47 lines
845 B
Nim
47 lines
845 B
Nim
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import math
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import strformat
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type
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Vector* = object
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x*: float
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y*: float
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func vector*(x, y: float): Vector =
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Vector(x: x, y: y)
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func `+`*(a, b: Vector): Vector =
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Vector(x: a.x + b.x, y: a.y + b.y)
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func `-`*(a: Vector): Vector =
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Vector(x: -a.x, y: -a.y)
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func `-`*(a, b: Vector): Vector =
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a + (-b)
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func `*`*(a: Vector, f: float): Vector =
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Vector(x: a.x * f, y: a.y * f)
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func `*`*(f: float, a: Vector): Vector =
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a * f
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func dot*(a, b: Vector): float =
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a.x * b.x + a.y * b.y
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func len*(a: Vector): float =
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sqrt(dot(a, a))
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func `/`*(a: Vector, f: float): Vector =
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a * (1/f)
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func normalize*(a: Vector): Vector =
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a / a.len
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func `+=`*(a: var Vector, b: Vector) =
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a = a + b
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func `-=`*(a: var Vector, b: Vector) =
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a = a - b
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func `$`*(a: Vector): string =
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&"[{a.x}, {a.y}]"
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