51 lines
1.5 KiB
Nim
51 lines
1.5 KiB
Nim
import mmath/smatrix
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import mmath/svector
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from nwo/utils import `...`
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from math import sin, cos
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type
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X2d* = SquareSMatrix[3, float32]
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P2d* = SVector[3, float32]
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Rect2d* = object
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tl*, br* : P2d
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proc newP2d*(x, y : float32) : P2d =
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P2d(buildSVector[3, float32](x,y,1f32))
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proc x*(p : P2d) : float32 = p[0]
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proc y*(p : P2d) : float32 = p[1]
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proc newRect2d*(x, y, width, height : float32) : Rect2d = Rect2d(tl: newP2d(x,y), br: newP2d(x + width, y + height))
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proc top*(rect : Rect2d) : float32 = rect.tl.y
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proc bottom*(rect : Rect2d) : float32 = rect.br.y
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proc left*(rect : Rect2d) : float32 = rect.tl.x
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proc right*(rect : Rect2d) : float32 = rect.br.x
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proc width*(rect : Rect2d) : float32 = rect.br.x - rect.tl.x
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proc height*(rect : Rect2d) : float32 = rect.br.y - rect.tl.y
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proc `*`*(rect : Rect2d, xform : X2d) : Rect2d = Rect2d(tl: rect.tl * xform, br: rect.br * xform)
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proc rot*(alpha: float32) : X2d =
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result = identity[3,float32]()
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let ca = cos(alpha)
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let sa = sin(alpha)
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result[0,0] = ca
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result[1,1] = ca
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result[0,1] = sa
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result[1,0] = -sa
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proc scale*(x, y: float32) : X2d =
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result = identity[3,float32]()
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result[0,0] = x
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result[1,1] = y
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proc xlate*(x, y: float32) : X2d =
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result = identity[3,float32]()
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result[2,0] = x
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result[2,1] = y
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proc scale*(center : P2d, x, y : float32) : X2d = xlate(-center.x, -center.y) * scale(x,y) * xlate(center.x, center.y)
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proc rot*(center : P2d, angle : float32) : X2d = xlate(-center.x, -center.y) * rot(angle) * xlate(center.x, center.y)
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