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Function to return matrix for rotation about an arbitrary axis in GLSL.
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mat4 rotationMatrix(vec3 axis, float angle) | |
{ | |
axis = normalize(axis); | |
float s = sin(angle); | |
float c = cos(angle); | |
float oc = 1.0 - c; | |
return mat4(oc * axis.x * axis.x + c, oc * axis.x * axis.y - axis.z * s, oc * axis.z * axis.x + axis.y * s, 0.0, | |
oc * axis.x * axis.y + axis.z * s, oc * axis.y * axis.y + c, oc * axis.y * axis.z - axis.x * s, 0.0, | |
oc * axis.z * axis.x - axis.y * s, oc * axis.y * axis.z + axis.x * s, oc * axis.z * axis.z + c, 0.0, | |
0.0, 0.0, 0.0, 1.0); | |
} |
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bless for this, where does the math for this come from? ie any references?
i'm used to seeing three separate operations each using their own mat3 for rotation on each axis. this is awesome that it's all in one.