Add base units to some quantities (first steps) (#601)

Allow to create quantities by taking a numeric value and a `UnitSystem` as arguments to create quantities with units matching the given base units.

* Add base units to all base quantities, and base units for area as an example of a derived quantity

* Can't handle prefixes right now.

* Add test for SI unit system constructor for Area

* Use Undefined BaseUnits where not specified

Author: tmilnthorp

Common/UnitDefinitions/Acceleration.json

@@ -10,6 +10,10 @@
     {
       "SingularName": "MeterPerSecondSquared",
       "PluralName": "MetersPerSecondSquared",
+      "BaseUnits": {
+        "L": "Meter",
+        "T": "Second"
+      },
       "FromUnitToBaseFunc": "x",
       "FromBaseToUnitFunc": "x",
       "Prefixes": [ "Nano", "Micro", "Milli", "Centi", "Deci", "Kilo" ],
@@ -23,8 +27,12 @@
     {
       "SingularName": "InchPerSecondSquared",
       "PluralName": "InchesPerSecondSquared",
+      "BaseUnits": {
+        "L": "Inch",
+        "T": "Second"
+      },
       "FromUnitToBaseFunc": "x*0.0254",
-      "FromBaseToUnitFunc": "x/0.0254", 
+      "FromBaseToUnitFunc": "x/0.0254",
       "Localization": [
         {
           "Culture": "en-US",
@@ -35,6 +43,10 @@
     {
       "SingularName": "FootPerSecondSquared",
       "PluralName": "FeetPerSecondSquared",
+      "BaseUnits": {
+        "L": "Foot",
+        "T": "Second"
+      },
       "FromUnitToBaseFunc": "x*0.304800",
       "FromBaseToUnitFunc": "x/0.304800",
       "Localization": [
@@ -47,6 +59,10 @@
     {
       "SingularName": "KnotPerSecond",
       "PluralName": "KnotsPerSecond",
+      "BaseUnits": {
+        "L": "NauticalMile",
+        "T": "Second"
+      },
       "FromUnitToBaseFunc": "x*0.5144444444444",
       "FromBaseToUnitFunc": "x/0.5144444444444",
       "Localization": [
@@ -59,6 +75,10 @@
     {
       "SingularName": "KnotPerMinute",
       "PluralName": "KnotsPerMinute",
+      "BaseUnits": {
+        "L": "NauticalMile",
+        "T": "Minute"
+      },
       "FromUnitToBaseFunc": "x*0.5144444444444/60",
       "FromBaseToUnitFunc": "x/0.5144444444444*60",
       "Localization": [
@@ -71,6 +91,10 @@
     {
       "SingularName": "KnotPerHour",
       "PluralName": "KnotsPerHour",
+      "BaseUnits": {
+        "L": "NauticalMile",
+        "T": "Hour"
+      },
       "FromUnitToBaseFunc": "x*0.5144444444444/3600",
       "FromBaseToUnitFunc": "x/0.5144444444444*3600",
       "Localization": [
@@ -83,6 +107,10 @@
     {
       "SingularName": "StandardGravity",
       "PluralName": "StandardGravity",
+      "BaseUnits": {
+        "L": "Meter",
+        "T": "Second"
+      },
       "FromUnitToBaseFunc": "x*9.80665",
       "FromBaseToUnitFunc": "x/9.80665",
       "Localization": [

Common/UnitDefinitions/AmountOfSubstance.json

@@ -11,6 +11,9 @@
       "PluralName": "Moles",
       "FromUnitToBaseFunc": "x",
       "FromBaseToUnitFunc": "x",
+      "BaseUnits": {
+        "N": "Mole"
+      },
       "Prefixes": [ "Nano", "Micro", "Milli", "Centi", "Deci", "Kilo", "Mega"],
       "Localization": [
         {
@@ -22,6 +25,9 @@
     {
       "SingularName": "PoundMole",
       "PluralName": "PoundMoles",
+      "BaseUnits": {
+        "N": "PoundMole"
+      },
       "FromUnitToBaseFunc": "x*453.59237",
       "FromBaseToUnitFunc": "x/453.59237",
       "Prefixes": [ "Nano", "Micro", "Milli", "Centi", "Deci", "Kilo" ],

Common/UnitDefinitions/Area.json

@@ -9,6 +9,9 @@
     {
       "SingularName": "SquareKilometer",
       "PluralName": "SquareKilometers",
+      "BaseUnits": {
+        "L": "Kilometer"
+      },
       "FromUnitToBaseFunc": "x*1e6",
       "FromBaseToUnitFunc": "x/1e6",
       "Localization": [
@@ -25,6 +28,9 @@
     {
       "SingularName": "SquareMeter",
       "PluralName": "SquareMeters",
+      "BaseUnits": {
+        "L": "Meter"
+      },
       "FromUnitToBaseFunc": "x",
       "FromBaseToUnitFunc": "x",
       "Localization": [
@@ -41,6 +47,9 @@
     {
       "SingularName": "SquareDecimeter",
       "PluralName": "SquareDecimeters",
+      "BaseUnits": {
+        "L": "Decimeter"
+      },
       "FromUnitToBaseFunc": "x*1e-2",
       "FromBaseToUnitFunc": "x/1e-2",
       "Localization": [
@@ -57,6 +66,9 @@
     {
       "SingularName": "SquareCentimeter",
       "PluralName": "SquareCentimeters",
+      "BaseUnits": {
+        "L": "Centimeter"
+      },
       "FromUnitToBaseFunc": "x*1e-4",
       "FromBaseToUnitFunc": "x/1e-4",
       "Localization": [
@@ -73,6 +85,9 @@
     {
       "SingularName": "SquareMillimeter",
       "PluralName": "SquareMillimeters",
+      "BaseUnits": {
+        "L": "Millimeter"
+      },
       "FromUnitToBaseFunc": "x*1e-6",
       "FromBaseToUnitFunc": "x/1e-6",
       "Localization": [
@@ -89,6 +104,9 @@
     {
       "SingularName": "SquareMicrometer",
       "PluralName": "SquareMicrometers",
+      "BaseUnits": {
+        "L": "Micrometer"
+      },
       "FromUnitToBaseFunc": "x*1e-12",
       "FromBaseToUnitFunc": "x/1e-12",
       "Localization": [
@@ -105,6 +123,9 @@
     {
       "SingularName": "SquareMile",
       "PluralName": "SquareMiles",
+      "BaseUnits": {
+        "L": "Mile"
+      },
       "FromUnitToBaseFunc": "x*2.59e6",
       "FromBaseToUnitFunc": "x/2.59e6",
       "Localization": [
@@ -121,6 +142,9 @@
     {
       "SingularName": "SquareYard",
       "PluralName": "SquareYards",
+      "BaseUnits": {
+        "L": "Yard"
+      },
       "FromUnitToBaseFunc": "x*0.836127",
       "FromBaseToUnitFunc": "x/0.836127",
       "Localization": [
@@ -137,6 +161,9 @@
     {
       "SingularName": "SquareFoot",
       "PluralName": "SquareFeet",
+      "BaseUnits": {
+        "L": "Foot"
+      },
       "FromUnitToBaseFunc": "x*0.092903",
       "FromBaseToUnitFunc": "x/0.092903",
       "Localization": [
@@ -153,6 +180,9 @@
     {
       "SingularName": "UsSurveySquareFoot",
       "PluralName": "UsSurveySquareFeet",
+      "BaseUnits": {
+        "L": "UsSurveyFoot"
+      },
       "FromUnitToBaseFunc": "x*0.09290341161",
       "FromBaseToUnitFunc": "x/0.09290341161",
       "Localization": [
@@ -165,6 +195,9 @@
     {
       "SingularName": "SquareInch",
       "PluralName": "SquareInches",
+      "BaseUnits": {
+        "L": "Inch"
+      },
       "FromUnitToBaseFunc": "x*0.00064516",
       "FromBaseToUnitFunc": "x/0.00064516",
       "Localization": [

Common/UnitDefinitions/Duration.json

@@ -9,6 +9,9 @@
     {
       "SingularName": "Year365",
       "PluralName": "Years365",
+      "BaseUnits": {
+        "T": "Year365"
+      },
       "FromUnitToBaseFunc": "x*365*24*3600",
       "FromBaseToUnitFunc": "x/(365*24*3600)",
       "Localization": [
@@ -25,6 +28,9 @@
     {
       "SingularName": "Month30",
       "PluralName": "Months30",
+      "BaseUnits": {
+        "T": "Month30"
+      },
       "FromUnitToBaseFunc": "x*30*24*3600",
       "FromBaseToUnitFunc": "x/(30*24*3600)",
       "Localization": [
@@ -41,6 +47,9 @@
     {
       "SingularName": "Week",
       "PluralName": "Weeks",
+      "BaseUnits": {
+        "T": "Week"
+      },
       "FromUnitToBaseFunc": "x*7*24*3600",
       "FromBaseToUnitFunc": "x/(7*24*3600)",
       "Localization": [
@@ -57,6 +66,9 @@
     {
       "SingularName": "Day",
       "PluralName": "Days",
+      "BaseUnits": {
+        "T": "Day"
+      },
       "FromUnitToBaseFunc": "x*24*3600",
       "FromBaseToUnitFunc": "x/(24*3600)",
       "Localization": [
@@ -73,6 +85,9 @@
     {
       "SingularName": "Hour",
       "PluralName": "Hours",
+      "BaseUnits": {
+        "T": "Hour"
+      },
       "FromUnitToBaseFunc": "x*3600",
       "FromBaseToUnitFunc": "x/3600",
       "Localization": [
@@ -89,6 +104,9 @@
     {
       "SingularName": "Minute",
       "PluralName": "Minutes",
+      "BaseUnits": {
+        "T": "Minute"
+      },
       "FromUnitToBaseFunc": "x*60",
       "FromBaseToUnitFunc": "x/60",
       "Localization": [
@@ -105,6 +123,9 @@
     {
       "SingularName": "Second",
       "PluralName": "Seconds",
+      "BaseUnits": {
+        "T": "Second"
+      },
       "FromUnitToBaseFunc": "x",
       "FromBaseToUnitFunc": "x",
       "Prefixes": [ "Nano", "Micro", "Milli" ],

Common/UnitDefinitions/ElectricCurrent.json

@@ -11,6 +11,9 @@
       "PluralName": "Amperes",
       "FromUnitToBaseFunc": "x",
       "FromBaseToUnitFunc": "x",
+      "BaseUnits": {
+        "I": "Ampere"
+      },
       "Prefixes": [ "Pico", "Nano", "Micro", "Milli", "Centi", "Kilo", "Mega" ],
       "Localization": [
         {

Common/UnitDefinitions/Energy.json

@@ -11,6 +11,11 @@
     {
       "SingularName": "Joule",
       "PluralName": "Joules",
+      "BaseUnits": {
+        "L": "Meter",
+        "M": "Kilogram",
+        "T": "Second"
+      },
       "FromUnitToBaseFunc": "x",
       "FromBaseToUnitFunc": "x",
       "Prefixes": [ "Kilo", "Mega" ],