simplified matrix type
This commit is contained in:
Thomas Friedel
parent
0e16a8261b
commit
b2502f5472
2 changed files with 49 additions and 63 deletions
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@ -161,8 +161,7 @@ func (cv *Canvas) Height() int {
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func (cv *Canvas) Size() (int, int) { return cv.b.Size() }
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func (cv *Canvas) tf(v vec) vec {
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v, _ = v.mulMat(cv.state.transform)
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return v
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return v.mulMat(cv.state.transform)
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}
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const alphaTexSize = 2048
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@ -418,12 +417,12 @@ func (cv *Canvas) Rotate(angle float64) {
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// Transform updates the current transformation with the given matrix
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func (cv *Canvas) Transform(a, b, c, d, e, f float64) {
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cv.state.transform = mat{a, b, 0, c, d, 0, e, f, 1}.mul(cv.state.transform)
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cv.state.transform = mat{a, b, c, d, e, f}.mul(cv.state.transform)
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}
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// SetTransform replaces the current transformation with the given matrix
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func (cv *Canvas) SetTransform(a, b, c, d, e, f float64) {
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cv.state.transform = mat{a, b, 0, c, d, 0, e, f, 1}
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cv.state.transform = mat{a, b, c, d, e, f}
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}
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// SetShadowColor sets the color of the shadow. If it is fully transparent (default)
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105
math.go
105
math.go
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@ -11,43 +11,42 @@ func (v vec) String() string {
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return fmt.Sprintf("[%f,%f]", v[0], v[1])
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}
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func (v1 vec) add(v2 vec) vec {
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return vec{v1[0] + v2[0], v1[1] + v2[1]}
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func (v vec) add(v2 vec) vec {
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return vec{v[0] + v2[0], v[1] + v2[1]}
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}
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func (v1 vec) sub(v2 vec) vec {
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return vec{v1[0] - v2[0], v1[1] - v2[1]}
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func (v vec) sub(v2 vec) vec {
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return vec{v[0] - v2[0], v[1] - v2[1]}
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}
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func (v1 vec) mul(v2 vec) vec {
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return vec{v1[0] * v2[0], v1[1] * v2[1]}
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func (v vec) mul(v2 vec) vec {
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return vec{v[0] * v2[0], v[1] * v2[1]}
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}
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func (v vec) mulf(f float64) vec {
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return vec{v[0] * f, v[1] * f}
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}
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func (v vec) mulMat(m mat) (vec, float64) {
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func (v vec) mulMat(m mat) vec {
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return vec{
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m[0]*v[0] + m[3]*v[1] + m[6],
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m[1]*v[0] + m[4]*v[1] + m[7]},
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m[2]*v[0] + m[5]*v[1] + m[8]
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m[0]*v[0] + m[2]*v[1] + m[4],
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m[1]*v[0] + m[3]*v[1] + m[5]}
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}
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func (v vec) mulMat2(m mat2) vec {
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return vec{m[0]*v[0] + m[2]*v[1], m[1]*v[0] + m[3]*v[1]}
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}
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func (v1 vec) div(v2 vec) vec {
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return vec{v1[0] / v2[0], v1[1] / v2[1]}
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func (v vec) div(v2 vec) vec {
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return vec{v[0] / v2[0], v[1] / v2[1]}
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}
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func (v vec) divf(f float64) vec {
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return vec{v[0] / f, v[1] / f}
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}
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func (v1 vec) dot(v2 vec) float64 {
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return v1[0]*v2[0] + v1[1]*v2[1]
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func (v vec) dot(v2 vec) float64 {
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return v[0]*v2[0] + v[1]*v2[1]
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}
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func (v vec) len() float64 {
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@ -74,82 +73,70 @@ func (v vec) angleTo(v2 vec) float64 {
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return math.Acos(v.norm().dot(v2.norm()))
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}
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type mat [9]float64
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type mat [6]float64
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func (m *mat) String() string {
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return fmt.Sprintf("[%f,%f,%f,\n %f,%f,%f,\n %f,%f,%f,]", m[0], m[3], m[6], m[1], m[4], m[7], m[2], m[5], m[8])
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return fmt.Sprintf("[%f,%f,0,\n %f,%f,0,\n %f,%f,1,]", m[0], m[2], m[4], m[1], m[3], m[5])
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}
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func matIdentity() mat {
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return mat{
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1, 0, 0,
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0, 1, 0,
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0, 0, 1}
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1, 0,
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0, 1,
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0, 0}
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}
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func matTranslate(v vec) mat {
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return mat{
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1, 0, 0,
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0, 1, 0,
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v[0], v[1], 1}
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1, 0,
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0, 1,
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v[0], v[1]}
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}
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func matScale(v vec) mat {
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return mat{
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v[0], 0, 0,
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0, v[1], 0,
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0, 0, 1}
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v[0], 0,
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0, v[1],
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0, 0}
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}
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func matRotate(radians float64) mat {
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s, c := math.Sincos(radians)
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return mat{
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c, s, 0,
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-s, c, 0,
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0, 0, 1}
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c, s,
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-s, c,
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0, 0}
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}
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func (m1 mat) mul(m2 mat) mat {
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func (m mat) mul(m2 mat) mat {
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return mat{
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m1[0]*m2[0] + m1[1]*m2[3] + m1[2]*m2[6],
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m1[0]*m2[1] + m1[1]*m2[4] + m1[2]*m2[7],
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m1[0]*m2[2] + m1[1]*m2[5] + m1[2]*m2[8],
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m1[3]*m2[0] + m1[4]*m2[3] + m1[5]*m2[6],
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m1[3]*m2[1] + m1[4]*m2[4] + m1[5]*m2[7],
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m1[3]*m2[2] + m1[4]*m2[5] + m1[5]*m2[8],
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m1[6]*m2[0] + m1[7]*m2[3] + m1[8]*m2[6],
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m1[6]*m2[1] + m1[7]*m2[4] + m1[8]*m2[7],
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m1[6]*m2[2] + m1[7]*m2[5] + m1[8]*m2[8]}
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m[0]*m2[0] + m[1]*m2[2],
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m[0]*m2[1] + m[1]*m2[3],
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m[2]*m2[0] + m[3]*m2[2],
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m[2]*m2[1] + m[3]*m2[3],
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m[4]*m2[0] + m[5]*m2[2] + m2[4],
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m[4]*m2[1] + m[5]*m2[3] + m2[5]}
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}
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func (m mat) invert() mat {
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var identity float64 = 1.0 / (m[0]*m[4]*m[8] + m[3]*m[7]*m[2] + m[6]*m[1]*m[5] - m[6]*m[4]*m[2] - m[3]*m[1]*m[8] - m[0]*m[7]*m[5])
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identity := 1.0 / (m[0]*m[3] - m[2]*m[1])
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return mat{
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(m[4]*m[8] - m[5]*m[7]) * identity,
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(m[2]*m[7] - m[1]*m[8]) * identity,
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(m[1]*m[5] - m[2]*m[4]) * identity,
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(m[5]*m[6] - m[3]*m[8]) * identity,
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(m[0]*m[8] - m[2]*m[6]) * identity,
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(m[2]*m[3] - m[0]*m[5]) * identity,
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(m[3]*m[7] - m[4]*m[6]) * identity,
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(m[1]*m[6] - m[0]*m[7]) * identity,
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(m[0]*m[4] - m[1]*m[3]) * identity}
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}
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func (m mat) f32() [9]float32 {
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return [9]float32{
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float32(m[0]), float32(m[1]), float32(m[2]),
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float32(m[3]), float32(m[4]), float32(m[5]),
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float32(m[6]), float32(m[7]), float32(m[8])}
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}
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func (m mat) mat2() mat2 {
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return mat2{m[0], m[1], m[3], m[4]}
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m[3] * identity,
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-m[1] * identity,
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-m[2] * identity,
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m[0] * identity,
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(m[2]*m[5] - m[3]*m[4]) * identity,
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(m[1]*m[4] - m[0]*m[5]) * identity,
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}
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}
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type mat2 [4]float64
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func (m mat) mat2() mat2 {
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return mat2{m[0], m[1], m[2], m[3]}
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}
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func (m *mat2) String() string {
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return fmt.Sprintf("[%f,%f,\n %f,%f]", m[0], m[2], m[1], m[3])
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}
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