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-rw-r--r--src/libjin/math/matrix.cpp370
1 files changed, 185 insertions, 185 deletions
diff --git a/src/libjin/math/matrix.cpp b/src/libjin/math/matrix.cpp
index 9d1c77b..52d4f74 100644
--- a/src/libjin/math/matrix.cpp
+++ b/src/libjin/math/matrix.cpp
@@ -7,189 +7,189 @@
namespace JinEngine
{
- namespace Math
- {
-
- const Matrix Matrix::Identity;
-
- // | e0 e4 e8 e12 |
- // | e1 e5 e9 e13 |
- // | e2 e6 e10 e14 |
- // | e3 e7 e11 e15 |
-
- Matrix::Matrix()
- {
- setIdentity();
- }
-
- Matrix::~Matrix()
- {
- }
-
- void Matrix::setOrtho(float l, float r, float b, float t, float n, float f)
- {
- setIdentity();
- float w = r - l;
- float h = t - b;
- float z = f - n;
- e[0] = 2 / w;
- e[5] = 2 / h;
- e[10] = -2 / z;
- e[12] = -(r + l) / w;
- e[13] = -(t + b) / h;
- e[14] = -(f + n) / z;
- e[15] = 1;
- }
-
- // | e0 e4 e8 e12 |
- // | e1 e5 e9 e13 |
- // | e2 e6 e10 e14 |
- // | e3 e7 e11 e15 |
- // | e0 e4 e8 e12 |
- // | e1 e5 e9 e13 |
- // | e2 e6 e10 e14 |
- // | e3 e7 e11 e15 |
-
- Matrix Matrix::operator * (const Matrix & m) const
- {
- Matrix t;
-
- t.e[0] = (e[0] * m.e[0]) + (e[4] * m.e[1]) + (e[8] * m.e[2]) + (e[12] * m.e[3]);
- t.e[4] = (e[0] * m.e[4]) + (e[4] * m.e[5]) + (e[8] * m.e[6]) + (e[12] * m.e[7]);
- t.e[8] = (e[0] * m.e[8]) + (e[4] * m.e[9]) + (e[8] * m.e[10]) + (e[12] * m.e[11]);
- t.e[12] = (e[0] * m.e[12]) + (e[4] * m.e[13]) + (e[8] * m.e[14]) + (e[12] * m.e[15]);
-
- t.e[1] = (e[1] * m.e[0]) + (e[5] * m.e[1]) + (e[9] * m.e[2]) + (e[13] * m.e[3]);
- t.e[5] = (e[1] * m.e[4]) + (e[5] * m.e[5]) + (e[9] * m.e[6]) + (e[13] * m.e[7]);
- t.e[9] = (e[1] * m.e[8]) + (e[5] * m.e[9]) + (e[9] * m.e[10]) + (e[13] * m.e[11]);
- t.e[13] = (e[1] * m.e[12]) + (e[5] * m.e[13]) + (e[9] * m.e[14]) + (e[13] * m.e[15]);
-
- t.e[2] = (e[2] * m.e[0]) + (e[6] * m.e[1]) + (e[10] * m.e[2]) + (e[14] * m.e[3]);
- t.e[6] = (e[2] * m.e[4]) + (e[6] * m.e[5]) + (e[10] * m.e[6]) + (e[14] * m.e[7]);
- t.e[10] = (e[2] * m.e[8]) + (e[6] * m.e[9]) + (e[10] * m.e[10]) + (e[14] * m.e[11]);
- t.e[14] = (e[2] * m.e[12]) + (e[6] * m.e[13]) + (e[10] * m.e[14]) + (e[14] * m.e[15]);
-
- t.e[3] = (e[3] * m.e[0]) + (e[7] * m.e[1]) + (e[11] * m.e[2]) + (e[15] * m.e[3]);
- t.e[7] = (e[3] * m.e[4]) + (e[7] * m.e[5]) + (e[11] * m.e[6]) + (e[15] * m.e[7]);
- t.e[11] = (e[3] * m.e[8]) + (e[7] * m.e[9]) + (e[11] * m.e[10]) + (e[15] * m.e[11]);
- t.e[15] = (e[3] * m.e[12]) + (e[7] * m.e[13]) + (e[11] * m.e[14]) + (e[15] * m.e[15]);
-
- return t;
- }
-
- void Matrix::operator *= (const Matrix & m)
- {
- Matrix t = (*this) * m;
- memcpy((void*)this->e, (void*)t.e, sizeof(float) * 16);
- }
-
- const float * Matrix::getElements() const
- {
- return e;
- }
-
- void Matrix::setIdentity()
- {
- memset(e, 0, sizeof(float) * 16);
- e[0] = e[5] = e[10] = e[15] = 1;
- }
-
- void Matrix::setTranslation(float x, float y)
- {
- setIdentity();
- e[12] = x;
- e[13] = y;
- }
-
- void Matrix::setRotation(float rad)
- {
- setIdentity();
- float c = cos(rad), s = sin(rad);
- e[0] = c; e[4] = -s;
- e[1] = s; e[5] = c;
- }
-
- void Matrix::setScale(float sx, float sy)
- {
- setIdentity();
- e[0] = sx;
- e[5] = sy;
- }
-
- void Matrix::setShear(float kx, float ky)
- {
- setIdentity();
- e[1] = ky;
- e[4] = kx;
- }
-
- void Matrix::setTransformation(float x, float y, float angle, float sx, float sy, float ox, float oy)
- {
- memset(e, 0, sizeof(float) * 16); // zero out matrix
- float c = cos(angle), s = sin(angle);
- // matrix multiplication carried out on paper:
- // |1 x| |c -s | |sx | |1 -ox|
- // | 1 y| |s c | | sy | | 1 -oy|
- // | 1 | | 1 | | 1 | | 1 |
- // | 1| | 1| | 1| | 1 |
- // move rotate scale origin
- e[10] = e[15] = 1.0f;
- e[0] = c * sx ; // = a
- e[1] = s * sx ; // = b
- e[4] = - s * sy; // = c
- e[5] = c * sy; // = d
- e[12] = x - ox * e[0] - oy * e[4];
- e[13] = y - ox * e[1] - oy * e[5];
- }
-
- void Matrix::translate(float x, float y)
- {
- Matrix t;
- t.setTranslation(x, y);
- this->operator *=(t);
- }
-
- void Matrix::rotate(float rad)
- {
- Matrix t;
- t.setRotation(rad);
- this->operator *=(t);
- }
-
- void Matrix::scale(float sx, float sy)
- {
- Matrix t;
- t.setScale(sx, sy);
- this->operator *=(t);
- }
-
- void Matrix::shear(float kx, float ky)
- {
- Matrix t;
- t.setShear(kx, ky);
- this->operator *=(t);
- }
-
- // | x |
- // | y |
- // | 0 |
- // | 1 |
- // | e0 e4 e8 e12 |
- // | e1 e5 e9 e13 |
- // | e2 e6 e10 e14 |
- // | e3 e7 e11 e15 |
-
- void Matrix::transform(Graphics::Vertex* dst, const Graphics::Vertex* src, int size) const
- {
- for (int i = 0; i<size; ++i)
- {
- // Store in temp variables in case src = dst
- float x = (e[0] * src[i].xy.x()) + (e[4] * src[i].xy.y()) + (0) + (e[12]);
- float y = (e[1] * src[i].xy.x()) + (e[5] * src[i].xy.y()) + (0) + (e[13]);
-
- dst[i].xy.set(x, y);
- }
- }
-
- }
+ namespace Math
+ {
+
+ const Matrix Matrix::Identity;
+
+ // | e0 e4 e8 e12 |
+ // | e1 e5 e9 e13 |
+ // | e2 e6 e10 e14 |
+ // | e3 e7 e11 e15 |
+
+ Matrix::Matrix()
+ {
+ setIdentity();
+ }
+
+ Matrix::~Matrix()
+ {
+ }
+
+ void Matrix::setOrtho(float l, float r, float b, float t, float n, float f)
+ {
+ setIdentity();
+ float w = r - l;
+ float h = t - b;
+ float z = f - n;
+ e[0] = 2 / w;
+ e[5] = 2 / h;
+ e[10] = -2 / z;
+ e[12] = -(r + l) / w;
+ e[13] = -(t + b) / h;
+ e[14] = -(f + n) / z;
+ e[15] = 1;
+ }
+
+ // | e0 e4 e8 e12 |
+ // | e1 e5 e9 e13 |
+ // | e2 e6 e10 e14 |
+ // | e3 e7 e11 e15 |
+ // | e0 e4 e8 e12 |
+ // | e1 e5 e9 e13 |
+ // | e2 e6 e10 e14 |
+ // | e3 e7 e11 e15 |
+
+ Matrix Matrix::operator * (const Matrix & m) const
+ {
+ Matrix t;
+
+ t.e[0] = (e[0] * m.e[0]) + (e[4] * m.e[1]) + (e[8] * m.e[2]) + (e[12] * m.e[3]);
+ t.e[4] = (e[0] * m.e[4]) + (e[4] * m.e[5]) + (e[8] * m.e[6]) + (e[12] * m.e[7]);
+ t.e[8] = (e[0] * m.e[8]) + (e[4] * m.e[9]) + (e[8] * m.e[10]) + (e[12] * m.e[11]);
+ t.e[12] = (e[0] * m.e[12]) + (e[4] * m.e[13]) + (e[8] * m.e[14]) + (e[12] * m.e[15]);
+
+ t.e[1] = (e[1] * m.e[0]) + (e[5] * m.e[1]) + (e[9] * m.e[2]) + (e[13] * m.e[3]);
+ t.e[5] = (e[1] * m.e[4]) + (e[5] * m.e[5]) + (e[9] * m.e[6]) + (e[13] * m.e[7]);
+ t.e[9] = (e[1] * m.e[8]) + (e[5] * m.e[9]) + (e[9] * m.e[10]) + (e[13] * m.e[11]);
+ t.e[13] = (e[1] * m.e[12]) + (e[5] * m.e[13]) + (e[9] * m.e[14]) + (e[13] * m.e[15]);
+
+ t.e[2] = (e[2] * m.e[0]) + (e[6] * m.e[1]) + (e[10] * m.e[2]) + (e[14] * m.e[3]);
+ t.e[6] = (e[2] * m.e[4]) + (e[6] * m.e[5]) + (e[10] * m.e[6]) + (e[14] * m.e[7]);
+ t.e[10] = (e[2] * m.e[8]) + (e[6] * m.e[9]) + (e[10] * m.e[10]) + (e[14] * m.e[11]);
+ t.e[14] = (e[2] * m.e[12]) + (e[6] * m.e[13]) + (e[10] * m.e[14]) + (e[14] * m.e[15]);
+
+ t.e[3] = (e[3] * m.e[0]) + (e[7] * m.e[1]) + (e[11] * m.e[2]) + (e[15] * m.e[3]);
+ t.e[7] = (e[3] * m.e[4]) + (e[7] * m.e[5]) + (e[11] * m.e[6]) + (e[15] * m.e[7]);
+ t.e[11] = (e[3] * m.e[8]) + (e[7] * m.e[9]) + (e[11] * m.e[10]) + (e[15] * m.e[11]);
+ t.e[15] = (e[3] * m.e[12]) + (e[7] * m.e[13]) + (e[11] * m.e[14]) + (e[15] * m.e[15]);
+
+ return t;
+ }
+
+ void Matrix::operator *= (const Matrix & m)
+ {
+ Matrix t = (*this) * m;
+ memcpy((void*)this->e, (void*)t.e, sizeof(float) * 16);
+ }
+
+ const float * Matrix::getElements() const
+ {
+ return e;
+ }
+
+ void Matrix::setIdentity()
+ {
+ memset(e, 0, sizeof(float) * 16);
+ e[0] = e[5] = e[10] = e[15] = 1;
+ }
+
+ void Matrix::setTranslation(float x, float y)
+ {
+ setIdentity();
+ e[12] = x;
+ e[13] = y;
+ }
+
+ void Matrix::setRotation(float rad)
+ {
+ setIdentity();
+ float c = cos(rad), s = sin(rad);
+ e[0] = c; e[4] = -s;
+ e[1] = s; e[5] = c;
+ }
+
+ void Matrix::setScale(float sx, float sy)
+ {
+ setIdentity();
+ e[0] = sx;
+ e[5] = sy;
+ }
+
+ void Matrix::setShear(float kx, float ky)
+ {
+ setIdentity();
+ e[1] = ky;
+ e[4] = kx;
+ }
+
+ void Matrix::setTransformation(float x, float y, float angle, float sx, float sy, float ox, float oy)
+ {
+ memset(e, 0, sizeof(float) * 16); // zero out matrix
+ float c = cos(angle), s = sin(angle);
+ // matrix multiplication carried out on paper:
+ // |1 x| |c -s | |sx | |1 -ox|
+ // | 1 y| |s c | | sy | | 1 -oy|
+ // | 1 | | 1 | | 1 | | 1 |
+ // | 1| | 1| | 1| | 1 |
+ // move rotate scale origin
+ e[10] = e[15] = 1.0f;
+ e[0] = c * sx ; // = a
+ e[1] = s * sx ; // = b
+ e[4] = - s * sy; // = c
+ e[5] = c * sy; // = d
+ e[12] = x - ox * e[0] - oy * e[4];
+ e[13] = y - ox * e[1] - oy * e[5];
+ }
+
+ void Matrix::translate(float x, float y)
+ {
+ Matrix t;
+ t.setTranslation(x, y);
+ this->operator *=(t);
+ }
+
+ void Matrix::rotate(float rad)
+ {
+ Matrix t;
+ t.setRotation(rad);
+ this->operator *=(t);
+ }
+
+ void Matrix::scale(float sx, float sy)
+ {
+ Matrix t;
+ t.setScale(sx, sy);
+ this->operator *=(t);
+ }
+
+ void Matrix::shear(float kx, float ky)
+ {
+ Matrix t;
+ t.setShear(kx, ky);
+ this->operator *=(t);
+ }
+
+ // | x |
+ // | y |
+ // | 0 |
+ // | 1 |
+ // | e0 e4 e8 e12 |
+ // | e1 e5 e9 e13 |
+ // | e2 e6 e10 e14 |
+ // | e3 e7 e11 e15 |
+
+ void Matrix::transform(Graphics::Vertex* dst, const Graphics::Vertex* src, int size) const
+ {
+ for (int i = 0; i<size; ++i)
+ {
+ // Store in temp variables in case src = dst
+ float x = (e[0] * src[i].xy.x()) + (e[4] * src[i].xy.y()) + (0) + (e[12]);
+ float y = (e[1] * src[i].xy.x()) + (e[5] * src[i].xy.y()) + (0) + (e[13]);
+
+ dst[i].xy.set(x, y);
+ }
+ }
+
+ }
} \ No newline at end of file
generated by cgit v1.1-26-g67d0 at 2025-05-18 20:12:40 +0000