51 lines
973 B
Nim
51 lines
973 B
Nim
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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z*: float
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func vector*(x, y, z: float): Vector =
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Vector(x: x, y: y, z: z)
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func vector0*: Vector =
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vector(0.0, 0.0, 0.0)
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func `+`*(a, b: Vector): Vector =
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Vector(x: a.x + b.x, y: a.y + b.y, z: a.z + b.z)
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func `-`*(a: Vector): Vector =
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Vector(x: -a.x, y: -a.y, z: -a.z)
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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, z: a.z * 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 + a.z * b.z
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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} {a.z}"
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