out->m[3][3] = in1->m[3][3];
}
+#if 1
+// Adapted from code contributed to Mesa by David Moore (Mesa 7.6 under SGI Free License B - which is MIT/X11-type)
+// added helper for common subexpression elimination by eihrul, and other optimizations by div0
+int Matrix4x4_Invert_Full (matrix4x4_t *out, const matrix4x4_t *in1)
+{
+ float det;
+
+ // note: orientation does not matter, as transpose(invert(transpose(m))) == invert(m), proof:
+ // transpose(invert(transpose(m))) * m
+ // = transpose(invert(transpose(m))) * transpose(transpose(m))
+ // = transpose(transpose(m) * invert(transpose(m)))
+ // = transpose(identity)
+ // = identity
+
+ // this seems to help gcc's common subexpression elimination, and also makes the code look nicer
+ float m00 = in1->m[0][0], m01 = in1->m[0][1], m02 = in1->m[0][2], m03 = in1->m[0][3],
+ m10 = in1->m[1][0], m11 = in1->m[1][1], m12 = in1->m[1][2], m13 = in1->m[1][3],
+ m20 = in1->m[2][0], m21 = in1->m[2][1], m22 = in1->m[2][2], m23 = in1->m[2][3],
+ m30 = in1->m[3][0], m31 = in1->m[3][1], m32 = in1->m[3][2], m33 = in1->m[3][3];
+
+ // calculate the adjoint
+ out->m[0][0] = (m11*(m22*m33 - m23*m32) - m21*(m12*m33 - m13*m32) + m31*(m12*m23 - m13*m22));
+ out->m[0][1] = -(m01*(m22*m33 - m23*m32) - m21*(m02*m33 - m03*m32) + m31*(m02*m23 - m03*m22));
+ out->m[0][2] = (m01*(m12*m33 - m13*m32) - m11*(m02*m33 - m03*m32) + m31*(m02*m13 - m03*m12));
+ out->m[0][3] = -(m01*(m12*m23 - m13*m22) - m11*(m02*m23 - m03*m22) + m21*(m02*m13 - m03*m12));
+ out->m[1][0] = -(m10*(m22*m33 - m23*m32) - m20*(m12*m33 - m13*m32) + m30*(m12*m23 - m13*m22));
+ out->m[1][1] = (m00*(m22*m33 - m23*m32) - m20*(m02*m33 - m03*m32) + m30*(m02*m23 - m03*m22));
+ out->m[1][2] = -(m00*(m12*m33 - m13*m32) - m10*(m02*m33 - m03*m32) + m30*(m02*m13 - m03*m12));
+ out->m[1][3] = (m00*(m12*m23 - m13*m22) - m10*(m02*m23 - m03*m22) + m20*(m02*m13 - m03*m12));
+ out->m[2][0] = (m10*(m21*m33 - m23*m31) - m20*(m11*m33 - m13*m31) + m30*(m11*m23 - m13*m21));
+ out->m[2][1] = -(m00*(m21*m33 - m23*m31) - m20*(m01*m33 - m03*m31) + m30*(m01*m23 - m03*m21));
+ out->m[2][2] = (m00*(m11*m33 - m13*m31) - m10*(m01*m33 - m03*m31) + m30*(m01*m13 - m03*m11));
+ out->m[2][3] = -(m00*(m11*m23 - m13*m21) - m10*(m01*m23 - m03*m21) + m20*(m01*m13 - m03*m11));
+ out->m[3][0] = -(m10*(m21*m32 - m22*m31) - m20*(m11*m32 - m12*m31) + m30*(m11*m22 - m12*m21));
+ out->m[3][1] = (m00*(m21*m32 - m22*m31) - m20*(m01*m32 - m02*m31) + m30*(m01*m22 - m02*m21));
+ out->m[3][2] = -(m00*(m11*m32 - m12*m31) - m10*(m01*m32 - m02*m31) + m30*(m01*m12 - m02*m11));
+ out->m[3][3] = (m00*(m11*m22 - m12*m21) - m10*(m01*m22 - m02*m21) + m20*(m01*m12 - m02*m11));
+
+ // calculate the determinant (as inverse == 1/det * adjoint, adjoint * m == identity * det, so this calculates the det)
+ det = m00*out->m[0][0] + m10*out->m[0][1] + m20*out->m[0][2] + m30*out->m[0][3];
+ if (det == 0.0f)
+ return 0;
+
+ // multiplications are faster than divisions, usually
+ det = 1.0f / det;
+
+ // manually unrolled loop to multiply all matrix elements by 1/det
+ out->m[0][0] *= det; out->m[0][1] *= det; out->m[0][2] *= det; out->m[0][3] *= det;
+ out->m[1][0] *= det; out->m[1][1] *= det; out->m[1][2] *= det; out->m[1][3] *= det;
+ out->m[2][0] *= det; out->m[2][1] *= det; out->m[2][2] *= det; out->m[2][3] *= det;
+ out->m[3][0] *= det; out->m[3][1] *= det; out->m[3][2] *= det; out->m[3][3] *= det;
+
+ return 1;
+}
+#elif 1
+// Adapted from code contributed to Mesa by David Moore (Mesa 7.6 under SGI Free License B - which is MIT/X11-type)
+int Matrix4x4_Invert_Full (matrix4x4_t *out, const matrix4x4_t *in1)
+{
+ matrix4x4_t temp;
+ double det;
+ int i, j;
+
+#ifdef MATRIX4x4_OPENGLORIENTATION
+ temp.m[0][0] = in1->m[1][1]*in1->m[2][2]*in1->m[3][3] - in1->m[1][1]*in1->m[2][3]*in1->m[3][2] - in1->m[2][1]*in1->m[1][2]*in1->m[3][3] + in1->m[2][1]*in1->m[1][3]*in1->m[3][2] + in1->m[3][1]*in1->m[1][2]*in1->m[2][3] - in1->m[3][1]*in1->m[1][3]*in1->m[2][2];
+ temp.m[1][0] = -in1->m[1][0]*in1->m[2][2]*in1->m[3][3] + in1->m[1][0]*in1->m[2][3]*in1->m[3][2] + in1->m[2][0]*in1->m[1][2]*in1->m[3][3] - in1->m[2][0]*in1->m[1][3]*in1->m[3][2] - in1->m[3][0]*in1->m[1][2]*in1->m[2][3] + in1->m[3][0]*in1->m[1][3]*in1->m[2][2];
+ temp.m[2][0] = in1->m[1][0]*in1->m[2][1]*in1->m[3][3] - in1->m[1][0]*in1->m[2][3]*in1->m[3][1] - in1->m[2][0]*in1->m[1][1]*in1->m[3][3] + in1->m[2][0]*in1->m[1][3]*in1->m[3][1] + in1->m[3][0]*in1->m[1][1]*in1->m[2][3] - in1->m[3][0]*in1->m[1][3]*in1->m[2][1];
+ temp.m[3][0] = -in1->m[1][0]*in1->m[2][1]*in1->m[3][2] + in1->m[1][0]*in1->m[2][2]*in1->m[3][1] + in1->m[2][0]*in1->m[1][1]*in1->m[3][2] - in1->m[2][0]*in1->m[1][2]*in1->m[3][1] - in1->m[3][0]*in1->m[1][1]*in1->m[2][2] + in1->m[3][0]*in1->m[1][2]*in1->m[2][1];
+ temp.m[0][1] = -in1->m[0][1]*in1->m[2][2]*in1->m[3][3] + in1->m[0][1]*in1->m[2][3]*in1->m[3][2] + in1->m[2][1]*in1->m[0][2]*in1->m[3][3] - in1->m[2][1]*in1->m[0][3]*in1->m[3][2] - in1->m[3][1]*in1->m[0][2]*in1->m[2][3] + in1->m[3][1]*in1->m[0][3]*in1->m[2][2];
+ temp.m[1][1] = in1->m[0][0]*in1->m[2][2]*in1->m[3][3] - in1->m[0][0]*in1->m[2][3]*in1->m[3][2] - in1->m[2][0]*in1->m[0][2]*in1->m[3][3] + in1->m[2][0]*in1->m[0][3]*in1->m[3][2] + in1->m[3][0]*in1->m[0][2]*in1->m[2][3] - in1->m[3][0]*in1->m[0][3]*in1->m[2][2];
+ temp.m[2][1] = -in1->m[0][0]*in1->m[2][1]*in1->m[3][3] + in1->m[0][0]*in1->m[2][3]*in1->m[3][1] + in1->m[2][0]*in1->m[0][1]*in1->m[3][3] - in1->m[2][0]*in1->m[0][3]*in1->m[3][1] - in1->m[3][0]*in1->m[0][1]*in1->m[2][3] + in1->m[3][0]*in1->m[0][3]*in1->m[2][1];
+ temp.m[3][1] = in1->m[0][0]*in1->m[2][1]*in1->m[3][2] - in1->m[0][0]*in1->m[2][2]*in1->m[3][1] - in1->m[2][0]*in1->m[0][1]*in1->m[3][2] + in1->m[2][0]*in1->m[0][2]*in1->m[3][1] + in1->m[3][0]*in1->m[0][1]*in1->m[2][2] - in1->m[3][0]*in1->m[0][2]*in1->m[2][1];
+ temp.m[0][2] = in1->m[0][1]*in1->m[1][2]*in1->m[3][3] - in1->m[0][1]*in1->m[1][3]*in1->m[3][2] - in1->m[1][1]*in1->m[0][2]*in1->m[3][3] + in1->m[1][1]*in1->m[0][3]*in1->m[3][2] + in1->m[3][1]*in1->m[0][2]*in1->m[1][3] - in1->m[3][1]*in1->m[0][3]*in1->m[1][2];
+ temp.m[1][2] = -in1->m[0][0]*in1->m[1][2]*in1->m[3][3] + in1->m[0][0]*in1->m[1][3]*in1->m[3][2] + in1->m[1][0]*in1->m[0][2]*in1->m[3][3] - in1->m[1][0]*in1->m[0][3]*in1->m[3][2] - in1->m[3][0]*in1->m[0][2]*in1->m[1][3] + in1->m[3][0]*in1->m[0][3]*in1->m[1][2];
+ temp.m[2][2] = in1->m[0][0]*in1->m[1][1]*in1->m[3][3] - in1->m[0][0]*in1->m[1][3]*in1->m[3][1] - in1->m[1][0]*in1->m[0][1]*in1->m[3][3] + in1->m[1][0]*in1->m[0][3]*in1->m[3][1] + in1->m[3][0]*in1->m[0][1]*in1->m[1][3] - in1->m[3][0]*in1->m[0][3]*in1->m[1][1];
+ temp.m[3][2] = -in1->m[0][0]*in1->m[1][1]*in1->m[3][2] + in1->m[0][0]*in1->m[1][2]*in1->m[3][1] + in1->m[1][0]*in1->m[0][1]*in1->m[3][2] - in1->m[1][0]*in1->m[0][2]*in1->m[3][1] - in1->m[3][0]*in1->m[0][1]*in1->m[1][2] + in1->m[3][0]*in1->m[0][2]*in1->m[1][1];
+ temp.m[0][3] = -in1->m[0][1]*in1->m[1][2]*in1->m[2][3] + in1->m[0][1]*in1->m[1][3]*in1->m[2][2] + in1->m[1][1]*in1->m[0][2]*in1->m[2][3] - in1->m[1][1]*in1->m[0][3]*in1->m[2][2] - in1->m[2][1]*in1->m[0][2]*in1->m[1][3] + in1->m[2][1]*in1->m[0][3]*in1->m[1][2];
+ temp.m[1][3] = in1->m[0][0]*in1->m[1][2]*in1->m[2][3] - in1->m[0][0]*in1->m[1][3]*in1->m[2][2] - in1->m[1][0]*in1->m[0][2]*in1->m[2][3] + in1->m[1][0]*in1->m[0][3]*in1->m[2][2] + in1->m[2][0]*in1->m[0][2]*in1->m[1][3] - in1->m[2][0]*in1->m[0][3]*in1->m[1][2];
+ temp.m[2][3] = -in1->m[0][0]*in1->m[1][1]*in1->m[2][3] + in1->m[0][0]*in1->m[1][3]*in1->m[2][1] + in1->m[1][0]*in1->m[0][1]*in1->m[2][3] - in1->m[1][0]*in1->m[0][3]*in1->m[2][1] - in1->m[2][0]*in1->m[0][1]*in1->m[1][3] + in1->m[2][0]*in1->m[0][3]*in1->m[1][1];
+ temp.m[3][3] = in1->m[0][0]*in1->m[1][1]*in1->m[2][2] - in1->m[0][0]*in1->m[1][2]*in1->m[2][1] - in1->m[1][0]*in1->m[0][1]*in1->m[2][2] + in1->m[1][0]*in1->m[0][2]*in1->m[2][1] + in1->m[2][0]*in1->m[0][1]*in1->m[1][2] - in1->m[2][0]*in1->m[0][2]*in1->m[1][1];
+#else
+ temp.m[0][0] = in1->m[1][1]*in1->m[2][2]*in1->m[3][3] - in1->m[1][1]*in1->m[3][2]*in1->m[2][3] - in1->m[1][2]*in1->m[2][1]*in1->m[3][3] + in1->m[1][2]*in1->m[3][1]*in1->m[2][3] + in1->m[1][3]*in1->m[2][1]*in1->m[3][2] - in1->m[1][3]*in1->m[3][1]*in1->m[2][2];
+ temp.m[0][1] = -in1->m[0][1]*in1->m[2][2]*in1->m[3][3] + in1->m[0][1]*in1->m[3][2]*in1->m[2][3] + in1->m[0][2]*in1->m[2][1]*in1->m[3][3] - in1->m[0][2]*in1->m[3][1]*in1->m[2][3] - in1->m[0][3]*in1->m[2][1]*in1->m[3][2] + in1->m[0][3]*in1->m[3][1]*in1->m[2][2];
+ temp.m[0][2] = in1->m[0][1]*in1->m[1][2]*in1->m[3][3] - in1->m[0][1]*in1->m[3][2]*in1->m[1][3] - in1->m[0][2]*in1->m[1][1]*in1->m[3][3] + in1->m[0][2]*in1->m[3][1]*in1->m[1][3] + in1->m[0][3]*in1->m[1][1]*in1->m[3][2] - in1->m[0][3]*in1->m[3][1]*in1->m[1][2];
+ temp.m[0][3] = -in1->m[0][1]*in1->m[1][2]*in1->m[2][3] + in1->m[0][1]*in1->m[2][2]*in1->m[1][3] + in1->m[0][2]*in1->m[1][1]*in1->m[2][3] - in1->m[0][2]*in1->m[2][1]*in1->m[1][3] - in1->m[0][3]*in1->m[1][1]*in1->m[2][2] + in1->m[0][3]*in1->m[2][1]*in1->m[1][2];
+ temp.m[1][0] = -in1->m[1][0]*in1->m[2][2]*in1->m[3][3] + in1->m[1][0]*in1->m[3][2]*in1->m[2][3] + in1->m[1][2]*in1->m[2][0]*in1->m[3][3] - in1->m[1][2]*in1->m[3][0]*in1->m[2][3] - in1->m[1][3]*in1->m[2][0]*in1->m[3][2] + in1->m[1][3]*in1->m[3][0]*in1->m[2][2];
+ temp.m[1][1] = in1->m[0][0]*in1->m[2][2]*in1->m[3][3] - in1->m[0][0]*in1->m[3][2]*in1->m[2][3] - in1->m[0][2]*in1->m[2][0]*in1->m[3][3] + in1->m[0][2]*in1->m[3][0]*in1->m[2][3] + in1->m[0][3]*in1->m[2][0]*in1->m[3][2] - in1->m[0][3]*in1->m[3][0]*in1->m[2][2];
+ temp.m[1][2] = -in1->m[0][0]*in1->m[1][2]*in1->m[3][3] + in1->m[0][0]*in1->m[3][2]*in1->m[1][3] + in1->m[0][2]*in1->m[1][0]*in1->m[3][3] - in1->m[0][2]*in1->m[3][0]*in1->m[1][3] - in1->m[0][3]*in1->m[1][0]*in1->m[3][2] + in1->m[0][3]*in1->m[3][0]*in1->m[1][2];
+ temp.m[1][3] = in1->m[0][0]*in1->m[1][2]*in1->m[2][3] - in1->m[0][0]*in1->m[2][2]*in1->m[1][3] - in1->m[0][2]*in1->m[1][0]*in1->m[2][3] + in1->m[0][2]*in1->m[2][0]*in1->m[1][3] + in1->m[0][3]*in1->m[1][0]*in1->m[2][2] - in1->m[0][3]*in1->m[2][0]*in1->m[1][2];
+ temp.m[2][0] = in1->m[1][0]*in1->m[2][1]*in1->m[3][3] - in1->m[1][0]*in1->m[3][1]*in1->m[2][3] - in1->m[1][1]*in1->m[2][0]*in1->m[3][3] + in1->m[1][1]*in1->m[3][0]*in1->m[2][3] + in1->m[1][3]*in1->m[2][0]*in1->m[3][1] - in1->m[1][3]*in1->m[3][0]*in1->m[2][1];
+ temp.m[2][1] = -in1->m[0][0]*in1->m[2][1]*in1->m[3][3] + in1->m[0][0]*in1->m[3][1]*in1->m[2][3] + in1->m[0][1]*in1->m[2][0]*in1->m[3][3] - in1->m[0][1]*in1->m[3][0]*in1->m[2][3] - in1->m[0][3]*in1->m[2][0]*in1->m[3][1] + in1->m[0][3]*in1->m[3][0]*in1->m[2][1];
+ temp.m[2][2] = in1->m[0][0]*in1->m[1][1]*in1->m[3][3] - in1->m[0][0]*in1->m[3][1]*in1->m[1][3] - in1->m[0][1]*in1->m[1][0]*in1->m[3][3] + in1->m[0][1]*in1->m[3][0]*in1->m[1][3] + in1->m[0][3]*in1->m[1][0]*in1->m[3][1] - in1->m[0][3]*in1->m[3][0]*in1->m[1][1];
+ temp.m[2][3] = -in1->m[0][0]*in1->m[1][1]*in1->m[2][3] + in1->m[0][0]*in1->m[2][1]*in1->m[1][3] + in1->m[0][1]*in1->m[1][0]*in1->m[2][3] - in1->m[0][1]*in1->m[2][0]*in1->m[1][3] - in1->m[0][3]*in1->m[1][0]*in1->m[2][1] + in1->m[0][3]*in1->m[2][0]*in1->m[1][1];
+ temp.m[3][0] = -in1->m[1][0]*in1->m[2][1]*in1->m[3][2] + in1->m[1][0]*in1->m[3][1]*in1->m[2][2] + in1->m[1][1]*in1->m[2][0]*in1->m[3][2] - in1->m[1][1]*in1->m[3][0]*in1->m[2][2] - in1->m[1][2]*in1->m[2][0]*in1->m[3][1] + in1->m[1][2]*in1->m[3][0]*in1->m[2][1];
+ temp.m[3][1] = in1->m[0][0]*in1->m[2][1]*in1->m[3][2] - in1->m[0][0]*in1->m[3][1]*in1->m[2][2] - in1->m[0][1]*in1->m[2][0]*in1->m[3][2] + in1->m[0][1]*in1->m[3][0]*in1->m[2][2] + in1->m[0][2]*in1->m[2][0]*in1->m[3][1] - in1->m[0][2]*in1->m[3][0]*in1->m[2][1];
+ temp.m[3][2] = -in1->m[0][0]*in1->m[1][1]*in1->m[3][2] + in1->m[0][0]*in1->m[3][1]*in1->m[1][2] + in1->m[0][1]*in1->m[1][0]*in1->m[3][2] - in1->m[0][1]*in1->m[3][0]*in1->m[1][2] - in1->m[0][2]*in1->m[1][0]*in1->m[3][1] + in1->m[0][2]*in1->m[3][0]*in1->m[1][1];
+ temp.m[3][3] = in1->m[0][0]*in1->m[1][1]*in1->m[2][2] - in1->m[0][0]*in1->m[2][1]*in1->m[1][2] - in1->m[0][1]*in1->m[1][0]*in1->m[2][2] + in1->m[0][1]*in1->m[2][0]*in1->m[1][2] + in1->m[0][2]*in1->m[1][0]*in1->m[2][1] - in1->m[0][2]*in1->m[2][0]*in1->m[1][1];
+#endif
+
+ det = in1->m[0][0]*temp.m[0][0] + in1->m[1][0]*temp.m[0][1] + in1->m[2][0]*temp.m[0][2] + in1->m[3][0]*temp.m[0][3];
+ if (det == 0.0f)
+ return 0;
+
+ det = 1.0f / det;
+
+ for (i = 0;i < 4;i++)
+ for (j = 0;j < 4;j++)
+ out->m[i][j] = temp.m[i][j] * det;
+
+ return 1;
+}
+#else
int Matrix4x4_Invert_Full (matrix4x4_t *out, const matrix4x4_t *in1)
{
double *temp;
return 0;
}
+#endif
void Matrix4x4_Invert_Simple (matrix4x4_t *out, const matrix4x4_t *in1)
{
out->m[2][3] *= originscale;
#endif
}
+
+void Matrix4x4_Abs (matrix4x4_t *out)
+{
+ out->m[0][0] = fabs(out->m[0][0]);
+ out->m[0][1] = fabs(out->m[0][1]);
+ out->m[0][2] = fabs(out->m[0][2]);
+ out->m[1][0] = fabs(out->m[1][0]);
+ out->m[1][1] = fabs(out->m[1][1]);
+ out->m[1][2] = fabs(out->m[1][2]);
+ out->m[2][0] = fabs(out->m[2][0]);
+ out->m[2][1] = fabs(out->m[2][1]);
+ out->m[2][2] = fabs(out->m[2][2]);
+}
+