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// Copyright 2009 The geom Authors. All rights reserved. | ||
// Use of this source code is governed by a BSD-style | ||
// license that can be found in the LICENSE file. | ||
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package geom | ||
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import ( | ||
"math" | ||
) | ||
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type Coord struct { | ||
X, Y float64 | ||
} | ||
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func (p *Coord) Hashcode() (hash uint64) { | ||
x, y := uint64(p.X), uint64(p.Y) | ||
hash = x y | ||
return | ||
} | ||
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func (p *Coord) Equals(oi interface{}) (equals bool) { | ||
o, equals := oi.(*Coord) | ||
if !equals { | ||
var op Coord | ||
op, equals = oi.(Coord) | ||
equals = equals && p.EqualsCoord(op) | ||
return | ||
} | ||
equals = p.EqualsCoord(*o) | ||
return | ||
} | ||
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func (p *Coord) Translate(offset Coord) { | ||
*p = p.Plus(offset) | ||
} | ||
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func (p *Coord) Rotate(rad float64) { | ||
p.X = p.X*math.Cos(rad) - p.Y*math.Sin(rad) | ||
p.Y = p.X*math.Sin(rad) p.Y*math.Cos(rad) | ||
} | ||
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func (p *Coord) RotateLeft() { | ||
p.X, p.Y = -p.Y, p.X | ||
} | ||
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func (p *Coord) RotateRight() { | ||
p.X, p.Y = p.Y, -p.X | ||
} | ||
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func (p Coord) Unit() (u Coord) { | ||
m := p.Magnitude() | ||
u.X = p.X / m | ||
u.Y = p.Y / m | ||
return | ||
} | ||
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func (p *Coord) Scale(xfactor, yfactor float64) { | ||
p.X *= xfactor | ||
p.Y *= yfactor | ||
} | ||
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func (p Coord) EqualsCoord(q Coord) bool { | ||
return p.X == q.X && p.Y == q.Y | ||
} | ||
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func (p Coord) DistanceFrom(q Coord) (d float64) { | ||
return p.Minus(q).Magnitude() | ||
} | ||
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func (p Coord) DistanceFromSquared(q Coord) (ds float64) { | ||
return p.Minus(q).MagnitudeSquared() | ||
} | ||
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func (p Coord) Magnitude() (m float64) { | ||
m = math.Sqrt(p.MagnitudeSquared()) | ||
return | ||
} | ||
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func (p Coord) MagnitudeSquared() (ms float64) { | ||
ms = p.X*p.X p.Y*p.Y | ||
return | ||
} | ||
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func (p Coord) Minus(q Coord) (r Coord) { | ||
r.X = p.X - q.X | ||
r.Y = p.Y - q.Y | ||
return | ||
} | ||
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func (p Coord) Plus(q Coord) (r Coord) { | ||
r.X = p.X q.X | ||
r.Y = p.Y q.Y | ||
return | ||
} | ||
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func (p Coord) Times(s float64) (r Coord) { | ||
r.X = p.X * s | ||
r.Y = p.Y * s | ||
return | ||
} | ||
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func (p Coord) QuadPP(q Coord) bool { | ||
return q.X >= p.X && q.Y >= p.Y | ||
} | ||
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func (p Coord) QuadPM(q Coord) bool { | ||
return q.X >= p.X && q.Y <= p.Y | ||
} | ||
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func (p Coord) QuadMP(q Coord) bool { | ||
return q.X <= p.X && q.Y >= p.Y | ||
} | ||
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func (p Coord) QuadMM(q Coord) bool { | ||
return q.X <= p.X && q.Y <= p.Y | ||
} | ||
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func DotProduct(p, q Coord) (r float64) { | ||
r = p.X*q.X p.Y*q.Y | ||
return | ||
} | ||
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func CrossProduct(p, q Coord) (z float64) { | ||
z = p.X*q.Y - p.Y*q.X | ||
return | ||
} | ||
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func VectorAngle(X, Y Coord) (r float64) { | ||
XdotY := DotProduct(X, Y) | ||
mXmY := X.Magnitude() * Y.Magnitude() | ||
r = math.Acos(XdotY / mXmY) | ||
z := CrossProduct(X, Y) | ||
if z < 0 { | ||
r *= -1 | ||
} | ||
return | ||
} | ||
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func VertexAngle(A, B, C Coord) (r float64) { | ||
X := A.Minus(B) | ||
Y := C.Minus(B) | ||
r = VectorAngle(X, Y) | ||
if r < 0 { | ||
r *= -1 | ||
} | ||
return | ||
} | ||
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func CoordChan(points []Coord) (ch <-chan Coord) { | ||
tch := make(chan Coord, len(points)) | ||
go func(points []Coord, ch chan<- Coord) { | ||
for _, p := range points { | ||
ch <- p | ||
} | ||
close(ch) | ||
}(points, tch) | ||
ch = tch | ||
return | ||
} |
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