE)/**/*.js $(SCRIPTS_BASE)/* - -install-system76-plugins: - mkdir -p $(SCRIPTS_BASE) - cp -r src/scripts_system76/* $(SCRIPTS_BASE) - chmod +x $(SCRIPTS_BASE)/* uninstall: rm -rf $(INSTALLBASE)/$(INSTALLNAME) diff --git a/README.md b/README.md index fbfda015..cb319700 100644 --- a/README.md +++ b/README.md @@ -77,9 +77,9 @@ If you want to uninstall the extension, you may invoke `make uninstall`, and the ### Packaging status -- [Fedora](https://src.fedoraproject.org/rpms/gnome-shell-extension-pop-shell/): `sudo dnf install gnome-shell-extension-pop-shell` +- [Fedora](https://src.fedoraproject.org/rpms/gnome-shell-extension-pop-shell/): `sudo dnf install gnome-shell-extension-pop-shell` - [Gentoo](https://packages.gentoo.org/packages/gnome-extra/gnome-shell-extension-pop-shell): `emerge gnome-shell-extension-pop-shell` -- [Arch Linux](https://aur.archlinux.org/packages/?O=0&K=gnome-shell-extension-pop-shell) (Using Yay as AUR helper): +- [Arch Linux](https://aur.archlinux.org/packages/?O=0&K=gnome-shell-extension-pop-shell) (Using Yay as AUR helper): - `yay -S gnome-shell-extension-pop-shell` - For precompiled binary version: `yay -S gnome-shell-extension-pop-shell-bin` - For GitHub repository version: `yay -S gnome-shell-extension-pop-shell-git` @@ -142,17 +142,7 @@ Switching focus to the left will calculate from the center of the east side of t ### Launcher -The launcher is summoned with `Super` + `/`. The search list displays matching windows based on their window name and title, and applications on the system which can be launched. The arrow keys are used to select an application or window from the search list. If it is a window, the selected window will be visually highlighted with an overlay. Pressing `Return` on a window will bring that window to focus, switching to its workspace, and unminimizing it if it was minimized. - -#### Launcher Modes - -By default, the launcher searches windows and applications. However, you can designate a special launch mode using one of the supported prefixes: - -- `:`: Execute a command in `sh` -- `run` | `t:`: Execute a command in `sh` in a terminal -- `=`: Calculator mode, powered by [MathJS](https://mathjs.org/) -- `/` | `~`: Navigate and open directories and files in the file system -- `d:`: Search recent documents +Pop Shell provides an integrated launcher which interfaces directly with our [pop-launcher](https://github.com/pop-os/launcher) service. JSON IPC is used to communicate between the shell and the launcher in an asynchronous fashion. This functionality was separated from the shell due to performance and maintainability issues. The new launcher is written in Rust and fully async. The launcher has extensive features that would be useful for implementing desktop launchers beyond a shell extension. ### Inner and Outer Gaps @@ -160,11 +150,11 @@ Gaps improve the aesthetics of tiled windows and make it easier to grab the edge ### Hiding Window Title Bars -Windows with server-side decorations may have their title bars completely hidden, resulting in additional screen real estate for your applications, and a visually cleaner environment. This feature can be toggled in the extension's popup menu. Windows can be moved with the mouse by holding `Super` when clicking and dragging a window to another location. Windows may be closed by pressing GNOME's default `Super` + (`grave` / `~`) shortcut. +Windows with server-side decorations may have their title bars completely hidden, resulting in additional screen real estate for your applications, and a visually cleaner environment. This feature can be toggled in the extension's popup menu. Windows can be moved with the mouse by holding `Super` when clicking and dragging a window to another location, or using the keyboard shortcuts native to pop-shell. Windows may be closed by pressing `Super` + `Q`, and maximized with `Super` + `M`. --- -## Stacking Mode +## Floating Mode This is the default mode of Pop Shell, which combines traditional stacking window management, with optional tiling window management features. @@ -178,30 +168,18 @@ An optional feature to improve your tiling experience is the ability to snap win --- -## Auto-Tile Mode +## Tiling Mode -This provides the tiling window manager experience, where windows are automatically tiled across the screen as they are created. This feature is disabled by default but can be enabled through the extension's popup menu in the panel. When enabled, windows that were launched before enabling it will not be associated with any tree. Dragging and dropping them will begin to tile them in a tree. +Disabled by default, this mode manages windows using a tree-based tiling window manager. Similar to i3, each node of the tree represents two branches. A branch may be a window, a fork containing more branches, or a stack that contains many windows. Each branch represents a rectangular area of space on the screen, and can be subdivided by creating more branches inside of a branch. As windows are created, they are assigned to the window or stack that is actively focused, which creates a new fork on a window, or attaches the window to the focused stack. As windows are destroyed, the opposite is performed to compress the tree and rearrange windows to their new dimensions. ### Keyboard Shortcuts - `Super` + `O` - Toggles the orientation of a fork's tiling orientation - `Super` + `G` - - Toggles a window between floating and tiling. + - Toggles a window between floating and tiling. - See [#customizing the window float list](#customizing-the-floating-window-list) -### Feature Overview - -- If no windows are on a display, a newly-opened window will start maximized on the display -- As new windows are opened, they are tiled into the currently focused window -- Windows can be detached and reattached to different areas of the tree by dragging and dropping them -- The default tiling orientation is based on the dimensions of the window being attached to -- The tiling orientation of the fork associated with the focused window can be altered with `Super` + `O`. -- The division of space between branches in a fork can be altered by resizing windows - - Window resizes can be carried out with the mouse - - Tiling mode may also be used to adjust sizes with the keyboard -- Ultra-wide displays are treated as two separate displays by default (**Unimplemented**) - ### Customizing the Floating Window List There is file `$XDG_CONFIG_HOME/pop-shell/config.json` where you can add the following structure: ``` @@ -214,26 +192,6 @@ For example, doing `xprop` on GNOME Settings (or GNOME Control Center), the WM_C After applying changes in `config.json`, you can reload the tiling if it doesn't work the first time. -## Plugins - -### Launcher Plugins - -Pop Shell supports extending the functionality of its launcher and comes with some plugins by default. System plugins are stored in `/usr/lib/pop-shell/launcher/`, while user plugins are stored in `$HOME/.local/share/pop-shell/launcher/`. Some plugins are included by default: - -- [calc](src/plugins/calc) -- [files](src/plugins/files) -- [pulse](src/plugins/pulse) -- [recent](src/plugins/recent) -- [terminal](src/plugins/terminal) -- [web](src/plugins/web) -- [scripts](src/plugin_scripts.ts) - -> Plugin developers, see [the API documentation for the launcher API](src/plugins/README.md). - -### Scripts Plugin - -This built-in plugin displays scripts in search results. Included with Pop Shell is a set of scripts for log out, reboot, and power off. Scripts are stored in `/usr/lib/pop-shell/scripts/` and `$HOME/.local/share/pop-shell/scripts/`. [See the included scripts as an example of how to create our own](src/scripts/). - ## Developers Due to the risky nature of plain JavaScript, this GNOME Shell extension is written in [TypeScript](https://www.typescriptlang.org/). In addition to supplying static type-checking and self-documenting classes and interfaces, it allows us to write modern JavaScript syntax whilst supporting the generation of code for older targets. @@ -248,13 +206,6 @@ While working on the shell, you can recompile, reconfigure, reinstall, and resta [Discussions welcome on Pop Chat](https://chat.pop-os.org/community/channels/dev) -## GNOME JS -GNOME JS is a little different from standard JS, so the included `Makefile` runs `sed` on the transpiled JavaScript to convert the small number of differences between JS and GJS. Notably, GJS only partially supports ES2015, and has its own module system which works differently from what ES2015 expects. The sed scripts will replace `import` and `export` statements with the expected GNOME variants. - -```js -const Me = imports.misc.extensionUtils.getCurrentExtension(); -``` - ## License Licensed under the GNU General Public License, Version 3.0, ([LICENSE](LICENSE) or https://www.gnu.org/licenses/gpl-3.0.en.html) diff --git a/debian/changelog b/debian/changelog index 0b515f8c..e996c588 100644 --- a/debian/changelog +++ b/debian/changelog @@ -1,6 +1,6 @@ pop-shell (1.1.0) focal; urgency=medium - * Bug fixes & Launcher update w/ plugin support + * Bug fixes & Launcher update w/ plugin support -- Michael Aaron Murphy Fri, 11 Dec 2020 13:27:27 -0700 diff --git a/debian/control b/debian/control index e1d07fe4..f7180091 100644 --- a/debian/control +++ b/debian/control @@ -7,15 +7,11 @@ Standards-Version: 3.9.8 Homepage: https://github.com/pop-os/shell Vcs-Git: https://github.com/pop-os/shell -Package: pop-shell-plugin-system76-power -Architecture: all -Depends: pop-shell, system76-power -Description: Launcher integration with system76-power - Package: pop-shell Architecture: all Depends: ${misc:Depends}, + pop-launcher, pop-shell-shortcuts, fd-find Recommends: pop-shell-plugin-system76-power diff --git a/debian/pop-shell.install b/debian/install similarity index 97% rename from debian/pop-shell.install rename to debian/install index de9a2c7d..9a629608 100644 --- a/debian/pop-shell.install +++ b/debian/install @@ -1,3 +1,3 @@ schemas/org.gnome.shell.extensions.pop-shell.gschema.xml usr/share/glib-2.0/schemas keybindings/*.xml usr/share/gnome-control-center/keybindings -usr/ \ No newline at end of file +usr \ No newline at end of file diff --git a/debian/pop-shell-plugin-system76-power.files b/debian/pop-shell-plugin-system76-power.files deleted file mode 100644 index edee7fbe..00000000 --- a/debian/pop-shell-plugin-system76-power.files +++ /dev/null @@ -1,4 +0,0 @@ -/usr/lib/pop-shell/scripts/graphics-compute.sh -/usr/lib/pop-shell/scripts/graphics-discrete.sh -/usr/lib/pop-shell/scripts/graphics-hybrid.sh -/usr/lib/pop-shell/scripts/graphics-integrated.sh \ No newline at end of file diff --git a/debian/rules b/debian/rules index 03769cc6..b380568d 100755 --- a/debian/rules +++ b/debian/rules @@ -5,18 +5,9 @@ #export DH_VERBOSE=1 BASEDIR=debian/pop-shell/usr/share/gnome-shell/extensions/pop-shell@system76.com -DESTDIR=debian/tmp %: dh $@ -override_dh_install: - make install-system76-plugins DESTDIR=$(DESTDIR) - dh_movefiles - dh_install - rm -rf $(BASEDIR)/schemas - -override_dh_fixperms: - dh_fixperms - chmod +x debian/pop-shell/usr/lib/pop-shell/launcher/**/*.js - chmod +x debian/pop-shell/usr/lib/pop-shell/scripts/* \ No newline at end of file +override_dh_auto_install: + dh_auto_install --destdir=debian/tmp \ No newline at end of file diff --git a/scripts/transpile.sh b/scripts/transpile.sh old mode 100644 new mode 100755 index 0b3bbbf6..c351e6f2 --- a/scripts/transpile.sh +++ b/scripts/transpile.sh @@ -21,10 +21,10 @@ glib-compile-schemas schemas & for proj in ${PROJECTS}; do mkdir -p _build/${proj} - tsc --p src/${proj} & + tsc --p src/${proj} done -tsc & +tsc wait @@ -34,7 +34,7 @@ cp -r metadata.json icons schemas *.css _build & for src in $(find target -name '*.js'); do dest=$(echo $src | sed s#target#_build#g) - transpile & + transpile done wait \ No newline at end of file diff --git a/src/app_info.ts b/src/app_info.ts deleted file mode 100644 index 1debd7bb..00000000 --- a/src/app_info.ts +++ /dev/null @@ -1,145 +0,0 @@ -// @ts-ignore -const Me = imports.misc.extensionUtils.getCurrentExtension(); - -const { Gio } = imports.gi; - -import * as error from 'error'; -import * as result from 'result'; -import * as once_cell from 'once_cell'; - -import type { Result } from 'result'; - -const { Err, Ok } = result; - -const OnceCell = once_cell.OnceCell; - -export class AppInfo { - app_info: any; - - desktop_name: string; - - private categories_: once_cell.OnceCell = new OnceCell(); - private comment_: once_cell.OnceCell = new OnceCell(); - private exec_: once_cell.OnceCell = new OnceCell(); - private generic: once_cell.OnceCell = new OnceCell(); - private keywords_: once_cell.OnceCell> = new OnceCell(); - - private name_: string; - - constructor(path: string, app_info: any) { - this.app_info = app_info; - this.desktop_name = path.split('/').slice(-1)[0]; - - const pos = this.desktop_name.lastIndexOf('.'); - this.desktop_name = this.desktop_name.slice(0, pos); - - this.name_ = this.string("Name") ?? "unknown"; - } - - static try_from(path: string): Result { - const app_info = Gio.DesktopAppInfo.new_from_filename(path); - return app_info - ? Ok(new AppInfo(path, app_info)) - : Err(new error.Error(`failed to open app info for ${path}`)); - } - - get filename(): string { - return this.app_info.filename; - } - - id(): string { - let name = this.filename - name = name.substr(0, name.lastIndexOf('.')) - return name.substr(name.lastIndexOf('/') + 1) - } - - categories(): string { - return this.categories_.get_or_init(() => this.app_info.get_categories()); - } - - comment(): string | null { - return this.comment_.get_or_init(() => this.string("Comment")); - } - - exec(): string | null { - return this.exec_.get_or_init(() => this.string("Exec")); - } - - icon(): St.Widget { - return this.app_info.get_icon(); - } - - generic_name(): string | null { - return this.generic.get_or_init(() => this.app_info.get_generic_name()); - } - - keywords(): Array { - return this.keywords_.get_or_init(() => this.app_info.get_keywords()); - } - - launch(): Result { - return this.app_info.launch([], null) - ? Ok(null) - : Err(new error.Error(`failed to launch ${this.filename}`)); - } - - name(): string { - return this.name_; - } - - display(): string { - return `AppInfo { - categories: ${this.categories()}, - comment: ${this.comment()}, - exe: ${this.exec()} - filename: ${this.filename}, - generic name: ${this.generic_name()}, - icon: ${this.icon()}, - keywords: ${this.keywords()}, - name: ${this.name()}, -}`; - } - - private string(name: string): string | null { - return this.app_info.get_string(name); - } -} - -export function* load_desktop_entries(path: string): IterableIterator> { - let dir = Gio.file_new_for_path(path); - if (!dir.query_exists(null)) { - return new error.Error(`desktop path is missing: ${path}`); - } - - let entries, entry; - try { - entries = dir.enumerate_children('standard::*', Gio.FileQueryInfoFlags.NONE, null); - } catch (e) { - return new error.Error(String(e)) - .context(`failed to enumerate children of ${path}`); - } - - while ((entry = entries.next_file(null)) != null) { - const ft = entry.get_file_type(); - - if (ft == Gio.FileType.DIRECTORY) { - yield* load_desktop_entries(path + '/' + entry.get_name()); - continue; - } else if (!(ft == Gio.FileType.REGULAR || ft == Gio.FileType.SYMBOLIC_LINK)) { - continue; - } - - const name: string = entry.get_name(); - if (name.indexOf('.desktop') > -1) { - const desktop_path = path + '/' + name; - const info = AppInfo.try_from(desktop_path); - - if (info.kind === result.OK) { - const exec = info.value.exec(); - const show = info.value.app_info.should_show() - || (exec?.startsWith('gnome-control-center')) - if (show) yield info; - } - } - } -} diff --git a/src/auto_tiler.ts b/src/auto_tiler.ts index 28356056..b1eeb919 100644 --- a/src/auto_tiler.ts +++ b/src/auto_tiler.ts @@ -199,6 +199,7 @@ export class AutoTiler { const result = this.fetch_mode(ext, win, ignore_focus); this.detach_window(ext, win.entity); if (result.kind == ERR) { + log.debug(`attach to workspace: ${result.value}`) this.attach_to_workspace(ext, win, ext.workspace_id(win)); } else { this.attach_to_window(ext, result.value, win, { auto: 0 }) @@ -655,7 +656,7 @@ export class AutoTiler { return Err('ignoring focus'); } - const prev = ext.prev_focused[0] + const prev = ext.prev_focused[1] if (!prev) { return Err('no window has been previously focused'); diff --git a/src/context.ts b/src/context.ts new file mode 100644 index 00000000..0c84ebd5 --- /dev/null +++ b/src/context.ts @@ -0,0 +1,32 @@ +const { St } = imports.gi; + +const PopupMenu = imports.ui.popupMenu +const Main = imports.ui.main + +export function addMenu(widget: any, request: (menu: St.Widget) => void): St.Widget { + const menu = new PopupMenu.PopupMenu(widget, 0.0, St.Side.TOP, 0) + Main.uiGroup.add_actor(menu.actor) + menu.actor.hide() + menu.actor.add_style_class_name('panel-menu'); + + // Intercept right click events on the launcher app's button + widget.connect('button-press-event', (_: any, event: any) => { + if (event.get_button() === 3) { + request(menu) + } + }) + + return menu +} + +export function addContext(menu: St.Widget, name: string, activate: () => void) { + const menu_item = appendMenuItem(menu, name) + + menu_item.connect('activate', () => activate()); +} + +function appendMenuItem(menu: any, label: string) { + let item = new PopupMenu.PopupMenuItem(label); + menu.addMenuItem(item); + return item +} \ No newline at end of file diff --git a/src/dbus_service.ts b/src/dbus_service.ts index 1088d572..b1adcbd1 100644 --- a/src/dbus_service.ts +++ b/src/dbus_service.ts @@ -1,13 +1,24 @@ const { Gio } = imports.gi -const IFACE: string = ` - +const IFACE: string = ` + + + + + + + + + + + + ` @@ -20,6 +31,9 @@ export class Service { FocusUp: () => void = () => {} FocusDown: () => void = () => {} Launcher: () => void = () => {} + WindowFocus: (window: [number, number]) => void = () => {} + WindowList: () => Array<[[number, number], string, string]> = () => [] + WindowQuit: (window: [number, number]) => void = () => {} constructor() { this.dbus = Gio.DBusExportedObject.wrapJSObject(IFACE, this) diff --git a/src/dedicated_gpu.ts b/src/dedicated_gpu.ts deleted file mode 100644 index e2f8324f..00000000 --- a/src/dedicated_gpu.ts +++ /dev/null @@ -1,46 +0,0 @@ -import type { AppInfo } from './app_info' - -const { Shell, St } = imports.gi; -const AppDisplay = imports.ui.appDisplay; - -const PopupMenu = imports.ui.popupMenu -const Main = imports.ui.main - -const appSys = Shell.AppSystem.get_default() - -export function addPopup(info: AppInfo, widget: any) { - // GNOME Shell already tracks if a discrete GPU is available. - // We will only add a popup if one is available. - if (!AppDisplay.discreteGpuAvailable) return - - const menu = new PopupMenu.PopupMenu(widget, 0.0, St.Side.TOP, 0) - Main.uiGroup.add_actor(menu.actor) - menu.actor.hide() - menu.actor.add_style_class_name('panel-menu'); - - const appPrefersNonDefaultGPU = info.app_info.get_boolean('PrefersNonDefaultGPU'); - const gpuPref = appPrefersNonDefaultGPU - ? Shell.AppLaunchGpu.DEFAULT - : Shell.AppLaunchGpu.DISCRETE; - - const menu_item = appendMenuItem(menu, appPrefersNonDefaultGPU - ? _('Launch using Integrated Graphics Card') - : _('Launch using Discrete Graphics Card')); - - menu_item.connect('activate', () => { - appSys.lookup_desktop_wmclass(info.id())?.launch(0, -1, gpuPref) - }); - - // Intercept right click events on the launcher app's button - widget.connect('button-press-event', (_: any, event: any) => { - if (event.get_button() === 3) { - menu.toggle() - } - }) -} - -function appendMenuItem(menu: any, label: string) { - let item = new PopupMenu.PopupMenuItem(label); - menu.addMenuItem(item); - return item -} \ No newline at end of file diff --git a/src/dialog_launcher.ts b/src/dialog_launcher.ts deleted file mode 100644 index b1da9b94..00000000 --- a/src/dialog_launcher.ts +++ /dev/null @@ -1,417 +0,0 @@ -//@ts-ignore -const Me = imports.misc.extensionUtils.getCurrentExtension(); - -import * as app_info from 'app_info'; -import * as error from 'error'; -import * as DedicatedGPU from 'dedicated_gpu'; -import * as launch from 'launcher_service'; -import * as levenshtein from 'levenshtein'; -import * as lib from 'lib'; -import * as log from 'log'; -import * as plugins from 'launcher_plugins'; -import * as result from 'result'; -import * as search from 'dialog_search'; - -import type { AppInfo } from 'app_info'; -import type { Ext } from 'extension'; -import type { ShellWindow } from 'window'; - -const { Clutter, Gio, GLib, Meta } = imports.gi - -const { OK } = result; - -const HOME_DIR: string = GLib.get_home_dir(); -const DATA_DIRS_SYSTEM: string = GLib.get_system_data_dirs(); -const DATA_DIRS_USER: string = GLib.get_user_data_dir(); - -export class Launcher extends search.Search { - options: Array - desktop_apps: Array<[string, AppInfo]> - service: launch.LauncherService - last_plugin: null | plugins.Plugin.Source - mode: number - - constructor(ext: Ext) { - let cancel = () => { - ext.overlay.visible = false; - this.stop_services(ext) - }; - - let search = (pat: string): Array | null => { - this.options.splice(0) - - if (pat.length == 0) { - this.list_workspace(ext); - return this.options - } - - this.last_plugin = null - - let windows = new Array() - - this.service.query(ext, pat, (plugin, response) => { - if (response.event === "queried") { - for (const selection of response.selections) { - if (!this.last_plugin) this.last_plugin = plugin; - - let icon = null - if (selection.icon) { - icon = { name: selection.icon } - } else if (selection.content_type) { - icon = { gicon: Gio.content_type_get_icon(selection.content_type) } - } - - this.options.push(new launch.SearchOption( - selection.name, - selection.description, - plugin.config.icon, - icon, - this.icon_size(), - { plugin, id: selection.id }, - null, - null - )) - } - } - }) - - const pattern = pat.toLowerCase() - - const navigating_files = pat.startsWith("/") || pat.startsWith("~") - - if (pat !== '?' && ! navigating_files && pat.length > 1) { - const needles = pattern.split(' '); - - const contains_pattern = (haystack: string, needles: Array): boolean => { - const hay = haystack.toLowerCase(); - return needles.every((n) => hay.includes(n)); - }; - - // Filter matching windows - for (const window of ext.tab_list(Meta.TabList.NORMAL_ALL, null)) { - const retain = contains_pattern(window.name(ext), needles) - || contains_pattern(window.meta.get_title(), needles); - - if (retain) { - windows.push(window_selection(ext, window, this.icon_size())) - } - } - - // Filter matching desktop apps - for (const [where, app] of this.desktop_apps) { - const name = app.app_info.get_display_name() - const keywords = app.keywords() - const exec = app.exec() - - let app_items = name.split(' ') - if (keywords !== null) app_items = app_items.concat(keywords) - if (exec !== null) app_items = app_items.concat(exec) - - for (const item of app_items) { - const item_match = item.toLowerCase() - if ( item_match.startsWith(pattern) - || item_match.includes(pattern) - || levenshtein.compare(item_match, pattern) < 3) { - const generic = app.generic_name(); - const button = new launch.SearchOption( - name, - generic ? generic + " — " + where : where, - 'new-window-symbolic', - { gicon: app.icon() }, - this.icon_size(), - { app }, - exec, - keywords - ) - - DedicatedGPU.addPopup(app, button.widget) - - this.options.push(button) - break - } - } - } - } - - const sorter = (a: launch.SearchOption, b: launch.SearchOption) => { - const a_name = a.title.toLowerCase() - const b_name = b.title.toLowerCase() - const a_exec = a.exec ? a.exec.toLowerCase() : "" - const b_exec = b.exec ? b.exec.toLowerCase() : "" - - let a_weight = 0, b_weight = 0; - - // Sort by metadata (name, description, keywords) - if (!a_name.startsWith(pattern)) { - a_weight = 1 - if (!a_name.includes(pattern)) { - a_weight = levenshtein.compare(a_name, pattern) - if (a.description) { - a_weight = Math.min(a_weight, levenshtein.compare(pattern, a.description.toLowerCase())) - } - if (a.keywords) { - for (const keyword of a.keywords) { - if (keyword.toLowerCase().startsWith(pattern) || keyword.toLowerCase().includes(pattern)) { - a_weight = 1 - } else { - a_weight = Math.min(a_weight, (levenshtein.compare(pattern, keyword.toLowerCase()) + 1)) - } - } - } - } - } - // Sort by command (exec) - if (a_exec.includes(pattern)) { - if (a_exec.startsWith(pattern)) { - a_weight = Math.min(a_weight, 2) - } else { - a_weight = Math.min(a_weight, levenshtein.compare(pattern, a_exec)) - } - } - - - // Sort by metadata (name, description, keywords) - if (!b_name.startsWith(pattern)) { - b_weight = 1 - if (!b_name.includes(pattern)) { - b_weight = levenshtein.compare(b_name, pattern) - if (b.description) { - b_weight = Math.min(b_weight, levenshtein.compare(pattern, b.description.toLowerCase())) - } - if (b.keywords) { - for (const keyword of b.keywords) { - if (keyword.toLowerCase().startsWith(pattern) || keyword.toLowerCase().includes(pattern)) { - b_weight = 1 - } else { - b_weight = Math.min(b_weight, (levenshtein.compare(pattern, keyword.toLowerCase()) + 1)) - } - } - } - } - } - // Sort by command (exec) - if (b_exec.includes(pattern)) { - if (b_exec.startsWith(pattern)) { - b_weight = Math.min(b_weight, 2) - } else { - b_weight = Math.min(b_weight, levenshtein.compare(pattern, b_exec)) - } - } - - return a_weight === b_weight - ? a_name.length > b_name.length ? 1 : 0 - : a_weight > b_weight ? 1 : 0 - } - - // Sort the list of matched selections - windows.sort(sorter) - this.options.sort(sorter); - this.options = windows.concat(this.options) - - // Truncate excess items from the list - if (!navigating_files) this.options.splice(this.list_max); - - return this.options; - }; - - let select = (id: number) => { - ext.overlay.visible = false - - if (id >= this.options.length) return - - const selected = this.options[id] - if (selected) { - if ("window" in selected.id) { - const win = selected.id.window - if (win.workspace_id() == ext.active_workspace()) { - const { x, y, width, height } = win.rect() - ext.overlay.x = x - ext.overlay.y = y - ext.overlay.width = width - ext.overlay.height = height - ext.overlay.visible = true - } - } - } - }; - - let apply = (index: number): boolean => { - ext.overlay.visible = false; - - const selected = this.options[index]; - - if (typeof selected === 'undefined') { - return true - } - - const option = selected.id - - if ("window" in option) { - option.window.activate() - } else if ("app" in option) { - const result = option.app.launch() - if (result instanceof error.Error) { - log.error(result.format()); - } else { - let exec_name = option.app.app_info.get_executable(); - if (exec_name === "gnome-control-center") { - for (const window of ext.tab_list(Meta.TabList.NORMAL, null)) { - if (window.meta.get_title() === "Settings") { - window.meta.activate(global.get_current_time()); - break; - } - } - } - } - } else if ("plugin" in option) { - const { plugin, id } = option - plugins.Plugin.submit(ext, plugin, id) - - const response = plugins.Plugin.listen(plugin) - if (response) { - if (response.event === "fill") { - this.set_text(response.text) - return true - } - } - - } - - return false - }; - - let complete = (): boolean => { - const option = this.options[this.active_id] - if (option) { - if ("plugin" in option.id) { - const { plugin, id } = option.id - plugins.Plugin.complete(ext, plugin, id); - const res = plugins.Plugin.listen(plugin) - if (res && res.event === "fill") { - this.set_text(res.text) - return true - } - } - } - - return false - } - - const quit = (id: number) => { - const selected = this.options[id]; - - if (typeof selected === 'undefined') { - return true - } - - const option = selected.id - - if ("window" in option) { - option.window.meta.delete(global.get_current_time()) - cancel() - this.close() - } - } - - super(cancel, search, complete, select, apply, quit); - - this.dialog.dialogLayout._dialog.y_align = Clutter.ActorAlign.START; - this.dialog.dialogLayout._dialog.x_align = Clutter.ActorAlign.START; - this.dialog.dialogLayout.y = 48; - - this.service = new launch.LauncherService() - this.last_plugin = null - this.options = new Array() - this.desktop_apps = new Array(); - this.mode = -1; - } - - clear(){ - super.clear(); - this.last_plugin = null; - } - - load_desktop_files() { - lib.bench("load_desktop_files", () => { - this.desktop_apps.splice(0); - for (const _path of [DATA_DIRS_USER].concat(DATA_DIRS_SYSTEM)) { - const path = _path.replace(/\/$/, '') + "/applications"; - for (const result of app_info.load_desktop_entries(path)) { - if (result.kind == OK) { - const value = result.value; - const existAt = this.desktop_apps.findIndex(([ _, app ]) => app.exec() == value.exec()); - if (existAt == -1) { - let appType = 'System'; - switch (path) { - case (HOME_DIR + "/.local/share/applications"): - appType = 'User'; - break; - case ("/var/lib/flatpak/exports/share/applications"): - appType = 'Flatpak (System)'; - break; - case (HOME_DIR + "/.local/share/flatpak/exports/share/applications"): - appType = 'Flatpak (User)'; - break; - case ("/var/lib/snapd/desktop/applications"): - appType = 'Snap (System)'; - break; - } - this.desktop_apps.push([appType, value]); - } - } else { - const why = result.value; - log.warn(why.context(`failed to load desktop app`).format()); - } - } - } - }); - } - - list_workspace(ext: Ext) { - let show_all_workspaces = true; - const active = ext.active_workspace(); - for (const window of ext.tab_list(Meta.TabList.NORMAL, null)) { - if (show_all_workspaces || window.workspace_id() === active) { - this.options.push(window_selection(ext, window, this.icon_size())) - if (this.options.length == this.list_max) break; - } - } - } - - open(ext: Ext) { - const mon = ext.monitor_work_area(ext.active_monitor()); - - this.options.splice(0); - this.clear(); - - this.list_workspace(ext); - this.update_search_list(this.options); - - super._open(global.get_current_time(), false); - - this.dialog.dialogLayout.x = (mon.width / 2) - (this.dialog.dialogLayout.width / 2); - this.dialog.dialogLayout.y = (mon.height / 2) - (this.dialog.dialogLayout.height / 2); - } - - stop_services(ext: Ext) { - this.service.stop_services(ext) - } -} - -function window_selection(ext: Ext, window: ShellWindow, icon_size: number): launch.SearchOption { - let name = window.name(ext); - let title = window.meta.get_title(); - - return new launch.SearchOption( - title, - name, - 'focus-windows-symbolic', - { - widget: window.icon(ext, icon_size) - }, - icon_size, - { window }, - null, - null - ) -} diff --git a/src/extension.ts b/src/extension.ts index 8003e588..c1af4d43 100644 --- a/src/extension.ts +++ b/src/extension.ts @@ -14,7 +14,7 @@ import * as Rect from 'rectangle'; import * as Settings from 'settings'; import * as Tiling from 'tiling'; import * as Window from 'window'; -import * as launcher from 'dialog_launcher'; +import * as launcher from 'launcher'; import * as auto_tiler from 'auto_tiler'; import * as node from 'node'; import * as utils from 'utils'; @@ -29,7 +29,8 @@ import type { Entity } from 'ecs'; import type { ExtEvent } from 'events'; import type { Rectangle } from 'rectangle'; import type { Indicator } from 'panel_settings'; -import type { Launcher } from './dialog_launcher'; +import type { Launcher } from 'launcher'; + import { Fork } from './fork'; const display = global.display; @@ -43,7 +44,7 @@ const GLib: GLib = imports.gi.GLib; const { Gio, Meta, St, Shell } = imports.gi; const { GlobalEvent, WindowEvent } = Events; const { cursor_rect, is_move_op } = Lib; -const { layoutManager, loadTheme, overview, panel, setThemeStylesheet, screenShield, sessionMode } = imports.ui.main; +const { layoutManager, loadTheme, overview, panel, setThemeStylesheet, screenShield, sessionMode, windowAttentionHandler } = imports.ui.main; const { ScreenShield } = imports.ui.screenShield; const { AppSwitcher, AppIcon, WindowSwitcherPopup } = imports.ui.altTab; const { SwitcherList } = imports.ui.switcherPopup; @@ -170,9 +171,6 @@ export class Ext extends Ecs.System { private size_requests: Map = new Map(); - /** Used to debounce on_focus triggers */ - private focus_trigger: null | SignalID = null; - // Entity-component associations /** Store for stable sequences of each registered window */ @@ -239,6 +237,29 @@ export class Ext extends Ecs.System { this.dbus.FocusLeft = () => this.focus_left() this.dbus.FocusRight = () => this.focus_right() this.dbus.Launcher = () => this.window_search.open(this) + + this.dbus.WindowFocus = (window: [number, number]) => { + this.windows.get(window)?.activate() + this.window_search.close() + } + + this.dbus.WindowList = (): Array<[[number, number], string, string]> => { + const wins = new Array() + + for (const window of this.tab_list(Meta.TabList.NORMAL, null)) { + wins.push([ + window.entity, + window.meta.get_title(), + window.name(this), + ]) + } + + return wins; + } + + this.dbus.WindowQuit = (win: [number, number]) => { + this.windows.get(win)?.meta.delete(global.get_current_time()) + } } // System interface @@ -2433,6 +2454,8 @@ function enable() { ext.injections_add(); ext.signals_attach(); + disable_window_attention_handler() + layoutManager.addChrome(ext.overlay); if (!indicator) { @@ -2482,6 +2505,25 @@ function disable() { indicator.destroy(); indicator = null; } + + enable_window_attention_handler() +} + +const handler = windowAttentionHandler + +function enable_window_attention_handler() { + if (handler && !handler._windowDemandsAttentionId) { + handler._windowDemandsAttentionId = global.display.connect('window-demands-attention', (display, window) => { + handler._onWindowDemandsAttention(display, window) + }) + } +} + +function disable_window_attention_handler() { + if (handler && handler._windowDemandsAttentionId) { + global.display.disconnect(handler._windowDemandsAttentionId); + handler._windowDemandsAttentionId = null + } } function stylesheet_path(name: string) { return Me.path + "/" + name + ".css"; } @@ -2582,7 +2624,7 @@ function _show_skip_taskbar_windows(ext: Ext) { // are skip taskbar true (meta_win.get_wm_class() !== null && !gnome_shell_wm_class) || - default_isoverviewwindow_ws(win); + default_isoverviewwindow_ws(win)); }; } } diff --git a/src/launcher.ts b/src/launcher.ts new file mode 100644 index 00000000..3493f3c3 --- /dev/null +++ b/src/launcher.ts @@ -0,0 +1,319 @@ +//@ts-ignore +const Me = imports.misc.extensionUtils.getCurrentExtension() + +import * as search from 'search' +import * as utils from 'utils' +import * as arena from 'arena' +import * as log from 'log' +import * as service from 'launcher_service' +import * as context from 'context' +import * as shell_window from 'window' +import * as config from 'config' + +import type { Ext } from 'extension' +import type { ShellWindow } from 'window' +import type { JsonIPC } from 'launcher_service' + +const { DefaultPointerPosition } = config +const { Clutter, Gio, GLib, Meta, Shell } = imports.gi + +interface SearchOption { + result: JsonIPC.SearchResult + menu: St.Widget +} + +export class Launcher extends search.Search { + ext: Ext + options: Map = new Map() + options_array: Array = new Array() + windows: arena.Arena = new arena.Arena() + service: null | service.LauncherService = null + append_id: null | number = null + + constructor(ext: Ext) { + super() + + this.ext = ext + + this.dialog.dialogLayout._dialog.y_align = Clutter.ActorAlign.START + this.dialog.dialogLayout._dialog.x_align = Clutter.ActorAlign.START + this.dialog.dialogLayout.y = 48 + + this.cancel = () => { + ext.overlay.visible = false + this.stop_services(ext) + } + + this.search = (pat: string) => { + if (this.service !== null) { + this.service.query(pat) + } + } + + this.select = (id: number) => { + ext.overlay.visible = false + + if (id >= this.options.size) return + + const option = this.options_array[id] + if (option && option.result.window) { + const win = this.ext.windows.get(option.result.window) + if (!win) return + + if (win.workspace_id() == ext.active_workspace()) { + const { x, y, width, height } = win.rect() + ext.overlay.x = x + ext.overlay.y = y + ext.overlay.width = width + ext.overlay.height = height + ext.overlay.visible = true + } + } + } + + this.activate_id = (id: number) => { + ext.overlay.visible = false + + const selected = this.options_array[id] + + if (selected) { + this.service?.activate(selected.result.id) + } + } + + this.complete = () => { + const option = this.options_array[this.active_id] + if (option) { + this.service?.complete(option.result.id) + } + } + + this.quit = (id: number) => { + const option = this.options_array[id] + if (option) { + this.service?.quit(option.result.id) + } + } + } + + on_response(response: JsonIPC.Response) { + if ("Close" === response) { + this.close() + } else if ("Update" in response) { + this.clear() + + if (this.append_id !== null) { + GLib.source_remove(this.append_id) + this.append_id = null + } + + if (response.Update.length === 0) { + this.cleanup() + return; + } + + this.append_id = GLib.idle_add(GLib.PRIORITY_DEFAULT, () => { + const item = response.Update.shift() + if (item) { + try { + const button = new search.SearchOption( + this.ext, + item.name, + item.description, + item.category_icon ? item.category_icon : null, + item.icon ? item.icon : null, + this.icon_size(), + null, + null, + ) + + const menu = context.addMenu(button.widget, (_menu) => { + this.service?.context(item.id); + }) + + this.append_search_option(button) + const result = { result: item, menu } + this.options.set(item.id, result) + this.options_array.push(result) + } catch (error) { + log.error(`failed to create SearchOption: ${error}`) + } + } + + if (response.Update.length === 0) { + this.append_id = null + return false + } + + return true + }) + } else if ("Fill" in response) { + this.set_text(response.Fill) + } else if ("DesktopEntry" in response) { + this.launch_desktop_entry(response.DesktopEntry) + this.close() + } else if ("Context" in response) { + const { id, options } = response.Context + + const option = this.options.get(id) + if (option) { + (option.menu as any).removeAll() + for (const opt of options) { + context.addContext(option.menu, opt.name, () => { + this.service?.activate_context(id, opt.id); + }); + + (option.menu as any).toggle() + } + } else { + log.error(`did not find id: ${id}`) + } + } else { + log.error(`unknown response: ${JSON.stringify(response)}`) + } + } + + clear() { + this.options.clear() + this.options_array.splice(0) + super.clear() + } + + launch_desktop_entry(entry: JsonIPC.DesktopEntry) { + const basename = (name: string): string => { + name = name.substr(0, name.lastIndexOf('.')) + return name.substr(name.lastIndexOf('/') + 1) + } + + const wmclass = basename(entry.path) + + const gpuPref = entry.gpu_preference === "Default" + ? Shell.AppLaunchGpu.DEFAULT + : Shell.AppLaunchGpu.DISCRETE; + + const app = Shell.AppSystem.get_default().lookup_desktop_wmclass(wmclass) + + if (app) { + const info = app.get_app_info() + const is_gnome_settings = info ? info.get_executable() === "gnome-control-center" : false; + + if (is_gnome_settings && app.state === Shell.AppState.RUNNING) { + app.activate() + const window = app.get_windows()[0] + if (window) shell_window.activate(true, DefaultPointerPosition.TopLeft, window) + return; + } + + const existing_windows = app.get_windows().length + + app.launch(0, -1, gpuPref) + + let attempts = 0 + + GLib.timeout_add(GLib.PRIORITY_DEFAULT, 100, () => { + if (app.state === Shell.AppState.STOPPED) { + if (info) { + const window = this.locate_by_app_info(info); + if (window) { + window.activate(false) + return false; + } + } + } else if (app.state === Shell.AppState.RUNNING) { + const windows: Array = app.get_windows(); + + if (windows.length > existing_windows) { + let newest_window = null + let newest_time = null + for (const window of windows) { + const this_time = window.get_user_time() + if (newest_time === null || newest_time > this_time) { + newest_window = window + newest_time = this_time + } + + if (this_time === 0) { + newest_window = window; + break + } + } + + if (newest_window) { + this.ext.get_window(newest_window)?.activate(true); + } + + return false + } + } + + attempts += 1 + if (attempts === 20) return false + + return true; + }) + } + } + + list_workspace(ext: Ext) { + for (const window of ext.tab_list(Meta.TabList.NORMAL, null)) { + this.windows.insert(window); + } + } + + load_desktop_files() { + log.warn("pop-shell: deprecated function called (dialog_launcher::load_desktop_files)") + } + + locate_by_app_info(info: any): null | ShellWindow { + const exec_info: null | string = info.get_string("Exec") + const exec = exec_info?.split(' ').shift()?.split('/').pop() + if (exec) { + for (const window of this.ext.tab_list(Meta.TabList.NORMAL, null)) { + const pid = window.meta.get_pid() + if (pid !== -1) { + try { + let f = Gio.File.new_for_path(`/proc/${pid}/cmdline`) + const [,bytes] = f.load_contents(null) + const output: string = imports.byteArray.toString(bytes) + const cmd = output.split(' ').shift()?.split('/').pop() + if (cmd === exec) return window + } catch (_) { + + } + } + } + } + + return null + } + + open(ext: Ext) { + const mon = ext.monitor_work_area(ext.active_monitor()) + + super.cleanup() + + this.start_services() + this.search('') + + super._open(global.get_current_time(), false) + + this.dialog.dialogLayout.x = (mon.width / 2) - (this.dialog.dialogLayout.width / 2) + this.dialog.dialogLayout.y = (mon.height / 2) - (this.dialog.dialogLayout.height / 2) + } + + start_services() { + if (this.service === null) { + log.debug("starting pop-launcher service") + const ipc = utils.async_process_ipc(['pop-launcher']) + this.service = ipc ? new service.LauncherService(ipc, (resp) => this.on_response(resp)) : null + } + } + + stop_services(_ext: Ext) { + if (this.service !== null) { + log.info(`stopping pop-launcher services`) + this.service.exit() + this.service = null + } + } +} \ No newline at end of file diff --git a/src/launcher_plugins.ts b/src/launcher_plugins.ts deleted file mode 100644 index fde7da96..00000000 --- a/src/launcher_plugins.ts +++ /dev/null @@ -1,253 +0,0 @@ -// @ts-ignore -const Me = imports.misc.extensionUtils.getCurrentExtension() - -const { Gio, GLib } = imports.gi - -import * as utils from 'utils' -import type { Ext } from 'extension' - -export interface Selection { - id: number, - name: string, - description: string, - fill?: string, - content_type?: string -} - -/** The trait which all builtin plugins implement */ -export abstract class Builtin { - /** Stores the last search result */ - last_response: null | Response.Response = null - - /** Results of the last query */ - selections: Array = new Array() - - /** Initializes default values and resets state */ - abstract init(): void - - /** Uses the search input to query for search results */ - abstract query(ext: Ext, query: string): Response.Response - - /** Applies an option by its ID */ - abstract submit(ext: Ext, id: number): Response.Response - - /** Dispatches a launcher request, and stores the response */ - handle(ext: Ext, event: Request.Request) { - switch (event.event) { - case "complete": - this.last_response = { event: "noop" } - break - case "query": - this.last_response = this.query(ext, event.value) - break - case "submit": - this.last_response = this.submit(ext, event.id) - break - default: - this.last_response = { event: "noop" } - - } - } -} - -export namespace Request { - export type Request = Complete | Submit | Query | Quit - - export interface Complete { - event: 'complete', - id: number, - } - - export interface Submit { - event: 'submit', - id: number - } - - export interface Quit { - event: 'quit' - } - - export interface Query { - event: 'query', - value: string - } -} - -export namespace Response { - export interface Selection { - id: number - name: string - description: null | string - icon?: string - content_type?: string - } - - export interface Query { - event: "queried", - selections: Array - } - - export interface Fill { - event: "fill", - text: string - } - - export interface Close { - event: "close" - } - - export interface NoOp { - event: 'noop' - } - - export type Response = Query | Fill | Close | NoOp - - export function parse(input: string): null | Response { - try { - let object = JSON.parse(input) as Response - switch (object.event) { - case "close": - case "fill": - case "queried": - return object - } - } catch (e) { - - } - - return null - } -} - -export namespace Plugin { - export interface Config { - name: string - description: string - pattern: string - exec: string - icon: string - fill?: string - examples?: string - } - - export function read(file: string): Config | null { - global.log(`found plugin at ${file}`) - try { - let [ok, contents] = Gio.file_new_for_path(file) - .load_contents(null) - - if (ok) return parse(imports.byteArray.toString(contents)) - } catch (e) { - - } - - return null - } - - export function parse(input: string): Config | null { - try { - return JSON.parse(input) - } catch (e) { - return null - } - } - - export interface External { - cmd: string - proc: null | utils.AsyncIPC - } - - export interface BuiltinVariant { - builtin: Builtin - } - - export interface Source { - config: Config - backend: External | BuiltinVariant - pattern: null | RegExp - } - - export function listen(plugin: Plugin.Source): null | Response.Response { - if ('builtin' in plugin.backend) { - return plugin.backend.builtin.last_response - } else { - const backend = plugin.backend - if (!backend.proc) { - const proc = Plugin.start(backend) - if (proc) { - backend.proc = proc - } else { - return null - } - } - - try { - let [bytes,] = backend.proc.stdout.read_line(null) - return Response.parse(imports.byteArray.toString(bytes)) - } catch (e) { - return null - } - } - } - - export function complete(ext: Ext, plugin: Plugin.Source, id: number): boolean { - return send(ext, plugin, { event: "complete", id }) - } - - export function query(ext: Ext, plugin: Plugin.Source, value: string): boolean { - return send(ext, plugin, { event: "query", value }) - } - - export function quit(ext: Ext, plugin: Plugin.Source) { - if ('proc' in plugin.backend) { - if (plugin.backend.proc) { - send(ext, plugin, { event: "quit" }) - plugin.backend.proc = null - } - } else { - send(ext, plugin, { event: "quit" }) - } - } - - export function submit(ext: Ext, plugin: Plugin.Source, id: number): boolean { - return send(ext, plugin, { event: "submit", id }) - } - - export function send(ext: Ext, plugin: Plugin.Source, event: Request.Request): boolean { - const backend = plugin.backend - - if ('builtin' in backend) { - backend.builtin.handle(ext, event) - return true - } else { - let string = JSON.stringify(event) - - if (!backend.proc) { - backend.proc = start(backend) - } - - function attempt(name: string, plugin: Plugin.External, string: string) { - if (!plugin.proc) return false - - try { - plugin.proc.stdin.write_bytes(new GLib.Bytes(string + "\n"), null) - return true - } catch (e) { - global.log(`failed to send message to ${name}: ${e}`) - return false - } - } - - if (!attempt(plugin.config.name, backend, string)) { - backend.proc = start(backend) - if (!attempt(plugin.config.name, backend, string)) return false - } - } - - return true - } - - export function start(plugin: Plugin.External): null | utils.AsyncIPC { - return utils.async_process_ipc([plugin.cmd]) - } -} \ No newline at end of file diff --git a/src/launcher_service.ts b/src/launcher_service.ts index 2672af2c..9da6587a 100644 --- a/src/launcher_service.ts +++ b/src/launcher_service.ts @@ -1,310 +1,168 @@ -// @ts-ignore +//@ts-ignore const Me = imports.misc.extensionUtils.getCurrentExtension() -const { Clutter, Gio, GLib, Pango, St } = imports.gi - -import * as app_info from 'app_info' -import * as plugins from 'launcher_plugins' - -import type { ShellWindow } from 'window' -import type { Ext } from 'extension' -import type { Plugin as PluginType, Response } from 'launcher_plugins' - -const { Plugin } = plugins - -import * as plugin_files from 'plugin_files' -import * as plugin_help from 'plugin_help' -import * as plugin_scripts from 'plugin_scripts' -import * as plugin_shell from 'plugin_shell' - -const BUILTIN_HELP: PluginType.Source = { - backend: { - builtin: new plugin_help.ShellBuiltin() - }, - config: { - name: "Shell Help", - description: "Show additional prefixes available", - pattern: "", - exec: "", - icon: "system-help-symbolic" - }, - pattern: null -}; - -export var BUILTIN_FILES: PluginType.Source = { - backend: { - builtin: new plugin_files.ShellBuiltin() - }, - config: { - name: "File Search", - description: "Search files in your home folder", - examples: "file COSMIC", - pattern: "^(file)\\s.*", - fill: "file ", - exec: "", - icon: "system-file-manager" - }, - pattern: null -} - -export var BUILTINS: Array = [ - { - backend: { - builtin: (() => { - const plug = new plugin_scripts.ScriptsBuiltin() - plug.init() - return plug - })() - }, - config: { - name: "Shell Scripts", - description: "User-defined shell scripts to execute", - pattern: "", - exec: "", - icon: "utilities-terminal" - }, - pattern: null - }, - { - backend: { - builtin: new plugin_shell.ShellBuiltin() - }, - config: { - name: "Shell Shortcuts", - description: "Access shell features from the keyboard", - pattern: "", - exec: "", - icon: `${Me.path}/icons/pop-shell-auto-on-symbolic.svg` - }, - pattern: null - } -] - -/** Launcher plugins installed locally */ -const LOCAL_PLUGINS: string = GLib.get_home_dir() + "/.local/share/pop-shell/launcher/" +import * as utils from 'utils' +import * as log from 'log' -/** Launcher plugins that are installed system-wide */ -const SYSTEM_PLUGINS: string = "/usr/lib/pop-shell/launcher/" +const { Gio, GLib } = imports.gi +const { byteArray } = imports; +/** Reads JSON responses from the launcher service asynchronously, and sends requests. + * + * # Note + * You must call `LauncherService::exit()` before dropping. + */ export class LauncherService { - plugins: Map = new Map() + service: utils.AsyncIPC + /** When exiting the service */ + cancellable: any = new Gio.Cancellable() + + constructor(service: utils.AsyncIPC, callback: (response: JsonIPC.Response) => void) { + this.service = service + + /** Recursively registers an intent to read the next line asynchronously */ + const generator = (stdout: any, res: any) => { + try { + const [bytes,] = stdout.read_line_finish(res) + if (bytes) { + const string = byteArray.toString(bytes) + // log.debug(`received response from launcher service: ${string}`) + callback(JSON.parse(string)) + this.service.stdout.read_line_async(0, this.cancellable, generator) + } + } catch (why) { + log.error(`failed to read response from launcher service: ${why}`) + } + } - destroy(ext: Ext) { - for (const plugin of this.plugins.values()) Plugin.quit(ext, plugin) + this.service.stdout.read_line_async(0, this.cancellable, generator) } - constructor() { - this.register_plugins() + activate(id: number) { + this.send({ "Activate": id }) } - query(ext: Ext, query: string, callback: (plugin: PluginType.Source, response: Response.Response) => void) { - for (const plugin of this.match_query(ext, query)) { - if (Plugin.query(ext, plugin, query)) { - const res = Plugin.listen(plugin) - if (res) callback(plugin, res) - } else { - Plugin.quit(ext, plugin) - } - } + activate_context(id: number, context: number) { + this.send({ "ActivateContext": { id, context }}) } - stop_services(ext: Ext) { - for (const plugin of this.plugins.values()) { - if ('proc' in plugin.backend) { - Plugin.quit(ext, plugin) - plugin.backend.proc = null - } - } + complete(id: number) { + this.send({ "Complete": id }) } - private register_plugins() { - this.register_plugin_directory(LOCAL_PLUGINS) - this.register_plugin_directory(SYSTEM_PLUGINS) + context(id: number) { + this.send({ "Context": id }) } - private register_plugin_directory(directory: string) { - let dir = Gio.file_new_for_path(directory) - if (!dir.query_exists(null)) return - - try { - let entries = dir.enumerate_children('standard::*', Gio.FileQueryInfoFlags.NONE, null) - let entry - - while ((entry = entries.next_file(null)) !== null) { - if (entry.get_file_type() === 2) { - let name: string = entry.get_name() - const metapath = directory + '/' + name + '/meta.json' + exit() { + this.send('Exit') + this.cancellable.cancel() + const service = this.service - const metadata = Gio.file_new_for_path(metapath) - if (!metadata.query_exists(null)) continue + GLib.timeout_add(GLib.PRIORITY_DEFAULT, 100, () => { + if (service.stdout.has_pending() || service.stdin.has_pending()) return true - let config = Plugin.read(metapath) - if (!config || this.plugins.has(config.name)) continue - - let cmd = directory + '/' + name + '/' + config.exec - - global.log(`found plugin: ${config.name}`) - - let pattern = config.pattern ? new RegExp(config.pattern) : null - - this.plugins.set(config.name, { config, backend: { cmd, proc: null }, pattern }) + const close_stream = (stream: any) => { + try { + stream.close(null) + } catch (why) { + log.error(`failed to close pop-launcher stream: ${why}`) } } - } catch (e) { - global.log(`error enumerating: ${e}`) - } - } - - private *match_query(ext: Ext, query: string): IterableIterator { - if (query === "?") { - yield BUILTIN_HELP; - return - } - if (query.startsWith("file ")) { - yield BUILTIN_FILES; - return; - } + close_stream(service.stdin) + close_stream(service.stdin) - for (const plugin of BUILTINS) { - if (!plugin.pattern || plugin.pattern.test(query)) { - yield plugin - } - } + // service.child.send_signal(15) - for (const plugin of this.plugins.values()) { - if (!plugin.pattern || plugin.pattern.test(query)) { - yield plugin - } else { - Plugin.quit(ext, plugin) - } - } + return false; + }) } -} -export interface IconByName { - name: string -} - -export interface IconByG { - gicon: any -} + query(search: string) { + this.send({ "Search": search }) + } -export interface IconWidget { - widget: St.Widget -} + quit(id: number) { + this.send({ "Quit": id }) + } -export type IconSrc = IconByName | IconByG | IconWidget + select(id: number) { + this.send({ "Select": id }) + } -export interface AppOption { - app: app_info.AppInfo + send(object: Object) { + const message = JSON.stringify(object) + try { + this.service.stdin.write_all(message + "\n", null) + } catch (why) { + log.error(`failed to send request to pop-launcher: ${why}`) + } + } } -export interface WindowOption { - window: ShellWindow -} +/** Launcher types transmitted across the wire as JSON. */ +export namespace JsonIPC { + export interface SearchResult { + id: number, + name: string, + description: string, + icon?: IconSource, + category_icon?: IconSource, + window?: [number, number] + } -export interface PluginOption { - plugin: PluginType.Source, - id: number -} -export interface CalcOption { - output: string -} + export type IconSource = IconV.Name | IconV.Mime | IconV.Window -export type Identity = AppOption | WindowOption | PluginOption | CalcOption - -export class SearchOption { - title: string - description: null | string - id: Identity - exec: null | string - keywords: null | Array - - widget: St.Button - - shortcut: St.Widget = new St.Label({ text: "", y_align: Clutter.ActorAlign.CENTER, style: "padding-left: 6px;padding-right: 6px" }) - - constructor(title: string, description: null | string, category_icon: string, icon: null | IconSrc, icon_size: number, id: Identity, - exec: null | string, keywords: null | Array) { - this.title = title - this.description = description - this.id = id - this.exec = exec - this.keywords = keywords - - let cat_icon - const cat_icon_file = Gio.File.new_for_path(category_icon) - if (cat_icon_file.query_exists(null)) { - cat_icon = new St.Icon({ - gicon: Gio.icon_new_for_string(category_icon), - icon_size: icon_size / 2, - style_class: "pop-shell-search-icon" - }) - } else { - cat_icon = new St.Icon({ - icon_name: category_icon, - icon_size: icon_size / 2, - style_class: "pop-shell-search-cat" - }) + namespace IconV { + export interface Name { + Name: string } - let layout = new St.BoxLayout({}) - - cat_icon.set_y_align(Clutter.ActorAlign.CENTER) - - let label = new St.Label({ text: title }) + export interface Mime { + Mime: string + } - label.clutter_text.set_ellipsize(Pango.EllipsizeMode.END) - layout.add_child(cat_icon) + export interface Window { + Window: [number, number] + } + } - if (icon) { - let app_icon + export type Response = ResponseV.Update | ResponseV.Fill | ResponseV.Close | ResponseV.DesktopEntryR | ResponseV.Context - if ("name" in icon) { - const file = Gio.File.new_for_path(icon.name) + namespace ResponseV { + export type Close = "Close" - if (file.query_exists(null)) { - app_icon = new St.Icon({ - gicon: Gio.icon_new_for_string(icon.name), - icon_size, - style_class: "pop-shell-search-icon" - }) - } else { - app_icon = new St.Icon({ - icon_name: icon.name, - icon_size, - style_class: "pop-shell-search-icon" - }) - } - } else if ("gicon" in icon) { - app_icon = new St.Icon({ - gicon: icon.gicon, - icon_size, - style_class: "pop-shell-search-icon" - }) - } else { - app_icon = icon.widget; - (app_icon as any).style_class = "pop-shell-search-icon" + export interface Context { + "Context": { + id: number, + options: Array } - - app_icon.set_y_align(Clutter.ActorAlign.CENTER) - layout.add_child(app_icon) } - let info_box = new St.BoxLayout({ y_align: Clutter.ActorAlign.CENTER, vertical: true, x_expand: true }); + export interface ContextOption { + id: number, + name: string + } - info_box.add_child(label) + export interface Update { + "Update": Array + } - if (description) { - info_box.add_child(new St.Label({ text: description, style: "font-size: small" })) + export interface Fill { + "Fill": string } - layout.add_child(info_box) - layout.add_child(this.shortcut) + export interface DesktopEntryR { + "DesktopEntry": DesktopEntry + } + } - this.widget = new St.Button({ style_class: "pop-shell-search-element" }); - (this.widget as any).add_actor(layout) + export interface DesktopEntry { + path: string, + gpu_preference: GpuPreference, } -} + + export type GpuPreference = "Default" | "NonDefault" +} \ No newline at end of file diff --git a/src/levenshtein.ts b/src/levenshtein.ts deleted file mode 100644 index 5dd587d9..00000000 --- a/src/levenshtein.ts +++ /dev/null @@ -1,100 +0,0 @@ -/** - * Based on https://github.com/gustf/js-levenshtein/blob/master/index.js - * MIT License - * Copyright (c) 2017 Gustaf Andersson - */ - -function _min(d0: number, d1: number, d2: number, bx: number, ay: number): number { - return d0 < d1 || d2 < d1 - ? d0 > d2 - ? d2 + 1 - : d0 + 1 - : bx === ay - ? d1 - : d1 + 1 -} - -export function compare(a: string, b: string): number { - if (a === b) return 0 - - if (a.length > b.length) { - const tmp = a - a = b - b = tmp - } - - let la = a.length - let lb = b.length - - while (la > 0 && (a.charCodeAt(la - 1) === b.charCodeAt(lb - 1))) { - la-- - lb-- - } - - let offset = 0 - - while (offset < la && (a.charCodeAt(offset) === b.charCodeAt(offset))) { - offset++ - } - - la -= offset - lb -= offset - - if (la === 0 || lb < 3) return lb - - let x = 0, - y = 0, - d0 = 0, - d1 = 0, - d2 = 0, - d3 = 0, - dd = 0, - dy = 0, - ay = 0, - bx0 = 0, - bx1 = 0, - bx2 = 0, - bx3 = 0 - - const vector = [] - - for (y = 0; y < la; y++) { - vector.push(y + 1) - vector.push(a.charCodeAt(offset + y)) - } - - let len = vector.length - 1 - - for (; x < lb - 3;) { - bx0 = b.charCodeAt(offset + (d0 = x)) - bx1 = b.charCodeAt(offset + (d1 = x + 1)) - bx2 = b.charCodeAt(offset + (d2 = x + 2)) - bx3 = b.charCodeAt(offset + (d3 = x + 3)) - dd = (x += 4) - for (y = 0; y < len; y += 2) { - dy = vector[y] - ay = vector[y + 1] - d0 = _min(dy, d0, d1, bx0, ay) - d1 = _min(d0, d1, d2, bx1, ay) - d2 = _min(d1, d2, d3, bx2, ay) - dd = _min(d2, d3, dd, bx3, ay) - vector[y] = dd - d3 = d2 - d2 = d1 - d1 = d0 - d0 = dy - } - } - - for (; x < lb;) { - bx0 = b.charCodeAt(offset + (d0 = x)) - dd = ++x - for (y = 0; y < len; y += 2) { - dy = vector[y] - vector[y] = dd = _min(dy, d0, dd, bx0, vector[y + 1]) - d0 = dy - } - } - - return dd -} \ No newline at end of file diff --git a/src/mod.d.ts b/src/mod.d.ts index ccb0c576..8d4742ff 100644 --- a/src/mod.d.ts +++ b/src/mod.d.ts @@ -196,6 +196,7 @@ declare namespace Meta { get_stable_sequence(): number; get_title(): string; get_transient_for(): Window | null; + get_user_time(): number; get_wm_class(): string | null; get_wm_class_instance(): string | null; get_work_area_for_monitor(monitor: number): null | Rectangular; diff --git a/src/panel_settings.ts b/src/panel_settings.ts index f71fc886..83ff56c8 100644 --- a/src/panel_settings.ts +++ b/src/panel_settings.ts @@ -1,10 +1,7 @@ const Me = imports.misc.extensionUtils.getCurrentExtension(); -// import * as auto_tiler from 'auto_tiler'; import * as Utils from 'utils'; -import { Launcher } from './dialog_launcher'; -//import type { Entity } from './ecs'; import type { Ext } from './extension'; const { Clutter, Gio, St } = imports.gi; diff --git a/src/plugin_files.ts b/src/plugin_files.ts deleted file mode 100644 index 63c6d9e5..00000000 --- a/src/plugin_files.ts +++ /dev/null @@ -1,89 +0,0 @@ -// @ts-ignore -const Me = imports.misc.extensionUtils.getCurrentExtension() - -const { Gio, GLib } = imports.gi - -import * as plugins from 'launcher_plugins' -import * as utils from 'utils' - -import type { Response, Selection } from 'launcher_plugins' -import type { Ext } from './extension' - -function add(id: number, file: string, content_type: string): Selection { - const pos = file.lastIndexOf("/") - return { - id, - name: pos === 0 ? file : file.substr(pos + 1), - description: "~/" + file, - content_type - } -} - -export class ShellBuiltin extends plugins.Builtin { - selections: Array = [] - - init() {} - - query(_ :Ext, query: string): Response.Response { - let id = 0 - this.selections.splice(0) - const search = query.substr(query.indexOf(" ") + 1).trim() - if (search.length > 2) { - const cmd = utils.async_process_ipc(["fdfind", search]) - if (cmd) { - while (true) { - try { - const [bytes,read] = cmd.stdout.read_line(null) - if (bytes === null || read === 0) break - const file = imports.byteArray.toString(bytes) - const gfile = Gio.File.new_for_path(file) - if (gfile.query_exists(null)) { - let content_type - if (GLib.file_test (file, GLib.FileTest.IS_DIR)) { - content_type = "inode/directory" - } else { - const [c,] = Gio.content_type_guess(file, null) - content_type = c - } - - this.selections.push(add(id, file, content_type)) - id += 1 - - if (id === 7) { - break - } - } - } catch (e) { - global.log(`pop-shell: plugin-files: ${e.message}`) - break - } - } - } - } else { - this.selections.push({ id: 0, name: "file ", description: "" }) - } - - return { - event: "queried", - selections: this.selections - } - } - - submit(_: Ext, id: number): Response.Response { - const result = this.selections[id] - - if (result) { - if (result.description.length === 0) { - return { event: "noop" } - } - - try { - GLib.spawn_command_line_async(`xdg-open '${result.description.substr(2)}'`) - } catch (e) { - global.log(`xdg-open failed: ${e}`) - } - } - - return { event: "close" } - } -} \ No newline at end of file diff --git a/src/plugin_help.ts b/src/plugin_help.ts deleted file mode 100644 index 32b1ec83..00000000 --- a/src/plugin_help.ts +++ /dev/null @@ -1,57 +0,0 @@ -// @ts-ignore -const Me = imports.misc.extensionUtils.getCurrentExtension() - -import * as plugins from 'launcher_plugins' -import * as service from 'launcher_service' - -import type { Response, Selection } from 'launcher_plugins' -import type { Ext } from './extension' - -export class ShellBuiltin extends plugins.Builtin { - selections: Array = [] - - init() {} - - query(ext :Ext, _: string): Response.Response { - this.selections.splice(0); - let id = 0; - - const files = new Map([[service.BUILTIN_FILES.config.name, service.BUILTIN_FILES]]) - for (const map of [files, ext.window_search.service.plugins]) { - for (const [name, service] of map) { - if (service.config.pattern?.length > 0) { - const example = service.config.examples - ? service.config.examples - : service.config.pattern; - - this.selections.push({ - id, - name, - description: service.config.description + `: ${example}`, - fill: service.config.fill - }) - id += 1; - } - } - } - - - return { - event: "queried", - selections: this.selections - } - } - - submit(_: Ext, id: number): Response.Response { - const selection = this.selections[id]; - - let text = "" - if (selection) { - if (selection.fill) { - text = selection.fill; - } - } - - return { event: "fill", text } - } -} \ No newline at end of file diff --git a/src/plugin_scripts.ts b/src/plugin_scripts.ts deleted file mode 100644 index 94c874aa..00000000 --- a/src/plugin_scripts.ts +++ /dev/null @@ -1,145 +0,0 @@ -// @ts-ignore -const Me = imports.misc.extensionUtils.getCurrentExtension() - -const { Gio, GLib } = imports.gi - -import * as plugins from 'launcher_plugins' - -import type { Ext } from 'extension' -import type { Response } from 'launcher_plugins' - -/** Scripts maintained by the user */ -const LOCAL: string = GLib.get_home_dir() + "/.local/share/pop-shell/scripts/" - -/** Scripts maintained by this project, or the distribution */ -const SYSTEM: string = "/usr/lib/pop-shell/scripts/" - -interface ScriptData { - name: string - path: string - keywords: Array - description: null | string - icon?: string -} - -export class ScriptsBuiltin extends plugins.Builtin { - scripts: Array = new Array() - - filtered: Array = new Array() - - sums: Set = new Set() - - init() { - this.sums.clear() - this.scripts.splice(0) - - this.load_from(LOCAL) - this.load_from(SYSTEM) - } - - load_from(path: string) { - try { - const dir = Gio.file_new_for_path(path) - - if (!dir.query_exists(null)) return - - const entries = dir.enumerate_children('standard::*', Gio.FileQueryInfoFlags.NONE, null); - - let entry; - - while ((entry = entries.next_file(null)) !== null) { - const name = entry.get_name() - - if (this.sums.has(name)) continue - - /** Describes a script, parsed from code comments at the top of the file */ - const metadata: ScriptData = { - name, - path: path + name, - keywords: new Array(), - description: null, - } - - try { - const stream = Gio.DataInputStream.new(Gio.File.new_for_path(metadata.path).read(null)) - - while (true) { - const [bytes] = stream.read_line(null) - - if (!bytes) break - - let line = imports.byteArray.toString(bytes) - - if (!line.startsWith("#")) break - - line = line.substring(1).trim() - - if (line.startsWith("name:")) { - metadata.name = line.substring(5).trim() - } else if (line.startsWith("description:")) { - metadata.description = line.substring(12).trim() - } else if (line.startsWith("icon:")) { - metadata.icon = line.substring(5).trim() - } else if (line.startsWith("keywords:")) { - metadata.keywords = line.substring(9).trim().split(/\s+/) - } - } - - this.scripts.push(metadata) - this.sums.add(name) - } catch (e) { - log(`failed to read from script at ${metadata.path}: ${e}`) - continue - } - } - } catch (e) { - log(`failure to collect scripts for script plugin: ${e}`) - } - } - - query(_: Ext, query: string): Response.Response { - this.filtered.splice(0) - this.selections.splice(0) - - query = query.toLowerCase() - - let id = 0 - - for (const script of this.scripts) { - let should_include = script.name.toLowerCase().includes(query) - || script.description?.toLowerCase().includes(query) - || script.keywords.reduce((acc: boolean, next: string) => acc || next.includes(query), false) - - if (should_include) { - const selection: Response.Selection = { - id, - name: script.name, - description: script.description, - } - - if (script.icon) selection.icon = script.icon - - this.selections.push(selection) - this.filtered.push(script) - - id += 1 - } - } - - return { event: "queried", selections: this.selections } - } - - submit(_: Ext, id: number): Response.Response { - let script = this.filtered[id] - - if (script) { - try { - GLib.spawn_command_line_async(`sh ${script.path}`) - } catch (e) { - log(`failed to spawn script at ${script.path}: ${e}`) - } - } - - return { event: "noop" } - } -} \ No newline at end of file diff --git a/src/plugin_shell.ts b/src/plugin_shell.ts deleted file mode 100644 index a92904e1..00000000 --- a/src/plugin_shell.ts +++ /dev/null @@ -1,78 +0,0 @@ -// @ts-ignore -const Me = imports.misc.extensionUtils.getCurrentExtension() - -import * as plugins from 'launcher_plugins' - -import type { Response, Selection } from 'launcher_plugins' -import type { Ext } from './extension' - - -const SELECTIONS: Array = [ - { - id: 0, - name: "Toggle Active Hint", - description: "Decorates the actively-focused window" - }, - { - id: 1, - name: "Toggle Orientation", - description: "Toggles the orientation of a tiling branch" - }, - { - id: 2, - name: "Toggle Stacking", - description: "Stacks a window, or unstacks a stack with a single window" - }, - { - id: 3, - name: "Toggle Window Titles", - description: "Shows or hides window title bars in X11", - }, - { - id: 4, - name: "Toggle Window Tiling", - description: "Tiled windows are arranged side by side on the screen", - }, - { - id: 5, - name: "Toggle Minimized to Tray Windows (Experimental)", - description: "Handle windows with minimized to tray or skip taskbar option", - }, -] - -export class ShellBuiltin extends plugins.Builtin { - init() {} - - query(_ :Ext, query: string): Response.Response { - query = query.toLowerCase() - return { - event: "queried", - selections: SELECTIONS.filter((selection) => selection.name.toLowerCase().includes(query)) - } - } - - submit(ext: Ext, id: number): Response.Response { - switch (id) { - case 0: - ext.settings.set_active_hint(!ext.settings.active_hint()) - break - case 1: - ext.tiler.toggle_orientation(ext) - break - case 2: - ext.tiler.toggle_stacking(ext) - break - case 3: - ext.settings.set_show_title(!ext.settings.show_title()) - break - case 4: - ext.toggle_tiling() - break - case 5: - ext.settings.set_show_skiptaskbar(!ext.settings.show_skiptaskbar()); - break - } - - return { event: "noop" } - } -} diff --git a/src/plugins/README.md b/src/plugins/README.md deleted file mode 100644 index d2fb3c9f..00000000 --- a/src/plugins/README.md +++ /dev/null @@ -1,128 +0,0 @@ -# Launcher Plugins - -The shell launches these plugins when the launcher is started, and communicates to them via JSON IPC. - -See the plugins in this directory as examples of how to create a plugin. - -## Plugin Metadata - -Every plugin is a directory that contains a `meta.json` file with the following properties: - -```js -{ - "name": "Name of Plugin", - "description": "Description of the Plugin", - "pattern": "Regular expression that queries should match in order to query it", - "exec": "The name of the file which will be executed as the plugin service", - "icon": "some-gicon-name" -} -``` - -## Requests by Pop Shell - -### Tab Completion - -Requests for the plugin to complete the search, if possible. The plugin should remember the last query it received if it intends to complete a query - -```json -{ - "event": "complete" -} -``` - -### Query - -Fetch a list of search results for the launcher to choose from - -```json -{ - "event": "query", - - "value": "Text to search" -} -``` - -### Quit - -Request for the plugin to quit - -```json -{ - "event": "quit" -} -``` - -### Submit - -Request to apply one of the search results that were previously queried - -```json -{ - "event": "submit", - - "id": number -} -``` - -## Responses by Plugins - -### Queried - -A list of search results to display - -```js -{ - "event": "queried", - - // An array of selections to choose from - "selections": [ - { - // An ID that the user can select to execute in the plugin - "id": number, - - // Text to show as the item's name - "name": string, - - // Text to show beneath the option to describe it - "description": null | string, - - // Use this if your icon can be fetched from an icon theme - "icon": undefined | string, - - // Use this if your icon is a mime type string - "content_type": undefined | string, - } - ] -} -``` - -### Fill - -Replaces the launcher text with these contents - -```json -{ - "event": "fill", - - "text": string -} -``` - -### Close - -Requests to close the launcher - -```json -{ - "event": "close" -} -``` - -### Noop - -Tell the shell to do nothing when it expects a response - -```json -{ - "event": "noop" -} \ No newline at end of file diff --git a/src/plugins/calc/main.js b/src/plugins/calc/main.js deleted file mode 100755 index 4cd89315..00000000 --- a/src/plugins/calc/main.js +++ /dev/null @@ -1,124 +0,0 @@ -#!/usr/bin/gjs - -const { GLib, Gio } = imports.gi; - -/** The directory that this script is executed from. */ -const SCRIPT_DIR = GLib.path_get_dirname(new Error().stack.split(':')[0].slice(1)); - -/** Add our directory so we can import modules from it. */ -imports.searchPath.push(SCRIPT_DIR) - -const math = imports.math.math; -math.config({number: 'BigNumber'}); - -/** - * Request received by the Pop Shell launcher - * @typedef {Object} LauncherRequest - * @property {'complete' | 'submit' | 'query' | 'quit'} event - * @property {string?} value - * @property {number?} id - */ - -/** - * Selection for Pop Shell to display - * @typedef {Object} Selection - * @property {string} name - * @property {string} icon - * @property {string} description - * @property {number} id - */ - -const STDIN = new Gio.DataInputStream({ base_stream: new Gio.UnixInputStream({ fd: 0 }) }) -const STDOUT = new Gio.DataOutputStream({ base_stream: new Gio.UnixOutputStream({ fd: 1 }) }) - -class App { - constructor() { - this.last_query = "" - this.last_value = "" - } - - complete() { - this.send({ event: "noop" }) - } - - query(input) { - this.last_query = input.substr(1) - - try { - this.last_value = math.evaluate(this.last_query).toString() - } catch (e) { - this.last_value = this.last_query + ` x = ?` - } - - let selections = [{ - id: 0, - name: this.last_value, - description: null, - icon: 'accessories-calculator', - }] - - this.send({ event: "queried", selections }) - } - - submit(_id) { - this.send({ event: "fill", text: '= ' + this.last_value }) - } - - send(object) { - STDOUT.write_bytes(new GLib.Bytes(JSON.stringify(object) + "\n"), null) - } -} - -function main() { - /** @type {null | ByteArray} */ - let input_array - - /** @type {string} */ - let input_str - - /** @type {null | LauncherRequest} */ - let event_ - - let app = new App() - - mainloop: - while (true) { - try { - [input_array,] = STDIN.read_line(null) - } catch (e) { - break - } - - input_str = imports.byteArray.toString(input_array) - if ((event_ = parse_event(input_str)) !== null) { - switch (event_.event) { - case "complete": - app.complete() - break - case "query": - if (event_.value) app.query(event_.value) - break - case "quit": - break mainloop - case "submit": - if (event_.id !== null) app.submit(event_.id) - } - } - } -} - -/** - * Parses an IPC event received from STDIN - * @param {string} input - * @returns {null | LauncherRequest} - */ -function parse_event(input) { - try { - return JSON.parse(input) - } catch (e) { - log(`Input not valid JSON`) - return null - } -} - -main() \ No newline at end of file diff --git a/src/plugins/calc/math.js b/src/plugins/calc/math.js deleted file mode 100644 index a167cb1b..00000000 --- a/src/plugins/calc/math.js +++ /dev/null @@ -1,47 +0,0 @@ -/** - * math.js - * https://github.com/josdejong/mathjs - * - * Math.js is an extensive math library for JavaScript and Node.js, - * It features real and complex numbers, units, matrices, a large set of - * mathematical functions, and a flexible expression parser. - * - * @version 8.1.0 - * @date 2020-12-04 - * - * @license - * Copyright (C) 2013-2020 Jos de Jong - * - * Licensed under the Apache License, Version 2.0 (the "License"); you may not - * use this file except in compliance with the License. You may obtain a copy - * of the License at - * - * https://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the - * License for the specific language governing permissions and limitations under - * the License. - */ -!function (e, t) { "object" == typeof exports && "object" == typeof module ? module.exports = t(function () { try { return require("crypto") } catch (e) { } }()) : "function" == typeof define && define.amd ? define(["crypto"], t) : "object" == typeof exports ? exports.math = t(function () { try { return require("crypto") } catch (e) { } }()) : e.math = t(e.crypto) }(this, (function (e) { - return function (e) { var t = {}; function r(n) { if (t[n]) return t[n].exports; var i = t[n] = { i: n, l: !1, exports: {} }; return e[n].call(i.exports, i, i.exports, r), i.l = !0, i.exports } return r.m = e, r.c = t, r.d = function (e, t, n) { r.o(e, t) || Object.defineProperty(e, t, { enumerable: !0, get: n }) }, r.r = function (e) { "undefined" != typeof Symbol && Symbol.toStringTag && Object.defineProperty(e, Symbol.toStringTag, { value: "Module" }), Object.defineProperty(e, "__esModule", { value: !0 }) }, r.t = function (e, t) { if (1 & t && (e = r(e)), 8 & t) return e; if (4 & t && "object" == typeof e && e && e.__esModule) return e; var n = Object.create(null); if (r.r(n), Object.defineProperty(n, "default", { enumerable: !0, value: e }), 2 & t && "string" != typeof e) for (var i in e) r.d(n, i, function (t) { return e[t] }.bind(null, i)); return n }, r.n = function (e) { var t = e && e.__esModule ? function () { return e.default } : function () { return e }; return r.d(t, "a", t), t }, r.o = function (e, t) { return Object.prototype.hasOwnProperty.call(e, t) }, r.p = "", r(r.s = 20) }([, function (e, t, r) { - var n; - /** - * @license Complex.js v2.0.11 11/02/2016 - * - * Copyright (c) 2016, Robert Eisele (robert@xarg.org) - * Dual licensed under the MIT or GPL Version 2 licenses. - **/!function (r) { "use strict"; var i = function (e) { return .5 * (Math.exp(e) + Math.exp(-e)) }, a = function (e) { return .5 * (Math.exp(e) - Math.exp(-e)) }, o = function () { throw SyntaxError("Invalid Param") }; function s(e, t) { var r = Math.abs(e), n = Math.abs(t); return 0 === e ? 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(0 == t ? s = s / 1e3 | 0 : 1 == t ? s = s / 100 | 0 : 2 == t && (s = s / 10 | 0), o = (n || r < 4) && 9999 == s || !n && r > 3 && 4999 == s) : o = ((n || r < 4) && s + 1 == a || !n && r > 3 && s + 1 == a / 2) && (e[i + 1] / a / 1e3 | 0) == y(10, t - 3) - 1, o } function C(e, t, r) { for (var n, i, a = [0], o = 0, s = e.length; o < s;) { for (i = a.length; i--;)a[i] *= t; for (a[0] += c.indexOf(e.charAt(o++)), n = 0; n < a.length; n++)a[n] > r - 1 && (void 0 === a[n + 1] && (a[n + 1] = 0), a[n + 1] += a[n] / r | 0, a[n] %= r) } return a.reverse() } S.absoluteValue = S.abs = function () { var e = new this.constructor(this); return e.s < 0 && (e.s = 1), T(e) }, S.ceil = function () { return T(new this.constructor(this), this.e + 1, 2) }, S.comparedTo = S.cmp = function (e) { var t, r, n, i, a = this, o = a.d, s = (e = new a.constructor(e)).d, u = a.s, c = e.s; if (!o || !s) return u && c ? u !== c ? u : o === s ? 0 : !o ^ u < 0 ? 1 : -1 : NaN; if (!o[0] || !s[0]) return o[0] ? u : s[0] ? -c : 0; if (u !== c) return u; if (a.e !== e.e) return a.e > e.e ^ u < 0 ? 1 : -1; for (t = 0, r = (n = o.length) < (i = s.length) ? n : i; t < r; ++t)if (o[t] !== s[t]) return o[t] > s[t] ^ u < 0 ? 1 : -1; return n === i ? 0 : n > i ^ u < 0 ? 1 : -1 }, S.cosine = S.cos = function () { var e, t, r = this, n = r.constructor; return r.d ? r.d[0] ? (e = n.precision, t = n.rounding, n.precision = e + Math.max(r.e, r.sd()) + 7, n.rounding = 1, r = function (e, t) { var r, n, i = t.d.length; i < 32 ? (r = Math.ceil(i / 3), n = (1 / V(4, r)).toString()) : (r = 16, n = "2.3283064365386962890625e-10"); e.precision += r, t = G(e, 1, t.times(n), new e(1)); for (var a = r; a--;) { var o = t.times(t); t = o.times(o).minus(o).times(8).plus(1) } return e.precision -= r, t }(n, Z(n, r)), n.precision = e, n.rounding = t, T(2 == s || 3 == s ? r.neg() : r, e, t, !0)) : new n(1) : new n(NaN) }, S.cubeRoot = S.cbrt = function () { var e, t, r, n, i, a, o, s, u, c, f = this, l = f.constructor; if (!f.isFinite() || f.isZero()) return new l(f); for (m = !1, (a = f.s * y(f.s * f, 1 / 3)) && Math.abs(a) != 1 / 0 ? n = new l(a.toString()) : (r = E(f.d), (a = ((e = f.e) - r.length + 1) % 3) && (r += 1 == a || -2 == a ? "0" : "00"), a = y(r, 1 / 3), e = d((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2)), (n = new l(r = a == 1 / 0 ? "5e" + e : (r = a.toExponential()).slice(0, r.indexOf("e") + 1) + e)).s = f.s), o = (e = l.precision) + 3; ;)if (c = (u = (s = n).times(s).times(s)).plus(f), n = _(c.plus(f).times(s), c.plus(u), o + 2, 1), E(s.d).slice(0, o) === (r = E(n.d)).slice(0, o)) { if ("9999" != (r = r.slice(o - 3, o + 1)) && (i || "4999" != r)) { +r && (+r.slice(1) || "5" != r.charAt(0)) || (T(n, e + 1, 1), t = !n.times(n).times(n).eq(f)); break } if (!i && (T(s, e + 1, 0), s.times(s).times(s).eq(f))) { n = s; break } o += 4, i = 1 } return m = !0, T(n, e, l.rounding, t) }, S.decimalPlaces = S.dp = function () { var e, t = this.d, r = NaN; if (t) { if (r = 7 * ((e = t.length - 1) - d(this.e / 7)), e = t[e]) for (; e % 10 == 0; e /= 10)r--; r < 0 && (r = 0) } return r }, S.dividedBy = S.div = function (e) { return _(this, new this.constructor(e)) }, S.dividedToIntegerBy = S.divToInt = function (e) { var t = this.constructor; return T(_(this, new t(e), 0, 1, 1), t.precision, t.rounding) }, S.equals = S.eq = function (e) { return 0 === this.cmp(e) }, S.floor = function () { return T(new this.constructor(this), this.e + 1, 3) }, S.greaterThan = S.gt = function (e) { return this.cmp(e) > 0 }, S.greaterThanOrEqualTo = S.gte = function (e) { var t = this.cmp(e); return 1 == t || 0 === t }, S.hyperbolicCosine = S.cosh = function () { var e, t, r, n, i, a = this, o = a.constructor, s = new o(1); if (!a.isFinite()) return new o(a.s ? 1 / 0 : NaN); if (a.isZero()) return s; r = o.precision, n = o.rounding, o.precision = r + Math.max(a.e, a.sd()) + 4, o.rounding = 1, (i = a.d.length) < 32 ? t = (1 / V(4, e = Math.ceil(i / 3))).toString() : (e = 16, t = "2.3283064365386962890625e-10"), a = G(o, 1, a.times(t), new o(1), !0); for (var u, c = e, f = new o(8); c--;)u = a.times(a), a = s.minus(u.times(f.minus(u.times(f)))); return T(a, o.precision = r, o.rounding = n, !0) }, S.hyperbolicSine = S.sinh = function () { var e, t, r, n, i = this, a = i.constructor; if (!i.isFinite() || i.isZero()) return new a(i); if (t = a.precision, r = a.rounding, a.precision = t + Math.max(i.e, i.sd()) + 4, a.rounding = 1, (n = i.d.length) < 3) i = G(a, 2, i, i, !0); else { e = (e = 1.4 * Math.sqrt(n)) > 16 ? 16 : 0 | e, i = G(a, 2, i = i.times(1 / V(5, e)), i, !0); for (var o, s = new a(5), u = new a(16), c = new a(20); e--;)o = i.times(i), i = i.times(s.plus(o.times(u.times(o).plus(c)))) } return a.precision = t, a.rounding = r, T(i, t, r, !0) }, S.hyperbolicTangent = S.tanh = function () { var e, t, r = this, n = r.constructor; return r.isFinite() ? r.isZero() ? new n(r) : (e = n.precision, t = n.rounding, n.precision = e + 7, n.rounding = 1, _(r.sinh(), r.cosh(), n.precision = e, n.rounding = t)) : new n(r.s) }, S.inverseCosine = S.acos = function () { var e, t = this, r = t.constructor, n = t.abs().cmp(1), i = r.precision, a = r.rounding; return -1 !== n ? 0 === n ? t.isNeg() ? I(r, i, a) : new r(0) : new r(NaN) : t.isZero() ? I(r, i + 4, a).times(.5) : (r.precision = i + 6, r.rounding = 1, t = t.asin(), e = I(r, i + 4, a).times(.5), r.precision = i, r.rounding = a, e.minus(t)) }, S.inverseHyperbolicCosine = S.acosh = function () { var e, t, r = this, n = r.constructor; return r.lte(1) ? new n(r.eq(1) ? 0 : NaN) : r.isFinite() ? (e = n.precision, t = n.rounding, n.precision = e + Math.max(Math.abs(r.e), r.sd()) + 4, n.rounding = 1, m = !1, r = r.times(r).minus(1).sqrt().plus(r), m = !0, n.precision = e, n.rounding = t, r.ln()) : new n(r) }, S.inverseHyperbolicSine = S.asinh = function () { var e, t, r = this, n = r.constructor; return !r.isFinite() || r.isZero() ? new n(r) : (e = n.precision, t = n.rounding, n.precision = e + 2 * Math.max(Math.abs(r.e), r.sd()) + 6, n.rounding = 1, m = !1, r = r.times(r).plus(1).sqrt().plus(r), m = !0, n.precision = e, n.rounding = t, r.ln()) }, S.inverseHyperbolicTangent = S.atanh = function () { var e, t, r, n, i = this, a = i.constructor; return i.isFinite() ? i.e >= 0 ? new a(i.abs().eq(1) ? i.s / 0 : i.isZero() ? i : NaN) : (e = a.precision, t = a.rounding, n = i.sd(), Math.max(n, e) < 2 * -i.e - 1 ? T(new a(i), e, t, !0) : (a.precision = r = n - i.e, i = _(i.plus(1), new a(1).minus(i), r + e, 1), a.precision = e + 4, a.rounding = 1, i = i.ln(), a.precision = e, a.rounding = t, i.times(.5))) : new a(NaN) }, S.inverseSine = S.asin = function () { var e, t, r, n, i = this, a = i.constructor; return i.isZero() ? new a(i) : (t = i.abs().cmp(1), r = a.precision, n = a.rounding, -1 !== t ? 0 === t ? ((e = I(a, r + 4, n).times(.5)).s = i.s, e) : new a(NaN) : (a.precision = r + 6, a.rounding = 1, i = i.div(new a(1).minus(i.times(i)).sqrt().plus(1)).atan(), a.precision = r, a.rounding = n, i.times(2))) }, S.inverseTangent = S.atan = function () { var e, t, r, n, i, a, o, s, u, c = this, f = c.constructor, l = f.precision, p = f.rounding; if (c.isFinite()) { if (c.isZero()) return new f(c); if (c.abs().eq(1) && l + 4 <= M) return (o = I(f, l + 4, p).times(.25)).s = c.s, o } else { if (!c.s) return new f(NaN); if (l + 4 <= M) return (o = I(f, l + 4, p).times(.5)).s = c.s, o } for (f.precision = s = l + 10, f.rounding = 1, e = r = Math.min(28, s / 7 + 2 | 0); e; --e)c = c.div(c.times(c).plus(1).sqrt().plus(1)); for (m = !1, t = Math.ceil(s / 7), n = 1, u = c.times(c), o = new f(c), i = c; -1 !== e;)if (i = i.times(u), a = o.minus(i.div(n += 2)), i = i.times(u), void 0 !== (o = a.plus(i.div(n += 2))).d[t]) for (e = t; o.d[e] === a.d[e] && e--;); return r && (o = o.times(2 << r - 1)), m = !0, T(o, f.precision = l, f.rounding = p, !0) }, S.isFinite = function () { return !!this.d }, S.isInteger = S.isInt = function () { return !!this.d && d(this.e / 7) > this.d.length - 2 }, S.isNaN = function () { return !this.s }, S.isNegative = S.isNeg = function () { return this.s < 0 }, S.isPositive = S.isPos = function () { return this.s > 0 }, S.isZero = function () { return !!this.d && 0 === this.d[0] }, S.lessThan = S.lt = function (e) { return this.cmp(e) < 0 }, S.lessThanOrEqualTo = S.lte = function (e) { return this.cmp(e) < 1 }, S.logarithm = S.log = function (e) { var t, r, n, i, a, o, s, u, c = this.constructor, f = c.precision, l = c.rounding; if (null == e) e = new c(10), t = !0; else { if (r = (e = new c(e)).d, e.s < 0 || !r || !r[0] || e.eq(1)) return new c(NaN); t = e.eq(10) } if (r = this.d, this.s < 0 || !r || !r[0] || this.eq(1)) return new c(r && !r[0] ? -1 / 0 : 1 != this.s ? NaN : r ? 0 : 1 / 0); if (t) if (r.length > 1) a = !0; else { for (i = r[0]; i % 10 == 0;)i /= 10; a = 1 !== i } if (m = !1, o = F(this, s = f + 5), n = t ? k(c, s + 10) : F(e, s), O((u = _(o, n, s, 1)).d, i = f, l)) do { if (o = F(this, s += 10), n = t ? k(c, s + 10) : F(e, s), u = _(o, n, s, 1), !a) { +E(u.d).slice(i + 1, i + 15) + 1 == 1e14 && (u = T(u, f + 1, 0)); break } } while (O(u.d, i += 10, l)); return m = !0, T(u, f, l) }, S.minus = S.sub = function (e) { var t, r, n, i, a, o, s, u, c, f, l, p, h = this, y = h.constructor; if (e = new y(e), !h.d || !e.d) return h.s && e.s ? h.d ? e.s = -e.s : e = new y(e.d || h.s !== e.s ? h : NaN) : e = new y(NaN), e; if (h.s != e.s) return e.s = -e.s, h.plus(e); if (c = h.d, p = e.d, s = y.precision, u = y.rounding, !c[0] || !p[0]) { if (p[0]) e.s = -e.s; else { if (!c[0]) return new y(3 === u ? -0 : 0); e = new y(h) } return m ? T(e, s, u) : e } if (r = d(e.e / 7), f = d(h.e / 7), c = c.slice(), a = f - r) { for ((l = a < 0) ? (t = c, a = -a, o = p.length) : (t = p, r = f, o = c.length), a > (n = Math.max(Math.ceil(s / 7), o) + 2) && (a = n, t.length = 1), t.reverse(), n = a; n--;)t.push(0); t.reverse() } else { for ((l = (n = c.length) < (o = p.length)) && (o = n), n = 0; n < o; n++)if (c[n] != p[n]) { l = c[n] < p[n]; break } a = 0 } for (l && (t = c, c = p, p = t, e.s = -e.s), o = c.length, n = p.length - o; n > 0; --n)c[o++] = 0; for (n = p.length; n > a;) { if (c[--n] < p[n]) { for (i = n; i && 0 === c[--i];)c[i] = w - 1; --c[i], c[n] += w } c[n] -= p[n] } for (; 0 === c[--o];)c.pop(); for (; 0 === c[0]; c.shift())--r; return c[0] ? (e.d = c, e.e = z(c, r), m ? T(e, s, u) : e) : new y(3 === u ? -0 : 0) }, S.modulo = S.mod = function (e) { var t, r = this, n = r.constructor; return e = new n(e), !r.d || !e.s || e.d && !e.d[0] ? new n(NaN) : !e.d || r.d && !r.d[0] ? T(new n(r), n.precision, n.rounding) : (m = !1, 9 == n.modulo ? (t = _(r, e.abs(), 0, 3, 1)).s *= e.s : t = _(r, e, 0, n.modulo, 1), t = t.times(e), m = !0, r.minus(t)) }, S.naturalExponential = S.exp = function () { return U(this) }, S.naturalLogarithm = S.ln = function () { return F(this) }, S.negated = S.neg = function () { var e = new this.constructor(this); return e.s = -e.s, T(e) }, S.plus = S.add = function (e) { var t, r, n, i, a, o, s, u, c, f, l = this, p = l.constructor; if (e = new p(e), !l.d || !e.d) return l.s && e.s ? l.d || (e = new p(e.d || l.s === e.s ? l : NaN)) : e = new p(NaN), e; if (l.s != e.s) return e.s = -e.s, l.minus(e); if (c = l.d, f = e.d, s = p.precision, u = p.rounding, !c[0] || !f[0]) return f[0] || (e = new p(l)), m ? T(e, s, u) : e; if (a = d(l.e / 7), n = d(e.e / 7), c = c.slice(), i = a - n) { for (i < 0 ? (r = c, i = -i, o = f.length) : (r = f, n = a, o = c.length), i > (o = (a = Math.ceil(s / 7)) > o ? a + 1 : o + 1) && (i = o, r.length = 1), r.reverse(); i--;)r.push(0); r.reverse() } for ((o = c.length) - (i = f.length) < 0 && (i = o, r = f, f = c, c = r), t = 0; i;)t = (c[--i] = c[i] + f[i] + t) / w | 0, c[i] %= w; for (t && (c.unshift(t), ++n), o = c.length; 0 == c[--o];)c.pop(); return e.d = c, e.e = z(c, n), m ? T(e, s, u) : e }, S.precision = S.sd = function (e) { var t, r = this; if (void 0 !== e && e !== !!e && 1 !== e && 0 !== e) throw Error(h + e); return r.d ? (t = B(r.d), e && r.e + 1 > t && (t = r.e + 1)) : t = NaN, t }, S.round = function () { var e = this, t = e.constructor; return T(new t(e), e.e + 1, t.rounding) }, S.sine = S.sin = function () { var e, t, r = this, n = r.constructor; return r.isFinite() ? r.isZero() ? new n(r) : (e = n.precision, t = n.rounding, n.precision = e + Math.max(r.e, r.sd()) + 7, n.rounding = 1, r = function (e, t) { var r, n = t.d.length; if (n < 3) return G(e, 2, t, t); r = (r = 1.4 * Math.sqrt(n)) > 16 ? 16 : 0 | r, t = t.times(1 / V(5, r)), t = G(e, 2, t, t); for (var i, a = new e(5), o = new e(16), s = new e(20); r--;)i = t.times(t), t = t.times(a.plus(i.times(o.times(i).minus(s)))); return t }(n, Z(n, r)), n.precision = e, n.rounding = t, T(s > 2 ? r.neg() : r, e, t, !0)) : new n(NaN) }, S.squareRoot = S.sqrt = function () { var e, t, r, n, i, a, o = this, s = o.d, u = o.e, c = o.s, f = o.constructor; if (1 !== c || !s || !s[0]) return new f(!c || c < 0 && (!s || s[0]) ? NaN : s ? o : 1 / 0); for (m = !1, 0 == (c = Math.sqrt(+o)) || c == 1 / 0 ? (((t = E(s)).length + u) % 2 == 0 && (t += "0"), c = Math.sqrt(t), u = d((u + 1) / 2) - (u < 0 || u % 2), n = new f(t = c == 1 / 0 ? "5e" + u : (t = c.toExponential()).slice(0, t.indexOf("e") + 1) + u)) : n = new f(c.toString()), r = (u = f.precision) + 3; ;)if (n = (a = n).plus(_(o, a, r + 2, 1)).times(.5), E(a.d).slice(0, r) === (t = E(n.d)).slice(0, r)) { if ("9999" != (t = t.slice(r - 3, r + 1)) && (i || "4999" != t)) { +t && (+t.slice(1) || "5" != t.charAt(0)) || (T(n, u + 1, 1), e = !n.times(n).eq(o)); break } if (!i && (T(a, u + 1, 0), a.times(a).eq(o))) { n = a; break } r += 4, i = 1 } return m = !0, T(n, u, f.rounding, e) }, S.tangent = S.tan = function () { var e, t, r = this, n = r.constructor; return r.isFinite() ? r.isZero() ? new n(r) : (e = n.precision, t = n.rounding, n.precision = e + 10, n.rounding = 1, (r = r.sin()).s = 1, r = _(r, new n(1).minus(r.times(r)).sqrt(), e + 10, 0), n.precision = e, n.rounding = t, T(2 == s || 4 == s ? r.neg() : r, e, t, !0)) : new n(NaN) }, S.times = S.mul = function (e) { var t, r, n, i, a, o, s, u, c, f = this, l = f.constructor, p = f.d, h = (e = new l(e)).d; if (e.s *= f.s, !(p && p[0] && h && h[0])) return new l(!e.s || p && !p[0] && !h || h && !h[0] && !p ? NaN : p && h ? 0 * e.s : e.s / 0); for (r = d(f.e / 7) + d(e.e / 7), (u = p.length) < (c = h.length) && (a = p, p = h, h = a, o = u, u = c, c = o), a = [], n = o = u + c; n--;)a.push(0); for (n = c; --n >= 0;) { for (t = 0, i = u + n; i > n;)s = a[i] + h[n] * p[i - n - 1] + t, a[i--] = s % w | 0, t = s / w | 0; a[i] = (a[i] + t) % w | 0 } for (; !a[--o];)a.pop(); return t ? ++r : a.shift(), e.d = a, e.e = z(a, r), m ? T(e, l.precision, l.rounding) : e }, S.toBinary = function (e, t) { return W(this, 2, e, t) }, S.toDecimalPlaces = S.toDP = function (e, t) { var r = this, n = r.constructor; return r = new n(r), void 0 === e ? r : (A(e, 0, 1e9), void 0 === t ? t = n.rounding : A(t, 0, 8), T(r, e + r.e + 1, t)) }, S.toExponential = function (e, t) { var r, n = this, i = n.constructor; return void 0 === e ? r = q(n, !0) : (A(e, 0, 1e9), void 0 === t ? t = i.rounding : A(t, 0, 8), r = q(n = T(new i(n), e + 1, t), !0, e + 1)), n.isNeg() && !n.isZero() ? "-" + r : r }, S.toFixed = function (e, t) { var r, n, i = this, a = i.constructor; return void 0 === e ? r = q(i) : (A(e, 0, 1e9), void 0 === t ? t = a.rounding : A(t, 0, 8), r = q(n = T(new a(i), e + i.e + 1, t), !1, e + n.e + 1)), i.isNeg() && !i.isZero() ? "-" + r : r }, S.toFraction = function (e) { var t, r, n, i, a, o, s, u, c, f, l, p, d = this, g = d.d, v = d.constructor; if (!g) return new v(d); if (c = r = new v(1), n = u = new v(0), o = (a = (t = new v(n)).e = B(g) - d.e - 1) % 7, t.d[0] = y(10, o < 0 ? 7 + o : o), null == e) e = a > 0 ? t : c; else { if (!(s = new v(e)).isInt() || s.lt(c)) throw Error(h + s); e = s.gt(t) ? a > 0 ? t : c : s } for (m = !1, s = new v(E(g)), f = v.precision, v.precision = a = 7 * g.length * 2; l = _(s, t, 0, 1, 1), 1 != (i = r.plus(l.times(n))).cmp(e);)r = n, n = i, i = c, c = u.plus(l.times(i)), u = i, i = t, t = s.minus(l.times(i)), s = i; return i = _(e.minus(r), n, 0, 1, 1), u = u.plus(i.times(c)), r = r.plus(i.times(n)), u.s = c.s = d.s, p = _(c, n, a, 1).minus(d).abs().cmp(_(u, r, a, 1).minus(d).abs()) < 1 ? [c, n] : [u, r], v.precision = f, m = !0, p }, S.toHexadecimal = S.toHex = function (e, t) { return W(this, 16, e, t) }, S.toNearest = function (e, t) { var r = this, n = r.constructor; if (r = new n(r), null == e) { if (!r.d) return r; e = new n(1), t = n.rounding } else { if (e = new n(e), void 0 === t ? t = n.rounding : A(t, 0, 8), !r.d) return e.s ? r : e; if (!e.d) return e.s && (e.s = r.s), e } return e.d[0] ? (m = !1, r = _(r, e, 0, t, 1).times(e), m = !0, T(r)) : (e.s = r.s, r = e), r }, S.toNumber = function () { return +this }, S.toOctal = function (e, t) { return W(this, 8, e, t) }, S.toPower = S.pow = function (e) { var t, r, n, i, a, o, s = this, u = s.constructor, c = +(e = new u(e)); if (!(s.d && e.d && s.d[0] && e.d[0])) return new u(y(+s, c)); if ((s = new u(s)).eq(1)) return s; if (n = u.precision, a = u.rounding, e.eq(1)) return T(s, n, a); if ((t = d(e.e / 7)) >= e.d.length - 1 && (r = c < 0 ? -c : c) <= 9007199254740991) return i = R(u, s, r, n), e.s < 0 ? new u(1).div(i) : T(i, n, a); if ((o = s.s) < 0) { if (t < e.d.length - 1) return new u(NaN); if (0 == (1 & e.d[t]) && (o = 1), 0 == s.e && 1 == s.d[0] && 1 == s.d.length) return s.s = o, s } return (t = 0 != (r = y(+s, c)) && isFinite(r) ? new u(r + "").e : d(c * (Math.log("0." + E(s.d)) / Math.LN10 + s.e + 1))) > u.maxE + 1 || t < u.minE - 1 ? new u(t > 0 ? o / 0 : 0) : (m = !1, u.rounding = s.s = 1, r = Math.min(12, (t + "").length), (i = U(e.times(F(s, n + r)), n)).d && O((i = T(i, n + 5, 1)).d, n, a) && (t = n + 10, +E((i = T(U(e.times(F(s, t + r)), t), t + 5, 1)).d).slice(n + 1, n + 15) + 1 == 1e14 && (i = T(i, n + 1, 0))), i.s = o, m = !0, u.rounding = a, T(i, n, a)) }, S.toPrecision = function (e, t) { var r, n = this, i = n.constructor; return void 0 === e ? r = q(n, n.e <= i.toExpNeg || n.e >= i.toExpPos) : (A(e, 1, 1e9), void 0 === t ? t = i.rounding : A(t, 0, 8), r = q(n = T(new i(n), e, t), e <= n.e || n.e <= i.toExpNeg, e)), n.isNeg() && !n.isZero() ? "-" + r : r }, S.toSignificantDigits = S.toSD = function (e, t) { var r = this.constructor; return void 0 === e ? (e = r.precision, t = r.rounding) : (A(e, 1, 1e9), void 0 === t ? t = r.rounding : A(t, 0, 8)), T(new r(this), e, t) }, S.toString = function () { var e = this, t = e.constructor, r = q(e, e.e <= t.toExpNeg || e.e >= t.toExpPos); return e.isNeg() && !e.isZero() ? "-" + r : r }, S.truncated = S.trunc = function () { return T(new this.constructor(this), this.e + 1, 1) }, S.valueOf = S.toJSON = function () { var e = this, t = e.constructor, r = q(e, e.e <= t.toExpNeg || e.e >= t.toExpPos); return e.isNeg() ? "-" + r : r }; var _ = function () { function e(e, t, r) { var n, i = 0, a = e.length; for (e = e.slice(); a--;)n = e[a] * t + i, e[a] = n % r | 0, i = n / r | 0; return i && e.unshift(i), e } function t(e, t, r, n) { var i, a; if (r != n) a = r > n ? 1 : -1; else for (i = a = 0; i < r; i++)if (e[i] != t[i]) { a = e[i] > t[i] ? 1 : -1; break } return a } function r(e, t, r, n) { for (var i = 0; r--;)e[r] -= i, i = e[r] < t[r] ? 1 : 0, e[r] = i * n + e[r] - t[r]; for (; !e[0] && e.length > 1;)e.shift() } return function (n, i, a, s, u, c) { var f, l, p, m, h, y, g, v, x, b, N, M, S, E, A, O, C, _, q, z, k = n.constructor, I = n.s == i.s ? 1 : -1, B = n.d, D = i.d; if (!(B && B[0] && D && D[0])) return new k(n.s && i.s && (B ? !D || B[0] != D[0] : D) ? B && 0 == B[0] || !D ? 0 * I : I / 0 : NaN); for (c ? (h = 1, l = n.e - i.e) : (c = w, h = 7, l = d(n.e / h) - d(i.e / h)), q = D.length, C = B.length, b = (x = new k(I)).d = [], p = 0; D[p] == (B[p] || 0); p++); if (D[p] > (B[p] || 0) && l--, null == a ? (E = a = k.precision, s = k.rounding) : E = u ? a + (n.e - i.e) + 1 : a, E < 0) b.push(1), y = !0; else { if (E = E / h + 2 | 0, p = 0, 1 == q) { for (m = 0, D = D[0], E++; (p < C || m) && E--; p++)A = m * c + (B[p] || 0), b[p] = A / D | 0, m = A % D | 0; y = m || p < C } else { for ((m = c / (D[0] + 1) | 0) > 1 && (D = e(D, m, c), B = e(B, m, c), q = D.length, C = B.length), O = q, M = (N = B.slice(0, q)).length; M < q;)N[M++] = 0; (z = D.slice()).unshift(0), _ = D[0], D[1] >= c / 2 && ++_; do { m = 0, (f = t(D, N, q, M)) < 0 ? (S = N[0], q != M && (S = S * c + (N[1] || 0)), (m = S / _ | 0) > 1 ? (m >= c && (m = c - 1), 1 == (f = t(g = e(D, m, c), N, v = g.length, M = N.length)) && (m--, r(g, q < v ? z : D, v, c))) : (0 == m && (f = m = 1), g = D.slice()), (v = g.length) < M && g.unshift(0), r(N, g, M, c), -1 == f && (f = t(D, N, q, M = N.length)) < 1 && (m++, r(N, q < M ? z : D, M, c)), M = N.length) : 0 === f && (m++, N = [0]), b[p++] = m, f && N[0] ? N[M++] = B[O] || 0 : (N = [B[O]], M = 1) } while ((O++ < C || void 0 !== N[0]) && E--); y = void 0 !== N[0] } b[0] || b.shift() } if (1 == h) x.e = l, o = y; else { for (p = 1, m = b[0]; m >= 10; m /= 10)p++; x.e = p + l * h - 1, T(x, u ? a + x.e + 1 : a, s, y) } return x } }(); function T(e, t, r, n) { var i, a, o, s, u, c, f, l, p, h = e.constructor; e: if (null != t) { if (!(l = e.d)) return e; for (i = 1, s = l[0]; s >= 10; s /= 10)i++; if ((a = t - i) < 0) a += 7, o = t, u = (f = l[p = 0]) / y(10, i - o - 1) % 10 | 0; else if ((p = Math.ceil((a + 1) / 7)) >= (s = l.length)) { if (!n) break e; for (; s++ <= p;)l.push(0); f = u = 0, i = 1, o = (a %= 7) - 7 + 1 } else { for (f = s = l[p], i = 1; s >= 10; s /= 10)i++; u = (o = (a %= 7) - 7 + i) < 0 ? 0 : f / y(10, i - o - 1) % 10 | 0 } if (n = n || t < 0 || void 0 !== l[p + 1] || (o < 0 ? f : f % y(10, i - o - 1)), c = r < 4 ? (u || n) && (0 == r || r == (e.s < 0 ? 3 : 2)) : u > 5 || 5 == u && (4 == r || n || 6 == r && (a > 0 ? o > 0 ? f / y(10, i - o) : 0 : l[p - 1]) % 10 & 1 || r == (e.s < 0 ? 8 : 7)), t < 1 || !l[0]) return l.length = 0, c ? (t -= e.e + 1, l[0] = y(10, (7 - t % 7) % 7), e.e = -t || 0) : l[0] = e.e = 0, e; if (0 == a ? (l.length = p, s = 1, p--) : (l.length = p + 1, s = y(10, 7 - a), l[p] = o > 0 ? (f / y(10, i - o) % y(10, o) | 0) * s : 0), c) for (; ;) { if (0 == p) { for (a = 1, o = l[0]; o >= 10; o /= 10)a++; for (o = l[0] += s, s = 1; o >= 10; o /= 10)s++; a != s && (e.e++, l[0] == w && (l[0] = 1)); break } if (l[p] += s, l[p] != w) break; l[p--] = 0, s = 1 } for (a = l.length; 0 === l[--a];)l.pop() } return m && (e.e > h.maxE ? (e.d = null, e.e = NaN) : e.e < h.minE && (e.e = 0, e.d = [0])), e } function q(e, t, r) { if (!e.isFinite()) return L(e); var n, i = e.e, a = E(e.d), o = a.length; return t ? (r && (n = r - o) > 0 ? a = a.charAt(0) + "." + a.slice(1) + D(n) : o > 1 && (a = a.charAt(0) + "." + a.slice(1)), a = a + (e.e < 0 ? "e" : "e+") + e.e) : i < 0 ? (a = "0." + D(-i - 1) + a, r && (n = r - o) > 0 && (a += D(n))) : i >= o ? (a += D(i + 1 - o), r && (n = r - i - 1) > 0 && (a = a + "." + D(n))) : ((n = i + 1) < o && (a = a.slice(0, n) + "." + a.slice(n)), r && (n = r - o) > 0 && (i + 1 === o && (a += "."), a += D(n))), a } function z(e, t) { var r = e[0]; for (t *= 7; r >= 10; r /= 10)t++; return t } function k(e, t, r) { if (t > N) throw m = !0, r && (e.precision = r), Error("[DecimalError] Precision limit exceeded"); return T(new e(f), t, 1, !0) } function I(e, t, r) { if (t > M) throw Error("[DecimalError] Precision limit exceeded"); return T(new e(l), t, r, !0) } function B(e) { var t = e.length - 1, r = 7 * t + 1; if (t = e[t]) { for (; t % 10 == 0; t /= 10)r--; for (t = e[0]; t >= 10; t /= 10)r++ } return r } function D(e) { for (var t = ""; e--;)t += "0"; return t } function R(e, t, r, n) { var i, a = new e(1), o = Math.ceil(n / 7 + 4); for (m = !1; ;) { if (r % 2 && J((a = a.times(t)).d, o) && (i = !0), 0 === (r = d(r / 2))) { r = a.d.length - 1, i && 0 === a.d[r] && ++a.d[r]; break } J((t = t.times(t)).d, o) } return m = !0, a } function j(e) { return 1 & e.d[e.d.length - 1] } function P(e, t, r) { for (var n, i = new e(t[0]), a = 0; ++a < t.length;) { if (!(n = new e(t[a])).s) { i = n; break } i[r](n) && (i = n) } return i } function U(e, t) { var r, n, i, a, o, s, u, c = 0, f = 0, l = 0, p = e.constructor, h = p.rounding, d = p.precision; if (!e.d || !e.d[0] || e.e > 17) return new p(e.d ? e.d[0] ? e.s < 0 ? 0 : 1 / 0 : 1 : e.s ? e.s < 0 ? 0 : e : NaN); for (null == t ? (m = !1, u = d) : u = t, s = new p(.03125); e.e > -2;)e = e.times(s), l += 5; for (u += n = Math.log(y(2, l)) / Math.LN10 * 2 + 5 | 0, r = a = o = new p(1), p.precision = u; ;) { if (a = T(a.times(e), u, 1), r = r.times(++f), E((s = o.plus(_(a, r, u, 1))).d).slice(0, u) === E(o.d).slice(0, u)) { for (i = l; i--;)o = T(o.times(o), u, 1); if (null != t) return p.precision = d, o; if (!(c < 3 && O(o.d, u - n, h, c))) return T(o, p.precision = d, h, m = !0); p.precision = u += 10, r = a = s = new p(1), f = 0, c++ } o = s } } function F(e, t) { var r, n, i, a, o, s, u, c, f, l, p, h = 1, d = e, y = d.d, g = d.constructor, v = g.rounding, x = g.precision; if (d.s < 0 || !y || !y[0] || !d.e && 1 == y[0] && 1 == y.length) return new g(y && !y[0] ? -1 / 0 : 1 != d.s ? NaN : y ? 0 : d); if (null == t ? (m = !1, f = x) : f = t, g.precision = f += 10, n = (r = E(y)).charAt(0), !(Math.abs(a = d.e) < 15e14)) return c = k(g, f + 2, x).times(a + ""), d = F(new g(n + "." + r.slice(1)), f - 10).plus(c), g.precision = x, null == t ? T(d, x, v, m = !0) : d; for (; n < 7 && 1 != n || 1 == n && r.charAt(1) > 3;)n = (r = E((d = d.times(e)).d)).charAt(0), h++; for (a = d.e, n > 1 ? (d = new g("0." + r), a++) : d = new g(n + "." + r.slice(1)), l = d, u = o = d = _(d.minus(1), d.plus(1), f, 1), p = T(d.times(d), f, 1), i = 3; ;) { if (o = T(o.times(p), f, 1), E((c = u.plus(_(o, new g(i), f, 1))).d).slice(0, f) === E(u.d).slice(0, f)) { if (u = u.times(2), 0 !== a && (u = u.plus(k(g, f + 2, x).times(a + ""))), u = _(u, new g(h), f, 1), null != t) return g.precision = x, u; if (!O(u.d, f - 10, v, s)) return T(u, g.precision = x, v, m = !0); g.precision = f += 10, c = o = d = _(l.minus(1), l.plus(1), f, 1), p = T(d.times(d), f, 1), i = s = 1 } u = c, i += 2 } } function L(e) { return String(e.s * e.s / 0) } function H(e, t) { var r, n, i; for ((r = t.indexOf(".")) > -1 && (t = t.replace(".", "")), (n = t.search(/e/i)) > 0 ? 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"-" + p : p } function J(e, t) { if (e.length > t) return e.length = t, !0 } function Y(e) { return new this(e).abs() } function X(e) { return new this(e).acos() } function Q(e) { return new this(e).acosh() } function K(e, t) { return new this(e).plus(t) } function ee(e) { return new this(e).asin() } function te(e) { return new this(e).asinh() } function re(e) { return new this(e).atan() } function ne(e) { return new this(e).atanh() } function ie(e, t) { e = new this(e), t = new this(t); var r, n = this.precision, i = this.rounding, a = n + 4; return e.s && t.s ? e.d || t.d ? !t.d || e.isZero() ? (r = t.s < 0 ? I(this, n, i) : new this(0)).s = e.s : !e.d || t.isZero() ? (r = I(this, a, 1).times(.5)).s = e.s : t.s < 0 ? 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[u, s] : [s] } else a = s.map((function (e) { return [e] })); return U(a, (function (t) { return e(r, n + 1, i.concat([t])) })) } return [i.map((function (e, t) { return { types: e, restParam: t === r.length - 1 && h(r) } }))] }(e, 0, []) } function T(e, n) { if (0 === Object.keys(n).length) throw new SyntaxError("No signatures provided"); var i = []; Object.keys(n).map((function (e) { return function (e, t, r) { var n = []; return "" !== e.trim() && (n = e.split(",").map(z).map((function (e, t, n) { var i = m(e, r); if (i.restParam && t !== n.length - 1) throw new SyntaxError('Unexpected rest parameter "' + e + '": only allowed for the last parameter'); return i }))), n.some(B) ? null : { params: n, fn: t } }(e, n[e], u.conversions) })).filter(I).forEach((function (e) { var t = P(i, (function (t) { return function (e, t) { for (var r = Math.max(e.params.length, t.params.length), n = 0; n < r; n++)if (!j(x(e, n, !0), x(t, n, !0))) return !1; var i = e.params.length, a = t.params.length, o = h(e.params), s = h(t.params); return o ? s ? i === a : a >= i : s ? i >= a : i === a }(t, e) })); if (t) throw new TypeError('Conflicting signatures "' + p(t.params) + '" and "' + p(e.params) + '".'); i.push(e) })); var a = U(i, (function (e) { return (e ? _(e.params, !1) : []).map((function (t) { return { params: t, fn: e.fn } })) })).filter(I); a.sort(O); var o = a[0] && a[0].params.length <= 2 && !h(a[0].params), s = a[1] && a[1].params.length <= 2 && !h(a[1].params), c = a[2] && a[2].params.length <= 2 && !h(a[2].params), f = a[3] && a[3].params.length <= 2 && !h(a[3].params), l = a[4] && a[4].params.length <= 2 && !h(a[4].params), v = a[5] && a[5].params.length <= 2 && !h(a[5].params), b = o && s && c && f && l && v, w = a.map((function (e) { return g(e.params) })), N = o ? y(a[0].params[0]) : t, S = s ? y(a[1].params[0]) : t, E = c ? y(a[2].params[0]) : t, A = f ? y(a[3].params[0]) : t, T = l ? y(a[4].params[0]) : t, q = v ? y(a[5].params[0]) : t, k = o ? y(a[0].params[1]) : t, D = s ? y(a[1].params[1]) : t, F = c ? y(a[2].params[1]) : t, L = f ? y(a[3].params[1]) : t, H = l ? y(a[4].params[1]) : t, $ = v ? y(a[5].params[1]) : t, G = a.map((function (e) { return function (e, t) { var r = t; if (e.some(d)) { var n = h(e), i = e.map(C); r = function () { for (var e = [], r = n ? arguments.length - 1 : arguments.length, a = 0; a < r; a++)e[a] = i[a](arguments[a]); return n && (e[r] = arguments[r].map(i[r])), t.apply(this, e) } } var a = r; if (h(e)) { var o = e.length - 1; a = function () { return r.apply(this, R(arguments, 0, o).concat([R(arguments, o)])) } } return a }(e.params, e.fn) })), V = o ? 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X.apply(e, arguments) : oe.apply(e, arguments) }; try { Object.defineProperty(se, "name", { value: e }) } catch (e) { } return se.signatures = function (e) { var t = {}; return e.forEach((function (e) { e.params.some(d) || _(e.params, !0).forEach((function (r) { t[p(r)] = e.fn })) })), t }(a), se } function q(e) { return -1 === u.ignore.indexOf(e) } function z(e) { return e.trim() } function k(e) { return !!e } function I(e) { return null !== e } function B(e) { return 0 === e.types.length } function D(e) { return e[e.length - 1] } function R(e, t, r) { return Array.prototype.slice.call(e, t, r) } function j(e, t) { for (var r = 0; r < e.length; r++)if (n = t, i = e[r], -1 !== n.indexOf(i)) return !0; var n, i; return !1 } function P(e, t) { for (var r = 0; r < e.length; r++)if (t(e[r])) return e[r] } function U(e, t) { return Array.prototype.concat.apply([], e.map(t)) } function F(e) { for (var t = "", r = 0; r < e.length; r++) { var n = e[r]; if (("object" == typeof n.signatures || "string" == typeof n.signature) && "" !== n.name) if ("" === t) t = n.name; else if (t !== n.name) { var i = new Error("Function names do not match (expected: " + t + ", actual: " + n.name + ")"); throw i.data = { actual: n.name, expected: t }, i } } return t } function L(e) { var t, r = {}; function n(e, n) { if (r.hasOwnProperty(e) && n !== r[e]) throw (t = new Error('Signature "' + e + '" is defined twice')).data = { signature: e }, t } for (var i = 0; i < e.length; i++) { var a = e[i]; if ("object" == typeof a.signatures) for (var o in a.signatures) a.signatures.hasOwnProperty(o) && (n(o, a.signatures[o]), r[o] = a.signatures[o]); else { if ("string" != typeof a.signature) throw (t = new TypeError("Function is no typed-function (index: " + i + ")")).data = { index: i }, t; n(a.signature, a), r[a.signature] = a } } return r } return (u = T("typed", { "string, Object": T, Object: function (e) { var t = []; for (var r in e) e.hasOwnProperty(r) && t.push(e[r]); return T(F(t), e) }, "...Function": function (e) { return T(F(e), L(e)) }, "string, ...Function": function (e, t) { return T(e, L(t)) } })).create = n, u.types = i, u.conversions = s, u.ignore = o, u.convert = function (e, t) { var r = l(e); if (t === r) return e; for (var n = 0; n < u.conversions.length; n++) { var i = u.conversions[n]; if (i.from === r && i.to === t) return i.convert(e) } throw new Error("Cannot convert from " + r + " to " + t) }, u.find = function (e, t) { if (!e.signatures) throw new TypeError("Function is no typed-function"); var r; if ("string" == typeof t) { r = t.split(","); for (var n = 0; n < r.length; n++)r[n] = r[n].trim() } else { if (!Array.isArray(t)) throw new TypeError("String array or a comma separated string expected"); r = t } var i = r.join(","), a = e.signatures[i]; if (a) return a; throw new TypeError("Signature not found (signature: " + (e.name || "unnamed") + "(" + r.join(", ") + "))") }, u.addType = function (e, t) { if (!e || "string" != typeof e.name || "function" != typeof e.test) throw new TypeError("Object with properties {name: string, test: function} expected"); if (!1 !== t) for (var r = 0; r < u.types.length; r++)if ("Object" === u.types[r].name) return void u.types.splice(r, 0, e); u.types.push(e) }, u.addConversion = function (e) { if (!e || "string" != typeof e.from || "string" != typeof e.to || "function" != typeof e.convert) throw new TypeError("Object with properties {from: string, to: string, convert: function} expected"); u.conversions.push(e) }, u }() }) ? n.apply(t, i) : n) || (e.exports = a) }, function (e, t, r) { var n = r(12), i = r(13), a = r(14), o = r(15), s = r(16), u = r(17), c = r(18); c.alea = n, c.xor128 = i, c.xorwow = a, c.xorshift7 = o, c.xor4096 = s, c.tychei = u, e.exports = c }, function (e, t) { function r() { } r.prototype = { on: function (e, t, r) { var n = this.e || (this.e = {}); return (n[e] || (n[e] = [])).push({ fn: t, ctx: r }), this }, once: function (e, t, r) { var n = this; function i() { n.off(e, i), t.apply(r, arguments) } return i._ = t, this.on(e, i, r) }, emit: function (e) { for (var t = [].slice.call(arguments, 1), r = ((this.e || (this.e = {}))[e] || []).slice(), n = 0, i = r.length; n < i; n++)r[n].fn.apply(r[n].ctx, t); return this }, off: function (e, t) { var r = this.e || (this.e = {}), n = r[e], i = []; if (n && t) for (var a = 0, o = n.length; a < o; a++)n[a].fn !== t && n[a].fn._ !== t && i.push(n[a]); return i.length ? r[e] = i : delete r[e], this } }, e.exports = r, e.exports.TinyEmitter = r }, function (e, t, r) { "use strict"; var n = Object.assign || function (e) { for (var t = 1; t < arguments.length; t++) { var r = arguments[t]; for (var n in r) Object.prototype.hasOwnProperty.call(r, n) && (e[n] = r[n]) } return e }, i = { "{": "\\{", "}": "\\}", "\\": "\\textbackslash{}", "#": "\\#", $: "\\$", "%": "\\%", "&": "\\&", "^": "\\textasciicircum{}", _: "\\_", "~": "\\textasciitilde{}" }, a = { "–": "\\--", "—": "\\---", " ": "~", "\t": "\\qquad{}", "\r\n": "\\newline{}", "\n": "\\newline{}" }, o = function (e, t) { return n({}, e, t) }; e.exports = function (e) { for (var t = arguments.length > 1 && void 0 !== arguments[1] ? arguments[1] : {}, r = t.preserveFormatting, s = void 0 !== r && r, u = t.escapeMapFn, c = void 0 === u ? o : u, f = String(e), l = "", p = c(n({}, i), s ? n({}, a) : {}), m = Object.keys(p), h = function () { var e = !1; m.forEach((function (t, r) { e || f.length >= t.length && f.slice(0, t.length) === t && (l += p[m[r]], f = f.slice(t.length, f.length), e = !0) })), e || (l += f.slice(0, 1), f = f.slice(1, f.length)) }; f;)h(); return l } }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t, r = this, n = (t = 4022871197, function (e) { e = String(e); for (var r = 0; r < e.length; r++) { var n = .02519603282416938 * (t += e.charCodeAt(r)); n -= t = n >>> 0, t = (n *= t) >>> 0, t += 4294967296 * (n -= t) } return 2.3283064365386963e-10 * (t >>> 0) }); r.next = function () { var e = 2091639 * r.s0 + 2.3283064365386963e-10 * r.c; return r.s0 = r.s1, r.s1 = r.s2, r.s2 = e - (r.c = 0 | e) }, r.c = 1, r.s0 = n(" "), r.s1 = n(" "), r.s2 = n(" "), r.s0 -= n(e), r.s0 < 0 && (r.s0 += 1), r.s1 -= n(e), r.s1 < 0 && (r.s1 += 1), r.s2 -= n(e), r.s2 < 0 && (r.s2 += 1), n = null } function s(e, t) { return t.c = e.c, t.s0 = e.s0, t.s1 = e.s1, t.s2 = e.s2, t } function u(e, t) { var r = new o(e), n = t && t.state, i = r.next; return i.int32 = function () { return 4294967296 * r.next() | 0 }, i.double = function () { return i() + 11102230246251565e-32 * (2097152 * i() | 0) }, i.quick = i, n && ("object" == typeof n && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.alea = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this, r = ""; t.x = 0, t.y = 0, t.z = 0, t.w = 0, t.next = function () { var e = t.x ^ t.x << 11; return t.x = t.y, t.y = t.z, t.z = t.w, t.w ^= t.w >>> 19 ^ e ^ e >>> 8 }, e === (0 | e) ? t.x = e : r += e; for (var n = 0; n < r.length + 64; n++)t.x ^= 0 | r.charCodeAt(n), t.next() } function s(e, t) { return t.x = e.x, t.y = e.y, t.z = e.z, t.w = e.w, t } function u(e, t) { var r = new o(e), n = t && t.state, i = function () { return (r.next() >>> 0) / 4294967296 }; return i.double = function () { do { var e = ((r.next() >>> 11) + (r.next() >>> 0) / 4294967296) / (1 << 21) } while (0 === e); return e }, i.int32 = r.next, i.quick = i, n && ("object" == typeof n && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.xor128 = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this, r = ""; t.next = function () { var e = t.x ^ t.x >>> 2; return t.x = t.y, t.y = t.z, t.z = t.w, t.w = t.v, (t.d = t.d + 362437 | 0) + (t.v = t.v ^ t.v << 4 ^ e ^ e << 1) | 0 }, t.x = 0, t.y = 0, t.z = 0, t.w = 0, t.v = 0, e === (0 | e) ? t.x = e : r += e; for (var n = 0; n < r.length + 64; n++)t.x ^= 0 | r.charCodeAt(n), n == r.length && (t.d = t.x << 10 ^ t.x >>> 4), t.next() } function s(e, t) { return t.x = e.x, t.y = e.y, t.z = e.z, t.w = e.w, t.v = e.v, t.d = e.d, t } function u(e, t) { var r = new o(e), n = t && t.state, i = function () { return (r.next() >>> 0) / 4294967296 }; return i.double = function () { do { var e = ((r.next() >>> 11) + (r.next() >>> 0) / 4294967296) / (1 << 21) } while (0 === e); return e }, i.int32 = r.next, i.quick = i, n && ("object" == typeof n && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.xorwow = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this; t.next = function () { var e, r, n = t.x, i = t.i; return e = n[i], r = (e ^= e >>> 7) ^ e << 24, r ^= (e = n[i + 1 & 7]) ^ e >>> 10, r ^= (e = n[i + 3 & 7]) ^ e >>> 3, r ^= (e = n[i + 4 & 7]) ^ e << 7, e = n[i + 7 & 7], r ^= (e ^= e << 13) ^ e << 9, n[i] = r, t.i = i + 1 & 7, r }, function (e, t) { var r, n = []; if (t === (0 | t)) n[0] = t; else for (t = "" + t, r = 0; r < t.length; ++r)n[7 & r] = n[7 & r] << 15 ^ t.charCodeAt(r) + n[r + 1 & 7] << 13; for (; n.length < 8;)n.push(0); for (r = 0; r < 8 && 0 === n[r]; ++r); for (8 == r ? n[7] = -1 : n[r], e.x = n, e.i = 0, r = 256; r > 0; --r)e.next() }(t, e) } function s(e, t) { return t.x = e.x.slice(), t.i = e.i, t } function u(e, t) { null == e && (e = +new Date); var r = new o(e), n = t && t.state, i = function () { return (r.next() >>> 0) / 4294967296 }; return i.double = function () { do { var e = ((r.next() >>> 11) + (r.next() >>> 0) / 4294967296) / (1 << 21) } while (0 === e); return e }, i.int32 = r.next, i.quick = i, n && (n.x && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.xorshift7 = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this; t.next = function () { var e, r, n = t.w, i = t.X, a = t.i; return t.w = n = n + 1640531527 | 0, r = i[a + 34 & 127], e = i[a = a + 1 & 127], r ^= r << 13, e ^= e << 17, r ^= r >>> 15, e ^= e >>> 12, r = i[a] = r ^ e, t.i = a, r + (n ^ n >>> 16) | 0 }, function (e, t) { var r, n, i, a, o, s = [], u = 128; for (t === (0 | t) ? (n = t, t = null) : (t += "\0", n = 0, u = Math.max(u, t.length)), i = 0, a = -32; a < u; ++a)t && (n ^= t.charCodeAt((a + 32) % t.length)), 0 === a && (o = n), n ^= n << 10, n ^= n >>> 15, n ^= n << 4, n ^= n >>> 13, a >= 0 && (o = o + 1640531527 | 0, i = 0 == (r = s[127 & a] ^= n + o) ? i + 1 : 0); for (i >= 128 && (s[127 & (t && t.length || 0)] = -1), i = 127, a = 512; a > 0; --a)n = s[i + 34 & 127], r = s[i = i + 1 & 127], n ^= n << 13, r ^= r << 17, n ^= n >>> 15, r ^= r >>> 12, s[i] = n ^ r; e.w = o, e.X = s, e.i = i }(t, e) } function s(e, t) { return t.i = e.i, t.w = e.w, t.X = e.X.slice(), t } function u(e, t) { null == e && (e = +new Date); var r = new o(e), n = t && t.state, i = function () { return (r.next() >>> 0) / 4294967296 }; return i.double = function () { do { var e = ((r.next() >>> 11) + (r.next() >>> 0) / 4294967296) / (1 << 21) } while (0 === e); return e }, i.int32 = r.next, i.quick = i, n && (n.X && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.xor4096 = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this, r = ""; t.next = function () { var e = t.b, r = t.c, n = t.d, i = t.a; return e = e << 25 ^ e >>> 7 ^ r, r = r - n | 0, n = n << 24 ^ n >>> 8 ^ i, i = i - e | 0, t.b = e = e << 20 ^ e >>> 12 ^ r, t.c = r = r - n | 0, t.d = n << 16 ^ r >>> 16 ^ i, t.a = i - e | 0 }, t.a = 0, t.b = 0, t.c = -1640531527, t.d = 1367130551, e === Math.floor(e) ? 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Use function bignumber(x) to convert to BigNumber."); return new t(e) } }, { from: "number", to: "Complex", convert: function (e) { return r || tt(e), new r(e, 0) } }, { from: "number", to: "string", convert: function (e) { return e + "" } }, { from: "BigNumber", to: "Complex", convert: function (e) { return r || tt(e), new r(e.toNumber(), 0) } }, { from: "Fraction", to: "BigNumber", convert: function (e) { throw new TypeError("Cannot implicitly convert a Fraction to BigNumber or vice versa. Use function bignumber(x) to convert to BigNumber or fraction(x) to convert to Fraction.") } }, { from: "Fraction", to: "Complex", convert: function (e) { return r || tt(e), new r(e.valueOf(), 0) } }, { from: "number", to: "Fraction", convert: function (e) { i || rt(e); var t = new i(e); if (t.valueOf() !== e) throw new TypeError("Cannot implicitly convert a number to a Fraction when there will be a loss of precision (value: " + e + "). Use function fraction(x) to convert to Fraction."); return t } }, { from: "string", to: "number", convert: function (e) { var t = Number(e); if (isNaN(t)) throw new Error('Cannot convert "' + e + '" to a number'); return t } }, { from: "string", to: "BigNumber", convert: function (e) { t || et(e); try { return new t(e) } catch (t) { throw new Error('Cannot convert "' + e + '" to BigNumber') } } }, { from: "string", to: "Fraction", convert: function (e) { i || rt(e); try { return new i(e) } catch (t) { throw new Error('Cannot convert "' + e + '" to Fraction') } } }, { from: "string", to: "Complex", convert: function (e) { r || tt(e); try { return new r(e) } catch (t) { throw new Error('Cannot convert "' + e + '" to Complex') } } }, { from: "boolean", to: "number", convert: function (e) { return +e } }, { from: "boolean", to: "BigNumber", convert: function (e) { return t || et(e), new t(+e) } }, { from: "boolean", to: "Fraction", convert: function (e) { return i || rt(e), new i(+e) } }, { from: "boolean", to: "string", convert: function (e) { return String(e) } }, { from: "Array", to: "Matrix", convert: function (e) { return n || function () { throw new Error("Cannot convert array into a Matrix: no class 'DenseMatrix' provided") }(), new n(e) } }, { from: "Matrix", to: "Array", convert: function (e) { return e.valueOf() } }], m })); function et(e) { throw new Error("Cannot convert value ".concat(e, " into a BigNumber: no class 'BigNumber' provided")) } function tt(e) { throw new Error("Cannot convert value ".concat(e, " into a Complex number: no class 'Complex' provided")) } function rt(e) { throw new Error("Cannot convert value ".concat(e, " into a Fraction, no class 'Fraction' provided.")) } var nt = Je("ResultSet", [], (function () { function e(t) { if (!(this instanceof e)) throw new SyntaxError("Constructor must be called with the new operator"); this.entries = t || [] } return e.prototype.type = "ResultSet", e.prototype.isResultSet = !0, e.prototype.valueOf = function () { return this.entries }, e.prototype.toString = function () { return "[" + this.entries.join(", ") + "]" }, e.prototype.toJSON = function () { return { mathjs: "ResultSet", entries: this.entries } }, e.fromJSON = function (t) { return new e(t.entries) }, e }), { isClass: !0 }), it = r(7), at = r.n(it), ot = Je("BigNumber", ["?on", "config"], (function (e) { var t = e.on, r = e.config, n = at.a.clone({ precision: r.precision, modulo: 9 }); return n.prototype.type = "BigNumber", n.prototype.isBigNumber = !0, n.prototype.toJSON = function () { return { mathjs: "BigNumber", value: this.toString() } }, n.fromJSON = function (e) { return new n(e.value) }, t && t("config", (function (e, t) { e.precision !== t.precision && n.config({ precision: e.precision }) })), n }), { isClass: !0 }), st = r(1), ut = r.n(st); function ct(e) { return (ct = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var ft = Je("Complex", [], (function () { return ut.a.prototype.type = "Complex", ut.a.prototype.isComplex = !0, ut.a.prototype.toJSON = function () { return { mathjs: "Complex", re: this.re, im: this.im } }, ut.a.prototype.toPolar = function () { return { r: this.abs(), phi: this.arg() } }, ut.a.prototype.format = function (e) { var t = this.im, r = this.re, n = K(this.re, e), i = K(this.im, e), o = a(e) ? e : e ? e.precision : null; if (null !== o) { var s = Math.pow(10, -o); Math.abs(r / t) < s && (r = 0), Math.abs(t / r) < s && (t = 0) } return 0 === t ? n : 0 === r ? 1 === t ? "i" : -1 === t ? "-i" : i + "i" : t < 0 ? -1 === t ? n + " - i" : n + " - " + i.substring(1) + "i" : 1 === t ? n + " + i" : n + " + " + i + "i" }, ut.a.fromPolar = function (e) { switch (arguments.length) { case 1: var t = arguments[0]; if ("object" === ct(t)) return ut()(t); throw new TypeError("Input has to be an object with r and phi keys."); case 2: var r = arguments[0], n = arguments[1]; if (a(r)) { if (c(n) && n.hasBase("ANGLE") && (n = n.toNumber("rad")), a(n)) return new ut.a({ r: r, phi: n }); throw new TypeError("Phi is not a number nor an angle unit.") } throw new TypeError("Radius r is not a number."); default: throw new SyntaxError("Wrong number of arguments in function fromPolar") } }, ut.a.prototype.valueOf = ut.a.prototype.toString, ut.a.fromJSON = function (e) { return new ut.a(e) }, ut.a.compare = function (e, t) { return e.re > t.re ? 1 : e.re < t.re ? -1 : e.im > t.im ? 1 : e.im < t.im ? -1 : 0 }, ut.a }), { isClass: !0 }), lt = r(3), pt = r.n(lt), mt = Je("Fraction", [], (function () { return pt.a.prototype.type = "Fraction", pt.a.prototype.isFraction = !0, pt.a.prototype.toJSON = function () { return { mathjs: "Fraction", n: this.s * this.n, d: this.d } }, pt.a.fromJSON = function (e) { return new pt.a(e) }, pt.a }), { isClass: !0 }), ht = Je("Range", [], (function () { function e(t, r, n) { if (!(this instanceof e)) throw new SyntaxError("Constructor must be called with the new operator"); var i = null != t, a = null != r, s = null != n; if (i) if (o(t)) t = t.toNumber(); else if ("number" != typeof t) throw new TypeError("Parameter start must be a number"); if (a) if (o(r)) r = r.toNumber(); else if ("number" != typeof r) throw new TypeError("Parameter end must be a number"); if (s) if (o(n)) n = n.toNumber(); else if ("number" != typeof n) throw new TypeError("Parameter step must be a number"); this.start = i ? parseFloat(t) : 0, this.end = a ? parseFloat(r) : 0, this.step = s ? parseFloat(n) : 1 } return e.prototype.type = "Range", e.prototype.isRange = !0, e.parse = function (t) { if ("string" != typeof t) return null; var r = t.split(":").map((function (e) { return parseFloat(e) })); if (r.some((function (e) { return isNaN(e) }))) return null; switch (r.length) { case 2: return new e(r[0], r[1]); case 3: return new e(r[0], r[2], r[1]); default: return null } }, e.prototype.clone = function () { return new e(this.start, this.end, this.step) }, e.prototype.size = function () { var e = 0, t = this.start, r = this.step, n = this.end - t; return Z(r) === Z(n) ? e = Math.ceil(n / r) : 0 === n && (e = 0), isNaN(e) && (e = 0), [e] }, e.prototype.min = function () { var e = this.size()[0]; return e > 0 ? this.step > 0 ? this.start : this.start + (e - 1) * this.step : void 0 }, e.prototype.max = function () { var e = this.size()[0]; return e > 0 ? this.step > 0 ? this.start + (e - 1) * this.step : this.start : void 0 }, e.prototype.forEach = function (e) { var t = this.start, r = this.step, n = this.end, i = 0; if (r > 0) for (; t < n;)e(t, [i], this), t += r, i++; else if (r < 0) for (; t > n;)e(t, [i], this), t += r, i++ }, e.prototype.map = function (e) { var t = []; return this.forEach((function (r, n, i) { t[n[0]] = e(r, n, i) })), t }, e.prototype.toArray = function () { var e = []; return this.forEach((function (t, r) { e[r[0]] = t })), e }, e.prototype.valueOf = function () { return this.toArray() }, e.prototype.format = function (e) { var t = K(this.start, e); return 1 !== this.step && (t += ":" + K(this.step, e)), t += ":" + K(this.end, e) }, e.prototype.toString = function () { return this.format() }, e.prototype.toJSON = function () { return { mathjs: "Range", start: this.start, end: this.end, step: this.step } }, e.fromJSON = function (t) { return new e(t.start, t.end, t.step) }, e }), { isClass: !0 }), dt = Je("Matrix", [], (function () { function e() { if (!(this instanceof e)) throw new SyntaxError("Constructor must be called with the new operator") } return e.prototype.type = "Matrix", e.prototype.isMatrix = !0, e.prototype.storage = function () { throw new Error("Cannot invoke storage on a Matrix interface") }, e.prototype.datatype = function () { throw new Error("Cannot invoke datatype on a Matrix interface") }, e.prototype.create = function (e, t) { throw new Error("Cannot invoke create on a Matrix interface") }, e.prototype.subset = function (e, t, r) { throw new Error("Cannot invoke subset on a Matrix interface") }, e.prototype.get = function (e) { throw new Error("Cannot invoke get on a Matrix interface") }, e.prototype.set = function (e, t, r) { throw new Error("Cannot invoke set on a Matrix interface") }, e.prototype.resize = function (e, t) { throw new Error("Cannot invoke resize on a Matrix interface") }, e.prototype.reshape = function (e, t) { throw new Error("Cannot invoke reshape on a Matrix interface") }, e.prototype.clone = function () { throw new Error("Cannot invoke clone on a Matrix interface") }, e.prototype.size = function () { throw new Error("Cannot invoke size on a Matrix interface") }, e.prototype.map = function (e, t) { throw new Error("Cannot invoke map on a Matrix interface") }, e.prototype.forEach = function (e) { throw new Error("Cannot invoke forEach on a Matrix interface") }, e.prototype.toArray = function () { throw new Error("Cannot invoke toArray on a Matrix interface") }, e.prototype.valueOf = function () { throw new Error("Cannot invoke valueOf on a Matrix interface") }, e.prototype.format = function (e) { throw new Error("Cannot invoke format on a Matrix interface") }, e.prototype.toString = function () { throw new Error("Cannot invoke toString on a Matrix interface") }, e }), { isClass: !0 }), yt = Je("DenseMatrix", ["Matrix"], (function (e) { var t = e.Matrix; function r(e, t) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (t && !f(t)) throw new Error("Invalid datatype: " + t); if (p(e)) "DenseMatrix" === e.type ? (this._data = Fe(e._data), this._size = Fe(e._size), this._datatype = t || e._datatype) : (this._data = e.toArray(), this._size = e.size(), this._datatype = t || e._datatype); else if (e && l(e.data) && l(e.size)) this._data = e.data, this._size = e.size, Se(this._data, this._size), this._datatype = t || e.datatype; else if (l(e)) this._data = function e(t) { for (var r = 0, n = t.length; r < n; r++) { var i = t[r]; l(i) ? t[r] = e(i) : i && !0 === i.isMatrix && (t[r] = e(i.valueOf())) } return t }(e), this._size = Me(this._data), Se(this._data, this._size), this._datatype = t; else { if (e) throw new TypeError("Unsupported type of data (" + H(e) + ")"); this._data = [], this._size = [0], this._datatype = t } } function n(e, t) { if (!g(t)) throw new TypeError("Invalid index"); if (t.isScalar()) return e.get(t.min()); var n = t.size(); if (n.length !== e._size.length) throw new we(n.length, e._size.length); for (var i = t.min(), a = t.max(), o = 0, s = e._size.length; o < s; o++)Ee(i[o], e._size[o]), Ee(a[o], e._size[o]); return new r(function e(t, r, n, i) { var a = i === n - 1, o = r.dimension(i); return a ? o.map((function (e) { return Ee(e, t.length), t[e] })).valueOf() : o.map((function (a) { Ee(a, t.length); var o = t[a]; return e(o, r, n, i + 1) })).valueOf() }(e._data, t, n.length, 0), e._datatype) } function i(e, t, r, n) { if (!t || !0 !== t.isIndex) throw new TypeError("Invalid index"); var i, a = t.size(), o = t.isScalar(); if (p(r) ? (i = r.size(), r = r.valueOf()) : i = Me(r), o) { if (0 !== i.length) throw new TypeError("Scalar expected"); e.set(t.min(), r, n) } else { if (a.length < e._size.length) throw new we(a.length, e._size.length, "<"); if (i.length < a.length) { for (var s = 0, c = 0; 1 === a[s] && 1 === i[s];)s++; for (; 1 === a[s];)c++, s++; r = _e(r, a.length, c, i) } if (!$e(a, i)) throw new we(a, i, ">"); u(e, t.max().map((function (e) { return e + 1 })), n); var f = a.length; !function e(t, r, n, i, a) { var o = a === i - 1, s = r.dimension(a); o ? s.forEach((function (e, r) { Ee(e), t[e] = n[r[0]] })) : s.forEach((function (o, s) { Ee(o), e(t[o], r, n[s[0]], i, a + 1) })) }(e._data, t, r, f, 0) } return e } function s(e, t, r) { if (0 === t.length) { for (var n = e._data; l(n);)n = n[0]; return n } return e._size = t.slice(0), e._data = Ae(e._data, e._size, r), e } function u(e, t, r) { for (var n = e._size.slice(0), i = !1; n.length < t.length;)n.push(0), i = !0; for (var a = 0, o = t.length; a < o; a++)t[a] > n[a] && (n[a] = t[a], i = !0); i && s(e, n, r) } return r.prototype = new t, r.prototype.createDenseMatrix = function (e, t) { return new r(e, t) }, r.prototype.type = "DenseMatrix", r.prototype.isDenseMatrix = !0, r.prototype.getDataType = function () { return je(this._data, H) }, r.prototype.storage = function () { return "dense" }, r.prototype.datatype = function () { return this._datatype }, r.prototype.create = function (e, t) { return new r(e, t) }, r.prototype.subset = function (e, t, r) { switch (arguments.length) { case 1: return n(this, e); case 2: case 3: return i(this, e, t, r); default: throw new SyntaxError("Wrong number of arguments") } }, r.prototype.get = function (e) { if (!l(e)) throw new TypeError("Array expected"); if (e.length !== this._size.length) throw new we(e.length, this._size.length); for (var t = 0; t < e.length; t++)Ee(e[t], this._size[t]); for (var r = this._data, n = 0, i = e.length; n < i; n++) { var a = e[n]; Ee(a, r.length), r = r[a] } return r }, r.prototype.set = function (e, t, r) { if (!l(e)) throw new TypeError("Array expected"); if (e.length < this._size.length) throw new we(e.length, this._size.length, "<"); var n, i, a; u(this, e.map((function (e) { return e + 1 })), r); var o = this._data; for (n = 0, i = e.length - 1; n < i; n++)Ee(a = e[n], o.length), o = o[a]; return Ee(a = e[e.length - 1], o.length), o[a] = t, this }, r.prototype.resize = function (e, t, r) { if (!m(e)) throw new TypeError("Array or Matrix expected"); var n = e.valueOf().map((function (e) { return Array.isArray(e) && 1 === e.length ? e[0] : e })); return s(r ? this.clone() : this, n, t) }, r.prototype.reshape = function (e, t) { var r = t ? this.clone() : this; return r._data = Oe(r._data, e), r._size = e.slice(0), r }, r.prototype.clone = function () { return new r({ data: Fe(this._data), size: Fe(this._size), datatype: this._datatype }) }, r.prototype.size = function () { return this._size.slice(0) }, r.prototype.map = function (e) { var t = this, n = function r(n, i) { return l(n) ? n.map((function (e, t) { return r(e, i.concat(t)) })) : e(n, i, t) }(this._data, []); return new r(n, void 0 !== this._datatype ? je(n, H) : void 0) }, r.prototype.forEach = function (e) { var t = this; !function r(n, i) { l(n) ? n.forEach((function (e, t) { r(e, i.concat(t)) })) : e(n, i, t) }(this._data, []) }, r.prototype.toArray = function () { return Fe(this._data) }, r.prototype.valueOf = function () { return this._data }, r.prototype.format = function (e) { return ge(this._data, e) }, r.prototype.toString = function () { return ge(this._data) }, r.prototype.toJSON = function () { return { mathjs: "DenseMatrix", data: this._data, size: this._size, datatype: this._datatype } }, r.prototype.diagonal = function (e) { if (e) { if (o(e) && (e = e.toNumber()), !a(e) || !V(e)) throw new TypeError("The parameter k must be an integer number") } else e = 0; for (var t = e > 0 ? e : 0, n = e < 0 ? -e : 0, i = this._size[0], s = this._size[1], u = Math.min(i - n, s - t), c = [], f = 0; f < u; f++)c[f] = this._data[f + n][f + t]; return new r({ data: c, size: [u], datatype: this._datatype }) }, r.diagonal = function (e, t, n, i) { if (!l(e)) throw new TypeError("Array expected, size parameter"); if (2 !== e.length) throw new Error("Only two dimensions matrix are supported"); if (e = e.map((function (e) { if (o(e) && (e = e.toNumber()), !a(e) || !V(e) || e < 1) throw new Error("Size values must be positive integers"); return e })), n) { if (o(n) && (n = n.toNumber()), !a(n) || !V(n)) throw new TypeError("The parameter k must be an integer number") } else n = 0; var s, u = n > 0 ? n : 0, c = n < 0 ? -n : 0, f = e[0], m = e[1], h = Math.min(f - c, m - u); if (l(t)) { if (t.length !== h) throw new Error("Invalid value array length"); s = function (e) { return t[e] } } else if (p(t)) { var d = t.size(); if (1 !== d.length || d[0] !== h) throw new Error("Invalid matrix length"); s = function (e) { return t.get([e]) } } else s = function () { return t }; i || (i = o(s(0)) ? s(0).mul(0) : 0); var y = []; if (e.length > 0) { y = Ae(y, e, i); for (var g = 0; g < h; g++)y[g + c][g + u] = s(g) } return new r({ data: y, size: [f, m] }) }, r.fromJSON = function (e) { return new r(e) }, r.prototype.swapRows = function (e, t) { if (!(a(e) && V(e) && a(t) && V(t))) throw new Error("Row index must be positive integers"); if (2 !== this._size.length) throw new Error("Only two dimensional matrix is supported"); return Ee(e, this._size[0]), Ee(t, this._size[0]), r._swapRows(e, t, this._data), this }, r._swapRows = function (e, t, r) { var n = r[e]; r[e] = r[t], r[t] = n }, r }), { isClass: !0 }), gt = Je("clone", ["typed"], (function (e) { return (0, e.typed)("clone", { any: Fe }) })); function vt(e) { for (var t = 0; t < e.length; t++)if (m(e[t])) return !0; return !1 } function xt(e, t) { p(e) && (e = e.valueOf()); for (var r = 0, n = e.length; r < n; r++) { var i = e[r]; Array.isArray(i) ? xt(i, t) : t(i) } } function bt(e, t, r) { return e && "function" == typeof e.map ? e.map((function (e) { return bt(e, t, r) })) : t(e) } function wt(e, t, r) { var n = Array.isArray(e) ? Me(e) : e.size(); if (t < 0 || t >= n.length) throw new Ne(t, n.length); return p(e) ? e.create(Nt(e.valueOf(), t, r)) : Nt(e, t, r) } function Nt(e, t, r) { var n, i, a, o; if (t <= 0) { if (Array.isArray(e[0])) { for (o = function (e) { var t, r, n = e.length, i = e[0].length, a = []; for (r = 0; r < i; r++) { var o = []; for (t = 0; t < n; t++)o.push(e[t][r]); a.push(o) } return a }(e), i = [], n = 0; n < o.length; n++)i[n] = Nt(o[n], t - 1, r); return i } for (a = e[0], n = 1; n < e.length; n++)a = r(a, e[n]); return a } for (i = [], n = 0; n < e.length; n++)i[n] = Nt(e[n], t - 1, r); return i } function Mt(e, t, r, n, i, a, o, s, u, c, f) { var l, p, m, h, d = e._values, y = e._index, g = e._ptr; if (n) for (p = g[t], m = g[t + 1], l = p; l < m; l++)r[h = y[l]] !== a ? (r[h] = a, o.push(h), c ? (n[h] = u ? s(d[l], f) : s(f, d[l]), i[h] = a) : n[h] = d[l]) : (n[h] = u ? s(d[l], n[h]) : s(n[h], d[l]), i[h] = a); else for (p = g[t], m = g[t + 1], l = p; l < m; l++)r[h = y[l]] !== a ? (r[h] = a, o.push(h)) : i[h] = a } var St = Je("isInteger", ["typed"], (function (e) { return (0, e.typed)("isInteger", { number: V, BigNumber: function (e) { return e.isInt() }, Fraction: function (e) { return 1 === e.d && isFinite(e.n) }, "Array | Matrix": function (e) { return bt(e, this) } }) })); function Et(e) { return e < 0 } function At(e) { return e > 0 } function Ot(e) { return 0 === e } function Ct(e) { return Number.isNaN(e) } Et.signature = "number", At.signature = "number", Ot.signature = "number", Ct.signature = "number"; var _t = Je("isNegative", ["typed"], (function (e) { return (0, e.typed)("isNegative", { number: Et, BigNumber: function (e) { return e.isNeg() && !e.isZero() && !e.isNaN() }, Fraction: function (e) { return e.s < 0 }, Unit: function (e) { return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Tt = Je("isNumeric", ["typed"], (function (e) { return (0, e.typed)("isNumeric", { "number | BigNumber | Fraction | boolean": function () { return !0 }, "Complex | Unit | string | null | undefined | Node": function () { return !1 }, "Array | Matrix": function (e) { return bt(e, this) } }) })), qt = Je("hasNumericValue", ["typed", "isNumeric"], (function (e) { var t = e.typed, r = e.isNumeric; return t("hasNumericValue", { string: function (e) { return e.trim().length > 0 && !isNaN(Number(e)) }, any: function (e) { return r(e) } }) })), zt = Je("isPositive", ["typed"], (function (e) { return (0, e.typed)("isPositive", { number: At, BigNumber: function (e) { return !e.isNeg() && !e.isZero() && !e.isNaN() }, Fraction: function (e) { return e.s > 0 && e.n > 0 }, Unit: function (e) { return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), kt = Je("isZero", ["typed"], (function (e) { return (0, e.typed)("isZero", { number: Ot, BigNumber: function (e) { return e.isZero() }, Complex: function (e) { return 0 === e.re && 0 === e.im }, Fraction: function (e) { return 1 === e.d && 0 === e.n }, Unit: function (e) { return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), It = Je("isNaN", ["typed"], (function (e) { return (0, e.typed)("isNaN", { number: Ct, BigNumber: function (e) { return e.isNaN() }, Fraction: function (e) { return !1 }, Complex: function (e) { return e.isNaN() }, Unit: function (e) { return Number.isNaN(e.value) }, "Array | Matrix": function (e) { return bt(e, Number.isNaN) } }) })), Bt = Je("typeOf", ["typed"], (function (e) { return (0, e.typed)("typeOf", { any: H }) })); function Dt(e, t, r) { if (null == r) return e.eq(t); if (e.eq(t)) return !0; if (e.isNaN() || t.isNaN()) return !1; if (e.isFinite() && t.isFinite()) { var n = e.minus(t).abs(); if (n.isZero()) return !0; var i = e.constructor.max(e.abs(), t.abs()); return n.lte(i.times(r)) } return !1 } var Rt = Je("equalScalar", ["typed", "config"], (function (e) { var t = e.typed, r = e.config; return t("equalScalar", { "boolean, boolean": function (e, t) { return e === t }, "number, number": function (e, t) { return oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.eq(t) || Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return e.equals(t) }, "Complex, Complex": function (e, t) { return function (e, t, r) { return oe(e.re, t.re, r) && oe(e.im, t.im, r) }(e, t, r.epsilon) }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) } }) })), jt = (Je("equalScalar", ["typed", "config"], (function (e) { var t = e.typed, r = e.config; return t("equalScalar", { "number, number": function (e, t) { return oe(e, t, r.epsilon) } }) })), Je("SparseMatrix", ["typed", "equalScalar", "Matrix"], (function (e) { var t = e.typed, r = e.equalScalar, n = e.Matrix; function i(e, t) { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); if (t && !f(t)) throw new Error("Invalid datatype: " + t); if (p(e)) !function (e, t, r) { "SparseMatrix" === t.type ? (e._values = t._values ? Fe(t._values) : void 0, e._index = Fe(t._index), e._ptr = Fe(t._ptr), e._size = Fe(t._size), e._datatype = r || t._datatype) : s(e, t.valueOf(), r || t._datatype) }(this, e, t); else if (e && l(e.index) && l(e.ptr) && l(e.size)) this._values = e.values, this._index = e.index, this._ptr = e.ptr, this._size = e.size, this._datatype = t || e.datatype; else if (l(e)) s(this, e, t); else { if (e) throw new TypeError("Unsupported type of data (" + H(e) + ")"); this._values = [], this._index = [], this._ptr = [0], this._size = [0, 0], this._datatype = t } } function s(e, n, i) { e._values = [], e._index = [], e._ptr = [], e._datatype = i; var a = n.length, o = 0, s = r, u = 0; if (f(i) && (s = t.find(r, [i, i]) || r, u = t.convert(0, i)), a > 0) { var c = 0; do { e._ptr.push(e._index.length); for (var p = 0; p < a; p++) { var m = n[p]; if (l(m)) { if (0 === c && o < m.length && (o = m.length), c < m.length) { var h = m[c]; s(h, u) || (e._values.push(h), e._index.push(p)) } } else 0 === c && o < 1 && (o = 1), s(m, u) || (e._values.push(m), e._index.push(p)) } c++ } while (c < o) } e._ptr.push(e._index.length), e._size = [a, o] } function u(e, t) { if (!g(t)) throw new TypeError("Invalid index"); if (t.isScalar()) return e.get(t.min()); var r, n, a, o, s = t.size(); if (s.length !== e._size.length) throw new we(s.length, e._size.length); var u = t.min(), c = t.max(); for (r = 0, n = e._size.length; r < n; r++)Ee(u[r], e._size[r]), Ee(c[r], e._size[r]); var f = e._values, l = e._index, p = e._ptr, m = t.dimension(0), h = t.dimension(1), d = [], y = []; m.forEach((function (e, t) { y[e] = t[0], d[e] = !0 })); var v = f ? [] : void 0, x = [], b = []; return h.forEach((function (e) { for (b.push(x.length), a = p[e], o = p[e + 1]; a < o; a++)r = l[a], !0 === d[r] && (x.push(y[r]), v && v.push(f[a])) })), b.push(x.length), new i({ values: v, index: x, ptr: b, size: s, datatype: e._datatype }) } function c(e, t, r, n) { if (!t || !0 !== t.isIndex) throw new TypeError("Invalid index"); var i, a = t.size(), o = t.isScalar(); if (p(r) ? (i = r.size(), r = r.toArray()) : i = Me(r), o) { if (0 !== i.length) throw new TypeError("Scalar expected"); e.set(t.min(), r, n) } else { if (1 !== a.length && 2 !== a.length) throw new we(a.length, e._size.length, "<"); if (i.length < a.length) { for (var s = 0, u = 0; 1 === a[s] && 1 === i[s];)s++; for (; 1 === a[s];)u++, s++; r = _e(r, a.length, u, i) } if (!$e(a, i)) throw new we(a, i, ">"); for (var c = t.min()[0], f = t.min()[1], l = i[0], m = i[1], h = 0; h < l; h++)for (var d = 0; d < m; d++) { var y = r[h][d]; e.set([h + c, d + f], y, n) } } return e } function h(e, t, r, n) { if (r - t == 0) return r; for (var i = t; i < r; i++)if (n[i] === e) return i; return t } function d(e, t, r, n, i, a, o) { i.splice(e, 0, n), a.splice(e, 0, t); for (var s = r + 1; s < o.length; s++)o[s]++ } function y(e, n, i, a) { var o = a || 0, s = r, u = 0; f(e._datatype) && (s = t.find(r, [e._datatype, e._datatype]) || r, u = t.convert(0, e._datatype), o = t.convert(o, e._datatype)); var c, l, p, m = !s(o, u), h = e._size[0], d = e._size[1]; if (i > d) { for (l = d; l < i; l++)if (e._ptr[l] = e._values.length, m) for (c = 0; c < h; c++)e._values.push(o), e._index.push(c); e._ptr[i] = e._values.length } else i < d && (e._ptr.splice(i + 1, d - i), e._values.splice(e._ptr[i], e._values.length), e._index.splice(e._ptr[i], e._index.length)); if (d = i, n > h) { if (m) { var y = 0; for (l = 0; l < d; l++) { e._ptr[l] = e._ptr[l] + y, p = e._ptr[l + 1] + y; var g = 0; for (c = h; c < n; c++, g++)e._values.splice(p + g, 0, o), e._index.splice(p + g, 0, c), y++ } e._ptr[d] = e._values.length } } else if (n < h) { var v = 0; for (l = 0; l < d; l++) { e._ptr[l] = e._ptr[l] - v; var x = e._ptr[l], b = e._ptr[l + 1] - v; for (p = x; p < b; p++)(c = e._index[p]) > n - 1 && (e._values.splice(p, 1), e._index.splice(p, 1), v++) } e._ptr[l] = e._values.length } return e._size[0] = n, e._size[1] = i, e } function v(e, t, r, n, i) { var a, o, s = n[0], u = n[1], c = []; for (a = 0; a < s; a++)for (c[a] = [], o = 0; o < u; o++)c[a][o] = 0; for (o = 0; o < u; o++)for (var f = r[o], l = r[o + 1], p = f; p < l; p++)c[a = t[p]][o] = e ? i ? Fe(e[p]) : e[p] : 1; return c } return i.prototype = new n, i.prototype.createSparseMatrix = function (e, t) { return new i(e, t) }, i.prototype.type = "SparseMatrix", i.prototype.isSparseMatrix = !0, i.prototype.getDataType = function () { return je(this._values, H) }, i.prototype.storage = function () { return "sparse" }, i.prototype.datatype = function () { return this._datatype }, i.prototype.create = function (e, t) { return new i(e, t) }, i.prototype.density = function () { var e = this._size[0], t = this._size[1]; return 0 !== e && 0 !== t ? this._index.length / (e * t) : 0 }, i.prototype.subset = function (e, t, r) { if (!this._values) throw new Error("Cannot invoke subset on a Pattern only matrix"); switch (arguments.length) { case 1: return u(this, e); case 2: case 3: return c(this, e, t, r); default: throw new SyntaxError("Wrong number of arguments") } }, i.prototype.get = function (e) { if (!l(e)) throw new TypeError("Array expected"); if (e.length !== this._size.length) throw new we(e.length, this._size.length); if (!this._values) throw new Error("Cannot invoke get on a Pattern only matrix"); var t = e[0], r = e[1]; Ee(t, this._size[0]), Ee(r, this._size[1]); var n = h(t, this._ptr[r], this._ptr[r + 1], this._index); return n < this._ptr[r + 1] && this._index[n] === t ? this._values[n] : 0 }, i.prototype.set = function (e, n, i) { if (!l(e)) throw new TypeError("Array expected"); if (e.length !== this._size.length) throw new we(e.length, this._size.length); if (!this._values) throw new Error("Cannot invoke set on a Pattern only matrix"); var a = e[0], o = e[1], s = this._size[0], u = this._size[1], c = r, p = 0; f(this._datatype) && (c = t.find(r, [this._datatype, this._datatype]) || r, p = t.convert(0, this._datatype)), (a > s - 1 || o > u - 1) && (y(this, Math.max(a + 1, s), Math.max(o + 1, u), i), s = this._size[0], u = this._size[1]), Ee(a, s), Ee(o, u); var m = h(a, this._ptr[o], this._ptr[o + 1], this._index); return m < this._ptr[o + 1] && this._index[m] === a ? c(n, p) ? function (e, t, r, n, i) { r.splice(e, 1), n.splice(e, 1); for (var a = t + 1; a < i.length; a++)i[a]-- }(m, o, this._values, this._index, this._ptr) : this._values[m] = n : d(m, a, o, n, this._values, this._index, this._ptr), this }, i.prototype.resize = function (e, t, r) { if (!m(e)) throw new TypeError("Array or Matrix expected"); var n = e.valueOf().map((function (e) { return Array.isArray(e) && 1 === e.length ? e[0] : e })); if (2 !== n.length) throw new Error("Only two dimensions matrix are supported"); return n.forEach((function (e) { if (!a(e) || !V(e) || e < 0) throw new TypeError("Invalid size, must contain positive integers (size: " + ge(n) + ")") })), y(r ? this.clone() : this, n[0], n[1], t) }, i.prototype.reshape = function (e, t) { if (!l(e)) throw new TypeError("Array expected"); if (2 !== e.length) throw new Error("Sparse matrices can only be reshaped in two dimensions"); if (e.forEach((function (t) { if (!a(t) || !V(t) || t < 0) throw new TypeError("Invalid size, must contain positive integers (size: " + ge(e) + ")") })), this._size[0] * this._size[1] != e[0] * e[1]) throw new Error("Reshaping sparse matrix will result in the wrong number of elements"); var r = t ? this.clone() : this; if (this._size[0] === e[0] && this._size[1] === e[1]) return r; for (var n = [], i = 0; i < r._ptr.length; i++)for (var o = 0; o < r._ptr[i + 1] - r._ptr[i]; o++)n.push(i); for (var s = r._values.slice(), u = r._index.slice(), c = 0; c < r._index.length; c++) { var f = u[c], p = n[c], m = f * r._size[1] + p; n[c] = m % e[1], u[c] = Math.floor(m / e[1]) } r._values.length = 0, r._index.length = 0, r._ptr.length = e[1] + 1, r._size = e.slice(); for (var y = 0; y < r._ptr.length; y++)r._ptr[y] = 0; for (var g = 0; g < s.length; g++) { var v = u[g], x = n[g], b = s[g]; d(h(v, r._ptr[x], r._ptr[x + 1], r._index), v, x, b, r._values, r._index, r._ptr) } return r }, i.prototype.clone = function () { return new i({ values: this._values ? Fe(this._values) : void 0, index: Fe(this._index), ptr: Fe(this._ptr), size: Fe(this._size), datatype: this._datatype }) }, i.prototype.size = function () { return this._size.slice(0) }, i.prototype.map = function (e, n) { if (!this._values) throw new Error("Cannot invoke map on a Pattern only matrix"); var a = this; return function (e, n, a, o, s, u, c) { var l = [], p = [], m = [], h = r, d = 0; f(e._datatype) && (h = t.find(r, [e._datatype, e._datatype]) || r, d = t.convert(0, e._datatype)); for (var y = function (e, t, r) { e = u(e, t, r), h(e, d) || (l.push(e), p.push(t)) }, g = o; g <= s; g++) { m.push(l.length); var v = e._ptr[g], x = e._ptr[g + 1]; if (c) for (var b = v; b < x; b++) { var w = e._index[b]; w >= n && w <= a && y(e._values[b], w - n, g - o) } else { for (var N = {}, M = v; M < x; M++) { var S = e._index[M]; N[S] = e._values[M] } for (var E = n; E <= a; E++) { var A = E in N ? N[E] : 0; y(A, E - n, g - o) } } } return m.push(l.length), new i({ values: l, index: p, ptr: m, size: [a - n + 1, s - o + 1] }) }(this, 0, this._size[0] - 1, 0, this._size[1] - 1, (function (t, r, n) { return e(t, [r, n], a) }), n) }, i.prototype.forEach = function (e, t) { if (!this._values) throw new Error("Cannot invoke forEach on a Pattern only matrix"); for (var r = this._size[0], n = this._size[1], i = 0; i < n; i++) { var a = this._ptr[i], o = this._ptr[i + 1]; if (t) for (var s = a; s < o; s++) { var u = this._index[s]; e(this._values[s], [u, i], this) } else { for (var c = {}, f = a; f < o; f++) { c[this._index[f]] = this._values[f] } for (var l = 0; l < r; l++) { e(l in c ? c[l] : 0, [l, i], this) } } } }, i.prototype.toArray = function () { return v(this._values, this._index, this._ptr, this._size, !0) }, i.prototype.valueOf = function () { return v(this._values, this._index, this._ptr, this._size, !1) }, i.prototype.format = function (e) { for (var t = this._size[0], r = this._size[1], n = this.density(), i = "Sparse Matrix [" + ge(t, e) + " x " + ge(r, e) + "] density: " + ge(n, e) + "\n", a = 0; a < r; a++)for (var o = this._ptr[a], s = this._ptr[a + 1], u = o; u < s; u++) { i += "\n (" + ge(this._index[u], e) + ", " + ge(a, e) + ") ==> " + (this._values ? ge(this._values[u], e) : "X") } return i }, i.prototype.toString = function () { return ge(this.toArray()) }, i.prototype.toJSON = function () { return { mathjs: "SparseMatrix", values: this._values, index: this._index, ptr: this._ptr, size: this._size, datatype: this._datatype } }, i.prototype.diagonal = function (e) { if (e) { if (o(e) && (e = e.toNumber()), !a(e) || !V(e)) throw new TypeError("The parameter k must be an integer number") } else e = 0; var t = e > 0 ? e : 0, r = e < 0 ? -e : 0, n = this._size[0], s = this._size[1], u = Math.min(n - r, s - t), c = [], f = [], l = []; l[0] = 0; for (var p = t; p < s && c.length < u; p++)for (var m = this._ptr[p], h = this._ptr[p + 1], d = m; d < h; d++) { var y = this._index[d]; if (y === p - t + r) { c.push(this._values[d]), f[c.length - 1] = y - r; break } } return l.push(c.length), new i({ values: c, index: f, ptr: l, size: [u, 1] }) }, i.fromJSON = function (e) { return new i(e) }, i.diagonal = function (e, n, s, u, c) { if (!l(e)) throw new TypeError("Array expected, size parameter"); if (2 !== e.length) throw new Error("Only two dimensions matrix are supported"); if (e = e.map((function (e) { if (o(e) && (e = e.toNumber()), !a(e) || !V(e) || e < 1) throw new Error("Size values must be positive integers"); return e })), s) { if (o(s) && (s = s.toNumber()), !a(s) || !V(s)) throw new TypeError("The parameter k must be an integer number") } else s = 0; var m = r, h = 0; f(c) && (m = t.find(r, [c, c]) || r, h = t.convert(0, c)); var d, y = s > 0 ? s : 0, g = s < 0 ? -s : 0, v = e[0], x = e[1], b = Math.min(v - g, x - y); if (l(n)) { if (n.length !== b) throw new Error("Invalid value array length"); d = function (e) { return n[e] } } else if (p(n)) { var w = n.size(); if (1 !== w.length || w[0] !== b) throw new Error("Invalid matrix length"); d = function (e) { return n.get([e]) } } else d = function () { return n }; for (var N = [], M = [], S = [], E = 0; E < x; E++) { S.push(N.length); var A = E - y; if (A >= 0 && A < b) { var O = d(A); m(O, h) || (M.push(A + g), N.push(O)) } } return S.push(N.length), new i({ values: N, index: M, ptr: S, size: [v, x] }) }, i.prototype.swapRows = function (e, t) { if (!(a(e) && V(e) && a(t) && V(t))) throw new Error("Row index must be positive integers"); if (2 !== this._size.length) throw new Error("Only two dimensional matrix is supported"); return Ee(e, this._size[0]), Ee(t, this._size[0]), i._swapRows(e, t, this._size[1], this._values, this._index, this._ptr), this }, i._forEachRow = function (e, t, r, n, i) { for (var a = n[e], o = n[e + 1], s = a; s < o; s++)i(r[s], t[s]) }, i._swapRows = function (e, t, r, n, i, a) { for (var o = 0; o < r; o++) { var s = a[o], u = a[o + 1], c = h(e, s, u, i), f = h(t, s, u, i); if (c < u && f < u && i[c] === e && i[f] === t) { if (n) { var l = n[c]; n[c] = n[f], n[f] = l } } else if (c < u && i[c] === e && (f >= u || i[f] !== t)) { var p = n ? n[c] : void 0; i.splice(f, 0, t), n && n.splice(f, 0, p), i.splice(f <= c ? c + 1 : c, 1), n && n.splice(f <= c ? c + 1 : c, 1) } else if (f < u && i[f] === t && (c >= u || i[c] !== e)) { var m = n ? n[f] : void 0; i.splice(c, 0, e), n && n.splice(c, 0, m), i.splice(c <= f ? f + 1 : f, 1), n && n.splice(c <= f ? f + 1 : f, 1) } } }, i }), { isClass: !0 })), Pt = Je("number", ["typed"], (function (e) { var t = (0, e.typed)("number", { "": function () { return 0 }, number: function (e) { return e }, string: function (e) { if ("NaN" === e) return NaN; var t = Number(e); if (isNaN(t)) throw new SyntaxError('String "' + e + '" is no valid number'); if (["0b", "0o", "0x"].includes(e.substring(0, 2))) { if (t > Math.pow(2, 32) - 1) throw new SyntaxError('String "'.concat(e, '" is out of range')); 2147483648 & t && (t = -1 * ~(t - 1)) } return t }, BigNumber: function (e) { return e.toNumber() }, Fraction: function (e) { return e.valueOf() }, Unit: function (e) { throw new Error("Second argument with valueless unit expected") }, null: function (e) { return 0 }, "Unit, string | Unit": function (e, t) { return e.toNumber(t) }, "Array | Matrix": function (e) { return bt(e, this) } }); return t.fromJSON = function (e) { return parseFloat(e.value) }, t })), Ut = Je("string", ["typed"], (function (e) { return (0, e.typed)("string", { "": function () { return "" }, number: K, null: function (e) { return "null" }, boolean: function (e) { return e + "" }, string: function (e) { return e }, "Array | Matrix": function (e) { return bt(e, this) }, any: function (e) { return String(e) } }) })), Ft = Je("boolean", ["typed"], (function (e) { return (0, e.typed)("boolean", { "": function () { return !1 }, boolean: function (e) { return e }, number: function (e) { return !!e }, null: function (e) { return !1 }, BigNumber: function (e) { return !e.isZero() }, string: function (e) { var t = e.toLowerCase(); if ("true" === t) return !0; if ("false" === t) return !1; var r = Number(e); if ("" !== e && !isNaN(r)) return !!r; throw new Error('Cannot convert "' + e + '" to a boolean') }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Lt = Je("bignumber", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("bignumber", { "": function () { return new r(0) }, number: function (e) { return new r(e + "") }, string: function (e) { return new r(e) }, BigNumber: function (e) { return e }, Fraction: function (e) { return new r(e.n).div(e.d).times(e.s) }, null: function (e) { return new r(0) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Ht = Je("complex", ["typed", "Complex"], (function (e) { var t = e.typed, r = e.Complex; return t("complex", { "": function () { return r.ZERO }, number: function (e) { return new r(e, 0) }, "number, number": function (e, t) { return new r(e, t) }, "BigNumber, BigNumber": function (e, t) { return new r(e.toNumber(), t.toNumber()) }, Fraction: function (e) { return new r(e.valueOf(), 0) }, Complex: function (e) { return e.clone() }, string: function (e) { return r(e) }, null: function (e) { return r(0) }, Object: function (e) { if ("re" in e && "im" in e) return new r(e.re, e.im); if ("r" in e && "phi" in e || "abs" in e && "arg" in e) return new r(e); throw new Error("Expected object with properties (re and im) or (r and phi) or (abs and arg)") }, "Array | Matrix": function (e) { return bt(e, this) } }) })), $t = Je("fraction", ["typed", "Fraction"], (function (e) { var t = e.typed, r = e.Fraction; return t("fraction", { number: function (e) { if (!isFinite(e) || isNaN(e)) throw new Error(e + " cannot be represented as a fraction"); return new r(e) }, string: function (e) { return new r(e) }, "number, number": function (e, t) { return new r(e, t) }, null: function (e) { return new r(0) }, BigNumber: function (e) { return new r(e.toString()) }, Fraction: function (e) { return e }, Object: function (e) { return new r(e) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Gt = Je("matrix", ["typed", "Matrix", "DenseMatrix", "SparseMatrix"], (function (e) { var t = e.typed, r = (e.Matrix, e.DenseMatrix), n = e.SparseMatrix; return t("matrix", { "": function () { return i([]) }, string: function (e) { return i([], e) }, "string, string": function (e, t) { return i([], e, t) }, Array: function (e) { return i(e) }, Matrix: function (e) { return i(e, e.storage()) }, "Array | Matrix, string": i, "Array | Matrix, string, string": i }); function i(e, t, i) { if ("dense" === t || "default" === t || void 0 === t) return new r(e, i); if ("sparse" === t) return new n(e, i); throw new TypeError("Unknown matrix type " + JSON.stringify(t) + ".") } })), Vt = Je("splitUnit", ["typed"], (function (e) { return (0, e.typed)("splitUnit", { "Unit, Array": function (e, t) { return e.splitUnit(t) } }) })), Zt = "number, number"; function Wt(e) { return Math.abs(e) } function Jt(e, t) { return e + t } function Yt(e, t) { return e * t } function Xt(e) { return -e } function Qt(e) { return e } function Kt(e) { return X(e) } function er(e) { return Math.ceil(e) } function tr(e) { return e * e * e } function rr(e) { return Math.exp(e) } function nr(e) { return Q(e) } function ir(e, t) { if (!V(e) || !V(t)) throw new Error("Parameters in function gcd must be integer numbers"); for (var r; 0 !== t;)r = e % t, e = t, t = r; return e < 0 ? -e : e } function ar(e, t) { if (!V(e) || !V(t)) throw new Error("Parameters in function lcm must be integer numbers"); if (0 === e || 0 === t) return 0; for (var r, n = e * t; 0 !== t;)t = e % (r = t), e = r; return Math.abs(n / e) } function or(e) { return Math.log(e) } function sr(e) { return J(e) } function ur(e) { return W(e) } function cr(e, t) { if (t > 0) return e - t * Math.floor(e / t); if (0 === t) return e; throw new Error("Cannot calculate mod for a negative divisor") } function fr(e, t) { var r = t < 0; if (r && (t = -t), 0 === t) throw new Error("Root must be non-zero"); if (e < 0 && Math.abs(t) % 2 != 1) throw new Error("Root must be odd when a is negative."); if (0 === e) return r ? 1 / 0 : 0; if (!isFinite(e)) return r ? 0 : e; var n = Math.pow(Math.abs(e), 1 / t); return n = e < 0 ? -n : n, r ? 1 / n : n } function lr(e) { return Z(e) } function pr(e) { return e * e } function mr(e, t) { var r, n, i, a = 0, o = 1, s = 1, u = 0; if (!V(e) || !V(t)) throw new Error("Parameters in function xgcd must be integer numbers"); for (; t;)i = e - (n = Math.floor(e / t)) * t, r = a, a = o - n * a, o = r, r = s, s = u - n * s, u = r, e = t, t = i; return e < 0 ? [-e, -o, -u] : [e, e ? o : 0, u] } function hr(e, t) { return e * e < 1 && t === 1 / 0 || e * e > 1 && t === -1 / 0 ? 0 : Math.pow(e, t) } function dr(e) { var t = arguments.length > 1 && void 0 !== arguments[1] ? arguments[1] : 0; return parseFloat(te(e, t)) } Wt.signature = "number", Jt.signature = Zt, Yt.signature = Zt, Xt.signature = "number", Qt.signature = "number", Kt.signature = "number", er.signature = "number", tr.signature = "number", rr.signature = "number", nr.signature = "number", ir.signature = Zt, ar.signature = Zt, or.signature = "number", sr.signature = "number", ur.signature = "number", cr.signature = Zt, fr.signature = Zt, lr.signature = "number", pr.signature = "number", mr.signature = Zt, hr.signature = Zt, dr.signature = Zt; var yr = Je("unaryMinus", ["typed"], (function (e) { return (0, e.typed)("unaryMinus", { number: Xt, Complex: function (e) { return e.neg() }, BigNumber: function (e) { return e.neg() }, Fraction: function (e) { return e.neg() }, Unit: function (e) { var t = e.clone(); return t.value = this(e.value), t }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), gr = Je("unaryPlus", ["typed", "config", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.BigNumber; return t("unaryPlus", { number: Qt, Complex: function (e) { return e }, BigNumber: function (e) { return e }, Fraction: function (e) { return e }, Unit: function (e) { return e.clone() }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "boolean | string": function (e) { return "BigNumber" === r.number ? new n(+e) : +e } }) })), vr = Je("abs", ["typed"], (function (e) { return (0, e.typed)("abs", { number: Wt, Complex: function (e) { return e.abs() }, BigNumber: function (e) { return e.abs() }, Fraction: function (e) { return e.abs() }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return e.abs() } }) })), xr = Je("apply", ["typed", "isInteger"], (function (e) { var t = e.typed, r = e.isInteger; return t("apply", { "Array | Matrix, number | BigNumber, function": function (e, t, n) { if (!r(t)) throw new TypeError("Integer number expected for dimension"); var i = Array.isArray(e) ? Me(e) : e.size(); if (t < 0 || t >= i.length) throw new Ne(t, i.length); return p(e) ? e.create(br(e.valueOf(), t, n)) : br(e, t, n) } }) })); function br(e, t, r) { var n, i, a; if (t <= 0) { if (Array.isArray(e[0])) { for (a = function (e) { var t, r, n = e.length, i = e[0].length, a = []; for (r = 0; r < i; r++) { var o = []; for (t = 0; t < n; t++)o.push(e[t][r]); a.push(o) } return a }(e), i = [], n = 0; n < a.length; n++)i[n] = br(a[n], t - 1, r); return i } return r(e) } for (i = [], n = 0; n < e.length; n++)i[n] = br(e[n], t - 1, r); return i } var wr = Je("addScalar", ["typed"], (function (e) { return (0, e.typed)("addScalar", { "number, number": Jt, "Complex, Complex": function (e, t) { return e.add(t) }, "BigNumber, BigNumber": function (e, t) { return e.plus(t) }, "Fraction, Fraction": function (e, t) { return e.add(t) }, "Unit, Unit": function (e, t) { if (null === e.value || void 0 === e.value) throw new Error("Parameter x contains a unit with undefined value"); if (null === t.value || void 0 === t.value) throw new Error("Parameter y contains a unit with undefined value"); if (!e.equalBase(t)) throw new Error("Units do not match"); var r = e.clone(); return r.value = this(r.value, t.value), r.fixPrefix = !1, r } }) })), Nr = Je("cbrt", ["config", "typed", "isNegative", "unaryMinus", "matrix", "Complex", "BigNumber", "Fraction"], (function (e) { var t = e.config, r = e.typed, n = e.isNegative, i = e.unaryMinus, a = e.matrix, c = e.Complex, f = e.BigNumber, l = e.Fraction; return r("cbrt", { number: Kt, Complex: p, "Complex, boolean": p, BigNumber: function (e) { return e.cbrt() }, Unit: function (e) { if (e.value && s(e.value)) { var t = e.clone(); return t.value = 1, (t = t.pow(1 / 3)).value = p(e.value), t } var r, a = n(e.value); a && (e.value = i(e.value)), r = o(e.value) ? new f(1).div(3) : u(e.value) ? new l(1, 3) : 1 / 3; var c = e.pow(r); return a && (c.value = i(c.value)), c }, "Array | Matrix": function (e) { return bt(e, this, !0) } }); function p(e, r) { var n = e.arg() / 3, i = e.abs(), o = new c(Kt(i), 0).mul(new c(0, n).exp()); if (r) { var s = [o, new c(Kt(i), 0).mul(new c(0, n + 2 * Math.PI / 3).exp()), new c(Kt(i), 0).mul(new c(0, n - 2 * Math.PI / 3).exp())]; return "Array" === t.matrix ? s : a(s) } return o } })), Mr = Je("algorithm11", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i, a) { var o = e._values, s = e._index, u = e._ptr, c = e._size, f = e._datatype; if (!o) throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); var l, p = c[0], m = c[1], h = r, d = 0, y = i; "string" == typeof f && (l = f, h = t.find(r, [l, l]), d = t.convert(0, l), n = t.convert(n, l), y = t.find(i, [l, l])); for (var g = [], v = [], x = [], b = 0; b < m; b++) { x[b] = v.length; for (var w = u[b], N = u[b + 1], M = w; M < N; M++) { var S = s[M], E = a ? y(n, o[M]) : y(o[M], n); h(E, d) || (v.push(S), g.push(E)) } } return x[m] = v.length, e.createSparseMatrix({ values: g, index: v, ptr: x, size: [p, m], datatype: l }) } })), Sr = Je("algorithm14", ["typed"], (function (e) { var t = e.typed; return function (e, r, n, i) { var a, o = e._data, s = e._size, u = e._datatype, c = n; "string" == typeof u && (a = u, r = t.convert(r, a), c = t.find(n, [a, a])); var f = s.length > 0 ? function e(t, r, n, i, a, o, s) { var u = []; if (r === n.length - 1) for (var c = 0; c < i; c++)u[c] = s ? t(o, a[c]) : t(a[c], o); else for (var f = 0; f < i; f++)u[f] = e(t, r + 1, n, n[r + 1], a[f], o, s); return u }(c, 0, s, s[0], o, r, i) : []; return e.createDenseMatrix({ data: f, size: Fe(s), datatype: a }) } })); function Er(e, t) { return function (e) { if (Array.isArray(e)) return e }(e) || function (e, t) { if ("undefined" == typeof Symbol || !(Symbol.iterator in Object(e))) return; var r = [], n = !0, i = !1, a = void 0; try { for (var o, s = e[Symbol.iterator](); !(n = (o = s.next()).done) && (r.push(o.value), !t || r.length !== t); n = !0); } catch (e) { i = !0, a = e } finally { try { n || null == s.return || s.return() } finally { if (i) throw a } } return r }(e, t) || function (e, t) { if (!e) return; if ("string" == typeof e) return Ar(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return Ar(e, t) }(e, t) || function () { throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function Ar(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var Or = Je("ceil", ["typed", "config", "round", "matrix", "equalScalar"], (function (e) { var t = e.typed, r = e.config, n = e.round, i = e.matrix, a = e.equalScalar, o = Mr({ typed: t, equalScalar: a }), s = Sr({ typed: t }); return t("ceil", { number: function (e) { return oe(e, n(e), r.epsilon) ? n(e) : er(e) }, "number, number": function (e, t) { if (oe(e, n(e, t), r.epsilon)) return n(e, t); var i = Er("".concat(e, "e").split("e"), 2), a = i[0], o = i[1], s = Math.ceil(Number("".concat(a, "e").concat(Number(o) + t))), u = Er("".concat(s, "e").split("e"), 2); return a = u[0], o = u[1], Number("".concat(a, "e").concat(Number(o) - t)) }, Complex: function (e) { return e.ceil() }, "Complex, number": function (e, t) { return e.ceil(t) }, BigNumber: function (e) { return Dt(e, n(e), r.epsilon) ? n(e) : e.ceil() }, "BigNumber, BigNumber": function (e, t) { return Dt(e, n(e, t), r.epsilon) ? n(e, t) : e.toDecimalPlaces(t.toNumber(), at.a.ROUND_CEIL) }, Fraction: function (e) { return e.ceil() }, "Fraction, number": function (e, t) { return e.ceil(t) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "Array | Matrix, number": function (e, t) { var r = this; return bt(e, (function (e) { return r(e, t) }), !0) }, "SparseMatrix, number | BigNumber": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return s(e, t, this, !1) }, "number | Complex | BigNumber, Array": function (e, t) { return s(i(t), e, this, !0).valueOf() } }) })), Cr = Je("cube", ["typed"], (function (e) { return (0, e.typed)("cube", { number: tr, Complex: function (e) { return e.mul(e).mul(e) }, BigNumber: function (e) { return e.times(e).times(e) }, Fraction: function (e) { return e.pow(3) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return e.pow(3) } }) })), _r = Je("exp", ["typed"], (function (e) { return (0, e.typed)("exp", { number: rr, Complex: function (e) { return e.exp() }, BigNumber: function (e) { return e.exp() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Tr = Je("expm1", ["typed", "Complex"], (function (e) { var t = e.typed, r = e.Complex; return t("expm1", { number: nr, Complex: function (e) { var t = Math.exp(e.re); return new r(t * Math.cos(e.im) - 1, t * Math.sin(e.im)) }, BigNumber: function (e) { return e.exp().minus(1) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), qr = Je("fix", ["typed", "Complex", "matrix", "ceil", "floor"], (function (e) { var t = e.typed, r = e.Complex, n = e.matrix, i = e.ceil, a = e.floor, o = Sr({ typed: t }); return t("fix", { number: function (e) { return e > 0 ? a(e) : i(e) }, "number, number | BigNumber": function (e, t) { return e > 0 ? a(e, t) : i(e, t) }, Complex: function (e) { return new r(e.re > 0 ? Math.floor(e.re) : Math.ceil(e.re), e.im > 0 ? Math.floor(e.im) : Math.ceil(e.im)) }, "Complex, number | BigNumber": function (e, t) { return new r(e.re > 0 ? a(e.re, t) : i(e.re, t), e.im > 0 ? a(e.im, t) : i(e.im, t)) }, BigNumber: function (e) { return e.isNegative() ? i(e) : a(e) }, "BigNumber, number | BigNumber": function (e, t) { return e.isNegative() ? i(e, t) : a(e, t) }, Fraction: function (e) { return e.s < 0 ? e.ceil() : e.floor() }, "Fraction, number | BigNumber": function (e, t) { return e.s < 0 ? e.ceil(t) : e.floor(t) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "Array | Matrix, number | BigNumber": function (e, t) { var r = this; return bt(e, (function (e) { return r(e, t) }), !0) }, "number | Complex | BigNumber, Array": function (e, t) { return o(n(t), e, this, !0).valueOf() } }) })); function zr(e, t) { return function (e) { if (Array.isArray(e)) return e }(e) || function (e, t) { if ("undefined" == typeof Symbol || !(Symbol.iterator in Object(e))) return; var r = [], n = !0, i = !1, a = void 0; try { for (var o, s = e[Symbol.iterator](); !(n = (o = s.next()).done) && (r.push(o.value), !t || r.length !== t); n = !0); } catch (e) { i = !0, a = e } finally { try { n || null == s.return || s.return() } finally { if (i) throw a } } return r }(e, t) || function (e, t) { if (!e) return; if ("string" == typeof e) return kr(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return kr(e, t) }(e, t) || function () { throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function kr(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var Ir = Je("floor", ["typed", "config", "round", "matrix", "equalScalar"], (function (e) { var t = e.typed, r = e.config, n = e.round, i = e.matrix, a = e.equalScalar, o = Mr({ typed: t, equalScalar: a }), s = Sr({ typed: t }); return t("floor", { number: function (e) { return oe(e, n(e), r.epsilon) ? n(e) : Math.floor(e) }, "number, number": function (e, t) { if (oe(e, n(e, t), r.epsilon)) return n(e, t); var i = zr("".concat(e, "e").split("e"), 2), a = i[0], o = i[1], s = Math.floor(Number("".concat(a, "e").concat(Number(o) + t))), u = zr("".concat(s, "e").split("e"), 2); return a = u[0], o = u[1], Number("".concat(a, "e").concat(Number(o) - t)) }, Complex: function (e) { return e.floor() }, "Complex, number": function (e, t) { return e.floor(t) }, BigNumber: function (e) { return Dt(e, n(e), r.epsilon) ? n(e) : e.floor() }, "BigNumber, BigNumber": function (e, t) { return Dt(e, n(e, t), r.epsilon) ? n(e, t) : e.toDecimalPlaces(t.toNumber(), at.a.ROUND_FLOOR) }, Fraction: function (e) { return e.floor() }, "Fraction, number": function (e, t) { return e.floor(t) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "Array | Matrix, number": function (e, t) { var r = this; return bt(e, (function (e) { return r(e, t) }), !0) }, "SparseMatrix, number | BigNumber": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return s(e, t, this, !1) }, "number | Complex | BigNumber, Array": function (e, t) { return s(i(t), e, this, !0).valueOf() } }) })), Br = Je("algorithm01", ["typed"], (function (e) { var t = e.typed; return function (e, r, n, i) { var a = e._data, o = e._size, s = e._datatype, u = r._values, c = r._index, f = r._ptr, l = r._size, p = r._datatype; if (o.length !== l.length) throw new we(o.length, l.length); if (o[0] !== l[0] || o[1] !== l[1]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + l + ")"); if (!u) throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); var m, h, d = o[0], y = o[1], g = "string" == typeof s && s === p ? s : void 0, v = g ? t.find(n, [g, g]) : n, x = []; for (m = 0; m < d; m++)x[m] = []; var b = [], w = []; for (h = 0; h < y; h++) { for (var N = h + 1, M = f[h], S = f[h + 1], E = M; E < S; E++)b[m = c[E]] = i ? v(u[E], a[m][h]) : v(a[m][h], u[E]), w[m] = N; for (m = 0; m < d; m++)w[m] === N ? x[m][h] = b[m] : x[m][h] = a[m][h] } return e.createDenseMatrix({ data: x, size: [d, y], datatype: g }) } })), Dr = Je("algorithm04", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._index, s = e._ptr, u = e._size, c = e._datatype, f = n._values, l = n._index, p = n._ptr, m = n._size, h = n._datatype; if (u.length !== m.length) throw new we(u.length, m.length); if (u[0] !== m[0] || u[1] !== m[1]) throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + m + ")"); var d, y = u[0], g = u[1], v = r, x = 0, b = i; "string" == typeof c && c === h && (d = c, v = t.find(r, [d, d]), x = t.convert(0, d), b = t.find(i, [d, d])); var w, N, M, S, E, A = a && f ? [] : void 0, O = [], C = [], _ = a && f ? [] : void 0, T = a && f ? [] : void 0, q = [], z = []; for (N = 0; N < g; N++) { C[N] = O.length; var k = N + 1; for (S = s[N], E = s[N + 1], M = S; M < E; M++)w = o[M], O.push(w), q[w] = k, _ && (_[w] = a[M]); for (S = p[N], E = p[N + 1], M = S; M < E; M++)if (q[w = l[M]] === k) { if (_) { var I = b(_[w], f[M]); v(I, x) ? q[w] = null : _[w] = I } } else O.push(w), z[w] = k, T && (T[w] = f[M]); if (_ && T) for (M = C[N]; M < O.length;)q[w = O[M]] === k ? (A[M] = _[w], M++) : z[w] === k ? (A[M] = T[w], M++) : O.splice(M, 1) } return C[g] = O.length, e.createSparseMatrix({ values: A, index: O, ptr: C, size: [y, g], datatype: d }) } })), Rr = Je("algorithm10", ["typed", "DenseMatrix"], (function (e) { var t = e.typed, r = e.DenseMatrix; return function (e, n, i, a) { var o = e._values, s = e._index, u = e._ptr, c = e._size, f = e._datatype; if (!o) throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); var l, p = c[0], m = c[1], h = i; "string" == typeof f && (l = f, n = t.convert(n, l), h = t.find(i, [l, l])); for (var d = [], y = [], g = [], v = 0; v < m; v++) { for (var x = v + 1, b = u[v], w = u[v + 1], N = b; N < w; N++) { var M = s[N]; y[M] = o[N], g[M] = x } for (var S = 0; S < p; S++)0 === v && (d[S] = []), g[S] === x ? d[S][v] = a ? h(n, y[S]) : h(y[S], n) : d[S][v] = n } return new r({ data: d, size: [p, m], datatype: l }) } })), jr = Je("algorithm13", ["typed"], (function (e) { var t = e.typed; return function (e, r, n) { var i, a = e._data, o = e._size, s = e._datatype, u = r._data, c = r._size, f = r._datatype, l = []; if (o.length !== c.length) throw new we(o.length, c.length); for (var p = 0; p < o.length; p++) { if (o[p] !== c[p]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + c + ")"); l[p] = o[p] } var m = n; "string" == typeof s && s === f && (i = s, m = t.find(n, [i, i])); var h = l.length > 0 ? function e(t, r, n, i, a, o) { var s = []; if (r === n.length - 1) for (var u = 0; u < i; u++)s[u] = t(a[u], o[u]); else for (var c = 0; c < i; c++)s[c] = e(t, r + 1, n, n[r + 1], a[c], o[c]); return s }(m, 0, l, l[0], a, u) : []; return e.createDenseMatrix({ data: h, size: l, datatype: i }) } })), Pr = Je("gcd", ["typed", "matrix", "equalScalar", "BigNumber", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.BigNumber, a = e.DenseMatrix, o = Br({ typed: t }), s = Dr({ typed: t, equalScalar: n }), u = Rr({ typed: t, DenseMatrix: a }), c = jr({ typed: t }), f = Sr({ typed: t }); return t("gcd", { "number, number": ir, "BigNumber, BigNumber": function (e, t) { if (!e.isInt() || !t.isInt()) throw new Error("Parameters in function gcd must be integer numbers"); var r = new i(0); for (; !t.isZero();) { var n = e.mod(t); e = t, t = n } return e.lt(r) ? e.neg() : e }, "Fraction, Fraction": function (e, t) { return e.gcd(t) }, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return c(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return f(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return u(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return f(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return f(r(e), t, this, !1).valueOf() }, "number | BigNumber, Array": function (e, t) { return f(r(t), e, this, !0).valueOf() }, "Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber": function (e, t, r) { for (var n = this(e, t), i = 0; i < r.length; i++)n = this(n, r[i]); return n } }) })), Ur = Je("algorithm02", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i, a) { var o = e._data, s = e._size, u = e._datatype, c = n._values, f = n._index, l = n._ptr, p = n._size, m = n._datatype; if (s.length !== p.length) throw new we(s.length, p.length); if (s[0] !== p[0] || s[1] !== p[1]) throw new RangeError("Dimension mismatch. Matrix A (" + s + ") must match Matrix B (" + p + ")"); if (!c) throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); var h, d = s[0], y = s[1], g = r, v = 0, x = i; "string" == typeof u && u === m && (h = u, g = t.find(r, [h, h]), v = t.convert(0, h), x = t.find(i, [h, h])); for (var b = [], w = [], N = [], M = 0; M < y; M++) { N[M] = w.length; for (var S = l[M], E = l[M + 1], A = S; A < E; A++) { var O = f[A], C = a ? x(c[A], o[O][M]) : x(o[O][M], c[A]); g(C, v) || (w.push(O), b.push(C)) } } return N[y] = w.length, n.createSparseMatrix({ values: b, index: w, ptr: N, size: [d, y], datatype: h }) } })), Fr = Je("algorithm06", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._size, s = e._datatype, u = n._values, c = n._size, f = n._datatype; if (o.length !== c.length) throw new we(o.length, c.length); if (o[0] !== c[0] || o[1] !== c[1]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + c + ")"); var l, p = o[0], m = o[1], h = r, d = 0, y = i; "string" == typeof s && s === f && (l = s, h = t.find(r, [l, l]), d = t.convert(0, l), y = t.find(i, [l, l])); for (var g = a && u ? [] : void 0, v = [], x = [], b = g ? [] : void 0, w = [], N = [], M = 0; M < m; M++) { x[M] = v.length; var S = M + 1; if (Mt(e, M, w, b, N, S, v, y), Mt(n, M, w, b, N, S, v, y), b) for (var E = x[M]; E < v.length;) { var A = v[E]; if (N[A] === S) { var O = b[A]; h(O, d) ? v.splice(E, 1) : (g.push(O), E++) } else v.splice(E, 1) } else for (var C = x[M]; C < v.length;) { N[v[C]] !== S ? v.splice(C, 1) : C++ } } return x[m] = v.length, e.createSparseMatrix({ values: g, index: v, ptr: x, size: [p, m], datatype: l }) } })), Lr = Je("lcm", ["typed", "matrix", "equalScalar"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = Ur({ typed: t, equalScalar: n }), a = Fr({ typed: t, equalScalar: n }), o = Mr({ typed: t, equalScalar: n }), s = jr({ typed: t }), u = Sr({ typed: t }); return t("lcm", { "number, number": ar, "BigNumber, BigNumber": function (e, t) { if (!e.isInt() || !t.isInt()) throw new Error("Parameters in function lcm must be integer numbers"); if (e.isZero()) return e; if (t.isZero()) return t; var r = e.times(t); for (; !t.isZero();) { var n = t; t = e.mod(n), e = n } return r.div(e).abs() }, "Fraction, Fraction": function (e, t) { return e.lcm(t) }, "SparseMatrix, SparseMatrix": function (e, t) { return a(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return i(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return i(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return s(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return u(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return o(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return u(r(e), t, this, !1).valueOf() }, "number | BigNumber, Array": function (e, t) { return u(r(t), e, this, !0).valueOf() }, "Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber": function (e, t, r) { for (var n = this(e, t), i = 0; i < r.length; i++)n = this(n, r[i]); return n } }) })), Hr = Je("log10", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("log10", { number: function (e) { return e >= 0 || r.predictable ? sr(e) : new n(e, 0).log().div(Math.LN10) }, Complex: function (e) { return new n(e).log().div(Math.LN10) }, BigNumber: function (e) { return !e.isNegative() || r.predictable ? e.log() : new n(e.toNumber(), 0).log().div(Math.LN10) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), $r = Je("log2", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("log2", { number: function (e) { return e >= 0 || r.predictable ? ur(e) : i(new n(e, 0)) }, Complex: i, BigNumber: function (e) { return !e.isNegative() || r.predictable ? e.log(2) : i(new n(e.toNumber(), 0)) }, "Array | Matrix": function (e) { return bt(e, this) } }); function i(e) { var t = Math.sqrt(e.re * e.re + e.im * e.im); return new n(Math.log2 ? Math.log2(t) : Math.log(t) / Math.LN2, Math.atan2(e.im, e.re) / Math.LN2) } })), Gr = Je("algorithm03", ["typed"], (function (e) { var t = e.typed; return function (e, r, n, i) { var a = e._data, o = e._size, s = e._datatype, u = r._values, c = r._index, f = r._ptr, l = r._size, p = r._datatype; if (o.length !== l.length) throw new we(o.length, l.length); if (o[0] !== l[0] || o[1] !== l[1]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + l + ")"); if (!u) throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); var m, h = o[0], d = o[1], y = 0, g = n; "string" == typeof s && s === p && (m = s, y = t.convert(0, m), g = t.find(n, [m, m])); for (var v = [], x = 0; x < h; x++)v[x] = []; for (var b = [], w = [], N = 0; N < d; N++) { for (var M = N + 1, S = f[N], E = f[N + 1], A = S; A < E; A++) { var O = c[A]; b[O] = i ? g(u[A], a[O][N]) : g(a[O][N], u[A]), w[O] = M } for (var C = 0; C < h; C++)w[C] === M ? v[C][N] = b[C] : v[C][N] = i ? g(y, a[C][N]) : g(a[C][N], y) } return e.createDenseMatrix({ data: v, size: [h, d], datatype: m }) } })), Vr = Je("algorithm05", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._index, s = e._ptr, u = e._size, c = e._datatype, f = n._values, l = n._index, p = n._ptr, m = n._size, h = n._datatype; if (u.length !== m.length) throw new we(u.length, m.length); if (u[0] !== m[0] || u[1] !== m[1]) throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + m + ")"); var d, y = u[0], g = u[1], v = r, x = 0, b = i; "string" == typeof c && c === h && (d = c, v = t.find(r, [d, d]), x = t.convert(0, d), b = t.find(i, [d, d])); var w, N, M, S, E = a && f ? [] : void 0, A = [], O = [], C = E ? [] : void 0, _ = E ? [] : void 0, T = [], q = []; for (N = 0; N < g; N++) { O[N] = A.length; var z = N + 1; for (M = s[N], S = s[N + 1]; M < S; M++)w = o[M], A.push(w), T[w] = z, C && (C[w] = a[M]); for (M = p[N], S = p[N + 1]; M < S; M++)T[w = l[M]] !== z && A.push(w), q[w] = z, _ && (_[w] = f[M]); if (E) for (M = O[N]; M < A.length;) { var k = T[w = A[M]], I = q[w]; if (k === z || I === z) { var B = b(k === z ? C[w] : x, I === z ? _[w] : x); v(B, x) ? A.splice(M, 1) : (E.push(B), M++) } } } return O[g] = A.length, e.createSparseMatrix({ values: E, index: A, ptr: O, size: [y, g], datatype: d }) } })), Zr = Je("algorithm12", ["typed", "DenseMatrix"], (function (e) { var t = e.typed, r = e.DenseMatrix; return function (e, n, i, a) { var o = e._values, s = e._index, u = e._ptr, c = e._size, f = e._datatype; if (!o) throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); var l, p = c[0], m = c[1], h = i; "string" == typeof f && (l = f, n = t.convert(n, l), h = t.find(i, [l, l])); for (var d = [], y = [], g = [], v = 0; v < m; v++) { for (var x = v + 1, b = u[v], w = u[v + 1], N = b; N < w; N++) { var M = s[N]; y[M] = o[N], g[M] = x } for (var S = 0; S < p; S++)0 === v && (d[S] = []), g[S] === x ? d[S][v] = a ? h(n, y[S]) : h(y[S], n) : d[S][v] = a ? h(n, 0) : h(0, n) } return new r({ data: d, size: [p, m], datatype: l }) } })), Wr = Je("mod", ["typed", "matrix", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.DenseMatrix, a = Ur({ typed: t, equalScalar: n }), o = Gr({ typed: t }), s = Vr({ typed: t, equalScalar: n }), u = Mr({ typed: t, equalScalar: n }), c = Zr({ typed: t, DenseMatrix: i }), f = jr({ typed: t }), l = Sr({ typed: t }); return t("mod", { "number, number": cr, "BigNumber, BigNumber": function (e, t) { if (t.isNeg()) throw new Error("Cannot calculate mod for a negative divisor"); return t.isZero() ? e : e.mod(t) }, "Fraction, Fraction": function (e, t) { if (t.compare(0) < 0) throw new Error("Cannot calculate mod for a negative divisor"); return e.compare(0) >= 0 ? e.mod(t) : e.mod(t).add(t).mod(t) }, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return f(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return l(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return c(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return l(t, e, this, !0) }, "Array, any": function (e, t) { return l(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return l(r(t), e, this, !0).valueOf() } }) })), Jr = Je("multiplyScalar", ["typed"], (function (e) { return (0, e.typed)("multiplyScalar", { "number, number": Yt, "Complex, Complex": function (e, t) { return e.mul(t) }, "BigNumber, BigNumber": function (e, t) { return e.times(t) }, "Fraction, Fraction": function (e, t) { return e.mul(t) }, "number | Fraction | BigNumber | Complex, Unit": function (e, t) { var r = t.clone(); return r.value = null === r.value ? r._normalize(e) : this(r.value, e), r }, "Unit, number | Fraction | BigNumber | Complex": function (e, t) { var r = e.clone(); return r.value = null === r.value ? r._normalize(t) : this(r.value, t), r }, "Unit, Unit": function (e, t) { return e.multiply(t) } }) })), Yr = Je("multiply", ["typed", "matrix", "addScalar", "multiplyScalar", "equalScalar", "dot"], (function (e) { var t = e.typed, r = e.matrix, n = e.addScalar, i = e.multiplyScalar, a = e.equalScalar, o = e.dot, s = Mr({ typed: t, equalScalar: a }), u = Sr({ typed: t }); function c(e, t) { switch (e.length) { case 1: switch (t.length) { case 1: if (e[0] !== t[0]) throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length"); break; case 2: if (e[0] !== t[0]) throw new RangeError("Dimension mismatch in multiplication. Vector length (" + e[0] + ") must match Matrix rows (" + t[0] + ")"); break; default: throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has " + t.length + " dimensions)") }break; case 2: switch (t.length) { case 1: if (e[1] !== t[0]) throw new RangeError("Dimension mismatch in multiplication. Matrix columns (" + e[1] + ") must match Vector length (" + t[0] + ")"); break; case 2: if (e[1] !== t[0]) throw new RangeError("Dimension mismatch in multiplication. Matrix A columns (" + e[1] + ") must match Matrix B rows (" + t[0] + ")"); break; default: throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has " + t.length + " dimensions)") }break; default: throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has " + e.length + " dimensions)") } } function f(e, r) { if ("dense" !== r.storage()) throw new Error("Support for SparseMatrix not implemented"); return function (e, r) { var a, o = e._data, s = e._size, u = e._datatype, c = r._data, f = r._size, l = r._datatype, p = s[0], m = f[1], h = n, d = i; u && l && u === l && "string" == typeof u && (a = u, h = t.find(n, [a, a]), d = t.find(i, [a, a])); for (var y = [], g = 0; g < m; g++) { for (var v = d(o[0], c[0][g]), x = 1; x < p; x++)v = h(v, d(o[x], c[x][g])); y[g] = v } return e.createDenseMatrix({ data: y, size: [m], datatype: a }) }(e, r) } var l = t("_multiplyMatrixVector", { "DenseMatrix, any": function (e, r) { var a, o = e._data, s = e._size, u = e._datatype, c = r._data, f = r._datatype, l = s[0], p = s[1], m = n, h = i; u && f && u === f && "string" == typeof u && (a = u, m = t.find(n, [a, a]), h = t.find(i, [a, a])); for (var d = [], y = 0; y < l; y++) { for (var g = o[y], v = h(g[0], c[0]), x = 1; x < p; x++)v = m(v, h(g[x], c[x])); d[y] = v } return e.createDenseMatrix({ data: d, size: [l], datatype: a }) }, "SparseMatrix, any": function (e, r) { var o = e._values, s = e._index, u = e._ptr, c = e._datatype; if (!o) throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix"); var f, l = r._data, p = r._datatype, m = e._size[0], h = r._size[0], d = [], y = [], g = [], v = n, x = i, b = a, w = 0; c && p && c === p && "string" == typeof c && (f = c, v = t.find(n, [f, f]), x = t.find(i, [f, f]), b = t.find(a, [f, f]), w = t.convert(0, f)); var N = [], M = []; g[0] = 0; for (var S = 0; S < h; S++) { var E = l[S]; if (!b(E, w)) for (var A = u[S], O = u[S + 1], C = A; C < O; C++) { var _ = s[C]; M[_] ? N[_] = v(N[_], x(E, o[C])) : (M[_] = !0, y.push(_), N[_] = x(E, o[C])) } } for (var T = y.length, q = 0; q < T; q++) { var z = y[q]; d[q] = N[z] } return g[1] = y.length, e.createSparseMatrix({ values: d, index: y, ptr: g, size: [m, 1], datatype: f }) } }), m = t("_multiplyMatrixMatrix", { "DenseMatrix, DenseMatrix": function (e, r) { var a, o = e._data, s = e._size, u = e._datatype, c = r._data, f = r._size, l = r._datatype, p = s[0], m = s[1], h = f[1], d = n, y = i; u && l && u === l && "string" == typeof u && (a = u, d = t.find(n, [a, a]), y = t.find(i, [a, a])); for (var g = [], v = 0; v < p; v++) { var x = o[v]; g[v] = []; for (var b = 0; b < h; b++) { for (var w = y(x[0], c[0][b]), N = 1; N < m; N++)w = d(w, y(x[N], c[N][b])); g[v][b] = w } } return e.createDenseMatrix({ data: g, size: [p, h], datatype: a }) }, "DenseMatrix, SparseMatrix": function (e, r) { var o = e._data, s = e._size, u = e._datatype, c = r._values, f = r._index, l = r._ptr, p = r._size, m = r._datatype; if (!c) throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix"); var h, d = s[0], y = p[1], g = n, v = i, x = a, b = 0; u && m && u === m && "string" == typeof u && (h = u, g = t.find(n, [h, h]), v = t.find(i, [h, h]), x = t.find(a, [h, h]), b = t.convert(0, h)); for (var w = [], N = [], M = [], S = r.createSparseMatrix({ values: w, index: N, ptr: M, size: [d, y], datatype: h }), E = 0; E < y; E++) { M[E] = N.length; var A = l[E], O = l[E + 1]; if (O > A) for (var C = 0, _ = 0; _ < d; _++) { for (var T = _ + 1, q = void 0, z = A; z < O; z++) { var k = f[z]; C !== T ? (q = v(o[_][k], c[z]), C = T) : q = g(q, v(o[_][k], c[z])) } C !== T || x(q, b) || (N.push(_), w.push(q)) } } return M[y] = N.length, S }, "SparseMatrix, DenseMatrix": function (e, r) { var o = e._values, s = e._index, u = e._ptr, c = e._datatype; if (!o) throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix"); var f, l = r._data, p = r._datatype, m = e._size[0], h = r._size[0], d = r._size[1], y = n, g = i, v = a, x = 0; c && p && c === p && "string" == typeof c && (f = c, y = t.find(n, [f, f]), g = t.find(i, [f, f]), v = t.find(a, [f, f]), x = t.convert(0, f)); for (var b = [], w = [], N = [], M = e.createSparseMatrix({ values: b, index: w, ptr: N, size: [m, d], datatype: f }), S = [], E = [], A = 0; A < d; A++) { N[A] = w.length; for (var O = A + 1, C = 0; C < h; C++) { var _ = l[C][A]; if (!v(_, x)) for (var T = u[C], q = u[C + 1], z = T; z < q; z++) { var k = s[z]; E[k] !== O ? (E[k] = O, w.push(k), S[k] = g(_, o[z])) : S[k] = y(S[k], g(_, o[z])) } } for (var I = N[A], B = w.length, D = I; D < B; D++) { var R = w[D]; b[D] = S[R] } } return N[d] = w.length, M }, "SparseMatrix, SparseMatrix": function (e, r) { var a, o = e._values, s = e._index, u = e._ptr, c = e._datatype, f = r._values, l = r._index, p = r._ptr, m = r._datatype, h = e._size[0], d = r._size[1], y = o && f, g = n, v = i; c && m && c === m && "string" == typeof c && (a = c, g = t.find(n, [a, a]), v = t.find(i, [a, a])); for (var x, b, w, N, M, S, E, A, O = y ? [] : void 0, C = [], _ = [], T = e.createSparseMatrix({ values: O, index: C, ptr: _, size: [h, d], datatype: a }), q = y ? [] : void 0, z = [], k = 0; k < d; k++) { _[k] = C.length; var I = k + 1; for (M = p[k], S = p[k + 1], N = M; N < S; N++)if (A = l[N], y) for (b = u[A], w = u[A + 1], x = b; x < w; x++)E = s[x], z[E] !== I ? (z[E] = I, C.push(E), q[E] = v(f[N], o[x])) : q[E] = g(q[E], v(f[N], o[x])); else for (b = u[A], w = u[A + 1], x = b; x < w; x++)E = s[x], z[E] !== I && (z[E] = I, C.push(E)); if (y) for (var B = _[k], D = C.length, R = B; R < D; R++) { var j = C[R]; O[R] = q[j] } } return _[d] = C.length, T } }); return t("multiply", He({ "Array, Array": function (e, t) { c(Me(e), Me(t)); var n = this(r(e), r(t)); return p(n) ? n.valueOf() : n }, "Matrix, Matrix": function (e, t) { var r = e.size(), n = t.size(); return c(r, n), 1 === r.length ? 1 === n.length ? function (e, t, r) { if (0 === r) throw new Error("Cannot multiply two empty vectors"); return o(e, t) }(e, t, r[0]) : f(e, t) : 1 === n.length ? l(e, t) : m(e, t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "Array, Matrix": function (e, t) { return this(r(e, t.storage()), t) }, "SparseMatrix, any": function (e, t) { return s(e, t, i, !1) }, "DenseMatrix, any": function (e, t) { return u(e, t, i, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, i, !0) }, "any, DenseMatrix": function (e, t) { return u(t, e, i, !0) }, "Array, any": function (e, t) { return u(r(e), t, i, !1).valueOf() }, "any, Array": function (e, t) { return u(r(t), e, i, !0).valueOf() }, "any, any": i, "any, any, ...any": function (e, t, r) { for (var n = this(e, t), i = 0; i < r.length; i++)n = this(n, r[i]); return n } }, i.signatures)) })), Xr = Je("nthRoot", ["typed", "matrix", "equalScalar", "BigNumber"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.BigNumber, a = Br({ typed: t }), o = Ur({ typed: t, equalScalar: n }), s = Fr({ typed: t, equalScalar: n }), u = Mr({ typed: t, equalScalar: n }), c = jr({ typed: t }), f = Sr({ typed: t }), l = "Complex number not supported in function nthRoot. Use nthRoots instead."; return t("nthRoot", { number: function (e) { return fr(e, 2) }, "number, number": fr, BigNumber: function (e) { return p(e, new i(2)) }, Complex: function (e) { throw new Error(l) }, "Complex, number": function (e, t) { throw new Error(l) }, "BigNumber, BigNumber": p, "Array | Matrix": function (e) { return this(e, 2) }, "SparseMatrix, SparseMatrix": function (e, t) { if (1 === t.density()) return s(e, t, this); throw new Error("Root must be non-zero") }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { if (1 === t.density()) return a(e, t, this, !1); throw new Error("Root must be non-zero") }, "DenseMatrix, DenseMatrix": function (e, t) { return c(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return f(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { if (1 === t.density()) return u(t, e, this, !0); throw new Error("Root must be non-zero") }, "number | BigNumber, DenseMatrix": function (e, t) { return f(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return this(r(e), t).valueOf() }, "number | BigNumber, Array": function (e, t) { return this(e, r(t)).valueOf() } }); function p(e, t) { var r = i.precision, n = i.clone({ precision: r + 2 }), a = new i(0), o = new n(1), s = t.isNegative(); if (s && (t = t.neg()), t.isZero()) throw new Error("Root must be non-zero"); if (e.isNegative() && !t.abs().mod(2).equals(1)) throw new Error("Root must be odd when a is negative."); if (e.isZero()) return s ? new n(1 / 0) : 0; if (!e.isFinite()) return s ? a : e; var u = e.abs().pow(o.div(t)); return u = e.isNeg() ? u.neg() : u, new i((s ? o.div(u) : u).toPrecision(r)) } })), Qr = Je("sign", ["typed", "BigNumber", "Fraction", "complex"], (function (e) { var t = e.typed, r = e.BigNumber, n = e.complex, i = e.Fraction; return t("sign", { number: lr, Complex: function (e) { return 0 === e.im ? n(lr(e.re)) : e.sign() }, BigNumber: function (e) { return new r(e.cmp(0)) }, Fraction: function (e) { return new i(e.s, 1) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return this(e.value) } }) })), Kr = Je("sqrt", ["config", "typed", "Complex"], (function (e) { var t = e.config, r = e.typed, n = e.Complex; return r("sqrt", { number: i, Complex: function (e) { return e.sqrt() }, BigNumber: function (e) { return !e.isNegative() || t.predictable ? e.sqrt() : i(e.toNumber()) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return e.pow(.5) } }); function i(e) { return isNaN(e) ? NaN : e >= 0 || t.predictable ? Math.sqrt(e) : new n(e, 0).sqrt() } })), en = Je("square", ["typed"], (function (e) { return (0, e.typed)("square", { number: pr, Complex: function (e) { return e.mul(e) }, BigNumber: function (e) { return e.times(e) }, Fraction: function (e) { return e.mul(e) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return e.pow(2) } }) })), tn = Je("subtract", ["typed", "matrix", "equalScalar", "addScalar", "unaryMinus", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.addScalar, a = e.unaryMinus, o = e.DenseMatrix, s = Br({ typed: t }), u = Gr({ typed: t }), c = Vr({ typed: t, equalScalar: n }), f = Rr({ typed: t, DenseMatrix: o }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("subtract", { "number, number": function (e, t) { return e - t }, "Complex, Complex": function (e, t) { return e.sub(t) }, "BigNumber, BigNumber": function (e, t) { return e.minus(t) }, "Fraction, Fraction": function (e, t) { return e.sub(t) }, "Unit, Unit": function (e, t) { if (null === e.value) throw new Error("Parameter x contains a unit with undefined value"); if (null === t.value) throw new Error("Parameter y contains a unit with undefined value"); if (!e.equalBase(t)) throw new Error("Units do not match"); var r = e.clone(); return r.value = this(r.value, t.value), r.fixPrefix = !1, r }, "SparseMatrix, SparseMatrix": function (e, t) { return rn(e, t), c(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return rn(e, t), u(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return rn(e, t), s(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return rn(e, t), l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return f(e, a(t), i) }, "DenseMatrix, any": function (e, t) { return p(e, t, this) }, "any, SparseMatrix": function (e, t) { return f(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return p(t, e, this, !0) }, "Array, any": function (e, t) { return p(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return p(r(t), e, this, !0).valueOf() } }) })); function rn(e, t) { var r = e.size(), n = t.size(); if (r.length !== n.length) throw new we(r.length, n.length) } var nn = Je("xgcd", ["typed", "config", "matrix", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.BigNumber; return t("xgcd", { "number, number": function (e, t) { var i = mr(e, t); return "Array" === r.matrix ? i : n(i) }, "BigNumber, BigNumber": function (e, t) { var a, o, s, u, c = new i(0), f = new i(1), l = c, p = f, m = f, h = c; if (!e.isInt() || !t.isInt()) throw new Error("Parameters in function xgcd must be integer numbers"); for (; !t.isZero();)o = e.div(t).floor(), s = e.mod(t), a = l, l = p.minus(o.times(l)), p = a, a = m, m = h.minus(o.times(m)), h = a, e = t, t = s; u = e.lt(c) ? [e.neg(), p.neg(), h.neg()] : [e, e.isZero() ? 0 : p, h]; return "Array" === r.matrix ? u : n(u) } }) })), an = Je("algorithm09", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._index, s = e._ptr, u = e._size, c = e._datatype, f = n._values, l = n._index, p = n._ptr, m = n._size, h = n._datatype; if (u.length !== m.length) throw new we(u.length, m.length); if (u[0] !== m[0] || u[1] !== m[1]) throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + m + ")"); var d, y = u[0], g = u[1], v = r, x = 0, b = i; "string" == typeof c && c === h && (d = c, v = t.find(r, [d, d]), x = t.convert(0, d), b = t.find(i, [d, d])); var w, N, M, S, E, A = a && f ? [] : void 0, O = [], C = [], _ = A ? [] : void 0, T = []; for (N = 0; N < g; N++) { C[N] = O.length; var q = N + 1; if (_) for (S = p[N], E = p[N + 1], M = S; M < E; M++)T[w = l[M]] = q, _[w] = f[M]; for (S = s[N], E = s[N + 1], M = S; M < E; M++)if (w = o[M], _) { var z = T[w] === q ? _[w] : x, k = b(a[M], z); v(k, x) || (O.push(w), A.push(k)) } else O.push(w) } return C[g] = O.length, e.createSparseMatrix({ values: A, index: O, ptr: C, size: [y, g], datatype: d }) } })), on = Je("dotMultiply", ["typed", "matrix", "equalScalar", "multiplyScalar"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.multiplyScalar, a = Ur({ typed: t, equalScalar: n }), o = an({ typed: t, equalScalar: n }), s = Mr({ typed: t, equalScalar: n }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("dotMultiply", { "any, any": i, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, i, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, i, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, i, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, i) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, i, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, i, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, i, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, i, !0) }, "Array, any": function (e, t) { return c(r(e), t, i, !1).valueOf() }, "any, Array": function (e, t) { return c(r(t), e, i, !0).valueOf() } }) })); function sn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function bitAnd"); var r = e.constructor; if (e.isNaN() || t.isNaN()) return new r(NaN); if (e.isZero() || t.eq(-1) || e.eq(t)) return e; if (t.isZero() || e.eq(-1)) return t; if (!e.isFinite() || !t.isFinite()) { if (!e.isFinite() && !t.isFinite()) return e.isNegative() === t.isNegative() ? e : new r(0); if (!e.isFinite()) return t.isNegative() ? e : e.isNegative() ? new r(0) : t; if (!t.isFinite()) return e.isNegative() ? t : t.isNegative() ? new r(0) : e } return fn(e, t, (function (e, t) { return e & t })) } function un(e) { if (e.isFinite() && !e.isInteger()) throw new Error("Integer expected in function bitNot"); var t = e.constructor, r = t.precision; t.config({ precision: 1e9 }); var n = e.plus(new t(1)); return n.s = -n.s || null, t.config({ precision: r }), n } function cn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function bitOr"); var r = e.constructor; if (e.isNaN() || t.isNaN()) return new r(NaN); var n = new r(-1); return e.isZero() || t.eq(n) || e.eq(t) ? t : t.isZero() || e.eq(n) ? e : e.isFinite() && t.isFinite() ? fn(e, t, (function (e, t) { return e | t })) : !e.isFinite() && !e.isNegative() && t.isNegative() || e.isNegative() && !t.isNegative() && !t.isFinite() ? n : e.isNegative() && t.isNegative() ? e.isFinite() ? e : t : e.isFinite() ? t : e } function fn(e, t, r) { var n, i, a, o, s, u = e.constructor, c = +(e.s < 0), f = +(t.s < 0); if (c) { n = ln(un(e)); for (var l = 0; l < n.length; ++l)n[l] ^= 1 } else n = ln(e); if (f) { i = ln(un(t)); for (var p = 0; p < i.length; ++p)i[p] ^= 1 } else i = ln(t); n.length <= i.length ? (a = n, o = i, s = c) : (a = i, o = n, s = f); var m = a.length, h = o.length, d = 1 ^ r(c, f), y = new u(1 ^ d), g = new u(1), v = new u(2), x = u.precision; for (u.config({ precision: 1e9 }); m > 0;)r(a[--m], o[--h]) === d && (y = y.plus(g)), g = g.times(v); for (; h > 0;)r(s, o[--h]) === d && (y = y.plus(g)), g = g.times(v); return u.config({ precision: x }), 0 === d && (y.s = -y.s), y } function ln(e) { for (var t = e.d, r = t[0] + "", n = 1; n < t.length; ++n) { for (var i = t[n] + "", a = 7 - i.length; a--;)i = "0" + i; r += i } for (var o = r.length; "0" === r.charAt(o);)o--; var s = e.e, u = r.slice(0, o + 1 || 1), c = u.length; if (s > 0) if (++s > c) for (s -= c; s--;)u += "0"; else s < c && (u = u.slice(0, s) + "." + u.slice(s)); for (var f = [0], l = 0; l < u.length;) { for (var p = f.length; p--;)f[p] *= 10; f[0] += parseInt(u.charAt(l++)); for (var m = 0; m < f.length; ++m)f[m] > 1 && (null !== f[m + 1] && void 0 !== f[m + 1] || (f[m + 1] = 0), f[m + 1] += f[m] >> 1, f[m] &= 1) } return f.reverse() } function pn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function bitXor"); var r = e.constructor; if (e.isNaN() || t.isNaN()) return new r(NaN); if (e.isZero()) return t; if (t.isZero()) return e; if (e.eq(t)) return new r(0); var n = new r(-1); return e.eq(n) ? un(t) : t.eq(n) ? un(e) : e.isFinite() && t.isFinite() ? fn(e, t, (function (e, t) { return e ^ t })) : e.isFinite() || t.isFinite() ? new r(e.isNegative() === t.isNegative() ? 1 / 0 : -1 / 0) : n } function mn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function leftShift"); var r = e.constructor; return e.isNaN() || t.isNaN() || t.isNegative() && !t.isZero() ? new r(NaN) : e.isZero() || t.isZero() ? e : e.isFinite() || t.isFinite() ? t.lt(55) ? e.times(Math.pow(2, t.toNumber()) + "") : e.times(new r(2).pow(t)) : new r(NaN) } function hn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function rightArithShift"); var r = e.constructor; return e.isNaN() || t.isNaN() || t.isNegative() && !t.isZero() ? new r(NaN) : e.isZero() || t.isZero() ? e : t.isFinite() ? t.lt(55) ? e.div(Math.pow(2, t.toNumber()) + "").floor() : e.div(new r(2).pow(t)).floor() : e.isNegative() ? new r(-1) : e.isFinite() ? new r(0) : new r(NaN) } var dn = "number, number"; function yn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function bitAnd"); return e & t } function gn(e) { if (!V(e)) throw new Error("Integer expected in function bitNot"); return ~e } function vn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function bitOr"); return e | t } function xn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function bitXor"); return e ^ t } function bn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function leftShift"); return e << t } function wn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function rightArithShift"); return e >> t } function Nn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function rightLogShift"); return e >>> t } yn.signature = dn, gn.signature = "number", vn.signature = dn, xn.signature = dn, bn.signature = dn, wn.signature = dn, Nn.signature = dn; var Mn = Je("bitAnd", ["typed", "matrix", "equalScalar"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = Ur({ typed: t, equalScalar: n }), a = Fr({ typed: t, equalScalar: n }), o = Mr({ typed: t, equalScalar: n }), s = jr({ typed: t }), u = Sr({ typed: t }); return t("bitAnd", { "number, number": yn, "BigNumber, BigNumber": sn, "SparseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return i(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return i(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return s(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return o(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "Array, any": function (e, t) { return u(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return u(r(t), e, this, !0).valueOf() } }) })), Sn = Je("bitNot", ["typed"], (function (e) { return (0, e.typed)("bitNot", { number: gn, BigNumber: un, "Array | Matrix": function (e) { return bt(e, this) } }) })), En = Je("bitOr", ["typed", "matrix", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.DenseMatrix, a = Br({ typed: t }), o = Dr({ typed: t, equalScalar: n }), s = Rr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("bitOr", { "number, number": vn, "BigNumber, BigNumber": cn, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(r(t), e, this, !0).valueOf() } }) })), An = Je("algorithm07", ["typed", "DenseMatrix"], (function (e) { var t = e.typed, r = e.DenseMatrix; return function (e, i, a) { var o = e._size, s = e._datatype, u = i._size, c = i._datatype; if (o.length !== u.length) throw new we(o.length, u.length); if (o[0] !== u[0] || o[1] !== u[1]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + u + ")"); var f, l, p, m = o[0], h = o[1], d = 0, y = a; "string" == typeof s && s === c && (f = s, d = t.convert(0, f), y = t.find(a, [f, f])); var g = []; for (l = 0; l < m; l++)g[l] = []; var v = [], x = [], b = [], w = []; for (p = 0; p < h; p++) { var N = p + 1; for (n(e, p, b, v, N), n(i, p, w, x, N), l = 0; l < m; l++) { var M = b[l] === N ? v[l] : d, S = w[l] === N ? x[l] : d; g[l][p] = y(M, S) } } return new r({ data: g, size: [m, h], datatype: f }) }; function n(e, t, r, n, i) { for (var a = e._values, o = e._index, s = e._ptr, u = s[t], c = s[t + 1]; u < c; u++) { var f = o[u]; r[f] = i, n[f] = a[u] } } })), On = Je("bitXor", ["typed", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.DenseMatrix, i = Gr({ typed: t }), a = An({ typed: t, DenseMatrix: n }), o = Zr({ typed: t, DenseMatrix: n }), s = jr({ typed: t }), u = Sr({ typed: t }); return t("bitXor", { "number, number": xn, "BigNumber, BigNumber": pn, "SparseMatrix, SparseMatrix": function (e, t) { return a(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return i(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return i(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return s(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return o(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "Array, any": function (e, t) { return u(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return u(r(t), e, this, !0).valueOf() } }) })), Cn = Je("arg", ["typed"], (function (e) { return (0, e.typed)("arg", { number: function (e) { return Math.atan2(0, e) }, BigNumber: function (e) { return e.constructor.atan2(0, e) }, Complex: function (e) { return e.arg() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), _n = Je("conj", ["typed"], (function (e) { return (0, e.typed)("conj", { number: function (e) { return e }, BigNumber: function (e) { return e }, Complex: function (e) { return e.conjugate() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Tn = Je("im", ["typed"], (function (e) { return (0, e.typed)("im", { number: function (e) { return 0 }, BigNumber: function (e) { return e.mul(0) }, Complex: function (e) { return e.im }, "Array | Matrix": function (e) { return bt(e, this) } }) })), qn = Je("re", ["typed"], (function (e) { return (0, e.typed)("re", { number: function (e) { return e }, BigNumber: function (e) { return e }, Complex: function (e) { return e.re }, "Array | Matrix": function (e) { return bt(e, this) } }) })); function zn(e) { return !e } function kn(e, t) { return !(!e && !t) } function In(e, t) { return !!e != !!t } function Bn(e, t) { return !(!e || !t) } zn.signature = "number", kn.signature = "number, number", In.signature = "number, number", Bn.signature = "number, number"; var Dn = Je("not", ["typed"], (function (e) { return (0, e.typed)("not", { number: zn, Complex: function (e) { return 0 === e.re && 0 === e.im }, BigNumber: function (e) { return e.isZero() || e.isNaN() }, Unit: function (e) { return null === e.value || this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Rn = Je("or", ["typed", "matrix", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.DenseMatrix, a = Gr({ typed: t }), o = Vr({ typed: t, equalScalar: n }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("or", { "number, number": kn, "Complex, Complex": function (e, t) { return 0 !== e.re || 0 !== e.im || 0 !== t.re || 0 !== t.im }, "BigNumber, BigNumber": function (e, t) { return !e.isZero() && !e.isNaN() || !t.isZero() && !t.isNaN() }, "Unit, Unit": function (e, t) { return this(e.value || 0, t.value || 0) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(r(t), e, this, !0).valueOf() } }) })), jn = Je("xor", ["typed", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.DenseMatrix, i = Gr({ typed: t }), a = An({ typed: t, DenseMatrix: n }), o = Zr({ typed: t, DenseMatrix: n }), s = jr({ typed: t }), u = Sr({ typed: t }); return t("xor", { "number, number": In, "Complex, Complex": function (e, t) { return (0 !== e.re || 0 !== e.im) != (0 !== t.re || 0 !== t.im) }, "BigNumber, BigNumber": function (e, t) { return (!e.isZero() && !e.isNaN()) != (!t.isZero() && !t.isNaN()) }, "Unit, Unit": function (e, t) { return this(e.value || 0, t.value || 0) }, "SparseMatrix, SparseMatrix": function (e, t) { return a(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return i(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return i(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return s(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return o(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "Array, any": function (e, t) { return u(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return u(r(t), e, this, !0).valueOf() } }) })), Pn = Je("concat", ["typed", "matrix", "isInteger"], (function (e) { var t = e.typed, r = e.matrix, n = e.isInteger; return t("concat", { "...Array | Matrix | number | BigNumber": function (e) { var t, i, s = e.length, u = -1, c = !1, f = []; for (t = 0; t < s; t++) { var l = e[t]; if (p(l) && (c = !0), a(l) || o(l)) { if (t !== s - 1) throw new Error("Dimension must be specified as last argument"); if (i = u, u = l.valueOf(), !n(u)) throw new TypeError("Integer number expected for dimension"); if (u < 0 || t > 0 && u > i) throw new Ne(u, i + 1) } else { var m = Fe(l).valueOf(), h = Me(m); if (f[t] = m, i = u, u = h.length - 1, t > 0 && u !== i) throw new we(i + 1, u + 1) } } if (0 === f.length) throw new SyntaxError("At least one matrix expected"); for (var d = f.shift(); f.length;)d = Un(d, f.shift(), u, 0); return c ? r(d) : d }, "...string": function (e) { return e.join("") } }) })); function Un(e, t, r, n) { if (n < r) { if (e.length !== t.length) throw new we(e.length, t.length); for (var i = [], a = 0; a < e.length; a++)i[a] = Un(e[a], t[a], r, n + 1); return i } return e.concat(t) } var Fn = Je("column", ["typed", "Index", "matrix", "range"], (function (e) { var t = e.typed, r = e.Index, n = e.matrix, i = e.range; return t("column", { "Matrix, number": a, "Array, number": function (e, t) { return a(n(Fe(e)), t).valueOf() } }); function a(e, t) { if (2 !== e.size().length) throw new Error("Only two dimensional matrix is supported"); Ee(t, e.size()[1]); var n = i(0, e.size()[0]), a = new r(n, t); return e.subset(a) } })), Ln = Je("cross", ["typed", "matrix", "subtract", "multiply"], (function (e) { var t = e.typed, r = e.matrix, n = e.subtract, i = e.multiply; return t("cross", { "Matrix, Matrix": function (e, t) { return r(a(e.toArray(), t.toArray())) }, "Matrix, Array": function (e, t) { return r(a(e.toArray(), t)) }, "Array, Matrix": function (e, t) { return r(a(e, t.toArray())) }, "Array, Array": a }); function a(e, t) { var r = Math.max(Me(e).length, Me(t).length); e = Ce(e), t = Ce(t); var a = Me(e), o = Me(t); if (1 !== a.length || 1 !== o.length || 3 !== a[0] || 3 !== o[0]) throw new RangeError("Vectors with length 3 expected (Size A = [" + a.join(", ") + "], B = [" + o.join(", ") + "])"); var s = [n(i(e[1], t[2]), i(e[2], t[1])), n(i(e[2], t[0]), i(e[0], t[2])), n(i(e[0], t[1]), i(e[1], t[0]))]; return r > 1 ? [s] : s } })), Hn = Je("diag", ["typed", "matrix", "DenseMatrix", "SparseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.DenseMatrix, i = e.SparseMatrix; return t("diag", { Array: function (e) { return a(e, 0, Me(e), null) }, "Array, number": function (e, t) { return a(e, t, Me(e), null) }, "Array, BigNumber": function (e, t) { return a(e, t.toNumber(), Me(e), null) }, "Array, string": function (e, t) { return a(e, 0, Me(e), t) }, "Array, number, string": function (e, t, r) { return a(e, t, Me(e), r) }, "Array, BigNumber, string": function (e, t, r) { return a(e, t.toNumber(), Me(e), r) }, Matrix: function (e) { return a(e, 0, e.size(), e.storage()) }, "Matrix, number": function (e, t) { return a(e, t, e.size(), e.storage()) }, "Matrix, BigNumber": function (e, t) { return a(e, t.toNumber(), e.size(), e.storage()) }, "Matrix, string": function (e, t) { return a(e, 0, e.size(), t) }, "Matrix, number, string": function (e, t, r) { return a(e, t, e.size(), r) }, "Matrix, BigNumber, string": function (e, t, r) { return a(e, t.toNumber(), e.size(), r) } }); function a(e, t, a, o) { if (!V(t)) throw new TypeError("Second parameter in function diag must be an integer"); var s = t > 0 ? t : 0, u = t < 0 ? -t : 0; switch (a.length) { case 1: return function (e, t, r, a, o, s) { var u = [a + o, a + s]; if (r && "sparse" !== r && "dense" !== r) throw new TypeError("Unknown matrix type ".concat(r, '"')); var c = "sparse" === r ? i.diagonal(u, e, t) : n.diagonal(u, e, t); return null !== r ? c : c.valueOf() }(e, t, o, a[0], u, s); case 2: return function (e, t, n, i, a, o) { if (p(e)) { var s = e.diagonal(t); return null !== n ? n !== s.storage() ? r(s, n) : s : s.valueOf() } for (var u = Math.min(i[0] - a, i[1] - o), c = [], f = 0; f < u; f++)c[f] = e[f + a][f + o]; return null !== n ? r(c) : c }(e, t, o, a, u, s) }throw new RangeError("Matrix for function diag must be 2 dimensional") } })); function $n(e) { return ($n = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } function Gn(e, t) { return function r() { "object" !== $n(r.cache) && (r.cache = {}); for (var n = [], i = 0; i < arguments.length; i++)n[i] = arguments[i]; var a = t ? t(n) : JSON.stringify(n); return a in r.cache || (r.cache[a] = e.apply(e, n)), r.cache[a] } } function Vn(e) { return Object.keys(e.signatures || {}).reduce((function (e, t) { var r = (t.match(/,/g) || []).length + 1; return Math.max(e, r) }), -1) } var Zn = Je("filter", ["typed"], (function (e) { return (0, e.typed)("filter", { "Array, function": Wn, "Matrix, function": function (e, t) { return e.create(Wn(e.toArray(), t)) }, "Array, RegExp": Ie, "Matrix, RegExp": function (e, t) { return e.create(Ie(e.toArray(), t)) } }) })); function Wn(e, t) { var r = Vn(t); return ke(e, (function (e, n, i) { return 1 === r ? t(e) : 2 === r ? t(e, [n]) : t(e, [n], i) })) } var Jn = Je("flatten", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix; return t("flatten", { Array: function (e) { return Te(Fe(e)) }, Matrix: function (e) { var t = Te(Fe(e.toArray())); return r(t) } }) })), Yn = Je("forEach", ["typed"], (function (e) { return (0, e.typed)("forEach", { "Array, function": Xn, "Matrix, function": function (e, t) { return e.forEach(t) } }) })); function Xn(e, t) { var r = Vn(t); !function n(i, a) { Array.isArray(i) ? ze(i, (function (e, t) { n(e, a.concat(t)) })) : 1 === r ? t(i) : 2 === r ? t(i, a) : t(i, a, e) }(e, []) } var Qn = Je("getMatrixDataType", ["typed"], (function (e) { return (0, e.typed)("getMatrixDataType", { Array: function (e) { return je(e, H) }, Matrix: function (e) { return e.getDataType() } }) })), Kn = Je("identity", ["typed", "config", "matrix", "BigNumber", "DenseMatrix", "SparseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.BigNumber, a = e.DenseMatrix, s = e.SparseMatrix; return t("identity", { "": function () { return "Matrix" === r.matrix ? n([]) : [] }, string: function (e) { return n(e) }, "number | BigNumber": function (e) { return c(e, e, "Matrix" === r.matrix ? "dense" : void 0) }, "number | BigNumber, string": function (e, t) { return c(e, e, t) }, "number | BigNumber, number | BigNumber": function (e, t) { return c(e, t, "Matrix" === r.matrix ? "dense" : void 0) }, "number | BigNumber, number | BigNumber, string": function (e, t, r) { return c(e, t, r) }, Array: function (e) { return u(e) }, "Array, string": function (e, t) { return u(e, t) }, Matrix: function (e) { return u(e.valueOf(), e.storage()) }, "Matrix, string": function (e, t) { return u(e.valueOf(), t) } }); function u(e, t) { switch (e.length) { case 0: return t ? n(t) : []; case 1: return c(e[0], e[0], t); case 2: return c(e[0], e[1], t); default: throw new Error("Vector containing two values expected") } } function c(e, t, r) { var n = o(e) || o(t) ? i : null; if (o(e) && (e = e.toNumber()), o(t) && (t = t.toNumber()), !V(e) || e < 1) throw new Error("Parameters in function identity must be positive integers"); if (!V(t) || t < 1) throw new Error("Parameters in function identity must be positive integers"); var u = n ? new i(1) : 1, c = n ? new n(0) : 0, f = [e, t]; if (r) { if ("sparse" === r) return s.diagonal(f, u, 0, c); if ("dense" === r) return a.diagonal(f, u, 0, c); throw new TypeError('Unknown matrix type "'.concat(r, '"')) } for (var l = Ae([], f, c), p = e < t ? e : t, m = 0; m < p; m++)l[m][m] = u; return l } })), ei = Je("kron", ["typed", "matrix", "multiplyScalar"], (function (e) { var t = e.typed, r = e.matrix, n = e.multiplyScalar; return t("kron", { "Matrix, Matrix": function (e, t) { return r(i(e.toArray(), t.toArray())) }, "Matrix, Array": function (e, t) { return r(i(e.toArray(), t)) }, "Array, Matrix": function (e, t) { return r(i(e, t.toArray())) }, "Array, Array": i }); function i(e, t) { if (1 === Me(e).length && (e = [e]), 1 === Me(t).length && (t = [t]), Me(e).length > 2 || Me(t).length > 2) throw new RangeError("Vectors with dimensions greater then 2 are not supported expected (Size x = " + JSON.stringify(e.length) + ", y = " + JSON.stringify(t.length) + ")"); var r = [], i = []; return e.map((function (e) { return t.map((function (t) { return i = [], r.push(i), e.map((function (e) { return t.map((function (t) { return i.push(n(e, t)) })) })) })) })) && r } })), ti = Je("map", ["typed"], (function (e) { return (0, e.typed)("map", { "Array, function": ri, "Matrix, function": function (e, t) { return e.map(t) } }) })); function ri(e, t) { var r = Vn(t); return function n(i, a) { return Array.isArray(i) ? i.map((function (e, t) { return n(e, a.concat(t)) })) : 1 === r ? t(i) : 2 === r ? t(i, a) : t(i, a, e) }(e, []) } var ni = Je("diff", ["typed", "matrix", "subtract", "number"], (function (e) { var t = e.typed, r = e.matrix, n = e.subtract, i = e.number; return t("diff", { "Array | Matrix": function (e) { return p(e) ? r(o(e.toArray())) : o(e) }, "Array | Matrix, number": function (e, t) { if (!V(t)) throw new RangeError("Dimension must be a whole number"); return p(e) ? r(a(e.toArray(), t)) : a(e, t) }, "Array | Matrix, BigNumber": function (e, t) { return this(e, i(t)) } }); function a(e, t) { if (p(e) && (e = e.toArray()), !Array.isArray(e)) throw RangeError("Array/Matrix does not have that many dimensions"); if (t > 0) { var r = []; return e.forEach((function (e) { r.push(a(e, t - 1)) })), r } if (0 === t) return o(e); throw RangeError("Cannot have negative dimension") } function o(e) { var t = [], r = e.length; if (r < 2) return e; for (var n = 1; n < r; n++)t.push(s(e[n - 1], e[n])); return t } function s(e, t) { p(e) && (e = e.toArray()), p(t) && (t = t.toArray()); var r = Array.isArray(e), i = Array.isArray(t); if (r && i) return function (e, t) { if (e.length !== t.length) throw RangeError("Not all sub-arrays have the same length"); for (var r = [], n = e.length, i = 0; i < n; i++)r.push(s(e[i], t[i])); return r }(e, t); if (!r && !i) return n(t, e); throw TypeError("Cannot calculate difference between 1 array and 1 non-array") } })), ii = Je("ones", ["typed", "config", "matrix", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.BigNumber; return t("ones", { "": function () { return "Array" === r.matrix ? a([]) : a([], "default") }, "...number | BigNumber | string": function (e) { if ("string" == typeof e[e.length - 1]) { var t = e.pop(); return a(e, t) } return "Array" === r.matrix ? a(e) : a(e, "default") }, Array: a, Matrix: function (e) { var t = e.storage(); return a(e.valueOf(), t) }, "Array | Matrix, string": function (e, t) { return a(e.valueOf(), t) } }); function a(e, t) { var r = function (e) { var t = !1; return e.forEach((function (e, r, n) { o(e) && (t = !0, n[r] = e.toNumber()) })), t }(e) ? new i(1) : 1; if (function (e) { e.forEach((function (e) { if ("number" != typeof e || !V(e) || e < 0) throw new Error("Parameters in function ones must be positive integers") })) }(e), t) { var a = n(t); return e.length > 0 ? a.resize(e, r) : a } var s = []; return e.length > 0 ? Ae(s, e, r) : s } })); function ai() { throw new Error('No "bignumber" implementation available') } function oi() { throw new Error('No "fraction" implementation available') } function si() { throw new Error('No "matrix" implementation available') } var ui = Je("range", ["typed", "config", "?matrix", "?bignumber", "smaller", "smallerEq", "larger", "largerEq"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.bignumber, a = e.smaller, o = e.smallerEq, s = e.larger, u = e.largerEq; return t("range", { string: f, "string, boolean": f, "number, number": function (e, t) { return c(l(e, t, 1)) }, "number, number, number": function (e, t, r) { return c(l(e, t, r)) }, "number, number, boolean": function (e, t, r) { return c(r ? p(e, t, 1) : l(e, t, 1)) }, "number, number, number, boolean": function (e, t, r, n) { return c(n ? p(e, t, r) : l(e, t, r)) }, "BigNumber, BigNumber": function (e, t) { return c(m(e, t, new (0, e.constructor)(1))) }, "BigNumber, BigNumber, BigNumber": function (e, t, r) { return c(m(e, t, r)) }, "BigNumber, BigNumber, boolean": function (e, t, r) { var n = e.constructor; return c(r ? h(e, t, new n(1)) : m(e, t, new n(1))) }, "BigNumber, BigNumber, BigNumber, boolean": function (e, t, r, n) { return c(n ? h(e, t, r) : m(e, t, r)) } }); function c(e) { return "Matrix" === r.matrix ? n ? n(e) : si() : e } function f(e, t) { var n = function (e) { var t = e.split(":").map((function (e) { return Number(e) })); if (t.some((function (e) { return isNaN(e) }))) return null; switch (t.length) { case 2: return { start: t[0], end: t[1], step: 1 }; case 3: return { start: t[0], end: t[2], step: t[1] }; default: return null } }(e); if (!n) throw new SyntaxError('String "' + e + '" is no valid range'); return "BigNumber" === r.number ? (void 0 === i && ai(), c((t ? h : m)(i(n.start), i(n.end), i(n.step)))) : c((t ? p : l)(n.start, n.end, n.step)) } function l(e, t, r) { var n = [], i = e; if (r > 0) for (; a(i, t);)n.push(i), i += r; else if (r < 0) for (; s(i, t);)n.push(i), i += r; return n } function p(e, t, r) { var n = [], i = e; if (r > 0) for (; o(i, t);)n.push(i), i += r; else if (r < 0) for (; u(i, t);)n.push(i), i += r; return n } function m(e, t, r) { var n = i(0), o = [], u = e; if (r.gt(n)) for (; a(u, t);)o.push(u), u = u.plus(r); else if (r.lt(n)) for (; s(u, t);)o.push(u), u = u.plus(r); return o } function h(e, t, r) { var n = i(0), a = [], s = e; if (r.gt(n)) for (; o(s, t);)a.push(s), s = s.plus(r); else if (r.lt(n)) for (; u(s, t);)a.push(s), s = s.plus(r); return a } })), ci = Je("reshape", ["typed", "isInteger", "matrix"], (function (e) { var t = e.typed, r = e.isInteger, n = e.matrix; return t("reshape", { "Matrix, Array": function (e, t) { return e.reshape ? e.reshape(t) : n(Oe(e.valueOf(), t)) }, "Array, Array": function (e, t) { return t.forEach((function (e) { if (!r(e)) throw new TypeError("Invalid size for dimension: " + e) })), Oe(e, t) } }) })); function fi(e, t, r, n) { if (!(this instanceof fi)) throw new SyntaxError("Constructor must be called with the new operator"); this.fn = e, this.count = t, this.min = r, this.max = n, this.message = "Wrong number of arguments in function " + e + " (" + t + " provided, " + r + (null != n ? "-" + n : "") + " expected)", this.stack = (new Error).stack } fi.prototype = new Error, fi.prototype.constructor = Error, fi.prototype.name = "ArgumentsError", fi.prototype.isArgumentsError = !0; var li = Je("resize", ["config", "matrix"], (function (e) { var t = e.config, r = e.matrix; return function (e, i, a) { if (2 !== arguments.length && 3 !== arguments.length) throw new fi("resize", arguments.length, 2, 3); if (p(i) && (i = i.valueOf()), o(i[0]) && (i = i.map((function (e) { return o(e) ? e.toNumber() : e }))), p(e)) return e.resize(i, a, !0); if ("string" == typeof e) return n(e, i, a); var s = !Array.isArray(e) && "Array" !== t.matrix; if (0 === i.length) { for (; Array.isArray(e);)e = e[0]; return Fe(e) } Array.isArray(e) || (e = [e]); var u = Ae(e = Fe(e), i, a); return s ? r(u) : u }; function n(e, t, r) { if (void 0 !== r) { if ("string" != typeof r || 1 !== r.length) throw new TypeError("Single character expected as defaultValue") } else r = " "; if (1 !== t.length) throw new we(t.length, 1); var n = t[0]; if ("number" != typeof n || !V(n)) throw new TypeError("Invalid size, must contain positive integers (size: " + ge(t) + ")"); if (e.length > n) return e.substring(0, n); if (e.length < n) { for (var i = e, a = 0, o = n - e.length; a < o; a++)i += r; return i } return e } })), pi = Je("rotate", ["typed", "multiply", "rotationMatrix"], (function (e) { var t = e.typed, r = e.multiply, n = e.rotationMatrix; return t("rotate", { "Array , number | BigNumber | Complex | Unit": function (e, t) { return i(e, 2), r(n(t), e).toArray() }, "Matrix , number | BigNumber | Complex | Unit": function (e, t) { return i(e, 2), r(n(t), e) }, "Array, number | BigNumber | Complex | Unit, Array | Matrix": function (e, t, a) { return i(e, 3), r(n(t, a), e) }, "Matrix, number | BigNumber | Complex | Unit, Array | Matrix": function (e, t, a) { return i(e, 3), r(n(t, a), e) } }); function i(e, t) { var r = Array.isArray(e) ? Me(e) : e.size(); if (r.length > 2) throw new RangeError("Vector must be of dimensions 1x".concat(t)); if (2 === r.length && 1 !== r[1]) throw new RangeError("Vector must be of dimensions 1x".concat(t)); if (r[0] !== t) throw new RangeError("Vector must be of dimensions 1x".concat(t)) } })), mi = Je("rotationMatrix", ["typed", "config", "multiplyScalar", "addScalar", "unaryMinus", "norm", "matrix", "BigNumber", "DenseMatrix", "SparseMatrix", "cos", "sin"], (function (e) { var t = e.typed, r = e.config, n = e.multiplyScalar, i = e.addScalar, a = e.unaryMinus, s = e.norm, u = e.BigNumber, c = e.matrix, f = e.DenseMatrix, l = e.SparseMatrix, p = e.cos, m = e.sin; return t("rotationMatrix", { "": function () { return "Matrix" === r.matrix ? c([]) : [] }, string: function (e) { return c(e) }, "number | BigNumber | Complex | Unit": function (e) { return h(e, "Matrix" === r.matrix ? "dense" : void 0) }, "number | BigNumber | Complex | Unit, string": function (e, t) { return h(e, t) }, "number | BigNumber | Complex | Unit, Array": function (e, t) { var r = c(t); return d(r), v(e, r, void 0) }, "number | BigNumber | Complex | Unit, Matrix": function (e, t) { d(t); var n = t.storage() || ("Matrix" === r.matrix ? "dense" : void 0); return v(e, t, n) }, "number | BigNumber | Complex | Unit, Array, string": function (e, t, r) { var n = c(t); return d(n), v(e, n, r) }, "number | BigNumber | Complex | Unit, Matrix, string": function (e, t, r) { return d(t), v(e, t, r) } }); function h(e, t) { var r = o(e) ? new u(-1) : -1, i = p(e), a = m(e); return g([[i, n(r, a)], [a, i]], t) } function d(e) { var t = e.size(); if (t.length < 1 || 3 !== t[0]) throw new RangeError("Vector must be of dimensions 1x3") } function y(e) { return e.reduce((function (e, t) { return n(e, t) })) } function g(e, t) { if (t) { if ("sparse" === t) return new l(e); if ("dense" === t) return new f(e); throw new TypeError('Unknown matrix type "'.concat(t, '"')) } return e } function v(e, t, r) { var n = s(t); if (0 === n) throw new RangeError("Rotation around zero vector"); var c = o(e) ? u : null, f = c ? new c(1) : 1, l = c ? new c(-1) : -1, h = c ? new c(t.get([0]) / n) : t.get([0]) / n, d = c ? new c(t.get([1]) / n) : t.get([1]) / n, v = c ? new c(t.get([2]) / n) : t.get([2]) / n, x = p(e), b = i(f, a(x)), w = m(e); return g([[i(x, y([h, h, b])), i(y([h, d, b]), y([l, v, w])), i(y([h, v, b]), y([d, w]))], [i(y([h, d, b]), y([v, w])), i(x, y([d, d, b])), i(y([d, v, b]), y([l, h, w]))], [i(y([h, v, b]), y([l, d, w])), i(y([d, v, b]), y([h, w])), i(x, y([v, v, b]))]], r) } })), hi = Je("row", ["typed", "Index", "matrix", "range"], (function (e) { var t = e.typed, r = e.Index, n = e.matrix, i = e.range; return t("row", { "Matrix, number": a, "Array, number": function (e, t) { return a(n(Fe(e)), t).valueOf() } }); function a(e, t) { if (2 !== e.size().length) throw new Error("Only two dimensional matrix is supported"); Ee(t, e.size()[0]); var n = i(0, e.size()[1]), a = new r(t, n); return e.subset(a) } })), di = Je("size", ["typed", "config", "?matrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix; return t("size", { Matrix: function (e) { return e.create(e.size()) }, Array: Me, string: function (e) { return "Array" === r.matrix ? [e.length] : n([e.length]) }, "number | Complex | BigNumber | Unit | boolean | null": function (e) { return "Array" === r.matrix ? [] : n ? n([]) : si() } }) })), yi = Je("squeeze", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix; return t("squeeze", { Array: function (e) { return Ce(Fe(e)) }, Matrix: function (e) { var t = Ce(e.toArray()); return Array.isArray(t) ? r(t) : t }, any: function (e) { return Fe(e) } }) })); function gi(e) { return (gi = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } function vi(e, t) { if (Ni(e) && bi(e, t)) return e[t]; if ("function" == typeof e[t] && wi(e, t)) throw new Error('Cannot access method "' + t + '" as a property'); throw new Error('No access to property "' + t + '"') } function xi(e, t, r) { if (Ni(e) && bi(e, t)) return e[t] = r, r; throw new Error('No access to property "' + t + '"') } function bi(e, t) { return !(!e || "object" !== gi(e)) && (!!Ze(Mi, t) || !(t in Object.prototype) && !(t in Function.prototype)) } function wi(e, t) { return null != e && "function" == typeof e[t] && (!(Ze(e, t) && Object.getPrototypeOf && t in Object.getPrototypeOf(e)) && (!!Ze(Si, t) || !(t in Object.prototype) && !(t in Function.prototype))) } function Ni(e) { return "object" === gi(e) && e && e.constructor === Object } var Mi = { length: !0, name: !0 }, Si = { toString: !0, valueOf: !0, toLocaleString: !0 }, Ei = Je("subset", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix; return t("subset", { "Array, Index": function (e, t) { var n = r(e).subset(t); return t.isScalar() ? n : n.valueOf() }, "Matrix, Index": function (e, t) { return e.subset(t) }, "Object, Index": Ci, "string, Index": Ai, "Array, Index, any": function (e, t, n) { return r(Fe(e)).subset(t, n, void 0).valueOf() }, "Array, Index, any, any": function (e, t, n, i) { return r(Fe(e)).subset(t, n, i).valueOf() }, "Matrix, Index, any": function (e, t, r) { return e.clone().subset(t, r) }, "Matrix, Index, any, any": function (e, t, r, n) { return e.clone().subset(t, r, n) }, "string, Index, string": Oi, "string, Index, string, string": Oi, "Object, Index, any": _i }) })); function Ai(e, t) { if (!g(t)) throw new TypeError("Index expected"); if (1 !== t.size().length) throw new we(t.size().length, 1); var r = e.length; Ee(t.min()[0], r), Ee(t.max()[0], r); var n = t.dimension(0), i = ""; return n.forEach((function (t) { i += e.charAt(t) })), i } function Oi(e, t, r, n) { if (!t || !0 !== t.isIndex) throw new TypeError("Index expected"); if (1 !== t.size().length) throw new we(t.size().length, 1); if (void 0 !== n) { if ("string" != typeof n || 1 !== n.length) throw new TypeError("Single character expected as defaultValue") } else n = " "; var i = t.dimension(0); if (i.size()[0] !== r.length) throw new we(i.size()[0], r.length); var a = e.length; Ee(t.min()[0]), Ee(t.max()[0]); for (var o = [], s = 0; s < a; s++)o[s] = e.charAt(s); if (i.forEach((function (e, t) { o[e] = r.charAt(t[0]) })), o.length > a) for (var u = a - 1, c = o.length; u < c; u++)o[u] || (o[u] = n); return o.join("") } function Ci(e, t) { if (1 !== t.size().length) throw new we(t.size(), 1); var r = t.dimension(0); if ("string" != typeof r) throw new TypeError("String expected as index to retrieve an object property"); return vi(e, r) } function _i(e, t, r) { if (1 !== t.size().length) throw new we(t.size(), 1); var n = t.dimension(0); if ("string" != typeof n) throw new TypeError("String expected as index to retrieve an object property"); var i = Fe(e); return xi(i, n, r), i } var Ti = Je("transpose", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix; return t("transpose", { Array: function (e) { return this(r(e)).valueOf() }, Matrix: function (e) { var t, r = e.size(); switch (r.length) { case 1: t = e.clone(); break; case 2: var n = r[0], i = r[1]; if (0 === i) throw new RangeError("Cannot transpose a 2D matrix with no columns (size: " + ge(r) + ")"); switch (e.storage()) { case "dense": t = function (e, t, r) { for (var n, i = e._data, a = [], o = 0; o < r; o++) { n = a[o] = []; for (var s = 0; s < t; s++)n[s] = Fe(i[s][o]) } return e.createDenseMatrix({ data: a, size: [r, t], datatype: e._datatype }) }(e, n, i); break; case "sparse": t = function (e, t, r) { for (var n, i, a, o = e._values, s = e._index, u = e._ptr, c = o ? [] : void 0, f = [], l = [], p = [], m = 0; m < t; m++)p[m] = 0; for (n = 0, i = s.length; n < i; n++)p[s[n]]++; for (var h = 0, d = 0; d < t; d++)l.push(h), h += p[d], p[d] = l[d]; for (l.push(h), a = 0; a < r; a++)for (var y = u[a], g = u[a + 1], v = y; v < g; v++) { var x = p[s[v]]++; f[x] = a, o && (c[x] = Fe(o[v])) } return e.createSparseMatrix({ values: c, index: f, ptr: l, size: [r, t], datatype: e._datatype }) }(e, n, i) }break; default: throw new RangeError("Matrix must be a vector or two dimensional (size: " + ge(this._size) + ")") }return t }, any: function (e) { return Fe(e) } }) })), qi = Je("ctranspose", ["typed", "transpose", "conj"], (function (e) { var t = e.typed, r = e.transpose, n = e.conj; return t("ctranspose", { any: function (e) { return n(r(e)) } }) })), zi = Je("zeros", ["typed", "config", "matrix", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.BigNumber; return t("zeros", { "": function () { return "Array" === r.matrix ? a([]) : a([], "default") }, "...number | BigNumber | string": function (e) { if ("string" == typeof e[e.length - 1]) { var t = e.pop(); return a(e, t) } return "Array" === r.matrix ? a(e) : a(e, "default") }, Array: a, Matrix: function (e) { var t = e.storage(); return a(e.valueOf(), t) }, "Array | Matrix, string": function (e, t) { return a(e.valueOf(), t) } }); function a(e, t) { var r = function (e) { var t = !1; return e.forEach((function (e, r, n) { o(e) && (t = !0, n[r] = e.toNumber()) })), t }(e) ? new i(0) : 0; if (function (e) { e.forEach((function (e) { if ("number" != typeof e || !V(e) || e < 0) throw new Error("Parameters in function zeros must be positive integers") })) }(e), t) { var a = n(t); return e.length > 0 ? a.resize(e, r) : a } var s = []; return e.length > 0 ? Ae(s, e, r) : s } })), ki = Je("erf", ["typed"], (function (e) { return (0, e.typed)("name", { number: function (e) { var t = Math.abs(e); return t >= ji ? Z(e) : t <= Ii ? Z(e) * function (e) { var t, r = e * e, n = Di[0][4] * r, i = r; for (t = 0; t < 3; t += 1)n = (n + Di[0][t]) * r, i = (i + Ri[0][t]) * r; return e * (n + Di[0][3]) / (i + Ri[0][3]) }(t) : t <= 4 ? Z(e) * (1 - function (e) { var t, r = Di[1][8] * e, n = e; for (t = 0; t < 7; t += 1)r = (r + Di[1][t]) * e, n = (n + Ri[1][t]) * e; var i = (r + Di[1][7]) / (n + Ri[1][7]), a = parseInt(16 * e) / 16, o = (e - a) * (e + a); return Math.exp(-a * a) * Math.exp(-o) * i }(t)) : Z(e) * (1 - function (e) { var t, r = 1 / (e * e), n = Di[2][5] * r, i = r; for (t = 0; t < 4; t += 1)n = (n + Di[2][t]) * r, i = (i + Ri[2][t]) * r; var a = r * (n + Di[2][4]) / (i + Ri[2][4]); a = (Bi - a) / e, r = parseInt(16 * e) / 16; var o = (e - r) * (e + r); return Math.exp(-r * r) * Math.exp(-o) * a }(t)) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Ii = .46875, Bi = .5641895835477563, Di = [[3.1611237438705655, 113.86415415105016, 377.485237685302, 3209.3775891384694, .18577770618460315], [.5641884969886701, 8.883149794388377, 66.11919063714163, 298.6351381974001, 881.952221241769, 1712.0476126340707, 2051.0783778260716, 1230.3393547979972, 2.1531153547440383e-8], [.30532663496123236, .36034489994980445, .12578172611122926, .016083785148742275, .0006587491615298378, .016315387137302097]], Ri = [[23.601290952344122, 244.02463793444417, 1282.6165260773723, 2844.236833439171], [15.744926110709835, 117.6939508913125, 537.1811018620099, 1621.3895745666903, 3290.7992357334597, 4362.619090143247, 3439.3676741437216, 1230.3393548037495], [2.568520192289822, 1.8729528499234604, .5279051029514285, .06051834131244132, .0023352049762686918]], ji = Math.pow(2, 53), Pi = Je("mode", ["typed", "isNaN", "isNumeric"], (function (e) { var t = e.typed, r = e.isNaN, n = e.isNumeric; return t("mode", { "Array | Matrix": i, "...": function (e) { return i(e) } }); function i(e) { if (0 === (e = Te(e.valueOf())).length) throw new Error("Cannot calculate mode of an empty array"); for (var t = {}, i = [], a = 0, o = 0; o < e.length; o++) { var s = e[o]; if (n(s) && r(s)) throw new Error("Cannot calculate mode of an array containing NaN values"); s in t || (t[s] = 0), t[s]++, t[s] === a ? i.push(s) : t[s] > a && (a = t[s], i = [s]) } return i } })); function Ui(e, t, r) { var n; return -1 !== String(e).indexOf("Unexpected type") ? (n = arguments.length > 2 ? " (type: " + H(r) + ", value: " + JSON.stringify(r) + ")" : " (type: " + e.data.actual + ")", new TypeError("Cannot calculate " + t + ", unexpected type of argument" + n)) : -1 !== String(e).indexOf("complex numbers") ? (n = arguments.length > 2 ? " (type: " + H(r) + ", value: " + JSON.stringify(r) + ")" : "", new TypeError("Cannot calculate " + t + ", no ordering relation is defined for complex numbers" + n)) : e } var Fi = Je("prod", ["typed", "config", "multiplyScalar", "numeric"], (function (e) { var t = e.typed, r = e.config, n = e.multiplyScalar, i = e.numeric; return t("prod", { "Array | Matrix": a, "Array | Matrix, number | BigNumber": function (e, t) { throw new Error("prod(A, dim) is not yet supported") }, "...": function (e) { return a(e) } }); function a(e) { var t; if (xt(e, (function (e) { try { t = void 0 === t ? e : n(t, e) } catch (t) { throw Ui(t, "prod", e) } })), "string" == typeof t && (t = i(t, r.number)), void 0 === t) throw new Error("Cannot calculate prod of an empty array"); return t } })), Li = Je("format", ["typed"], (function (e) { return (0, e.typed)("format", { any: ge, "any, Object | function | number": ge }) })); function Hi(e) { var t = { 2: "0b", 8: "0o", 16: "0x" }[e]; return function (r) { if (r > Math.pow(2, 31) - 1 || r < -Math.pow(2, 31)) throw new Error("Value must be in range [-2^31, 2^31-1]"); if (!V(r)) throw new Error("Value must be an integer"); return r < 0 && (r += Math.pow(2, 32)), "".concat(t).concat(r.toString(e)) } } var $i = ["typed"]; function Gi(e, t) { return Je(e, $i, (function (r) { return (0, r.typed)(e, { number: Hi(t) }) })) } var Vi = Gi("bin", 2), Zi = Gi("oct", 8), Wi = Gi("hex", 16), Ji = Je("print", ["typed"], (function (e) { return (0, e.typed)("print", { "string, Object | Array": Yi, "string, Object | Array, number | Object": Yi }) })); function Yi(e, t, r) { return e.replace(/\$([\w.]+)/g, (function (e, n) { for (var i = n.split("."), a = t[i.shift()]; i.length && void 0 !== a;) { var o = i.shift(); a = o ? a[o] : a + "." } return void 0 !== a ? f(a) ? a : ge(a, r) : e })) } var Xi = Je("to", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix, n = jr({ typed: t }), i = Sr({ typed: t }); return t("to", { "Unit, Unit | string": function (e, t) { return e.to(t) }, "Matrix, Matrix": function (e, t) { return n(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "Matrix, any": function (e, t) { return i(e, t, this, !1) }, "any, Matrix": function (e, t) { return i(t, e, this, !0) }, "Array, any": function (e, t) { return i(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return i(r(t), e, this, !0).valueOf() } }) })), Qi = Je("isPrime", ["typed"], (function (e) { return (0, e.typed)("isPrime", { number: function (e) { if (0 * e != 0) return !1; if (e <= 3) return e > 1; if (e % 2 == 0 || e % 3 == 0) return !1; for (var t = 5; t * t <= e; t += 6)if (e % t == 0 || e % (t + 2) == 0) return !1; return !0 }, BigNumber: function (e) { if (0 * e.toNumber() != 0) return !1; if (e.lte(3)) return e.gt(1); if (e.mod(2).eq(0) || e.mod(3).eq(0)) return !1; for (var t = 5; e.gte(t * t); t += 6)if (e.mod(t).eq(0) || e.mod(t + 2).eq(0)) return !1; return !0 }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Ki = Je("numeric", ["number", "?bignumber", "?fraction"], (function (e) { var t = e.number, r = e.bignumber, n = e.fraction, i = { string: !0, number: !0, BigNumber: !0, Fraction: !0 }, a = { number: function (e) { return t(e) }, BigNumber: r ? function (e) { return r(e) } : ai, Fraction: n ? function (e) { return n(e) } : oi }; return function (e, t) { var r = H(e); if (!(r in i)) throw new TypeError("Cannot convert " + e + ' of type "' + r + '"; valid input types are ' + Object.keys(i).join(", ")); if (!(t in a)) throw new TypeError("Cannot convert " + e + ' to type "' + t + '"; valid output types are ' + Object.keys(a).join(", ")); return t === r ? e : a[t](e) } })), ea = Je("divideScalar", ["typed", "numeric"], (function (e) { var t = e.typed, r = e.numeric; return t("divideScalar", { "number, number": function (e, t) { return e / t }, "Complex, Complex": function (e, t) { return e.div(t) }, "BigNumber, BigNumber": function (e, t) { return e.div(t) }, "Fraction, Fraction": function (e, t) { return e.div(t) }, "Unit, number | Fraction | BigNumber": function (e, t) { var n = e.clone(), i = r(1, H(t)); return n.value = this(null === n.value ? n._normalize(i) : n.value, t), n }, "number | Fraction | BigNumber, Unit": function (e, t) { var n = t.clone(); n = n.pow(-1); var i = r(1, H(e)); return n.value = this(e, null === t.value ? t._normalize(i) : t.value), n }, "Unit, Unit": function (e, t) { return e.divide(t) } }) })), ta = Je("pow", ["typed", "config", "identity", "multiply", "matrix", "fraction", "number", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.identity, i = e.multiply, a = e.matrix, o = e.number, s = e.fraction, u = e.Complex; return t("pow", { "number, number": c, "Complex, Complex": function (e, t) { return e.pow(t) }, "BigNumber, BigNumber": function (e, t) { return t.isInteger() || e >= 0 || r.predictable ? e.pow(t) : new u(e.toNumber(), 0).pow(t.toNumber(), 0) }, "Fraction, Fraction": function (e, t) { if (1 !== t.d) { if (r.predictable) throw new Error("Function pow does not support non-integer exponents for fractions."); return c(e.valueOf(), t.valueOf()) } return e.pow(t) }, "Array, number": f, "Array, BigNumber": function (e, t) { return f(e, t.toNumber()) }, "Matrix, number": l, "Matrix, BigNumber": function (e, t) { return l(e, t.toNumber()) }, "Unit, number | BigNumber": function (e, t) { return e.pow(t) } }); function c(e, t) { if (r.predictable && !V(t) && e < 0) try { var n = s(t), i = o(n); if ((t === i || Math.abs((t - i) / t) < 1e-14) && n.d % 2 == 1) return (n.n % 2 == 0 ? 1 : -1) * Math.pow(-e, t) } catch (e) { } return r.predictable && (e < -1 && t === 1 / 0 || e > -1 && e < 0 && t === -1 / 0) ? NaN : V(t) || e >= 0 || r.predictable ? hr(e, t) : e * e < 1 && t === 1 / 0 || e * e > 1 && t === -1 / 0 ? 0 : new u(e, 0).pow(t, 0) } function f(e, t) { if (!V(t) || t < 0) throw new TypeError("For A^b, b must be a positive integer (value is " + t + ")"); var r = Me(e); if (2 !== r.length) throw new Error("For A^b, A must be 2 dimensional (A has " + r.length + " dimensions)"); if (r[0] !== r[1]) throw new Error("For A^b, A must be square (size is " + r[0] + "x" + r[1] + ")"); for (var a = n(r[0]).valueOf(), o = e; t >= 1;)1 == (1 & t) && (a = i(o, a)), t >>= 1, o = i(o, o); return a } function l(e, t) { return a(f(e.valueOf(), t)) } })); function ra(e, t) { var r = Object.keys(e); if (Object.getOwnPropertySymbols) { var n = Object.getOwnPropertySymbols(e); t && (n = n.filter((function (t) { return Object.getOwnPropertyDescriptor(e, t).enumerable }))), r.push.apply(r, n) } return r } function na(e) { for (var t = 1; t < arguments.length; t++) { var r = null != arguments[t] ? arguments[t] : {}; t % 2 ? ra(Object(r), !0).forEach((function (t) { ia(e, t, r[t]) })) : Object.getOwnPropertyDescriptors ? Object.defineProperties(e, Object.getOwnPropertyDescriptors(r)) : ra(Object(r)).forEach((function (t) { Object.defineProperty(e, t, Object.getOwnPropertyDescriptor(r, t)) })) } return e } function ia(e, t, r) { return t in e ? Object.defineProperty(e, t, { value: r, enumerable: !0, configurable: !0, writable: !0 }) : e[t] = r, e } var aa = "Number of decimals in function round must be an integer", oa = Je("round", ["typed", "matrix", "equalScalar", "zeros", "BigNumber", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.BigNumber, o = e.DenseMatrix, s = Mr({ typed: t, equalScalar: n }), u = Zr({ typed: t, DenseMatrix: o }), c = Sr({ typed: t }); return t("round", na(na({}, sa), {}, { Complex: function (e) { return e.round() }, "Complex, number": function (e, t) { if (t % 1) throw new TypeError(aa); return e.round(t) }, "Complex, BigNumber": function (e, t) { if (!t.isInteger()) throw new TypeError(aa); var r = t.toNumber(); return e.round(r) }, "number, BigNumber": function (e, t) { if (!t.isInteger()) throw new TypeError(aa); return new a(e).toDecimalPlaces(t.toNumber()) }, BigNumber: function (e) { return e.toDecimalPlaces(0) }, "BigNumber, BigNumber": function (e, t) { if (!t.isInteger()) throw new TypeError(aa); return e.toDecimalPlaces(t.toNumber()) }, Fraction: function (e) { return e.round() }, "Fraction, number": function (e, t) { if (t % 1) throw new TypeError(aa); return e.round(t) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "SparseMatrix, number | BigNumber": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return c(e, t, this, !1) }, "number | Complex | BigNumber, SparseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : u(t, e, this, !0) }, "number | Complex | BigNumber, DenseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : c(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return c(r(e), t, this, !1).valueOf() }, "number | Complex | BigNumber, Array": function (e, t) { return c(r(t), e, this, !0).valueOf() } })) })), sa = { number: dr, "number, number": function (e, t) { if (!V(t)) throw new TypeError(aa); if (t < 0 || t > 15) throw new Error("Number of decimals in function round must be in te range of 0-15"); return dr(e, t) } }, ua = Je("log", ["config", "typed", "divideScalar", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.divideScalar, i = e.Complex; return t("log", { number: function (e) { return e >= 0 || r.predictable ? or(e) : new i(e, 0).log() }, Complex: function (e) { return e.log() }, BigNumber: function (e) { return !e.isNegative() || r.predictable ? e.ln() : new i(e.toNumber(), 0).log() }, "Array | Matrix": function (e) { return bt(e, this) }, "any, any": function (e, t) { return n(this(e), this(t)) } }) })), ca = Je("log1p", ["typed", "config", "divideScalar", "log", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.divideScalar, i = e.log, a = e.Complex; return t("log1p", { number: function (e) { return e >= -1 || r.predictable ? Y(e) : o(new a(e, 0)) }, Complex: o, BigNumber: function (e) { var t = e.plus(1); return !t.isNegative() || r.predictable ? t.ln() : o(new a(e.toNumber(), 0)) }, "Array | Matrix": function (e) { return bt(e, this) }, "any, any": function (e, t) { return n(this(e), i(t)) } }); function o(e) { var t = e.re + 1; return new a(Math.log(Math.sqrt(t * t + e.im * e.im)), Math.atan2(e.im, t)) } })), fa = Je("nthRoots", ["config", "typed", "divideScalar", "Complex"], (function (e) { var t = e.typed, r = (e.config, e.divideScalar, e.Complex), n = [function (e) { return new r(e, 0) }, function (e) { return new r(0, e) }, function (e) { return new r(-e, 0) }, function (e) { return new r(0, -e) }]; function i(e, t) { if (t < 0) throw new Error("Root must be greater than zero"); if (0 === t) throw new Error("Root must be non-zero"); if (t % 1 != 0) throw new Error("Root must be an integer"); if (0 === e || 0 === e.abs()) return [new r(0, 0)]; var i, a = "number" == typeof e; (a || 0 === e.re || 0 === e.im) && (i = a ? 2 * +(e < 0) : 0 === e.im ? 2 * +(e.re < 0) : 2 * +(e.im < 0) + 1); for (var o = e.arg(), s = e.abs(), u = [], c = Math.pow(s, 1 / t), f = 0; f < t; f++) { var l = (i + 4 * f) / t; l !== Math.round(l) ? u.push(new r({ r: c, phi: (o + 2 * Math.PI * f) / t })) : u.push(n[l % 4](c)) } return u } return t("nthRoots", { Complex: function (e) { return i(e, 2) }, "Complex, number": i }) })), la = Je("dotPow", ["typed", "equalScalar", "matrix", "pow", "DenseMatrix"], (function (e) { var t = e.typed, r = e.equalScalar, n = e.matrix, i = e.pow, a = e.DenseMatrix, o = Gr({ typed: t }), s = An({ typed: t, DenseMatrix: a }), u = Mr({ typed: t, equalScalar: r }), c = Zr({ typed: t, DenseMatrix: a }), f = jr({ typed: t }), l = Sr({ typed: t }); return t("dotPow", { "any, any": i, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, i, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, i, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, i, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return f(e, t, i) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return l(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return c(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return l(t, e, this, !0) }, "Array, any": function (e, t) { return l(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return l(n(t), e, this, !0).valueOf() } }) })), pa = Je("dotDivide", ["typed", "matrix", "equalScalar", "divideScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.divideScalar, a = e.DenseMatrix, o = Ur({ typed: t, equalScalar: n }), s = Gr({ typed: t }), u = An({ typed: t, DenseMatrix: a }), c = Mr({ typed: t, equalScalar: n }), f = Zr({ typed: t, DenseMatrix: a }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("dotDivide", { "any, any": i, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, i, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, i, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return s(e, t, i, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, i) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return c(e, t, i, !1) }, "DenseMatrix, any": function (e, t) { return p(e, t, i, !1) }, "any, SparseMatrix": function (e, t) { return f(t, e, i, !0) }, "any, DenseMatrix": function (e, t) { return p(t, e, i, !0) }, "Array, any": function (e, t) { return p(r(e), t, i, !1).valueOf() }, "any, Array": function (e, t) { return p(r(t), e, i, !0).valueOf() } }) })); function ma(e) { var t = e.DenseMatrix; return function (e, r, n) { var i = e.size(); if (2 !== i.length) throw new RangeError("Matrix must be two dimensional (size: " + ge(i) + ")"); var a = i[0]; if (a !== i[1]) throw new RangeError("Matrix must be square (size: " + ge(i) + ")"); var o = []; if (p(r)) { var s = r.size(), u = r._data; if (1 === s.length) { if (s[0] !== a) throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); for (var c = 0; c < a; c++)o[c] = [u[c]]; return new t({ data: o, size: [a, 1], datatype: r._datatype }) } if (2 === s.length) { if (s[0] !== a || 1 !== s[1]) throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); if (h(r)) { if (n) { o = []; for (var f = 0; f < a; f++)o[f] = [u[f][0]]; return new t({ data: o, size: [a, 1], datatype: r._datatype }) } return r } if (d(r)) { for (var m = 0; m < a; m++)o[m] = [0]; for (var y = r._values, g = r._index, v = r._ptr, x = v[1], b = v[0]; b < x; b++) { o[g[b]][0] = y[b] } return new t({ data: o, size: [a, 1], datatype: r._datatype }) } } throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.") } if (l(r)) { var w = Me(r); if (1 === w.length) { if (w[0] !== a) throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); for (var N = 0; N < a; N++)o[N] = [r[N]]; return new t({ data: o, size: [a, 1] }) } if (2 === w.length) { if (w[0] !== a || 1 !== w[1]) throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); for (var M = 0; M < a; M++)o[M] = [r[M][0]]; return new t({ data: o, size: [a, 1] }) } throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.") } } } var ha = Je("lsolve", ["typed", "matrix", "divideScalar", "multiplyScalar", "subtract", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.multiplyScalar, a = e.subtract, o = e.equalScalar, s = e.DenseMatrix, u = ma({ DenseMatrix: s }); return t("lsolve", { "SparseMatrix, Array | Matrix": function (e, t) { return function (e, t) { for (var r = (t = u(e, t, !0))._data, c = e._size[0], f = e._size[1], l = e._values, p = e._index, m = e._ptr, h = [], d = 0; d < f; d++) { var y = r[d][0] || 0; if (o(y, 0)) h[d] = [0]; else { for (var g = 0, v = [], x = [], b = m[d], w = m[d + 1], N = b; N < w; N++) { var M = p[N]; M === d ? g = l[N] : M > d && (v.push(l[N]), x.push(M)) } if (o(g, 0)) throw new Error("Linear system cannot be solved since matrix is singular"); for (var S = n(y, g), E = 0, A = x.length; E < A; E++) { var O = x[E]; r[O] = [a(r[O][0] || 0, i(S, v[E]))] } h[d] = [S] } } return new s({ data: h, size: [c, 1] }) }(e, t) }, "DenseMatrix, Array | Matrix": function (e, t) { return c(e, t) }, "Array, Array | Matrix": function (e, t) { return c(r(e), t).valueOf() } }); function c(e, t) { for (var r = (t = u(e, t, !0))._data, c = e._size[0], f = e._size[1], l = [], p = e._data, m = 0; m < f; m++) { var h = r[m][0] || 0, d = void 0; if (o(h, 0)) d = 0; else { var y = p[m][m]; if (o(y, 0)) throw new Error("Linear system cannot be solved since matrix is singular"); d = n(h, y); for (var g = m + 1; g < c; g++)r[g] = [a(r[g][0] || 0, i(d, p[g][m]))] } l[m] = [d] } return new s({ data: l, size: [c, 1] }) } })), da = Je("usolve", ["typed", "matrix", "divideScalar", "multiplyScalar", "subtract", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.multiplyScalar, a = e.subtract, o = e.equalScalar, s = e.DenseMatrix, u = ma({ DenseMatrix: s }); return t("usolve", { "SparseMatrix, Array | Matrix": function (e, t) { return function (e, t) { for (var r = (t = u(e, t, !0))._data, c = e._size[0], f = e._size[1], l = e._values, p = e._index, m = e._ptr, h = [], d = f - 1; d >= 0; d--) { var y = r[d][0] || 0; if (o(y, 0)) h[d] = [0]; else { for (var g = 0, v = [], x = [], b = m[d], w = m[d + 1] - 1; w >= b; w--) { var N = p[w]; N === d ? g = l[w] : N < d && (v.push(l[w]), x.push(N)) } if (o(g, 0)) throw new Error("Linear system cannot be solved since matrix is singular"); for (var M = n(y, g), S = 0, E = x.length; S < E; S++) { var A = x[S]; r[A] = [a(r[A][0], i(M, v[S]))] } h[d] = [M] } } return new s({ data: h, size: [c, 1] }) }(e, t) }, "DenseMatrix, Array | Matrix": function (e, t) { return c(e, t) }, "Array, Array | Matrix": function (e, t) { return c(r(e), t).valueOf() } }); function c(e, t) { for (var r = (t = u(e, t, !0))._data, c = e._size[0], f = e._size[1], l = [], p = e._data, m = f - 1; m >= 0; m--) { var h = r[m][0] || 0, d = void 0; if (o(h, 0)) d = 0; else { var y = p[m][m]; if (o(y, 0)) throw new Error("Linear system cannot be solved since matrix is singular"); d = n(h, y); for (var g = m - 1; g >= 0; g--)r[g] = [a(r[g][0] || 0, i(d, p[g][m]))] } l[m] = [d] } return new s({ data: l, size: [c, 1] }) } })); function ya(e) { return function (e) { if (Array.isArray(e)) return ga(e) }(e) || function (e) { if ("undefined" != typeof Symbol && Symbol.iterator in Object(e)) return Array.from(e) }(e) || function (e, t) { if (!e) return; if ("string" == typeof e) return ga(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return ga(e, t) }(e) || function () { throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function ga(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var va = Je("lsolveAll", ["typed", "matrix", "divideScalar", "multiplyScalar", "subtract", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.multiplyScalar, a = e.subtract, o = e.equalScalar, s = e.DenseMatrix, u = ma({ DenseMatrix: s }); return t("lsolveAll", { "SparseMatrix, Array | Matrix": function (e, t) { return function (e, t) { for (var r = [u(e, t, !0)._data.map((function (e) { return e[0] }))], c = e._size[0], f = e._size[1], l = e._values, p = e._index, m = e._ptr, h = 0; h < f; h++)for (var d = r.length, y = 0; y < d; y++) { for (var g = r[y], v = [], x = [], b = m[h], w = m[h + 1], N = 0, M = b; M < w; M++) { var S = p[M]; S === h ? N = l[M] : S > h && (v.push(l[M]), x.push(S)) } if (o(N, 0)) if (o(g[h], 0)) { if (0 === y) { var E = ya(g); E[h] = 1; for (var A = 0, O = x.length; A < O; A++) { var C = x[A]; E[C] = a(E[C], v[A]) } r.push(E) } } else { if (0 === y) return []; r.splice(y, 1), y -= 1, d -= 1 } else { g[h] = n(g[h], N); for (var _ = 0, T = x.length; _ < T; _++) { var q = x[_]; g[q] = a(g[q], i(g[h], v[_])) } } } return r.map((function (e) { return new s({ data: e.map((function (e) { return [e] })), size: [c, 1] }) })) }(e, t) }, "DenseMatrix, Array | Matrix": function (e, t) { return c(e, t) }, "Array, Array | Matrix": function (e, t) { return c(r(e), t).map((function (e) { return e.valueOf() })) } }); function c(e, t) { for (var r = [u(e, t, !0)._data.map((function (e) { return e[0] }))], c = e._data, f = e._size[0], l = e._size[1], p = 0; p < l; p++)for (var m = r.length, h = 0; h < m; h++) { var d = r[h]; if (o(c[p][p], 0)) if (o(d[p], 0)) { if (0 === h) { var y = ya(d); y[p] = 1; for (var g = p + 1; g < l; g++)y[g] = a(y[g], c[g][p]); r.push(y) } } else { if (0 === h) return []; r.splice(h, 1), h -= 1, m -= 1 } else { d[p] = n(d[p], c[p][p]); for (var v = p + 1; v < l; v++)d[v] = a(d[v], i(d[p], c[v][p])) } } return r.map((function (e) { return new s({ data: e.map((function (e) { return [e] })), size: [f, 1] }) })) } })); function xa(e) { return function (e) { if (Array.isArray(e)) return ba(e) }(e) || function (e) { if ("undefined" != typeof Symbol && Symbol.iterator in Object(e)) return Array.from(e) }(e) || function (e, t) { if (!e) return; if ("string" == typeof e) return ba(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return ba(e, t) }(e) || function () { throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function ba(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var wa = Je("usolveAll", ["typed", "matrix", "divideScalar", "multiplyScalar", "subtract", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.multiplyScalar, a = e.subtract, o = e.equalScalar, s = e.DenseMatrix, u = ma({ DenseMatrix: s }); return t("usolveAll", { "SparseMatrix, Array | Matrix": function (e, t) { return function (e, t) { for (var r = [u(e, t, !0)._data.map((function (e) { return e[0] }))], c = e._size[0], f = e._size[1], l = e._values, p = e._index, m = e._ptr, h = f - 1; h >= 0; h--)for (var d = r.length, y = 0; y < d; y++) { for (var g = r[y], v = [], x = [], b = m[h], w = m[h + 1], N = 0, M = w - 1; M >= b; M--) { var S = p[M]; S === h ? N = l[M] : S < h && (v.push(l[M]), x.push(S)) } if (o(N, 0)) if (o(g[h], 0)) { if (0 === y) { var E = xa(g); E[h] = 1; for (var A = 0, O = x.length; A < O; A++) { var C = x[A]; E[C] = a(E[C], v[A]) } r.push(E) } } else { if (0 === y) return []; r.splice(y, 1), y -= 1, d -= 1 } else { g[h] = n(g[h], N); for (var _ = 0, T = x.length; _ < T; _++) { var q = x[_]; g[q] = a(g[q], i(g[h], v[_])) } } } return r.map((function (e) { return new s({ data: e.map((function (e) { return [e] })), size: [c, 1] }) })) }(e, t) }, "DenseMatrix, Array | Matrix": function (e, t) { return c(e, t) }, "Array, Array | Matrix": function (e, t) { return c(r(e), t).map((function (e) { return e.valueOf() })) } }); function c(e, t) { for (var r = [u(e, t, !0)._data.map((function (e) { return e[0] }))], c = e._data, f = e._size[0], l = e._size[1] - 1; l >= 0; l--)for (var p = r.length, m = 0; m < p; m++) { var h = r[m]; if (o(c[l][l], 0)) if (o(h[l], 0)) { if (0 === m) { var d = xa(h); d[l] = 1; for (var y = l - 1; y >= 0; y--)d[y] = a(d[y], c[y][l]); r.push(d) } } else { if (0 === m) return []; r.splice(m, 1), m -= 1, p -= 1 } else { h[l] = n(h[l], c[l][l]); for (var g = l - 1; g >= 0; g--)h[g] = a(h[g], i(h[l], c[g][l])) } } return r.map((function (e) { return new s({ data: e.map((function (e) { return [e] })), size: [f, 1] }) })) } })), Na = Je("algorithm08", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._index, s = e._ptr, u = e._size, c = e._datatype, f = n._values, l = n._index, p = n._ptr, m = n._size, h = n._datatype; if (u.length !== m.length) throw new we(u.length, m.length); if (u[0] !== m[0] || u[1] !== m[1]) throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + m + ")"); if (!a || !f) throw new Error("Cannot perform operation on Pattern Sparse Matrices"); var d, y = u[0], g = u[1], v = r, x = 0, b = i; "string" == typeof c && c === h && (d = c, v = t.find(r, [d, d]), x = t.convert(0, d), b = t.find(i, [d, d])); for (var w, N, M, S, E = [], A = [], O = [], C = [], _ = [], T = 0; T < g; T++) { O[T] = A.length; var q = T + 1; for (N = s[T], M = s[T + 1], w = N; w < M; w++)_[S = o[w]] = q, C[S] = a[w], A.push(S); for (N = p[T], M = p[T + 1], w = N; w < M; w++)_[S = l[w]] === q && (C[S] = b(C[S], f[w])); for (w = O[T]; w < A.length;) { var z = C[S = A[w]]; v(z, x) ? A.splice(w, 1) : (E.push(z), w++) } } return O[g] = A.length, e.createSparseMatrix({ values: E, index: A, ptr: O, size: [y, g], datatype: d }) } })), Ma = Je("leftShift", ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.DenseMatrix, o = Br({ typed: t }), s = Ur({ typed: t, equalScalar: n }), u = Na({ typed: t, equalScalar: n }), c = Rr({ typed: t, DenseMatrix: a }), f = Mr({ typed: t, equalScalar: n }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("leftShift", { "number, number": bn, "BigNumber, BigNumber": mn, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return s(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : f(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : p(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : c(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : p(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return this(r(e), t).valueOf() }, "number | BigNumber, Array": function (e, t) { return this(e, r(t)).valueOf() } }) })), Sa = Je("rightArithShift", ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.DenseMatrix, o = Br({ typed: t }), s = Ur({ typed: t, equalScalar: n }), u = Na({ typed: t, equalScalar: n }), c = Rr({ typed: t, DenseMatrix: a }), f = Mr({ typed: t, equalScalar: n }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("rightArithShift", { "number, number": wn, "BigNumber, BigNumber": hn, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return s(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : f(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : p(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : c(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : p(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return this(r(e), t).valueOf() }, "number | BigNumber, Array": function (e, t) { return this(e, r(t)).valueOf() } }) })), Ea = Je("rightLogShift", ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.DenseMatrix, o = Br({ typed: t }), s = Ur({ typed: t, equalScalar: n }), u = Na({ typed: t, equalScalar: n }), c = Rr({ typed: t, DenseMatrix: a }), f = Mr({ typed: t, equalScalar: n }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("rightLogShift", { "number, number": Nn, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return s(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : f(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : p(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : c(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : p(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return this(r(e), t).valueOf() }, "number | BigNumber, Array": function (e, t) { return this(e, r(t)).valueOf() } }) })), Aa = Je("and", ["typed", "matrix", "equalScalar", "zeros", "not"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.not, o = Ur({ typed: t, equalScalar: n }), s = Fr({ typed: t, equalScalar: n }), u = Mr({ typed: t, equalScalar: n }), c = jr({ typed: t }), f = Sr({ typed: t }); return t("and", { "number, number": Bn, "Complex, Complex": function (e, t) { return !(0 === e.re && 0 === e.im || 0 === t.re && 0 === t.im) }, "BigNumber, BigNumber": function (e, t) { return !(e.isZero() || t.isZero() || e.isNaN() || t.isNaN()) }, "Unit, Unit": function (e, t) { return this(e.value || 0, t.value || 0) }, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return c(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return a(t) ? i(e.size(), e.storage()) : u(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return a(t) ? i(e.size(), e.storage()) : f(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return a(e) ? i(e.size(), e.storage()) : u(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return a(e) ? i(e.size(), e.storage()) : f(t, e, this, !0) }, "Array, any": function (e, t) { return this(r(e), t).valueOf() }, "any, Array": function (e, t) { return this(e, r(t)).valueOf() } }) })), Oa = Je("compare", ["typed", "config", "matrix", "equalScalar", "BigNumber", "Fraction", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.equalScalar, i = e.matrix, a = e.BigNumber, o = e.Fraction, s = e.DenseMatrix, u = Gr({ typed: t }), c = Vr({ typed: t, equalScalar: n }), f = Zr({ typed: t, DenseMatrix: s }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("compare", { "boolean, boolean": function (e, t) { return e === t ? 0 : e > t ? 1 : -1 }, "number, number": function (e, t) { return oe(e, t, r.epsilon) ? 0 : e > t ? 1 : -1 }, "BigNumber, BigNumber": function (e, t) { return Dt(e, t, r.epsilon) ? new a(0) : new a(e.cmp(t)) }, "Fraction, Fraction": function (e, t) { return new o(e.compare(t)) }, "Complex, Complex": function () { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return c(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(i(e), i(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(i(e), t) }, "Matrix, Array": function (e, t) { return this(e, i(t)) }, "SparseMatrix, any": function (e, t) { return f(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return p(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return f(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return p(t, e, this, !0) }, "Array, any": function (e, t) { return p(i(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return p(i(t), e, this, !0).valueOf() } }) })), Ca = r(4), _a = r.n(Ca), Ta = Je("compareNatural", ["typed", "compare"], (function (e) { var t = e.typed, r = e.compare, n = r.signatures["boolean,boolean"]; return t("compareNatural", { "any, any": function (e, t) { var a, o = H(e), s = H(t); if (!("number" !== o && "BigNumber" !== o && "Fraction" !== o || "number" !== s && "BigNumber" !== s && "Fraction" !== s)) return "0" !== (a = r(e, t)).toString() ? a > 0 ? 1 : -1 : _a()(o, s); if ("Array" === o || "Matrix" === o || "Array" === s || "Matrix" === s) return 0 !== (a = function e(t, r, n) { if (d(r) && d(n)) return i(t, r.toJSON().values, n.toJSON().values); if (d(r)) return e(t, r.toArray(), n); if (d(n)) return e(t, r, n.toArray()); if (h(r)) return e(t, r.toJSON().data, n); if (h(n)) return e(t, r, n.toJSON().data); if (!Array.isArray(r)) return e(t, [r], n); if (!Array.isArray(n)) return e(t, r, [n]); return i(t, r, n) }(this, e, t)) ? a : _a()(o, s); if (o !== s) return _a()(o, s); if ("Complex" === o) return function (e, t) { if (e.re > t.re) return 1; if (e.re < t.re) return -1; if (e.im > t.im) return 1; if (e.im < t.im) return -1; return 0 }(e, t); if ("Unit" === o) return e.equalBase(t) ? this(e.value, t.value) : i(this, e.formatUnits(), t.formatUnits()); if ("boolean" === o) return n(e, t); if ("string" === o) return _a()(e, t); if ("Object" === o) return function (e, t, r) { var n = Object.keys(t), a = Object.keys(r); n.sort(_a.a), a.sort(_a.a); var o = i(e, n, a); if (0 !== o) return o; for (var s = 0; s < n.length; s++) { var u = e(t[n[s]], r[a[s]]); if (0 !== u) return u } return 0 }(this, e, t); if ("null" === o) return 0; if ("undefined" === o) return 0; throw new TypeError('Unsupported type of value "' + o + '"') } }); function i(e, t, r) { for (var n = 0, i = Math.min(t.length, r.length); n < i; n++) { var a = e(t[n], r[n]); if (0 !== a) return a } return t.length > r.length ? 1 : t.length < r.length ? -1 : 0 } })); var qa = Je("compareText", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix, n = jr({ typed: t }), i = Sr({ typed: t }); return t("compareText", { "any, any": be, "DenseMatrix, DenseMatrix": function (e, t) { return n(e, t, be) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "DenseMatrix, any": function (e, t) { return i(e, t, be, !1) }, "any, DenseMatrix": function (e, t) { return i(t, e, be, !0) }, "Array, any": function (e, t) { return i(r(e), t, be, !1).valueOf() }, "any, Array": function (e, t) { return i(r(t), e, be, !0).valueOf() } }) })), za = Je("equal", ["typed", "matrix", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("equal", { "any, any": function (e, t) { return null === e ? null === t : null === t ? null === e : void 0 === e ? void 0 === t : void 0 === t ? void 0 === e : n(e, t) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, n) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, n, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, n, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, n) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, n, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, n, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, n, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, n, !0) }, "Array, any": function (e, t) { return c(r(e), t, n, !1).valueOf() }, "any, Array": function (e, t) { return c(r(t), e, n, !0).valueOf() } }) })), ka = (Je("equal", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return t("equal", { "any, any": function (e, t) { return null === e ? null === t : null === t ? null === e : void 0 === e ? void 0 === t : void 0 === t ? void 0 === e : r(e, t) } }) })), Je("equalText", ["typed", "compareText", "isZero"], (function (e) { var t = e.typed, r = e.compareText, n = e.isZero; return t("equalText", { "any, any": function (e, t) { return n(r(e, t)) } }) }))), Ia = Je("smaller", ["typed", "config", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("smaller", { "boolean, boolean": function (e, t) { return e < t }, "number, number": function (e, t) { return e < t && !oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.lt(t) && !Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return -1 === e.compare(t) }, "Complex, Complex": function (e, t) { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, this, !0).valueOf() } }) })), Ba = Je("smallerEq", ["typed", "config", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("smallerEq", { "boolean, boolean": function (e, t) { return e <= t }, "number, number": function (e, t) { return e <= t || oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.lte(t) || Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return 1 !== e.compare(t) }, "Complex, Complex": function () { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, this, !0).valueOf() } }) })), Da = Je("larger", ["typed", "config", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("larger", { "boolean, boolean": function (e, t) { return e > t }, "number, number": function (e, t) { return e > t && !oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.gt(t) && !Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return 1 === e.compare(t) }, "Complex, Complex": function () { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, this, !0).valueOf() } }) })), Ra = Je("largerEq", ["typed", "config", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("largerEq", { "boolean, boolean": function (e, t) { return e >= t }, "number, number": function (e, t) { return e >= t || oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.gte(t) || Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return -1 !== e.compare(t) }, "Complex, Complex": function () { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, this, !0).valueOf() } }) })), ja = Je("deepEqual", ["typed", "equal"], (function (e) { var t = e.typed, r = e.equal; return t("deepEqual", { "any, any": function (e, t) { return function e(t, n) { if (Array.isArray(t)) { if (Array.isArray(n)) { var i = t.length; if (i !== n.length) return !1; for (var a = 0; a < i; a++)if (!e(t[a], n[a])) return !1; return !0 } return !1 } return !Array.isArray(n) && r(t, n) }(e.valueOf(), t.valueOf()) } }) })), Pa = Je("unequal", ["typed", "config", "equalScalar", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = (e.config, e.equalScalar), n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("unequal", { "any, any": function (e, t) { return null === e ? null !== t : null === t ? null !== e : void 0 === e ? void 0 !== t : void 0 === t ? void 0 !== e : f(e, t) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, f) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, f, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, f, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, f) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, f, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, f, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, f, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, f, !0) }, "Array, any": function (e, t) { return c(n(e), t, f, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, f, !0).valueOf() } }); function f(e, t) { return !r(e, t) } })), Ua = (Je("unequal", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return t("unequal", { "any, any": function (e, t) { return null === e ? null !== t : null === t ? null !== e : void 0 === e ? void 0 !== t : void 0 === t ? void 0 !== e : !r(e, t) } }) })), Je("partitionSelect", ["typed", "isNumeric", "isNaN", "compare"], (function (e) { var t = e.typed, r = e.isNumeric, n = e.isNaN, i = e.compare, a = i, o = function (e, t) { return -i(e, t) }; return t("partitionSelect", { "Array | Matrix, number": function (e, t) { return s(e, t, a) }, "Array | Matrix, number, string": function (e, t, r) { if ("asc" === r) return s(e, t, a); if ("desc" === r) return s(e, t, o); throw new Error('Compare string must be "asc" or "desc"') }, "Array | Matrix, number, function": s }); function s(e, t, r) { if (!V(t) || t < 0) throw new Error("k must be a non-negative integer"); if (p(e)) { if (e.size().length > 1) throw new Error("Only one dimensional matrices supported"); return u(e.valueOf(), t, r) } if (Array.isArray(e)) return u(e, t, r) } function u(e, t, i) { if (t >= e.length) throw new Error("k out of bounds"); for (var a = 0; a < e.length; a++)if (r(e[a]) && n(e[a])) return e[a]; for (var o = 0, s = e.length - 1; o < s;) { for (var u = o, c = s, f = e[Math.floor(Math.random() * (s - o + 1)) + o]; u < c;)if (i(e[u], f) >= 0) { var l = e[c]; e[c] = e[u], e[u] = l, --c } else ++u; i(e[u], f) > 0 && --u, t <= u ? s = u : o = u + 1 } return e[t] } }))), Fa = Je("sort", ["typed", "matrix", "compare", "compareNatural"], (function (e) { var t = e.typed, r = e.matrix, n = e.compare, i = e.compareNatural, a = n, o = function (e, t) { return -n(e, t) }; return t("sort", { Array: function (e) { return u(e), e.sort(a) }, Matrix: function (e) { return c(e), r(e.toArray().sort(a), e.storage()) }, "Array, function": function (e, t) { return u(e), e.sort(t) }, "Matrix, function": function (e, t) { return c(e), r(e.toArray().sort(t), e.storage()) }, "Array, string": function (e, t) { return u(e), e.sort(s(t)) }, "Matrix, string": function (e, t) { return c(e), r(e.toArray().sort(s(t)), e.storage()) } }); function s(e) { if ("asc" === e) return a; if ("desc" === e) return o; if ("natural" === e) return i; throw new Error('String "asc", "desc", or "natural" expected') } function u(e) { if (1 !== Me(e).length) throw new Error("One dimensional array expected") } function c(e) { if (1 !== e.size().length) throw new Error("One dimensional matrix expected") } })), La = Je("max", ["typed", "config", "numeric", "larger"], (function (e) { var t = e.typed, r = e.config, n = e.numeric, i = e.larger; return t("max", { "Array | Matrix": o, "Array | Matrix, number | BigNumber": function (e, t) { return wt(e, t.valueOf(), a) }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function max"); return o(e) } }); function a(e, t) { try { return i(e, t) ? e : t } catch (e) { throw Ui(e, "max", t) } } function o(e) { var t; if (xt(e, (function (e) { try { isNaN(e) && "number" == typeof e ? t = NaN : (void 0 === t || i(e, t)) && (t = e) } catch (t) { throw Ui(t, "max", e) } })), void 0 === t) throw new Error("Cannot calculate max of an empty array"); return "string" == typeof t && (t = n(t, r.number)), t } })), Ha = Je("min", ["typed", "config", "numeric", "smaller"], (function (e) { var t = e.typed, r = e.config, n = e.numeric, i = e.smaller; return t("min", { "Array | Matrix": o, "Array | Matrix, number | BigNumber": function (e, t) { return wt(e, t.valueOf(), a) }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function min"); return o(e) } }); function a(e, t) { try { return i(e, t) ? e : t } catch (e) { throw Ui(e, "min", t) } } function o(e) { var t; if (xt(e, (function (e) { try { isNaN(e) && "number" == typeof e ? t = NaN : (void 0 === t || i(e, t)) && (t = e) } catch (t) { throw Ui(t, "min", e) } })), void 0 === t) throw new Error("Cannot calculate min of an empty array"); return "string" == typeof t && (t = n(t, r.number)), t } })), $a = Je("ImmutableDenseMatrix", ["smaller", "DenseMatrix"], (function (e) { var t = e.smaller, r = e.DenseMatrix; function n(e, t) { if (!(this instanceof n)) throw new SyntaxError("Constructor must be called with the new operator"); if (t && !f(t)) throw new Error("Invalid datatype: " + t); if (p(e) || l(e)) { var i = new r(e, t); this._data = i._data, this._size = i._size, this._datatype = i._datatype, this._min = null, this._max = null } else if (e && l(e.data) && l(e.size)) this._data = e.data, this._size = e.size, this._datatype = e.datatype, this._min = void 0 !== e.min ? e.min : null, this._max = void 0 !== e.max ? e.max : null; else { if (e) throw new TypeError("Unsupported type of data (" + H(e) + ")"); this._data = [], this._size = [0], this._datatype = t, this._min = null, this._max = null } } return n.prototype = new r, n.prototype.type = "ImmutableDenseMatrix", n.prototype.isImmutableDenseMatrix = !0, n.prototype.subset = function (e) { switch (arguments.length) { case 1: var t = r.prototype.subset.call(this, e); return p(t) ? new n({ data: t._data, size: t._size, datatype: t._datatype }) : t; case 2: case 3: throw new Error("Cannot invoke set subset on an Immutable Matrix instance"); default: throw new SyntaxError("Wrong number of arguments") } }, n.prototype.set = function () { throw new Error("Cannot invoke set on an Immutable Matrix instance") }, n.prototype.resize = function () { throw new Error("Cannot invoke resize on an Immutable Matrix instance") }, n.prototype.reshape = function () { throw new Error("Cannot invoke reshape on an Immutable Matrix instance") }, n.prototype.clone = function () { return new n({ data: Fe(this._data), size: Fe(this._size), datatype: this._datatype }) }, n.prototype.toJSON = function () { return { mathjs: "ImmutableDenseMatrix", data: this._data, size: this._size, datatype: this._datatype } }, n.fromJSON = function (e) { return new n(e) }, n.prototype.swapRows = function () { throw new Error("Cannot invoke swapRows on an Immutable Matrix instance") }, n.prototype.min = function () { if (null === this._min) { var e = null; this.forEach((function (r) { (null === e || t(r, e)) && (e = r) })), this._min = null !== e ? e : void 0 } return this._min }, n.prototype.max = function () { if (null === this._max) { var e = null; this.forEach((function (r) { (null === e || t(e, r)) && (e = r) })), this._max = null !== e ? e : void 0 } return this._max }, n }), { isClass: !0 }), Ga = Je("Index", ["ImmutableDenseMatrix"], (function (e) { var t = e.ImmutableDenseMatrix; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); this._dimensions = [], this._isScalar = !0; for (var t = 0, i = arguments.length; t < i; t++) { var a = arguments[t]; if (y(a)) this._dimensions.push(a), this._isScalar = !1; else if (Array.isArray(a) || p(a)) { var o = n(a.valueOf()); this._dimensions.push(o); var s = o.size(); 1 === s.length && 1 === s[0] || (this._isScalar = !1) } else if ("number" == typeof a) this._dimensions.push(n([a])); else { if ("string" != typeof a) throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range"); this._dimensions.push(a) } } } function n(e) { for (var r = 0, n = e.length; r < n; r++)if ("number" != typeof e[r] || !V(e[r])) throw new TypeError("Index parameters must be positive integer numbers"); return new t(e) } return r.prototype.type = "Index", r.prototype.isIndex = !0, r.prototype.clone = function () { var e = new r; return e._dimensions = Fe(this._dimensions), e._isScalar = this._isScalar, e }, r.create = function (e) { var t = new r; return r.apply(t, e), t }, r.prototype.size = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; e[t] = "string" == typeof n ? 1 : n.size()[0] } return e }, r.prototype.max = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; e[t] = "string" == typeof n ? n : n.max() } return e }, r.prototype.min = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; e[t] = "string" == typeof n ? n : n.min() } return e }, r.prototype.forEach = function (e) { for (var t = 0, r = this._dimensions.length; t < r; t++)e(this._dimensions[t], t, this) }, r.prototype.dimension = function (e) { return this._dimensions[e] || null }, r.prototype.isObjectProperty = function () { return 1 === this._dimensions.length && "string" == typeof this._dimensions[0] }, r.prototype.getObjectProperty = function () { return this.isObjectProperty() ? this._dimensions[0] : null }, r.prototype.isScalar = function () { return this._isScalar }, r.prototype.toArray = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; e.push("string" == typeof n ? n : n.toArray()) } return e }, r.prototype.valueOf = r.prototype.toArray, r.prototype.toString = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; "string" == typeof n ? e.push(JSON.stringify(n)) : e.push(n.toString()) } return "[" + e.join(", ") + "]" }, r.prototype.toJSON = function () { return { mathjs: "Index", dimensions: this._dimensions } }, r.fromJSON = function (e) { return r.create(e.dimensions) }, r }), { isClass: !0 }), Va = Je("FibonacciHeap", ["smaller", "larger"], (function (e) { var t = e.smaller, r = e.larger, n = 1 / Math.log((1 + Math.sqrt(5)) / 2); function i() { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); this._minimum = null, this._size = 0 } function a(e, t, r) { t.left.right = t.right, t.right.left = t.left, r.degree--, r.child === t && (r.child = t.right), 0 === r.degree && (r.child = null), t.left = e, t.right = e.right, e.right = t, t.right.left = t, t.parent = null, t.mark = !1 } i.prototype.type = "FibonacciHeap", i.prototype.isFibonacciHeap = !0, i.prototype.insert = function (e, r) { var n = { key: e, value: r, degree: 0 }; if (this._minimum) { var i = this._minimum; n.left = i, n.right = i.right, i.right = n, n.right.left = n, t(e, i.key) && (this._minimum = n) } else n.left = n, n.right = n, this._minimum = n; return this._size++, n }, i.prototype.size = function () { return this._size }, i.prototype.clear = function () { this._minimum = null, this._size = 0 }, i.prototype.isEmpty = function () { return 0 === this._size }, i.prototype.extractMinimum = function () { var e = this._minimum; if (null === e) return e; for (var i = this._minimum, a = e.degree, s = e.child; a > 0;) { var u = s.right; s.left.right = s.right, s.right.left = s.left, s.left = i, s.right = i.right, i.right = s, s.right.left = s, s.parent = null, s = u, a-- } return e.left.right = e.right, e.right.left = e.left, i = e === e.right ? null : function (e, i) { var a, s = Math.floor(Math.log(i) * n) + 1, u = new Array(s), c = 0, f = e; if (f) for (c++, f = f.right; f !== e;)c++, f = f.right; for (; c > 0;) { for (var l = f.degree, p = f.right; a = u[l];) { if (r(f.key, a.key)) { var m = a; a = f, f = m } o(a, f), u[l] = null, l++ } u[l] = f, f = p, c-- } e = null; for (var h = 0; h < s; h++)(a = u[h]) && (e ? (a.left.right = a.right, a.right.left = a.left, a.left = e, a.right = e.right, e.right = a, a.right.left = a, t(a.key, e.key) && (e = a)) : e = a); return e }(i = e.right, this._size), this._size--, this._minimum = i, e }, i.prototype.remove = function (e) { this._minimum = function (e, r, n) { r.key = n; var i = r.parent; i && t(r.key, i.key) && (a(e, r, i), function e(t, r) { var n = r.parent; if (!n) return; r.mark ? (a(t, r, n), e(n)) : r.mark = !0 }(e, i)); t(r.key, e.key) && (e = r); return e }(this._minimum, e, -1), this.extractMinimum() }; var o = function (e, t) { e.left.right = e.right, e.right.left = e.left, e.parent = t, t.child ? (e.left = t.child, e.right = t.child.right, t.child.right = e, e.right.left = e) : (t.child = e, e.right = e, e.left = e), t.degree++, e.mark = !1 }; return i }), { isClass: !0 }), Za = Je("Spa", ["addScalar", "equalScalar", "FibonacciHeap"], (function (e) { var t = e.addScalar, r = e.equalScalar, n = e.FibonacciHeap; function i() { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); this._values = [], this._heap = new n } return i.prototype.type = "Spa", i.prototype.isSpa = !0, i.prototype.set = function (e, t) { if (this._values[e]) this._values[e].value = t; else { var r = this._heap.insert(e, t); this._values[e] = r } }, i.prototype.get = function (e) { var t = this._values[e]; return t ? t.value : 0 }, i.prototype.accumulate = function (e, r) { var n = this._values[e]; n ? n.value = t(n.value, r) : (n = this._heap.insert(e, r), this._values[e] = n) }, i.prototype.forEach = function (e, t, n) { var i = this._heap, a = this._values, o = [], s = i.extractMinimum(); for (s && o.push(s); s && s.key <= t;)s.key >= e && (r(s.value, 0) || n(s.key, s.value, this)), (s = i.extractMinimum()) && o.push(s); for (var u = 0; u < o.length; u++) { var c = o[u]; a[(s = i.insert(c.key, c.value)).key] = s } }, i.prototype.swap = function (e, t) { var r = this._values[e], n = this._values[t]; if (!r && n) r = this._heap.insert(e, n.value), this._heap.remove(n), this._values[e] = r, this._values[t] = void 0; else if (r && !n) n = this._heap.insert(t, r.value), this._heap.remove(r), this._values[t] = n, this._values[e] = void 0; else if (r && n) { var i = r.value; r.value = n.value, n.value = i } }, i }), { isClass: !0 }), Wa = Gn((function (e) { return new e(1).exp() }), Qa), Ja = Gn((function (e) { return new e(1).plus(new e(5).sqrt()).div(2) }), Qa), Ya = Gn((function (e) { return e.acos(-1) }), Qa), Xa = Gn((function (e) { return Ya(e).times(2) }), Qa); function Qa(e) { return e[0].precision } function Ka(e) { return (Ka = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } function eo() { return (eo = Object.assign || function (e) { for (var t = 1; t < arguments.length; t++) { var r = arguments[t]; for (var n in r) Object.prototype.hasOwnProperty.call(r, n) && (e[n] = r[n]) } return e }).apply(this, arguments) } function to(e, t) { var r = Object.keys(e); if (Object.getOwnPropertySymbols) { var n = Object.getOwnPropertySymbols(e); t && (n = n.filter((function (t) { return Object.getOwnPropertyDescriptor(e, t).enumerable }))), r.push.apply(r, n) } return r } function ro(e) { for (var t = 1; t < arguments.length; t++) { var r = null != arguments[t] ? arguments[t] : {}; t % 2 ? to(Object(r), !0).forEach((function (t) { no(e, t, r[t]) })) : Object.getOwnPropertyDescriptors ? Object.defineProperties(e, Object.getOwnPropertyDescriptors(r)) : to(Object(r)).forEach((function (t) { Object.defineProperty(e, t, Object.getOwnPropertyDescriptor(r, t)) })) } return e } function no(e, t, r) { return t in e ? Object.defineProperty(e, t, { value: r, enumerable: !0, configurable: !0, writable: !0 }) : e[t] = r, e } var io = Je("Unit", ["?on", "config", "addScalar", "subtract", "multiplyScalar", "divideScalar", "pow", "abs", "fix", "round", "equal", "isNumeric", "format", "number", "Complex", "BigNumber", "Fraction"], (function (e) { var t, r, n, i = e.on, a = e.config, o = e.addScalar, u = e.subtract, f = e.multiplyScalar, l = e.divideScalar, p = e.pow, m = e.abs, h = e.fix, d = e.round, y = e.equal, g = e.isNumeric, v = e.format, x = e.number, b = e.Complex, w = e.BigNumber, N = e.Fraction, M = x; function S(e, t) { if (!(this instanceof S)) throw new Error("Constructor must be called with the new operator"); if (null != e && !g(e) && !s(e)) throw new TypeError("First parameter in Unit constructor must be number, BigNumber, Fraction, Complex, or undefined"); if (void 0 !== t && ("string" != typeof t || "" === t)) throw new TypeError("Second parameter in Unit constructor must be a string"); if (void 0 !== t) { var r = S.parse(t); this.units = r.units, this.dimensions = r.dimensions } else { this.units = [{ unit: j, prefix: I.NONE, power: 0 }], this.dimensions = []; for (var n = 0; n < B.length; n++)this.dimensions[n] = 0 } this.value = null != e ? this._normalize(e) : null, this.fixPrefix = !1, this.skipAutomaticSimplification = !0 } function E() { for (; " " === n || "\t" === n;)O() } function A(e) { return e >= "0" && e <= "9" } function O() { r++, n = t.charAt(r) } function C(e) { r = e, n = t.charAt(r) } function _() { var e = "", t = r; if ("+" === n ? O() : "-" === n && (e += n, O()), !function (e) { return e >= "0" && e <= "9" || "." === e }(n)) return C(t), null; if ("." === n) { if (e += n, O(), !A(n)) return C(t), null } else { for (; A(n);)e += n, O(); "." === n && (e += n, O()) } for (; A(n);)e += n, O(); if ("E" === n || "e" === n) { var i = "", a = r; if (i += n, O(), "+" !== n && "-" !== n || (i += n, O()), !A(n)) return C(a), e; for (e += i; A(n);)e += n, O() } return e } function T() { for (var e = ""; A(n) || S.isValidAlpha(n);)e += n, O(); var t = e.charAt(0); return S.isValidAlpha(t) ? e : null } function q(e) { return n === e ? (O(), e) : null } function z(e) { if (Ze(P, e)) { var t = P[e]; return { unit: t, prefix: t.prefixes[""] } } for (var r in P) if (Ze(P, r) && ye(e, r)) { var n = P[r], i = e.length - r.length, a = e.substring(0, i), o = Ze(n.prefixes, a) ? n.prefixes[a] : void 0; if (void 0 !== o) return { unit: n, prefix: o } } return null } function k(e) { return e.equalBase(D.NONE) && null !== e.value && !a.predictable ? e.value : e } S.prototype.type = "Unit", S.prototype.isUnit = !0, S.parse = function (e, i) { if (i = i || {}, r = -1, n = "", "string" != typeof (t = e)) throw new TypeError("Invalid argument in Unit.parse, string expected"); var o = new S; o.units = []; var s = 1, u = !1; O(), E(); var c = _(), f = null; if (c) { if ("BigNumber" === a.number) f = new w(c); else if ("Fraction" === a.number) try { f = new N(c) } catch (e) { f = parseFloat(c) } else f = parseFloat(c); E(), q("*") ? (s = 1, u = !0) : q("/") && (s = -1, u = !0) } for (var l = [], p = 1; ;) { for (E(); "(" === n;)l.push(s), p *= s, s = 1, O(), E(); var m = void 0; if (!n) break; var h = n; if (null === (m = T())) throw new SyntaxError('Unexpected "' + h + '" in "' + t + '" at index ' + r.toString()); var d = z(m); if (null === d) throw new SyntaxError('Unit "' + m + '" not found.'); var y = s * p; if (E(), q("^")) { E(); var g = _(); if (null === g) throw new SyntaxError('In "' + e + '", "^" must be followed by a floating-point number'); y *= g } o.units.push({ unit: d.unit, prefix: d.prefix, power: y }); for (var v = 0; v < B.length; v++)o.dimensions[v] += (d.unit.dimensions[v] || 0) * y; for (E(); ")" === n;) { if (0 === l.length) throw new SyntaxError('Unmatched ")" in "' + t + '" at index ' + r.toString()); p /= l.pop(), O(), E() } if (u = !1, q("*") ? (s = 1, u = !0) : q("/") ? (s = -1, u = !0) : s = 1, d.unit.base) { var x = d.unit.base.key; L.auto[x] = { unit: d.unit, prefix: d.prefix } } } if (E(), n) throw new SyntaxError('Could not parse: "' + e + '"'); if (u) throw new SyntaxError('Trailing characters: "' + e + '"'); if (0 !== l.length) throw new SyntaxError('Unmatched "(" in "' + t + '"'); if (0 === o.units.length && !i.allowNoUnits) throw new SyntaxError('"' + e + '" contains no units'); return o.value = void 0 !== f ? o._normalize(f) : null, o }, S.prototype.clone = function () { var e = new S; e.fixPrefix = this.fixPrefix, e.skipAutomaticSimplification = this.skipAutomaticSimplification, e.value = Fe(this.value), e.dimensions = this.dimensions.slice(0), e.units = []; for (var t = 0; t < this.units.length; t++)for (var r in e.units[t] = {}, this.units[t]) Ze(this.units[t], r) && (e.units[t][r] = this.units[t][r]); return e }, S.prototype._isDerived = function () { return 0 !== this.units.length && (this.units.length > 1 || Math.abs(this.units[0].power - 1) > 1e-15) }, S.prototype._normalize = function (e) { var t, r, n, i, a; if (null == e || 0 === this.units.length) return e; if (this._isDerived()) { var s = e; a = S._getNumberConverter(H(e)); for (var u = 0; u < this.units.length; u++)t = a(this.units[u].unit.value), i = a(this.units[u].prefix.value), n = a(this.units[u].power), s = f(s, p(f(t, i), n)); return s } return t = (a = S._getNumberConverter(H(e)))(this.units[0].unit.value), r = a(this.units[0].unit.offset), i = a(this.units[0].prefix.value), f(o(e, r), f(t, i)) }, S.prototype._denormalize = function (e, t) { var r, n, i, a, o; if (null == e || 0 === this.units.length) return e; if (this._isDerived()) { var s = e; o = S._getNumberConverter(H(e)); for (var c = 0; c < this.units.length; c++)r = o(this.units[c].unit.value), a = o(this.units[c].prefix.value), i = o(this.units[c].power), s = l(s, p(f(r, a), i)); return s } return r = (o = S._getNumberConverter(H(e)))(this.units[0].unit.value), a = o(this.units[0].prefix.value), n = o(this.units[0].unit.offset), u(l(l(e, r), null == t ? a : t), n) }, S.isValuelessUnit = function (e) { return null !== z(e) }, S.prototype.hasBase = function (e) { if ("string" == typeof e && (e = D[e]), !e) return !1; for (var t = 0; t < B.length; t++)if (Math.abs((this.dimensions[t] || 0) - (e.dimensions[t] || 0)) > 1e-12) return !1; return !0 }, S.prototype.equalBase = function (e) { for (var t = 0; t < B.length; t++)if (Math.abs((this.dimensions[t] || 0) - (e.dimensions[t] || 0)) > 1e-12) return !1; return !0 }, S.prototype.equals = function (e) { return this.equalBase(e) && y(this.value, e.value) }, S.prototype.multiply = function (e) { for (var t = this.clone(), r = 0; r < B.length; r++)t.dimensions[r] = (this.dimensions[r] || 0) + (e.dimensions[r] || 0); for (var n = 0; n < e.units.length; n++) { var i = ro({}, e.units[n]); t.units.push(i) } if (null !== this.value || null !== e.value) { var a = null === this.value ? this._normalize(1) : this.value, o = null === e.value ? e._normalize(1) : e.value; t.value = f(a, o) } else t.value = null; return t.skipAutomaticSimplification = !1, k(t) }, S.prototype.divide = function (e) { for (var t = this.clone(), r = 0; r < B.length; r++)t.dimensions[r] = (this.dimensions[r] || 0) - (e.dimensions[r] || 0); for (var n = 0; n < e.units.length; n++) { var i = ro(ro({}, e.units[n]), {}, { power: -e.units[n].power }); t.units.push(i) } if (null !== this.value || null !== e.value) { var a = null === this.value ? this._normalize(1) : this.value, o = null === e.value ? e._normalize(1) : e.value; t.value = l(a, o) } else t.value = null; return t.skipAutomaticSimplification = !1, k(t) }, S.prototype.pow = function (e) { for (var t = this.clone(), r = 0; r < B.length; r++)t.dimensions[r] = (this.dimensions[r] || 0) * e; for (var n = 0; n < t.units.length; n++)t.units[n].power *= e; return null !== t.value ? t.value = p(t.value, e) : t.value = null, t.skipAutomaticSimplification = !1, k(t) }, S.prototype.abs = function () { var e = this.clone(); for (var t in e.value = null !== e.value ? m(e.value) : null, e.units) "VA" !== e.units[t].unit.name && "VAR" !== e.units[t].unit.name || (e.units[t].unit = P.W); return e }, S.prototype.to = function (e) { var t, r = null === this.value ? this._normalize(1) : this.value; if ("string" == typeof e) { if (t = S.parse(e), !this.equalBase(t)) throw new Error("Units do not match ('".concat(t.toString(), "' != '").concat(this.toString(), "')")); if (null !== t.value) throw new Error("Cannot convert to a unit with a value"); return t.value = Fe(r), t.fixPrefix = !0, t.skipAutomaticSimplification = !0, t } if (c(e)) { if (!this.equalBase(e)) throw new Error("Units do not match ('".concat(e.toString(), "' != '").concat(this.toString(), "')")); if (null !== e.value) throw new Error("Cannot convert to a unit with a value"); return (t = e.clone()).value = Fe(r), t.fixPrefix = !0, t.skipAutomaticSimplification = !0, t } throw new Error("String or Unit expected as parameter") }, S.prototype.toNumber = function (e) { return M(this.toNumeric(e)) }, S.prototype.toNumeric = function (e) { var t; return (t = e ? this.to(e) : this.clone())._isDerived() || 0 === t.units.length ? t._denormalize(t.value) : t._denormalize(t.value, t.units[0].prefix.value) }, S.prototype.toString = function () { return this.format() }, S.prototype.toJSON = function () { return { mathjs: "Unit", value: this._denormalize(this.value), unit: this.formatUnits(), fixPrefix: this.fixPrefix } }, S.fromJSON = function (e) { var t = new S(e.value, e.unit); return t.fixPrefix = e.fixPrefix || !1, t }, S.prototype.valueOf = S.prototype.toString, S.prototype.simplify = function () { var e, t, r = this.clone(), n = []; for (var i in $) if (Ze($, i) && r.hasBase(D[i])) { e = i; break } if ("NONE" === e) r.units = []; else if (e && Ze($, e) && (t = $[e]), t) r.units = [{ unit: t.unit, prefix: t.prefix, power: 1 }]; else { for (var a = !1, o = 0; o < B.length; o++) { var s = B[o]; Math.abs(r.dimensions[o] || 0) > 1e-12 && (Ze($, s) ? n.push({ unit: $[s].unit, prefix: $[s].prefix, power: r.dimensions[o] || 0 }) : a = !0) } n.length < r.units.length && !a && (r.units = n) } return r }, S.prototype.toSI = function () { for (var e = this.clone(), t = [], r = 0; r < B.length; r++) { var n = B[r]; if (Math.abs(e.dimensions[r] || 0) > 1e-12) { if (!Ze(L.si, n)) throw new Error("Cannot express custom unit " + n + " in SI units"); t.push({ unit: L.si[n].unit, prefix: L.si[n].prefix, power: e.dimensions[r] || 0 }) } } return e.units = t, e.fixPrefix = !0, e.skipAutomaticSimplification = !0, e }, S.prototype.formatUnits = function () { for (var e = "", t = "", r = 0, n = 0, i = 0; i < this.units.length; i++)this.units[i].power > 0 ? (r++, e += " " + this.units[i].prefix.name + this.units[i].unit.name, Math.abs(this.units[i].power - 1) > 1e-15 && (e += "^" + this.units[i].power)) : this.units[i].power < 0 && n++; if (n > 0) for (var a = 0; a < this.units.length; a++)this.units[a].power < 0 && (r > 0 ? (t += " " + this.units[a].prefix.name + this.units[a].unit.name, Math.abs(this.units[a].power + 1) > 1e-15 && (t += "^" + -this.units[a].power)) : (t += " " + this.units[a].prefix.name + this.units[a].unit.name, t += "^" + this.units[a].power)); e = e.substr(1), t = t.substr(1), r > 1 && n > 0 && (e = "(" + e + ")"), n > 1 && r > 0 && (t = "(" + t + ")"); var o = e; return r > 0 && n > 0 && (o += " / "), o += t }, S.prototype.format = function (e) { var t = this.skipAutomaticSimplification || null === this.value ? this.clone() : this.simplify(), r = !1; for (var n in void 0 !== t.value && null !== t.value && s(t.value) && (r = Math.abs(t.value.re) < 1e-14), t.units) Ze(t.units, n) && t.units[n].unit && ("VA" === t.units[n].unit.name && r ? t.units[n].unit = P.VAR : "VAR" !== t.units[n].unit.name || r || (t.units[n].unit = P.VA)); 1 !== t.units.length || t.fixPrefix || Math.abs(t.units[0].power - Math.round(t.units[0].power)) < 1e-14 && (t.units[0].prefix = t._bestPrefix()); var i = t._denormalize(t.value), a = null !== t.value ? v(i, e || {}) : "", o = t.formatUnits(); return t.value && s(t.value) && (a = "(" + a + ")"), o.length > 0 && a.length > 0 && (a += " "), a += o }, S.prototype._bestPrefix = function () { if (1 !== this.units.length) throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!"); if (Math.abs(this.units[0].power - Math.round(this.units[0].power)) >= 1e-14) throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!"); var e = null !== this.value ? m(this.value) : 0, t = m(this.units[0].unit.value), r = this.units[0].prefix; if (0 === e) return r; var n = this.units[0].power, i = Math.log(e / Math.pow(r.value * t, n)) / Math.LN10 - 1.2; if (i > -2.200001 && i < 1.800001) return r; i = Math.abs(i); var a = this.units[0].unit.prefixes; for (var o in a) if (Ze(a, o)) { var s = a[o]; if (s.scientific) { var u = Math.abs(Math.log(e / Math.pow(s.value * t, n)) / Math.LN10 - 1.2); (u < i || u === i && s.name.length < r.name.length) && (r = s, i = u) } } return r }, S.prototype.splitUnit = function (e) { for (var t = this.clone(), r = [], n = 0; n < e.length && (t = t.to(e[n]), n !== e.length - 1); n++) { var i = t.toNumeric(), a = d(i), s = new S(y(a, i) ? a : h(t.toNumeric()), e[n].toString()); r.push(s), t = u(t, s) } for (var c = 0, f = 0; f < r.length; f++)c = o(c, r[f].value); return y(c, this.value) && (t.value = 0), r.push(t), r }; var I = { NONE: { "": { name: "", value: 1, scientific: !0 } }, SHORT: { "": { name: "", value: 1, scientific: !0 }, da: { name: "da", value: 10, scientific: !1 }, h: { name: "h", value: 100, scientific: !1 }, k: { name: "k", value: 1e3, scientific: !0 }, M: { name: "M", value: 1e6, scientific: !0 }, G: { name: "G", value: 1e9, scientific: !0 }, T: { name: "T", value: 1e12, scientific: !0 }, P: { name: "P", value: 1e15, scientific: !0 }, E: { name: "E", value: 1e18, scientific: !0 }, Z: { name: "Z", value: 1e21, scientific: !0 }, Y: { name: "Y", value: 1e24, scientific: !0 }, d: { name: "d", value: .1, scientific: !1 }, c: { name: "c", value: .01, scientific: !1 }, m: { name: "m", value: .001, scientific: !0 }, u: { name: "u", value: 1e-6, scientific: !0 }, n: { name: "n", value: 1e-9, scientific: !0 }, p: { name: "p", value: 1e-12, scientific: !0 }, f: { name: "f", value: 1e-15, scientific: !0 }, a: { name: "a", value: 1e-18, scientific: !0 }, z: { name: "z", value: 1e-21, scientific: !0 }, y: { name: "y", value: 1e-24, scientific: !0 } }, LONG: { "": { name: "", value: 1, scientific: !0 }, deca: { name: "deca", value: 10, scientific: !1 }, hecto: { name: "hecto", value: 100, scientific: !1 }, kilo: { name: "kilo", value: 1e3, scientific: !0 }, mega: { name: "mega", value: 1e6, scientific: !0 }, giga: { name: "giga", value: 1e9, scientific: !0 }, tera: { name: "tera", value: 1e12, scientific: !0 }, peta: { name: "peta", value: 1e15, scientific: !0 }, exa: { name: "exa", value: 1e18, scientific: !0 }, zetta: { name: "zetta", value: 1e21, scientific: !0 }, yotta: { name: "yotta", value: 1e24, scientific: !0 }, deci: { name: "deci", value: .1, scientific: !1 }, centi: { name: "centi", value: .01, scientific: !1 }, milli: { name: "milli", value: .001, scientific: !0 }, micro: { name: "micro", value: 1e-6, scientific: !0 }, nano: { name: "nano", value: 1e-9, scientific: !0 }, pico: { name: "pico", value: 1e-12, scientific: !0 }, femto: { name: "femto", value: 1e-15, scientific: !0 }, atto: { name: "atto", value: 1e-18, scientific: !0 }, zepto: { name: "zepto", value: 1e-21, scientific: !0 }, yocto: { name: "yocto", value: 1e-24, scientific: !0 } }, SQUARED: { "": { name: "", value: 1, scientific: !0 }, da: { name: "da", value: 100, scientific: !1 }, h: { name: "h", value: 1e4, scientific: !1 }, k: { name: "k", value: 1e6, scientific: !0 }, M: { name: "M", value: 1e12, scientific: !0 }, G: { name: "G", value: 1e18, scientific: !0 }, T: { name: "T", value: 1e24, scientific: !0 }, P: { name: "P", value: 1e30, scientific: !0 }, E: { name: "E", value: 1e36, scientific: !0 }, Z: { name: "Z", value: 1e42, scientific: !0 }, Y: { name: "Y", value: 1e48, scientific: !0 }, d: { name: "d", value: .01, scientific: !1 }, c: { name: "c", value: 1e-4, scientific: !1 }, m: { name: "m", value: 1e-6, scientific: !0 }, u: { name: "u", value: 1e-12, scientific: !0 }, n: { name: "n", value: 1e-18, scientific: !0 }, p: { name: "p", value: 1e-24, scientific: !0 }, f: { name: "f", value: 1e-30, scientific: !0 }, a: { name: "a", value: 1e-36, scientific: !0 }, z: { name: "z", value: 1e-42, scientific: !0 }, y: { name: "y", value: 1e-48, scientific: !0 } }, CUBIC: { "": { name: "", value: 1, scientific: !0 }, da: { name: "da", value: 1e3, scientific: !1 }, h: { name: "h", value: 1e6, scientific: !1 }, k: { name: "k", value: 1e9, scientific: !0 }, M: { name: "M", value: 1e18, scientific: !0 }, G: { name: "G", value: 1e27, scientific: !0 }, T: { name: "T", value: 1e36, scientific: !0 }, P: { name: "P", value: 1e45, scientific: !0 }, E: { name: "E", value: 1e54, scientific: !0 }, Z: { name: "Z", value: 1e63, scientific: !0 }, Y: { name: "Y", value: 1e72, scientific: !0 }, d: { name: "d", value: .001, scientific: !1 }, c: { name: "c", value: 1e-6, scientific: !1 }, m: { name: "m", value: 1e-9, scientific: !0 }, u: { name: "u", value: 1e-18, scientific: !0 }, n: { name: "n", value: 1e-27, scientific: !0 }, p: { name: "p", value: 1e-36, scientific: !0 }, f: { name: "f", value: 1e-45, scientific: !0 }, a: { name: "a", value: 1e-54, scientific: !0 }, z: { name: "z", value: 1e-63, scientific: !0 }, y: { name: "y", value: 1e-72, scientific: !0 } }, BINARY_SHORT_SI: { "": { name: "", value: 1, scientific: !0 }, k: { name: "k", value: 1e3, scientific: !0 }, M: { name: "M", value: 1e6, scientific: !0 }, G: { name: "G", value: 1e9, scientific: !0 }, T: { name: "T", value: 1e12, scientific: !0 }, P: { name: "P", value: 1e15, scientific: !0 }, E: { name: "E", value: 1e18, scientific: !0 }, Z: { name: "Z", value: 1e21, scientific: !0 }, Y: { name: "Y", value: 1e24, scientific: !0 } }, BINARY_SHORT_IEC: { "": { name: "", value: 1, scientific: !0 }, Ki: { name: "Ki", value: 1024, scientific: !0 }, Mi: { name: "Mi", value: Math.pow(1024, 2), scientific: !0 }, Gi: { name: "Gi", value: Math.pow(1024, 3), scientific: !0 }, Ti: { name: "Ti", value: Math.pow(1024, 4), scientific: !0 }, Pi: { name: "Pi", value: Math.pow(1024, 5), scientific: !0 }, Ei: { name: "Ei", value: Math.pow(1024, 6), scientific: !0 }, Zi: { name: "Zi", value: Math.pow(1024, 7), scientific: !0 }, Yi: { name: "Yi", value: Math.pow(1024, 8), scientific: !0 } }, BINARY_LONG_SI: { "": { name: "", value: 1, scientific: !0 }, kilo: { name: "kilo", value: 1e3, scientific: !0 }, mega: { name: "mega", value: 1e6, scientific: !0 }, giga: { name: "giga", value: 1e9, scientific: !0 }, tera: { name: "tera", value: 1e12, scientific: !0 }, peta: { name: "peta", value: 1e15, scientific: !0 }, exa: { name: "exa", value: 1e18, scientific: !0 }, zetta: { name: "zetta", value: 1e21, scientific: !0 }, yotta: { name: "yotta", value: 1e24, scientific: !0 } }, BINARY_LONG_IEC: { "": { name: "", value: 1, scientific: !0 }, kibi: { name: "kibi", value: 1024, scientific: !0 }, mebi: { name: "mebi", value: Math.pow(1024, 2), scientific: !0 }, gibi: { name: "gibi", value: Math.pow(1024, 3), scientific: !0 }, tebi: { name: "tebi", value: Math.pow(1024, 4), scientific: !0 }, pebi: { name: "pebi", value: Math.pow(1024, 5), scientific: !0 }, exi: { name: "exi", value: Math.pow(1024, 6), scientific: !0 }, zebi: { name: "zebi", value: Math.pow(1024, 7), scientific: !0 }, yobi: { name: "yobi", value: Math.pow(1024, 8), scientific: !0 } }, BTU: { "": { name: "", value: 1, scientific: !0 }, MM: { name: "MM", value: 1e6, scientific: !0 } } }; I.SHORTLONG = eo({}, I.SHORT, I.LONG), I.BINARY_SHORT = eo({}, I.BINARY_SHORT_SI, I.BINARY_SHORT_IEC), I.BINARY_LONG = eo({}, I.BINARY_LONG_SI, I.BINARY_LONG_IEC); var B = ["MASS", "LENGTH", "TIME", "CURRENT", "TEMPERATURE", "LUMINOUS_INTENSITY", "AMOUNT_OF_SUBSTANCE", "ANGLE", "BIT"], D = { NONE: { dimensions: [0, 0, 0, 0, 0, 0, 0, 0, 0] }, MASS: { dimensions: [1, 0, 0, 0, 0, 0, 0, 0, 0] }, LENGTH: { dimensions: [0, 1, 0, 0, 0, 0, 0, 0, 0] }, TIME: { dimensions: [0, 0, 1, 0, 0, 0, 0, 0, 0] }, CURRENT: { dimensions: [0, 0, 0, 1, 0, 0, 0, 0, 0] }, TEMPERATURE: { dimensions: [0, 0, 0, 0, 1, 0, 0, 0, 0] }, LUMINOUS_INTENSITY: { dimensions: [0, 0, 0, 0, 0, 1, 0, 0, 0] }, AMOUNT_OF_SUBSTANCE: { dimensions: [0, 0, 0, 0, 0, 0, 1, 0, 0] }, FORCE: { dimensions: [1, 1, -2, 0, 0, 0, 0, 0, 0] }, SURFACE: { dimensions: [0, 2, 0, 0, 0, 0, 0, 0, 0] }, VOLUME: { dimensions: [0, 3, 0, 0, 0, 0, 0, 0, 0] }, ENERGY: { dimensions: [1, 2, -2, 0, 0, 0, 0, 0, 0] }, POWER: { dimensions: [1, 2, -3, 0, 0, 0, 0, 0, 0] }, PRESSURE: { dimensions: [1, -1, -2, 0, 0, 0, 0, 0, 0] }, ELECTRIC_CHARGE: { dimensions: [0, 0, 1, 1, 0, 0, 0, 0, 0] }, ELECTRIC_CAPACITANCE: { dimensions: [-1, -2, 4, 2, 0, 0, 0, 0, 0] }, ELECTRIC_POTENTIAL: { dimensions: [1, 2, -3, -1, 0, 0, 0, 0, 0] }, ELECTRIC_RESISTANCE: { dimensions: [1, 2, -3, -2, 0, 0, 0, 0, 0] }, ELECTRIC_INDUCTANCE: { dimensions: [1, 2, -2, -2, 0, 0, 0, 0, 0] }, ELECTRIC_CONDUCTANCE: { dimensions: [-1, -2, 3, 2, 0, 0, 0, 0, 0] }, MAGNETIC_FLUX: { dimensions: [1, 2, -2, -1, 0, 0, 0, 0, 0] }, MAGNETIC_FLUX_DENSITY: { dimensions: [1, 0, -2, -1, 0, 0, 0, 0, 0] }, FREQUENCY: { dimensions: [0, 0, -1, 0, 0, 0, 0, 0, 0] }, ANGLE: { dimensions: [0, 0, 0, 0, 0, 0, 0, 1, 0] }, BIT: { dimensions: [0, 0, 0, 0, 0, 0, 0, 0, 1] } }; for (var R in D) Ze(D, R) && (D[R].key = R); var j = { name: "", base: {}, value: 1, offset: 0, dimensions: B.map((function (e) { return 0 })) }, P = { meter: { name: "meter", base: D.LENGTH, prefixes: I.LONG, value: 1, offset: 0 }, inch: { name: "inch", base: D.LENGTH, prefixes: I.NONE, value: .0254, offset: 0 }, foot: { name: "foot", base: D.LENGTH, prefixes: I.NONE, value: .3048, offset: 0 }, yard: { name: "yard", base: D.LENGTH, prefixes: I.NONE, value: .9144, offset: 0 }, mile: { name: "mile", base: D.LENGTH, prefixes: I.NONE, value: 1609.344, offset: 0 }, link: { name: "link", base: D.LENGTH, prefixes: I.NONE, value: .201168, offset: 0 }, rod: { name: "rod", base: D.LENGTH, prefixes: I.NONE, value: 5.0292, offset: 0 }, chain: { name: "chain", base: D.LENGTH, prefixes: I.NONE, value: 20.1168, offset: 0 }, angstrom: { name: "angstrom", base: D.LENGTH, prefixes: I.NONE, value: 1e-10, offset: 0 }, m: { name: "m", base: D.LENGTH, prefixes: I.SHORT, value: 1, offset: 0 }, in: { name: "in", base: D.LENGTH, prefixes: I.NONE, value: .0254, offset: 0 }, ft: { name: "ft", base: D.LENGTH, prefixes: I.NONE, value: .3048, offset: 0 }, yd: { name: "yd", base: D.LENGTH, prefixes: I.NONE, value: .9144, offset: 0 }, mi: { name: "mi", base: D.LENGTH, prefixes: I.NONE, value: 1609.344, offset: 0 }, li: { name: "li", base: D.LENGTH, prefixes: I.NONE, value: .201168, offset: 0 }, rd: { name: "rd", base: D.LENGTH, prefixes: I.NONE, value: 5.02921, offset: 0 }, ch: { name: "ch", base: D.LENGTH, prefixes: I.NONE, value: 20.1168, offset: 0 }, mil: { name: "mil", base: D.LENGTH, prefixes: I.NONE, value: 254e-7, offset: 0 }, m2: { name: "m2", base: D.SURFACE, prefixes: I.SQUARED, value: 1, offset: 0 }, sqin: { name: "sqin", base: D.SURFACE, prefixes: I.NONE, value: 64516e-8, offset: 0 }, sqft: { name: "sqft", base: D.SURFACE, prefixes: I.NONE, value: .09290304, offset: 0 }, sqyd: { name: "sqyd", base: D.SURFACE, prefixes: I.NONE, value: .83612736, offset: 0 }, sqmi: { name: "sqmi", base: D.SURFACE, prefixes: I.NONE, value: 2589988.110336, offset: 0 }, sqrd: { name: "sqrd", base: D.SURFACE, prefixes: I.NONE, value: 25.29295, offset: 0 }, sqch: { name: "sqch", base: D.SURFACE, prefixes: I.NONE, value: 404.6873, offset: 0 }, sqmil: { name: "sqmil", base: D.SURFACE, prefixes: I.NONE, value: 6.4516e-10, offset: 0 }, acre: { name: "acre", base: D.SURFACE, prefixes: I.NONE, value: 4046.86, offset: 0 }, hectare: { name: "hectare", base: D.SURFACE, prefixes: I.NONE, value: 1e4, offset: 0 }, m3: { name: "m3", base: D.VOLUME, prefixes: I.CUBIC, value: 1, offset: 0 }, L: { name: "L", base: D.VOLUME, prefixes: I.SHORT, value: .001, offset: 0 }, l: { name: "l", base: D.VOLUME, prefixes: I.SHORT, value: .001, offset: 0 }, litre: { name: "litre", base: D.VOLUME, prefixes: I.LONG, value: .001, offset: 0 }, cuin: { name: "cuin", base: D.VOLUME, prefixes: I.NONE, value: 16387064e-12, offset: 0 }, cuft: { name: "cuft", base: D.VOLUME, prefixes: I.NONE, value: .028316846592, offset: 0 }, cuyd: { name: "cuyd", base: D.VOLUME, prefixes: I.NONE, value: .764554857984, offset: 0 }, teaspoon: { name: "teaspoon", base: D.VOLUME, prefixes: I.NONE, value: 5e-6, offset: 0 }, tablespoon: { name: "tablespoon", base: D.VOLUME, prefixes: I.NONE, value: 15e-6, offset: 0 }, drop: { name: "drop", base: D.VOLUME, prefixes: I.NONE, value: 5e-8, offset: 0 }, gtt: { name: "gtt", base: D.VOLUME, prefixes: I.NONE, value: 5e-8, offset: 0 }, minim: { name: "minim", base: D.VOLUME, prefixes: I.NONE, value: 6.161152e-8, offset: 0 }, fluiddram: { name: "fluiddram", base: D.VOLUME, prefixes: I.NONE, value: 36966911e-13, offset: 0 }, fluidounce: { name: "fluidounce", base: D.VOLUME, prefixes: I.NONE, value: 2957353e-11, offset: 0 }, gill: { name: "gill", base: D.VOLUME, prefixes: I.NONE, value: .0001182941, offset: 0 }, cc: { name: "cc", base: D.VOLUME, prefixes: I.NONE, value: 1e-6, offset: 0 }, cup: { name: "cup", base: D.VOLUME, prefixes: I.NONE, value: .0002365882, offset: 0 }, pint: { name: "pint", base: D.VOLUME, prefixes: I.NONE, value: .0004731765, offset: 0 }, quart: { name: "quart", base: D.VOLUME, prefixes: I.NONE, value: .0009463529, offset: 0 }, gallon: { name: "gallon", base: D.VOLUME, prefixes: I.NONE, value: .003785412, offset: 0 }, beerbarrel: { name: "beerbarrel", base: D.VOLUME, prefixes: I.NONE, value: .1173478, offset: 0 }, oilbarrel: { name: "oilbarrel", base: D.VOLUME, prefixes: I.NONE, value: .1589873, offset: 0 }, hogshead: { name: "hogshead", base: D.VOLUME, prefixes: I.NONE, value: .238481, offset: 0 }, fldr: { name: "fldr", base: D.VOLUME, prefixes: I.NONE, value: 36966911e-13, offset: 0 }, floz: { name: "floz", base: D.VOLUME, prefixes: I.NONE, value: 2957353e-11, offset: 0 }, gi: { name: "gi", base: D.VOLUME, prefixes: I.NONE, value: .0001182941, offset: 0 }, cp: { name: "cp", base: D.VOLUME, prefixes: I.NONE, value: .0002365882, offset: 0 }, pt: { name: "pt", base: D.VOLUME, prefixes: I.NONE, value: .0004731765, offset: 0 }, qt: { name: "qt", base: D.VOLUME, prefixes: I.NONE, value: .0009463529, offset: 0 }, gal: { name: "gal", base: D.VOLUME, prefixes: I.NONE, value: .003785412, offset: 0 }, bbl: { name: "bbl", base: D.VOLUME, prefixes: I.NONE, value: .1173478, offset: 0 }, obl: { name: "obl", base: D.VOLUME, prefixes: I.NONE, value: .1589873, offset: 0 }, g: { name: "g", base: D.MASS, prefixes: I.SHORT, value: .001, offset: 0 }, gram: { name: "gram", base: D.MASS, prefixes: I.LONG, value: .001, offset: 0 }, ton: { name: "ton", base: D.MASS, prefixes: I.SHORT, value: 907.18474, offset: 0 }, t: { name: "t", base: D.MASS, prefixes: I.SHORT, value: 1e3, offset: 0 }, tonne: { name: "tonne", base: D.MASS, prefixes: I.LONG, value: 1e3, offset: 0 }, grain: { name: "grain", base: D.MASS, prefixes: I.NONE, value: 6479891e-11, offset: 0 }, dram: { name: "dram", base: D.MASS, prefixes: I.NONE, value: .0017718451953125, offset: 0 }, ounce: { name: "ounce", base: D.MASS, prefixes: I.NONE, value: .028349523125, offset: 0 }, poundmass: { name: "poundmass", base: D.MASS, prefixes: I.NONE, value: .45359237, offset: 0 }, hundredweight: { name: "hundredweight", base: D.MASS, prefixes: I.NONE, value: 45.359237, offset: 0 }, stick: { name: "stick", base: D.MASS, prefixes: I.NONE, value: .115, offset: 0 }, stone: { name: "stone", base: D.MASS, prefixes: I.NONE, value: 6.35029318, offset: 0 }, gr: { name: "gr", base: D.MASS, prefixes: I.NONE, value: 6479891e-11, offset: 0 }, dr: { name: "dr", base: D.MASS, prefixes: I.NONE, value: .0017718451953125, offset: 0 }, oz: { name: "oz", base: D.MASS, prefixes: I.NONE, value: .028349523125, offset: 0 }, lbm: { name: "lbm", base: D.MASS, prefixes: I.NONE, value: .45359237, offset: 0 }, cwt: { name: "cwt", base: D.MASS, prefixes: I.NONE, value: 45.359237, offset: 0 }, s: { name: "s", base: D.TIME, prefixes: I.SHORT, value: 1, offset: 0 }, min: { name: "min", base: D.TIME, prefixes: I.NONE, value: 60, offset: 0 }, h: { name: "h", base: D.TIME, prefixes: I.NONE, value: 3600, offset: 0 }, second: { name: "second", base: D.TIME, prefixes: I.LONG, value: 1, offset: 0 }, sec: { name: "sec", base: D.TIME, prefixes: I.LONG, value: 1, offset: 0 }, minute: { name: "minute", base: D.TIME, prefixes: I.NONE, value: 60, offset: 0 }, hour: { name: "hour", base: D.TIME, prefixes: I.NONE, value: 3600, offset: 0 }, day: { name: "day", base: D.TIME, prefixes: I.NONE, value: 86400, offset: 0 }, week: { name: "week", base: D.TIME, prefixes: I.NONE, value: 604800, offset: 0 }, month: { name: "month", base: D.TIME, prefixes: I.NONE, value: 2629800, offset: 0 }, year: { name: "year", base: D.TIME, prefixes: I.NONE, value: 31557600, offset: 0 }, decade: { name: "decade", base: D.TIME, prefixes: I.NONE, value: 315576e3, offset: 0 }, century: { name: "century", base: D.TIME, prefixes: I.NONE, value: 315576e4, offset: 0 }, millennium: { name: "millennium", base: D.TIME, prefixes: I.NONE, value: 315576e5, offset: 0 }, hertz: { name: "Hertz", base: D.FREQUENCY, prefixes: I.LONG, value: 1, offset: 0, reciprocal: !0 }, Hz: { name: "Hz", base: D.FREQUENCY, prefixes: I.SHORT, value: 1, offset: 0, reciprocal: !0 }, rad: { name: "rad", base: D.ANGLE, prefixes: I.SHORT, value: 1, offset: 0 }, radian: { name: "radian", base: D.ANGLE, prefixes: I.LONG, value: 1, offset: 0 }, deg: { name: "deg", base: D.ANGLE, prefixes: I.SHORT, value: null, offset: 0 }, degree: { name: "degree", base: D.ANGLE, prefixes: I.LONG, value: null, offset: 0 }, grad: { name: "grad", base: D.ANGLE, prefixes: I.SHORT, value: null, offset: 0 }, gradian: { name: "gradian", base: D.ANGLE, prefixes: I.LONG, value: null, offset: 0 }, cycle: { name: "cycle", base: D.ANGLE, prefixes: I.NONE, value: null, offset: 0 }, arcsec: { name: "arcsec", base: D.ANGLE, prefixes: I.NONE, value: null, offset: 0 }, arcmin: { name: "arcmin", base: D.ANGLE, prefixes: I.NONE, value: null, offset: 0 }, A: { name: "A", base: D.CURRENT, prefixes: I.SHORT, value: 1, offset: 0 }, ampere: { name: "ampere", base: D.CURRENT, prefixes: I.LONG, value: 1, offset: 0 }, K: { name: "K", base: D.TEMPERATURE, prefixes: I.NONE, value: 1, offset: 0 }, degC: { name: "degC", base: D.TEMPERATURE, prefixes: I.NONE, value: 1, offset: 273.15 }, degF: { name: "degF", base: D.TEMPERATURE, prefixes: I.NONE, value: 1 / 1.8, offset: 459.67 }, degR: { name: "degR", base: D.TEMPERATURE, prefixes: I.NONE, value: 1 / 1.8, offset: 0 }, kelvin: { name: "kelvin", base: D.TEMPERATURE, prefixes: I.NONE, value: 1, offset: 0 }, celsius: { name: "celsius", base: D.TEMPERATURE, prefixes: I.NONE, value: 1, offset: 273.15 }, fahrenheit: { name: "fahrenheit", base: D.TEMPERATURE, prefixes: I.NONE, value: 1 / 1.8, offset: 459.67 }, rankine: { name: "rankine", base: D.TEMPERATURE, prefixes: I.NONE, value: 1 / 1.8, offset: 0 }, mol: { name: "mol", base: D.AMOUNT_OF_SUBSTANCE, prefixes: I.SHORT, value: 1, offset: 0 }, mole: { name: "mole", base: D.AMOUNT_OF_SUBSTANCE, prefixes: I.LONG, value: 1, offset: 0 }, cd: { name: "cd", base: D.LUMINOUS_INTENSITY, prefixes: I.SHORT, value: 1, offset: 0 }, candela: { name: "candela", base: D.LUMINOUS_INTENSITY, prefixes: I.LONG, value: 1, offset: 0 }, N: { name: "N", base: D.FORCE, prefixes: I.SHORT, value: 1, offset: 0 }, newton: { name: "newton", base: D.FORCE, prefixes: I.LONG, value: 1, offset: 0 }, dyn: { name: "dyn", base: D.FORCE, prefixes: I.SHORT, value: 1e-5, offset: 0 }, dyne: { name: "dyne", base: D.FORCE, prefixes: I.LONG, value: 1e-5, offset: 0 }, lbf: { name: "lbf", base: D.FORCE, prefixes: I.NONE, value: 4.4482216152605, offset: 0 }, poundforce: { name: "poundforce", base: D.FORCE, prefixes: I.NONE, value: 4.4482216152605, offset: 0 }, kip: { name: "kip", base: D.FORCE, prefixes: I.LONG, value: 4448.2216, offset: 0 }, kilogramforce: { name: "kilogramforce", base: D.FORCE, prefixes: I.NONE, value: 9.80665, offset: 0 }, J: { name: "J", base: D.ENERGY, prefixes: I.SHORT, value: 1, offset: 0 }, joule: { name: "joule", base: D.ENERGY, prefixes: I.SHORT, value: 1, offset: 0 }, erg: { name: "erg", base: D.ENERGY, prefixes: I.NONE, value: 1e-7, offset: 0 }, Wh: { name: "Wh", base: D.ENERGY, prefixes: I.SHORT, value: 3600, offset: 0 }, BTU: { name: "BTU", base: D.ENERGY, prefixes: I.BTU, value: 1055.05585262, offset: 0 }, eV: { name: "eV", base: D.ENERGY, prefixes: I.SHORT, value: 1602176565e-28, offset: 0 }, electronvolt: { name: "electronvolt", base: D.ENERGY, prefixes: I.LONG, value: 1602176565e-28, offset: 0 }, W: { name: "W", base: D.POWER, prefixes: I.SHORT, value: 1, offset: 0 }, watt: { name: "watt", base: D.POWER, prefixes: I.LONG, value: 1, offset: 0 }, hp: { name: "hp", base: D.POWER, prefixes: I.NONE, value: 745.6998715386, offset: 0 }, VAR: { name: "VAR", base: D.POWER, prefixes: I.SHORT, value: b.I, offset: 0 }, VA: { name: "VA", base: D.POWER, prefixes: I.SHORT, value: 1, offset: 0 }, Pa: { name: "Pa", base: D.PRESSURE, prefixes: I.SHORT, value: 1, offset: 0 }, psi: { name: "psi", base: D.PRESSURE, prefixes: I.NONE, value: 6894.75729276459, offset: 0 }, atm: { name: "atm", base: D.PRESSURE, prefixes: I.NONE, value: 101325, offset: 0 }, bar: { name: "bar", base: D.PRESSURE, prefixes: I.SHORTLONG, value: 1e5, offset: 0 }, torr: { name: "torr", base: D.PRESSURE, prefixes: I.NONE, value: 133.322, offset: 0 }, mmHg: { name: "mmHg", base: D.PRESSURE, prefixes: I.NONE, value: 133.322, offset: 0 }, mmH2O: { name: "mmH2O", base: D.PRESSURE, prefixes: I.NONE, value: 9.80665, offset: 0 }, cmH2O: { name: "cmH2O", base: D.PRESSURE, prefixes: I.NONE, value: 98.0665, offset: 0 }, coulomb: { name: "coulomb", base: D.ELECTRIC_CHARGE, prefixes: I.LONG, value: 1, offset: 0 }, C: { name: "C", base: D.ELECTRIC_CHARGE, prefixes: I.SHORT, value: 1, offset: 0 }, farad: { name: "farad", base: D.ELECTRIC_CAPACITANCE, prefixes: I.LONG, value: 1, offset: 0 }, F: { name: "F", base: D.ELECTRIC_CAPACITANCE, prefixes: I.SHORT, value: 1, offset: 0 }, volt: { name: "volt", base: D.ELECTRIC_POTENTIAL, prefixes: I.LONG, value: 1, offset: 0 }, V: { name: "V", base: D.ELECTRIC_POTENTIAL, prefixes: I.SHORT, value: 1, offset: 0 }, ohm: { name: "ohm", base: D.ELECTRIC_RESISTANCE, prefixes: I.SHORTLONG, value: 1, offset: 0 }, henry: { name: "henry", base: D.ELECTRIC_INDUCTANCE, prefixes: I.LONG, value: 1, offset: 0 }, H: { name: "H", base: D.ELECTRIC_INDUCTANCE, prefixes: I.SHORT, value: 1, offset: 0 }, siemens: { name: "siemens", base: D.ELECTRIC_CONDUCTANCE, prefixes: I.LONG, value: 1, offset: 0 }, S: { name: "S", base: D.ELECTRIC_CONDUCTANCE, prefixes: I.SHORT, value: 1, offset: 0 }, weber: { name: "weber", base: D.MAGNETIC_FLUX, prefixes: I.LONG, value: 1, offset: 0 }, Wb: { name: "Wb", base: D.MAGNETIC_FLUX, prefixes: I.SHORT, value: 1, offset: 0 }, tesla: { name: "tesla", base: D.MAGNETIC_FLUX_DENSITY, prefixes: I.LONG, value: 1, offset: 0 }, T: { name: "T", base: D.MAGNETIC_FLUX_DENSITY, prefixes: I.SHORT, value: 1, offset: 0 }, b: { name: "b", base: D.BIT, prefixes: I.BINARY_SHORT, value: 1, offset: 0 }, bits: { name: "bits", base: D.BIT, prefixes: I.BINARY_LONG, value: 1, offset: 0 }, B: { name: "B", base: D.BIT, prefixes: I.BINARY_SHORT, value: 8, offset: 0 }, bytes: { name: "bytes", base: D.BIT, prefixes: I.BINARY_LONG, value: 8, offset: 0 } }, U = { meters: "meter", inches: "inch", feet: "foot", yards: "yard", miles: "mile", links: "link", rods: "rod", chains: "chain", angstroms: "angstrom", lt: "l", litres: "litre", liter: "litre", liters: "litre", teaspoons: "teaspoon", tablespoons: "tablespoon", minims: "minim", fluiddrams: "fluiddram", fluidounces: "fluidounce", gills: "gill", cups: "cup", pints: "pint", quarts: "quart", gallons: "gallon", beerbarrels: "beerbarrel", oilbarrels: "oilbarrel", hogsheads: "hogshead", gtts: "gtt", grams: "gram", tons: "ton", tonnes: "tonne", grains: "grain", drams: "dram", ounces: "ounce", poundmasses: "poundmass", hundredweights: "hundredweight", sticks: "stick", lb: "lbm", lbs: "lbm", kips: "kip", kgf: "kilogramforce", acres: "acre", hectares: "hectare", sqfeet: "sqft", sqyard: "sqyd", sqmile: "sqmi", sqmiles: "sqmi", mmhg: "mmHg", mmh2o: "mmH2O", cmh2o: "cmH2O", seconds: "second", secs: "second", minutes: "minute", mins: "minute", hours: "hour", hr: "hour", hrs: "hour", days: "day", weeks: "week", months: "month", years: "year", decades: "decade", centuries: "century", millennia: "millennium", hertz: "hertz", radians: "radian", degrees: "degree", gradians: "gradian", cycles: "cycle", arcsecond: "arcsec", arcseconds: "arcsec", arcminute: "arcmin", arcminutes: "arcmin", BTUs: "BTU", watts: "watt", joules: "joule", amperes: "ampere", coulombs: "coulomb", volts: "volt", ohms: "ohm", farads: "farad", webers: "weber", teslas: "tesla", electronvolts: "electronvolt", moles: "mole", bit: "bits", byte: "bytes" }; function F(e) { if ("BigNumber" === e.number) { var t = Ya(w); P.rad.value = new w(1), P.deg.value = t.div(180), P.grad.value = t.div(200), P.cycle.value = t.times(2), P.arcsec.value = t.div(648e3), P.arcmin.value = t.div(10800) } else P.rad.value = 1, P.deg.value = Math.PI / 180, P.grad.value = Math.PI / 200, P.cycle.value = 2 * Math.PI, P.arcsec.value = Math.PI / 648e3, P.arcmin.value = Math.PI / 10800; P.radian.value = P.rad.value, P.degree.value = P.deg.value, P.gradian.value = P.grad.value } F(a), i && i("config", (function (e, t) { e.number !== t.number && F(e) })); var L = { si: { NONE: { unit: j, prefix: I.NONE[""] }, LENGTH: { unit: P.m, prefix: I.SHORT[""] }, MASS: { unit: P.g, prefix: I.SHORT.k }, TIME: { unit: P.s, prefix: I.SHORT[""] }, CURRENT: { unit: P.A, prefix: I.SHORT[""] }, TEMPERATURE: { unit: P.K, prefix: I.SHORT[""] }, LUMINOUS_INTENSITY: { unit: P.cd, prefix: I.SHORT[""] }, AMOUNT_OF_SUBSTANCE: { unit: P.mol, prefix: I.SHORT[""] }, ANGLE: { unit: P.rad, prefix: I.SHORT[""] }, BIT: { unit: P.bits, prefix: I.SHORT[""] }, FORCE: { unit: P.N, prefix: I.SHORT[""] }, ENERGY: { unit: P.J, prefix: I.SHORT[""] }, POWER: { unit: P.W, prefix: I.SHORT[""] }, PRESSURE: { unit: P.Pa, prefix: I.SHORT[""] }, ELECTRIC_CHARGE: { unit: P.C, prefix: I.SHORT[""] }, ELECTRIC_CAPACITANCE: { unit: P.F, prefix: I.SHORT[""] }, ELECTRIC_POTENTIAL: { unit: P.V, prefix: I.SHORT[""] }, ELECTRIC_RESISTANCE: { unit: P.ohm, prefix: I.SHORT[""] }, ELECTRIC_INDUCTANCE: { unit: P.H, prefix: I.SHORT[""] }, ELECTRIC_CONDUCTANCE: { unit: P.S, prefix: I.SHORT[""] }, MAGNETIC_FLUX: { unit: P.Wb, prefix: I.SHORT[""] }, MAGNETIC_FLUX_DENSITY: { unit: P.T, prefix: I.SHORT[""] }, FREQUENCY: { unit: P.Hz, prefix: I.SHORT[""] } } }; L.cgs = JSON.parse(JSON.stringify(L.si)), L.cgs.LENGTH = { unit: P.m, prefix: I.SHORT.c }, L.cgs.MASS = { unit: P.g, prefix: I.SHORT[""] }, L.cgs.FORCE = { unit: P.dyn, prefix: I.SHORT[""] }, L.cgs.ENERGY = { unit: P.erg, prefix: I.NONE[""] }, L.us = JSON.parse(JSON.stringify(L.si)), L.us.LENGTH = { unit: P.ft, prefix: I.NONE[""] }, L.us.MASS = { unit: P.lbm, prefix: I.NONE[""] }, L.us.TEMPERATURE = { unit: P.degF, prefix: I.NONE[""] }, L.us.FORCE = { unit: P.lbf, prefix: I.NONE[""] }, L.us.ENERGY = { unit: P.BTU, prefix: I.BTU[""] }, L.us.POWER = { unit: P.hp, prefix: I.NONE[""] }, L.us.PRESSURE = { unit: P.psi, prefix: I.NONE[""] }, L.auto = JSON.parse(JSON.stringify(L.si)); var $ = L.auto; for (var G in S.setUnitSystem = function (e) { if (!Ze(L, e)) throw new Error("Unit system " + e + " does not exist. Choices are: " + Object.keys(L).join(", ")); $ = L[e] }, S.getUnitSystem = function () { for (var e in L) if (Ze(L, e) && L[e] === $) return e }, S.typeConverters = { BigNumber: function (e) { return new w(e + "") }, Fraction: function (e) { return new N(e) }, Complex: function (e) { return e }, number: function (e) { return e } }, S._getNumberConverter = function (e) { if (!S.typeConverters[e]) throw new TypeError('Unsupported type "' + e + '"'); return S.typeConverters[e] }, P) if (Ze(P, G)) { var V = P[G]; V.dimensions = V.base.dimensions } for (var Z in U) if (Ze(U, Z)) { var W = P[U[Z]], J = {}; for (var Y in W) Ze(W, Y) && (J[Y] = W[Y]); J.name = Z, P[Z] = J } return S.isValidAlpha = function (e) { return /^[a-zA-Z]$/.test(e) }, S.createUnit = function (e, t) { if ("object" !== Ka(e)) throw new TypeError("createUnit expects first parameter to be of type 'Object'"); if (t && t.override) for (var r in e) if (Ze(e, r) && S.deleteUnit(r), e[r].aliases) for (var n = 0; n < e[r].aliases.length; n++)S.deleteUnit(e[r].aliases[n]); var i; for (var a in e) Ze(e, a) && (i = S.createUnitSingle(a, e[a])); return i }, S.createUnitSingle = function (e, t, r) { if (null == t && (t = {}), "string" != typeof e) throw new TypeError("createUnitSingle expects first parameter to be of type 'string'"); if (Ze(P, e)) throw new Error('Cannot create unit "' + e + '": a unit with that name already exists'); !function (e) { for (var t = 0; t < e.length; t++) { if (n = e.charAt(t), 0 === t && !S.isValidAlpha(n)) throw new Error('Invalid unit name (must begin with alpha character): "' + e + '"'); if (t > 0 && !S.isValidAlpha(n) && !A(n)) throw new Error('Invalid unit name (only alphanumeric characters are allowed): "' + e + '"') } }(e); var i, a, o, s = null, u = [], c = 0; if (t && "Unit" === t.type) s = t.clone(); else if ("string" == typeof t) "" !== t && (i = t); else { if ("object" !== Ka(t)) throw new TypeError('Cannot create unit "' + e + '" from "' + t.toString() + '": expecting "string" or "Unit" or "Object"'); i = t.definition, a = t.prefixes, c = t.offset, o = t.baseName, t.aliases && (u = t.aliases.valueOf()) } if (u) for (var f = 0; f < u.length; f++)if (Ze(P, u[f])) throw new Error('Cannot create alias "' + u[f] + '": a unit with that name already exists'); if (i && "string" == typeof i && !s) try { s = S.parse(i, { allowNoUnits: !0 }) } catch (t) { throw t.message = 'Could not create unit "' + e + '" from "' + i + '": ' + t.message, t } else i && "Unit" === i.type && (s = i.clone()); u = u || [], c = c || 0, a = a && a.toUpperCase && I[a.toUpperCase()] || I.NONE; var l = {}; if (s) { l = { name: e, value: s.value, dimensions: s.dimensions.slice(0), prefixes: a, offset: c }; var p = !1; for (var m in D) if (Ze(D, m)) { for (var h = !0, d = 0; d < B.length; d++)if (Math.abs((l.dimensions[d] || 0) - (D[m].dimensions[d] || 0)) > 1e-12) { h = !1; break } if (h) { p = !0, l.base = D[m]; break } } if (!p) { o = o || e + "_STUFF"; var y = { dimensions: s.dimensions.slice(0) }; y.key = o, D[o] = y, $[o] = { unit: l, prefix: I.NONE[""] }, l.base = D[o] } } else { if (o = o || e + "_STUFF", B.indexOf(o) >= 0) throw new Error('Cannot create new base unit "' + e + '": a base unit with that name already exists (and cannot be overridden)'); for (var g in B.push(o), D) Ze(D, g) && (D[g].dimensions[B.length - 1] = 0); for (var v = { dimensions: [] }, x = 0; x < B.length; x++)v.dimensions[x] = 0; v.dimensions[B.length - 1] = 1, v.key = o, D[o] = v, l = { name: e, value: 1, dimensions: D[o].dimensions.slice(0), prefixes: a, offset: c, base: D[o] }, $[o] = { unit: l, prefix: I.NONE[""] } } S.UNITS[e] = l; for (var b = 0; b < u.length; b++) { var w = u[b], N = {}; for (var M in l) Ze(l, M) && (N[M] = l[M]); N.name = w, S.UNITS[w] = N } return new S(null, e) }, S.deleteUnit = function (e) { delete S.UNITS[e] }, S.PREFIXES = I, S.BASE_DIMENSIONS = B, S.BASE_UNITS = D, S.UNIT_SYSTEMS = L, S.UNITS = P, S }), { isClass: !0 }), ao = Je("unit", ["typed", "Unit"], (function (e) { var t = e.typed, r = e.Unit; return t("unit", { Unit: function (e) { return e.clone() }, string: function (e) { return r.isValuelessUnit(e) ? new r(null, e) : r.parse(e, { allowNoUnits: !0 }) }, "number | BigNumber | Fraction | Complex, string": function (e, t) { return new r(e, t) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), oo = Je("sparse", ["typed", "SparseMatrix"], (function (e) { var t = e.typed, r = e.SparseMatrix; return t("sparse", { "": function () { return new r([]) }, string: function (e) { return new r([], e) }, "Array | Matrix": function (e) { return new r(e) }, "Array | Matrix, string": function (e, t) { return new r(e, t) } }) })), so = Je("createUnit", ["typed", "Unit"], (function (e) { var t = e.typed, r = e.Unit; return t("createUnit", { "Object, Object": function (e, t) { return r.createUnit(e, t) }, Object: function (e) { return r.createUnit(e, {}) }, "string, Unit | string | Object, Object": function (e, t, n) { var i = {}; return i[e] = t, r.createUnit(i, n) }, "string, Unit | string | Object": function (e, t) { var n = {}; return n[e] = t, r.createUnit(n, {}) }, string: function (e) { var t = {}; return t[e] = {}, r.createUnit(t, {}) } }) })), uo = Je("acos", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("acos", { number: function (e) { return e >= -1 && e <= 1 || r.predictable ? Math.acos(e) : new n(e, 0).acos() }, Complex: function (e) { return e.acos() }, BigNumber: function (e) { return e.acos() }, "Array | Matrix": function (e) { return bt(e, this) } }) })); function co(e) { return se(e) } function fo(e) { return Math.atan(1 / e) } function lo(e) { return isFinite(e) ? (Math.log((e + 1) / e) + Math.log(e / (e - 1))) / 2 : 0 } function po(e) { return Math.asin(1 / e) } function mo(e) { var t = 1 / e; return Math.log(t + Math.sqrt(t * t + 1)) } function ho(e) { return Math.acos(1 / e) } function yo(e) { var t = 1 / e, r = Math.sqrt(t * t - 1); return Math.log(r + t) } function go(e) { return ue(e) } function vo(e) { return ce(e) } function xo(e) { return 1 / Math.tan(e) } function bo(e) { var t = Math.exp(2 * e); return (t + 1) / (t - 1) } function wo(e) { return 1 / Math.sin(e) } function No(e) { return 0 === e ? Number.POSITIVE_INFINITY : Math.abs(2 / (Math.exp(e) - Math.exp(-e))) * Z(e) } function Mo(e) { return 1 / Math.cos(e) } function So(e) { return 2 / (Math.exp(e) + Math.exp(-e)) } function Eo(e) { return le(e) } co.signature = "number", fo.signature = "number", lo.signature = "number", po.signature = "number", mo.signature = "number", ho.signature = "number", yo.signature = "number", go.signature = "number", vo.signature = "number", xo.signature = "number", bo.signature = "number", wo.signature = "number", No.signature = "number", Mo.signature = "number", So.signature = "number", Eo.signature = "number"; var Ao = Je("acosh", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("acosh", { number: function (e) { return e >= 1 || r.predictable ? co(e) : e <= -1 ? new n(Math.log(Math.sqrt(e * e - 1) - e), Math.PI) : new n(e, 0).acosh() }, Complex: function (e) { return e.acosh() }, BigNumber: function (e) { return e.acosh() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Oo = Je("acot", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("acot", { number: fo, Complex: function (e) { return e.acot() }, BigNumber: function (e) { return new r(1).div(e).atan() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Co = Je("acoth", ["typed", "config", "Complex", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.Complex, i = e.BigNumber; return t("acoth", { number: function (e) { return e >= 1 || e <= -1 || r.predictable ? lo(e) : new n(e, 0).acoth() }, Complex: function (e) { return e.acoth() }, BigNumber: function (e) { return new i(1).div(e).atanh() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), _o = Je("acsc", ["typed", "config", "Complex", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.Complex, i = e.BigNumber; return t("acsc", { number: function (e) { return e <= -1 || e >= 1 || r.predictable ? po(e) : new n(e, 0).acsc() }, Complex: function (e) { return e.acsc() }, BigNumber: function (e) { return new i(1).div(e).asin() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), To = Je("acsch", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("acsch", { number: mo, Complex: function (e) { return e.acsch() }, BigNumber: function (e) { return new r(1).div(e).asinh() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), qo = Je("asec", ["typed", "config", "Complex", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.Complex, i = e.BigNumber; return t("asec", { number: function (e) { return e <= -1 || e >= 1 || r.predictable ? ho(e) : new n(e, 0).asec() }, Complex: function (e) { return e.asec() }, BigNumber: function (e) { return new i(1).div(e).acos() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), zo = Je("asech", ["typed", "config", "Complex", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.Complex, i = e.BigNumber; return t("asech", { number: function (e) { if (e <= 1 && e >= -1 || r.predictable) { var t = 1 / e; if (t > 0 || r.predictable) return yo(e); var i = Math.sqrt(t * t - 1); return new n(Math.log(i - t), Math.PI) } return new n(e, 0).asech() }, Complex: function (e) { return e.asech() }, BigNumber: function (e) { return new i(1).div(e).acosh() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), ko = Je("asin", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("asin", { number: function (e) { return e >= -1 && e <= 1 || r.predictable ? Math.asin(e) : new n(e, 0).asin() }, Complex: function (e) { return e.asin() }, BigNumber: function (e) { return e.asin() }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Io = Je("asinh", ["typed"], (function (e) { return (0, e.typed)("asinh", { number: go, Complex: function (e) { return e.asinh() }, BigNumber: function (e) { return e.asinh() }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Bo = Je("atan", ["typed"], (function (e) { return (0, e.typed)("atan", { number: function (e) { return Math.atan(e) }, Complex: function (e) { return e.atan() }, BigNumber: function (e) { return e.atan() }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Do = Je("atan2", ["typed", "matrix", "equalScalar", "BigNumber", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.BigNumber, a = e.DenseMatrix, o = Ur({ typed: t, equalScalar: n }), s = Gr({ typed: t }), u = an({ typed: t, equalScalar: n }), c = Mr({ typed: t, equalScalar: n }), f = Zr({ typed: t, DenseMatrix: a }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("atan2", { "number, number": Math.atan2, "BigNumber, BigNumber": function (e, t) { return i.atan2(e, t) }, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return c(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return p(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return f(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return p(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return p(r(e), t, this, !1).valueOf() }, "number | BigNumber, Array": function (e, t) { return p(r(t), e, this, !0).valueOf() } }) })), Ro = Je("atanh", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("atanh", { number: function (e) { return e <= 1 && e >= -1 || r.predictable ? vo(e) : new n(e, 0).atanh() }, Complex: function (e) { return e.atanh() }, BigNumber: function (e) { return e.atanh() }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), jo = Je("cos", ["typed"], (function (e) { return (0, e.typed)("cos", { number: Math.cos, Complex: function (e) { return e.cos() }, BigNumber: function (e) { return e.cos() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function cos is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Po = Je("cosh", ["typed"], (function (e) { return (0, e.typed)("cosh", { number: fe, Complex: function (e) { return e.cosh() }, BigNumber: function (e) { return e.cosh() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function cosh is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Uo = Je("cot", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("cot", { number: xo, Complex: function (e) { return e.cot() }, BigNumber: function (e) { return new r(1).div(e.tan()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function cot is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Fo = Je("coth", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("coth", { number: bo, Complex: function (e) { return e.coth() }, BigNumber: function (e) { return new r(1).div(e.tanh()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function coth is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Lo = Je("csc", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("csc", { number: wo, Complex: function (e) { return e.csc() }, BigNumber: function (e) { return new r(1).div(e.sin()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function csc is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Ho = Je("csch", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("csch", { number: No, Complex: function (e) { return e.csch() }, BigNumber: function (e) { return new r(1).div(e.sinh()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function csch is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), $o = Je("sec", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("sec", { number: Mo, Complex: function (e) { return e.sec() }, BigNumber: function (e) { return new r(1).div(e.cos()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function sec is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Go = Je("sech", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("sech", { number: So, Complex: function (e) { return e.sech() }, BigNumber: function (e) { return new r(1).div(e.cosh()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function sech is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Vo = Je("sin", ["typed"], (function (e) { return (0, e.typed)("sin", { number: Math.sin, Complex: function (e) { return e.sin() }, BigNumber: function (e) { return e.sin() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function sin is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Zo = Je("sinh", ["typed"], (function (e) { return (0, e.typed)("sinh", { number: Eo, Complex: function (e) { return e.sinh() }, BigNumber: function (e) { return e.sinh() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function sinh is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Wo = Je("tan", ["typed"], (function (e) { return (0, e.typed)("tan", { number: Math.tan, Complex: function (e) { return e.tan() }, BigNumber: function (e) { return e.tan() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function tan is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Jo = Je("tanh", ["typed"], (function (e) { return (0, e.typed)("tanh", { number: pe, Complex: function (e) { return e.tanh() }, BigNumber: function (e) { return e.tanh() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function tanh is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Yo = Je("setCartesian", ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index, o = e.DenseMatrix; return t("setCartesian", { "Array | Matrix, Array | Matrix": function (e, t) { var s = []; if (0 !== n(r(e), new a(0)) && 0 !== n(r(t), new a(0))) { var u = Te(Array.isArray(e) ? e : e.toArray()).sort(i), c = Te(Array.isArray(t) ? t : t.toArray()).sort(i); s = []; for (var f = 0; f < u.length; f++)for (var l = 0; l < c.length; l++)s.push([u[f], c[l]]) } return Array.isArray(e) && Array.isArray(t) ? s : new o(s) } }) })), Xo = Je("setDifference", ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index, o = e.DenseMatrix; return t("setDifference", { "Array | Matrix, Array | Matrix": function (e, t) { var s; if (0 === n(r(e), new a(0))) s = []; else { if (0 === n(r(t), new a(0))) return Te(e.toArray()); var u, c = De(Te(Array.isArray(e) ? e : e.toArray()).sort(i)), f = De(Te(Array.isArray(t) ? t : t.toArray()).sort(i)); s = []; for (var l = 0; l < c.length; l++) { u = !1; for (var p = 0; p < f.length; p++)if (0 === i(c[l].value, f[p].value) && c[l].identifier === f[p].identifier) { u = !0; break } u || s.push(c[l]) } } return Array.isArray(e) && Array.isArray(t) ? Re(s) : new o(Re(s)) } }) })), Qo = Je("setDistinct", ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index, o = e.DenseMatrix; return t("setDistinct", { "Array | Matrix": function (e) { var t; if (0 === n(r(e), new a(0))) t = []; else { var s = Te(Array.isArray(e) ? e : e.toArray()).sort(i); (t = []).push(s[0]); for (var u = 1; u < s.length; u++)0 !== i(s[u], s[u - 1]) && t.push(s[u]) } return Array.isArray(e) ? t : new o(t) } }) })), Ko = Je("setIntersect", ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index, o = e.DenseMatrix; return t("setIntersect", { "Array | Matrix, Array | Matrix": function (e, t) { var s; if (0 === n(r(e), new a(0)) || 0 === n(r(t), new a(0))) s = []; else { var u = De(Te(Array.isArray(e) ? e : e.toArray()).sort(i)), c = De(Te(Array.isArray(t) ? t : t.toArray()).sort(i)); s = []; for (var f = 0; f < u.length; f++)for (var l = 0; l < c.length; l++)if (0 === i(u[f].value, c[l].value) && u[f].identifier === c[l].identifier) { s.push(u[f]); break } } return Array.isArray(e) && Array.isArray(t) ? Re(s) : new o(Re(s)) } }) })), es = Je("setIsSubset", ["typed", "size", "subset", "compareNatural", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index; return t("setIsSubset", { "Array | Matrix, Array | Matrix": function (e, t) { if (0 === n(r(e), new a(0))) return !0; if (0 === n(r(t), new a(0))) return !1; for (var o, s = De(Te(Array.isArray(e) ? e : e.toArray()).sort(i)), u = De(Te(Array.isArray(t) ? t : t.toArray()).sort(i)), c = 0; c < s.length; c++) { o = !1; for (var f = 0; f < u.length; f++)if (0 === i(s[c].value, u[f].value) && s[c].identifier === u[f].identifier) { o = !0; break } if (!1 === o) return !1 } return !0 } }) })), ts = Je("setMultiplicity", ["typed", "size", "subset", "compareNatural", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index; return t("setMultiplicity", { "number | BigNumber | Fraction | Complex, Array | Matrix": function (e, t) { if (0 === n(r(t), new a(0))) return 0; for (var o = Te(Array.isArray(t) ? t : t.toArray()), s = 0, u = 0; u < o.length; u++)0 === i(o[u], e) && s++; return s } }) })), rs = Je("setPowerset", ["typed", "size", "subset", "compareNatural", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index; return t("setPowerset", { "Array | Matrix": function (e) { if (0 === n(r(e), new a(0))) return []; for (var t = Te(Array.isArray(e) ? e : e.toArray()).sort(i), s = [], u = 0; u.toString(2).length <= t.length;)s.push(o(t, u.toString(2).split("").reverse())), u++; return function (e) { for (var t = [], r = e.length - 1; r > 0; r--)for (var n = 0; n < r; n++)e[n].length > e[n + 1].length && (t = e[n], e[n] = e[n + 1], e[n + 1] = t); return e }(s) } }); function o(e, t) { for (var r = [], n = 0; n < t.length; n++)"1" === t[n] && r.push(e[n]); return r } })), ns = Je("setSize", ["typed", "compareNatural"], (function (e) { var t = e.typed, r = e.compareNatural; return t("setSize", { "Array | Matrix": function (e) { return Array.isArray(e) ? Te(e).length : Te(e.toArray()).length }, "Array | Matrix, boolean": function (e, t) { if (!1 === t || 0 === e.length) return Array.isArray(e) ? Te(e).length : Te(e.toArray()).length; for (var n = Te(Array.isArray(e) ? e : e.toArray()).sort(r), i = 1, a = 1; a < n.length; a++)0 !== r(n[a], n[a - 1]) && i++; return i } }) })), is = Je("setSymDifference", ["typed", "size", "concat", "subset", "setDifference", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.concat, i = e.subset, a = e.setDifference, o = e.Index; return t("setSymDifference", { "Array | Matrix, Array | Matrix": function (e, t) { if (0 === i(r(e), new o(0))) return Te(t); if (0 === i(r(t), new o(0))) return Te(e); var s = Te(e), u = Te(t); return n(a(s, u), a(u, s)) } }) })), as = Je("setUnion", ["typed", "size", "concat", "subset", "setIntersect", "setSymDifference", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.concat, i = e.subset, a = e.setIntersect, o = e.setSymDifference, s = e.Index; return t("setUnion", { "Array | Matrix, Array | Matrix": function (e, t) { if (0 === i(r(e), new s(0))) return Te(t); if (0 === i(r(t), new s(0))) return Te(e); var u = Te(e), c = Te(t); return n(o(u, c), a(u, c)) } }) })), os = Je("add", ["typed", "matrix", "addScalar", "equalScalar", "DenseMatrix", "SparseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.addScalar, i = e.equalScalar, a = e.DenseMatrix, o = (e.SparseMatrix, Br({ typed: t })), s = Dr({ typed: t, equalScalar: i }), u = Rr({ typed: t, DenseMatrix: a }), c = jr({ typed: t }), f = Sr({ typed: t }); return t("add", He({ "DenseMatrix, DenseMatrix": function (e, t) { return c(e, t, n) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, n, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, n, !0) }, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, n) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "DenseMatrix, any": function (e, t) { return f(e, t, n, !1) }, "SparseMatrix, any": function (e, t) { return u(e, t, n, !1) }, "any, DenseMatrix": function (e, t) { return f(t, e, n, !0) }, "any, SparseMatrix": function (e, t) { return u(t, e, n, !0) }, "Array, any": function (e, t) { return f(r(e), t, n, !1).valueOf() }, "any, Array": function (e, t) { return f(r(t), e, n, !0).valueOf() }, "any, any": n, "any, any, ...any": function (e, t, r) { for (var n = this(e, t), i = 0; i < r.length; i++)n = this(n, r[i]); return n } }, n.signatures)) })), ss = Je("hypot", ["typed", "abs", "addScalar", "divideScalar", "multiplyScalar", "sqrt", "smaller", "isPositive"], (function (e) { var t = e.typed, r = e.abs, n = e.addScalar, i = e.divideScalar, a = e.multiplyScalar, o = e.sqrt, s = e.smaller, u = e.isPositive; return t("hypot", { "... number | BigNumber": function (e) { for (var t = 0, c = 0, f = 0; f < e.length; f++) { var l = r(e[f]); s(c, l) ? (t = a(t, a(i(c, l), i(c, l))), t = n(t, 1), c = l) : t = n(t, u(l) ? a(i(l, c), i(l, c)) : l) } return a(c, o(t)) }, Array: function (e) { return this.apply(this, Te(e)) }, Matrix: function (e) { return this.apply(this, Te(e.toArray())) } }) })), us = Je("norm", ["typed", "abs", "add", "pow", "conj", "sqrt", "multiply", "equalScalar", "larger", "smaller", "matrix", "ctranspose", "eigs"], (function (e) { var t = e.typed, r = e.abs, n = e.add, i = e.pow, a = e.conj, o = e.sqrt, s = e.multiply, u = e.equalScalar, c = e.larger, f = e.smaller, l = e.matrix, p = e.ctranspose, m = e.eigs; return t("norm", { number: Math.abs, Complex: function (e) { return e.abs() }, BigNumber: function (e) { return e.abs() }, boolean: function (e) { return Math.abs(e) }, Array: function (e) { return y(l(e), 2) }, Matrix: function (e) { return y(e, 2) }, "number | Complex | BigNumber | boolean, number | BigNumber | string": function (e) { return this(e) }, "Array, number | BigNumber | string": function (e, t) { return y(l(e), t) }, "Matrix, number | BigNumber | string": function (e, t) { return y(e, t) } }); function h(e, t) { if (t === Number.POSITIVE_INFINITY || "inf" === t) return function (e) { var t = 0; return e.forEach((function (e) { var n = r(e); c(n, t) && (t = n) }), !0), t }(e); if (t === Number.NEGATIVE_INFINITY || "-inf" === t) return function (e) { var t; return e.forEach((function (e) { var n = r(e); t && !f(n, t) || (t = n) }), !0), t || 0 }(e); if ("fro" === t) return y(e, 2); if ("number" == typeof t && !isNaN(t)) { if (!u(t, 0)) { var a = 0; return e.forEach((function (e) { a = n(i(r(e), t), a) }), !0), i(a, 1 / t) } return Number.POSITIVE_INFINITY } throw new Error("Unsupported parameter value") } function d(e, t) { if (1 === t) return function (e) { var t = [], i = 0; return e.forEach((function (e, a) { var o = a[1], s = n(t[o] || 0, r(e)); c(s, i) && (i = s), t[o] = s }), !0), i }(e); if (t === Number.POSITIVE_INFINITY || "inf" === t) return function (e) { var t = [], i = 0; return e.forEach((function (e, a) { var o = a[0], s = n(t[o] || 0, r(e)); c(s, i) && (i = s), t[o] = s }), !0), i }(e); if ("fro" === t) return function (e) { var t = 0; return e.forEach((function (e, r) { t = n(t, s(e, a(e))) })), r(o(t)) }(e); if (2 === t) return function (e) { var t = e.size(); if (t[0] !== t[1]) throw new RangeError("Invalid matrix dimensions"); var n = p(e), i = s(n, e), a = m(i).values, u = a.get([a.size()[0] - 1]); return r(o(u)) }(e); throw new Error("Unsupported parameter value " + t) } function y(e, t) { var r = e.size(); if (1 === r.length) return h(e, t); if (2 === r.length) { if (r[0] && r[1]) return d(e, t); throw new RangeError("Invalid matrix dimensions") } } })), cs = Je("dot", ["typed", "addScalar", "multiplyScalar", "conj", "size"], (function (e) { var t = e.typed, r = e.addScalar, n = e.multiplyScalar, i = e.conj, a = e.size; return t("dot", { "Array | DenseMatrix, Array | DenseMatrix": function (e, a) { var u = o(e, a), c = p(e) ? e._data : e, f = p(e) ? e._datatype : void 0, l = p(a) ? a._data : a, m = p(a) ? a._datatype : void 0, h = 2 === s(e).length, d = 2 === s(a).length, y = r, g = n; if (f && m && f === m && "string" == typeof f) { var v = f; y = t.find(r, [v, v]), g = t.find(n, [v, v]) } if (!h && !d) { for (var x = g(i(c[0]), l[0]), b = 1; b < u; b++)x = y(x, g(i(c[b]), l[b])); return x } if (!h && d) { for (var w = g(i(c[0]), l[0][0]), N = 1; N < u; N++)w = y(w, g(i(c[N]), l[N][0])); return w } if (h && !d) { for (var M = g(i(c[0][0]), l[0]), S = 1; S < u; S++)M = y(M, g(i(c[S][0]), l[S])); return M } if (h && d) { for (var E = g(i(c[0][0]), l[0][0]), A = 1; A < u; A++)E = y(E, g(i(c[A][0]), l[A][0])); return E } }, "SparseMatrix, SparseMatrix": function (e, t) { o(e, t); var i = e._index, a = e._values, s = t._index, u = t._values, c = 0, f = r, l = n, p = 0, m = 0; for (; p < i.length && m < s.length;) { var h = i[p], d = s[m]; h < d ? p++ : h > d ? m++ : h === d && (c = f(c, l(a[p], u[m])), p++, m++) } return c } }); function o(e, t) { var r, n, i = s(e), a = s(t); if (1 === i.length) r = i[0]; else { if (2 !== i.length || 1 !== i[1]) throw new RangeError("Expected a column vector, instead got a matrix of size (" + i.join(", ") + ")"); r = i[0] } if (1 === a.length) n = a[0]; else { if (2 !== a.length || 1 !== a[1]) throw new RangeError("Expected a column vector, instead got a matrix of size (" + a.join(", ") + ")"); n = a[0] } if (r !== n) throw new RangeError("Vectors must have equal length (" + r + " != " + n + ")"); if (0 === r) throw new RangeError("Cannot calculate the dot product of empty vectors"); return r } function s(e) { return p(e) ? e.size() : a(e) } })), fs = Je("trace", ["typed", "matrix", "add"], (function (e) { var t = e.typed, r = e.matrix, n = e.add; return t("trace", { Array: function (e) { return i(r(e)) }, SparseMatrix: function (e) { var t = e._values, r = e._index, i = e._ptr, a = e._size, o = a[0], s = a[1]; if (o === s) { var u = 0; if (t.length > 0) for (var c = 0; c < s; c++)for (var f = i[c], l = i[c + 1], p = f; p < l; p++) { var m = r[p]; if (m === c) { u = n(u, t[p]); break } if (m > c) break } return u } throw new RangeError("Matrix must be square (size: " + ge(a) + ")") }, DenseMatrix: i, any: Fe }); function i(e) { var t = e._size, r = e._data; switch (t.length) { case 1: if (1 === t[0]) return Fe(r[0]); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); case 2: var i = t[0]; if (i === t[1]) { for (var a = 0, o = 0; o < i; o++)a = n(a, r[o][o]); return a } throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); default: throw new RangeError("Matrix must be two dimensional (size: " + ge(t) + ")") } } })), ls = Je("index", ["typed", "Index"], (function (e) { var t = e.typed, r = e.Index; return t("index", { "...number | string | BigNumber | Range | Array | Matrix": function (e) { var t = e.map((function (e) { return o(e) ? e.toNumber() : Array.isArray(e) || p(e) ? e.map((function (e) { return o(e) ? e.toNumber() : e })) : e })), n = new r; return r.apply(n, t), n } }) })), ps = { end: !0 }; function ms(e) { return (ms = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var hs = Je("Node", ["mathWithTransform"], (function (e) { var t = e.mathWithTransform; function r() { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator") } return r.prototype.evaluate = function (e) { return this.compile().evaluate(e) }, r.prototype.type = "Node", r.prototype.isNode = !0, r.prototype.comment = "", r.prototype.compile = function () { var e = this._compile(t, {}), r = {}; return { evaluate: function (t) { var n = t || {}; return function (e) { for (var t in e) if (Ze(e, t) && t in ps) throw new Error('Scope contains an illegal symbol, "' + t + '" is a reserved keyword') }(n), e(n, r, null) } } }, r.prototype._compile = function (e, t) { throw new Error("Method _compile should be implemented by type " + this.type) }, r.prototype.forEach = function (e) { throw new Error("Cannot run forEach on a Node interface") }, r.prototype.map = function (e) { throw new Error("Cannot run map on a Node interface") }, r.prototype._ifNode = function (e) { if (!D(e)) throw new TypeError("Callback function must return a Node"); return e }, r.prototype.traverse = function (e) { e(this, null, null), function e(t, r) { t.forEach((function (t, n, i) { r(t, n, i), e(t, r) })) }(this, e) }, r.prototype.transform = function (e) { return function t(r, n, i) { var a = e(r, n, i); return a !== r ? a : r.map(t) }(this, null, null) }, r.prototype.filter = function (e) { var t = []; return this.traverse((function (r, n, i) { e(r, n, i) && t.push(r) })), t }, r.prototype.clone = function () { throw new Error("Cannot clone a Node interface") }, r.prototype.cloneDeep = function () { return this.map((function (e) { return e.cloneDeep() })) }, r.prototype.equals = function (e) { return !!e && $e(this, e) }, r.prototype.toString = function (e) { var t; if (e && "object" === ms(e)) switch (ms(e.handler)) { case "object": case "undefined": break; case "function": t = e.handler(this, e); break; default: throw new TypeError("Object or function expected as callback") }return void 0 !== t ? t : this._toString(e) }, r.prototype.toJSON = function () { throw new Error("Cannot serialize object: toJSON not implemented by " + this.type) }, r.prototype.toHTML = function (e) { var t; if (e && "object" === ms(e)) switch (ms(e.handler)) { case "object": case "undefined": break; case "function": t = e.handler(this, e); break; default: throw new TypeError("Object or function expected as callback") }return void 0 !== t ? t : this.toHTML(e) }, r.prototype._toString = function () { throw new Error("_toString not implemented for " + this.type) }, r.prototype.toTex = function (e) { var t; if (e && "object" === ms(e)) switch (ms(e.handler)) { case "object": case "undefined": break; case "function": t = e.handler(this, e); break; default: throw new TypeError("Object or function expected as callback") }return void 0 !== t ? t : this._toTex(e) }, r.prototype._toTex = function (e) { throw new Error("_toTex not implemented for " + this.type) }, r.prototype.getIdentifier = function () { return this.type }, r.prototype.getContent = function () { return this }, r }), { isClass: !0, isNode: !0 }); function ds(e) { return e && e.isIndexError ? new Ne(e.index + 1, e.min + 1, void 0 !== e.max ? e.max + 1 : void 0) : e } function ys(e) { return (ys = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } function gs(e) { var t = e.subset; return function (e, r) { try { if (Array.isArray(e)) return t(e, r); if (e && "function" == typeof e.subset) return e.subset(r); if ("string" == typeof e) return t(e, r); if ("object" === ys(e)) { if (!r.isObjectProperty()) throw new TypeError("Cannot apply a numeric index as object property"); return vi(e, r.getObjectProperty()) } throw new TypeError("Cannot apply index: unsupported type of object") } catch (e) { throw ds(e) } } } var vs = Je("AccessorNode", ["subset", "Node"], (function (e) { var t = e.subset, r = e.Node, n = gs({ subset: t }); function i(e, t) { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); if (!D(e)) throw new TypeError('Node expected for parameter "object"'); if (!B(t)) throw new TypeError('IndexNode expected for parameter "index"'); this.object = e || null, this.index = t, Object.defineProperty(this, "name", { get: function () { return this.index ? this.index.isObjectProperty() ? this.index.getObjectProperty() : "" : this.object.name || "" }.bind(this), set: function () { throw new Error("Cannot assign a new name, name is read-only") } }) } function a(e) { return !(O(e) || C(e) || z(e) || I(e) || R(e) || P(e) || F(e)) } return i.prototype = new r, i.prototype.type = "AccessorNode", i.prototype.isAccessorNode = !0, i.prototype._compile = function (e, t) { var r = this.object._compile(e, t), i = this.index._compile(e, t); if (this.index.isObjectProperty()) { var a = this.index.getObjectProperty(); return function (e, t, n) { return vi(r(e, t, n), a) } } return function (e, t, a) { var o = r(e, t, a), s = i(e, t, o); return n(o, s) } }, i.prototype.forEach = function (e) { e(this.object, "object", this), e(this.index, "index", this) }, i.prototype.map = function (e) { return new i(this._ifNode(e(this.object, "object", this)), this._ifNode(e(this.index, "index", this))) }, i.prototype.clone = function () { return new i(this.object, this.index) }, i.prototype._toString = function (e) { var t = this.object.toString(e); return a(this.object) && (t = "(" + t + ")"), t + this.index.toString(e) }, i.prototype.toHTML = function (e) { var t = this.object.toHTML(e); return a(this.object) && (t = '(' + t + ')'), t + this.index.toHTML(e) }, i.prototype._toTex = function (e) { var t = this.object.toTex(e); return a(this.object) && (t = "\\left(' + object + '\\right)"), t + this.index.toTex(e) }, i.prototype.toJSON = function () { return { mathjs: "AccessorNode", object: this.object, index: this.index } }, i.fromJSON = function (e) { return new i(e.object, e.index) }, i }), { isClass: !0, isNode: !0 }), xs = Je("ArrayNode", ["Node"], (function (e) { var t = e.Node; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (this.items = e || [], !Array.isArray(this.items) || !this.items.every(D)) throw new TypeError("Array containing Nodes expected") } return r.prototype = new t, r.prototype.type = "ArrayNode", r.prototype.isArrayNode = !0, r.prototype._compile = function (e, t) { var r = qe(this.items, (function (r) { return r._compile(e, t) })); if ("Array" !== e.config.matrix) { var n = e.matrix; return function (e, t, i) { return n(qe(r, (function (r) { return r(e, t, i) }))) } } return function (e, t, n) { return qe(r, (function (r) { return r(e, t, n) })) } }, r.prototype.forEach = function (e) { for (var t = 0; t < this.items.length; t++) { e(this.items[t], "items[" + t + "]", this) } }, r.prototype.map = function (e) { for (var t = [], n = 0; n < this.items.length; n++)t[n] = this._ifNode(e(this.items[n], "items[" + n + "]", this)); return new r(t) }, r.prototype.clone = function () { return new r(this.items.slice(0)) }, r.prototype._toString = function (e) { return "[" + this.items.map((function (t) { return t.toString(e) })).join(", ") + "]" }, r.prototype.toJSON = function () { return { mathjs: "ArrayNode", items: this.items } }, r.fromJSON = function (e) { return new r(e.items) }, r.prototype.toHTML = function (e) { return '[' + this.items.map((function (t) { return t.toHTML(e) })).join(',') + ']' }, r.prototype._toTex = function (e) { var t = "\\begin{bmatrix}"; return this.items.forEach((function (r) { r.items ? t += r.items.map((function (t) { return t.toTex(e) })).join("&") : t += r.toTex(e), t += "\\\\" })), t += "\\end{bmatrix}" }, r }), { isClass: !0, isNode: !0 }); function bs(e) { return (bs = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var ws = [{ AssignmentNode: {}, FunctionAssignmentNode: {} }, { ConditionalNode: { latexLeftParens: !1, latexRightParens: !1, latexParens: !1 } }, { "OperatorNode:or": { associativity: "left", associativeWith: [] } }, { "OperatorNode:xor": { associativity: "left", associativeWith: [] } }, { "OperatorNode:and": { associativity: "left", associativeWith: [] } }, { "OperatorNode:bitOr": { associativity: "left", associativeWith: [] } }, { "OperatorNode:bitXor": { associativity: "left", associativeWith: [] } }, { "OperatorNode:bitAnd": { associativity: "left", associativeWith: [] } }, { "OperatorNode:equal": { associativity: "left", associativeWith: [] }, "OperatorNode:unequal": { associativity: "left", associativeWith: [] }, "OperatorNode:smaller": { associativity: "left", associativeWith: [] }, "OperatorNode:larger": { associativity: "left", associativeWith: [] }, "OperatorNode:smallerEq": { associativity: "left", associativeWith: [] }, "OperatorNode:largerEq": { associativity: "left", associativeWith: [] }, RelationalNode: { associativity: "left", associativeWith: [] } }, { "OperatorNode:leftShift": { associativity: "left", associativeWith: [] }, "OperatorNode:rightArithShift": { associativity: "left", associativeWith: [] }, "OperatorNode:rightLogShift": { associativity: "left", associativeWith: [] } }, { "OperatorNode:to": { associativity: "left", associativeWith: [] } }, { RangeNode: {} }, { "OperatorNode:add": { associativity: "left", associativeWith: ["OperatorNode:add", "OperatorNode:subtract"] }, "OperatorNode:subtract": { associativity: "left", associativeWith: [] } }, { "OperatorNode:multiply": { associativity: "left", associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "Operator:dotMultiply", "Operator:dotDivide"] }, "OperatorNode:divide": { associativity: "left", associativeWith: [], latexLeftParens: !1, latexRightParens: !1, latexParens: !1 }, "OperatorNode:dotMultiply": { associativity: "left", associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "OperatorNode:dotMultiply", "OperatorNode:doDivide"] }, "OperatorNode:dotDivide": { associativity: "left", associativeWith: [] }, "OperatorNode:mod": { associativity: "left", associativeWith: [] } }, { "OperatorNode:unaryPlus": { associativity: "right" }, "OperatorNode:unaryMinus": { associativity: "right" }, "OperatorNode:bitNot": { associativity: "right" }, "OperatorNode:not": { associativity: "right" } }, { "OperatorNode:pow": { associativity: "right", associativeWith: [], latexRightParens: !1 }, "OperatorNode:dotPow": { associativity: "right", associativeWith: [] } }, { "OperatorNode:factorial": { associativity: "left" } }, { "OperatorNode:transpose": { associativity: "left" } }]; function Ns(e, t) { var r = e; "keep" !== t && (r = e.getContent()); for (var n = r.getIdentifier(), i = 0; i < ws.length; i++)if (n in ws[i]) return i; return null } function Ms(e, t) { var r = e; "keep" !== t && (r = e.getContent()); var n = r.getIdentifier(), i = Ns(r, t); if (null === i) return null; var a = ws[i][n]; if (Ze(a, "associativity")) { if ("left" === a.associativity) return "left"; if ("right" === a.associativity) return "right"; throw Error("'" + n + "' has the invalid associativity '" + a.associativity + "'.") } return null } function Ss(e, t, r) { var n = "keep" !== r ? e.getContent() : e, i = "keep" !== r ? e.getContent() : t, a = n.getIdentifier(), o = i.getIdentifier(), s = Ns(n, r); if (null === s) return null; var u = ws[s][a]; if (Ze(u, "associativeWith") && u.associativeWith instanceof Array) { for (var c = 0; c < u.associativeWith.length; c++)if (u.associativeWith[c] === o) return !0; return !1 } return null } var Es = Je("AssignmentNode", ["subset", "?matrix", "Node"], (function (e) { var t = e.subset, r = e.matrix, n = e.Node, i = gs({ subset: t }), a = function (e) { var t = e.subset, r = e.matrix; return function (e, n, i) { try { if (Array.isArray(e)) return r(e).subset(n, i).valueOf(); if (e && "function" == typeof e.subset) return e.subset(n, i); if ("string" == typeof e) return t(e, n, i); if ("object" === bs(e)) { if (!n.isObjectProperty()) throw TypeError("Cannot apply a numeric index as object property"); return xi(e, n.getObjectProperty(), i), e } throw new TypeError("Cannot apply index: unsupported type of object") } catch (e) { throw ds(e) } } }({ subset: t, matrix: r }); function o(e, t, r) { if (!(this instanceof o)) throw new SyntaxError("Constructor must be called with the new operator"); if (this.object = e, this.index = r ? t : null, this.value = r || t, !F(e) && !O(e)) throw new TypeError('SymbolNode or AccessorNode expected as "object"'); if (F(e) && "end" === e.name) throw new Error('Cannot assign to symbol "end"'); if (this.index && !B(this.index)) throw new TypeError('IndexNode expected as "index"'); if (!D(this.value)) throw new TypeError('Node expected as "value"'); Object.defineProperty(this, "name", { get: function () { return this.index ? this.index.isObjectProperty() ? this.index.getObjectProperty() : "" : this.object.name || "" }.bind(this), set: function () { throw new Error("Cannot assign a new name, name is read-only") } }) } function s(e, t) { t || (t = "keep"); var r = Ns(e, t), n = Ns(e.value, t); return "all" === t || null !== n && n <= r } return o.prototype = new n, o.prototype.type = "AssignmentNode", o.prototype.isAssignmentNode = !0, o.prototype._compile = function (e, t) { var r = this.object._compile(e, t), n = this.index ? this.index._compile(e, t) : null, o = this.value._compile(e, t), s = this.object.name; if (this.index) { if (this.index.isObjectProperty()) { var u = this.index.getObjectProperty(); return function (e, t, n) { var i = r(e, t, n), a = o(e, t, n); return xi(i, u, a) } } if (F(this.object)) return function (e, t, i) { var u = r(e, t, i), c = o(e, t, i), f = n(e, t, u); return xi(e, s, a(u, f, c)), c }; var c = this.object.object._compile(e, t); if (this.object.index.isObjectProperty()) { var f = this.object.index.getObjectProperty(); return function (e, t, r) { var i = c(e, t, r), s = vi(i, f), u = n(e, t, s), l = o(e, t, r); return xi(i, f, a(s, u, l)), l } } var l = this.object.index._compile(e, t); return function (e, t, r) { var s = c(e, t, r), u = l(e, t, s), f = i(s, u), p = n(e, t, f), m = o(e, t, r); return a(s, u, a(f, p, m)), m } } if (!F(this.object)) throw new TypeError("SymbolNode expected as object"); return function (e, t, r) { return xi(e, s, o(e, t, r)) } }, o.prototype.forEach = function (e) { e(this.object, "object", this), this.index && e(this.index, "index", this), e(this.value, "value", this) }, o.prototype.map = function (e) { return new o(this._ifNode(e(this.object, "object", this)), this.index ? this._ifNode(e(this.index, "index", this)) : null, this._ifNode(e(this.value, "value", this))) }, o.prototype.clone = function () { return new o(this.object, this.index, this.value) }, o.prototype._toString = function (e) { var t = this.object.toString(e), r = this.index ? this.index.toString(e) : "", n = this.value.toString(e); return s(this, e && e.parenthesis) && (n = "(" + n + ")"), t + r + " = " + n }, o.prototype.toJSON = function () { return { mathjs: "AssignmentNode", object: this.object, index: this.index, value: this.value } }, o.fromJSON = function (e) { return new o(e.object, e.index, e.value) }, o.prototype.toHTML = function (e) { var t = this.object.toHTML(e), r = this.index ? this.index.toHTML(e) : "", n = this.value.toHTML(e); return s(this, e && e.parenthesis) && (n = '(' + n + ')'), t + r + '=' + n }, o.prototype._toTex = function (e) { var t = this.object.toTex(e), r = this.index ? this.index.toTex(e) : "", n = this.value.toTex(e); return s(this, e && e.parenthesis) && (n = "\\left(".concat(n, "\\right)")), t + r + ":=" + n }, o }), { isClass: !0, isNode: !0 }), As = Je("BlockNode", ["ResultSet", "Node"], (function (e) { var t = e.ResultSet, r = e.Node; function n(e) { if (!(this instanceof n)) throw new SyntaxError("Constructor must be called with the new operator"); if (!Array.isArray(e)) throw new Error("Array expected"); this.blocks = e.map((function (e) { var t = e && e.node, r = !e || void 0 === e.visible || e.visible; if (!D(t)) throw new TypeError('Property "node" must be a Node'); if ("boolean" != typeof r) throw new TypeError('Property "visible" must be a boolean'); return { node: t, visible: r } })) } return n.prototype = new r, n.prototype.type = "BlockNode", n.prototype.isBlockNode = !0, n.prototype._compile = function (e, r) { var n = qe(this.blocks, (function (t) { return { evaluate: t.node._compile(e, r), visible: t.visible } })); return function (e, r, i) { var a = []; return ze(n, (function (t) { var n = t.evaluate(e, r, i); t.visible && a.push(n) })), new t(a) } }, n.prototype.forEach = function (e) { for (var t = 0; t < this.blocks.length; t++)e(this.blocks[t].node, "blocks[" + t + "].node", this) }, n.prototype.map = function (e) { for (var t = [], r = 0; r < this.blocks.length; r++) { var i = this.blocks[r], a = this._ifNode(e(i.node, "blocks[" + r + "].node", this)); t[r] = { node: a, visible: i.visible } } return new n(t) }, n.prototype.clone = function () { return new n(this.blocks.map((function (e) { return { node: e.node, visible: e.visible } }))) }, n.prototype._toString = function (e) { return this.blocks.map((function (t) { return t.node.toString(e) + (t.visible ? "" : ";") })).join("\n") }, n.prototype.toJSON = function () { return { mathjs: "BlockNode", blocks: this.blocks } }, n.fromJSON = function (e) { return new n(e.blocks) }, n.prototype.toHTML = function (e) { return this.blocks.map((function (t) { return t.node.toHTML(e) + (t.visible ? "" : ';') })).join('
') }, n.prototype._toTex = function (e) { return this.blocks.map((function (t) { return t.node.toTex(e) + (t.visible ? "" : ";") })).join("\\;\\;\n") }, n }), { isClass: !0, isNode: !0 }), Os = Je("ConditionalNode", ["Node"], (function (e) { var t = e.Node; function r(e, t, n) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!D(e)) throw new TypeError("Parameter condition must be a Node"); if (!D(t)) throw new TypeError("Parameter trueExpr must be a Node"); if (!D(n)) throw new TypeError("Parameter falseExpr must be a Node"); this.condition = e, this.trueExpr = t, this.falseExpr = n } return r.prototype = new t, r.prototype.type = "ConditionalNode", r.prototype.isConditionalNode = !0, r.prototype._compile = function (e, t) { var r = this.condition._compile(e, t), n = this.trueExpr._compile(e, t), i = this.falseExpr._compile(e, t); return function (e, t, a) { return function (e) { if ("number" == typeof e || "boolean" == typeof e || "string" == typeof e) return !!e; if (e) { if (o(e)) return !e.isZero(); if (s(e)) return !(!e.re && !e.im); if (c(e)) return !!e.value } if (null == e) return !1; throw new TypeError('Unsupported type of condition "' + H(e) + '"') }(r(e, t, a)) ? n(e, t, a) : i(e, t, a) } }, r.prototype.forEach = function (e) { e(this.condition, "condition", this), e(this.trueExpr, "trueExpr", this), e(this.falseExpr, "falseExpr", this) }, r.prototype.map = function (e) { return new r(this._ifNode(e(this.condition, "condition", this)), this._ifNode(e(this.trueExpr, "trueExpr", this)), this._ifNode(e(this.falseExpr, "falseExpr", this))) }, r.prototype.clone = function () { return new r(this.condition, this.trueExpr, this.falseExpr) }, r.prototype._toString = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.condition.toString(e), i = Ns(this.condition, t); ("all" === t || "OperatorNode" === this.condition.type || null !== i && i <= r) && (n = "(" + n + ")"); var a = this.trueExpr.toString(e), o = Ns(this.trueExpr, t); ("all" === t || "OperatorNode" === this.trueExpr.type || null !== o && o <= r) && (a = "(" + a + ")"); var s = this.falseExpr.toString(e), u = Ns(this.falseExpr, t); return ("all" === t || "OperatorNode" === this.falseExpr.type || null !== u && u <= r) && (s = "(" + s + ")"), n + " ? " + a + " : " + s }, r.prototype.toJSON = function () { return { mathjs: "ConditionalNode", condition: this.condition, trueExpr: this.trueExpr, falseExpr: this.falseExpr } }, r.fromJSON = function (e) { return new r(e.condition, e.trueExpr, e.falseExpr) }, r.prototype.toHTML = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.condition.toHTML(e), i = Ns(this.condition, t); ("all" === t || "OperatorNode" === this.condition.type || null !== i && i <= r) && (n = '(' + n + ')'); var a = this.trueExpr.toHTML(e), o = Ns(this.trueExpr, t); ("all" === t || "OperatorNode" === this.trueExpr.type || null !== o && o <= r) && (a = '(' + a + ')'); var s = this.falseExpr.toHTML(e), u = Ns(this.falseExpr, t); return ("all" === t || "OperatorNode" === this.falseExpr.type || null !== u && u <= r) && (s = '(' + s + ')'), n + '?' + a + ':' + s }, r.prototype._toTex = function (e) { return "\\begin{cases} {" + this.trueExpr.toTex(e) + "}, &\\quad{\\text{if }\\;" + this.condition.toTex(e) + "}\\\\{" + this.falseExpr.toTex(e) + "}, &\\quad{\\text{otherwise}}\\end{cases}" }, r }), { isClass: !0, isNode: !0 }), Cs = r(11), _s = r.n(Cs), Ts = { Alpha: "A", alpha: "\\alpha", Beta: "B", beta: "\\beta", Gamma: "\\Gamma", gamma: "\\gamma", Delta: "\\Delta", delta: "\\delta", Epsilon: "E", epsilon: "\\epsilon", varepsilon: "\\varepsilon", Zeta: "Z", zeta: "\\zeta", Eta: "H", eta: "\\eta", Theta: "\\Theta", theta: "\\theta", vartheta: "\\vartheta", Iota: "I", iota: "\\iota", Kappa: "K", kappa: "\\kappa", varkappa: "\\varkappa", Lambda: "\\Lambda", lambda: "\\lambda", Mu: "M", mu: "\\mu", Nu: "N", nu: "\\nu", Xi: "\\Xi", xi: "\\xi", Omicron: "O", omicron: "o", Pi: "\\Pi", pi: "\\pi", varpi: "\\varpi", Rho: "P", rho: "\\rho", varrho: "\\varrho", Sigma: "\\Sigma", sigma: "\\sigma", varsigma: "\\varsigma", Tau: "T", tau: "\\tau", Upsilon: "\\Upsilon", upsilon: "\\upsilon", Phi: "\\Phi", phi: "\\phi", varphi: "\\varphi", Chi: "X", chi: "\\chi", Psi: "\\Psi", psi: "\\psi", Omega: "\\Omega", omega: "\\omega", true: "\\mathrm{True}", false: "\\mathrm{False}", i: "i", inf: "\\infty", Inf: "\\infty", infinity: "\\infty", Infinity: "\\infty", oo: "\\infty", lim: "\\lim", undefined: "\\mathbf{?}" }, qs = { transpose: "^\\top", ctranspose: "^H", factorial: "!", pow: "^", dotPow: ".^\\wedge", unaryPlus: "+", unaryMinus: "-", bitNot: "\\~", not: "\\neg", multiply: "\\cdot", divide: "\\frac", dotMultiply: ".\\cdot", dotDivide: ".:", mod: "\\mod", add: "+", subtract: "-", to: "\\rightarrow", leftShift: "<<", rightArithShift: ">>", rightLogShift: ">>>", equal: "=", unequal: "\\neq", smaller: "<", larger: ">", smallerEq: "\\leq", largerEq: "\\geq", bitAnd: "\\&", bitXor: "\\underline{|}", bitOr: "|", and: "\\wedge", xor: "\\veebar", or: "\\vee" }, zs = { abs: { 1: "\\left|${args[0]}\\right|" }, add: { 2: "\\left(${args[0]}".concat(qs.add, "${args[1]}\\right)") }, cbrt: { 1: "\\sqrt[3]{${args[0]}}" }, ceil: { 1: "\\left\\lceil${args[0]}\\right\\rceil" }, cube: { 1: "\\left(${args[0]}\\right)^3" }, divide: { 2: "\\frac{${args[0]}}{${args[1]}}" }, dotDivide: { 2: "\\left(${args[0]}".concat(qs.dotDivide, "${args[1]}\\right)") }, dotMultiply: { 2: "\\left(${args[0]}".concat(qs.dotMultiply, "${args[1]}\\right)") }, dotPow: { 2: "\\left(${args[0]}".concat(qs.dotPow, "${args[1]}\\right)") }, exp: { 1: "\\exp\\left(${args[0]}\\right)" }, expm1: "\\left(e".concat(qs.pow, "{${args[0]}}-1\\right)"), fix: { 1: "\\mathrm{${name}}\\left(${args[0]}\\right)" }, floor: { 1: "\\left\\lfloor${args[0]}\\right\\rfloor" }, gcd: "\\gcd\\left(${args}\\right)", hypot: "\\hypot\\left(${args}\\right)", log: { 1: "\\ln\\left(${args[0]}\\right)", 2: "\\log_{${args[1]}}\\left(${args[0]}\\right)" }, log10: { 1: "\\log_{10}\\left(${args[0]}\\right)" }, log1p: { 1: "\\ln\\left(${args[0]}+1\\right)", 2: "\\log_{${args[1]}}\\left(${args[0]}+1\\right)" }, log2: "\\log_{2}\\left(${args[0]}\\right)", mod: { 2: "\\left(${args[0]}".concat(qs.mod, "${args[1]}\\right)") }, multiply: { 2: "\\left(${args[0]}".concat(qs.multiply, "${args[1]}\\right)") }, norm: { 1: "\\left\\|${args[0]}\\right\\|", 2: void 0 }, nthRoot: { 2: "\\sqrt[${args[1]}]{${args[0]}}" }, nthRoots: { 2: "\\{y : $y^{args[1]} = {${args[0]}}\\}" }, pow: { 2: "\\left(${args[0]}\\right)".concat(qs.pow, "{${args[1]}}") }, round: { 1: "\\left\\lfloor${args[0]}\\right\\rceil", 2: void 0 }, sign: { 1: "\\mathrm{${name}}\\left(${args[0]}\\right)" }, sqrt: { 1: "\\sqrt{${args[0]}}" }, square: { 1: "\\left(${args[0]}\\right)^2" }, subtract: { 2: "\\left(${args[0]}".concat(qs.subtract, "${args[1]}\\right)") }, unaryMinus: { 1: "".concat(qs.unaryMinus, "\\left(${args[0]}\\right)") }, unaryPlus: { 1: "".concat(qs.unaryPlus, "\\left(${args[0]}\\right)") }, bitAnd: { 2: "\\left(${args[0]}".concat(qs.bitAnd, "${args[1]}\\right)") }, bitNot: { 1: qs.bitNot + "\\left(${args[0]}\\right)" }, bitOr: { 2: "\\left(${args[0]}".concat(qs.bitOr, "${args[1]}\\right)") }, bitXor: { 2: "\\left(${args[0]}".concat(qs.bitXor, "${args[1]}\\right)") }, leftShift: { 2: "\\left(${args[0]}".concat(qs.leftShift, "${args[1]}\\right)") }, rightArithShift: { 2: "\\left(${args[0]}".concat(qs.rightArithShift, "${args[1]}\\right)") }, rightLogShift: { 2: "\\left(${args[0]}".concat(qs.rightLogShift, "${args[1]}\\right)") }, bellNumbers: { 1: "\\mathrm{B}_{${args[0]}}" }, catalan: { 1: "\\mathrm{C}_{${args[0]}}" }, stirlingS2: { 2: "\\mathrm{S}\\left(${args}\\right)" }, arg: { 1: "\\arg\\left(${args[0]}\\right)" }, conj: { 1: "\\left(${args[0]}\\right)^*" }, im: { 1: "\\Im\\left\\lbrace${args[0]}\\right\\rbrace" }, re: { 1: "\\Re\\left\\lbrace${args[0]}\\right\\rbrace" }, and: { 2: "\\left(${args[0]}".concat(qs.and, "${args[1]}\\right)") }, not: { 1: qs.not + "\\left(${args[0]}\\right)" }, or: { 2: "\\left(${args[0]}".concat(qs.or, "${args[1]}\\right)") }, xor: { 2: "\\left(${args[0]}".concat(qs.xor, "${args[1]}\\right)") }, cross: { 2: "\\left(${args[0]}\\right)\\times\\left(${args[1]}\\right)" }, ctranspose: { 1: "\\left(${args[0]}\\right)".concat(qs.ctranspose) }, det: { 1: "\\det\\left(${args[0]}\\right)" }, dot: { 2: "\\left(${args[0]}\\cdot${args[1]}\\right)" }, expm: { 1: "\\exp\\left(${args[0]}\\right)" }, inv: { 1: "\\left(${args[0]}\\right)^{-1}" }, sqrtm: { 1: "{${args[0]}}".concat(qs.pow, "{\\frac{1}{2}}") }, trace: { 1: "\\mathrm{tr}\\left(${args[0]}\\right)" }, transpose: { 1: "\\left(${args[0]}\\right)".concat(qs.transpose) }, combinations: { 2: "\\binom{${args[0]}}{${args[1]}}" }, combinationsWithRep: { 2: "\\left(\\!\\!{\\binom{${args[0]}}{${args[1]}}}\\!\\!\\right)" }, factorial: { 1: "\\left(${args[0]}\\right)".concat(qs.factorial) }, gamma: { 1: "\\Gamma\\left(${args[0]}\\right)" }, equal: { 2: "\\left(${args[0]}".concat(qs.equal, "${args[1]}\\right)") }, larger: { 2: "\\left(${args[0]}".concat(qs.larger, "${args[1]}\\right)") }, largerEq: { 2: "\\left(${args[0]}".concat(qs.largerEq, "${args[1]}\\right)") }, smaller: { 2: "\\left(${args[0]}".concat(qs.smaller, "${args[1]}\\right)") }, smallerEq: { 2: "\\left(${args[0]}".concat(qs.smallerEq, "${args[1]}\\right)") }, unequal: { 2: "\\left(${args[0]}".concat(qs.unequal, "${args[1]}\\right)") }, erf: { 1: "erf\\left(${args[0]}\\right)" }, max: "\\max\\left(${args}\\right)", min: "\\min\\left(${args}\\right)", variance: "\\mathrm{Var}\\left(${args}\\right)", acos: { 1: "\\cos^{-1}\\left(${args[0]}\\right)" }, acosh: { 1: "\\cosh^{-1}\\left(${args[0]}\\right)" }, acot: { 1: "\\cot^{-1}\\left(${args[0]}\\right)" }, acoth: { 1: "\\coth^{-1}\\left(${args[0]}\\right)" }, acsc: { 1: "\\csc^{-1}\\left(${args[0]}\\right)" }, acsch: { 1: "\\mathrm{csch}^{-1}\\left(${args[0]}\\right)" }, asec: { 1: "\\sec^{-1}\\left(${args[0]}\\right)" }, asech: { 1: "\\mathrm{sech}^{-1}\\left(${args[0]}\\right)" }, asin: { 1: "\\sin^{-1}\\left(${args[0]}\\right)" }, asinh: { 1: "\\sinh^{-1}\\left(${args[0]}\\right)" }, atan: { 1: "\\tan^{-1}\\left(${args[0]}\\right)" }, atan2: { 2: "\\mathrm{atan2}\\left(${args}\\right)" }, atanh: { 1: "\\tanh^{-1}\\left(${args[0]}\\right)" }, cos: { 1: "\\cos\\left(${args[0]}\\right)" }, cosh: { 1: "\\cosh\\left(${args[0]}\\right)" }, cot: { 1: "\\cot\\left(${args[0]}\\right)" }, coth: { 1: "\\coth\\left(${args[0]}\\right)" }, csc: { 1: "\\csc\\left(${args[0]}\\right)" }, csch: { 1: "\\mathrm{csch}\\left(${args[0]}\\right)" }, sec: { 1: "\\sec\\left(${args[0]}\\right)" }, sech: { 1: "\\mathrm{sech}\\left(${args[0]}\\right)" }, sin: { 1: "\\sin\\left(${args[0]}\\right)" }, sinh: { 1: "\\sinh\\left(${args[0]}\\right)" }, tan: { 1: "\\tan\\left(${args[0]}\\right)" }, tanh: { 1: "\\tanh\\left(${args[0]}\\right)" }, to: { 2: "\\left(${args[0]}".concat(qs.to, "${args[1]}\\right)") }, numeric: function (e, t) { return e.args[0].toTex() }, number: { 0: "0", 1: "\\left(${args[0]}\\right)", 2: "\\left(\\left(${args[0]}\\right)${args[1]}\\right)" }, string: { 0: '\\mathtt{""}', 1: "\\mathrm{string}\\left(${args[0]}\\right)" }, bignumber: { 0: "0", 1: "\\left(${args[0]}\\right)" }, complex: { 0: "0", 1: "\\left(${args[0]}\\right)", 2: "\\left(\\left(${args[0]}\\right)+".concat(Ts.i, "\\cdot\\left(${args[1]}\\right)\\right)") }, matrix: { 0: "\\begin{bmatrix}\\end{bmatrix}", 1: "\\left(${args[0]}\\right)", 2: "\\left(${args[0]}\\right)" }, sparse: { 0: "\\begin{bsparse}\\end{bsparse}", 1: "\\left(${args[0]}\\right)" }, unit: { 1: "\\left(${args[0]}\\right)", 2: "\\left(\\left(${args[0]}\\right)${args[1]}\\right)" } }, ks = { deg: "^\\circ" }; function Is(e) { return _s()(e, { preserveFormatting: !0 }) } function Bs(e, t) { return (t = void 0 !== t && t) ? Ze(ks, e) ? ks[e] : "\\mathrm{" + Is(e) + "}" : Ze(Ts, e) ? Ts[e] : Is(e) } var Ds = Je("ConstantNode", ["Node"], (function (e) { var t = e.Node; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); this.value = e } return r.prototype = new t, r.prototype.type = "ConstantNode", r.prototype.isConstantNode = !0, r.prototype._compile = function (e, t) { var r = this.value; return function () { return r } }, r.prototype.forEach = function (e) { }, r.prototype.map = function (e) { return this.clone() }, r.prototype.clone = function () { return new r(this.value) }, r.prototype._toString = function (e) { return ge(this.value, e) }, r.prototype.toHTML = function (e) { var t = this._toString(e); switch (H(this.value)) { case "number": case "BigNumber": case "Fraction": return '' + t + ""; case "string": return '' + t + ""; case "boolean": return '' + t + ""; case "null": return '' + t + ""; case "undefined": return '' + t + ""; default: return '' + t + "" } }, r.prototype.toJSON = function () { return { mathjs: "ConstantNode", value: this.value } }, r.fromJSON = function (e) { return new r(e.value) }, r.prototype._toTex = function (e) { var t = this._toString(e); switch (H(this.value)) { case "string": return "\\mathtt{" + Is(t) + "}"; case "number": case "BigNumber": if (!isFinite(this.value)) return this.value.valueOf() < 0 ? "-\\infty" : "\\infty"; var r = t.toLowerCase().indexOf("e"); return -1 !== r ? t.substring(0, r) + "\\cdot10^{" + t.substring(r + 1) + "}" : t; case "Fraction": return this.value.toLatex(); default: return t } }, r }), { isClass: !0, isNode: !0 }), Rs = Je("FunctionAssignmentNode", ["typed", "Node"], (function (e) { var t = e.typed, r = e.Node; function n(e, t, r) { if (!(this instanceof n)) throw new SyntaxError("Constructor must be called with the new operator"); if ("string" != typeof e) throw new TypeError('String expected for parameter "name"'); if (!Array.isArray(t)) throw new TypeError('Array containing strings or objects expected for parameter "params"'); if (!D(r)) throw new TypeError('Node expected for parameter "expr"'); if (e in ps) throw new Error('Illegal function name, "' + e + '" is a reserved keyword'); this.name = e, this.params = t.map((function (e) { return e && e.name || e })), this.types = t.map((function (e) { return e && e.type || "any" })), this.expr = r } function i(e, t) { var r = Ns(e, t), n = Ns(e.expr, t); return "all" === t || null !== n && n <= r } return n.prototype = new r, n.prototype.type = "FunctionAssignmentNode", n.prototype.isFunctionAssignmentNode = !0, n.prototype._compile = function (e, r) { var n = Object.create(r); ze(this.params, (function (e) { n[e] = !0 })); var i = this.expr._compile(e, n), a = this.name, o = this.params, s = Be(this.types, ","), u = a + "(" + Be(this.params, ", ") + ")"; return function (e, r, n) { var c = {}; c[s] = function () { for (var t = Object.create(r), a = 0; a < o.length; a++)t[o[a]] = arguments[a]; return i(e, t, n) }; var f = t(a, c); return f.syntax = u, xi(e, a, f), f } }, n.prototype.forEach = function (e) { e(this.expr, "expr", this) }, n.prototype.map = function (e) { var t = this._ifNode(e(this.expr, "expr", this)); return new n(this.name, this.params.slice(0), t) }, n.prototype.clone = function () { return new n(this.name, this.params.slice(0), this.expr) }, n.prototype._toString = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = this.expr.toString(e); return i(this, t) && (r = "(" + r + ")"), this.name + "(" + this.params.join(", ") + ") = " + r }, n.prototype.toJSON = function () { var e = this.types; return { mathjs: "FunctionAssignmentNode", name: this.name, params: this.params.map((function (t, r) { return { name: t, type: e[r] } })), expr: this.expr } }, n.fromJSON = function (e) { return new n(e.name, e.params, e.expr) }, n.prototype.toHTML = function (e) { for (var t = e && e.parenthesis ? e.parenthesis : "keep", r = [], n = 0; n < this.params.length; n++)r.push('' + xe(this.params[n]) + ""); var a = this.expr.toHTML(e); return i(this, t) && (a = '(' + a + ')'), '' + xe(this.name) + '(' + r.join(',') + ')=' + a }, n.prototype._toTex = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = this.expr.toTex(e); return i(this, t) && (r = "\\left(".concat(r, "\\right)")), "\\mathrm{" + this.name + "}\\left(" + this.params.map(Bs).join(",") + "\\right):=" + r }, n }), { isClass: !0, isNode: !0 }); function js(e) { return function (e) { if (Array.isArray(e)) return Ps(e) }(e) || function (e) { if ("undefined" != typeof Symbol && Symbol.iterator in Object(e)) return Array.from(e) }(e) || function (e, t) { if (!e) return; if ("string" == typeof e) return Ps(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return Ps(e, t) }(e) || function () { throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function Ps(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var Us = Je("IndexNode", ["Range", "Node", "size"], (function (e) { var t = e.Range, r = e.Node, n = e.size; function i(e, t) { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); if (this.dimensions = e, this.dotNotation = t || !1, !Array.isArray(e) || !e.every(D)) throw new TypeError('Array containing Nodes expected for parameter "dimensions"'); if (this.dotNotation && !this.isObjectProperty()) throw new Error("dotNotation only applicable for object properties") } function a(e, r, n) { return new t(o(e) ? e.toNumber() : e, o(r) ? r.toNumber() : r, o(n) ? n.toNumber() : n) } return i.prototype = new r, i.prototype.type = "IndexNode", i.prototype.isIndexNode = !0, i.prototype._compile = function (e, t) { var r = qe(this.dimensions, (function (r, i) { if (U(r)) { if (r.needsEnd()) { var o = Object.create(t); o.end = !0; var s = r.start._compile(e, o), u = r.end._compile(e, o), c = r.step ? r.step._compile(e, o) : function () { return 1 }; return function (e, t, r) { var o = n(r).valueOf(), f = Object.create(t); return f.end = o[i], a(s(e, f, r), u(e, f, r), c(e, f, r)) } } var f = r.start._compile(e, t), l = r.end._compile(e, t), p = r.step ? r.step._compile(e, t) : function () { return 1 }; return function (e, t, r) { return a(f(e, t, r), l(e, t, r), p(e, t, r)) } } if (F(r) && "end" === r.name) { var m = Object.create(t); m.end = !0; var h = r._compile(e, m); return function (e, t, r) { var a = n(r).valueOf(), o = Object.create(t); return o.end = a[i], h(e, o, r) } } var d = r._compile(e, t); return function (e, t, r) { return d(e, t, r) } })), i = vi(e, "index"); return function (e, t, n) { var a = qe(r, (function (r) { return r(e, t, n) })); return i.apply(void 0, js(a)) } }, i.prototype.forEach = function (e) { for (var t = 0; t < this.dimensions.length; t++)e(this.dimensions[t], "dimensions[" + t + "]", this) }, i.prototype.map = function (e) { for (var t = [], r = 0; r < this.dimensions.length; r++)t[r] = this._ifNode(e(this.dimensions[r], "dimensions[" + r + "]", this)); return new i(t, this.dotNotation) }, i.prototype.clone = function () { return new i(this.dimensions.slice(0), this.dotNotation) }, i.prototype.isObjectProperty = function () { return 1 === this.dimensions.length && z(this.dimensions[0]) && "string" == typeof this.dimensions[0].value }, i.prototype.getObjectProperty = function () { return this.isObjectProperty() ? this.dimensions[0].value : null }, i.prototype._toString = function (e) { return this.dotNotation ? "." + this.getObjectProperty() : "[" + this.dimensions.join(", ") + "]" }, i.prototype.toJSON = function () { return { mathjs: "IndexNode", dimensions: this.dimensions, dotNotation: this.dotNotation } }, i.fromJSON = function (e) { return new i(e.dimensions, e.dotNotation) }, i.prototype.toHTML = function (e) { for (var t = [], r = 0; r < this.dimensions.length; r++)t[r] = this.dimensions[r].toHTML(); return this.dotNotation ? '.' + xe(this.getObjectProperty()) + "" : '[' + t.join(',') + ']' }, i.prototype._toTex = function (e) { var t = this.dimensions.map((function (t) { return t.toTex(e) })); return this.dotNotation ? "." + this.getObjectProperty() : "_{" + t.join(",") + "}" }, i }), { isClass: !0, isNode: !0 }); function Fs(e) { return (Fs = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var Ls = Je("ObjectNode", ["Node"], (function (e) { var t = e.Node; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (this.properties = e || {}, e && ("object" !== Fs(e) || !Object.keys(e).every((function (t) { return D(e[t]) })))) throw new TypeError("Object containing Nodes expected") } return r.prototype = new t, r.prototype.type = "ObjectNode", r.prototype.isObjectNode = !0, r.prototype._compile = function (e, t) { var r = {}; for (var n in this.properties) if (Ze(this.properties, n)) { var i = ve(n), a = JSON.parse(i); if (!bi(this.properties, a)) throw new Error('No access to property "' + a + '"'); r[a] = this.properties[n]._compile(e, t) } return function (e, t, n) { var i = {}; for (var a in r) Ze(r, a) && (i[a] = r[a](e, t, n)); return i } }, r.prototype.forEach = function (e) { for (var t in this.properties) Ze(this.properties, t) && e(this.properties[t], "properties[" + ve(t) + "]", this) }, r.prototype.map = function (e) { var t = {}; for (var n in this.properties) Ze(this.properties, n) && (t[n] = this._ifNode(e(this.properties[n], "properties[" + ve(n) + "]", this))); return new r(t) }, r.prototype.clone = function () { var e = {}; for (var t in this.properties) Ze(this.properties, t) && (e[t] = this.properties[t]); return new r(e) }, r.prototype._toString = function (e) { var t = []; for (var r in this.properties) Ze(this.properties, r) && t.push(ve(r) + ": " + this.properties[r].toString(e)); return "{" + t.join(", ") + "}" }, r.prototype.toJSON = function () { return { mathjs: "ObjectNode", properties: this.properties } }, r.fromJSON = function (e) { return new r(e.properties) }, r.prototype.toHTML = function (e) { var t = []; for (var r in this.properties) Ze(this.properties, r) && t.push('' + xe(r) + ':' + this.properties[r].toHTML(e)); return '{' + t.join(',') + '}' }, r.prototype._toTex = function (e) { var t = []; for (var r in this.properties) Ze(this.properties, r) && t.push("\\mathbf{" + r + ":} & " + this.properties[r].toTex(e) + "\\\\"); return "\\left\\{\\begin{array}{ll}".concat(t.join("\n"), "\\end{array}\\right\\}") }, r }), { isClass: !0, isNode: !0 }), Hs = Je("OperatorNode", ["Node"], (function (e) { var t = e.Node; function r(e, t, n, i) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if ("string" != typeof e) throw new TypeError('string expected for parameter "op"'); if ("string" != typeof t) throw new TypeError('string expected for parameter "fn"'); if (!Array.isArray(n) || !n.every(D)) throw new TypeError('Array containing Nodes expected for parameter "args"'); this.implicit = !0 === i, this.op = e, this.fn = t, this.args = n || [] } function n(e, t, r, n, i) { var a, o = Ns(e, t), s = Ms(e, t); if ("all" === t || n.length > 2 && "OperatorNode:add" !== e.getIdentifier() && "OperatorNode:multiply" !== e.getIdentifier()) return n.map((function (e) { switch (e.getContent().type) { case "ArrayNode": case "ConstantNode": case "SymbolNode": case "ParenthesisNode": return !1; default: return !0 } })); switch (n.length) { case 0: a = []; break; case 1: var u = Ns(n[0], t); if (i && null !== u) { var c, f; if ("keep" === t ? (c = n[0].getIdentifier(), f = e.getIdentifier()) : (c = n[0].getContent().getIdentifier(), f = e.getContent().getIdentifier()), !1 === ws[o][f].latexLeftParens) { a = [!1]; break } if (!1 === ws[u][c].latexParens) { a = [!1]; break } } if (null === u) { a = [!1]; break } if (u <= o) { a = [!0]; break } a = [!1]; break; case 2: var l, p, m = Ns(n[0], t), h = Ss(e, n[0], t); l = null !== m && (m === o && "right" === s && !h || m < o); var d, y, g, v = Ns(n[1], t), x = Ss(e, n[1], t); if (p = null !== v && (v === o && "left" === s && !x || v < o), i) "keep" === t ? (d = e.getIdentifier(), y = e.args[0].getIdentifier(), g = e.args[1].getIdentifier()) : (d = e.getContent().getIdentifier(), y = e.args[0].getContent().getIdentifier(), g = e.args[1].getContent().getIdentifier()), null !== m && (!1 === ws[o][d].latexLeftParens && (l = !1), !1 === ws[m][y].latexParens && (l = !1)), null !== v && (!1 === ws[o][d].latexRightParens && (p = !1), !1 === ws[v][g].latexParens && (p = !1)); a = [l, p]; break; default: "OperatorNode:add" !== e.getIdentifier() && "OperatorNode:multiply" !== e.getIdentifier() || (a = n.map((function (r) { var n = Ns(r, t), i = Ss(e, r, t), a = Ms(r, t); return null !== n && (o === n && s === a && !i || n < o) }))) }return n.length >= 2 && "OperatorNode:multiply" === e.getIdentifier() && e.implicit && "auto" === t && "hide" === r && (a = n.map((function (e, t) { var r = "ParenthesisNode" === e.getIdentifier(); return !(!a[t] && !r) }))), a } return r.prototype = new t, r.prototype.type = "OperatorNode", r.prototype.isOperatorNode = !0, r.prototype._compile = function (e, t) { if ("string" != typeof this.fn || !wi(e, this.fn)) throw e[this.fn] ? new Error('No access to function "' + this.fn + '"') : new Error("Function " + this.fn + ' missing in provided namespace "math"'); var r = vi(e, this.fn), n = qe(this.args, (function (r) { return r._compile(e, t) })); if (1 === n.length) { var i = n[0]; return function (e, t, n) { return r(i(e, t, n)) } } if (2 === n.length) { var a = n[0], o = n[1]; return function (e, t, n) { return r(a(e, t, n), o(e, t, n)) } } return function (e, t, i) { return r.apply(null, qe(n, (function (r) { return r(e, t, i) }))) } }, r.prototype.forEach = function (e) { for (var t = 0; t < this.args.length; t++)e(this.args[t], "args[" + t + "]", this) }, r.prototype.map = function (e) { for (var t = [], n = 0; n < this.args.length; n++)t[n] = this._ifNode(e(this.args[n], "args[" + n + "]", this)); return new r(this.op, this.fn, t, this.implicit) }, r.prototype.clone = function () { return new r(this.op, this.fn, this.args.slice(0), this.implicit) }, r.prototype.isUnary = function () { return 1 === this.args.length }, r.prototype.isBinary = function () { return 2 === this.args.length }, r.prototype._toString = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = e && e.implicit ? e.implicit : "hide", i = this.args, a = n(this, t, r, i, !1); if (1 === i.length) { var o = Ms(this, t), s = i[0].toString(e); a[0] && (s = "(" + s + ")"); var u = /[a-zA-Z]+/.test(this.op); return "right" === o ? this.op + (u ? " " : "") + s : "left" === o ? s + (u ? " " : "") + this.op : s + this.op } if (2 === i.length) { var c = i[0].toString(e), f = i[1].toString(e); return a[0] && (c = "(" + c + ")"), a[1] && (f = "(" + f + ")"), this.implicit && "OperatorNode:multiply" === this.getIdentifier() && "hide" === r ? c + " " + f : c + " " + this.op + " " + f } if (i.length > 2 && ("OperatorNode:add" === this.getIdentifier() || "OperatorNode:multiply" === this.getIdentifier())) { var l = i.map((function (t, r) { return t = t.toString(e), a[r] && (t = "(" + t + ")"), t })); return this.implicit && "OperatorNode:multiply" === this.getIdentifier() && "hide" === r ? l.join(" ") : l.join(" " + this.op + " ") } return this.fn + "(" + this.args.join(", ") + ")" }, r.prototype.toJSON = function () { return { mathjs: "OperatorNode", op: this.op, fn: this.fn, args: this.args, implicit: this.implicit } }, r.fromJSON = function (e) { return new r(e.op, e.fn, e.args, e.implicit) }, r.prototype.toHTML = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = e && e.implicit ? e.implicit : "hide", i = this.args, a = n(this, t, r, i, !1); if (1 === i.length) { var o = Ms(this, t), s = i[0].toHTML(e); return a[0] && (s = '(' + s + ')'), "right" === o ? '' + xe(this.op) + "" + s : s + '' + xe(this.op) + "" } if (2 === i.length) { var u = i[0].toHTML(e), c = i[1].toHTML(e); return a[0] && (u = '(' + u + ')'), a[1] && (c = '(' + c + ')'), this.implicit && "OperatorNode:multiply" === this.getIdentifier() && "hide" === r ? u + '' + c : u + '' + xe(this.op) + "" + c } var f = i.map((function (t, r) { return t = t.toHTML(e), a[r] && (t = '(' + t + ')'), t })); return i.length > 2 && ("OperatorNode:add" === this.getIdentifier() || "OperatorNode:multiply" === this.getIdentifier()) ? this.implicit && "OperatorNode:multiply" === this.getIdentifier() && "hide" === r ? f.join('') : f.join('' + xe(this.op) + "") : '' + xe(this.fn) + '(' + f.join(',') + ')' }, r.prototype._toTex = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = e && e.implicit ? e.implicit : "hide", i = this.args, a = n(this, t, r, i, !0), o = qs[this.fn]; if (o = void 0 === o ? this.op : o, 1 === i.length) { var s = Ms(this, t), u = i[0].toTex(e); return a[0] && (u = "\\left(".concat(u, "\\right)")), "right" === s ? o + u : u + o } if (2 === i.length) { var c = i[0], f = c.toTex(e); a[0] && (f = "\\left(".concat(f, "\\right)")); var l, p = i[1].toTex(e); switch (a[1] && (p = "\\left(".concat(p, "\\right)")), l = "keep" === t ? c.getIdentifier() : c.getContent().getIdentifier(), this.getIdentifier()) { case "OperatorNode:divide": return o + "{" + f + "}{" + p + "}"; case "OperatorNode:pow": switch (f = "{" + f + "}", p = "{" + p + "}", l) { case "ConditionalNode": case "OperatorNode:divide": f = "\\left(".concat(f, "\\right)") }break; case "OperatorNode:multiply": if (this.implicit && "hide" === r) return f + "~" + p }return f + o + p } if (i.length > 2 && ("OperatorNode:add" === this.getIdentifier() || "OperatorNode:multiply" === this.getIdentifier())) { var m = i.map((function (t, r) { return t = t.toTex(e), a[r] && (t = "\\left(".concat(t, "\\right)")), t })); return "OperatorNode:multiply" === this.getIdentifier() && this.implicit ? m.join("~") : m.join(o) } return "\\mathrm{" + this.fn + "}\\left(" + i.map((function (t) { return t.toTex(e) })).join(",") + "\\right)" }, r.prototype.getIdentifier = function () { return this.type + ":" + this.fn }, r }), { isClass: !0, isNode: !0 }), $s = Je("ParenthesisNode", ["Node"], (function (e) { var t = e.Node; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!D(e)) throw new TypeError('Node expected for parameter "content"'); this.content = e } return r.prototype = new t, r.prototype.type = "ParenthesisNode", r.prototype.isParenthesisNode = !0, r.prototype._compile = function (e, t) { return this.content._compile(e, t) }, r.prototype.getContent = function () { return this.content.getContent() }, r.prototype.forEach = function (e) { e(this.content, "content", this) }, r.prototype.map = function (e) { return new r(e(this.content, "content", this)) }, r.prototype.clone = function () { return new r(this.content) }, r.prototype._toString = function (e) { return !e || e && !e.parenthesis || e && "keep" === e.parenthesis ? "(" + this.content.toString(e) + ")" : this.content.toString(e) }, r.prototype.toJSON = function () { return { mathjs: "ParenthesisNode", content: this.content } }, r.fromJSON = function (e) { return new r(e.content) }, r.prototype.toHTML = function (e) { return !e || e && !e.parenthesis || e && "keep" === e.parenthesis ? '(' + this.content.toHTML(e) + ')' : this.content.toHTML(e) }, r.prototype._toTex = function (e) { return !e || e && !e.parenthesis || e && "keep" === e.parenthesis ? "\\left(".concat(this.content.toTex(e), "\\right)") : this.content.toTex(e) }, r }), { isClass: !0, isNode: !0 }), Gs = Je("RangeNode", ["Node"], (function (e) { var t = e.Node; function r(e, t, n) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!D(e)) throw new TypeError("Node expected"); if (!D(t)) throw new TypeError("Node expected"); if (n && !D(n)) throw new TypeError("Node expected"); if (arguments.length > 3) throw new Error("Too many arguments"); this.start = e, this.end = t, this.step = n || null } function n(e, t) { var r = Ns(e, t), n = {}, i = Ns(e.start, t); if (n.start = null !== i && i <= r || "all" === t, e.step) { var a = Ns(e.step, t); n.step = null !== a && a <= r || "all" === t } var o = Ns(e.end, t); return n.end = null !== o && o <= r || "all" === t, n } return r.prototype = new t, r.prototype.type = "RangeNode", r.prototype.isRangeNode = !0, r.prototype.needsEnd = function () { return this.filter((function (e) { return F(e) && "end" === e.name })).length > 0 }, r.prototype._compile = function (e, t) { var r = e.range, n = this.start._compile(e, t), i = this.end._compile(e, t); if (this.step) { var a = this.step._compile(e, t); return function (e, t, o) { return r(n(e, t, o), i(e, t, o), a(e, t, o)) } } return function (e, t, a) { return r(n(e, t, a), i(e, t, a)) } }, r.prototype.forEach = function (e) { e(this.start, "start", this), e(this.end, "end", this), this.step && e(this.step, "step", this) }, r.prototype.map = function (e) { return new r(this._ifNode(e(this.start, "start", this)), this._ifNode(e(this.end, "end", this)), this.step && this._ifNode(e(this.step, "step", this))) }, r.prototype.clone = function () { return new r(this.start, this.end, this.step && this.step) }, r.prototype._toString = function (e) { var t, r = n(this, e && e.parenthesis ? e.parenthesis : "keep"), i = this.start.toString(e); if (r.start && (i = "(" + i + ")"), t = i, this.step) { var a = this.step.toString(e); r.step && (a = "(" + a + ")"), t += ":" + a } var o = this.end.toString(e); return r.end && (o = "(" + o + ")"), t += ":" + o }, r.prototype.toJSON = function () { return { mathjs: "RangeNode", start: this.start, end: this.end, step: this.step } }, r.fromJSON = function (e) { return new r(e.start, e.end, e.step) }, r.prototype.toHTML = function (e) { var t, r = n(this, e && e.parenthesis ? e.parenthesis : "keep"), i = this.start.toHTML(e); if (r.start && (i = '(' + i + ')'), t = i, this.step) { var a = this.step.toHTML(e); r.step && (a = '(' + a + ')'), t += ':' + a } var o = this.end.toHTML(e); return r.end && (o = '(' + o + ')'), t += ':' + o }, r.prototype._toTex = function (e) { var t = n(this, e && e.parenthesis ? e.parenthesis : "keep"), r = this.start.toTex(e); if (t.start && (r = "\\left(".concat(r, "\\right)")), this.step) { var i = this.step.toTex(e); t.step && (i = "\\left(".concat(i, "\\right)")), r += ":" + i } var a = this.end.toTex(e); return t.end && (a = "\\left(".concat(a, "\\right)")), r += ":" + a }, r }), { isClass: !0, isNode: !0 }), Vs = Je("RelationalNode", ["Node"], (function (e) { var t = e.Node; function r(e, t) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!Array.isArray(e)) throw new TypeError("Parameter conditionals must be an array"); if (!Array.isArray(t)) throw new TypeError("Parameter params must be an array"); if (e.length !== t.length - 1) throw new TypeError("Parameter params must contain exactly one more element than parameter conditionals"); this.conditionals = e, this.params = t } return r.prototype = new t, r.prototype.type = "RelationalNode", r.prototype.isRelationalNode = !0, r.prototype._compile = function (e, t) { var r = this, n = this.params.map((function (r) { return r._compile(e, t) })); return function (t, i, a) { for (var o, s = n[0](t, i, a), u = 0; u < r.conditionals.length; u++) { if (o = s, s = n[u + 1](t, i, a), !vi(e, r.conditionals[u])(o, s)) return !1 } return !0 } }, r.prototype.forEach = function (e) { var t = this; this.params.forEach((function (r, n) { return e(r, "params[" + n + "]", t) }), this) }, r.prototype.map = function (e) { var t = this; return new r(this.conditionals.slice(), this.params.map((function (r, n) { return t._ifNode(e(r, "params[" + n + "]", t)) }), this)) }, r.prototype.clone = function () { return new r(this.conditionals, this.params) }, r.prototype._toString = function (e) { for (var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.params.map((function (n, i) { var a = Ns(n, t); return "all" === t || null !== a && a <= r ? "(" + n.toString(e) + ")" : n.toString(e) })), i = { equal: "==", unequal: "!=", smaller: "<", larger: ">", smallerEq: "<=", largerEq: ">=" }, a = n[0], o = 0; o < this.conditionals.length; o++)a += " " + i[this.conditionals[o]] + " " + n[o + 1]; return a }, r.prototype.toJSON = function () { return { mathjs: "RelationalNode", conditionals: this.conditionals, params: this.params } }, r.fromJSON = function (e) { return new r(e.conditionals, e.params) }, r.prototype.toHTML = function (e) { for (var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.params.map((function (n, i) { var a = Ns(n, t); return "all" === t || null !== a && a <= r ? '(' + n.toHTML(e) + ')' : n.toHTML(e) })), i = { equal: "==", unequal: "!=", smaller: "<", larger: ">", smallerEq: "<=", largerEq: ">=" }, a = n[0], o = 0; o < this.conditionals.length; o++)a += '' + xe(i[this.conditionals[o]]) + "" + n[o + 1]; return a }, r.prototype._toTex = function (e) { for (var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.params.map((function (n, i) { var a = Ns(n, t); return "all" === t || null !== a && a <= r ? "\\left(" + n.toTex(e) + "\right)" : n.toTex(e) })), i = n[0], a = 0; a < this.conditionals.length; a++)i += qs[this.conditionals[a]] + n[a + 1]; return i }, r }), { isClass: !0, isNode: !0 }), Zs = Je("SymbolNode", ["math", "?Unit", "Node"], (function (e) { var t = e.math, r = e.Unit, n = e.Node; function i(e) { return !!r && r.isValuelessUnit(e) } function a(e) { if (!(this instanceof a)) throw new SyntaxError("Constructor must be called with the new operator"); if ("string" != typeof e) throw new TypeError('String expected for parameter "name"'); this.name = e } return a.prototype = new n, a.prototype.type = "SymbolNode", a.prototype.isSymbolNode = !0, a.prototype._compile = function (e, t) { var n = this.name; if (!0 === t[n]) return function (e, t, r) { return t[n] }; if (n in e) return function (t, r, i) { return vi(n in t ? t : e, n) }; var a = i(n); return function (e, t, i) { return n in e ? vi(e, n) : a ? new r(null, n) : function (e) { throw new Error("Undefined symbol " + e) }(n) } }, a.prototype.forEach = function (e) { }, a.prototype.map = function (e) { return this.clone() }, a.prototype.clone = function () { return new a(this.name) }, a.prototype._toString = function (e) { return this.name }, a.prototype.toHTML = function (e) { var t = xe(this.name); return "true" === t || "false" === t ? '' + t + "" : "i" === t ? '' + t + "" : "Infinity" === t ? '' + t + "" : "NaN" === t ? '' + t + "" : "null" === t ? '' + t + "" : "undefined" === t ? '' + t + "" : '' + t + "" }, a.prototype.toJSON = function () { return { mathjs: "SymbolNode", name: this.name } }, a.fromJSON = function (e) { return new a(e.name) }, a.prototype._toTex = function (e) { var r = !1; void 0 === t[this.name] && i(this.name) && (r = !0); var n = Bs(this.name, r); return "\\" === n[0] ? n : " " + n }, a }), { isClass: !0, isNode: !0 }); function Ws(e) { return (Ws = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? 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"(" + this.fn.toString(e) + ")" : this.fn.toString(e)) + "(" + t.join(", ") + ")" }, i.prototype.toJSON = function () { return { mathjs: "FunctionNode", fn: this.fn, args: this.args } }, i.fromJSON = function (e) { return new i(e.fn, e.args) }, i.prototype.toHTML = function (e) { var t = this.args.map((function (t) { return t.toHTML(e) })); return '' + xe(this.fn) + '(' + t.join(',') + ')' }; var s = i.prototype.toTex; return i.prototype.toTex = function (e) { var t; return e && "object" === Ws(e.handler) && Ze(e.handler, this.name) && (t = e.handler[this.name](this, e)), void 0 !== t ? t : s.call(this, e) }, i.prototype._toTex = function (e) { var r, n, i = this.args.map((function (t) { return t.toTex(e) })); switch (zs[this.name] && (r = zs[this.name]), !t[this.name] || "function" != typeof t[this.name].toTex && "object" !== Ws(t[this.name].toTex) && "string" != typeof t[this.name].toTex || (r = t[this.name].toTex), Ws(r)) { case "function": n = r(this, e); break; case "string": n = o(r, this, e); break; case "object": switch (Ws(r[i.length])) { case "function": n = r[i.length](this, e); break; case "string": n = o(r[i.length], this, e) } }return void 0 !== n ? 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e.tokenType = N : e.tokenType = S } } else e.tokenType = N } function U(e) { do { P(e) } while ("\n" === e.token) } function L(e) { e.nestingLevel++ } function H(e) { e.nestingLevel-- } function $(e, t) { var r = { extraNodes: {}, expression: "", comment: "", index: 0, token: "", tokenType: w, nestingLevel: 0, conditionalLevel: null }; Xs(r, { expression: e, extraNodes: t }), P(r); var n = function (e) { var t, r, n = []; "" !== e.token && "\n" !== e.token && ";" !== e.token && ((t = G(e)).comment = e.comment); for (; "\n" === e.token || ";" === e.token;)0 === n.length && t && (r = ";" !== e.token, n.push({ node: t, visible: r })), P(e), "\n" !== e.token && ";" !== e.token && "" !== e.token && ((t = G(e)).comment = e.comment, r = ";" !== e.token, n.push({ node: t, visible: r })); return n.length > 0 ? new s(n) : (t || ((t = new c(void 0)).comment = e.comment), t) }(r); if ("" !== r.token) throw r.tokenType === N ? pe(r, "Unexpected operator " + r.token) : le(r, 'Unexpected part "' + r.token + '"'); return n } function G(e) { var t, r, n, i, a = function (e) { var t = function (e) { var t = V(e); for (; "or" === e.token;)U(e), t = new h("or", "or", [t, V(e)]); return t }(e); for (; "?" === e.token;) { var r = e.conditionalLevel; e.conditionalLevel = e.nestingLevel, U(e); var n = t, i = G(e); if (":" !== e.token) throw le(e, "False part of conditional expression expected"); e.conditionalLevel = null, U(e); var a = G(e); t = new u(n, i, a), e.conditionalLevel = r } return t }(e); if ("=" === e.token) { if (F(a)) return t = a.name, U(e), n = G(e), new o(new v(t), n); if (O(a)) return U(e), n = G(e), new o(a.object, a.index, n); if (I(a) && F(a.fn) && (i = !0, r = [], t = a.name, a.args.forEach((function (e, t) { F(e) ? 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t = new h("*", "multiply", [t, new v("in")], !0) : (i = [t, ee(e)], t = new h(r, n, i)); return t } function ee(e) { var t, r = []; if (t = ":" === e.token ? new c(1) : te(e), ":" === e.token && e.conditionalLevel !== e.nestingLevel) { for (r.push(t); ":" === e.token && r.length < 3;)U(e), ")" === e.token || "]" === e.token || "," === e.token || "" === e.token ? r.push(new v("end")) : r.push(te(e)); t = 3 === r.length ? new y(r[0], r[2], r[1]) : new y(r[0], r[1]) } return t } function te(e) { var t, r, n, i; t = re(e); for (var a = { "+": "add", "-": "subtract" }; Ze(a, e.token);)n = a[r = e.token], U(e), i = [t, re(e)], t = new h(r, n, i); return t } function re(e) { var t, r, n, i; r = t = ne(e); for (var a = { "*": "multiply", ".*": "dotMultiply", "/": "divide", "./": "dotDivide", "%": "mod", mod: "mod" }; Ze(a, e.token);)i = a[n = e.token], U(e), r = ne(e), t = new h(n, i, [t, r]); return t } function ne(e) { var t, r; for (r = t = ie(e); e.tokenType === S || "in" === e.token && z(t) || !(e.tokenType !== M || z(r) || j(r) && "!" !== r.op) || "(" === e.token;)r = ie(e), t = new h("*", "multiply", [t, r], !0); return t } function ie(e) { for (var t = ae(e), r = t, n = []; "/" === e.token && z(r);) { if (n.push(Xs({}, e)), U(e), e.tokenType !== M) { Xs(e, n.pop()); break } if (n.push(Xs({}, e)), U(e), e.tokenType !== S && "(" !== e.token) { n.pop(), Xs(e, n.pop()); break } Xs(e, n.pop()), n.pop(), r = ae(e), t = new h("/", "divide", [t, r]) } return t } function ae(e) { var t, i, o, s = { "-": "unaryMinus", "+": "unaryPlus", "~": "bitNot", not: "not" }; return Ze(s, e.token) ? 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(s--, a[t++] = u) : (r[n + u] = r[i + c], r[o + ++s] = c) } return t } function su(e) { return -e - 2 } var uu = Je("csAmd", ["add", "multiply", "transpose"], (function (e) { var t = e.add, r = e.multiply, n = e.transpose; return function (e, o) { if (!o || e <= 0 || e > 3) return null; var s = o._size, u = s[0], c = s[1], f = 0, l = Math.max(16, 10 * Math.sqrt(c)), p = function (e, i, a, o, s) { var u = n(i); if (1 === e && o === a) return t(i, u); if (2 === e) { for (var c = u._index, f = u._ptr, l = 0, p = 0; p < a; p++) { var m = f[p]; if (f[p] = l, !(f[p + 1] - m > s)) for (var h = f[p + 1]; m < h; m++)c[l++] = c[m] } return f[a] = l, i = n(u), r(u, i) } return r(u, i) }(e, o, u, c, l = Math.min(c - 2, l)); !function (e, t, r) { for (var n = e._values, i = e._index, a = e._ptr, o = e._size[1], s = 0, u = 0; u < o; u++) { var c = a[u]; for (a[u] = s; c < a[u + 1]; c++)t(i[c], u, n ? n[c] : 1, r) && (i[s] = i[c], n && (n[s] = n[c]), s++) } a[o] = s, i.splice(s, i.length - s), n && n.splice(s, n.length - s) }(p, a, null); for (var m, h, d, y, g, v, x, b, w, N, M, S, E, A, O, C, _ = p._index, T = p._ptr, q = T[c], z = [], k = [], I = c + 1, B = 2 * (c + 1), D = 3 * (c + 1), R = 4 * (c + 1), j = 5 * (c + 1), P = 6 * (c + 1), U = 7 * (c + 1), F = z, L = function (e, t, r, n, a, o, s, u, c, f, l, p) { for (var m = 0; m < e; m++)r[n + m] = t[m + 1] - t[m]; r[n + e] = 0; for (var h = 0; h <= e; h++)r[a + h] = -1, o[h] = -1, r[s + h] = -1, r[u + h] = -1, r[c + h] = 1, r[f + h] = 1, r[l + h] = 0, r[p + h] = r[n + h]; var d = i(0, 0, r, f, e); return r[l + e] = -2, t[e] = -1, r[f + e] = 0, d }(c, T, k, 0, D, F, B, U, I, P, R, j), H = function (e, t, r, n, i, a, o, s, u, c, f) { for (var l = 0, p = 0; p < e; p++) { var m = r[n + p]; if (0 === m) r[i + p] = -2, l++, t[p] = -1, r[a + p] = 0; else if (m > o) r[s + p] = 0, r[i + p] = -1, l++, t[p] = su(e), r[s + e]++; else { var h = r[u + m]; -1 !== h && (c[h] = p), r[f + p] = r[u + m], r[u + m] = p } } return l }(c, T, k, j, R, P, l, I, D, F, B), $ = 0; H < c;) { for (d = -1; $ < c && -1 === (d = k[D + $]); $++); -1 !== k[B + d] && (F[k[B + d]] = -1), k[D + $] = k[B + d]; var G = k[R + d], V = k[I + d]; H += V; var Z = 0; k[I + d] = -V; var W = T[d], J = 0 === G ? W : q, Y = J; for (y = 1; y <= G + 1; y++) { for (y > G ? (v = d, x = W, b = k[0 + d] - G) : (x = T[v = _[W++]], b = k[0 + v]), g = 1; g <= b; g++)(w = k[I + (m = _[x++])]) <= 0 || (Z += w, k[I + m] = -w, _[Y++] = m, -1 !== k[B + m] && (F[k[B + m]] = F[m]), -1 !== F[m] ? k[B + F[m]] = k[B + m] : k[D + k[j + m]] = k[B + m]); v !== d && (T[v] = su(d), k[P + v] = 0) } for (0 !== G && (q = Y), k[j + d] = Z, T[d] = J, k[0 + d] = Y - J, k[R + d] = -2, L = i(L, f, k, P, c), N = J; N < Y; N++)if (!((M = k[R + (m = _[N])]) <= 0)) { var X = L - (w = -k[I + m]); for (W = T[m], S = T[m] + M - 1; W <= S; W++)k[P + (v = _[W])] >= L ? k[P + v] -= w : 0 !== k[P + v] && (k[P + v] = k[j + v] + X) } for (N = J; N < Y; N++) { for (E = (S = T[m = _[N]]) + k[R + m] - 1, A = S, O = 0, C = 0, W = S; W <= E; W++)if (0 !== k[P + (v = _[W])]) { var Q = k[P + v] - L; Q > 0 ? (C += Q, _[A++] = v, O += v) : (T[v] = su(d), k[P + v] = 0) } k[R + m] = A - S + 1; var K = A, ee = S + k[0 + m]; for (W = E + 1; W < ee; W++) { var te = k[I + (h = _[W])]; te <= 0 || (C += te, _[A++] = h, O += h) } 0 === C ? (T[m] = su(d), Z -= w = -k[I + m], V += w, H += w, k[I + m] = 0, k[R + m] = -1) : (k[j + m] = Math.min(k[j + m], C), _[A] = _[K], _[K] = _[S], _[S] = d, k[0 + m] = A - S + 1, O = (O < 0 ? -O : O) % c, k[B + m] = k[U + O], k[U + O] = m, F[m] = O) } for (k[j + d] = Z, L = i(L + (f = Math.max(f, Z)), f, k, P, c), N = J; N < Y; N++)if (!(k[I + (m = _[N])] >= 0)) for (m = k[U + (O = F[m])], k[U + O] = -1; -1 !== m && -1 !== k[B + m]; m = k[B + m], L++) { for (b = k[0 + m], M = k[R + m], W = T[m] + 1; W <= T[m] + b - 1; W++)k[P + _[W]] = L; var re = m; for (h = k[B + m]; -1 !== h;) { var ne = k[0 + h] === b && k[R + h] === M; for (W = T[h] + 1; ne && W <= T[h] + b - 1; W++)k[P + _[W]] !== L && (ne = 0); ne ? (T[h] = su(m), k[I + m] += k[I + h], k[I + h] = 0, k[R + h] = -1, h = k[B + h], k[B + re] = h) : (re = h, h = k[B + h]) } } for (W = J, N = J; N < Y; N++)(w = -k[I + (m = _[N])]) <= 0 || (k[I + m] = w, C = k[j + m] + Z - w, -1 !== k[D + (C = Math.min(C, c - H - w))] && (F[k[D + C]] = m), k[B + m] = k[D + C], F[m] = -1, k[D + C] = m, $ = Math.min($, C), k[j + m] = C, _[W++] = m); k[I + d] = V, 0 == (k[0 + d] = W - J) && (T[d] = -1, k[P + d] = 0), 0 !== G && (q = W) } for (m = 0; m < c; m++)T[m] = su(T[m]); for (h = 0; h <= c; h++)k[D + h] = -1; for (h = c; h >= 0; h--)k[I + h] > 0 || (k[B + h] = k[D + T[h]], k[D + T[h]] = h); for (v = c; v >= 0; v--)k[I + v] <= 0 || -1 !== T[v] && (k[B + v] = k[D + T[v]], k[D + T[v]] = v); for (d = 0, m = 0; m <= c; m++)-1 === T[m] && (d = ou(m, d, k, D, B, z, P)); return z.splice(z.length - 1, 1), z }; function i(e, t, r, n, i) { if (e < 2 || e + t < 0) { for (var a = 0; a < i; a++)0 !== r[n + a] && (r[n + a] = 1); e = 2 } return e } function a(e, t) { return e !== t } })); function cu(e, t, r, n, i, a, o) { var s, u, c, f = 0; if (e <= t || r[n + t] <= r[i + e]) return -1; r[i + e] = r[n + t]; var l = r[a + e]; if (r[a + e] = t, -1 === l) f = 1, c = e; else { for (f = 2, c = l; c !== r[o + c]; c = r[o + c]); for (s = l; s !== c; s = u)u = r[o + s], r[o + s] = c } return { jleaf: f, q: c } } var fu = Je("csCounts", ["transpose"], (function (e) { var t = e.transpose; return function (e, r, n, i) { if (!e || !r || !n) return null; var a, o, s, u, c, f, l, p = e._size, m = p[0], h = p[1], d = 4 * h + (i ? h + m + 1 : 0), y = [], g = h, v = 2 * h, x = 3 * h, b = 4 * h, w = 5 * h + 1; for (s = 0; s < d; s++)y[s] = -1; var N = [], M = t(e), S = M._index, E = M._ptr; for (s = 0; s < h; s++)for (N[o = n[s]] = -1 === y[x + o] ? 1 : 0; -1 !== o && -1 === y[x + o]; o = r[o])y[x + o] = s; if (i) { for (s = 0; s < h; s++)y[n[s]] = s; for (a = 0; a < m; a++) { for (s = h, f = E[a], l = E[a + 1], c = f; c < l; c++)s = Math.min(s, y[S[c]]); y[w + a] = y[b + s], y[b + s] = a } } for (a = 0; a < h; a++)y[0 + a] = a; for (s = 0; s < h; s++) { for (-1 !== r[o = n[s]] && N[r[o]]--, u = i ? y[b + s] : o; -1 !== u; u = i ? y[w + u] : -1)for (c = E[u]; c < E[u + 1]; c++) { var A = cu(a = S[c], o, y, x, g, v, 0); A.jleaf >= 1 && N[o]++, 2 === A.jleaf && N[A.q]-- } -1 !== r[o] && (y[0 + o] = r[o]) } for (o = 0; o < h; o++)-1 !== r[o] && (N[r[o]] += N[o]); return N } })), lu = Je("csSqr", ["add", "multiply", "transpose"], (function (e) { var t = e.add, r = e.multiply, n = e.transpose, i = uu({ add: t, multiply: r, transpose: n }), a = fu({ transpose: n }); return function (e, t, r) { var n, o = t._ptr, s = t._size[1], u = {}; if (u.q = i(e, t), e && !u.q) return null; if (r) { var c = e ? function (e, t, r, n) { for (var i = e._values, a = e._index, o = e._ptr, s = e._size, u = e._datatype, c = s[0], f = s[1], l = n && e._values ? [] : null, p = [], m = [], h = 0, d = 0; d < f; d++) { m[d] = h; for (var y = r ? r[d] : d, g = o[y], v = o[y + 1], x = g; x < v; x++) { var b = t ? t[a[x]] : a[x]; p[h] = b, l && (l[h] = i[x]), h++ } } return m[f] = h, e.createSparseMatrix({ values: l, index: p, ptr: m, size: [c, f], datatype: u }) }(t, null, u.q, 0) : t; u.parent = function (e, t) { if (!e) return null; var r, n, i = e._index, a = e._ptr, o = e._size, s = o[0], u = o[1], c = [], f = [], l = u; if (t) for (r = 0; r < s; r++)f[l + r] = -1; for (var p = 0; p < u; p++) { c[p] = -1, f[0 + p] = -1; for (var m = a[p], h = a[p + 1], d = m; d < h; d++) { var y = i[d]; for (r = t ? f[l + y] : y; -1 !== r && r < p; r = n)n = f[0 + r], f[0 + r] = p, -1 === n && (c[r] = p); t && (f[l + y] = p) } } return c }(c, 1); var f = function (e, t) { if (!e) return null; var r, n = 0, i = [], a = [], o = t, s = 2 * t; for (r = 0; r < t; r++)a[0 + r] = -1; for (r = t - 1; r >= 0; r--)-1 !== e[r] && (a[o + r] = a[0 + e[r]], a[0 + e[r]] = r); for (r = 0; r < t; r++)-1 === e[r] && (n = ou(r, n, a, 0, o, i, s)); return i }(u.parent, s); if (u.cp = a(c, u.parent, f, 1), c && u.parent && u.cp && function (e, t) { var r = e._ptr, n = e._index, i = e._size, a = i[0], o = i[1]; t.pinv = [], t.leftmost = []; var s, u, c, f, l, p = t.parent, m = t.pinv, h = t.leftmost, d = [], y = a, g = a + o, v = a + 2 * o; for (u = 0; u < o; u++)d[y + u] = -1, d[g + u] = -1, d[v + u] = 0; for (s = 0; s < a; s++)h[s] = -1; for (u = o - 1; u >= 0; u--)for (f = r[u], l = r[u + 1], c = f; c < l; c++)h[n[c]] = u; for (s = a - 1; s >= 0; s--)m[s] = -1, -1 !== (u = h[s]) && (0 == d[v + u]++ && (d[g + u] = s), d[0 + s] = d[y + u], d[y + u] = s); for (t.lnz = 0, t.m2 = a, u = 0; u < o; u++)if (s = d[y + u], t.lnz++, s < 0 && (s = t.m2++), m[s] = u, !(--v[u] <= 0)) { t.lnz += d[v + u]; var x = p[u]; -1 !== x && (0 === d[v + x] && (d[g + x] = d[g + u]), d[0 + d[g + u]] = d[y + x], d[y + x] = d[0 + s], d[v + x] += d[v + u]) } for (s = 0; s < a; s++)m[s] < 0 && (m[s] = u++); return !0 }(c, u)) for (u.unz = 0, n = 0; n < s; n++)u.unz += u.cp[n] } else u.unz = 4 * o[s] + s, u.lnz = u.unz; return u } })); function pu(e, t) { return e[t] < 0 } function mu(e, t) { e[t] = su(e[t]) } function hu(e) { return e < 0 ? su(e) : e } function du(e, t, r, n, i) { var a, o, s, u = t._index, c = t._ptr, f = t._size[1], l = 0; for (n[0] = e; l >= 0;) { e = n[l]; var p = i ? i[e] : e; pu(c, e) || (mu(c, e), n[f + l] = p < 0 ? 0 : hu(c[p])); var m = 1; for (o = n[f + l], s = p < 0 ? 0 : hu(c[p + 1]); o < s; o++)if (!pu(c, a = u[o])) { n[f + l] = o, n[++l] = a, m = 0; break } m && (l--, n[--r] = e) } return r } var yu = Je("csSpsolve", ["divideScalar", "multiply", "subtract"], (function (e) { var t = e.divideScalar, r = e.multiply, n = e.subtract; return function (e, i, a, o, s, u, c) { var f, l, p, m, h = e._values, d = e._index, y = e._ptr, g = e._size[1], v = i._values, x = i._index, b = i._ptr, w = function (e, t, r, n, i) { var a, o, s, u = e._ptr, c = e._size, f = t._index, l = t._ptr, p = c[1], m = p; for (o = l[r], s = l[r + 1], a = o; a < s; a++) { var h = f[a]; pu(u, h) || (m = du(h, e, m, n, i)) } for (a = m; a < p; a++)mu(u, n[a]); return m }(e, i, a, o, u); for (f = w; f < g; f++)s[o[f]] = 0; for (l = b[a], p = b[a + 1], f = l; f < p; f++)s[x[f]] = v[f]; for (var N = w; N < g; N++) { var M = o[N], S = u ? u[M] : M; if (!(S < 0)) for (l = y[S], p = y[S + 1], s[M] = t(s[M], h[c ? l : p - 1]), f = c ? l + 1 : l, m = c ? p : p - 1; f < m; f++) { var E = d[f]; s[E] = n(s[E], r(h[f], s[M])) } } return w } })), gu = Je("csLu", ["abs", "divideScalar", "multiply", "subtract", "larger", "largerEq", "SparseMatrix"], (function (e) { var t = e.abs, r = e.divideScalar, n = e.multiply, i = e.subtract, a = e.larger, o = e.largerEq, s = e.SparseMatrix, u = yu({ divideScalar: r, multiply: n, subtract: i }); return function (e, i, c) { if (!e) return null; var f, l = e._size[1], p = 100, m = 100; i && (f = i.q, p = i.lnz || p, m = i.unz || m); var h, d, y = [], g = [], v = [], x = new s({ values: y, index: g, ptr: v, size: [l, l] }), b = [], w = [], N = [], M = new s({ values: b, index: w, ptr: N, size: [l, l] }), S = [], E = [], A = []; for (h = 0; h < l; h++)E[h] = 0, S[h] = -1, v[h + 1] = 0; p = 0, m = 0; for (var O = 0; O < l; O++) { v[O] = p, N[O] = m; var C = f ? f[O] : O, _ = u(x, e, C, A, E, S, 1), T = -1, q = -1; for (d = _; d < l; d++)if (S[h = A[d]] < 0) { var z = t(E[h]); a(z, q) && (q = z, T = h) } else w[m] = S[h], b[m++] = E[h]; if (-1 === T || q <= 0) return null; S[C] < 0 && o(t(E[C]), n(q, c)) && (T = C); var k = E[T]; for (w[m] = O, b[m++] = k, S[T] = O, g[p] = T, y[p++] = 1, d = _; d < l; d++)S[h = A[d]] < 0 && (g[p] = h, y[p++] = r(E[h], k)), E[h] = 0 } for (v[l] = p, N[l] = m, d = 0; d < p; d++)g[d] = S[g[d]]; return y.splice(p, y.length - p), g.splice(p, g.length - p), b.splice(m, b.length - m), w.splice(m, w.length - m), { L: x, U: M, pinv: S } } })), vu = Je("slu", ["typed", "abs", "add", "multiply", "transpose", "divideScalar", "subtract", "larger", "largerEq", "SparseMatrix"], (function (e) { var t = e.typed, r = e.abs, n = e.add, i = e.multiply, a = e.transpose, o = e.divideScalar, s = e.subtract, u = e.larger, c = e.largerEq, f = e.SparseMatrix, l = lu({ add: n, multiply: i, transpose: a }), p = gu({ abs: r, divideScalar: o, multiply: i, subtract: s, larger: u, largerEq: c, SparseMatrix: f }); return t("slu", { "SparseMatrix, number, number": function (e, t, r) { if (!V(t) || t < 0 || t > 3) throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]"); if (r < 0 || r > 1) throw new Error("Partial pivoting threshold must be a number from 0 to 1"); var n = l(t, e, !1), i = p(e, n, r); return { L: i.L, U: i.U, p: i.pinv, q: n.q, toString: function () { return "L: " + this.L.toString() + "\nU: " + this.U.toString() + "\np: " + this.p.toString() + (this.q ? "\nq: " + this.q.toString() : "") + "\n" } } } }) })); function xu(e, t) { var r, n = t.length, i = []; if (e) for (r = 0; r < n; r++)i[e[r]] = t[r]; else for (r = 0; r < n; r++)i[r] = t[r]; return i } var bu = ["typed", "matrix", "lup", "slu", "usolve", "lsolve", "DenseMatrix"], wu = Je("lusolve", bu, (function (e) { var t = e.typed, r = e.matrix, n = e.lup, i = e.slu, a = e.usolve, o = e.lsolve, s = ma({ DenseMatrix: e.DenseMatrix }); return t("lusolve", { "Array, Array | Matrix": function (e, t) { e = r(e); var i = n(e); return c(i.L, i.U, i.p, null, t).valueOf() }, "DenseMatrix, Array | Matrix": function (e, t) { var r = n(e); return c(r.L, r.U, r.p, null, t) }, "SparseMatrix, Array | Matrix": function (e, t) { var r = n(e); return c(r.L, r.U, r.p, null, t) }, "SparseMatrix, Array | Matrix, number, number": function (e, t, r, n) { var a = i(e, r, n); return c(a.L, a.U, a.p, a.q, t) }, "Object, Array | Matrix": function (e, t) { return c(e.L, e.U, e.p, e.q, t) } }); function u(e) { if (p(e)) return e; if (l(e)) return r(e); throw new TypeError("Invalid Matrix LU decomposition") } function c(e, t, r, n, i) { e = u(e), t = u(t), r && ((i = s(e, i, !0))._data = xu(r, i._data)); var c = o(e, i), f = a(t, c); return n && (f._data = xu(n, f._data)), f } })), Nu = ["parse"], Mu = Je("Help", Nu, (function (e) { var t = e.parse; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!e) throw new Error('Argument "doc" missing'); this.doc = e } return r.prototype.type = "Help", r.prototype.isHelp = !0, r.prototype.toString = function () { var e = this.doc || {}, r = "\n"; if (e.name && (r += "Name: " + e.name + "\n\n"), e.category && (r += "Category: " + e.category + "\n\n"), e.description && (r += "Description:\n " + e.description + "\n\n"), e.syntax && (r += "Syntax:\n " + e.syntax.join("\n ") + "\n\n"), e.examples) { r += "Examples:\n"; for (var n = {}, i = 0; i < e.examples.length; i++) { var a = e.examples[i]; r += " " + a + "\n"; var o = void 0; try { o = t(a).compile().evaluate(n) } catch (e) { o = e } void 0 === o || b(o) || (r += " " + ge(o, { precision: 14 }) + "\n") } r += "\n" } return e.seealso && e.seealso.length && (r += "See also: " + e.seealso.join(", ") + "\n"), r }, r.prototype.toJSON = function () { var e = Fe(this.doc); return e.mathjs = "Help", e }, r.fromJSON = function (e) { var t = {}; return Object.keys(e).filter((function (e) { return "mathjs" !== e })).forEach((function (r) { t[r] = e[r] })), new r(t) }, r.prototype.valueOf = r.prototype.toString, r }), { isClass: !0 }), Su = ["?on", "math"], Eu = Je("Chain", Su, (function (e) { var t = e.on, r = e.math; function n(e) { if (!(this instanceof n)) throw new SyntaxError("Constructor must be called with the new operator"); L(e) ? this.value = e.value : this.value = e } function i(e, t) { Ve(n.prototype, e, (function () { var e = t(); if ("function" == typeof e) return a(e) })) } function a(e) { return function () { for (var t = [this.value], r = 0; r < arguments.length; r++)t[r + 1] = arguments[r]; return new n(e.apply(e, t)) } } n.prototype.type = "Chain", n.prototype.isChain = !0, n.prototype.done = function () { return this.value }, n.prototype.valueOf = function () { return this.value }, n.prototype.toString = function () { return ge(this.value) }, n.prototype.toJSON = function () { return { mathjs: "Chain", value: this.value } }, n.fromJSON = function (e) { return new n(e.value) }, n.createProxy = function (e, t) { if ("string" == typeof e) u = e, "function" == typeof (c = t) && (n.prototype[u] = a(c)); else { var r = function (t) { Ze(e, t) && void 0 === o[t] && i(t, (function () { return e[t] })) }; for (var s in e) r(s) } var u, c }; var o = { expression: !0, docs: !0, type: !0, classes: !0, json: !0, error: !0, isChain: !0 }; return n.createProxy(r), t && t("import", (function (e, t, r) { r || i(e, t) })), n }), { isClass: !0 }), Au = { name: "pi", category: "Constants", syntax: ["pi"], description: "The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159", examples: ["pi", "sin(pi/2)"], seealso: ["tau"] }, Ou = { name: "e", category: "Constants", syntax: ["e"], description: "Euler's number, the base of the natural logarithm. Approximately equal to 2.71828", examples: ["e", "e ^ 2", "exp(2)", "log(e)"], seealso: ["exp"] }, Cu = { bignumber: { name: "bignumber", category: "Construction", syntax: ["bignumber(x)"], description: "Create a big number from a number or string.", examples: ["0.1 + 0.2", "bignumber(0.1) + bignumber(0.2)", 'bignumber("7.2")', 'bignumber("7.2e500")', "bignumber([0.1, 0.2, 0.3])"], seealso: ["boolean", "complex", "fraction", "index", "matrix", "string", "unit"] }, boolean: { name: "boolean", category: "Construction", syntax: ["x", "boolean(x)"], description: "Convert a string or number into a boolean.", examples: ["boolean(0)", "boolean(1)", "boolean(3)", 'boolean("true")', 'boolean("false")', "boolean([1, 0, 1, 1])"], seealso: ["bignumber", "complex", "index", "matrix", "number", "string", "unit"] }, complex: { name: "complex", category: "Construction", syntax: ["complex()", "complex(re, im)", "complex(string)"], description: "Create a complex number.", examples: ["complex()", "complex(2, 3)", 'complex("7 - 2i")'], seealso: ["bignumber", "boolean", "index", "matrix", "number", "string", "unit"] }, createUnit: { name: "createUnit", category: "Construction", syntax: ["createUnit(definitions)", "createUnit(name, definition)"], description: "Create a user-defined unit and register it with the Unit type.", examples: ['createUnit("foo")', 'createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})', 'createUnit("mph", "1 mile/hour")'], seealso: ["unit", "splitUnit"] }, fraction: { name: "fraction", category: "Construction", syntax: ["fraction(num)", "fraction(num,den)"], description: "Create a fraction from a number or from a numerator and denominator.", examples: ["fraction(0.125)", "fraction(1, 3) + fraction(2, 5)"], seealso: ["bignumber", "boolean", "complex", "index", "matrix", "string", "unit"] }, index: { name: "index", category: "Construction", syntax: ["[start]", "[start:end]", "[start:step:end]", "[start1, start 2, ...]", "[start1:end1, start2:end2, ...]", "[start1:step1:end1, start2:step2:end2, ...]"], description: "Create an index to get or replace a subset of a matrix", examples: ["[]", "[1, 2, 3]", "A = [1, 2, 3; 4, 5, 6]", "A[1, :]", "A[1, 2] = 50", "A[0:2, 0:2] = ones(2, 2)"], seealso: ["bignumber", "boolean", "complex", "matrix,", "number", "range", "string", "unit"] }, matrix: { name: "matrix", category: "Construction", syntax: ["[]", "[a1, b1, ...; a2, b2, ...]", "matrix()", 'matrix("dense")', "matrix([...])"], description: "Create a matrix.", examples: ["[]", "[1, 2, 3]", "[1, 2, 3; 4, 5, 6]", "matrix()", "matrix([3, 4])", 'matrix([3, 4; 5, 6], "sparse")', 'matrix([3, 4; 5, 6], "sparse", "number")'], seealso: ["bignumber", "boolean", "complex", "index", "number", "string", "unit", "sparse"] }, number: { name: "number", category: "Construction", syntax: ["x", "number(x)", "number(unit, valuelessUnit)"], description: "Create a number or convert a string or boolean into a number.", examples: ["2", "2e3", "4.05", "number(2)", 'number("7.2")', "number(true)", "number([true, false, true, true])", 'number(unit("52cm"), "m")'], seealso: ["bignumber", "boolean", "complex", "fraction", "index", "matrix", "string", "unit"] }, sparse: { name: "sparse", category: "Construction", syntax: ["sparse()", "sparse([a1, b1, ...; a1, b2, ...])", 'sparse([a1, b1, ...; a1, b2, ...], "number")'], description: "Create a sparse matrix.", examples: ["sparse()", "sparse([3, 4; 5, 6])", 'sparse([3, 0; 5, 0], "number")'], seealso: ["bignumber", "boolean", "complex", "index", "number", "string", "unit", "matrix"] }, splitUnit: { name: "splitUnit", category: "Construction", syntax: ["splitUnit(unit: Unit, parts: Unit[])"], description: "Split a unit in an array of units whose sum is equal to the original unit.", examples: ['splitUnit(1 m, ["feet", "inch"])'], seealso: ["unit", "createUnit"] }, string: { name: "string", category: "Construction", syntax: ['"text"', "string(x)"], description: "Create a string or convert a value to a string", examples: ['"Hello World!"', "string(4.2)", "string(3 + 2i)"], seealso: ["bignumber", "boolean", "complex", "index", "matrix", "number", "unit"] }, unit: { name: "unit", category: "Construction", syntax: ["value unit", "unit(value, unit)", "unit(string)"], description: "Create a unit.", examples: ["5.5 mm", "3 inch", 'unit(7.1, "kilogram")', 'unit("23 deg")'], seealso: ["bignumber", "boolean", "complex", "index", "matrix", "number", "string"] }, e: Ou, E: Ou, false: { name: "false", category: "Constants", syntax: ["false"], description: "Boolean value false", examples: ["false"], seealso: ["true"] }, i: { name: "i", category: "Constants", syntax: ["i"], description: "Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.", examples: ["i", "i * i", "sqrt(-1)"], seealso: [] }, Infinity: { name: "Infinity", category: "Constants", syntax: ["Infinity"], description: "Infinity, a number which is larger than the maximum number that can be handled by a floating point number.", examples: ["Infinity", "1 / 0"], seealso: [] }, LN2: { name: "LN2", category: "Constants", syntax: ["LN2"], description: "Returns the natural logarithm of 2, approximately equal to 0.693", examples: ["LN2", "log(2)"], seealso: [] }, LN10: { name: "LN10", category: "Constants", syntax: ["LN10"], description: "Returns the natural logarithm of 10, approximately equal to 2.302", examples: ["LN10", "log(10)"], seealso: [] }, LOG2E: { name: "LOG2E", category: "Constants", syntax: ["LOG2E"], description: "Returns the base-2 logarithm of E, approximately equal to 1.442", examples: ["LOG2E", "log(e, 2)"], seealso: [] }, LOG10E: { name: "LOG10E", category: "Constants", syntax: ["LOG10E"], description: "Returns the base-10 logarithm of E, approximately equal to 0.434", examples: ["LOG10E", "log(e, 10)"], seealso: [] }, NaN: { name: "NaN", category: "Constants", syntax: ["NaN"], description: "Not a number", examples: ["NaN", "0 / 0"], seealso: [] }, null: { name: "null", category: "Constants", syntax: ["null"], description: "Value null", examples: ["null"], seealso: ["true", "false"] }, pi: Au, PI: Au, phi: { name: "phi", category: "Constants", syntax: ["phi"], description: "Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...", examples: ["phi"], seealso: [] }, SQRT1_2: { name: "SQRT1_2", category: "Constants", syntax: ["SQRT1_2"], description: "Returns the square root of 1/2, approximately equal to 0.707", examples: ["SQRT1_2", "sqrt(1/2)"], seealso: [] }, SQRT2: { name: "SQRT2", category: "Constants", syntax: ["SQRT2"], description: "Returns the square root of 2, approximately equal to 1.414", examples: ["SQRT2", "sqrt(2)"], seealso: [] }, tau: { name: "tau", category: "Constants", syntax: ["tau"], description: "Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.", examples: ["tau", "2 * pi"], seealso: ["pi"] }, true: { name: "true", category: "Constants", syntax: ["true"], description: "Boolean value true", examples: ["true"], seealso: ["false"] }, version: { name: "version", category: "Constants", syntax: ["version"], description: "A string with the version number of math.js", examples: ["version"], seealso: [] }, speedOfLight: { description: "Speed of light in vacuum", examples: ["speedOfLight"] }, gravitationConstant: { description: "Newtonian constant of gravitation", examples: ["gravitationConstant"] }, planckConstant: { description: "Planck constant", examples: ["planckConstant"] }, reducedPlanckConstant: { description: "Reduced Planck constant", examples: ["reducedPlanckConstant"] }, magneticConstant: { description: "Magnetic constant (vacuum permeability)", examples: ["magneticConstant"] }, electricConstant: { description: "Electric constant (vacuum permeability)", examples: ["electricConstant"] }, vacuumImpedance: { description: "Characteristic impedance of vacuum", examples: ["vacuumImpedance"] }, coulomb: { description: "Coulomb's constant", examples: ["coulomb"] }, elementaryCharge: { description: "Elementary charge", examples: ["elementaryCharge"] }, bohrMagneton: { description: "Borh magneton", examples: ["bohrMagneton"] }, conductanceQuantum: { description: "Conductance quantum", examples: ["conductanceQuantum"] }, inverseConductanceQuantum: { description: "Inverse conductance quantum", examples: ["inverseConductanceQuantum"] }, magneticFluxQuantum: { description: "Magnetic flux quantum", examples: ["magneticFluxQuantum"] }, nuclearMagneton: { description: "Nuclear magneton", examples: ["nuclearMagneton"] }, klitzing: { description: "Von Klitzing constant", examples: ["klitzing"] }, bohrRadius: { description: "Borh radius", examples: ["bohrRadius"] }, classicalElectronRadius: { description: "Classical electron radius", examples: ["classicalElectronRadius"] }, electronMass: { description: "Electron mass", examples: ["electronMass"] }, fermiCoupling: { description: "Fermi coupling constant", examples: ["fermiCoupling"] }, fineStructure: { description: "Fine-structure constant", examples: ["fineStructure"] }, hartreeEnergy: { description: "Hartree energy", examples: ["hartreeEnergy"] }, protonMass: { description: "Proton mass", examples: ["protonMass"] }, deuteronMass: { description: "Deuteron Mass", examples: ["deuteronMass"] }, neutronMass: { description: "Neutron mass", examples: ["neutronMass"] }, quantumOfCirculation: { description: "Quantum of circulation", examples: ["quantumOfCirculation"] }, rydberg: { description: "Rydberg constant", examples: ["rydberg"] }, thomsonCrossSection: { description: "Thomson cross section", examples: ["thomsonCrossSection"] }, weakMixingAngle: { description: "Weak mixing angle", examples: ["weakMixingAngle"] }, efimovFactor: { description: "Efimov factor", examples: ["efimovFactor"] }, atomicMass: { description: "Atomic mass constant", examples: ["atomicMass"] }, avogadro: { description: "Avogadro's number", examples: ["avogadro"] }, boltzmann: { description: "Boltzmann constant", examples: ["boltzmann"] }, faraday: { description: "Faraday constant", examples: ["faraday"] }, firstRadiation: { description: "First radiation constant", examples: ["firstRadiation"] }, loschmidt: { description: "Loschmidt constant at T=273.15 K and p=101.325 kPa", examples: ["loschmidt"] }, gasConstant: { description: "Gas constant", examples: ["gasConstant"] }, molarPlanckConstant: { description: "Molar Planck constant", examples: ["molarPlanckConstant"] }, molarVolume: { description: "Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa", examples: ["molarVolume"] }, sackurTetrode: { description: "Sackur-Tetrode constant at T=1 K and p=101.325 kPa", examples: ["sackurTetrode"] }, secondRadiation: { description: "Second radiation constant", examples: ["secondRadiation"] }, stefanBoltzmann: { description: "Stefan-Boltzmann constant", examples: ["stefanBoltzmann"] }, wienDisplacement: { description: "Wien displacement law constant", examples: ["wienDisplacement"] }, molarMass: { description: "Molar mass constant", examples: ["molarMass"] }, molarMassC12: { description: "Molar mass constant of carbon-12", examples: ["molarMassC12"] }, gravity: { description: "Standard acceleration of gravity (standard acceleration of free-fall on Earth)", examples: ["gravity"] }, planckLength: { description: "Planck length", examples: ["planckLength"] }, planckMass: { description: "Planck mass", examples: ["planckMass"] }, planckTime: { description: "Planck time", examples: ["planckTime"] }, planckCharge: { description: "Planck charge", examples: ["planckCharge"] }, planckTemperature: { description: "Planck temperature", examples: ["planckTemperature"] }, derivative: { name: "derivative", category: "Algebra", syntax: ["derivative(expr, variable)", "derivative(expr, variable, {simplify: boolean})"], description: "Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.", examples: ['derivative("2x^3", "x")', 'derivative("2x^3", "x", {simplify: false})', 'derivative("2x^2 + 3x + 4", "x")', 'derivative("sin(2x)", "x")', 'f = parse("x^2 + x")', 'x = parse("x")', "df = derivative(f, x)", "df.evaluate({x: 3})"], seealso: ["simplify", "parse", "evaluate"] }, lsolve: { name: "lsolve", category: "Algebra", syntax: ["x=lsolve(L, b)"], description: "Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.", examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lsolve(a, b)"], seealso: ["lsolveAll", "lup", "lusolve", "usolve", "matrix", "sparse"] }, lsolveAll: { name: "lsolveAll", category: "Algebra", syntax: ["x=lsolveAll(L, b)"], description: "Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.", examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lsolve(a, b)"], seealso: ["lsolve", "lup", "lusolve", "usolve", "matrix", "sparse"] }, lup: { name: "lup", category: "Algebra", syntax: ["lup(m)"], description: "Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U", examples: ["lup([[2, 1], [1, 4]])", "lup(matrix([[2, 1], [1, 4]]))", "lup(sparse([[2, 1], [1, 4]]))"], seealso: ["lusolve", "lsolve", "usolve", "matrix", "sparse", "slu", "qr"] }, lusolve: { name: "lusolve", category: "Algebra", syntax: ["x=lusolve(A, b)", "x=lusolve(lu, b)"], description: "Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.", examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lusolve(a, b)"], seealso: ["lup", "slu", "lsolve", "usolve", "matrix", "sparse"] }, simplify: { name: "simplify", category: "Algebra", syntax: ["simplify(expr)", "simplify(expr, rules)"], description: "Simplify an expression tree.", examples: ['simplify("3 + 2 / 4")', 'simplify("2x + x")', 'f = parse("x * (x + 2 + x)")', "simplified = simplify(f)", "simplified.evaluate({x: 2})"], seealso: ["derivative", "parse", "evaluate"] }, rationalize: { name: "rationalize", category: "Algebra", syntax: ["rationalize(expr)", "rationalize(expr, scope)", "rationalize(expr, scope, detailed)"], description: "Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.", examples: ['rationalize("2x/y - y/(x+1)")', 'rationalize("2x/y - y/(x+1)", true)'], seealso: ["simplify"] }, slu: { name: "slu", category: "Algebra", syntax: ["slu(A, order, threshold)"], description: "Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U", examples: ["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"], seealso: ["lusolve", "lsolve", "usolve", "matrix", "sparse", "lup", "qr"] }, usolve: { name: "usolve", category: "Algebra", syntax: ["x=usolve(U, b)"], description: "Finds one solution of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.", examples: ["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"], seealso: ["usolveAll", "lup", "lusolve", "lsolve", "matrix", "sparse"] }, usolveAll: { name: "usolveAll", category: "Algebra", syntax: ["x=usolve(U, b)"], description: "Finds all solutions of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.", examples: ["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"], seealso: ["usolve", "lup", "lusolve", "lsolve", "matrix", "sparse"] }, qr: { name: "qr", category: "Algebra", syntax: ["qr(A)"], description: "Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.", examples: ["qr([[1, -1, 4], [1, 4, -2], [1, 4, 2], [1, -1, 0]])"], seealso: ["lup", "slu", "matrix"] }, abs: { name: "abs", category: "Arithmetic", syntax: ["abs(x)"], description: "Compute the absolute value.", examples: ["abs(3.5)", "abs(-4.2)"], seealso: ["sign"] }, add: { name: "add", category: "Operators", syntax: ["x + y", "add(x, y)"], description: "Add two values.", examples: ["a = 2.1 + 3.6", "a - 3.6", "3 + 2i", "3 cm + 2 inch", '"2.3" + "4"'], seealso: ["subtract"] }, cbrt: { name: "cbrt", category: "Arithmetic", syntax: ["cbrt(x)", "cbrt(x, allRoots)"], description: "Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned", examples: ["cbrt(64)", "cube(4)", "cbrt(-8)", "cbrt(2 + 3i)", "cbrt(8i)", "cbrt(8i, true)", "cbrt(27 m^3)"], seealso: ["square", "sqrt", "cube", "multiply"] }, ceil: { name: "ceil", category: "Arithmetic", syntax: ["ceil(x)"], description: "Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.", examples: ["ceil(3.2)", "ceil(3.8)", "ceil(-4.2)"], seealso: ["floor", "fix", "round"] }, cube: { name: "cube", category: "Arithmetic", syntax: ["cube(x)"], description: "Compute the cube of a value. The cube of x is x * x * x.", examples: ["cube(2)", "2^3", "2 * 2 * 2"], seealso: ["multiply", "square", "pow"] }, divide: { name: "divide", category: "Operators", syntax: ["x / y", "divide(x, y)"], description: "Divide two values.", examples: ["a = 2 / 3", "a * 3", "4.5 / 2", "3 + 4 / 2", "(3 + 4) / 2", "18 km / 4.5"], seealso: ["multiply"] }, dotDivide: { name: "dotDivide", category: "Operators", syntax: ["x ./ y", "dotDivide(x, y)"], description: "Divide two values element wise.", examples: ["a = [1, 2, 3; 4, 5, 6]", "b = [2, 1, 1; 3, 2, 5]", "a ./ b"], seealso: ["multiply", "dotMultiply", "divide"] }, dotMultiply: { name: "dotMultiply", category: "Operators", syntax: ["x .* y", "dotMultiply(x, y)"], description: "Multiply two values element wise.", examples: ["a = [1, 2, 3; 4, 5, 6]", "b = [2, 1, 1; 3, 2, 5]", "a .* b"], seealso: ["multiply", "divide", "dotDivide"] }, dotPow: { name: "dotPow", category: "Operators", syntax: ["x .^ y", "dotPow(x, y)"], description: "Calculates the power of x to y element wise.", examples: ["a = [1, 2, 3; 4, 5, 6]", "a .^ 2"], seealso: ["pow"] }, exp: { name: "exp", category: "Arithmetic", syntax: ["exp(x)"], description: "Calculate the exponent of a value.", examples: ["exp(1.3)", "e ^ 1.3", "log(exp(1.3))", "x = 2.4", "(exp(i*x) == cos(x) + i*sin(x)) # Euler's formula"], seealso: ["expm", "expm1", "pow", "log"] }, expm: { name: "expm", category: "Arithmetic", syntax: ["exp(x)"], description: "Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.", examples: ["expm([[0,2],[0,0]])"], seealso: ["exp"] }, expm1: { name: "expm1", category: "Arithmetic", syntax: ["expm1(x)"], description: "Calculate the value of subtracting 1 from the exponential value.", examples: ["expm1(2)", "pow(e, 2) - 1", "log(expm1(2) + 1)"], seealso: ["exp", "pow", "log"] }, fix: { name: "fix", category: "Arithmetic", syntax: ["fix(x)"], description: "Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.", examples: ["fix(3.2)", "fix(3.8)", "fix(-4.2)", "fix(-4.8)"], seealso: ["ceil", "floor", "round"] }, floor: { name: "floor", category: "Arithmetic", syntax: ["floor(x)"], description: "Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.", examples: ["floor(3.2)", "floor(3.8)", "floor(-4.2)"], seealso: ["ceil", "fix", "round"] }, gcd: { name: "gcd", category: "Arithmetic", syntax: ["gcd(a, b)", "gcd(a, b, c, ...)"], description: "Compute the greatest common divisor.", examples: ["gcd(8, 12)", "gcd(-4, 6)", "gcd(25, 15, -10)"], seealso: ["lcm", "xgcd"] }, hypot: { name: "hypot", category: "Arithmetic", syntax: ["hypot(a, b, c, ...)", "hypot([a, b, c, ...])"], description: "Calculate the hypotenusa of a list with values. ", examples: ["hypot(3, 4)", "sqrt(3^2 + 4^2)", "hypot(-2)", "hypot([3, 4, 5])"], seealso: ["abs", "norm"] }, lcm: { name: "lcm", category: "Arithmetic", syntax: ["lcm(x, y)"], description: "Compute the least common multiple.", examples: ["lcm(4, 6)", "lcm(6, 21)", "lcm(6, 21, 5)"], seealso: ["gcd"] }, log: { name: "log", category: "Arithmetic", syntax: ["log(x)", "log(x, base)"], description: "Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).", examples: ["log(3.5)", "a = log(2.4)", "exp(a)", "10 ^ 4", "log(10000, 10)", "log(10000) / log(10)", "b = log(1024, 2)", "2 ^ b"], seealso: ["exp", "log1p", "log2", "log10"] }, log2: { name: "log2", category: "Arithmetic", syntax: ["log2(x)"], description: "Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.", examples: ["log2(0.03125)", "log2(16)", "log2(16) / log2(2)", "pow(2, 4)"], seealso: ["exp", "log1p", "log", "log10"] }, log1p: { name: "log1p", category: "Arithmetic", syntax: ["log1p(x)", "log1p(x, base)"], description: "Calculate the logarithm of a `value+1`", examples: ["log1p(2.5)", "exp(log1p(1.4))", "pow(10, 4)", "log1p(9999, 10)", "log1p(9999) / log(10)"], seealso: ["exp", "log", "log2", "log10"] }, log10: { name: "log10", category: "Arithmetic", syntax: ["log10(x)"], description: "Compute the 10-base logarithm of a value.", examples: ["log10(0.00001)", "log10(10000)", "10 ^ 4", "log(10000) / log(10)", "log(10000, 10)"], seealso: ["exp", "log"] }, mod: { name: "mod", category: "Operators", syntax: ["x % y", "x mod y", "mod(x, y)"], description: "Calculates the modulus, the remainder of an integer division.", examples: ["7 % 3", "11 % 2", "10 mod 4", "isOdd(x) = x % 2", "isOdd(2)", "isOdd(3)"], seealso: ["divide"] }, multiply: { name: "multiply", category: "Operators", syntax: ["x * y", "multiply(x, y)"], description: "multiply two values.", examples: ["a = 2.1 * 3.4", "a / 3.4", "2 * 3 + 4", "2 * (3 + 4)", "3 * 2.1 km"], seealso: ["divide"] }, norm: { name: "norm", category: "Arithmetic", syntax: ["norm(x)", "norm(x, p)"], description: "Calculate the norm of a number, vector or matrix.", examples: ["abs(-3.5)", "norm(-3.5)", "norm(3 - 4i)", "norm([1, 2, -3], Infinity)", "norm([1, 2, -3], -Infinity)", "norm([3, 4], 2)", "norm([[1, 2], [3, 4]], 1)", 'norm([[1, 2], [3, 4]], "inf")', 'norm([[1, 2], [3, 4]], "fro")'] }, nthRoot: { name: "nthRoot", category: "Arithmetic", syntax: ["nthRoot(a)", "nthRoot(a, root)"], description: 'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".', examples: ["4 ^ 3", "nthRoot(64, 3)", "nthRoot(9, 2)", "sqrt(9)"], seealso: ["nthRoots", "pow", "sqrt"] }, nthRoots: { name: "nthRoots", category: "Arithmetic", syntax: ["nthRoots(A)", "nthRoots(A, root)"], description: 'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.', examples: ["nthRoots(1)", "nthRoots(1, 3)"], seealso: ["sqrt", "pow", "nthRoot"] }, pow: { name: "pow", category: "Operators", syntax: ["x ^ y", "pow(x, y)"], description: "Calculates the power of x to y, x^y.", examples: ["2^3", "2*2*2", "1 + e ^ (pi * i)"], seealso: ["multiply", "nthRoot", "nthRoots", "sqrt"] }, round: { name: "round", category: "Arithmetic", syntax: ["round(x)", "round(x, n)"], description: "round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.", examples: ["round(3.2)", "round(3.8)", "round(-4.2)", "round(-4.8)", "round(pi, 3)", "round(123.45678, 2)"], seealso: ["ceil", "floor", "fix"] }, sign: { name: "sign", category: "Arithmetic", syntax: ["sign(x)"], description: "Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.", examples: ["sign(3.5)", "sign(-4.2)", "sign(0)"], seealso: ["abs"] }, sqrt: { name: "sqrt", category: "Arithmetic", syntax: ["sqrt(x)"], description: "Compute the square root value. If x = y * y, then y is the square root of x.", examples: ["sqrt(25)", "5 * 5", "sqrt(-1)"], seealso: ["square", "sqrtm", "multiply", "nthRoot", "nthRoots", "pow"] }, sqrtm: { name: "sqrtm", category: "Arithmetic", syntax: ["sqrtm(x)"], description: "Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.", examples: ["sqrtm([[1, 2], [3, 4]])"], seealso: ["sqrt", "abs", "square", "multiply"] }, square: { name: "square", category: "Arithmetic", syntax: ["square(x)"], description: "Compute the square of a value. The square of x is x * x.", examples: ["square(3)", "sqrt(9)", "3^2", "3 * 3"], seealso: ["multiply", "pow", "sqrt", "cube"] }, subtract: { name: "subtract", category: "Operators", syntax: ["x - y", "subtract(x, y)"], description: "subtract two values.", examples: ["a = 5.3 - 2", "a + 2", "2/3 - 1/6", "2 * 3 - 3", "2.1 km - 500m"], seealso: ["add"] }, unaryMinus: { name: "unaryMinus", category: "Operators", syntax: ["-x", "unaryMinus(x)"], description: "Inverse the sign of a value. Converts booleans and strings to numbers.", examples: ["-4.5", "-(-5.6)", '-"22"'], seealso: ["add", "subtract", "unaryPlus"] }, unaryPlus: { name: "unaryPlus", category: "Operators", syntax: ["+x", "unaryPlus(x)"], description: "Converts booleans and strings to numbers.", examples: ["+true", '+"2"'], seealso: ["add", "subtract", "unaryMinus"] }, xgcd: { name: "xgcd", category: "Arithmetic", syntax: ["xgcd(a, b)"], description: "Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.", examples: ["xgcd(8, 12)", "gcd(8, 12)", "xgcd(36163, 21199)"], seealso: ["gcd", "lcm"] }, bitAnd: { name: "bitAnd", category: "Bitwise", syntax: ["x & y", "bitAnd(x, y)"], description: "Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0", examples: ["5 & 3", "bitAnd(53, 131)", "[1, 12, 31] & 42"], seealso: ["bitNot", "bitOr", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] }, bitNot: { name: "bitNot", category: "Bitwise", syntax: ["~x", "bitNot(x)"], description: "Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.", examples: ["~1", "~2", "bitNot([2, -3, 4])"], seealso: ["bitAnd", "bitOr", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] }, bitOr: { name: "bitOr", category: "Bitwise", syntax: ["x | y", "bitOr(x, y)"], description: "Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.", examples: ["5 | 3", "bitOr([1, 2, 3], 4)"], seealso: ["bitAnd", "bitNot", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] }, bitXor: { name: "bitXor", category: "Bitwise", syntax: ["bitXor(x, y)"], description: "Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.", examples: ["bitOr(1, 2)", "bitXor([2, 3, 4], 4)"], seealso: ["bitAnd", "bitNot", "bitOr", "leftShift", "rightArithShift", "rightLogShift"] }, leftShift: { name: "leftShift", category: "Bitwise", syntax: ["x << y", "leftShift(x, y)"], description: "Bitwise left logical shift of a value x by y number of bits.", examples: ["4 << 1", "8 >> 1"], seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "rightArithShift", "rightLogShift"] }, rightArithShift: { name: "rightArithShift", category: "Bitwise", syntax: ["x >> y", "rightArithShift(x, y)"], description: "Bitwise right arithmetic shift of a value x by y number of bits.", examples: ["8 >> 1", "4 << 1", "-12 >> 2"], seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "leftShift", "rightLogShift"] }, rightLogShift: { name: "rightLogShift", category: "Bitwise", syntax: ["x >>> y", "rightLogShift(x, y)"], description: "Bitwise right logical shift of a value x by y number of bits.", examples: ["8 >>> 1", "4 << 1", "-12 >>> 2"], seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "leftShift", "rightArithShift"] }, bellNumbers: { name: "bellNumbers", category: "Combinatorics", syntax: ["bellNumbers(n)"], description: "The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.", examples: ["bellNumbers(3)", "bellNumbers(8)"], seealso: ["stirlingS2"] }, catalan: { name: "catalan", category: "Combinatorics", syntax: ["catalan(n)"], description: "The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.", examples: ["catalan(3)", "catalan(8)"], seealso: ["bellNumbers"] }, composition: { name: "composition", category: "Combinatorics", syntax: ["composition(n, k)"], description: "The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.", examples: ["composition(5, 3)"], seealso: ["combinations"] }, stirlingS2: { name: "stirlingS2", category: "Combinatorics", syntax: ["stirlingS2(n, k)"], description: "he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.", examples: ["stirlingS2(5, 3)"], seealso: ["bellNumbers"] }, config: { name: "config", category: "Core", syntax: ["config()", "config(options)"], description: "Get configuration or change configuration.", examples: ["config()", "1/3 + 1/4", 'config({number: "Fraction"})', "1/3 + 1/4"], seealso: [] }, import: { name: "import", category: "Core", syntax: ["import(functions)", "import(functions, options)"], description: "Import functions or constants from an object.", examples: ["import({myFn: f(x)=x^2, myConstant: 32 })", "myFn(2)", "myConstant"], seealso: [] }, typed: { name: "typed", category: "Core", syntax: ["typed(signatures)", "typed(name, signatures)"], description: "Create a typed function.", examples: ['double = typed({ "number, number": f(x)=x+x })', "double(2)", 'double("hello")'], seealso: [] }, arg: { name: "arg", category: "Complex", syntax: ["arg(x)"], description: "Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).", examples: ["arg(2 + 2i)", "atan2(3, 2)", "arg(2 + 3i)"], seealso: ["re", "im", "conj", "abs"] }, conj: { name: "conj", category: "Complex", syntax: ["conj(x)"], description: "Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.", examples: ["conj(2 + 3i)", "conj(2 - 3i)", "conj(-5.2i)"], seealso: ["re", "im", "abs", "arg"] }, re: { name: "re", category: "Complex", syntax: ["re(x)"], description: "Get the real part of a complex number.", examples: ["re(2 + 3i)", "im(2 + 3i)", "re(-5.2i)", "re(2.4)"], seealso: ["im", "conj", "abs", "arg"] }, im: { name: "im", category: "Complex", syntax: ["im(x)"], description: "Get the imaginary part of a complex number.", examples: ["im(2 + 3i)", "re(2 + 3i)", "im(-5.2i)", "im(2.4)"], seealso: ["re", "conj", "abs", "arg"] }, evaluate: { name: "evaluate", category: "Expression", syntax: ["evaluate(expression)", "evaluate([expr1, expr2, expr3, ...])"], description: "Evaluate an expression or an array with expressions.", examples: ['evaluate("2 + 3")', 'evaluate("sqrt(" + 4 + ")")'], seealso: [] }, help: { name: "help", category: "Expression", syntax: ["help(object)", "help(string)"], description: "Display documentation on a function or data type.", examples: ["help(sqrt)", 'help("complex")'], seealso: [] }, distance: { name: "distance", category: "Geometry", syntax: ["distance([x1, y1], [x2, y2])", "distance([[x1, y1], [x2, y2]])"], description: "Calculates the Euclidean distance between two points.", examples: ["distance([0,0], [4,4])", "distance([[0,0], [4,4]])"], seealso: [] }, intersect: { name: "intersect", category: "Geometry", syntax: ["intersect(expr1, expr2, expr3, expr4)", "intersect(expr1, expr2, expr3)"], description: "Computes the intersection point of lines and/or planes.", examples: ["intersect([0, 0], [10, 10], [10, 0], [0, 10])", "intersect([1, 0, 1], [4, -2, 2], [1, 1, 1, 6])"], seealso: [] }, and: { name: "and", category: "Logical", syntax: ["x and y", "and(x, y)"], description: "Logical and. Test whether two values are both defined with a nonzero/nonempty value.", examples: ["true and false", "true and true", "2 and 4"], seealso: ["not", "or", "xor"] }, not: { name: "not", category: "Logical", syntax: ["not x", "not(x)"], description: "Logical not. Flips the boolean value of given argument.", examples: ["not true", "not false", "not 2", "not 0"], seealso: ["and", "or", "xor"] }, or: { name: "or", category: "Logical", syntax: ["x or y", "or(x, y)"], description: "Logical or. Test if at least one value is defined with a nonzero/nonempty value.", examples: ["true or false", "false or false", "0 or 4"], seealso: ["not", "and", "xor"] }, xor: { name: "xor", category: "Logical", syntax: ["x xor y", "xor(x, y)"], description: "Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.", examples: ["true xor false", "false xor false", "true xor true", "0 xor 4"], seealso: ["not", "and", "or"] }, concat: { name: "concat", category: "Matrix", syntax: ["concat(A, B, C, ...)", "concat(A, B, C, ..., dim)"], description: "Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.", examples: ["A = [1, 2; 5, 6]", "B = [3, 4; 7, 8]", "concat(A, B)", "concat(A, B, 1)", "concat(A, B, 2)"], seealso: ["det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, cross: { name: "cross", category: "Matrix", syntax: ["cross(A, B)"], description: "Calculate the cross product for two vectors in three dimensional space.", examples: ["cross([1, 1, 0], [0, 1, 1])", "cross([3, -3, 1], [4, 9, 2])", "cross([2, 3, 4], [5, 6, 7])"], seealso: ["multiply", "dot"] }, column: { name: "column", category: "Matrix", syntax: ["column(x, index)"], description: "Return a column from a matrix or array.", examples: ["A = [[1, 2], [3, 4]]", "column(A, 1)", "column(A, 2)"], seealso: ["row"] }, ctranspose: { name: "ctranspose", category: "Matrix", syntax: ["x'", "ctranspose(x)"], description: "Complex Conjugate and Transpose a matrix", examples: ["a = [1, 2, 3; 4, 5, 6]", "a'", "ctranspose(a)"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "zeros"] }, det: { name: "det", category: "Matrix", syntax: ["det(x)"], description: "Calculate the determinant of a matrix", examples: ["det([1, 2; 3, 4])", "det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"], seealso: ["concat", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, diag: { name: "diag", category: "Matrix", syntax: ["diag(x)", "diag(x, k)"], description: "Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.", examples: ["diag(1:3)", "diag(1:3, 1)", "a = [1, 2, 3; 4, 5, 6; 7, 8, 9]", "diag(a)"], seealso: ["concat", "det", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, diff: { name: "diff", category: "Matrix", syntax: ["diff(arr)", "diff(arr, dim)"], description: ["Create a new matrix or array with the difference of the passed matrix or array.", "Dim parameter is optional and used to indicant the dimension of the array/matrix to apply the difference", "If no dimension parameter is passed it is assumed as dimension 0", "Dimension is zero-based in javascript and one-based in the parser", "Arrays must be 'rectangular' meaning arrays like [1, 2]", "If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays"], examples: ["diff([1, 2, 4, 7, 0])", "diff([1, 2, 4, 7, 0], 0)", "diff(matrix([1, 2, 4, 7, 0]))", "diff([[1, 2], [3, 4]])", "diff([[1, 2], [3, 4]], 0)", "diff([[1, 2], [3, 4]], 1)", "diff([[1, 2], [3, 4]], bignumber(1))", "diff(matrix([[1, 2], [3, 4]]), 1)", "diff([[1, 2], matrix([3, 4])], 1)"], seealso: ["subtract", "partitionSelect"] }, dot: { name: "dot", category: "Matrix", syntax: ["dot(A, B)", "A * B"], description: "Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn", examples: ["dot([2, 4, 1], [2, 2, 3])", "[2, 4, 1] * [2, 2, 3]"], seealso: ["multiply", "cross"] }, getMatrixDataType: { name: "getMatrixDataType", category: "Matrix", syntax: ["getMatrixDataType(x)"], description: 'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".', examples: ["getMatrixDataType([1, 2, 3])", "getMatrixDataType([[5 cm], [2 inch]])", 'getMatrixDataType([1, "text"])', "getMatrixDataType([1, bignumber(4)])"], seealso: ["matrix", "sparse", "typeOf"] }, identity: { name: "identity", category: "Matrix", syntax: ["identity(n)", "identity(m, n)", "identity([m, n])"], description: "Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.", examples: ["identity(3)", "identity(3, 5)", "a = [1, 2, 3; 4, 5, 6]", "identity(size(a))"], seealso: ["concat", "det", "diag", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, filter: { name: "filter", category: "Matrix", syntax: ["filter(x, test)"], description: "Filter items in a matrix.", examples: ["isPositive(x) = x > 0", "filter([6, -2, -1, 4, 3], isPositive)", "filter([6, -2, 0, 1, 0], x != 0)"], seealso: ["sort", "map", "forEach"] }, flatten: { name: "flatten", category: "Matrix", syntax: ["flatten(x)"], description: "Flatten a multi dimensional matrix into a single dimensional matrix.", examples: ["a = [1, 2, 3; 4, 5, 6]", "size(a)", "b = flatten(a)", "size(b)"], seealso: ["concat", "resize", "size", "squeeze"] }, forEach: { name: "forEach", category: "Matrix", syntax: ["forEach(x, callback)"], description: "Iterates over all elements of a matrix/array, and executes the given callback function.", examples: ["forEach([1, 2, 3], function(val) { console.log(val) })"], seealso: ["map", "sort", "filter"] }, inv: { name: "inv", category: "Matrix", syntax: ["inv(x)"], description: "Calculate the inverse of a matrix", examples: ["inv([1, 2; 3, 4])", "inv(4)", "1 / 4"], seealso: ["concat", "det", "diag", "identity", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, eigs: { name: "eigs", category: "Matrix", syntax: ["eigs(x)"], description: "Calculate the eigenvalues and eigenvectors of a real symmetric matrix", examples: ["eigs([[5, 2.3], [2.3, 1]])"], seealso: ["inv"] }, kron: { name: "kron", category: "Matrix", syntax: ["kron(x, y)"], description: "Calculates the kronecker product of 2 matrices or vectors.", examples: ["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])", "kron([1,1], [2,3,4])"], seealso: ["multiply", "dot", "cross"] }, map: { name: "map", category: "Matrix", syntax: ["map(x, callback)"], description: "Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.", examples: ["map([1, 2, 3], square)"], seealso: ["filter", "forEach"] }, ones: { name: "ones", category: "Matrix", syntax: ["ones(m)", "ones(m, n)", "ones(m, n, p, ...)", "ones([m])", "ones([m, n])", "ones([m, n, p, ...])"], description: "Create a matrix containing ones.", examples: ["ones(3)", "ones(3, 5)", "ones([2,3]) * 4.5", "a = [1, 2, 3; 4, 5, 6]", "ones(size(a))"], seealso: ["concat", "det", "diag", "identity", "inv", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, partitionSelect: { name: "partitionSelect", category: "Matrix", syntax: ["partitionSelect(x, k)", "partitionSelect(x, k, compare)"], description: "Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.", examples: ["partitionSelect([5, 10, 1], 2)", 'partitionSelect(["C", "B", "A", "D"], 1)'], seealso: ["sort"] }, range: { name: "range", category: "Type", syntax: ["start:end", "start:step:end", "range(start, end)", "range(start, end, step)", "range(string)"], description: "Create a range. Lower bound of the range is included, upper bound is excluded.", examples: ["1:5", "3:-1:-3", "range(3, 7)", "range(0, 12, 2)", 'range("4:10")', "a = [1, 2, 3, 4; 5, 6, 7, 8]", "a[1:2, 1:2]"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, resize: { name: "resize", category: "Matrix", syntax: ["resize(x, size)", "resize(x, size, defaultValue)"], description: "Resize a matrix.", examples: ["resize([1,2,3,4,5], [3])", "resize([1,2,3], [5])", "resize([1,2,3], [5], -1)", "resize(2, [2, 3])", 'resize("hello", [8], "!")'], seealso: ["size", "subset", "squeeze", "reshape"] }, reshape: { name: "reshape", category: "Matrix", syntax: ["reshape(x, sizes)"], description: "Reshape a multi dimensional array to fit the specified dimensions.", examples: ["reshape([1, 2, 3, 4, 5, 6], [2, 3])", "reshape([[1, 2], [3, 4]], [1, 4])", "reshape([[1, 2], [3, 4]], [4])"], seealso: ["size", "squeeze", "resize"] }, rotate: { name: "rotate", category: "Matrix", syntax: ["rotate(w, theta)", "rotate(w, theta, v)"], description: "Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.", examples: ["rotate([1, 0], math.pi / 2)", 'rotate(matrix([1, 0]), unit("35deg"))', 'rotate([1, 0, 0], unit("90deg"), [0, 0, 1])', 'rotate(matrix([1, 0, 0]), unit("90deg"), matrix([0, 0, 1]))'], seealso: ["matrix", "rotationMatrix"] }, rotationMatrix: { name: "rotationMatrix", category: "Matrix", syntax: ["rotationMatrix(theta)", "rotationMatrix(theta, v)", "rotationMatrix(theta, v, format)"], description: "Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.", examples: ["rotationMatrix(pi / 2)", 'rotationMatrix(unit("45deg"), [0, 0, 1])', 'rotationMatrix(1, matrix([0, 0, 1]), "sparse")'], seealso: ["cos", "sin"] }, row: { name: "row", category: "Matrix", syntax: ["row(x, index)"], description: "Return a row from a matrix or array.", examples: ["A = [[1, 2], [3, 4]]", "row(A, 1)", "row(A, 2)"], seealso: ["column"] }, size: { name: "size", category: "Matrix", syntax: ["size(x)"], description: "Calculate the size of a matrix.", examples: ["size(2.3)", 'size("hello world")', "a = [1, 2; 3, 4; 5, 6]", "size(a)", "size(1:6)"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "squeeze", "subset", "trace", "transpose", "zeros"] }, sort: { name: "sort", category: "Matrix", syntax: ["sort(x)", "sort(x, compare)"], description: 'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.', examples: ["sort([5, 10, 1])", 'sort(["C", "B", "A", "D"])', "sortByLength(a, b) = size(a)[1] - size(b)[1]", 'sort(["Langdon", "Tom", "Sara"], sortByLength)', 'sort(["10", "1", "2"], "natural")'], seealso: ["map", "filter", "forEach"] }, squeeze: { name: "squeeze", category: "Matrix", syntax: ["squeeze(x)"], description: "Remove inner and outer singleton dimensions from a matrix.", examples: ["a = zeros(3,2,1)", "size(squeeze(a))", "b = zeros(1,1,3)", "size(squeeze(b))"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "subset", "trace", "transpose", "zeros"] }, subset: { name: "subset", category: "Matrix", syntax: ["value(index)", "value(index) = replacement", "subset(value, [index])", "subset(value, [index], replacement)"], description: "Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.", examples: ["d = [1, 2; 3, 4]", "e = []", "e[1, 1:2] = [5, 6]", "e[2, :] = [7, 8]", "f = d * e", "f[2, 1]", "f[:, 1]"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "trace", "transpose", "zeros"] }, trace: { name: "trace", category: "Matrix", syntax: ["trace(A)"], description: "Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.", examples: ["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]", "trace(A)"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "transpose", "zeros"] }, transpose: { name: "transpose", category: "Matrix", syntax: ["x'", "transpose(x)"], description: "Transpose a matrix", examples: ["a = [1, 2, 3; 4, 5, 6]", "a'", "transpose(a)"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "zeros"] }, zeros: { name: "zeros", category: "Matrix", syntax: ["zeros(m)", "zeros(m, n)", "zeros(m, n, p, ...)", "zeros([m])", "zeros([m, n])", "zeros([m, n, p, ...])"], description: "Create a matrix containing zeros.", examples: ["zeros(3)", "zeros(3, 5)", "a = [1, 2, 3; 4, 5, 6]", "zeros(size(a))"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose"] }, combinations: { name: "combinations", category: "Probability", syntax: ["combinations(n, k)"], description: "Compute the number of combinations of n items taken k at a time", examples: ["combinations(7, 5)"], seealso: ["combinationsWithRep", "permutations", "factorial"] }, combinationsWithRep: { name: "combinationsWithRep", category: "Probability", syntax: ["combinationsWithRep(n, k)"], description: "Compute the number of combinations of n items taken k at a time with replacements.", examples: ["combinationsWithRep(7, 5)"], seealso: ["combinations", "permutations", "factorial"] }, factorial: { name: "factorial", category: "Probability", syntax: ["n!", "factorial(n)"], description: "Compute the factorial of a value", examples: ["5!", "5 * 4 * 3 * 2 * 1", "3!"], seealso: ["combinations", "combinationsWithRep", "permutations", "gamma"] }, gamma: { name: "gamma", category: "Probability", syntax: ["gamma(n)"], description: "Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.", examples: ["gamma(4)", "3!", "gamma(1/2)", "sqrt(pi)"], seealso: ["factorial"] }, kldivergence: { name: "kldivergence", category: "Probability", syntax: ["kldivergence(x, y)"], description: "Calculate the Kullback-Leibler (KL) divergence between two distributions.", examples: ["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"], seealso: [] }, multinomial: { name: "multinomial", category: "Probability", syntax: ["multinomial(A)"], description: "Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.", examples: ["multinomial([1, 2, 1])"], seealso: ["combinations", "factorial"] }, permutations: { name: "permutations", category: "Probability", syntax: ["permutations(n)", "permutations(n, k)"], description: "Compute the number of permutations of n items taken k at a time", examples: ["permutations(5)", "permutations(5, 3)"], seealso: ["combinations", "combinationsWithRep", "factorial"] }, pickRandom: { name: "pickRandom", category: "Probability", syntax: ["pickRandom(array)", "pickRandom(array, number)", "pickRandom(array, weights)", "pickRandom(array, number, weights)", "pickRandom(array, weights, number)"], description: "Pick a random entry from a given array.", examples: ["pickRandom(0:10)", "pickRandom([1, 3, 1, 6])", "pickRandom([1, 3, 1, 6], 2)", "pickRandom([1, 3, 1, 6], [2, 3, 2, 1])", "pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])", "pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"], seealso: ["random", "randomInt"] }, random: { name: "random", category: "Probability", syntax: ["random()", "random(max)", "random(min, max)", "random(size)", "random(size, max)", "random(size, min, max)"], description: "Return a random number.", examples: ["random()", "random(10, 20)", "random([2, 3])"], seealso: ["pickRandom", "randomInt"] }, randomInt: { name: "randomInt", category: "Probability", syntax: ["randomInt(max)", "randomInt(min, max)", "randomInt(size)", "randomInt(size, max)", "randomInt(size, min, max)"], description: "Return a random integer number", examples: ["randomInt(10, 20)", "randomInt([2, 3], 10)"], seealso: ["pickRandom", "random"] }, compare: { name: "compare", category: "Relational", syntax: ["compare(x, y)"], description: "Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", examples: ["compare(2, 3)", "compare(3, 2)", "compare(2, 2)", "compare(5cm, 40mm)", "compare(2, [1, 2, 3])"], seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compareNatural", "compareText"] }, compareNatural: { name: "compareNatural", category: "Relational", syntax: ["compareNatural(x, y)"], description: "Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", examples: ["compareNatural(2, 3)", "compareNatural(3, 2)", "compareNatural(2, 2)", "compareNatural(5cm, 40mm)", 'compareNatural("2", "10")', "compareNatural(2 + 3i, 2 + 4i)", "compareNatural([1, 2, 4], [1, 2, 3])", "compareNatural([1, 5], [1, 2, 3])", "compareNatural([1, 2], [1, 2])", "compareNatural({a: 2}, {a: 4})"], seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compare", "compareText"] }, compareText: { name: "compareText", category: "Relational", syntax: ["compareText(x, y)"], description: "Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", examples: ['compareText("B", "A")', 'compareText("A", "B")', 'compareText("A", "A")', 'compareText("2", "10")', 'compare("2", "10")', "compare(2, 10)", 'compareNatural("2", "10")', 'compareText("B", ["A", "B", "C"])'], seealso: ["compare", "compareNatural"] }, deepEqual: { name: "deepEqual", category: "Relational", syntax: ["deepEqual(x, y)"], description: "Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.", examples: ["deepEqual([1,3,4], [1,3,4])", "deepEqual([1,3,4], [1,3])"], seealso: ["equal", "unequal", "smaller", "larger", "smallerEq", "largerEq", "compare"] }, equal: { name: "equal", category: "Relational", syntax: ["x == y", "equal(x, y)"], description: "Check equality of two values. Returns true if the values are equal, and false if not.", examples: ["2+2 == 3", "2+2 == 4", "a = 3.2", "b = 6-2.8", "a == b", "50cm == 0.5m"], seealso: ["unequal", "smaller", "larger", "smallerEq", "largerEq", "compare", "deepEqual", "equalText"] }, equalText: { name: "equalText", category: "Relational", syntax: ["equalText(x, y)"], description: "Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.", examples: ['equalText("Hello", "Hello")', 'equalText("a", "A")', 'equal("2e3", "2000")', 'equalText("2e3", "2000")', 'equalText("B", ["A", "B", "C"])'], seealso: ["compare", "compareNatural", "compareText", "equal"] }, larger: { name: "larger", category: "Relational", syntax: ["x > y", "larger(x, y)"], description: "Check if value x is larger than y. Returns true if x is larger than y, and false if not.", examples: ["2 > 3", "5 > 2*2", "a = 3.3", "b = 6-2.8", "(a > b)", "(b < a)", "5 cm > 2 inch"], seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compare"] }, largerEq: { name: "largerEq", category: "Relational", syntax: ["x >= y", "largerEq(x, y)"], description: "Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.", examples: ["2 >= 1+1", "2 > 1+1", "a = 3.2", "b = 6-2.8", "(a >= b)"], seealso: ["equal", "unequal", "smallerEq", "smaller", "compare"] }, smaller: { name: "smaller", category: "Relational", syntax: ["x < y", "smaller(x, y)"], description: "Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.", examples: ["2 < 3", "5 < 2*2", "a = 3.3", "b = 6-2.8", "(a < b)", "5 cm < 2 inch"], seealso: ["equal", "unequal", "larger", "smallerEq", "largerEq", "compare"] }, smallerEq: { name: "smallerEq", category: "Relational", syntax: ["x <= y", "smallerEq(x, y)"], description: "Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.", examples: ["2 <= 1+1", "2 < 1+1", "a = 3.2", "b = 6-2.8", "(a <= b)"], seealso: ["equal", "unequal", "larger", "smaller", "largerEq", "compare"] }, unequal: { name: "unequal", category: "Relational", syntax: ["x != y", "unequal(x, y)"], description: "Check unequality of two values. Returns true if the values are unequal, and false if they are equal.", examples: ["2+2 != 3", "2+2 != 4", "a = 3.2", "b = 6-2.8", "a != b", "50cm != 0.5m", "5 cm != 2 inch"], seealso: ["equal", "smaller", "larger", "smallerEq", "largerEq", "compare", "deepEqual"] }, setCartesian: { name: "setCartesian", category: "Set", syntax: ["setCartesian(set1, set2)"], description: "Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setCartesian([1, 2], [3, 4])"], seealso: ["setUnion", "setIntersect", "setDifference", "setPowerset"] }, setDifference: { name: "setDifference", category: "Set", syntax: ["setDifference(set1, set2)"], description: "Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setDifference([1, 2, 3, 4], [3, 4, 5, 6])", "setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], seealso: ["setUnion", "setIntersect", "setSymDifference"] }, setDistinct: { name: "setDistinct", category: "Set", syntax: ["setDistinct(set)"], description: "Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.", examples: ["setDistinct([1, 1, 1, 2, 2, 3])"], seealso: ["setMultiplicity"] }, setIntersect: { name: "setIntersect", category: "Set", syntax: ["setIntersect(set1, set2)"], description: "Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])", "setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], seealso: ["setUnion", "setDifference"] }, setIsSubset: { name: "setIsSubset", category: "Set", syntax: ["setIsSubset(set1, set2)"], description: "Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setIsSubset([1, 2], [3, 4, 5, 6])", "setIsSubset([3, 4], [3, 4, 5, 6])"], seealso: ["setUnion", "setIntersect", "setDifference"] }, setMultiplicity: { name: "setMultiplicity", category: "Set", syntax: ["setMultiplicity(element, set)"], description: "Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.", examples: ["setMultiplicity(1, [1, 2, 2, 4])", "setMultiplicity(2, [1, 2, 2, 4])"], seealso: ["setDistinct", "setSize"] }, setPowerset: { name: "setPowerset", category: "Set", syntax: ["setPowerset(set)"], description: "Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.", examples: ["setPowerset([1, 2, 3])"], seealso: ["setCartesian"] }, setSize: { name: "setSize", category: "Set", syntax: ["setSize(set)", "setSize(set, unique)"], description: 'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.', examples: ["setSize([1, 2, 2, 4])", "setSize([1, 2, 2, 4], true)"], seealso: ["setUnion", "setIntersect", "setDifference"] }, setSymDifference: { name: "setSymDifference", category: "Set", syntax: ["setSymDifference(set1, set2)"], description: "Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])", "setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], seealso: ["setUnion", "setIntersect", "setDifference"] }, setUnion: { name: "setUnion", category: "Set", syntax: ["setUnion(set1, set2)"], description: "Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setUnion([1, 2, 3, 4], [3, 4, 5, 6])", "setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], seealso: ["setIntersect", "setDifference"] }, erf: { name: "erf", category: "Special", syntax: ["erf(x)"], description: "Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x", examples: ["erf(0.2)", "erf(-0.5)", "erf(4)"], seealso: [] }, mad: { name: "mad", category: "Statistics", syntax: ["mad(a, b, c, ...)", "mad(A)"], description: "Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.", examples: ["mad(10, 20, 30)", "mad([1, 2, 3])"], seealso: ["mean", "median", "std", "abs"] }, max: { name: "max", category: "Statistics", syntax: ["max(a, b, c, ...)", "max(A)", "max(A, dim)"], description: "Compute the maximum value of a list of values.", examples: ["max(2, 3, 4, 1)", "max([2, 3, 4, 1])", "max([2, 5; 4, 3])", "max([2, 5; 4, 3], 1)", "max([2, 5; 4, 3], 2)", "max(2.7, 7.1, -4.5, 2.0, 4.1)", "min(2.7, 7.1, -4.5, 2.0, 4.1)"], seealso: ["mean", "median", "min", "prod", "std", "sum", "variance"] }, mean: { name: "mean", category: "Statistics", syntax: ["mean(a, b, c, ...)", "mean(A)", "mean(A, dim)"], description: "Compute the arithmetic mean of a list of values.", examples: ["mean(2, 3, 4, 1)", "mean([2, 3, 4, 1])", "mean([2, 5; 4, 3])", "mean([2, 5; 4, 3], 1)", "mean([2, 5; 4, 3], 2)", "mean([1.0, 2.7, 3.2, 4.0])"], seealso: ["max", "median", "min", "prod", "std", "sum", "variance"] }, median: { name: "median", category: "Statistics", syntax: ["median(a, b, c, ...)", "median(A)"], description: "Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.", examples: ["median(5, 2, 7)", "median([3, -1, 5, 7])"], seealso: ["max", "mean", "min", "prod", "std", "sum", "variance", "quantileSeq"] }, min: { name: "min", category: "Statistics", syntax: ["min(a, b, c, ...)", "min(A)", "min(A, dim)"], description: "Compute the minimum value of a list of values.", examples: ["min(2, 3, 4, 1)", "min([2, 3, 4, 1])", "min([2, 5; 4, 3])", "min([2, 5; 4, 3], 1)", "min([2, 5; 4, 3], 2)", "min(2.7, 7.1, -4.5, 2.0, 4.1)", "max(2.7, 7.1, -4.5, 2.0, 4.1)"], seealso: ["max", "mean", "median", "prod", "std", "sum", "variance"] }, mode: { name: "mode", category: "Statistics", syntax: ["mode(a, b, c, ...)", "mode(A)", "mode(A, a, b, B, c, ...)"], description: "Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.", examples: ["mode(2, 1, 4, 3, 1)", "mode([1, 2.7, 3.2, 4, 2.7])", "mode(1, 4, 6, 1, 6)"], seealso: ["max", "mean", "min", "median", "prod", "std", "sum", "variance"] }, prod: { name: "prod", category: "Statistics", syntax: ["prod(a, b, c, ...)", "prod(A)"], description: "Compute the product of all values.", examples: ["prod(2, 3, 4)", "prod([2, 3, 4])", "prod([2, 5; 4, 3])"], seealso: ["max", "mean", "min", "median", "min", "std", "sum", "variance"] }, quantileSeq: { name: "quantileSeq", category: "Statistics", syntax: ["quantileSeq(A, prob[, sorted])", "quantileSeq(A, [prob1, prob2, ...][, sorted])", "quantileSeq(A, N[, sorted])"], description: "Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.", examples: ["quantileSeq([3, -1, 5, 7], 0.5)", "quantileSeq([3, -1, 5, 7], [1/3, 2/3])", "quantileSeq([3, -1, 5, 7], 2)", "quantileSeq([-1, 3, 5, 7], 0.5, true)"], seealso: ["mean", "median", "min", "max", "prod", "std", "sum", "variance"] }, std: { name: "std", category: "Statistics", syntax: ["std(a, b, c, ...)", "std(A)", "std(A, normalization)"], description: 'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".', examples: ["std(2, 4, 6)", "std([2, 4, 6, 8])", 'std([2, 4, 6, 8], "uncorrected")', 'std([2, 4, 6, 8], "biased")', "std([1, 2, 3; 4, 5, 6])"], seealso: ["max", "mean", "min", "median", "prod", "sum", "variance"] }, sum: { name: "sum", category: "Statistics", syntax: ["sum(a, b, c, ...)", "sum(A)"], description: "Compute the sum of all values.", examples: ["sum(2, 3, 4, 1)", "sum([2, 3, 4, 1])", "sum([2, 5; 4, 3])"], seealso: ["max", "mean", "median", "min", "prod", "std", "sum", "variance"] }, variance: { name: "variance", category: "Statistics", syntax: ["variance(a, b, c, ...)", "variance(A)", "variance(A, normalization)"], description: 'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".', examples: ["variance(2, 4, 6)", "variance([2, 4, 6, 8])", 'variance([2, 4, 6, 8], "uncorrected")', 'variance([2, 4, 6, 8], "biased")', "variance([1, 2, 3; 4, 5, 6])"], seealso: ["max", "mean", "min", "median", "min", "prod", "std", "sum"] }, acos: { name: "acos", category: "Trigonometry", syntax: ["acos(x)"], description: "Compute the inverse cosine of a value in radians.", examples: ["acos(0.5)", "acos(cos(2.3))"], seealso: ["cos", "atan", "asin"] }, acosh: { name: "acosh", category: "Trigonometry", syntax: ["acosh(x)"], description: "Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.", examples: ["acosh(1.5)"], seealso: ["cosh", "asinh", "atanh"] }, acot: { name: "acot", category: "Trigonometry", syntax: ["acot(x)"], description: "Calculate the inverse cotangent of a value.", examples: ["acot(0.5)", "acot(cot(0.5))", "acot(2)"], seealso: ["cot", "atan"] }, acoth: { name: "acoth", category: "Trigonometry", syntax: ["acoth(x)"], description: "Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.", examples: ["acoth(2)", "acoth(0.5)"], seealso: ["acsch", "asech"] }, acsc: { name: "acsc", category: "Trigonometry", syntax: ["acsc(x)"], description: "Calculate the inverse cotangent of a value.", examples: ["acsc(2)", "acsc(csc(0.5))", "acsc(0.5)"], seealso: ["csc", "asin", "asec"] }, acsch: { name: "acsch", category: "Trigonometry", syntax: ["acsch(x)"], description: "Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.", examples: ["acsch(0.5)"], seealso: ["asech", "acoth"] }, asec: { name: "asec", category: "Trigonometry", syntax: ["asec(x)"], description: "Calculate the inverse secant of a value.", examples: ["asec(0.5)", "asec(sec(0.5))", "asec(2)"], seealso: ["acos", "acot", "acsc"] }, asech: { name: "asech", category: "Trigonometry", syntax: ["asech(x)"], description: "Calculate the inverse secant of a value.", examples: ["asech(0.5)"], seealso: ["acsch", "acoth"] }, asin: { name: "asin", category: "Trigonometry", syntax: ["asin(x)"], description: "Compute the inverse sine of a value in radians.", examples: ["asin(0.5)", "asin(sin(0.5))"], seealso: ["sin", "acos", "atan"] }, asinh: { name: "asinh", category: "Trigonometry", syntax: ["asinh(x)"], description: "Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.", examples: ["asinh(0.5)"], seealso: ["acosh", "atanh"] }, atan: { name: "atan", category: "Trigonometry", syntax: ["atan(x)"], description: "Compute the inverse tangent of a value in radians.", examples: ["atan(0.5)", "atan(tan(0.5))"], seealso: ["tan", "acos", "asin"] }, atanh: { name: "atanh", category: "Trigonometry", syntax: ["atanh(x)"], description: "Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.", examples: ["atanh(0.5)"], seealso: ["acosh", "asinh"] }, atan2: { name: "atan2", category: "Trigonometry", syntax: ["atan2(y, x)"], description: "Computes the principal value of the arc tangent of y/x in radians.", examples: ["atan2(2, 2) / pi", "angle = 60 deg in rad", "x = cos(angle)", "y = sin(angle)", "atan2(y, x)"], seealso: ["sin", "cos", "tan"] }, cos: { name: "cos", category: "Trigonometry", syntax: ["cos(x)"], description: "Compute the cosine of x in radians.", examples: ["cos(2)", "cos(pi / 4) ^ 2", "cos(180 deg)", "cos(60 deg)", "sin(0.2)^2 + cos(0.2)^2"], seealso: ["acos", "sin", "tan"] }, cosh: { name: "cosh", category: "Trigonometry", syntax: ["cosh(x)"], description: "Compute the hyperbolic cosine of x in radians.", examples: ["cosh(0.5)"], seealso: ["sinh", "tanh", "coth"] }, cot: { name: "cot", category: "Trigonometry", syntax: ["cot(x)"], description: "Compute the cotangent of x in radians. Defined as 1/tan(x)", examples: ["cot(2)", "1 / tan(2)"], seealso: ["sec", "csc", "tan"] }, coth: { name: "coth", category: "Trigonometry", syntax: ["coth(x)"], description: "Compute the hyperbolic cotangent of x in radians.", examples: ["coth(2)", "1 / tanh(2)"], seealso: ["sech", "csch", "tanh"] }, csc: { name: "csc", category: "Trigonometry", syntax: ["csc(x)"], description: "Compute the cosecant of x in radians. Defined as 1/sin(x)", examples: ["csc(2)", "1 / sin(2)"], seealso: ["sec", "cot", "sin"] }, csch: { name: "csch", category: "Trigonometry", syntax: ["csch(x)"], description: "Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)", examples: ["csch(2)", "1 / sinh(2)"], seealso: ["sech", "coth", "sinh"] }, sec: { name: "sec", category: "Trigonometry", syntax: ["sec(x)"], description: "Compute the secant of x in radians. Defined as 1/cos(x)", examples: ["sec(2)", "1 / cos(2)"], seealso: ["cot", "csc", "cos"] }, sech: { name: "sech", category: "Trigonometry", syntax: ["sech(x)"], description: "Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)", examples: ["sech(2)", "1 / cosh(2)"], seealso: ["coth", "csch", "cosh"] }, sin: { name: "sin", category: "Trigonometry", syntax: ["sin(x)"], description: "Compute the sine of x in radians.", examples: ["sin(2)", "sin(pi / 4) ^ 2", "sin(90 deg)", "sin(30 deg)", "sin(0.2)^2 + cos(0.2)^2"], seealso: ["asin", "cos", "tan"] }, sinh: { name: "sinh", category: "Trigonometry", syntax: ["sinh(x)"], description: "Compute the hyperbolic sine of x in radians.", examples: ["sinh(0.5)"], seealso: ["cosh", "tanh"] }, tan: { name: "tan", category: "Trigonometry", syntax: ["tan(x)"], description: "Compute the tangent of x in radians.", examples: ["tan(0.5)", "sin(0.5) / cos(0.5)", "tan(pi / 4)", "tan(45 deg)"], seealso: ["atan", "sin", "cos"] }, tanh: { name: "tanh", category: "Trigonometry", syntax: ["tanh(x)"], description: "Compute the hyperbolic tangent of x in radians.", examples: ["tanh(0.5)", "sinh(0.5) / cosh(0.5)"], seealso: ["sinh", "cosh"] }, to: { name: "to", category: "Units", syntax: ["x to unit", "to(x, unit)"], description: "Change the unit of a value.", examples: ["5 inch to cm", "3.2kg to g", "16 bytes in bits"], seealso: [] }, clone: { name: "clone", category: "Utils", syntax: ["clone(x)"], description: "Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices", examples: ["clone(3.5)", "clone(2 - 4i)", "clone(45 deg)", "clone([1, 2; 3, 4])", 'clone("hello world")'], seealso: [] }, format: { name: "format", category: "Utils", syntax: ["format(value)", "format(value, precision)"], description: "Format a value of any type as string.", examples: ["format(2.3)", "format(3 - 4i)", "format([])", "format(pi, 3)"], seealso: ["print"] }, bin: { name: "bin", category: "Utils", syntax: ["bin(value)"], description: "Format a number as binary", examples: ["bin(2)"], seealso: ["oct", "hex"] }, oct: { name: "oct", category: "Utils", syntax: ["oct(value)"], description: "Format a number as octal", examples: ["oct(56)"], seealso: ["bin", "hex"] }, hex: { name: "hex", category: "Utils", syntax: ["hex(value)"], description: "Format a number as hexadecimal", examples: ["hex(240)"], seealso: ["bin", "oct"] }, isNaN: { name: "isNaN", category: "Utils", syntax: ["isNaN(x)"], description: "Test whether a value is NaN (not a number)", examples: ["isNaN(2)", "isNaN(0 / 0)", "isNaN(NaN)", "isNaN(Infinity)"], seealso: ["isNegative", "isNumeric", "isPositive", "isZero"] }, isInteger: { name: "isInteger", category: "Utils", syntax: ["isInteger(x)"], description: "Test whether a value is an integer number.", examples: ["isInteger(2)", "isInteger(3.5)", "isInteger([3, 0.5, -2])"], seealso: ["isNegative", "isNumeric", "isPositive", "isZero"] }, isNegative: { name: "isNegative", category: "Utils", syntax: ["isNegative(x)"], description: "Test whether a value is negative: smaller than zero.", examples: ["isNegative(2)", "isNegative(0)", "isNegative(-4)", "isNegative([3, 0.5, -2])"], seealso: ["isInteger", "isNumeric", "isPositive", "isZero"] }, isNumeric: { name: "isNumeric", category: "Utils", syntax: ["isNumeric(x)"], description: "Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.", examples: ["isNumeric(2)", 'isNumeric("2")', 'hasNumericValue("2")', "isNumeric(0)", "isNumeric(bignumber(500))", "isNumeric(fraction(0.125))", "isNumeric(2 + 3i)", 'isNumeric([2.3, "foo", false])'], seealso: ["isInteger", "isZero", "isNegative", "isPositive", "isNaN", "hasNumericValue"] }, hasNumericValue: { name: "hasNumericValue", category: "Utils", syntax: ["hasNumericValue(x)"], description: "Test whether a value is an numeric value. In case of a string, true is returned if the string contains a numeric value.", examples: ["hasNumericValue(2)", 'hasNumericValue("2")', 'isNumeric("2")', "hasNumericValue(0)", "hasNumericValue(bignumber(500))", "hasNumericValue(fraction(0.125))", "hasNumericValue(2 + 3i)", 'hasNumericValue([2.3, "foo", false])'], seealso: ["isInteger", "isZero", "isNegative", "isPositive", "isNaN", "isNumeric"] }, isPositive: { name: "isPositive", category: "Utils", syntax: ["isPositive(x)"], description: "Test whether a value is positive: larger than zero.", examples: ["isPositive(2)", "isPositive(0)", "isPositive(-4)", "isPositive([3, 0.5, -2])"], seealso: ["isInteger", "isNumeric", "isNegative", "isZero"] }, isPrime: { name: "isPrime", category: "Utils", syntax: ["isPrime(x)"], description: "Test whether a value is prime: has no divisors other than itself and one.", examples: ["isPrime(3)", "isPrime(-2)", "isPrime([2, 17, 100])"], seealso: ["isInteger", "isNumeric", "isNegative", "isZero"] }, isZero: { name: "isZero", category: "Utils", syntax: ["isZero(x)"], description: "Test whether a value is zero.", examples: ["isZero(2)", "isZero(0)", "isZero(-4)", "isZero([3, 0, -2, 0])"], seealso: ["isInteger", "isNumeric", "isNegative", "isPositive"] }, typeOf: { name: "typeOf", category: "Utils", syntax: ["typeOf(x)"], description: "Get the type of a variable.", examples: ["typeOf(3.5)", "typeOf(2 - 4i)", "typeOf(45 deg)", 'typeOf("hello world")'], seealso: ["getMatrixDataType"] }, numeric: { name: "numeric", category: "Utils", syntax: ["numeric(x)"], description: "Convert a numeric input to a specific numeric type: number, BigNumber, or Fraction.", examples: ['numeric("4")', 'numeric("4", "number")', 'numeric("4", "BigNumber")', 'numeric("4", "Fraction)', 'numeric(4, "Fraction")', 'numeric(fraction(2, 5), "number)'], seealso: ["number", "fraction", "bignumber", "string", "format"] } }, _u = Je("help", ["typed", "mathWithTransform", "Help"], (function (e) { var t = e.typed, r = e.mathWithTransform, n = e.Help; return t("help", { any: function (e) { var t, i = e; if ("string" != typeof e) for (t in r) if (Ze(r, t) && e === r[t]) { i = t; break } var a = vi(Cu, i); if (!a) { var o = "function" == typeof i ? i.name : i; throw new Error('No documentation found on "' + o + '"') } return new n(a) } }) })), Tu = Je("chain", ["typed", "Chain"], (function (e) { var t = e.typed, r = e.Chain; return t("chain", { "": function () { return new r }, any: function (e) { return new r(e) } }) })), qu = Je("det", ["typed", "matrix", "subtract", "multiply", "unaryMinus", "lup"], (function (e) { var t = e.typed, r = e.matrix, n = e.subtract, i = e.multiply, a = e.unaryMinus, o = e.lup; return t("det", { any: function (e) { return Fe(e) }, "Array | Matrix": function (e) { var t; switch ((t = p(e) ? e.size() : Array.isArray(e) ? (e = r(e)).size() : []).length) { case 0: return Fe(e); case 1: if (1 === t[0]) return Fe(e.valueOf()[0]); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); case 2: var s = t[0], u = t[1]; if (s === u) return function (e, t, r) { if (1 === t) return Fe(e[0][0]); if (2 === t) return n(i(e[0][0], e[1][1]), i(e[1][0], e[0][1])); for (var s = o(e), u = s.U[0][0], c = 1; c < t; c++)u = i(u, s.U[c][c]); for (var f = 0, l = 0, p = []; ;) { for (; p[l];)l++; if (l >= t) break; for (var m = l, h = 0; !p[s.p[m]];)p[s.p[m]] = !0, m = s.p[m], h++; h % 2 == 0 && f++ } return f % 2 == 0 ? u : a(u) }(e.clone().valueOf(), s); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); default: throw new RangeError("Matrix must be two dimensional (size: " + ge(t) + ")") } } }) })), zu = Je("inv", ["typed", "matrix", "divideScalar", "addScalar", "multiply", "unaryMinus", "det", "identity", "abs"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.addScalar, a = e.multiply, o = e.unaryMinus, s = e.det, u = e.identity, c = e.abs; return t("inv", { "Array | Matrix": function (e) { var t = p(e) ? e.size() : Me(e); switch (t.length) { case 1: if (1 === t[0]) return p(e) ? r([n(1, e.valueOf()[0])]) : [n(1, e[0])]; throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); case 2: var i = t[0], a = t[1]; if (i === a) return p(e) ? r(f(e.valueOf(), i, a), e.storage()) : f(e, i, a); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); default: throw new RangeError("Matrix must be two dimensional (size: " + ge(t) + ")") } }, any: function (e) { return n(1, e) } }); function f(e, t, r) { var f, l, p, m, h; if (1 === t) { if (0 === (m = e[0][0])) throw Error("Cannot calculate inverse, determinant is zero"); return [[n(1, m)]] } if (2 === t) { var d = s(e); if (0 === d) throw Error("Cannot calculate inverse, determinant is zero"); return [[n(e[1][1], d), n(o(e[0][1]), d)], [n(o(e[1][0]), d), n(e[0][0], d)]] } var y = e.concat(); for (f = 0; f < t; f++)y[f] = y[f].concat(); for (var g = u(t).valueOf(), v = 0; v < r; v++) { var x = c(y[v][v]), b = v; for (f = v + 1; f < t;)c(y[f][v]) > x && (x = c(y[f][v]), b = f), f++; if (0 === x) throw Error("Cannot calculate inverse, determinant is zero"); (f = b) !== v && (h = y[v], y[v] = y[f], y[f] = h, h = g[v], g[v] = g[f], g[f] = h); var w = y[v], N = g[v]; for (f = 0; f < t; f++) { var M = y[f], S = g[f]; if (f !== v) { if (0 !== M[v]) { for (p = n(o(M[v]), w[v]), l = v; l < r; l++)M[l] = i(M[l], a(p, w[l])); for (l = 0; l < r; l++)S[l] = i(S[l], a(p, N[l])) } } else { for (p = w[v], l = v; l < r; l++)M[l] = n(M[l], p); for (l = 0; l < r; l++)S[l] = n(S[l], p) } } } return g } })), ku = Je("eigs", ["config", "typed", "matrix", "addScalar", "equal", "subtract", "abs", "atan", "cos", "sin", "multiplyScalar", "inv", "bignumber", "multiply", "add"], (function (e) { var t = e.config, r = e.typed, n = e.matrix, i = e.addScalar, a = e.subtract, o = e.equal, s = e.abs, u = e.atan, c = e.cos, f = e.sin, l = e.multiplyScalar, p = e.inv, m = e.bignumber, h = e.multiply, d = e.add; return r("eigs", { Array: function (e) { var t = n(e), r = t.size(); if (2 !== r.length || r[0] !== r[1]) throw new RangeError("Matrix must be square (size: " + ge(r) + ")"); var i = y(t, r[0]); return { values: i[0], vectors: i[1] } }, Matrix: function (e) { var t = e.size(); if (2 !== t.length || t[0] !== t[1]) throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); var r = y(e, t[0]); return { values: n(r[0]), vectors: n(r[1]) } } }); function y(e, r) { var n = e.datatype(); if (void 0 === n && (n = e.getDataType()), "number" !== n && "BigNumber" !== n && "Fraction" !== n) throw "mixed" === n ? new TypeError("Mixed matrix element type is not supported") : new TypeError("Matrix element type not supported (" + n + ")"); if (function (e, t) { for (var r = 0; r < t; r++)for (var n = r; n < t; n++)if (!o(e[r][n], e[n][r])) throw new TypeError("Input matrix is not symmetric") }(e.toArray(), r), "number" === n) return g(e.toArray()); if ("Fraction" === n) { for (var i = e.toArray(), a = 0; a < r; a++)for (var u = a; u < r; u++)i[a][u] = i[a][u].valueOf(), i[u][a] = i[a][u]; return g(e.toArray()) } return "BigNumber" === n ? function (e) { for (var r, n = e.length, i = s(t.epsilon / n), a = new Array(n), o = 0; o < n; o++)a[o] = O(n, 0), a[o][o] = 1; var u = E(e); for (; s(u[1]) >= s(i);) { var c = u[0][0], f = u[0][1]; r = x(e[c][c], e[f][f], e[c][f]), e = N(e, r, c, f), a = w(a, r, c, f), u = E(e) } for (var l = O(n, 0), p = 0; p < n; p++)l[p] = e[p][p]; return A(Fe(l), Fe(a)) }(e.toArray()) : void 0 } function g(e) { for (var r, n = e.length, i = Math.abs(t.epsilon / n), a = new Array(n), o = 0; o < n; o++)a[o] = O(n, 0), a[o][o] = 1; for (var s = S(e); Math.abs(s[1]) >= Math.abs(i);) { var u = s[0][0], c = s[0][1]; e = M(e, r = v(e[u][u], e[c][c], e[u][c]), u, c), a = b(a, r, u, c), s = S(e) } for (var f = O(n, 0), l = 0; l < n; l++)f[l] = e[l][l]; return A(Fe(f), Fe(a)) } function v(e, r, n) { var i = r - e; return Math.abs(i) <= t.epsilon ? Math.PI / 4 : .5 * Math.atan(2 * n / (r - e)) } function x(e, r, n) { var i = a(r, e); return s(i) <= t.epsilon ? m(-1).acos().div(4) : l(.5, u(h(2, n, p(i)))) } function b(e, t, r, n) { for (var i = e.length, a = Math.cos(t), o = Math.sin(t), s = O(i, 0), u = O(i, 0), c = 0; c < i; c++)s[c] = a * e[c][r] - o * e[c][n], u[c] = o * e[c][r] + a * e[c][n]; for (var f = 0; f < i; f++)e[f][r] = s[f], e[f][n] = u[f]; return e } function w(e, t, r, n) { for (var o = e.length, s = c(t), u = f(t), p = O(o, m(0)), h = O(o, m(0)), d = 0; d < o; d++)p[d] = a(l(s, e[d][r]), l(u, e[d][n])), h[d] = i(l(u, e[d][r]), l(s, e[d][n])); for (var y = 0; y < o; y++)e[y][r] = p[y], e[y][n] = h[y]; return e } function N(e, t, r, n) { for (var o = e.length, s = m(c(t)), u = m(f(t)), p = l(s, s), y = l(u, u), g = O(o, m(0)), v = O(o, m(0)), x = h(m(2), s, u, e[r][n]), b = i(a(l(p, e[r][r]), x), l(y, e[n][n])), w = d(l(y, e[r][r]), x, l(p, e[n][n])), N = 0; N < o; N++)g[N] = a(l(s, e[r][N]), l(u, e[n][N])), v[N] = i(l(u, e[r][N]), l(s, e[n][N])); e[r][r] = b, e[n][n] = w, e[r][n] = m(0), e[n][r] = m(0); for (var M = 0; M < o; M++)M !== r && M !== n && (e[r][M] = g[M], e[M][r] = g[M], e[n][M] = v[M], e[M][n] = v[M]); return e } function M(e, t, r, n) { for (var i = e.length, a = Math.cos(t), o = Math.sin(t), s = a * a, u = o * o, c = O(i, 0), f = O(i, 0), l = s * e[r][r] - 2 * a * o * e[r][n] + u * e[n][n], p = u * e[r][r] + 2 * a * o * e[r][n] + s * e[n][n], m = 0; m < i; m++)c[m] = a * e[r][m] - o * e[n][m], f[m] = o * e[r][m] + a * e[n][m]; e[r][r] = l, e[n][n] = p, e[r][n] = 0, e[n][r] = 0; for (var h = 0; h < i; h++)h !== r && h !== n && (e[r][h] = c[h], e[h][r] = c[h], e[n][h] = f[h], e[h][n] = f[h]); return e } function S(e) { for (var t = e.length, r = 0, n = [0, 1], i = 0; i < t; i++)for (var a = i + 1; a < t; a++)Math.abs(r) < Math.abs(e[i][a]) && (r = Math.abs(e[i][a]), n = [i, a]); return [n, r] } function E(e) { for (var t = e.length, r = 0, n = [0, 1], i = 0; i < t; i++)for (var a = i + 1; a < t; a++)s(r) < s(e[i][a]) && (r = s(e[i][a]), n = [i, a]); return [n, r] } function A(e, t) { for (var r = e.length, n = Array(r), i = Array(r), a = 0; a < r; a++)i[a] = Array(r); for (var o = 0; o < r; o++) { for (var s = 0, u = e[0], c = 0; c < e.length; c++)e[c] < u && (u = e[s = c]); n[o] = e.splice(s, 1)[0]; for (var f = 0; f < r; f++)i[f][o] = t[f][s], t[f].splice(s, 1) } return [Fe(n), Fe(i)] } function O(e, t) { for (var r = new Array(e), n = 0; n < e; n++)r[n] = t; return r } })), Iu = Je("expm", ["typed", "abs", "add", "identity", "inv", "multiply"], (function (e) { var t = e.typed, r = e.abs, n = e.add, i = e.identity, a = e.inv, o = e.multiply; return t("expm", { Matrix: function (e) { var t = e.size(); if (2 !== t.length || t[0] !== t[1]) throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); for (var u = t[0], c = function (e, t) { for (var r = 0; r < 30; r++)for (var n = 0; n <= r; n++) { var i = r - n; if (s(e, n, i) < t) return { q: n, j: i } } throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)") }(function (e) { for (var t = e.size()[0], n = 0, i = 0; i < t; i++) { for (var a = 0, o = 0; o < t; o++)a += r(e.get([i, o])); n = Math.max(a, n) } return n }(e), 1e-15), f = c.q, l = c.j, p = o(e, Math.pow(2, -l)), m = i(u), h = i(u), y = 1, g = p, v = -1, x = 1; x <= f; x++)x > 1 && (g = o(g, p), v = -v), m = n(m, o(y = y * (f - x + 1) / ((2 * f - x + 1) * x), g)), h = n(h, o(y * v, g)); for (var b = o(a(h), m), w = 0; w < l; w++)b = o(b, b); return d(e) ? e.createSparseMatrix(b) : b } }); function s(e, t, r) { for (var n = 1, i = 2; i <= t; i++)n *= i; for (var a = n, o = t + 1; o <= 2 * t; o++)a *= o; var s = a * (2 * t + 1); return 8 * Math.pow(e / Math.pow(2, r), 2 * t) * n * n / (a * s) } })), Bu = Je("sqrtm", ["typed", "abs", "add", "multiply", "sqrt", "subtract", "inv", "size", "max", "identity"], (function (e) { var t = e.typed, r = e.abs, n = e.add, i = e.multiply, a = e.sqrt, o = e.subtract, s = e.inv, u = e.size, c = e.max, f = e.identity; function l(e) { var t, a = 0, l = e, p = f(u(e)); do { var m = l; if (l = i(.5, n(m, s(p))), p = i(.5, n(p, s(m))), (t = c(r(o(l, m)))) > 1e-6 && ++a > 1e3) throw new Error("computing square root of matrix: iterative method could not converge") } while (t > 1e-6); return l } return t("sqrtm", { "Array | Matrix": function (e) { var t = p(e) ? e.size() : Me(e); switch (t.length) { case 1: if (1 === t[0]) return a(e); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); case 2: if (t[0] === t[1]) return l(e); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); default: throw new RangeError("Matrix must be at most two dimensional (size: " + ge(t) + ")") } } }) })), Du = Je("divide", ["typed", "matrix", "multiply", "equalScalar", "divideScalar", "inv"], (function (e) { var t = e.typed, r = e.matrix, n = e.multiply, i = e.equalScalar, a = e.divideScalar, o = e.inv, s = Mr({ typed: t, equalScalar: i }), u = Sr({ typed: t }); return t("divide", He({ "Array | Matrix, Array | Matrix": function (e, t) { return n(e, o(t)) }, "DenseMatrix, any": function (e, t) { return u(e, t, a, !1) }, "SparseMatrix, any": function (e, t) { return s(e, t, a, !1) }, "Array, any": function (e, t) { return u(r(e), t, a, !1).valueOf() }, "any, Array | Matrix": function (e, t) { return n(e, o(t)) } }, a.signatures)) })), Ru = Je("distance", ["typed", "addScalar", "subtract", "divideScalar", "multiplyScalar", "unaryMinus", "sqrt", "abs"], (function (e) { var t = e.typed, r = e.addScalar, n = e.subtract, i = e.multiplyScalar, a = e.divideScalar, s = e.unaryMinus, u = e.sqrt, c = e.abs; return t("distance", { "Array, Array, Array": function (e, t, r) { if (2 === e.length && 2 === t.length && 2 === r.length) { if (!l(e)) throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); if (!l(t)) throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument"); if (!l(r)) throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument"); var o = a(n(r[1], r[0]), n(t[1], t[0])), u = i(i(o, o), t[0]), c = s(i(o, t[0])), f = e[1]; return y(e[0], e[1], u, c, f) } throw new TypeError("Invalid Arguments: Try again") }, "Object, Object, Object": function (e, t, r) { if (2 === Object.keys(e).length && 2 === Object.keys(t).length && 2 === Object.keys(r).length) { if (!l(e)) throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers"); if (!l(t)) throw new TypeError("Values of lineOnePtX and lineOnePtY should be numbers or BigNumbers"); if (!l(r)) throw new TypeError("Values of lineTwoPtX and lineTwoPtY should be numbers or BigNumbers"); if ("pointX" in e && "pointY" in e && "lineOnePtX" in t && "lineOnePtY" in t && "lineTwoPtX" in r && "lineTwoPtY" in r) { var o = a(n(r.lineTwoPtY, r.lineTwoPtX), n(t.lineOnePtY, t.lineOnePtX)), u = i(i(o, o), t.lineOnePtX), c = s(i(o, t.lineOnePtX)), f = e.pointX; return y(e.pointX, e.pointY, u, c, f) } throw new TypeError("Key names do not match") } throw new TypeError("Invalid Arguments: Try again") }, "Array, Array": function (e, t) { if (2 === e.length && 3 === t.length) { if (!l(e)) throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); if (!p(t)) throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); return y(e[0], e[1], t[0], t[1], t[2]) } if (3 === e.length && 6 === t.length) { if (!p(e)) throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); if (!h(t)) throw new TypeError("Array with 6 numbers or BigNumbers expected for second argument"); return g(e[0], e[1], e[2], t[0], t[1], t[2], t[3], t[4], t[5]) } if (e.length === t.length && e.length > 0) { if (!m(e)) throw new TypeError("All values of an array should be numbers or BigNumbers"); if (!m(t)) throw new TypeError("All values of an array should be numbers or BigNumbers"); return v(e, t) } throw new TypeError("Invalid Arguments: Try again") }, "Object, Object": function (e, t) { if (2 === Object.keys(e).length && 3 === Object.keys(t).length) { if (!l(e)) throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers"); if (!p(t)) throw new TypeError("Values of xCoeffLine, yCoeffLine and constant should be numbers or BigNumbers"); if ("pointX" in e && "pointY" in e && "xCoeffLine" in t && "yCoeffLine" in t && "constant" in t) return y(e.pointX, e.pointY, t.xCoeffLine, t.yCoeffLine, t.constant); throw new TypeError("Key names do not match") } if (3 === Object.keys(e).length && 6 === Object.keys(t).length) { if (!p(e)) throw new TypeError("Values of pointX, pointY and pointZ should be numbers or BigNumbers"); if (!h(t)) throw new TypeError("Values of x0, y0, z0, a, b and c should be numbers or BigNumbers"); if ("pointX" in e && "pointY" in e && "x0" in t && "y0" in t && "z0" in t && "a" in t && "b" in t && "c" in t) return g(e.pointX, e.pointY, e.pointZ, t.x0, t.y0, t.z0, t.a, t.b, t.c); throw new TypeError("Key names do not match") } if (2 === Object.keys(e).length && 2 === Object.keys(t).length) { if (!l(e)) throw new TypeError("Values of pointOneX and pointOneY should be numbers or BigNumbers"); if (!l(t)) throw new TypeError("Values of pointTwoX and pointTwoY should be numbers or BigNumbers"); if ("pointOneX" in e && "pointOneY" in e && "pointTwoX" in t && "pointTwoY" in t) return v([e.pointOneX, e.pointOneY], [t.pointTwoX, t.pointTwoY]); throw new TypeError("Key names do not match") } if (3 === Object.keys(e).length && 3 === Object.keys(t).length) { if (!p(e)) throw new TypeError("Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers"); if (!p(t)) throw new TypeError("Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers"); if ("pointOneX" in e && "pointOneY" in e && "pointOneZ" in e && "pointTwoX" in t && "pointTwoY" in t && "pointTwoZ" in t) return v([e.pointOneX, e.pointOneY, e.pointOneZ], [t.pointTwoX, t.pointTwoY, t.pointTwoZ]); throw new TypeError("Key names do not match") } throw new TypeError("Invalid Arguments: Try again") }, Array: function (e) { if (!function (e) { if (2 === e[0].length && f(e[0][0]) && f(e[0][1])) { if (e.some((function (e) { return 2 !== e.length || !f(e[0]) || !f(e[1]) }))) return !1 } else { if (!(3 === e[0].length && f(e[0][0]) && f(e[0][1]) && f(e[0][2]))) return !1; if (e.some((function (e) { return 3 !== e.length || !f(e[0]) || !f(e[1]) || !f(e[2]) }))) return !1 } return !0 }(e)) throw new TypeError("Incorrect array format entered for pairwise distance calculation"); return function (e) { for (var t = [], r = [], n = [], i = 0; i < e.length - 1; i++)for (var a = i + 1; a < e.length; a++)2 === e[0].length ? (r = [e[i][0], e[i][1]], n = [e[a][0], e[a][1]]) : 3 === e[0].length && (r = [e[i][0], e[i][1], e[i][2]], n = [e[a][0], e[a][1], e[a][2]]), t.push(v(r, n)); return t }(e) } }); function f(e) { return "number" == typeof e || o(e) } function l(e) { return e.constructor !== Array && (e = d(e)), f(e[0]) && f(e[1]) } function p(e) { return e.constructor !== Array && (e = d(e)), f(e[0]) && f(e[1]) && f(e[2]) } function m(e) { return Array.isArray(e) || (e = d(e)), e.every(f) } function h(e) { return e.constructor !== Array && (e = d(e)), f(e[0]) && f(e[1]) && f(e[2]) && f(e[3]) && f(e[4]) && f(e[5]) } function d(e) { for (var t = Object.keys(e), r = [], n = 0; n < t.length; n++)r.push(e[t[n]]); return r } function y(e, t, n, o, s) { var f = c(r(r(i(n, e), i(o, t)), s)), l = u(r(i(n, n), i(o, o))); return a(f, l) } function g(e, t, o, s, c, f, l, p, m) { var h = [n(i(n(c, t), m), i(n(f, o), p)), n(i(n(f, o), l), i(n(s, e), m)), n(i(n(s, e), p), i(n(c, t), l))]; h = u(r(r(i(h[0], h[0]), i(h[1], h[1])), i(h[2], h[2]))); var d = u(r(r(i(l, l), i(p, p)), i(m, m))); return a(h, d) } function v(e, t) { for (var a = e.length, o = 0, s = 0, c = 0; c < a; c++)s = n(e[c], t[c]), o = r(i(s, s), o); return u(o) } })), ju = Je("intersect", ["typed", "config", "abs", "add", "addScalar", "matrix", "multiply", "multiplyScalar", "divideScalar", "subtract", "smaller", "equalScalar"], (function (e) { var t = e.typed, r = e.config, n = e.abs, i = e.add, a = e.addScalar, s = e.matrix, u = e.multiply, c = e.multiplyScalar, f = e.divideScalar, l = e.subtract, p = e.smaller, m = e.equalScalar; return t("intersect", { "Array, Array, Array": function (e, t, r) { if (!y(e)) throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); if (!y(t)) throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); if (!function (e) { return 4 === e.length && h(e[0]) && h(e[1]) && h(e[2]) && h(e[3]) }(r)) throw new TypeError("Array with 4 numbers expected as third argument"); return function (e, t, r, n, i, o, s, u, p, m) { var h = c(e, s), d = c(n, s), y = c(t, u), g = c(i, u), v = c(r, p), x = c(o, p), b = f(l(l(l(m, h), y), v), l(l(l(a(a(d, g), x), h), y), v)), w = a(e, c(b, l(n, e))), N = a(t, c(b, l(i, t))), M = a(r, c(b, l(o, r))); return [w, N, M] }(e[0], e[1], e[2], t[0], t[1], t[2], r[0], r[1], r[2], r[3]) }, "Array, Array, Array, Array": function (e, t, o, s) { if (2 === e.length) { if (!d(e)) throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); if (!d(t)) throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument"); if (!d(o)) throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument"); if (!d(s)) throw new TypeError("Array with 2 numbers or BigNumbers expected for fourth argument"); return function (e, t, o, s) { var m = e, h = o, d = l(m, t), y = l(h, s), g = l(c(d[0], y[1]), c(y[0], d[1])); if (p(n(g), r.epsilon)) return null; var v = c(y[0], m[1]), x = c(y[1], m[0]), b = c(y[0], h[1]), w = c(y[1], h[0]), N = f(a(l(l(v, x), b), w), g); return i(u(d, N), m) }(e, t, o, s) } if (3 === e.length) { if (!y(e)) throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); if (!y(t)) throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); if (!y(o)) throw new TypeError("Array with 3 numbers or BigNumbers expected for third argument"); if (!y(s)) throw new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument"); return h = e[0], v = e[1], x = e[2], b = t[0], w = t[1], N = t[2], M = o[0], S = o[1], E = o[2], A = s[0], O = s[1], C = s[2], _ = g(h, M, A, M, v, S, O, S, x, E, C, E), T = g(A, M, b, h, O, S, w, v, C, E, N, x), q = g(h, M, b, h, v, S, w, v, x, E, N, x), z = g(A, M, A, M, O, S, O, S, C, E, C, E), k = g(b, h, b, h, w, v, w, v, N, x, N, x), I = f(l(c(_, T), c(q, z)), l(c(k, z), c(T, T))), B = f(a(_, c(I, T)), z), D = a(h, c(I, l(b, h))), R = a(v, c(I, l(w, v))), j = a(x, c(I, l(N, x))), P = a(M, c(B, l(A, M))), U = a(S, c(B, l(O, S))), F = a(E, c(B, l(C, E))), m(D, P) && m(R, U) && m(j, F) ? [D, R, j] : null } throw new TypeError("Arrays with two or thee dimensional points expected"); var h, v, x, b, w, N, M, S, E, A, O, C, _, T, q, z, k, I, B, D, R, j, P, U, F }, "Matrix, Matrix, Matrix": function (e, t, r) { return s(this(e.valueOf(), t.valueOf(), r.valueOf())) }, "Matrix, Matrix, Matrix, Matrix": function (e, t, r, n) { return s(this(e.valueOf(), t.valueOf(), r.valueOf(), n.valueOf())) } }); function h(e) { return "number" == typeof e || o(e) } function d(e) { return 2 === e.length && h(e[0]) && h(e[1]) } function y(e) { return 3 === e.length && h(e[0]) && h(e[1]) && h(e[2]) } function g(e, t, r, n, i, o, s, u, f, p, m, h) { var d = c(l(e, t), l(r, n)), y = c(l(i, o), l(s, u)), g = c(l(f, p), l(m, h)); return a(a(d, y), g) } })), Pu = Je("sum", ["typed", "config", "add", "numeric"], (function (e) { var t = e.typed, r = e.config, n = e.add, i = e.numeric; return t("sum", { "Array | Matrix": a, "Array | Matrix, number | BigNumber": function (e, t) { try { return wt(e, t, n) } catch (e) { throw Ui(e, "sum") } }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function sum"); return a(e) } }); function a(e) { var t; return xt(e, (function (e) { try { t = void 0 === t ? e : n(t, e) } catch (t) { throw Ui(t, "sum", e) } })), void 0 === t && (t = i(0, r.number)), "string" == typeof t && (t = i(t, r.number)), t } })), Uu = Je("mean", ["typed", "add", "divide"], (function (e) { var t = e.typed, r = e.add, n = e.divide; return t("mean", { "Array | Matrix": i, "Array | Matrix, number | BigNumber": function (e, t) { try { var i = wt(e, t, r), a = Array.isArray(e) ? Me(e) : e.size(); return n(i, a[t]) } catch (e) { throw Ui(e, "mean") } }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function mean"); return i(e) } }); function i(e) { var t, i = 0; if (xt(e, (function (e) { try { t = void 0 === t ? e : r(t, e), i++ } catch (t) { throw Ui(t, "mean", e) } })), 0 === i) throw new Error("Cannot calculate the mean of an empty array"); return n(t, i) } })), Fu = Je("median", ["typed", "add", "divide", "compare", "partitionSelect"], (function (e) { var t = e.typed, r = e.add, n = e.divide, i = e.compare, a = e.partitionSelect; function o(e) { try { var t = (e = Te(e.valueOf())).length; if (0 === t) throw new Error("Cannot calculate median of an empty array"); if (t % 2 == 0) { for (var r = t / 2 - 1, n = a(e, r + 1), o = e[r], c = 0; c < r; ++c)i(e[c], o) > 0 && (o = e[c]); return u(o, n) } var f = a(e, (t - 1) / 2); return s(f) } catch (e) { throw Ui(e, "median") } } var s = t({ "number | BigNumber | Complex | Unit": function (e) { return e } }), u = t({ "number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit": function (e, t) { return n(r(e, t), 2) } }); return t("median", { "Array | Matrix": o, "Array | Matrix, number | BigNumber": function (e, t) { throw new Error("median(A, dim) is not yet supported") }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function median"); return o(e) } }) })), Lu = Je("mad", ["typed", "abs", "map", "median", "subtract"], (function (e) { var t = e.typed, r = e.abs, n = e.map, i = e.median, a = e.subtract; return t("mad", { "Array | Matrix": o, "...": function (e) { return o(e) } }); function o(e) { if (0 === (e = Te(e.valueOf())).length) throw new Error("Cannot calculate median absolute deviation (mad) of an empty array"); try { var t = i(e); return i(n(e, (function (e) { return r(a(e, t)) }))) } catch (e) { throw e instanceof TypeError && -1 !== e.message.indexOf("median") ? new TypeError(e.message.replace("median", "mad")) : Ui(e, "mad") } } })), Hu = Je("variance", ["typed", "add", "subtract", "multiply", "divide", "apply", "isNaN"], (function (e) { var t = e.typed, r = e.add, n = e.subtract, i = e.multiply, a = e.divide, s = e.apply, u = e.isNaN; return t("variance", { "Array | Matrix": function (e) { return c(e, "unbiased") }, "Array | Matrix, string": c, "Array | Matrix, number | BigNumber": function (e, t) { return f(e, t, "unbiased") }, "Array | Matrix, number | BigNumber, string": f, "...": function (e) { return c(e, "unbiased") } }); function c(e, t) { var s, c = 0; if (0 === e.length) throw new SyntaxError("Function variance requires one or more parameters (0 provided)"); if (xt(e, (function (e) { try { s = void 0 === s ? e : r(s, e), c++ } catch (t) { throw Ui(t, "variance", e) } })), 0 === c) throw new Error("Cannot calculate variance of an empty array"); var f = a(s, c); if (s = void 0, xt(e, (function (e) { var t = n(e, f); s = void 0 === s ? i(t, t) : r(s, i(t, t)) })), u(s)) return s; switch (t) { case "uncorrected": return a(s, c); case "biased": return a(s, c + 1); case "unbiased": var l = o(s) ? s.mul(0) : 0; return 1 === c ? l : a(s, c - 1); default: throw new Error('Unknown normalization "' + t + '". Choose "unbiased" (default), "uncorrected", or "biased".') } } function f(e, t, r) { try { if (0 === e.length) throw new SyntaxError("Function variance requires one or more parameters (0 provided)"); return s(e, t, (function (e) { return c(e, r) })) } catch (e) { throw Ui(e, "variance") } } })), $u = Je("quantileSeq", ["typed", "add", "multiply", "partitionSelect", "compare"], (function (e) { var t = e.typed, r = e.add, n = e.multiply, i = e.partitionSelect, s = e.compare; function u(e, t, o) { var u = Te(e), f = u.length; if (0 === f) throw new Error("Cannot calculate quantile of an empty sequence"); if (a(t)) { var l = t * (f - 1), p = l % 1; if (0 === p) { var m = o ? u[l] : i(u, l); return c(m), m } var h, d, y = Math.floor(l); if (o) h = u[y], d = u[y + 1]; else { d = i(u, y + 1), h = u[y]; for (var g = 0; g < y; ++g)s(u[g], h) > 0 && (h = u[g]) } return c(h), c(d), r(n(h, 1 - p), n(d, p)) } var v = t.times(f - 1); if (v.isInteger()) { v = v.toNumber(); var x = o ? u[v] : i(u, v); return c(x), x } var b, w, N = v.floor(), M = v.minus(N), S = N.toNumber(); if (o) b = u[S], w = u[S + 1]; else { w = i(u, S + 1), b = u[S]; for (var E = 0; E < S; ++E)s(u[E], b) > 0 && (b = u[E]) } c(b), c(w); var A = new M.constructor(1); return r(n(b, A.minus(M)), n(w, M)) } var c = t({ "number | BigNumber | Unit": function (e) { return e } }); return function (e, t, r) { var n, i, s; if (arguments.length < 2 || arguments.length > 3) throw new SyntaxError("Function quantileSeq requires two or three parameters"); if (m(e)) { if ("boolean" == typeof (r = r || !1)) { if (i = e.valueOf(), a(t)) { if (t < 0) throw new Error("N/prob must be non-negative"); if (t <= 1) return u(i, t, r); if (t > 1) { if (!V(t)) throw new Error("N must be a positive integer"); var c = t + 1; n = new Array(t); for (var f = 0; f < t;)n[f] = u(i, ++f / c, r); return n } } if (o(t)) { var l = t.constructor; if (t.isNegative()) throw new Error("N/prob must be non-negative"); if (s = new l(1), t.lte(s)) return new l(u(i, t, r)); if (t.gt(s)) { if (!t.isInteger()) throw new Error("N must be a positive integer"); var p = t.toNumber(); if (p > 4294967295) throw new Error("N must be less than or equal to 2^32-1, as that is the maximum length of an Array"); var h = new l(p + 1); n = new Array(p); for (var d = 0; d < p;)n[d] = new l(u(i, new l(++d).div(h), r)); return n } } if (Array.isArray(t)) { n = new Array(t.length); for (var y = 0; y < n.length; ++y) { var g = t[y]; if (a(g)) { if (g < 0 || g > 1) throw new Error("Probability must be between 0 and 1, inclusive") } else { if (!o(g)) throw new TypeError("Unexpected type of argument in function quantileSeq"); if (s = new g.constructor(1), g.isNegative() || g.gt(s)) throw new Error("Probability must be between 0 and 1, inclusive") } n[y] = u(i, g, r) } return n } throw new TypeError("Unexpected type of argument in function quantileSeq") } throw new TypeError("Unexpected type of argument in function quantileSeq") } throw new TypeError("Unexpected type of argument in function quantileSeq") } })), Gu = Je("std", ["typed", "sqrt", "variance"], (function (e) { var t = e.typed, r = e.sqrt, n = e.variance; return t("std", { "Array | Matrix": i, "Array | Matrix, string": i, "Array | Matrix, number | BigNumber": i, "Array | Matrix, number | BigNumber, string": i, "...": function (e) { return i(e) } }); function i(e, t) { if (0 === e.length) throw new SyntaxError("Function std requires one or more parameters (0 provided)"); try { return r(n.apply(null, arguments)) } catch (e) { throw e instanceof TypeError && -1 !== e.message.indexOf(" variance") ? new TypeError(e.message.replace(" variance", " std")) : e } } })); function Vu(e, t) { if (t < e) return 1; if (t === e) return t; var r = t + e >> 1; return Vu(e, r) * Vu(r + 1, t) } function Zu(e, t) { if (!V(e) || e < 0) throw new TypeError("Positive integer value expected in function combinations"); if (!V(t) || t < 0) throw new TypeError("Positive integer value expected in function combinations"); if (t > e) throw new TypeError("k must be less than or equal to n"); var r = e - t; return t < r ? Vu(r + 1, e) / Vu(1, t) : Vu(t + 1, e) / Vu(1, r) } Zu.signature = "number, number"; var Wu = Je("combinations", ["typed"], (function (e) { return (0, e.typed)("combinations", { "number, number": Zu, "BigNumber, BigNumber": function (e, t) { var r, n, i = e.constructor, a = e.minus(t), o = new i(1); if (!Ju(e) || !Ju(t)) throw new TypeError("Positive integer value expected in function combinations"); if (t.gt(e)) throw new TypeError("k must be less than n in function combinations"); if (r = o, t.lt(a)) for (n = o; n.lte(a); n = n.plus(o))r = r.times(t.plus(n)).dividedBy(n); else for (n = o; n.lte(t); n = n.plus(o))r = r.times(a.plus(n)).dividedBy(n); return r } }) })); function Ju(e) { return e.isInteger() && e.gte(0) } var Yu = Je("combinationsWithRep", ["typed"], (function (e) { return (0, e.typed)("combinationsWithRep", { "number, number": function (e, t) { if (!V(e) || e < 0) throw new TypeError("Positive integer value expected in function combinationsWithRep"); if (!V(t) || t < 0) throw new TypeError("Positive integer value expected in function combinationsWithRep"); if (e < 1) throw new TypeError("k must be less than or equal to n + k - 1"); return t < e - 1 ? Vu(e, e + t - 1) / Vu(1, t) : Vu(t + 1, e + t - 1) / Vu(1, e - 1) }, "BigNumber, BigNumber": function (e, t) { var r, n, i = new (0, e.constructor)(1), a = e.minus(i); if (!Xu(e) || !Xu(t)) throw new TypeError("Positive integer value expected in function combinationsWithRep"); if (e.lt(i)) throw new TypeError("k must be less than or equal to n + k - 1 in function combinationsWithRep"); if (r = i, t.lt(a)) for (n = i; n.lte(a); n = n.plus(i))r = r.times(t.plus(n)).dividedBy(n); else for (n = i; n.lte(t); n = n.plus(i))r = r.times(a.plus(n)).dividedBy(n); return r } }) })); function Xu(e) { return e.isInteger() && e.gte(0) } function Qu(e) { var t; if (V(e)) return e <= 0 ? isFinite(e) ? 1 / 0 : NaN : e > 171 ? 1 / 0 : Vu(1, e - 1); if (e < .5) return Math.PI / (Math.sin(Math.PI * e) * Qu(1 - e)); if (e >= 171.35) return 1 / 0; if (e > 85) { var r = e * e, n = r * e, i = n * e, a = i * e; return Math.sqrt(2 * Math.PI / e) * Math.pow(e / Math.E, e) * (1 + 1 / (12 * e) + 1 / (288 * r) - 139 / (51840 * n) - 571 / (2488320 * i) + 163879 / (209018880 * a) + 5246819 / (75246796800 * a * e)) } --e, t = ec[0]; for (var o = 1; o < ec.length; ++o)t += ec[o] / (e + o); var s = e + Ku + .5; return Math.sqrt(2 * Math.PI) * Math.pow(s, e + .5) * Math.exp(-s) * t } Qu.signature = "number"; var Ku = 4.7421875, ec = [.9999999999999971, 57.15623566586292, -59.59796035547549, 14.136097974741746, -.4919138160976202, 3399464998481189e-20, 4652362892704858e-20, -9837447530487956e-20, .0001580887032249125, -.00021026444172410488, .00021743961811521265, -.0001643181065367639, 8441822398385275e-20, -26190838401581408e-21, 36899182659531625e-22], tc = Je("gamma", ["typed", "config", "multiplyScalar", "pow", "BigNumber", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.multiplyScalar, i = e.pow, a = e.BigNumber, o = e.Complex; return t("gamma", { number: Qu, Complex: function (e) { if (0 === e.im) return this(e.re); e = new o(e.re - 1, e.im); for (var t = new o(ec[0], 0), r = 1; r < ec.length; ++r) { var a = e.re + r, s = a * a + e.im * e.im; 0 !== s ? (t.re += ec[r] * a / s, t.im += -ec[r] * e.im / s) : t.re = ec[r] < 0 ? -1 / 0 : 1 / 0 } var u = new o(e.re + Ku + .5, e.im), c = Math.sqrt(2 * Math.PI); e.re += .5; var f = i(u, e); 0 === f.im ? f.re *= c : (0 === f.re || (f.re *= c), f.im *= c); var l = Math.exp(-u.re); return u.re = l * Math.cos(-u.im), u.im = l * Math.sin(-u.im), n(n(f, u), t) }, BigNumber: function (e) { if (e.isInteger()) return e.isNegative() || e.isZero() ? new a(1 / 0) : function e(t) { if (t < 8) return new a([1, 1, 2, 6, 24, 120, 720, 5040][t]); var n = r.precision + (0 | Math.log(t.toNumber())), i = a.clone({ precision: n }); if (t % 2 == 1) return t.times(e(new a(t - 1))); var o = t, s = new i(t), u = t.toNumber(); for (; o > 2;)u += o -= 2, s = s.times(u); return new a(s.toPrecision(a.precision)) }(e.minus(1)); if (!e.isFinite()) return new a(e.isNegative() ? NaN : 1 / 0); throw new Error("Integer BigNumber expected") }, "Array | Matrix": function (e) { return bt(e, this) } }) })), rc = Je("factorial", ["typed", "gamma"], (function (e) { var t = e.typed, r = e.gamma; return t("factorial", { number: function (e) { if (e < 0) throw new Error("Value must be non-negative"); return r(e + 1) }, BigNumber: function (e) { if (e.isNegative()) throw new Error("Value must be non-negative"); return r(e.plus(1)) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), nc = Je("kldivergence", ["typed", "matrix", "divide", "sum", "multiply", "dotDivide", "log", "isNumeric"], (function (e) { var t = e.typed, r = e.matrix, n = e.divide, i = e.sum, a = e.multiply, o = e.dotDivide, s = e.log, u = e.isNumeric; return t("kldivergence", { "Array, Array": function (e, t) { return c(r(e), r(t)) }, "Matrix, Array": function (e, t) { return c(e, r(t)) }, "Array, Matrix": function (e, t) { return c(r(e), t) }, "Matrix, Matrix": function (e, t) { return c(e, t) } }); function c(e, t) { var r = t.size().length, c = e.size().length; if (r > 1) throw new Error("first object must be one dimensional"); if (c > 1) throw new Error("second object must be one dimensional"); if (r !== c) throw new Error("Length of two vectors must be equal"); if (0 === i(e)) throw new Error("Sum of elements in first object must be non zero"); if (0 === i(t)) throw new Error("Sum of elements in second object must be non zero"); var f = n(e, i(e)), l = n(t, i(t)), p = i(a(f, s(o(f, l)))); return u(p) ? p : Number.NaN } })), ic = Je("multinomial", ["typed", "add", "divide", "multiply", "factorial", "isInteger", "isPositive"], (function (e) { var t = e.typed, r = e.add, n = e.divide, i = e.multiply, a = e.factorial, o = e.isInteger, s = e.isPositive; return t("multinomial", { "Array | Matrix": function (e) { var t = 0, u = 1; return xt(e, (function (e) { if (!o(e) || !s(e)) throw new TypeError("Positive integer value expected in function multinomial"); t = r(t, e), u = i(u, a(e)) })), n(a(t), u) } }) })), ac = Je("permutations", ["typed", "factorial"], (function (e) { return (0, e.typed)("permutations", { "number | BigNumber": e.factorial, "number, number": function (e, t) { if (!V(e) || e < 0) throw new TypeError("Positive integer value expected in function permutations"); if (!V(t) || t < 0) throw new TypeError("Positive integer value expected in function permutations"); if (t > e) throw new TypeError("second argument k must be less than or equal to first argument n"); return Vu(e - t + 1, e) }, "BigNumber, BigNumber": function (e, t) { var r, n; if (!oc(e) || !oc(t)) throw new TypeError("Positive integer value expected in function permutations"); if (t.gt(e)) throw new TypeError("second argument k must be less than or equal to first argument n"); for (r = e.mul(0).add(1), n = e.minus(t).plus(1); n.lte(e); n = n.plus(1))r = r.times(n); return r } }) })); function oc(e) { return e.isInteger() && e.gte(0) } var sc = r(9), uc = r.n(sc), cc = uc()(Date.now()); function fc(e) { var t, r; return t = null === (r = e) ? cc : uc()(String(r)), function () { return t() } } var lc = Je("pickRandom", ["typed", "config", "?on"], (function (e) { var t = e.typed, r = e.config, n = e.on, i = fc(r.randomSeed); return n && n("config", (function (e, t) { e.randomSeed !== t.randomSeed && (i = fc(e.randomSeed)) })), t({ "Array | Matrix": function (e) { return o(e, {}) }, "Array | Matrix, Object": function (e, t) { return o(e, t) }, "Array | Matrix, number": function (e, t) { return o(e, { number: t }) }, "Array | Matrix, Array | Matrix": function (e, t) { return o(e, { weights: t }) }, "Array | Matrix, Array | Matrix, number": function (e, t, r) { return o(e, { number: r, weights: t }) }, "Array | Matrix, number, Array | Matrix": function (e, t, r) { return o(e, { number: t, weights: r }) } }); function o(e, t) { var r = t.number, n = t.weights, o = t.elementWise, s = void 0 === o || o, u = void 0 === r; u && (r = 1); var c = p(e) ? e.create : p(n) ? n.create : null; e = e.valueOf(), n && (n = n.valueOf()), !0 === s && (e = Te(e), n = Te(n)); var f = 0; if (void 0 !== n) { if (n.length !== e.length) throw new Error("Weights must have the same length as possibles"); for (var l = 0, m = n.length; l < m; l++) { if (!a(n[l]) || n[l] < 0) throw new Error("Weights must be an array of positive numbers"); f += n[l] } } for (var h, d = e.length, y = []; y.length < r;) { if (void 0 === n) h = e[Math.floor(i() * d)]; else for (var g = i() * f, v = 0, x = e.length; v < x; v++)if ((g -= n[v]) < 0) { h = e[v]; break } y.push(h) } return u ? y[0] : c ? c(y) : y } })); function pc(e, t) { var r = []; if ((e = e.slice(0)).length > 1) for (var n = 0, i = e.shift(); n < i; n++)r.push(pc(e, t)); else for (var a = 0, o = e.shift(); a < o; a++)r.push(t()); return r } var mc = Je("random", ["typed", "config", "?on"], (function (e) { var t = e.typed, r = e.config, n = e.on, i = fc(r.randomSeed); return n && n("config", (function (e, t) { e.randomSeed !== t.randomSeed && (i = fc(e.randomSeed)) })), t("random", { "": function () { return o(0, 1) }, number: function (e) { return o(0, e) }, "number, number": function (e, t) { return o(e, t) }, "Array | Matrix": function (e) { return a(e, 0, 1) }, "Array | Matrix, number": function (e, t) { return a(e, 0, t) }, "Array | Matrix, number, number": function (e, t, r) { return a(e, t, r) } }); function a(e, t, r) { var n = pc(e.valueOf(), (function () { return o(t, r) })); return p(e) ? e.create(n) : n } function o(e, t) { return e + i() * (t - e) } })), hc = Je("randomInt", ["typed", "config", "?on"], (function (e) { var t = e.typed, r = e.config, n = e.on, i = fc(r.randomSeed); return n && n("config", (function (e, t) { e.randomSeed !== t.randomSeed && (i = fc(e.randomSeed)) })), t("randomInt", { "": function () { return o(0, 1) }, number: function (e) { return o(0, e) }, "number, number": function (e, t) { return o(e, t) }, "Array | Matrix": function (e) { return a(e, 0, 1) }, "Array | Matrix, number": function (e, t) { return a(e, 0, t) }, "Array | Matrix, number, number": function (e, t, r) { return a(e, t, r) } }); function a(e, t, r) { var n = pc(e.valueOf(), (function () { return o(t, r) })); return p(e) ? e.create(n) : n } function o(e, t) { return Math.floor(e + i() * (t - e)) } })), dc = Je("stirlingS2", ["typed", "addScalar", "subtract", "multiplyScalar", "divideScalar", "pow", "factorial", "combinations", "isNegative", "isInteger", "larger"], (function (e) { var t = e.typed, r = e.addScalar, n = e.subtract, i = e.multiplyScalar, a = e.divideScalar, o = e.pow, s = e.factorial, u = e.combinations, c = e.isNegative, f = e.isInteger, l = e.larger; return t("stirlingS2", { "number | BigNumber, number | BigNumber": function (e, t) { if (!f(e) || c(e) || !f(t) || c(t)) throw new TypeError("Non-negative integer value expected in function stirlingS2"); if (l(t, e)) throw new TypeError("k must be less than or equal to n in function stirlingS2"); for (var p = s(t), m = 0, h = 0; h <= t; h++) { var d = o(-1, n(t, h)), y = u(t, h), g = o(h, e); m = r(m, i(i(y, g), d)) } return a(m, p) } }) })), yc = Je("bellNumbers", ["typed", "addScalar", "isNegative", "isInteger", "stirlingS2"], (function (e) { var t = e.typed, r = e.addScalar, n = e.isNegative, i = e.isInteger, a = e.stirlingS2; return t("bellNumbers", { "number | BigNumber": function (e) { if (!i(e) || n(e)) throw new TypeError("Non-negative integer value expected in function bellNumbers"); for (var t = 0, o = 0; o <= e; o++)t = r(t, a(e, o)); return t } }) })), gc = Je("catalan", ["typed", "addScalar", "divideScalar", "multiplyScalar", "combinations", "isNegative", "isInteger"], (function (e) { var t = e.typed, r = e.addScalar, n = e.divideScalar, i = e.multiplyScalar, a = e.combinations, o = e.isNegative, s = e.isInteger; return t("catalan", { "number | BigNumber": function (e) { if (!s(e) || o(e)) throw new TypeError("Non-negative integer value expected in function catalan"); return n(a(i(e, 2), e), r(e, 1)) } }) })), vc = Je("composition", ["typed", "addScalar", "combinations", "isNegative", "isPositive", "isInteger", "larger"], (function (e) { var t = e.typed, r = e.addScalar, n = e.combinations, i = e.isPositive, a = (e.isNegative, e.isInteger), o = e.larger; return t("composition", { "number | BigNumber, number | BigNumber": function (e, t) { if (!(a(e) && i(e) && a(t) && i(t))) throw new TypeError("Positive integer value expected in function composition"); if (o(t, e)) throw new TypeError("k must be less than or equal to n in function composition"); return n(r(e, -1), r(t, -1)) } }) })), xc = Je("simplifyUtil", ["FunctionNode", "OperatorNode", "SymbolNode"], (function (e) { var t = e.FunctionNode, r = e.OperatorNode, n = e.SymbolNode, i = { add: !0, multiply: !0 }, a = { add: !0, multiply: !0 }; function o(e, t) { if (!j(e)) return !1; var r = e.fn.toString(); return t && Ze(t, r) && Ze(t[r], "associative") ? t[r].associative : a[r] || !1 } function s(e) { var t, r = []; return o(e) ? (t = e.op, function e(n) { for (var i = 0; i < n.args.length; i++) { var a = n.args[i]; j(a) && t === a.op ? e(a) : r.push(a) } }(e), r) : e.args } function u(e) { return j(e) ? function (t) { try { return new r(e.op, e.fn, t, e.implicit) } catch (e) { return console.error(e), [] } } : function (r) { return new t(new n(e.name), r) } } return { createMakeNodeFunction: u, isCommutative: function (e, t) { if (!j(e)) return !0; var r = e.fn.toString(); return t && Ze(t, r) && Ze(t[r], "commutative") ? t[r].commutative : i[r] || !1 }, isAssociative: o, flatten: function e(t) { if (!t.args || 0 === t.args.length) return t; t.args = s(t); for (var r = 0; r < t.args.length; r++)e(t.args[r]) }, allChildren: s, unflattenr: function e(t) { if (t.args && 0 !== t.args.length) { for (var r = u(t), n = t.args.length, i = 0; i < n; i++)e(t.args[i]); if (n > 2 && o(t)) { for (var a = t.args.pop(); t.args.length > 0;)a = r([t.args.pop(), a]); t.args = a.args } } }, unflattenl: function e(t) { if (t.args && 0 !== t.args.length) { for (var r = u(t), n = t.args.length, i = 0; i < n; i++)e(t.args[i]); if (n > 2 && o(t)) { for (var a = t.args.shift(); t.args.length > 0;)a = r([a, t.args.shift()]); t.args = a.args } } } } })), bc = Je("simplifyCore", ["equal", "isZero", "add", "subtract", "multiply", "divide", "pow", "ConstantNode", "OperatorNode", "FunctionNode", "ParenthesisNode"], (function (e) { var t = e.equal, r = e.isZero, n = e.add, i = e.subtract, a = e.multiply, o = e.divide, s = e.pow, u = e.ConstantNode, c = e.OperatorNode, f = e.FunctionNode, l = e.ParenthesisNode, p = new u(0), m = new u(1); return function e(h) { if (j(h) && h.isUnary()) { var d = e(h.args[0]); if ("+" === h.op) return d; if ("-" === h.op) { if (j(d)) { if (d.isUnary() && "-" === d.op) return d.args[0]; if (d.isBinary() && "subtract" === d.fn) return new c("-", "subtract", [d.args[1], d.args[0]]) } return new c(h.op, h.fn, [d]) } } else if (j(h) && h.isBinary()) { var y = e(h.args[0]), g = e(h.args[1]); if ("+" === h.op) { if (z(y)) { if (r(y.value)) return g; if (z(g)) return new u(n(y.value, g.value)) } return z(g) && r(g.value) ? y : j(g) && g.isUnary() && "-" === g.op ? new c("-", "subtract", [y, g.args[0]]) : new c(h.op, h.fn, g ? [y, g] : [y]) } if ("-" === h.op) { if (z(y) && g) { if (z(g)) return new u(i(y.value, g.value)); if (r(y.value)) return new c("-", "unaryMinus", [g]) } if ("subtract" === h.fn) return z(g) && r(g.value) ? y : j(g) && g.isUnary() && "-" === g.op ? e(new c("+", "add", [y, g.args[0]])) : new c(h.op, h.fn, [y, g]) } else { if ("*" === h.op) { if (z(y)) { if (r(y.value)) return p; if (t(y.value, 1)) return g; if (z(g)) return new u(a(y.value, g.value)) } if (z(g)) { if (r(g.value)) return p; if (t(g.value, 1)) return y; if (j(y) && y.isBinary() && y.op === h.op) { var v = y.args[0]; if (z(v)) { var x = new u(a(v.value, g.value)); return new c(h.op, h.fn, [x, y.args[1]], h.implicit) } } return new c(h.op, h.fn, [g, y], h.implicit) } return new c(h.op, h.fn, [y, g], h.implicit) } if ("/" === h.op) { if (z(y)) { if (r(y.value)) return p; if (z(g) && (t(g.value, 1) || t(g.value, 2) || t(g.value, 4))) return new u(o(y.value, g.value)) } return new c(h.op, h.fn, [y, g]) } if ("^" === h.op) { if (z(g)) { if (r(g.value)) return m; if (t(g.value, 1)) return y; if (z(y)) return new u(s(y.value, g.value)); if (j(y) && y.isBinary() && "^" === y.op) { var b = y.args[1]; if (z(b)) return new c(h.op, h.fn, [y.args[0], new u(a(b.value, g.value))]) } } return new c(h.op, h.fn, [y, g]) } } } else { if (P(h)) { var w = e(h.content); return P(w) || F(w) || z(w) ? w : new l(w) } if (I(h)) { var N = h.args.map(e).map((function (e) { return P(e) ? e.content : e })); return new f(e(h.fn), N) } } return h } })), wc = Je("simplifyConstant", ["typed", "config", "mathWithTransform", "?fraction", "?bignumber", "ConstantNode", "OperatorNode", "FunctionNode", "SymbolNode"], (function (e) { var t = e.typed, r = e.config, n = e.mathWithTransform, i = e.fraction, a = e.bignumber, o = e.ConstantNode, s = e.OperatorNode, c = e.FunctionNode, f = e.SymbolNode, l = xc({ FunctionNode: c, OperatorNode: s, SymbolNode: f }), p = l.isCommutative, m = l.isAssociative, h = l.allChildren, d = l.createMakeNodeFunction; function y(e, t, r) { try { return x(n[e].apply(null, t), r) } catch (i) { return t = t.map((function (e) { return u(e) ? e.valueOf() : e })), x(n[e].apply(null, t), r) } } var g = t({ Fraction: function (e) { var t, r = e.s * e.n; t = r < 0 ? new s("-", "unaryMinus", [new o(-r)]) : new o(r); if (1 === e.d) return t; return new s("/", "divide", [t, new o(e.d)]) }, number: function (e) { return e < 0 ? b(new o(-e)) : new o(e) }, BigNumber: function (e) { return e < 0 ? b(new o(-e)) : new o(e) }, Complex: function (e) { throw new Error("Cannot convert Complex number to Node") } }); function v(e, t) { if (t && !1 !== t.exactFractions && isFinite(e) && i) { var r = i(e), n = t && "number" == typeof t.fractionsLimit ? t.fractionsLimit : 1 / 0; if (r.valueOf() === e && r.n < n && r.d < n) return r } return e } var x = t({ "string, Object": function (e, t) { return "BigNumber" === r.number ? (void 0 === a && ai(), a(e)) : "Fraction" === r.number ? (void 0 === i && oi(), i(e)) : v(parseFloat(e), t) }, "Fraction, Object": function (e, t) { return e }, "BigNumber, Object": function (e, t) { return e }, "number, Object": function (e, t) { return v(e, t) }, "Complex, Object": function (e, t) { return 0 !== e.im ? e : v(e.re, t) } }); function b(e) { return new s("-", "unaryMinus", [e]) } function w(e, t, r, n) { return t.reduce((function (t, i) { if (D(t) || D(i)) D(t) ? D(i) || (i = g(i)) : t = g(t); else { try { return y(e, [t, i], n) } catch (e) { } t = g(t), i = g(i) } return r([t, i]) })) } return function (e, t) { var r = function e(t, r) { switch (t.type) { case "SymbolNode": return t; case "ConstantNode": return "number" != typeof t.value && isNaN(t.value) ? t : x(t.value, r); case "FunctionNode": if (n[t.name] && n[t.name].rawArgs) return t; if (-1 === ["add", "multiply"].indexOf(t.name)) { var i = t.args.map((function (t) { return e(t, r) })); if (!i.some(D)) try { return y(t.name, i, r) } catch (e) { } return i = i.map((function (e) { return D(e) ? e : g(e) })), new c(t.name, i) } case "OperatorNode": var a, o, s = t.fn.toString(), u = d(t); if (j(t) && t.isUnary()) a = [e(t.args[0], r)], o = D(a[0]) ? u(a) : y(s, a, r); else if (m(t)) if (a = (a = h(t)).map((function (t) { return e(t, r) })), p(s)) { for (var f = [], l = [], v = 0; v < a.length; v++)D(a[v]) ? l.push(a[v]) : f.push(a[v]); f.length > 1 ? (o = w(s, f, u, r), l.unshift(o), o = w(s, l, u, r)) : o = w(s, a, u, r) } else o = w(s, a, u, r); else a = t.args.map((function (t) { return e(t, r) })), o = w(s, a, u, r); return o; case "ParenthesisNode": return e(t.content, r); case "AccessorNode": case "ArrayNode": case "AssignmentNode": case "BlockNode": case "FunctionAssignmentNode": case "IndexNode": case "ObjectNode": case "RangeNode": case "ConditionalNode": default: throw new Error("Unimplemented node type in simplifyConstant: ".concat(t.type)) } }(e, t); return D(r) ? r : g(r) } })), Nc = Je("resolve", ["parse", "FunctionNode", "OperatorNode", "ParenthesisNode"], (function (e) { var t = e.parse, r = e.FunctionNode, n = e.OperatorNode, i = e.ParenthesisNode; return function e(a, o) { if (!o) return a; if (F(a)) { var s = o[a.name]; if (D(s)) return e(s, o); if ("number" == typeof s) return t(String(s)) } else { if (j(a)) { var u = a.args.map((function (t) { return e(t, o) })); return new n(a.op, a.fn, u, a.implicit) } if (P(a)) return new i(e(a.content, o)); if (I(a)) { var c = a.args.map((function (t) { return e(t, o) })); return new r(a.name, c) } } return a } })); function Mc(e) { return (Mc = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var Sc = Je("simplify", ["config", "typed", "parse", "add", "subtract", "multiply", "divide", "pow", "isZero", "equal", "?fraction", "?bignumber", "mathWithTransform", "ConstantNode", "FunctionNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], (function (e) { var t = e.config, r = e.typed, n = e.parse, i = e.add, a = e.subtract, o = e.multiply, s = e.divide, u = e.pow, c = e.isZero, f = e.equal, l = e.fraction, p = e.bignumber, m = e.mathWithTransform, h = e.ConstantNode, d = e.FunctionNode, y = e.OperatorNode, g = e.ParenthesisNode, v = e.SymbolNode, x = wc({ typed: r, config: t, mathWithTransform: m, fraction: l, bignumber: p, ConstantNode: h, OperatorNode: y, FunctionNode: d, SymbolNode: v }), b = bc({ equal: f, isZero: c, add: i, subtract: a, multiply: o, divide: s, pow: u, ConstantNode: h, OperatorNode: y, FunctionNode: d, ParenthesisNode: g }), w = Nc({ parse: n, FunctionNode: d, OperatorNode: y, ParenthesisNode: g }), N = xc({ FunctionNode: d, OperatorNode: y, SymbolNode: v }), M = N.isCommutative, S = N.isAssociative, E = N.flatten, A = N.unflattenr, O = N.unflattenl, C = N.createMakeNodeFunction, _ = r("simplify", { string: function (e) { return this(n(e), this.rules, {}, {}) }, "string, Object": function (e, t) { return this(n(e), this.rules, t, {}) }, "string, Object, Object": function (e, t, r) { return this(n(e), this.rules, t, r) }, "string, Array": function (e, t) { return this(n(e), t, {}, {}) }, "string, Array, Object": function (e, t, r) { return this(n(e), t, r, {}) }, "string, Array, Object, Object": function (e, t, r, i) { return this(n(e), t, r, i) }, "Node, Object": function (e, t) { return this(e, this.rules, t, {}) }, "Node, Object, Object": function (e, t, r) { return this(e, this.rules, t, r) }, Node: function (e) { return this(e, this.rules, {}, {}) }, "Node, Array": function (e, t) { return this(e, t, {}, {}) }, "Node, Array, Object": function (e, t, r) { return this(e, t, r, {}) }, "Node, Array, Object, Object": function (e, t, r, i) { t = function (e) { for (var t = [], r = 0; r < e.length; r++) { var i = e[r], a = void 0, o = Mc(i); switch (o) { case "string": var s = i.split("->"); if (2 !== s.length) throw SyntaxError("Could not parse rule: " + i); i = { l: s[0], r: s[1] }; case "object": if (a = { l: T(n(i.l)), r: T(n(i.r)) }, i.context && (a.evaluate = i.context), i.evaluate && (a.evaluate = n(i.evaluate)), S(a.l)) { var u = C(a.l), c = new v("_p" + k++); a.expanded = {}, a.expanded.l = u([a.l.clone(), c]), E(a.expanded.l), A(a.expanded.l), a.expanded.r = u([a.r, c]) } break; case "function": a = i; break; default: throw TypeError("Unsupported type of rule: " + o) }t.push(a) } return t }(t); for (var a = w(e, r), o = {}, s = (a = T(a)).toString({ parenthesis: "all" }); !o[s];) { o[s] = !0, k = 0; for (var u = 0; u < t.length; u++)"function" == typeof t[u] ? a = t[u](a, i) : (E(a), a = I(a, t[u])), O(a); s = a.toString({ parenthesis: "all" }) } return a } }); function T(e) { return e.transform((function (e, t, r) { return P(e) ? T(e.content) : e })) } _.simplifyCore = b, _.resolve = w; var q = { true: !0, false: !0, e: !0, i: !0, Infinity: !0, LN2: !0, LN10: !0, LOG2E: !0, LOG10E: !0, NaN: !0, phi: !0, pi: !0, SQRT1_2: !0, SQRT2: !0, tau: !0 }; _.rules = [b, { l: "log(e)", r: "1" }, { l: "n-n1", r: "n+-n1" }, { l: "-(c*v)", r: "(-c) * v" }, { l: "-v", r: "(-1) * v" }, { l: "n/n1^n2", r: "n*n1^-n2" }, { l: "n/n1", r: "n*n1^-1" }, { l: "(n ^ n1) ^ n2", r: "n ^ (n1 * n2)" }, { l: "n*n", r: "n^2" }, { l: "n * n^n1", r: "n^(n1+1)" }, { l: "n^n1 * n^n2", r: "n^(n1+n2)" }, { l: "n+n", r: "2*n" }, { l: "n+-n", r: "0" }, { l: "n1*n2 + n2", r: "(n1+1)*n2" }, { l: "n1*n3 + n2*n3", r: "(n1+n2)*n3" }, { l: "n1 + -1 * (n2 + n3)", r: "n1 + -1 * n2 + -1 * n3" }, x, { l: "(-n)*n1", r: "-(n*n1)" }, { l: "c+v", r: "v+c", context: { add: { commutative: !1 } } }, { l: "v*c", r: "c*v", context: { multiply: { commutative: !1 } } }, { l: "n+-n1", r: "n-n1" }, { l: "n*(n1^-1)", r: "n/n1" }, { l: "n*n1^-n2", r: "n/n1^n2" }, { l: "n1^-1", r: "1/n1" }, { l: "n*(n1/n2)", r: "(n*n1)/n2" }, { l: "n-(n1+n2)", r: "n-n1-n2" }, { l: "1*n", r: "n" }, { l: "n1/(n2/n3)", r: "(n1*n3)/n2" }]; var k = 0; var I = r("applyRule", { "Node, Object": function (e, t) { var r = e; if (r instanceof y || r instanceof d) { if (r.args) for (var n = 0; n < r.args.length; n++)r.args[n] = I(r.args[n], t) } else r instanceof g && r.content && (r.content = I(r.content, t)); var i = t.r, a = R(t.l, r)[0]; if (!a && t.expanded && (i = t.expanded.r, a = R(t.expanded.l, r)[0]), a) { var o = r.implicit; r = i.clone(), o && "implicit" in i && (r.implicit = !0), r = r.transform((function (e) { return e.isSymbolNode && Ze(a.placeholders, e.name) ? a.placeholders[e.name].clone() : e })) } return r } }); function B(e, t) { var r = { placeholders: {} }; if (!e.placeholders && !t.placeholders) return r; if (!e.placeholders) return t; if (!t.placeholders) return e; for (var n in e.placeholders) if (Ze(e.placeholders, n) && (r.placeholders[n] = e.placeholders[n], Ze(t.placeholders, n) && !j(e.placeholders[n], t.placeholders[n]))) return null; for (var i in t.placeholders) Ze(t.placeholders, i) && (r.placeholders[i] = t.placeholders[i]); return r } function D(e, t) { var r, n = []; if (0 === e.length || 0 === t.length) return n; for (var i = 0; i < e.length; i++)for (var a = 0; a < t.length; a++)(r = B(e[i], t[a])) && n.push(r); return n } function R(e, t, r) { var n = [{ placeholders: {} }]; if (e instanceof y && t instanceof y || e instanceof d && t instanceof d) { if (e instanceof y) { if (e.op !== t.op || e.fn !== t.fn) return [] } else if (e instanceof d && e.name !== t.name) return []; if ((1 !== t.args.length || 1 !== e.args.length) && S(t) && !r) { if (t.args.length >= 2 && 2 === e.args.length) { for (var i = function (e, t) { var r, n, i = [], a = C(e); if (M(e, t)) for (var o = 0; o < e.args.length; o++)(n = e.args.slice(0)).splice(o, 1), r = 1 === n.length ? n[0] : a(n), i.push(a([e.args[o], r])); else r = 1 === (n = e.args.slice(1)).length ? n[0] : a(n), i.push(a([e.args[0], r])); return i }(t, e.context), a = [], o = 0; o < i.length; o++) { var s = R(e, i[o], !0); a = a.concat(s) } return a } if (e.args.length > 2) throw Error("Unexpected non-binary associative function: " + e.toString()); return [] } for (var u = [], c = 0; c < e.args.length; c++) { var l = R(e.args[c], t.args[c]); if (0 === l.length) return []; u.push(l) } n = function (e) { if (0 === e.length) return e; for (var t = e.reduce(D), r = [], n = {}, i = 0; i < t.length; i++) { var a = JSON.stringify(t[i]); n[a] || (n[a] = !0, r.push(t[i])) } return r }(u) } else if (e instanceof v) { if (0 === e.name.length) throw new Error("Symbol in rule has 0 length...!?"); if (q[e.name]) { if (e.name !== t.name) return [] } else if ("n" === e.name[0] || "_p" === e.name.substring(0, 2)) n[0].placeholders[e.name] = t; else if ("v" === e.name[0]) { if (z(t)) return []; n[0].placeholders[e.name] = t } else { if ("c" !== e.name[0]) throw new Error("Invalid symbol in rule: " + e.name); if (!(t instanceof h)) return []; n[0].placeholders[e.name] = t } } else { if (!(e instanceof h)) return []; if (!f(e.value, t.value)) return [] } return n } function j(e, t) { if (e instanceof h && t instanceof h) { if (!f(e.value, t.value)) return !1 } else if (e instanceof v && t instanceof v) { if (e.name !== t.name) return !1 } else { if (!(e instanceof y && t instanceof y || e instanceof d && t instanceof d)) return !1; if (e instanceof y) { if (e.op !== t.op || e.fn !== t.fn) return !1 } else if (e instanceof d && e.name !== t.name) return !1; if (e.args.length !== t.args.length) return !1; for (var r = 0; r < e.args.length; r++)if (!j(e.args[r], t.args[r])) return !1 } return !0 } return _ })), Ec = Je("derivative", ["typed", "config", "parse", "simplify", "equal", "isZero", "numeric", "ConstantNode", "FunctionNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], (function (e) { var t = e.typed, r = e.config, n = e.parse, i = e.simplify, a = e.equal, o = e.isZero, s = e.numeric, u = e.ConstantNode, c = e.FunctionNode, f = e.OperatorNode, l = e.ParenthesisNode, p = e.SymbolNode, m = t("derivative", { "Node, SymbolNode, Object": function (e, t, r) { var n = {}; d(n, e, t.name); var a = y(e, n); return r.simplify ? i(a) : a }, "Node, SymbolNode": function (e, t) { return this(e, t, { simplify: !0 }) }, "string, SymbolNode": function (e, t) { return this(n(e), t) }, "string, SymbolNode, Object": function (e, t, r) { return this(n(e), t, r) }, "string, string": function (e, t) { return this(n(e), n(t)) }, "string, string, Object": function (e, t, r) { return this(n(e), n(t), r) }, "Node, string": function (e, t) { return this(e, n(t)) }, "Node, string, Object": function (e, t, r) { return this(e, n(t), r) } }); m._simplify = !0, m.toTex = function (e) { return h.apply(null, e.args) }; var h = t("_derivTex", { "Node, SymbolNode": function (e, t) { return z(e) && "string" === H(e.value) ? h(n(e.value).toString(), t.toString(), 1) : h(e.toString(), t.toString(), 1) }, "Node, ConstantNode": function (e, t) { if ("string" === H(t.value)) return h(e, n(t.value)); throw new Error("The second parameter to 'derivative' is a non-string constant") }, "Node, SymbolNode, ConstantNode": function (e, t, r) { return h(e.toString(), t.name, r.value) }, "string, string, number": function (e, t, r) { return (1 === r ? "{d\\over d" + t + "}" : "{d^{" + r + "}\\over d" + t + "^{" + r + "}}") + "\\left[".concat(e, "\\right]") } }), d = t("constTag", { "Object, ConstantNode, string": function (e, t) { return e[t] = !0, !0 }, "Object, SymbolNode, string": function (e, t, r) { return t.name !== r && (e[t] = !0, !0) }, "Object, ParenthesisNode, string": function (e, t, r) { return d(e, t.content, r) }, "Object, FunctionAssignmentNode, string": function (e, t, r) { return -1 === t.params.indexOf(r) ? (e[t] = !0, !0) : d(e, t.expr, r) }, "Object, FunctionNode | OperatorNode, string": function (e, t, r) { if (t.args.length > 0) { for (var n = d(e, t.args[0], r), i = 1; i < t.args.length; ++i)n = d(e, t.args[i], r) && n; if (n) return e[t] = !0, !0 } return !1 } }), y = t("_derivative", { "ConstantNode, Object": function (e) { return g(0) }, "SymbolNode, Object": function (e, t) { return void 0 !== t[e] ? g(0) : g(1) }, "ParenthesisNode, Object": function (e, t) { return new l(y(e.content, t)) }, "FunctionAssignmentNode, Object": function (e, t) { return void 0 !== t[e] ? g(0) : y(e.expr, t) }, "FunctionNode, Object": function (e, t) { if (1 !== e.args.length && function (e) { if (("log" === e.name || "nthRoot" === e.name || "pow" === e.name) && 2 === e.args.length) return; for (var t = 0; t < e.args.length; ++t)e.args[t] = g(0); throw e.compile().evaluate(), new Error("Expected TypeError, but none found") }(e), void 0 !== t[e]) return g(0); var r, n, i, a, o = e.args[0], s = !1, u = !1; switch (e.name) { case "cbrt": s = !0, n = new f("*", "multiply", [g(3), new f("^", "pow", [o, new f("/", "divide", [g(2), g(3)])])]); break; case "sqrt": case "nthRoot": if (1 === e.args.length) s = !0, n = new f("*", "multiply", [g(2), new c("sqrt", [o])]); else if (2 === e.args.length) return t[r = new f("/", "divide", [g(1), e.args[1]])] = t[e.args[1]], y(new f("^", "pow", [o, r]), t); break; case "log10": r = g(10); case "log": if (r || 1 !== e.args.length) { if (1 === e.args.length && r || 2 === e.args.length && void 0 !== t[e.args[1]]) n = new f("*", "multiply", [o.clone(), new c("log", [r || e.args[1]])]), s = !0; else if (2 === e.args.length) return y(new f("/", "divide", [new c("log", [o]), new c("log", [e.args[1]])]), t) } else n = o.clone(), s = !0; break; case "pow": return t[r] = t[e.args[1]], y(new f("^", "pow", [o, e.args[1]]), t); case "exp": n = new c("exp", [o.clone()]); break; case "sin": n = new c("cos", [o.clone()]); break; case "cos": n = new f("-", "unaryMinus", [new c("sin", [o.clone()])]); break; case "tan": n = new f("^", "pow", [new c("sec", [o.clone()]), g(2)]); break; case "sec": n = new f("*", "multiply", [e, new c("tan", [o.clone()])]); break; case "csc": u = !0, n = new f("*", "multiply", [e, new c("cot", [o.clone()])]); break; case "cot": u = !0, n = new f("^", "pow", [new c("csc", [o.clone()]), g(2)]); break; case "asin": s = !0, n = new c("sqrt", [new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])])]); break; case "acos": s = !0, u = !0, n = new c("sqrt", [new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])])]); break; case "atan": s = !0, n = new f("+", "add", [new f("^", "pow", [o.clone(), g(2)]), g(1)]); break; case "asec": s = !0, n = new f("*", "multiply", [new c("abs", [o.clone()]), new c("sqrt", [new f("-", "subtract", [new f("^", "pow", [o.clone(), g(2)]), g(1)])])]); break; case "acsc": s = !0, u = !0, n = new f("*", "multiply", [new c("abs", [o.clone()]), new c("sqrt", [new f("-", "subtract", [new f("^", "pow", [o.clone(), g(2)]), g(1)])])]); break; case "acot": s = !0, u = !0, n = new f("+", "add", [new f("^", "pow", [o.clone(), g(2)]), g(1)]); break; case "sinh": n = new c("cosh", [o.clone()]); break; case "cosh": n = new c("sinh", [o.clone()]); break; case "tanh": n = new f("^", "pow", [new c("sech", [o.clone()]), g(2)]); break; case "sech": u = !0, n = new f("*", "multiply", [e, new c("tanh", [o.clone()])]); break; case "csch": u = !0, n = new f("*", "multiply", [e, new c("coth", [o.clone()])]); break; case "coth": u = !0, n = new f("^", "pow", [new c("csch", [o.clone()]), g(2)]); break; case "asinh": s = !0, n = new c("sqrt", [new f("+", "add", [new f("^", "pow", [o.clone(), g(2)]), g(1)])]); break; case "acosh": s = !0, n = new c("sqrt", [new f("-", "subtract", [new f("^", "pow", [o.clone(), g(2)]), g(1)])]); break; case "atanh": s = !0, n = new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])]); break; case "asech": s = !0, u = !0, n = new f("*", "multiply", [o.clone(), new c("sqrt", [new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])])])]); break; case "acsch": s = !0, u = !0, n = new f("*", "multiply", [new c("abs", [o.clone()]), new c("sqrt", [new f("+", "add", [new f("^", "pow", [o.clone(), g(2)]), g(1)])])]); break; case "acoth": s = !0, u = !0, n = new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])]); break; case "abs": n = new f("/", "divide", [new c(new p("abs"), [o.clone()]), o.clone()]); break; case "gamma": default: throw new Error('Function "' + e.name + '" is not supported by derivative, or a wrong number of arguments is passed') }s ? (i = "/", a = "divide") : (i = "*", a = "multiply"); var l = y(o, t); return u && (l = new f("-", "unaryMinus", [l])), new f(i, a, [l, n]) }, "OperatorNode, Object": function (e, t) { if (void 0 !== t[e]) return g(0); if ("+" === e.op) return new f(e.op, e.fn, e.args.map((function (e) { return y(e, t) }))); if ("-" === e.op) { if (e.isUnary()) return new f(e.op, e.fn, [y(e.args[0], t)]); if (e.isBinary()) return new f(e.op, e.fn, [y(e.args[0], t), y(e.args[1], t)]) } if ("*" === e.op) { var r = e.args.filter((function (e) { return void 0 !== t[e] })); if (r.length > 0) { var n = e.args.filter((function (e) { return void 0 === t[e] })), i = 1 === n.length ? n[0] : new f("*", "multiply", n), s = r.concat(y(i, t)); return new f("*", "multiply", s) } return new f("+", "add", e.args.map((function (r) { return new f("*", "multiply", e.args.map((function (e) { return e === r ? y(e, t) : e.clone() }))) }))) } if ("/" === e.op && e.isBinary()) { var u = e.args[0], l = e.args[1]; return void 0 !== t[l] ? new f("/", "divide", [y(u, t), l]) : void 0 !== t[u] ? new f("*", "multiply", [new f("-", "unaryMinus", [u]), new f("/", "divide", [y(l, t), new f("^", "pow", [l.clone(), g(2)])])]) : new f("/", "divide", [new f("-", "subtract", [new f("*", "multiply", [y(u, t), l.clone()]), new f("*", "multiply", [u.clone(), y(l, t)])]), new f("^", "pow", [l.clone(), g(2)])]) } if ("^" === e.op && e.isBinary()) { var p = e.args[0], m = e.args[1]; if (void 0 !== t[p]) return z(p) && (o(p.value) || a(p.value, 1)) ? g(0) : new f("*", "multiply", [e, new f("*", "multiply", [new c("log", [p.clone()]), y(m.clone(), t)])]); if (void 0 !== t[m]) { if (z(m)) { if (o(m.value)) return g(0); if (a(m.value, 1)) return y(p, t) } var h = new f("^", "pow", [p.clone(), new f("-", "subtract", [m, g(1)])]); return new f("*", "multiply", [m.clone(), new f("*", "multiply", [y(p, t), h])]) } return new f("*", "multiply", [new f("^", "pow", [p.clone(), m.clone()]), new f("+", "add", [new f("*", "multiply", [y(p, t), new f("/", "divide", [m.clone(), p.clone()])]), new f("*", "multiply", [y(m, t), new c("log", [p.clone()])])])]) } throw new Error('Operator "' + e.op + '" is not supported by derivative, or a wrong number of arguments is passed') } }); function g(e, t) { return new u(s(e, t || r.number)) } return m })), Ac = Je("rationalize", ["config", "typed", "equal", "isZero", "add", "subtract", "multiply", "divide", "pow", "parse", "simplify", "?bignumber", "?fraction", "mathWithTransform", "ConstantNode", "OperatorNode", "FunctionNode", "SymbolNode", "ParenthesisNode"], (function (e) { var t = e.config, r = e.typed, n = e.equal, i = e.isZero, a = e.add, o = e.subtract, s = e.multiply, u = e.divide, c = e.pow, f = e.parse, l = e.simplify, p = e.fraction, m = e.bignumber, h = e.mathWithTransform, d = e.ConstantNode, y = e.OperatorNode, g = e.FunctionNode, v = e.SymbolNode, x = e.ParenthesisNode, b = wc({ typed: r, config: t, mathWithTransform: h, fraction: p, bignumber: m, ConstantNode: d, OperatorNode: y, FunctionNode: g, SymbolNode: v }), w = bc({ equal: n, isZero: i, add: a, subtract: o, multiply: s, divide: u, pow: c, ConstantNode: d, OperatorNode: y, FunctionNode: g, ParenthesisNode: x }); return r("rationalize", { string: function (e) { return this(f(e), {}, !1) }, "string, boolean": function (e, t) { return this(f(e), {}, t) }, "string, Object": function (e, t) { return this(f(e), t, !1) }, "string, Object, boolean": function (e, t, r) { return this(f(e), t, r) }, Node: function (e) { return this(e, {}, !1) }, "Node, boolean": function (e, t) { return this(e, {}, t) }, "Node, Object": function (e, t) { return this(e, t, !1) }, "Node, Object, boolean": function (e, t, r) { var n = function () { var e = [w, { l: "n+n", r: "2*n" }, { l: "n+-n", r: "0" }, b, { l: "n*(n1^-1)", r: "n/n1" }, { l: "n*n1^-n2", r: "n/n1^n2" }, { l: "n1^-1", r: "1/n1" }, { l: "n*(n1/n2)", r: "(n*n1)/n2" }, { l: "1*n", r: "n" }], t = [{ l: "(-n1)/(-n2)", r: "n1/n2" }, { l: "(-n1)*(-n2)", r: "n1*n2" }, { l: "n1--n2", r: "n1+n2" }, { l: "n1-n2", r: "n1+(-n2)" }, { l: "(n1+n2)*n3", r: "(n1*n3 + n2*n3)" }, { l: "n1*(n2+n3)", r: "(n1*n2+n1*n3)" }, { l: "c1*n + c2*n", r: "(c1+c2)*n" }, { l: "c1*n + n", r: "(c1+1)*n" }, { l: "c1*n - c2*n", r: "(c1-c2)*n" }, { l: "c1*n - n", r: "(c1-1)*n" }, { l: "v/c", r: "(1/c)*v" }, { l: "v/-c", r: "-(1/c)*v" }, { l: "-v*-c", r: "c*v" }, { l: "-v*c", r: "-c*v" }, { l: "v*-c", r: "-c*v" }, { l: "v*c", r: "c*v" }, { l: "-(-n1*n2)", r: "(n1*n2)" }, { l: "-(n1*n2)", r: "(-n1*n2)" }, { l: "-(-n1+n2)", r: "(n1-n2)" }, { l: "-(n1+n2)", r: "(-n1-n2)" }, { l: "(n1^n2)^n3", r: "(n1^(n2*n3))" }, { l: "-(-n1/n2)", r: "(n1/n2)" }, { l: "-(n1/n2)", r: "(-n1/n2)" }], r = [{ l: "(n1/(n2/n3))", r: "((n1*n3)/n2)" }, { l: "(n1/n2/n3)", r: "(n1/(n2*n3))" }], n = {}; return n.firstRules = e.concat(t, r), n.distrDivRules = [{ l: "(n1/n2 + n3/n4)", r: "((n1*n4 + n3*n2)/(n2*n4))" }, { l: "(n1/n2 + n3)", r: "((n1 + n3*n2)/n2)" }, { l: "(n1 + n2/n3)", r: "((n1*n3 + n2)/n3)" }], n.sucDivRules = r, n.firstRulesAgain = e.concat(t), n.finalRules = [w, { l: "n*-n", r: "-n^2" }, { l: "n*n", r: "n^2" }, b, { l: "n*-n^n1", r: "-n^(n1+1)" }, { l: "n*n^n1", r: "n^(n1+1)" }, { l: "n^n1*-n^n2", r: "-n^(n1+n2)" }, { l: "n^n1*n^n2", r: "n^(n1+n2)" }, { l: "n^n1*-n", r: "-n^(n1+1)" }, { l: "n^n1*n", r: "n^(n1+1)" }, { l: "n^n1/-n", r: "-n^(n1-1)" }, { l: "n^n1/n", r: "n^(n1-1)" }, { l: "n/-n^n1", r: "-n^(1-n1)" }, { l: "n/n^n1", r: "n^(1-n1)" }, { l: "n^n1/-n^n2", r: "n^(n1-n2)" }, { l: "n^n1/n^n2", r: "n^(n1-n2)" }, { l: "n1+(-n2*n3)", r: "n1-n2*n3" }, { l: "v*(-c)", r: "-c*v" }, { l: "n1+-n2", r: "n1-n2" }, { l: "v*c", r: "c*v" }, { l: "(n1^n2)^n3", r: "(n1^(n2*n3))" }], n }(), i = function (e, t, r, n) { var i = [], a = l(e, n, t, { exactFractions: !1 }), o = "+-*" + ((r = !!r) ? "/" : ""); !function e(t) { var r = t.type; if ("FunctionNode" === r) throw new Error("There is an unsolved function call"); if ("OperatorNode" === r) if ("^" === t.op) { if ("ConstantNode" !== t.args[1].type || !V(parseFloat(t.args[1].value))) throw new Error("There is a non-integer exponent"); e(t.args[0]) } else { if (-1 === o.indexOf(t.op)) throw new Error("Operator " + t.op + " invalid in polynomial expression"); for (var n = 0; n < t.args.length; n++)e(t.args[n]) } else if ("SymbolNode" === r) { var a = t.name; -1 === i.indexOf(a) && i.push(a) } else if ("ParenthesisNode" === r) e(t.content); else if ("ConstantNode" !== r) throw new Error("type " + r + " is not allowed in polynomial expression") }(a); var s = {}; return s.expression = a, s.variables = i, s }(e, t, !0, n.firstRules), a = i.variables.length; if (e = i.expression, a >= 1) { var o, s; e = function e(t, r, n) { var i = t.type, a = arguments.length > 1; if ("OperatorNode" === i && t.isBinary()) { var o, s = !1; if ("^" === t.op && ("ParenthesisNode" !== t.args[0].type && "OperatorNode" !== t.args[0].type || "ConstantNode" !== t.args[1].type || (o = parseFloat(t.args[1].value), s = o >= 2 && V(o))), s) { if (o > 2) { var u = t.args[0], c = new y("^", "pow", [t.args[0].cloneDeep(), new d(o - 1)]); t = new y("*", "multiply", [u, c]) } else t = new y("*", "multiply", [t.args[0], t.args[0].cloneDeep()]); a && ("content" === n ? r.content = t : r.args[n] = t) } } if ("ParenthesisNode" === i) e(t.content, t, "content"); else if ("ConstantNode" !== i && "SymbolNode" !== i) for (var f = 0; f < t.args.length; f++)e(t.args[f], t, f); if (!a) return t }(e); var u, c = !0, f = !1; for (e = l(e, n.firstRules, {}, { exactFractions: !1 }); s = c ? n.distrDivRules : n.sucDivRules, c = !c, (u = (e = l(e, s)).toString()) !== o;)f = !0, o = u; f && (e = l(e, n.firstRulesAgain, {}, { exactFractions: !1 })), e = l(e, n.finalRules, {}, { exactFractions: !1 }) } var p = [], m = {}; return "OperatorNode" === e.type && e.isBinary() && "/" === e.op ? (1 === a && (e.args[0] = N(e.args[0], p), e.args[1] = N(e.args[1])), r && (m.numerator = e.args[0], m.denominator = e.args[1])) : (1 === a && (e = N(e, p)), r && (m.numerator = e, m.denominator = null)), r ? (m.coefficients = p, m.variables = i.variables, m.expression = e, m) : e } }); function N(e, t) { void 0 === t && (t = []), t[0] = 0; var r = { cte: 1, oper: "+", fire: "" }, n = 0, i = ""; !function e(r, a, o) { var s = r.type; if ("FunctionNode" === s) throw new Error("There is an unsolved function call"); if ("OperatorNode" === s) { if (-1 === "+-*^".indexOf(r.op)) throw new Error("Operator " + r.op + " invalid"); if (null !== a) { if (("unaryMinus" === r.fn || "pow" === r.fn) && "add" !== a.fn && "subtract" !== a.fn && "multiply" !== a.fn) throw new Error("Invalid " + r.op + " placing"); if (("subtract" === r.fn || "add" === r.fn || "multiply" === r.fn) && "add" !== a.fn && "subtract" !== a.fn) throw new Error("Invalid " + r.op + " placing"); if (("subtract" === r.fn || "add" === r.fn || "unaryMinus" === r.fn) && 0 !== o.noFil) throw new Error("Invalid " + r.op + " placing") } "^" !== r.op && "*" !== r.op || (o.fire = r.op); for (var u = 0; u < r.args.length; u++)"unaryMinus" === r.fn && (o.oper = "-"), "+" !== r.op && "subtract" !== r.fn || (o.fire = "", o.cte = 1, o.oper = 0 === u ? "+" : r.op), o.noFil = u, e(r.args[u], r, o) } else if ("SymbolNode" === s) { if (r.name !== i && "" !== i) throw new Error("There is more than one variable"); if (i = r.name, null === a) return void (t[1] = 1); if ("^" === a.op && 0 !== o.noFil) throw new Error("In power the variable should be the first parameter"); if ("*" === a.op && 1 !== o.noFil) throw new Error("In multiply the variable should be the second parameter"); "" !== o.fire && "*" !== o.fire || (n < 1 && (t[1] = 0), t[1] += o.cte * ("+" === o.oper ? 1 : -1), n = Math.max(1, n)) } else { if ("ConstantNode" !== s) throw new Error("Type " + s + " is not allowed"); var c = parseFloat(r.value); if (null === a) return void (t[0] = c); if ("^" === a.op) { if (1 !== o.noFil) throw new Error("Constant cannot be powered"); if (!V(c) || c <= 0) throw new Error("Non-integer exponent is not allowed"); for (var f = n + 1; f < c; f++)t[f] = 0; return c > n && (t[c] = 0), t[c] += o.cte * ("+" === o.oper ? 1 : -1), void (n = Math.max(c, n)) } o.cte = c, "" === o.fire && (t[0] += o.cte * ("+" === o.oper ? 1 : -1)) } }(e, null, r); for (var a, o = !0, s = n = t.length - 1; s >= 0; s--)if (0 !== t[s]) { var u = new d(o ? t[s] : Math.abs(t[s])), c = t[s] < 0 ? "-" : "+"; if (s > 0) { var f = new v(i); if (s > 1) { var l = new d(s); f = new y("^", "pow", [f, l]) } u = -1 === t[s] && o ? new y("-", "unaryMinus", [f]) : 1 === Math.abs(t[s]) ? f : new y("*", "multiply", [u, f]) } a = o ? u : "+" === c ? new y("+", "add", [a, u]) : new y("-", "subtract", [a, u]), o = !1 } return o ? new d(0) : a } })), Oc = Je("reviver", ["classes"], (function (e) { var t = e.classes; return function (e, r) { var n = t[r && r.mathjs]; return n && "function" == typeof n.fromJSON ? n.fromJSON(r) : r } })), Cc = Je("replacer", [], (function () { return function (e, t) { return "number" != typeof t || isFinite(t) && !isNaN(t) ? t : { mathjs: "number", value: String(t) } } })), _c = Math.PI, Tc = 2 * Math.PI, qc = Math.E, zc = Je("true", [], (function () { return !0 })), kc = Je("false", [], (function () { return !1 })), Ic = Je("null", [], (function () { return null })), Bc = Xc("Infinity", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(1 / 0) : 1 / 0 })), Dc = Xc("NaN", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(NaN) : NaN })), Rc = Xc("pi", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? Ya(r) : _c })), jc = Xc("tau", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? Xa(r) : Tc })), Pc = Xc("e", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? Wa(r) : qc })), Uc = Xc("phi", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? Ja(r) : 1.618033988749895 })), Fc = Xc("LN2", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(2).ln() : Math.LN2 })), Lc = Xc("LN10", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(10).ln() : Math.LN10 })), Hc = Xc("LOG2E", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(1).div(new r(2).ln()) : Math.LOG2E })), $c = Xc("LOG10E", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(1).div(new r(10).ln()) : Math.LOG10E })), Gc = Xc("SQRT1_2", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r("0.5").sqrt() : Math.SQRT1_2 })), Vc = Xc("SQRT2", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(2).sqrt() : Math.SQRT2 })), Zc = Xc("i", ["Complex"], (function (e) { return e.Complex.I })), Wc = Je("PI", ["pi"], (function (e) { return e.pi })), Jc = Je("E", ["e"], (function (e) { return e.e })), Yc = Je("version", [], (function () { return "8.1.0" })); function Xc(e, t, r) { return Je(e, t, r, { recreateOnConfigChange: !0 }) } var Qc = Jf("speedOfLight", "299792458", "m s^-1"), Kc = Jf("gravitationConstant", "6.67430e-11", "m^3 kg^-1 s^-2"), ef = Jf("planckConstant", "6.62607015e-34", "J s"), tf = Jf("reducedPlanckConstant", "1.0545718176461565e-34", "J s"), rf = Jf("magneticConstant", "1.25663706212e-6", "N A^-2"), nf = Jf("electricConstant", "8.8541878128e-12", "F m^-1"), af = Jf("vacuumImpedance", "376.730313667", "ohm"), of = Jf("coulomb", "8.987551792261171e9", "N m^2 C^-2"), sf = Jf("elementaryCharge", "1.602176634e-19", "C"), uf = Jf("bohrMagneton", "9.2740100783e-24", "J T^-1"), cf = Jf("conductanceQuantum", "7.748091729863649e-5", "S"), ff = Jf("inverseConductanceQuantum", "12906.403729652257", "ohm"), lf = Jf("magneticFluxQuantum", "2.0678338484619295e-15", "Wb"), pf = Jf("nuclearMagneton", "5.0507837461e-27", "J T^-1"), mf = Jf("klitzing", "25812.807459304513", "ohm"), hf = Jf("bohrRadius", "5.29177210903e-11", "m"), df = Jf("classicalElectronRadius", "2.8179403262e-15", "m"), yf = Jf("electronMass", "9.1093837015e-31", "kg"), gf = Jf("fermiCoupling", "1.1663787e-5", "GeV^-2"), vf = Yf("fineStructure", .0072973525693), xf = Jf("hartreeEnergy", "4.3597447222071e-18", "J"), bf = Jf("protonMass", "1.67262192369e-27", "kg"), wf = Jf("deuteronMass", "3.3435830926e-27", "kg"), Nf = Jf("neutronMass", "1.6749271613e-27", "kg"), Mf = Jf("quantumOfCirculation", "3.6369475516e-4", "m^2 s^-1"), Sf = Jf("rydberg", "10973731.568160", "m^-1"), Ef = Jf("thomsonCrossSection", "6.6524587321e-29", "m^2"), Af = Yf("weakMixingAngle", .2229), Of = Yf("efimovFactor", 22.7), Cf = Jf("atomicMass", "1.66053906660e-27", "kg"), _f = Jf("avogadro", "6.02214076e23", "mol^-1"), Tf = Jf("boltzmann", "1.380649e-23", "J K^-1"), qf = Jf("faraday", "96485.33212331001", "C mol^-1"), zf = Jf("firstRadiation", "3.7417718521927573e-16", "W m^2"), kf = Jf("loschmidt", "2.686780111798444e25", "m^-3"), If = Jf("gasConstant", "8.31446261815324", "J K^-1 mol^-1"), Bf = Jf("molarPlanckConstant", "3.990312712893431e-10", "J s mol^-1"), Df = Jf("molarVolume", "0.022413969545014137", "m^3 mol^-1"), Rf = Yf("sackurTetrode", -1.16487052358), jf = Jf("secondRadiation", "0.014387768775039337", "m K"), Pf = Jf("stefanBoltzmann", "5.67037441918443e-8", "W m^-2 K^-4"), Uf = Jf("wienDisplacement", "2.897771955e-3", "m K"), Ff = Jf("molarMass", "0.99999999965e-3", "kg mol^-1"), Lf = Jf("molarMassC12", "11.9999999958e-3", "kg mol^-1"), Hf = Jf("gravity", "9.80665", "m s^-2"), $f = Jf("planckLength", "1.616255e-35", "m"), Gf = Jf("planckMass", "2.176435e-8", "kg"), Vf = Jf("planckTime", "5.391245e-44", "s"), Zf = Jf("planckCharge", "1.87554603778e-18", "C"), Wf = Jf("planckTemperature", "1.416785e+32", "K"); function Jf(e, t, r) { return Je(e, ["config", "Unit", "BigNumber"], (function (e) { var n = e.config, i = e.Unit, a = e.BigNumber, o = new i("BigNumber" === n.number ? new a(t) : parseFloat(t), r); return o.fixPrefix = !0, o })) } function Yf(e, t) { return Je(e, ["config", "BigNumber"], (function (e) { var r = e.config, n = e.BigNumber; return "BigNumber" === r.number ? new n(t) : t })) } var Xf = Je("apply", ["typed", "isInteger"], (function (e) { var t = e.typed, r = e.isInteger, n = xr({ typed: t, isInteger: r }); return t("apply", { "...any": function (e) { var t = e[1]; a(t) ? e[1] = t - 1 : o(t) && (e[1] = t.minus(1)); try { return n.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), Qf = Je("column", ["typed", "Index", "matrix", "range"], (function (e) { var t = e.typed, r = e.Index, n = e.matrix, i = e.range, o = Fn({ typed: t, Index: r, matrix: n, range: i }); return t("column", { "...any": function (e) { var t = e.length - 1, r = e[t]; a(r) && (e[t] = r - 1); try { return o.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }); function Kf(e, t, r) { var n = e.filter((function (e) { return F(e) && !(e.name in t) && !(e.name in r) }))[0]; if (!n) throw new Error('No undefined variable found in inline expression "' + e + '"'); var i = n.name, a = Object.create(r), o = e.compile(); return function (e) { return a[i] = e, o.evaluate(a) } } var el = Je("filter", ["typed"], (function (e) { var t = e.typed; function r(e, t, r) { var i, a; return e[0] && (i = e[0].compile().evaluate(r)), e[1] && (a = F(e[1]) || k(e[1]) ? e[1].compile().evaluate(r) : Kf(e[1], t, r)), n(i, a) } r.rawArgs = !0; var n = t("filter", { "Array, function": tl, "Matrix, function": function (e, t) { return e.create(tl(e.toArray(), t)) }, "Array, RegExp": Ie, "Matrix, RegExp": function (e, t) { return e.create(Ie(e.toArray(), t)) } }); return r }), { isTransformFunction: !0 }); function tl(e, t) { var r = Vn(t); return ke(e, (function (e, n, i) { return 1 === r ? t(e) : 2 === r ? t(e, [n + 1]) : t(e, [n + 1], i) })) } var rl = Je("forEach", ["typed"], (function (e) { var t = e.typed; function r(e, t, r) { var i, a; return e[0] && (i = e[0].compile().evaluate(r)), e[1] && (a = F(e[1]) || k(e[1]) ? e[1].compile().evaluate(r) : Kf(e[1], t, r)), n(i, a) } r.rawArgs = !0; var n = t("forEach", { "Array | Matrix, function": function (e, t) { var r = Vn(t); !function n(i, a) { Array.isArray(i) ? ze(i, (function (e, t) { n(e, a.concat(t + 1)) })) : 1 === r ? t(i) : 2 === r ? t(i, a) : t(i, a, e) }(e.valueOf(), []) } }); return r }), { isTransformFunction: !0 }), nl = Je("index", ["Index"], (function (e) { var t = e.Index; return function () { for (var e = [], r = 0, n = arguments.length; r < n; r++) { var i = arguments[r]; if (y(i)) i.start--, i.end -= i.step > 0 ? 0 : 2; else if (i && !0 === i.isSet) i = i.map((function (e) { return e - 1 })); else if (l(i) || p(i)) i = i.map((function (e) { return e - 1 })); else if (a(i)) i--; else if (o(i)) i = i.toNumber() - 1; else if ("string" != typeof i) throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range"); e[r] = i } var s = new t; return t.apply(s, e), s } }), { isTransformFunction: !0 }), il = Je("map", ["typed"], (function (e) { var t = e.typed; function r(e, t, r) { var i, a; return e[0] && (i = e[0].compile().evaluate(r)), e[1] && (a = F(e[1]) || k(e[1]) ? e[1].compile().evaluate(r) : Kf(e[1], t, r)), n(i, a) } r.rawArgs = !0; var n = t("map", { "Array, function": function (e, t) { return al(e, t, e) }, "Matrix, function": function (e, t) { return e.create(al(e.valueOf(), t, e)) } }); return r }), { isTransformFunction: !0 }); function al(e, t, r) { var n = Vn(t); return function e(i, a) { return Array.isArray(i) ? qe(i, (function (t, r) { return e(t, a.concat(r + 1)) })) : 1 === n ? t(i) : 2 === n ? t(i, a) : t(i, a, r) }(e, []) } var ol = Je("max", ["typed", "config", "numeric", "larger"], (function (e) { var t = e.typed, r = e.config, n = e.numeric, i = e.larger, s = La({ typed: t, config: r, numeric: n, larger: i }); return t("max", { "...any": function (e) { if (2 === e.length && m(e[0])) { var t = e[1]; a(t) ? e[1] = t - 1 : o(t) && (e[1] = t.minus(1)) } try { return s.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), sl = Je("mean", ["typed", "add", "divide"], (function (e) { var t = e.typed, r = e.add, n = e.divide, i = Uu({ typed: t, add: r, divide: n }); return t("mean", { "...any": function (e) { if (2 === e.length && m(e[0])) { var t = e[1]; a(t) ? e[1] = t - 1 : o(t) && (e[1] = t.minus(1)) } try { return i.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), ul = Je("min", ["typed", "config", "numeric", "smaller"], (function (e) { var t = e.typed, r = e.config, n = e.numeric, i = e.smaller, s = Ha({ typed: t, config: r, numeric: n, smaller: i }); return t("min", { "...any": function (e) { if (2 === e.length && m(e[0])) { var t = e[1]; a(t) ? e[1] = t - 1 : o(t) && (e[1] = t.minus(1)) } try { return s.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), cl = Je("range", ["typed", "config", "?matrix", "?bignumber", "smaller", "smallerEq", "larger", "largerEq"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.bignumber, a = e.smaller, o = e.smallerEq, s = e.larger, u = e.largerEq, c = ui({ typed: t, config: r, matrix: n, bignumber: i, smaller: a, smallerEq: o, larger: s, largerEq: u }); return t("range", { "...any": function (e) { return "boolean" != typeof e[e.length - 1] && e.push(!0), c.apply(null, e) } }) }), { isTransformFunction: !0 }), fl = Je("row", ["typed", "Index", "matrix", "range"], (function (e) { var t = e.typed, r = e.Index, n = e.matrix, i = e.range, o = hi({ typed: t, Index: r, matrix: n, range: i }); return t("row", { "...any": function (e) { var t = e.length - 1, r = e[t]; a(r) && (e[t] = r - 1); try { return o.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), ll = Je("subset", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix, n = Ei({ typed: t, matrix: r }); return t("subset", { "...any": function (e) { try { return n.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), pl = Je("concat", ["typed", "matrix", "isInteger"], (function (e) { var t = e.typed, r = e.matrix, n = e.isInteger, i = Pn({ typed: t, matrix: r, isInteger: n }); return t("concat", { "...any": function (e) { var t = e.length - 1, r = e[t]; a(r) ? 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Name: " + JSON.stringify(e)); "math" === e ? n.math = r : "mathWithTransform" === e ? n.mathWithTransform = r.expression.mathWithTransform : "classes" === e ? n.classes = r : n[e] = r[e] })); var o = t(n); if (o && "function" == typeof o.transform) throw new Error('Transforms cannot be attached to factory functions. Please create a separate function for it with exports.path="expression.transform"'); if (void 0 === u || i.override) return o; if (h(u) && h(o)) return e(u, o); if (i.silent) return u; throw new Error('Cannot import "' + a + '": already exists') }; t.meta && !1 === t.meta.lazy ? (o[a] = c(), u && s ? f(a) : (g(t) || y(t)) && Ve(r.expression.mathWithTransform, a, (function () { return o[a] }))) : (Ve(o, a, c), u && s ? f(a) : (g(t) || y(t)) && Ve(r.expression.mathWithTransform, a, (function () { return o[a] }))), n[a] = t, r.emit("import", a, c) } function m(e) { return "function" == typeof e || "number" == typeof e || "string" == typeof e || "boolean" == typeof e || null === e || c(e) || s(e) || o(e) || u(e) || p(e) || Array.isArray(e) } function h(e) { return "function" == typeof e && "object" === xl(e.signatures) } function d(e) { return !Ze(v, e) } function y(e) { return !(-1 !== e.fn.indexOf(".") || Ze(v, e.fn) || e.meta && e.meta.isClass) } function g(e) { return void 0 !== e && void 0 !== e.meta && !0 === e.meta.isTransformFunction || !1 } var v = { expression: !0, type: !0, docs: !0, error: !0, json: !0, chain: !0 }; return function (e, t) { var r = arguments.length; if (1 !== r && 2 !== r) throw new fi("import", r, 1, 2); function n(e, r, i) { if (Array.isArray(r)) r.forEach((function (t) { return n(e, t) })); else if ("object" === xl(r)) for (var a in r) Ze(r, a) && n(e, r[a], a); else if (Ye(r) || void 0 !== i) { var o = Ye(r) ? g(r) ? r.fn + ".transform" : r.fn : i; if (Ze(e, o) && e[o] !== r && !t.silent) throw new Error('Cannot import "' + o + '" twice'); e[o] = r } else if (!t.silent) throw new TypeError("Factory, Object, or Array expected") } t || (t = {}); var a = {}; for (var o in n(a, e), a) if (Ze(a, o)) { var s = a[o]; if (Ye(s)) l(s, t); else if (m(s)) i(o, s, t); else if (!t.silent) throw new TypeError("Factory, Object, or Array expected") } } } var wl = { epsilon: 1e-12, matrix: "Matrix", number: "number", precision: 64, predictable: !1, randomSeed: null }, Nl = ["Matrix", "Array"], Ml = ["number", "BigNumber", "Fraction"]; function Sl(e, t) { function r(r) { if (r) { var n = Le(e, Fe); El(r, "matrix", Nl), El(r, "number", Ml), function e(t, r) { if (Array.isArray(r)) throw new TypeError("Arrays are not supported by deepExtend"); for (var n in r) if (Ze(r, n) && !(n in Object.prototype) && !(n in Function.prototype)) if (r[n] && r[n].constructor === Object) void 0 === t[n] && (t[n] = {}), t[n] && t[n].constructor === Object ? e(t[n], r[n]) : t[n] = r[n]; else { if (Array.isArray(r[n])) throw new TypeError("Arrays are not supported by deepExtend"); t[n] = r[n] } return t }(e, r); var i = Le(e, Fe), a = Le(r, Fe); return t("config", i, n, a), i } return Le(e, Fe) } return r.MATRIX_OPTIONS = Nl, r.NUMBER_OPTIONS = Ml, Object.keys(wl).forEach((function (t) { Object.defineProperty(r, t, { get: function () { return e[t] }, enumerable: !0, configurable: !0 }) })), r } function El(e, t, r) { var n, i; void 0 !== e[t] && (n = r, i = e[t], -1 === n.indexOf(i)) && console.warn('Warning: Unknown value "' + e[t] + '" for configuration option "' + t + '". Available options: ' + r.map((function (e) { return JSON.stringify(e) })).join(", ") + ".") } function Al() { return (Al = Object.assign || function (e) { for (var t = 1; t < arguments.length; t++) { var r = arguments[t]; for (var n in r) Object.prototype.hasOwnProperty.call(r, n) && (e[n] = r[n]) } return e }).apply(this, arguments) } t.default = function e(t, r) { var n = Al({}, wl, r); if ("function" != typeof Object.create) throw new Error("ES5 not supported by this JavaScript engine. Please load the es5-shim and es5-sham library for compatibility."); var i, H, $ = (i = { isNumber: a, isComplex: s, isBigNumber: o, isFraction: u, isUnit: c, isString: f, isArray: l, isMatrix: p, isCollection: m, isDenseMatrix: h, isSparseMatrix: d, isRange: y, isIndex: g, isBoolean: v, isResultSet: x, isHelp: b, isFunction: w, isDate: N, isRegExp: M, isObject: S, isNull: E, isUndefined: A, isAccessorNode: O, isArrayNode: C, isAssignmentNode: _, isBlockNode: T, isConditionalNode: q, isConstantNode: z, isFunctionAssignmentNode: k, isFunctionNode: I, isIndexNode: B, isNode: D, isObjectNode: R, isOperatorNode: j, isParenthesisNode: P, isRangeNode: U, isSymbolNode: F, isChain: L }, H = new vl.a, i.on = H.on.bind(H), i.off = H.off.bind(H), i.once = H.once.bind(H), i.emit = H.emit.bind(H), i); $.config = Sl(n, $.emit), $.expression = { transform: {}, mathWithTransform: { config: $.config } }; var G = {}, V = bl((function () { for (var e = arguments.length, t = new Array(e), r = 0; r < e; r++)t[r] = arguments[r]; return $.typed.apply($.typed, t) }), 0, $, G); return $.import = V, $.on("config", (function () { We(G).forEach((function (e) { e && e.meta && e.meta.recreateOnConfigChange && V(e, { override: !0 }) })) })), $.create = e.bind(null, t), $.factory = Je, $.import(We(Ge(t))), $.ArgumentsError = fi, $.DimensionError = we, $.IndexError = Ne, $ }(n) }]).default -})); - //# sourceMappingURL=math.js.map \ No newline at end of file diff --git a/src/plugins/calc/meta.json b/src/plugins/calc/meta.json deleted file mode 100644 index 5af0ee0f..00000000 --- a/src/plugins/calc/meta.json +++ /dev/null @@ -1,9 +0,0 @@ -{ - "name": "Calculator", - "description": "Math.JS calculations", - "pattern": "^(=)+", - "exec": "main.js", - "icon": "x-office-spreadsheet", - "fill": "= ", - "examples": "=5+5, =2 liters in quarts" -} \ No newline at end of file diff --git a/src/plugins/files/main.js b/src/plugins/files/main.js deleted file mode 100755 index ee659c0a..00000000 --- a/src/plugins/files/main.js +++ /dev/null @@ -1,240 +0,0 @@ -#!/usr/bin/gjs - -const { GLib, Gio } = imports.gi; - -/** - * Request received by the Pop Shell launcher - * @typedef {Object} LauncherRequest - * @property {'complete' | 'submit' | 'query' | 'quit'} event - * @property {string?} value - * @property {number?} id - */ - -/** - * Selection for Pop Shell to display - * @typedef {Object} Selection - * @property {string} name - * @property {string} icon - * @property {string} description - * @property {number} id - */ - -const STDIN = new Gio.DataInputStream({ base_stream: new Gio.UnixInputStream({ fd: 0 }) }) -const STDOUT = new Gio.DataOutputStream({ base_stream: new Gio.UnixOutputStream({ fd: 1 }) }) - -class App { - constructor() { - /** @type Array */ - this.selections = new Array() - - /** @type string */ - this.parent = "" - - /** @type string */ - this.last_query = "" - } - - /** - * Performs tab completion based on the last-given search query. - * - * @param {number} id - */ - complete(id) { - let text - - const selected = this.selections[id] - if (selected) { - text = selection_path(this.parent, selected) - } else { - text = this.last_query - } - - this.send({ event: "fill", text }) - } - - /** - * Queries the plugin for results from this input - * - * @param {string} input - */ - query(input) { - if (input.startsWith('~')) { - input = GLib.get_home_dir() + input.substr(1) - } - - this.last_query = input - - // Add `/` to query if the input is a directory - this.last_query = (!input.endsWith('/') && Gio.file_new_for_path(input).query_file_type(0, null) === 2) - ? input + '/' - : input - - this.selections.splice(0) - this.parent = GLib.path_get_dirname(this.last_query) - - /** @type string */ - let base = GLib.path_get_basename(this.last_query) - - const show_hidden = base.startsWith('.') - - if (this.parent.endsWith(base)) base = "" - - try { - const dir = Gio.file_new_for_path(this.parent) - if (dir.query_exists(null)) { - const entries = dir.enumerate_children('standard::*', Gio.FileQueryInfoFlags.NONE, null); - let entry; - - while ((entry = entries.next_file(null)) !== null) { - /** @type {string} */ - const name = entry.get_name() - - if (base.length !== 0 && name.toLowerCase().indexOf(base.toLowerCase()) === -1) { - continue - } - - if (!show_hidden && name.startsWith('.')) continue - - const content_type = entry.get_content_type() - const directory = entry.get_file_type() === 2 - - this.selections.push({ - id: 0, - name, - description: GLib.format_size_for_display(entry.get_size()), - content_type, - directory - }) - - if (this.selections.length === 20) break - } - } - - this.selections.sort((a, b) => { - const a_name = a.name.toLowerCase() - const b_name = b.name.toLowerCase() - - const pattern_lower = this.last_query.toLowerCase() - - const a_includes = a_name.includes(pattern_lower) - const b_includes = b_name.includes(pattern_lower) - - return ((a_includes && b_includes) || (!a_includes && !b_includes)) ? (a_name > b_name ? 1 : 0) : a_includes ? -1 : b_includes ? 1 : 0; - }) - - let id = 0 - for (const v of this.selections) { - v.id = id - id += 1 - } - } catch (e) { - log(`QUERY ERROR: ${e} `) - } - - let selections = this.selections.map(s => ({ ...s })) - for (let select of selections) { - delete select.directory - } - - this.send({ event: "queried", selections }) - } - - /** - * Applies an option that the user selected - * - * @param {number} id - */ - submit(id) { - const selected = this.selections[id] - - if (selected) { - const path = selection_path(this.parent, selected) - try { - GLib.spawn_command_line_async(`xdg-open '${path}'`) - } catch (e) { - log(`xdg-open failed: ${e} `) - } - } - - this.send({ event: "close" }) - } - - /** - * Sends message back to Pop Shell - * - * @param {Object} object - */ - send(object) { - STDOUT.write_bytes(new GLib.Bytes(JSON.stringify(object) + "\n"), null) - } -} - -/** - * - * @param {string} parent - * @param {Selection} selection - * @returns {string} - */ -function selection_path(parent, selection) { - let text = parent - + (parent.endsWith("/") ? "" : "/") - + selection.name - - if (selection.directory) text += "/" - - return text -} - -function main() { - /** @type {null | ByteArray} */ - let input_array - - /** @type {string} */ - let input_str - - /** @type {null | LauncherRequest} */ - let event_ - - let app = new App() - - mainloop: - while (true) { - try { - [input_array,] = STDIN.read_line(null) - } catch (e) { - break - } - - input_str = imports.byteArray.toString(input_array) - if ((event_ = parse_event(input_str)) !== null) { - switch (event_.event) { - case "complete": - app.complete(event_.id) - break - case "query": - if (event_.value) app.query(event_.value) - break - case "quit": - break mainloop - case "submit": - if (event_.id !== null) app.submit(event_.id) - } - } - } -} - -/** - * Parses an IPC event received from STDIN - * @param {string} input - * @returns {null | LauncherRequest} - */ -function parse_event(input) { - try { - return JSON.parse(input) - } catch (e) { - log(`Input not valid JSON`) - return null - } -} - -main() diff --git a/src/plugins/files/meta.json b/src/plugins/files/meta.json deleted file mode 100644 index 7923b954..00000000 --- a/src/plugins/files/meta.json +++ /dev/null @@ -1,9 +0,0 @@ -{ - "name": "File Navigation", - "description": "Navigate with tab autocomplete", - "pattern": "^(\/|~).*", - "exec": "main.js", - "icon": "system-file-manager", - "fill": "~/", - "examples": "~/Documents, /mnt/media/Videos" -} \ No newline at end of file diff --git a/src/plugins/pulse/main.js b/src/plugins/pulse/main.js deleted file mode 100755 index 1392ca67..00000000 --- a/src/plugins/pulse/main.js +++ /dev/null @@ -1,242 +0,0 @@ -#!/usr/bin/gjs - -const { GLib, Gio } = imports.gi; - -/** - * Request received by the Pop Shell launcher - * @typedef {Object} LauncherRequest - * @property {'complete' | 'submit' | 'query' | 'quit'} event - * @property {string?} value - * @property {number?} id - */ - -/** - * Selection for Pop Shell to display - * @typedef {Object} Selection - * @property {string} name - * @property {string} icon - * @property {string} description - * @property {number} id - */ - -const STDIN = new Gio.DataInputStream({ base_stream: new Gio.UnixInputStream({ fd: 0 }) }) -const STDOUT = new Gio.DataOutputStream({ base_stream: new Gio.UnixOutputStream({ fd: 1 }) }) - -/** - * @typedef {Object} Sink - * @property {number} id - * @property {string} description - */ - -/** - * @returns {null | Array} - */ -function pactl_sinks() { - try { - const resp = async_process(["pactl", "list", "sinks"]) - if (!resp) return null - - const { proc, stdout } = resp - - let sinks = new Array() - let sink = {} - - while (true) { - const [bytes] = stdout.read_line(null) - if (bytes === null) break - - const line = imports.byteArray.toString(bytes) - if (line.startsWith("Sink")) { - sink.id = line.substr(6) - } else if (line.includes("Description:")) { - sink.description = line.split(' ').slice(1).join(' ') - sinks.push({ ...sink }) - } - } - - return sinks - } catch (e) { - log(`error: ${e}`) - return null - } -} - -class App { - constructor() { - this.last_query = "" - this.shell_only = false - - this.default_selections = [ - { - id: 0, - name: "Toggle Mute", - description: "Silence and unsilence the default audio sink", - }, - - { - id: 1, - name: "Volume Up", - description: "Raise volume 5%" - }, - - { - id: 2, - name: "Volume Down", - description: "Lower volume 5%" - } - ] - } - - complete() { - this.send({ event: "noop" }) - } - - query(input) { - const selections = filter_selections(this.default_selections, input.toLowerCase()) - - - this.send({ event: "queried", selections }) - } - - submit(id) { - let cmd = null - - let sinks = pactl_sinks() - - switch (id) { - case 0: - cmd = ["pactl set-sink-mute", "toggle"] - break - case 1: - cmd = ["pactl set-sink-volume", "+5%"] - break - case 2: - cmd = ["pactl set-sink-volume", "-5%"] - } - - if (cmd) { - try { - for (const { id } of sinks) { - GLib.spawn_command_line_async(`${cmd[0]} ${id} ${cmd[1]}`) - } - - } catch (e) { - log(`session command '${cmd}' failed: ${e}`) - } - } - - this.send({ event: "close" }) - } - - send(object) { - STDOUT.write_bytes(new GLib.Bytes(JSON.stringify(object) + "\n"), null) - } -} - -function main() { - /** @type {null | ByteArray} */ - let input_array - - /** @type {string} */ - let input_str - - /** @type {null | LauncherRequest} */ - let event_ - - let app = new App() - - mainloop: - while (true) { - try { - [input_array,] = STDIN.read_line(null) - } catch (e) { - break - } - - input_str = imports.byteArray.toString(input_array) - if ((event_ = parse_event(input_str)) !== null) { - switch (event_.event) { - case "complete": - app.complete() - break - case "query": - if (typeof event_.value !== 'undefined') app.query(event_.value) - break - case "quit": - break mainloop - case "submit": - if (event_.id !== null) app.submit(event_.id) - } - } - } -} - -/** - * Parses an IPC event received from STDIN - * @param {string} input - * @returns {null | LauncherRequest} - */ -function parse_event(input) { - try { - return JSON.parse(input) - } catch (e) { - log(`Input not valid JSON`) - return null - } -} - -/** - * - * @param {Array} argv - * @returns {null | Process} - */ -function async_process(argv) { - const { DataInputStream, SubprocessFlags, SubprocessLauncher } = Gio - - try { - const launcher = new SubprocessLauncher({ - flags: SubprocessFlags.STDIN_PIPE - | SubprocessFlags.STDOUT_PIPE - }) - - const proc = launcher.spawnv(argv) - let stdout = new DataInputStream({ - base_stream: proc.get_stdout_pipe(), - close_base_stream: true - }) - - return { proc, stdout } - } catch (e) { - log(`failed to spawn process: ${argv}\n\tCaused by: ${e}`) - return null - } -} - -function filter_selections(initial, input) { - if (input.length === 0) return [] - let selections = initial.map(v => ({ ...v })) - - let remove = new Array() - for (let id = 0; id < selections.length; id += 1) { - const { name, description } = selections[id] - if (name.toLowerCase().includes(input) || description.toLowerCase().includes(input)) continue - remove.push(id) - } - - for (const id of remove.reverse()) swap_remove(selections, id) - - return selections -} - -/** - * - * @param {Array} array - * @param {number} index - * @returns {T | undefined} - */ -function swap_remove(array, index) { - array[index] = array[array.length - 1]; - return array.pop(); -} - -main() \ No newline at end of file diff --git a/src/plugins/pulse/meta.json b/src/plugins/pulse/meta.json deleted file mode 100644 index 9340e117..00000000 --- a/src/plugins/pulse/meta.json +++ /dev/null @@ -1,6 +0,0 @@ -{ - "name": "PulseAudio Volume Control", - "description": "Control PulseAudio devices and volume", - "exec": "main.js", - "icon": "multimedia-volume-control" -} \ No newline at end of file diff --git a/src/plugins/recent/main.js b/src/plugins/recent/main.js deleted file mode 100755 index 0d19dcd7..00000000 --- a/src/plugins/recent/main.js +++ /dev/null @@ -1,167 +0,0 @@ -#!/usr/bin/gjs - -const { GLib, Gio, Gtk } = imports.gi - -/** - * Request received by the Pop Shell launcher - * @typedef {Object} LauncherRequest - * @property {'complete' | 'submit' | 'query' | 'quit'} event - * @property {string?} value - * @property {number?} id - */ - -/** - * Selection for Pop Shell to display - * @typedef {Object} Selection - * @property {string} name - * @property {string} icon - * @property {string} description - * @property {number} id - */ - -/** - * @typedef {Object} RecentItem - * @property {string} display_name - * @property {string} mime, - * @property {string} uri - */ - -const STDIN = new Gio.DataInputStream({ base_stream: new Gio.UnixInputStream({ fd: 0 }) }) -const STDOUT = new Gio.DataOutputStream({ base_stream: new Gio.UnixOutputStream({ fd: 1 }) }) - -class App { - constructor() { - this.last_query = "" - this.manager = Gtk.RecentManager.get_default() - this.results = new Array() - } - - /** - * @returns {undefined | Array} - */ - items() { - const recent_items = this.manager.get_items() - - if (!recent_items) { return undefined } - - const items = recent_items - .filter(item => item.exists()) - .map(item => { - return { - display_name: item.get_display_name(), - mime: item.get_mime_type(), - uri: item.get_uri() - } - }) - - return items - } - - complete() { - this.send({ event: "noop" }) - } - - query(input) { - input = input.substr(input.indexOf(" ") + 1).trim() - - const items = this.items() - - let selections = new Array() - - if (items) { - const normalized = input.toLowerCase() - - this.results = items - .filter(item => item.display_name.toLowerCase().includes(normalized)) - .sort((a, b) => a.display_name.localeCompare(b.display_name)) - .slice(0, 7) - - let id = 0 - - for (const item of this.results) { - selections.push({ - name: item.display_name, - description: decodeURI(item.uri), - content_type: item.mime, - id - }) - - id += 1 - } - } - - this.send({ event: "queried", selections }) - } - - submit(id) { - const result = this.results[id] - - if (result) { - try { - GLib.spawn_command_line_async(`xdg-open '${result.uri}'`) - } catch (e) { - log(`xdg-open failed: ${e}`) - } - } - - this.send({ event: "close" }) - } - - send(object) { - STDOUT.write_bytes(new GLib.Bytes(JSON.stringify(object) + "\n"), null) - } -} - -function main() { - /** @type {null | ByteArray} */ - let input_array - - /** @type {string} */ - let input_str - - /** @type {null | LauncherRequest} */ - let event_ - - let app = new App() - - mainloop: - while (true) { - try { - [input_array,] = STDIN.read_line(null) - } catch (e) { - break - } - - input_str = imports.byteArray.toString(input_array) - if ((event_ = parse_event(input_str)) !== null) { - switch (event_.event) { - case "complete": - app.complete() - break - case "query": - if (event_.value) app.query(event_.value) - break - case "quit": - break mainloop - case "submit": - if (event_.id !== null) app.submit(event_.id) - } - } - } -} - -/** - * Parses an IPC event received from STDIN - * @param {string} input - * @returns {null | LauncherRequest} - */ -function parse_event(input) { - try { - return JSON.parse(input) - } catch (e) { - log(`Input not valid JSON`) - return null - } -} - -main() diff --git a/src/plugins/recent/meta.json b/src/plugins/recent/meta.json deleted file mode 100644 index caaa768d..00000000 --- a/src/plugins/recent/meta.json +++ /dev/null @@ -1,9 +0,0 @@ -{ - "name": "Recent Documents", - "description": "Show recently-opened files", - "pattern": "^(recent)\\s.*", - "examples": "recent COSMIC", - "fill": "recent ", - "exec": "main.js", - "icon": "system-file-manager" -} \ No newline at end of file diff --git a/src/plugins/terminal/main.js b/src/plugins/terminal/main.js deleted file mode 100755 index 74463405..00000000 --- a/src/plugins/terminal/main.js +++ /dev/null @@ -1,139 +0,0 @@ -#!/usr/bin/gjs - -const { GLib, Gio } = imports.gi; - -/** - * Request received by the Pop Shell launcher - * @typedef {Object} LauncherRequest - * @property {'complete' | 'submit' | 'query' | 'quit'} event - * @property {string?} value - * @property {number?} id - */ - -/** - * Selection for Pop Shell to display - * @typedef {Object} Selection - * @property {string} name - * @property {string} icon - * @property {string} description - * @property {number} id - */ - -const STDIN = new Gio.DataInputStream({ base_stream: new Gio.UnixInputStream({ fd: 0 }) }) -const STDOUT = new Gio.DataOutputStream({ base_stream: new Gio.UnixOutputStream({ fd: 1 }) }) - -class App { - constructor() { - this.last_query = "" - this.shell_only = false - } - - complete() { - this.send({ event: "noop" }) - } - - /** @param {string} input */ - query(input) { - if (input.startsWith(':')) { - this.shell_only = true - this.last_query = input.substr(1).trim() - } else { - this.shell_only = false - this.last_query = input.startsWith('t:') - ? input.substr(2).trim() - : input.substr(input.indexOf(" ") + 1).trim() - } - - - let selections = [{ - id: 0, - name: this.last_query, - description: "run command in terminal", - }] - - this.send({ event: "queried", selections }) - } - - /** @param {number} _id */ - submit(_id) { - try { - let runner - if (this.shell_only) { - runner = "" - } else { - let path = GLib.find_program_in_path('x-terminal-emulator'); - let [terminal, splitter] = path ? [path, "-e"] : ["gnome-terminal", "--"]; - runner = `${terminal} ${splitter} ` - } - - GLib.spawn_command_line_async(`${runner}sh -c '${this.last_query}; echo "Press to exit"; read t'`); - } catch (e) { - log(`command launch error: ${e}`) - } - - this.send({ event: "close" }) - } - - /** @param {Object} object */ - send(object) { - try { - STDOUT.write_bytes(new GLib.Bytes(JSON.stringify(object) + "\n"), null) - } catch (e) { - log(`failed to send response to Pop Shell: ${e}`) - } - } -} - -function main() { - /** @type {null | ByteArray} */ - let input_array - - /** @type {string} */ - let input_str - - /** @type {null | LauncherRequest} */ - let event_ - - let app = new App() - - mainloop: - while (true) { - try { - [input_array,] = STDIN.read_line(null) - } catch (e) { - break - } - - input_str = imports.byteArray.toString(input_array) - if ((event_ = parse_event(input_str)) !== null) { - switch (event_.event) { - case "complete": - app.complete() - break - case "query": - if (event_.value) app.query(event_.value) - break - case "quit": - break mainloop - case "submit": - if (event_.id !== null) app.submit(event_.id) - } - } - } -} - -/** - * Parses an IPC event received from STDIN - * @param {string} input - * @returns {null | LauncherRequest} - */ -function parse_event(input) { - try { - return JSON.parse(input) - } catch (e) { - log(`Input not valid JSON`) - return null - } -} - -main() \ No newline at end of file diff --git a/src/plugins/terminal/meta.json b/src/plugins/terminal/meta.json deleted file mode 100644 index 0c28d5a4..00000000 --- a/src/plugins/terminal/meta.json +++ /dev/null @@ -1,9 +0,0 @@ -{ - "name": "Terminal Commands", - "description": "Run commands in a terminal", - "pattern": "^(:|t:|run ).*", - "exec": "main.js", - "icon": "utilities-terminal", - "fill": "run ", - "examples": "run cmd, t:cmd, t cmd" -} \ No newline at end of file diff --git a/src/plugins/web/main.js b/src/plugins/web/main.js deleted file mode 100644 index 8736bd9e..00000000 --- a/src/plugins/web/main.js +++ /dev/null @@ -1,137 +0,0 @@ -#!/usr/bin/env gjs - -const { GLib, Gio } = imports.gi - -const STDIN = new Gio.DataInputStream({ base_stream: new Gio.UnixInputStream({ fd: 0 }) }) -const STDOUT = new Gio.DataOutputStream({ base_stream: new Gio.UnixOutputStream({ fd: 1 }) }) - -const ENTRIES = new Map([ - ['wiki', { query: 'https://wikipedia.org/w/index.php?search=', name: 'Wikipedia' }], - ['bing', { query: 'https://www.bing.com/search?q=', name: 'Bing' }], - ['ddg', { query: 'https://www.duckduckgo.com/?q=', name: 'DuckDuckGo' }], - ['google', { query: 'https://www.google.com/search?q=', name: 'Google' }], - ['yt', { query: 'https://www.youtube.com/results?search_query=', name: 'YouTube' }], - ['amazon', { query: 'https://smile.amazon.com/s?k=', name: 'Amazon' }], - ['stack', { query: 'https://stackoverflow.com/search?q=', name: 'Stack Overflow' }], - ['crates', { query: 'https://crates.io/search?q=', name: 'Crates.io' }], - ['rdt', { query: 'https://www.reddit.com/search/?q=', name: 'reddit' }], - ['arch', { query: 'https://wiki.archlinux.org/index.php/', name: 'Arch Wiki' }], - ['pp', { query: 'https://pop-planet.info/forums/search/1/?q=', name: 'Pop!_Planet' }], - ['ppw', { query: 'https://pop-planet.info/wiki/?search=', name: 'Pop!_Planet Wiki' }], - ['bc', { query: 'https://bandcamp.com/search?q=', name: 'Bandcamp' }], - ['npm', { query: 'https://www.npmjs.com/search?q=', name: 'npm' }], - ['lib', { query: 'https://libraries.io/search?q=', name: 'Libraries.io' }], - ['gist', { query: 'https://gist.github.com/search?q=', name: 'GitHub Gist' }], - ['fh', { query: 'https://flathub.org/apps/search/', name: 'Flathub' }], - ['gh', { query: 'https://github.com/search?q=', name: 'GitHub' }], - ['sdcl', { query: 'https://soundcloud.com/search?q=', name: 'SoundCloud' }], - ['twitch', { query: 'https://www.twitch.tv/search?term=', name: 'Twitch' }], - ['yh', { query: 'https://search.yahoo.com/search?p=', name: 'Yahoo!' }], - ['alie', { query: 'https://www.aliexpress.com/wholesale?SearchText=', name: 'AliExpress' }], - ['dev', { query: 'https://dev.to/search?q=', name: 'DEV Community' }] -]) - -class App { - constructor() { - this.last_query = '' - this.last_value = '' - this.query_base = '' - this.name_base = '' - this.app_info = Gio.AppInfo.get_default_for_uri_scheme('https') - } - - complete() { - this.send({ event: "noop" }) - } - - build_query() { - return `${this.query_base}${encodeURIComponent(this.last_query)}` - } - - query(input) { - const delim_position = input.indexOf(' ') - const key = input.substring(0, delim_position) - this.last_query = input.substr(delim_position + 1).trim() - - const entry = ENTRIES.get(key) || { query: 'https://www.duckduckgo.com/?q=', name: 'DuckDuckGo' } - this.query_base = entry.query; - this.name_base = entry.name; - - const selections = [{ - id: 0, - description: this.build_query(), - name: `${this.name_base}: ${this.last_query}`, - icon: this.app_info.get_icon().to_string(), - }] - - this.send({ event: "queried", selections }) - } - - submit(_id) { - try { - GLib.spawn_command_line_async(`xdg-open ${this.build_query()}`) - } catch (e) { - log(`xdg-open failed: ${e} `) - } - - this.send({ event: "close" }) - } - - send(object) { - STDOUT.write_bytes(new GLib.Bytes(JSON.stringify(object) + "\n"), null) - } -} - -function main() { - /** @type {null | ByteArray} */ - let input_array - - /** @type {string} */ - let input_str - - /** @type {null | LauncherRequest} */ - let event_ - - let app = new App() - - mainloop: - while (true) { - try { - [input_array,] = STDIN.read_line(null) - } catch (e) { - break - } - - input_str = imports.byteArray.toString(input_array) - if ((event_ = parse_event(input_str)) !== null) { - switch (event_.event) { - case "complete": - app.complete() - break - case "query": - if (event_.value) app.query(event_.value) - break - case "quit": - break mainloop - case "submit": - if (event_.id !== null) app.submit(event_.id) - } - } - } -} - -/** - * Parses an IPC event received from STDIN - * @param {string} input - * @returns {null | LauncherRequest} - */ -function parse_event(input) { - try { - return JSON.parse(input) - } catch (e) { - log(`Input not valid JSON`) - return null - } -} - -main() diff --git a/src/plugins/web/meta.json b/src/plugins/web/meta.json deleted file mode 100644 index d6b66b41..00000000 --- a/src/plugins/web/meta.json +++ /dev/null @@ -1,9 +0,0 @@ -{ - "name": "Web Search", - "description": "Site-specific web search", - "pattern": "^(amazon|wiki|bing|ddg|google|yt|stack|crates|arch|pp|ppw|rdt|bc|lib|npm|gist|fh|gh|dev|sdcl|twitch|yh|alie)\\s.*", - "exec": "main.js", - "icon": "system-search", - "fill": "ddg ", - "examples": "ddg search, yt video, amazon product" -} diff --git a/src/scripts/session-logout.sh b/src/scripts/session-logout.sh deleted file mode 100644 index 25b16005..00000000 --- a/src/scripts/session-logout.sh +++ /dev/null @@ -1,8 +0,0 @@ -#!/bin/sh -# -# name: Log Out -# icon: system-log-out -# description: Log out to the login screen -# keywords: log out logout - -gnome-session-quit --logout diff --git a/src/scripts/session-reboot.sh b/src/scripts/session-reboot.sh deleted file mode 100644 index c57edd6f..00000000 --- a/src/scripts/session-reboot.sh +++ /dev/null @@ -1,8 +0,0 @@ -#!/bin/sh -# -# name: Restart -# icon: system-restart -# description: Reboot the system -# keywords: power reboot restart - -gnome-session-quit --reboot \ No newline at end of file diff --git a/src/scripts/session-shutdown.sh b/src/scripts/session-shutdown.sh deleted file mode 100644 index 3b8f939c..00000000 --- a/src/scripts/session-shutdown.sh +++ /dev/null @@ -1,8 +0,0 @@ -#!/bin/sh -# -# name: Power off -# icon: system-shutdown -# description: Shut down the system -# keywords: power off shutdown - -gnome-session-quit --power-off \ No newline at end of file diff --git a/src/scripts/session-suspend.sh b/src/scripts/session-suspend.sh deleted file mode 100644 index fa1f1015..00000000 --- a/src/scripts/session-suspend.sh +++ /dev/null @@ -1,8 +0,0 @@ -#!/bin/sh -# -# name: Suspend -# icon: system-suspend -# description: Suspend the system -# keywords: suspend - -systemctl suspend \ No newline at end of file diff --git a/src/scripts_system76/graphics-compute.sh b/src/scripts_system76/graphics-compute.sh deleted file mode 100644 index ef415d10..00000000 --- a/src/scripts_system76/graphics-compute.sh +++ /dev/null @@ -1,16 +0,0 @@ -#!/bin/sh -# -# name: Switch to Compute Graphics -# icon: preferences-system-symbolic -# description: Use integrated GPU for display; discrete for CUDA / OpenCL -# keywords: compute graphics switch nvidia - -gnome-terminal -- sh -c ' - if system76-power graphics compute; then - echo "Succesfully switched. You may now reboot" - else - echo "Failed to switch\nPress key to exit" - fi - - read x -' \ No newline at end of file diff --git a/src/scripts_system76/graphics-discrete.sh b/src/scripts_system76/graphics-discrete.sh deleted file mode 100644 index e58ee084..00000000 --- a/src/scripts_system76/graphics-discrete.sh +++ /dev/null @@ -1,16 +0,0 @@ -#!/bin/sh -# -# name: Switch to NVIDIA Graphics -# icon: preferences-system-symbolic -# description: Use NVIDIA GPU for display and applications -# keywords: nvidia graphics switch - -gnome-terminal -- sh -c ' - if system76-power graphics nvidia; then - echo "Succesfully switched. You may now reboot" - else - echo "Failed to switch\nPress key to exit" - fi - - read x -' \ No newline at end of file diff --git a/src/scripts_system76/graphics-hybrid.sh b/src/scripts_system76/graphics-hybrid.sh deleted file mode 100644 index 7c60928a..00000000 --- a/src/scripts_system76/graphics-hybrid.sh +++ /dev/null @@ -1,16 +0,0 @@ -#!/bin/sh -# -# name: Switch to Hybrid Graphics -# icon: preferences-system-symbolic -# description: Use integrated GPU for display; applications may request discrete -# keywords: integrated graphics switch intel nvidia hybrid - -gnome-terminal -- sh -c ' - if system76-power graphics hybrid; then - echo "Succesfully switched. You may now reboot" - else - echo "Failed to switch\nPress key to exit" - fi - - read x -' \ No newline at end of file diff --git a/src/scripts_system76/graphics-integrated.sh b/src/scripts_system76/graphics-integrated.sh deleted file mode 100644 index ba60b94d..00000000 --- a/src/scripts_system76/graphics-integrated.sh +++ /dev/null @@ -1,16 +0,0 @@ -#!/bin/sh -# -# name: Switch to Integrated Graphics -# icon: preferences-system-symbolic -# description: Use integrated GPU for display and applications -# keywords: integrated graphics switch intel - -gnome-terminal -- sh -c ' - if system76-power graphics integrated; then - echo "Succesfully switched. You may now reboot" - else - echo "Failed to switch\nPress key to exit" - fi - - read x -' \ No newline at end of file diff --git a/src/dialog_search.ts b/src/search.ts similarity index 56% rename from src/dialog_search.ts rename to src/search.ts index ae499ada..49cee7dd 100644 --- a/src/dialog_search.ts +++ b/src/search.ts @@ -4,11 +4,12 @@ const Me = imports.misc.extensionUtils.getCurrentExtension(); import * as Lib from 'lib'; import * as rect from 'rectangle'; -import { SearchOption } from 'launcher_service'; +import type { Ext } from 'extension' +import type { JsonIPC } from 'launcher_service' const GLib: GLib = imports.gi.GLib; -const { Clutter, Shell, St } = imports.gi; +const { Clutter, Gio, Pango, Shell, St } = imports.gi; const { ModalDialog } = imports.ui.modalDialog; const { overview, wm } = imports.ui.main; @@ -32,27 +33,16 @@ export class Search { private text: Clutter.Text; private widgets: Array; private scroller: St.Widget; + private children_to_abandon: any = null; - private apply_cb: (index: number) => boolean; - private cancel_cb: () => void; - private complete_cb: () => boolean; - private select_cb: (id: number) => void; - private quit_cb: (id: number) => void; - - constructor( - cancel: () => void, - search: (pattern: string) => Array | null, - complete: () => boolean, - select: (id: number) => void, - apply: (index: number) => boolean, - quit: (index: number) => void - ) { - this.apply_cb = apply; - this.cancel_cb = cancel; - this.complete_cb = complete; - this.select_cb = select; - this.quit_cb = quit; + activate_id: (index: number) => void = () => {} + cancel: () => void = () => {} + complete: () => void = () => {} + search: (search: string) => void = () => {} + select: (id: number) => void = () => {} + quit: (id: number) => void = () => {} + constructor() { this.active_id = 0; this.widgets = []; this.entry = new St.Entry({ @@ -69,7 +59,7 @@ export class Search { let text_changed: null | number = null; - this.text.connect("activate", () => this.activate_option(this.active_id)); + this.text.connect("activate", () => this.activate_id(this.active_id)); this.text.connect("text-changed", (entry: any) => { if (text_changed !== null) GLib.source_remove(text_changed) @@ -78,8 +68,7 @@ export class Search { const update = () => { this.clear() - const update = search(text) - if (update) this.update_search_list(update) + this.search(text) } if (text.length === 0) { @@ -87,7 +76,7 @@ export class Search { return } - text_changed = GLib.timeout_add(GLib.PRIORITY_DEFAULT, 100, () => { + text_changed = GLib.timeout_add(GLib.PRIORITY_DEFAULT, 0, () => { text_changed = null update() return false; @@ -105,13 +94,12 @@ export class Search { // Escape key was pressed this.reset(); this.close(); - cancel(); + this.cancel(); return; } else if (c === 65289) { // Tab was pressed, check for tab completion - if(this.complete_cb()){ - return; - } + this.complete() + return; } let s = event.get_state(); @@ -132,39 +120,39 @@ export class Search { this.select_id(0) } } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 49) { - this.activate_option(0) + this.activate_id(0) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 50) { - this.activate_option(1) + this.activate_id(1) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 51) { - this.activate_option(2) + this.activate_id(2) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 52) { - this.activate_option(3) + this.activate_id(3) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 53) { - this.activate_option(4) + this.activate_id(4) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 54) { - this.activate_option(5) + this.activate_id(5) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 55) { - this.activate_option(6) + this.activate_id(6) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 56) { - this.activate_option(7) + this.activate_id(7) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 57) { - this.activate_option(8) + this.activate_id(8) return } else if (s == Clutter.ModifierType.CONTROL_MASK && c == 113) { // Ctrl + Q shall quit the selected application - this.quit_cb(this.active_id) + this.quit(this.active_id) return } - this.select_cb(this.active_id); + this.select(this.active_id); }); this.list = new St.BoxLayout({ @@ -195,35 +183,33 @@ export class Search { if (close) { this.reset() this.close() - this.cancel_cb() + this.cancel() } return Clutter.EVENT_PROPAGATE; }) - this.dialog.connect('destroy', () => { - global.stage.disconnect(id) - }) + this.dialog.connect('closed', () => this.cancel()) + this.dialog.connect('destroy', () => global.stage.disconnect(id)) } - activate_option(id: number) { - const cont = this.apply_cb(id); - - if (!cont) { - this.reset(); - this.close(); - this.cancel_cb(); + cleanup() { + if (this.children_to_abandon) { + for (const child of this.children_to_abandon) { + child.destroy(); + } + this.children_to_abandon = null } } clear() { - this.list.remove_all_children(); - this.list.hide(); + this.children_to_abandon = (this.list as any).get_children(); this.widgets = []; this.active_id = 0; } close() { + this.reset() this.remove_injections() this.dialog.close(global.get_current_time()) @@ -242,7 +228,7 @@ export class Search { if (this.dialog.is_visible()) { this.reset(); this.close(); - this.cancel_cb(); + this.cancel(); } else { this.remove_injections() overview.toggle() @@ -271,65 +257,61 @@ export class Search { this.entry.grab_key_focus(); } - select() { + highlight_selected() { const widget = this.widgets[this.active_id] - widget.add_style_pseudo_class("select") + if (widget) { + widget.add_style_pseudo_class("select") - try { - imports.misc.util.ensureActorVisibleInScrollView(this.scroller, widget) - } catch (_error) { + try { + imports.misc.util.ensureActorVisibleInScrollView(this.scroller, widget) + } catch (_error) { + } } } select_id(id: number) { this.unselect(); this.active_id = id; - this.select(); + this.highlight_selected(); } unselect() { - this.widgets[this.active_id].remove_style_pseudo_class( - "select" - ); + this.widgets[this.active_id]?.remove_style_pseudo_class("select"); } - update_search_list(list: Array) { + append_search_option(option: SearchOption) { + const id = this.widgets.length + + if (id !== 0) { + this.list.add(Lib.separator()) + } + + const { widget, shortcut } = option; + + if (id < 9) { + (shortcut as any).set_text(`Ctrl + ${id + 1}`); + (shortcut as any).show() + } else { + (shortcut as any).hide() + } + let initial_cursor = Lib.cursor_rect() - Lib.join( - list.values(), - (option: SearchOption) => { - const id = this.widgets.length; - - const { widget, shortcut } = option; - - if (id < 9) { - (shortcut as any).set_text(`Ctrl + ${id + 1}`); - (shortcut as any).show() - } else { - (shortcut as any).hide() - } - widget.connect('clicked', () => this.activate_option(id)) - widget.connect('notify::hover', () => { - const { x, y } = Lib.cursor_rect() - if ( x === initial_cursor.x && y === initial_cursor.y) return - this.select_id(id) - this.select_cb(id) - }) + widget.connect('clicked', () => this.activate_id(id)) + widget.connect('notify::hover', () => { + const { x, y } = Lib.cursor_rect() + if ( x === initial_cursor.x && y === initial_cursor.y) return + this.select_id(id) + this.select(id) + }) - this.widgets.push(widget); - this.list.add(widget); + this.widgets.push(widget); + this.list.add(widget); - }, - () => this.list.add(Lib.separator()) - ); + this.cleanup() this.list.show(); - if (this.widgets.length != 0) { - this.select(); - this.select_cb(0); - } const vscroll = (this.scroller as any).get_vscroll_bar() if ((this.scroller as any).vscrollbar_visible) { @@ -337,6 +319,14 @@ export class Search { } else { vscroll.hide() } + + if (id === 0) { + GLib.idle_add(GLib.PRIORITY_DEFAULT, () => { + this.highlight_selected(); + this.select(0); + return false + }) + } } set_text(text: string) { @@ -350,3 +340,91 @@ export class Search { } } } + +export class SearchOption { + title: string + description: null | string + exec: null | string + keywords: null | Array + + widget: St.Button + + shortcut: St.Widget = new St.Label({ text: "", y_align: Clutter.ActorAlign.CENTER, style: "padding-left: 6px;padding-right: 6px" }) + + constructor(ext: Ext, title: string, description: null | string, category_icon: null | JsonIPC.IconSource, icon: null | JsonIPC.IconSource, icon_size: number, + exec: null | string, keywords: null | Array) { + this.title = title + this.description = description + this.exec = exec + this.keywords = keywords + + const layout = new St.BoxLayout({}) + + attach_icon(layout, category_icon, icon_size / 2, ext) + + const label = new St.Label({ text: title }) + label.clutter_text.set_ellipsize(Pango.EllipsizeMode.END) + + attach_icon(layout, icon, icon_size, ext) + + const info_box = new St.BoxLayout({ y_align: Clutter.ActorAlign.CENTER, vertical: true, x_expand: true }); + info_box.add_child(label) + + if (description) { + info_box.add_child(new St.Label({ text: description, style: "font-size: small" })) + } + + layout.add_child(info_box) + layout.add_child(this.shortcut) + + this.widget = new St.Button({ style_class: "pop-shell-search-element" }); + (this.widget as any).add_actor(layout) + } +} + +function attach_icon(layout: any, icon: null | JsonIPC.IconSource, icon_size: number, ext: Ext) { + if (icon) { + const generated = generate_icon(icon, icon_size, ext) + + if (generated) { + generated.set_y_align(Clutter.ActorAlign.CENTER) + layout.add_child(generated) + } + } +} + +function generate_icon(icon: JsonIPC.IconSource, icon_size: number, ext: Ext): null | St.Widget { + let app_icon = null; + + if ("Name" in icon) { + const file = Gio.File.new_for_path(icon.Name) + + if (file.query_exists(null)) { + app_icon = new St.Icon({ + gicon: Gio.icon_new_for_string(icon.Name), + icon_size, + }) + } else { + app_icon = new St.Icon({ + icon_name: icon.Name, + icon_size, + }) + } + } else if ("Mime" in icon) { + app_icon = new St.Icon({ + gicon: Gio.content_type_get_icon(icon.Mime), + icon_size, + }) + } else if ("Window" in icon) { + const window = ext.windows.get(icon.Window); + if (window) { + app_icon = window.icon(ext, icon_size); + } + } + + if (app_icon) { + (app_icon as any).style_class = "pop-shell-search-icon" + } + + return app_icon +} \ No newline at end of file diff --git a/src/stack.ts b/src/stack.ts index 2ea1ec37..8c43cc80 100644 --- a/src/stack.ts +++ b/src/stack.ts @@ -554,9 +554,7 @@ export class Stack { const actor = window.meta.get_compositor_private(); if (actor) { actor.show(); - window.meta.raise(); - window.meta.unminimize(); - window.meta.activate(global.get_current_time()); + window.activate(false) this.reposition(); diff --git a/src/tiling.ts b/src/tiling.ts index dd69acde..42756424 100644 --- a/src/tiling.ts +++ b/src/tiling.ts @@ -198,7 +198,7 @@ export class Tiler { if (focused.meta.is_fullscreen()) { focused.meta.unmake_fullscreen(); } - + // The window that the focused window is being moved onto const move_to = focus(); @@ -451,9 +451,7 @@ export class Tiler { ext.register_fn(() => { if (window) { ext.set_overlay(window.rect()); - window.meta.raise(); - window.meta.unminimize(); - window.meta.activate(global.get_current_time()); + window.activate(false) } }); }); diff --git a/src/utils.ts b/src/utils.ts index 615be75b..427e26a6 100644 --- a/src/utils.ts +++ b/src/utils.ts @@ -110,6 +110,7 @@ export function async_process(argv: Array, input = null, cancellable = n } export type AsyncIPC = { + child: any, stdout: any, stdin: any, } @@ -122,19 +123,26 @@ export function async_process_ipc(argv: Array): AsyncIPC | null { | SubprocessFlags.STDOUT_PIPE }) - const proc = launcher.spawnv(argv) + let child + + try { + child = launcher.spawnv(argv) + } catch (why) { + log.error(`failed to spawn ${argv}: ${why}`) + return null + } let stdin = new Gio.DataOutputStream({ - base_stream: proc.get_stdin_pipe(), + base_stream: child.get_stdin_pipe(), close_base_stream: true }) let stdout = new Gio.DataInputStream({ - base_stream: proc.get_stdout_pipe(), + base_stream: child.get_stdout_pipe(), close_base_stream: true }) - return { stdin, stdout } + return { child, stdin, stdout } } export function map_eq(map1: Map, map2: Map) { diff --git a/src/window.ts b/src/window.ts index 8d116af5..a44174b6 100644 --- a/src/window.ts +++ b/src/window.ts @@ -112,8 +112,8 @@ export class ShellWindow { } - activate(): void { - activate(this.ext.conf.default_pointer_position, this.meta); + activate(move_mouse: boolean = true): void { + activate(move_mouse, this.ext.conf.default_pointer_position, this.meta); } actor_exists(): boolean { @@ -253,8 +253,14 @@ export class ShellWindow { } is_single_max_screen(): boolean { - let monitor_count = this.meta.get_display().get_n_monitors(); - return (this.is_maximized() || this.smart_gapped) && monitor_count == 1; + const display = this.meta.get_display() + + if (display) { + let monitor_count = display.get_n_monitors(); + return (this.is_maximized() || this.smart_gapped) && monitor_count == 1; + } + + return false } is_snap_edge(): boolean { @@ -435,8 +441,8 @@ export class ShellWindow { */ restack(updateState: RESTACK_STATE = RESTACK_STATE.NORMAL) { this.update_border_layout(); - if (this.meta.is_fullscreen() || - (this.is_single_max_screen() && !this.is_snap_edge()) || + if (this.meta.is_fullscreen() || + (this.is_single_max_screen() && !this.is_snap_edge()) || this.meta.minimized) { this.hide_border() } @@ -598,12 +604,15 @@ export class ShellWindow { } /// Activates a window, and moves the mouse point. -export function activate(default_pointer_position: Config.DefaultPointerPosition, win: Meta.Window) { - win.raise(); +export function activate(move_mouse: boolean, default_pointer_position: Config.DefaultPointerPosition, win: Meta.Window) { + const workspace = win.get_workspace() + if (!workspace) return + win.unminimize(); - win.activate(global.get_current_time()); + workspace.activate_with_focus(win, global.get_current_time()) + win.raise() - if (!pointer_already_on_window(win)) { + if (move_mouse && !pointer_already_on_window(win)) { place_pointer_on(default_pointer_position, win) } }