feat(stdlib): Add atan2 to the Number module

compiler/test/stdlib/number.test.gr

@@ -808,6 +808,35 @@ assert Number.isClose(
 )
 assert Number.isNaN(Number.atan(NaN))
 
+// Number.atan2
+assert Number.atan2(-8.06684839057968084, 4.53566256067686879) ==
+  -1.0585895402489023
+assert Number.atan2(4.34523984933830487, -8.88799136300345083) ==
+  2.6868734126013065
+assert Number.atan2(-8.38143342755524934, -2.76360733737958819) ==
+  -1.88930009184952796
+assert Number.atan2(-6.53167358191348413, 4.56753527684274374) ==
+  -0.960546902111148904
+assert Number.atan2(9.26705696697258574, 4.81139208435979615) ==
+  1.09191239461421086
+assert Number.atan2(-6.45004555606023633, 0.662071792337673881) ==
+  -1.4685085006164239
+assert Number.atan2(7.85889025304169664, 0.0521545267500622481) ==
+  1.5641600512601266
+assert Number.atan2(-0.792054511984895959, 7.67640268511753998) ==
+  -0.102816589106785081
+assert Number.atan2(0.615702673197924044, 2.01190257903248026) ==
+  0.2969797400449351
+assert Number.atan2(-0.558758682360915193, 0.0322398306026380407) ==
+  -1.51316120533039156
+assert Number.atan2(1, 0) == Number.pi / 2
+assert Number.atan2(-1, 0) == Number.pi / -2
+assert Number.atan2(0, 0) == 0
+assert Number.atan2(0, -1) == Number.pi
+assert Number.atan2(0, -Infinity) == Number.pi
+assert Number.atan2(0, 1) == 0
+assert Number.atan2(0, Infinity) == 0
+
 // Number.toDegrees
 assert Number.toDegrees(0) == 0
 assert Number.toDegrees(Number.pi) == 180

stdlib/number.gr

@@ -795,6 +795,33 @@ provide let atan = angle => {
   return WasmI32.toGrain(newFloat64(WasmF64.copySign(z, sx))): Number
 }
 
+/**
+ * Computes the angle between the positive x-axis and the ray from the origin to the point (x, y).
+ *
+ * @param y: The given y coordinate
+ * @param x: The given x coordinate
+ * @returns The angle in radians between the positive x-axis and the point (x, y)
+ *
+ * @example Number.atan2(0, 1) == Number.pi
+ *
+ * @since v0.6.0
+ */
+provide let atan2 = (y, x) => {
+  if (x > 0) {
+    atan(y / x)
+  } else if (x < 0 && y >= 0) {
+    atan(y / x) + pi
+  } else if (x < 0 && y < 0) {
+    atan(y / x) - pi
+  } else if (x == 0 && y > 0) {
+    pi / 2
+  } else if (x == 0 && y < 0) {
+    pi / -2
+  } else { // x == 0 && y == 0
+    0
+  }
+}
+
 /**
  * Converts degrees to radians.
  *

stdlib/number.md

@@ -890,6 +890,38 @@ Returns:
 |----|-----------|
 |`Number`|The inverse tangent (angle in radians between `-pi/2` and `pi/2`) of the given `angle` or `NaN` if the given `angle` is not between`-1` and `1`|
 
+### Number.**atan2**
+
+<details disabled>
+<summary tabindex="-1">Added in <code>next</code></summary>
+No other changes yet.
+</details>
+
+```grain
+atan2 : (y: Number, x: Number) => Number
+```
+
+Computes the angle between the positive x-axis and the ray from the origin to the point (x, y).
+
+Parameters:
+
+|param|type|description|
+|-----|----|-----------|
+|`y`|`Number`|The given y coordinate|
+|`x`|`Number`|The given x coordinate|
+
+Returns:
+
+|type|description|
+|----|-----------|
+|`Number`|The angle in radians between the positive x-axis and the point (x, y)|
+
+Examples:
+
+```grain
+Number.atan2(0, 1) == Number.pi
+```
+
 ### Number.**toRadians**
 
 <details disabled>