|
| 1 | +# Tower Parsing & Layout Algorithm |
| 2 | + |
| 3 | +This document describes a **stack-based post-order traversal** that computes each brick’s SVG path, |
| 4 | +bounding box, and notch‐connection points **after** all of its children have been measured. It |
| 5 | +handles arbitrarily deep nesting, distinguishes **expression** vs. **simple** vs. **compound** |
| 6 | +bricks, and avoids JavaScript call‐stack limits. |
| 7 | + |
| 8 | +--- |
| 9 | + |
| 10 | +## Data Structures |
| 11 | + |
| 12 | +```ts |
| 13 | +// Represents one node in the tree (only UUID is needed here) |
| 14 | +type TreeNode = { |
| 15 | + uuid: string |
| 16 | +} |
| 17 | + |
| 18 | +// Holds the computed metrics for a brick |
| 19 | +type Metrics = { |
| 20 | + path: string |
| 21 | + bbox: { w: number; h: number } |
| 22 | + connectionPoints: ConnectionPoints |
| 23 | +} |
| 24 | + |
| 25 | +// Frame in our explicit stack |
| 26 | +type Frame = { |
| 27 | + node: TreeNode |
| 28 | + visited: boolean |
| 29 | +} |
| 30 | + |
| 31 | +// Work‐in‐progress structures |
| 32 | +const metricsMap: Map<string, Metrics> = new Map() |
| 33 | +const stack: Frame[] = [] |
| 34 | +``` |
| 35 | + |
| 36 | +The model must expose: |
| 37 | + |
| 38 | +```ts |
| 39 | +getRoots(): string[] |
| 40 | + |
| 41 | +getBrickType(uuid: string): 'expression' | 'simple' | 'compound' |
| 42 | + |
| 43 | +getExpressionArgs(uuid: string): string[] |
| 44 | + |
| 45 | +getNestedBlocks(uuid: string): string[] |
| 46 | + |
| 47 | +// Optionally for simple/compound |
| 48 | +type StatementChildren = { top: string; bottom: string } |
| 49 | +getStatementChildren(uuid: string): StatementChildren |
| 50 | + |
| 51 | +getBrickProps(uuid: string): { |
| 52 | + label: string |
| 53 | + type: 'expression' | 'simple' | 'compound' |
| 54 | + strokeWidth: number |
| 55 | + scale: number |
| 56 | + topNotch: boolean |
| 57 | + bottomNotch: boolean |
| 58 | + fontSize: number |
| 59 | +} |
| 60 | +``` |
| 61 | + |
| 62 | +Shared utilities: |
| 63 | + |
| 64 | +```ts |
| 65 | +generatePath(config): string |
| 66 | +getBoundingBox(config): { w: number; h: number } |
| 67 | +deriveNotches(path, bbox): ConnectionPoints |
| 68 | +measureLabel(text, fontSize): { w: number; h: number; ascent: number; descent: number } |
| 69 | +``` |
| 70 | + |
| 71 | +--- |
| 72 | + |
| 73 | +## Algorithm Steps |
| 74 | + |
| 75 | +1. **Initialize Work Structures** |
| 76 | + |
| 77 | + - Empty metrics map |
| 78 | + |
| 79 | + ```pseudo |
| 80 | + metricsMap ← {} |
| 81 | + stack ← [] |
| 82 | + ``` |
| 83 | + |
| 84 | + - Seed roots |
| 85 | + |
| 86 | + ```pseudo |
| 87 | + for each rootUuid in model.getRoots(): |
| 88 | + stack.push({ node: { uuid: rootUuid }, visited: false }) |
| 89 | + ``` |
| 90 | + |
| 91 | + We mark `visited = false` on first encounter (“children not yet handled”) and will re-push the |
| 92 | +same node with `visited = true` (“ready to compute”) after its children. |
| 93 | + |
| 94 | +2. **Process Frames Until Done** |
| 95 | + |
| 96 | + ```pseudo |
| 97 | + while stack is not empty: |
| 98 | + (currentNode, visited) ← stack.pop() |
| 99 | +
|
| 100 | + if visited == false: |
| 101 | + // --- First encounter: enqueue children, defer parent --- |
| 102 | + stack.push({ node: currentNode, visited: true }) |
| 103 | +
|
| 104 | + // 1) Determine children based on brick type |
| 105 | + type ← model.getBrickType(currentNode.uuid) |
| 106 | + if type == 'expression': |
| 107 | + children ← [] |
| 108 | + else if type == 'simple': |
| 109 | + children ← model.getExpressionArgs(currentNode.uuid) |
| 110 | + + model.getStatementChildren(currentNode.uuid) |
| 111 | + else if type == 'compound': |
| 112 | + children ← model.getNestedBlocks(currentNode.uuid) |
| 113 | + + model.getExpressionArgs(currentNode.uuid) |
| 114 | + + model.getStatementChildren(currentNode.uuid) |
| 115 | +
|
| 116 | + // 2) Push children so they come off *before* the parent’s second visit |
| 117 | + for each childUuid in reverse(children): |
| 118 | + stack.push({ node: { uuid: childUuid }, visited: false }) |
| 119 | +
|
| 120 | + else: |
| 121 | + // --- Second encounter: all children are ready, compute metrics --- |
| 122 | + // 1) Gather child bounding boxes |
| 123 | + childBBoxes ← [] |
| 124 | + for each cUuid in model.getExpressionArgs(currentNode.uuid) |
| 125 | + + model.getNestedBlocks(currentNode.uuid) |
| 126 | + + model.getStatementChildren(currentNode.uuid): |
| 127 | + childBBoxes.push(metricsMap[cUuid].bbox) |
| 128 | +
|
| 129 | + // 2) Fetch brick props and measure its label |
| 130 | + props ← model.getBrickProps(currentNode.uuid) |
| 131 | + labelBox ← measureLabel(props.label, props.fontSize) |
| 132 | +
|
| 133 | + // 3) Assemble config |
| 134 | + config = { |
| 135 | + type: props.type, |
| 136 | + strokeWidth: props.strokeWidth, |
| 137 | + scaleFactor: props.scale, |
| 138 | + bBoxLabel: { w: labelBox.w, h: labelBox.h }, |
| 139 | + bBoxArgs: childBBoxes, |
| 140 | + hasNotchAbove: props.topNotch, |
| 141 | + hasNotchBelow: props.bottomNotch |
| 142 | + } |
| 143 | +
|
| 144 | + // 4) Compute path, bbox, notch‐coords |
| 145 | + path ← generatePath(config) |
| 146 | + bbox ← getBoundingBox(config) |
| 147 | + connectionPoints ← deriveNotches(path, bbox) |
| 148 | +
|
| 149 | + // 5) Store into metricsMap |
| 150 | + metricsMap[currentNode.uuid] = { path, bbox, connectionPoints } |
| 151 | + ``` |
| 152 | + |
| 153 | + **Key invariant**: When a node’s frame is popped with `visited = true`, all of its children (and |
| 154 | +their entire subtrees) have already been computed and stored in `metricsMap`. |
| 155 | + |
| 156 | +3. **Completion** |
| 157 | + |
| 158 | + When the stack empties, `metricsMap` contains the final layout data for every brick: |
| 159 | + |
| 160 | + - SVG outline (`path`) |
| 161 | + - Dimensions (`bbox`) |
| 162 | + - Notch coordinates (`connectionPoints`) |
| 163 | + |
| 164 | + You can now feed these into your React components or canvas renderer in a single, child‐first |
| 165 | +batch. |
| 166 | + |
| 167 | +--- |
| 168 | + |
| 169 | +## Why This Approach |
| 170 | + |
| 171 | +- **Post‐order traversal** ensures each statement/compound block sizes itself around fully measured |
| 172 | +plugged‐in bricks. |
| 173 | +- **Explicit stack** avoids recursion limits—safe for arbitrary nesting depth. |
| 174 | +- **Type‐aware child selection** respects the two “directions” of plug‐ins: |
| 175 | + - Expression bricks never act as parents (no children). |
| 176 | + - Simple bricks only host expression‐slot arguments (and top/bottom chain). |
| 177 | + - Compound bricks first nest entire inner‐blocks, then expression args, then statement chaining. |
| 178 | +- **No extra bookkeeping**: the “two‐push visited‐flag” trick implicitly tracks when children are |
| 179 | +done without counters or complex state. |
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