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Diffstat (limited to 'source/blender/blenlib/intern/matrixops.c')
-rw-r--r--source/blender/blenlib/intern/matrixops.c440
1 files changed, 440 insertions, 0 deletions
diff --git a/source/blender/blenlib/intern/matrixops.c b/source/blender/blenlib/intern/matrixops.c
new file mode 100644
index 00000000000..f33596d803a
--- /dev/null
+++ b/source/blender/blenlib/intern/matrixops.c
@@ -0,0 +1,440 @@
+/*
+ *
+ * Some matrix operations.
+ *
+ * Always use
+ * - vector with x components : float x[3], int x[3], etc
+ *
+ * $Id$
+ *
+ * ***** BEGIN GPL/BL DUAL LICENSE BLOCK *****
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version. The Blender
+ * Foundation also sells licenses for use in proprietary software under
+ * the Blender License. See http://www.blender.org/BL/ for information
+ * about this.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software Foundation,
+ * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+ *
+ * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
+ * All rights reserved.
+ *
+ * The Original Code is: all of this file.
+ *
+ * Contributor(s): none yet.
+ *
+ * ***** END GPL/BL DUAL LICENSE BLOCK *****
+ */
+
+/* ------------------------------------------------------------------------- */
+#include <string.h>
+#include "MTC_matrixops.h"
+#include "MTC_vectorops.h"
+/* ------------------------------------------------------------------------- */
+#ifdef WIN32
+#include "BLI_winstuff.h"
+#endif
+
+#ifdef __sun__
+#include <strings.h>
+#endif
+
+#define ABS(x) ((x) < 0 ? -(x) : (x))
+#define SWAP(type, a, b) { type sw_ap; sw_ap=(a); (a)=(b); (b)=sw_ap; }
+
+void MTC_Mat4CpyMat4(float m1[][4], float m2[][4])
+{
+ memcpy(m1, m2, 4*4*sizeof(float));
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4MulSerie(float answ[][4],
+ float m1[][4], float m2[][4], float m3[][4],
+ float m4[][4], float m5[][4], float m6[][4],
+ float m7[][4], float m8[][4])
+{
+ float temp[4][4];
+
+ if(m1==0 || m2==0) return;
+
+ MTC_Mat4MulMat4(answ, m2, m1);
+ if(m3) {
+ MTC_Mat4MulMat4(temp, m3, answ);
+ if(m4) {
+ MTC_Mat4MulMat4(answ, m4, temp);
+ if(m5) {
+ MTC_Mat4MulMat4(temp, m5, answ);
+ if(m6) {
+ MTC_Mat4MulMat4(answ, m6, temp);
+ if(m7) {
+ MTC_Mat4MulMat4(temp, m7, answ);
+ if(m8) {
+ MTC_Mat4MulMat4(answ, m8, temp);
+ }
+ else MTC_Mat4CpyMat4(answ, temp);
+ }
+ }
+ else MTC_Mat4CpyMat4(answ, temp);
+ }
+ }
+ else MTC_Mat4CpyMat4(answ, temp);
+ }
+}
+
+/* ------------------------------------------------------------------------- */
+void MTC_Mat4MulMat4(float m1[][4], float m2[][4], float m3[][4])
+{
+ /* matrix product: c[j][k] = a[j][i].b[i][k] */
+
+ m1[0][0] = m2[0][0]*m3[0][0] + m2[0][1]*m3[1][0] + m2[0][2]*m3[2][0] + m2[0][3]*m3[3][0];
+ m1[0][1] = m2[0][0]*m3[0][1] + m2[0][1]*m3[1][1] + m2[0][2]*m3[2][1] + m2[0][3]*m3[3][1];
+ m1[0][2] = m2[0][0]*m3[0][2] + m2[0][1]*m3[1][2] + m2[0][2]*m3[2][2] + m2[0][3]*m3[3][2];
+ m1[0][3] = m2[0][0]*m3[0][3] + m2[0][1]*m3[1][3] + m2[0][2]*m3[2][3] + m2[0][3]*m3[3][3];
+
+ m1[1][0] = m2[1][0]*m3[0][0] + m2[1][1]*m3[1][0] + m2[1][2]*m3[2][0] + m2[1][3]*m3[3][0];
+ m1[1][1] = m2[1][0]*m3[0][1] + m2[1][1]*m3[1][1] + m2[1][2]*m3[2][1] + m2[1][3]*m3[3][1];
+ m1[1][2] = m2[1][0]*m3[0][2] + m2[1][1]*m3[1][2] + m2[1][2]*m3[2][2] + m2[1][3]*m3[3][2];
+ m1[1][3] = m2[1][0]*m3[0][3] + m2[1][1]*m3[1][3] + m2[1][2]*m3[2][3] + m2[1][3]*m3[3][3];
+
+ m1[2][0] = m2[2][0]*m3[0][0] + m2[2][1]*m3[1][0] + m2[2][2]*m3[2][0] + m2[2][3]*m3[3][0];
+ m1[2][1] = m2[2][0]*m3[0][1] + m2[2][1]*m3[1][1] + m2[2][2]*m3[2][1] + m2[2][3]*m3[3][1];
+ m1[2][2] = m2[2][0]*m3[0][2] + m2[2][1]*m3[1][2] + m2[2][2]*m3[2][2] + m2[2][3]*m3[3][2];
+ m1[2][3] = m2[2][0]*m3[0][3] + m2[2][1]*m3[1][3] + m2[2][2]*m3[2][3] + m2[2][3]*m3[3][3];
+
+ m1[3][0] = m2[3][0]*m3[0][0] + m2[3][1]*m3[1][0] + m2[3][2]*m3[2][0] + m2[3][3]*m3[3][0];
+ m1[3][1] = m2[3][0]*m3[0][1] + m2[3][1]*m3[1][1] + m2[3][2]*m3[2][1] + m2[3][3]*m3[3][1];
+ m1[3][2] = m2[3][0]*m3[0][2] + m2[3][1]*m3[1][2] + m2[3][2]*m3[2][2] + m2[3][3]*m3[3][2];
+ m1[3][3] = m2[3][0]*m3[0][3] + m2[3][1]*m3[1][3] + m2[3][2]*m3[2][3] + m2[3][3]*m3[3][3];
+
+}
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4MulVecfl(float mat[][4], float *vec)
+{
+ float x,y;
+
+ x=vec[0];
+ y=vec[1];
+ vec[0]=x*mat[0][0] + y*mat[1][0] + mat[2][0]*vec[2] + mat[3][0];
+ vec[1]=x*mat[0][1] + y*mat[1][1] + mat[2][1]*vec[2] + mat[3][1];
+ vec[2]=x*mat[0][2] + y*mat[1][2] + mat[2][2]*vec[2] + mat[3][2];
+}
+
+/* ------------------------------------------------------------------------- */
+void MTC_Mat3MulVecfl(float mat[][3], float *vec)
+{
+ float x,y;
+
+ x=vec[0];
+ y=vec[1];
+ vec[0]= x*mat[0][0] + y*mat[1][0] + mat[2][0]*vec[2];
+ vec[1]= x*mat[0][1] + y*mat[1][1] + mat[2][1]*vec[2];
+ vec[2]= x*mat[0][2] + y*mat[1][2] + mat[2][2]*vec[2];
+}
+
+/* ------------------------------------------------------------------------- */
+
+int MTC_Mat4Invert(float inverse[][4], float mat[][4])
+{
+ int i, j, k;
+ double temp;
+ float tempmat[4][4];
+ float max;
+ int maxj;
+
+ /* Set inverse to identity */
+ for (i=0; i<4; i++)
+ for (j=0; j<4; j++)
+ inverse[i][j] = 0;
+ for (i=0; i<4; i++)
+ inverse[i][i] = 1;
+
+ /* Copy original matrix so we don't mess it up */
+ for(i = 0; i < 4; i++)
+ for(j = 0; j <4; j++)
+ tempmat[i][j] = mat[i][j];
+
+ for(i = 0; i < 4; i++) {
+ /* Look for row with max pivot */
+ max = ABS(tempmat[i][i]);
+ maxj = i;
+ for(j = i + 1; j < 4; j++) {
+ if(ABS(tempmat[j][i]) > max) {
+ max = ABS(tempmat[j][i]);
+ maxj = j;
+ }
+ }
+ /* Swap rows if necessary */
+ if (maxj != i) {
+ for( k = 0; k < 4; k++) {
+ SWAP(float, tempmat[i][k], tempmat[maxj][k]);
+ SWAP(float, inverse[i][k], inverse[maxj][k]);
+ }
+ }
+
+ temp = tempmat[i][i];
+ if (temp == 0)
+ return 0; /* No non-zero pivot */
+ for(k = 0; k < 4; k++) {
+ tempmat[i][k] /= temp;
+ inverse[i][k] /= temp;
+ }
+ for(j = 0; j < 4; j++) {
+ if(j != i) {
+ temp = tempmat[j][i];
+ for(k = 0; k < 4; k++) {
+ tempmat[j][k] -= tempmat[i][k]*temp;
+ inverse[j][k] -= inverse[i][k]*temp;
+ }
+ }
+ }
+ }
+ return 1;
+}
+
+/* ------------------------------------------------------------------------- */
+void MTC_Mat3CpyMat4(float m1[][3], float m2[][4])
+{
+
+ m1[0][0]= m2[0][0];
+ m1[0][1]= m2[0][1];
+ m1[0][2]= m2[0][2];
+
+ m1[1][0]= m2[1][0];
+ m1[1][1]= m2[1][1];
+ m1[1][2]= m2[1][2];
+
+ m1[2][0]= m2[2][0];
+ m1[2][1]= m2[2][1];
+ m1[2][2]= m2[2][2];
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat3CpyMat3(float m1[][3], float m2[][3])
+{
+ memcpy(m1, m2, 3*3*sizeof(float));
+}
+
+/* ------------------------------------------------------------------------- */
+/* void Mat3MulMat3(float m1[][3], float m3[][3], float m2[][3]) */
+void MTC_Mat3MulMat3(float m1[][3], float m3[][3], float m2[][3])
+{
+ /* be careful about this rewrite... */
+ /* m1[i][j] = m2[i][k]*m3[k][j], args are flipped! */
+ m1[0][0]= m2[0][0]*m3[0][0] + m2[0][1]*m3[1][0] + m2[0][2]*m3[2][0];
+ m1[0][1]= m2[0][0]*m3[0][1] + m2[0][1]*m3[1][1] + m2[0][2]*m3[2][1];
+ m1[0][2]= m2[0][0]*m3[0][2] + m2[0][1]*m3[1][2] + m2[0][2]*m3[2][2];
+
+ m1[1][0]= m2[1][0]*m3[0][0] + m2[1][1]*m3[1][0] + m2[1][2]*m3[2][0];
+ m1[1][1]= m2[1][0]*m3[0][1] + m2[1][1]*m3[1][1] + m2[1][2]*m3[2][1];
+ m1[1][2]= m2[1][0]*m3[0][2] + m2[1][1]*m3[1][2] + m2[1][2]*m3[2][2];
+
+ m1[2][0]= m2[2][0]*m3[0][0] + m2[2][1]*m3[1][0] + m2[2][2]*m3[2][0];
+ m1[2][1]= m2[2][0]*m3[0][1] + m2[2][1]*m3[1][1] + m2[2][2]*m3[2][1];
+ m1[2][2]= m2[2][0]*m3[0][2] + m2[2][1]*m3[1][2] + m2[2][2]*m3[2][2];
+
+/* m1[0]= m2[0]*m3[0] + m2[1]*m3[3] + m2[2]*m3[6]; */
+/* m1[1]= m2[0]*m3[1] + m2[1]*m3[4] + m2[2]*m3[7]; */
+/* m1[2]= m2[0]*m3[2] + m2[1]*m3[5] + m2[2]*m3[8]; */
+/* m1+=3; */
+/* m2+=3; */
+/* m1[0]= m2[0]*m3[0] + m2[1]*m3[3] + m2[2]*m3[6]; */
+/* m1[1]= m2[0]*m3[1] + m2[1]*m3[4] + m2[2]*m3[7]; */
+/* m1[2]= m2[0]*m3[2] + m2[1]*m3[5] + m2[2]*m3[8]; */
+/* m1+=3; */
+/* m2+=3; */
+/* m1[0]= m2[0]*m3[0] + m2[1]*m3[3] + m2[2]*m3[6]; */
+/* m1[1]= m2[0]*m3[1] + m2[1]*m3[4] + m2[2]*m3[7]; */
+/* m1[2]= m2[0]*m3[2] + m2[1]*m3[5] + m2[2]*m3[8]; */
+} /* end of void Mat3MulMat3(float m1[][3], float m3[][3], float m2[][3]) */
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4Ortho(float mat[][4])
+{
+ float len;
+
+ len= MTC_normalise3DF(mat[0]);
+ if(len!=0.0) mat[0][3]/= len;
+ len= MTC_normalise3DF(mat[1]);
+ if(len!=0.0) mat[1][3]/= len;
+ len= MTC_normalise3DF(mat[2]);
+ if(len!=0.0) mat[2][3]/= len;
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4Mul3Vecfl(float mat[][4], float *vec)
+{
+ float x,y;
+ /* vec = mat^T dot vec !!! or vec a row, then vec = vec dot mat*/
+
+ x= vec[0];
+ y= vec[1];
+ vec[0]= x*mat[0][0] + y*mat[1][0] + mat[2][0]*vec[2];
+ vec[1]= x*mat[0][1] + y*mat[1][1] + mat[2][1]*vec[2];
+ vec[2]= x*mat[0][2] + y*mat[1][2] + mat[2][2]*vec[2];
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4One(float m[][4])
+{
+
+ m[0][0]= m[1][1]= m[2][2]= m[3][3]= 1.0;
+ m[0][1]= m[0][2]= m[0][3]= 0.0;
+ m[1][0]= m[1][2]= m[1][3]= 0.0;
+ m[2][0]= m[2][1]= m[2][3]= 0.0;
+ m[3][0]= m[3][1]= m[3][2]= 0.0;
+}
+
+
+/* ------------------------------------------------------------------------- */
+/* Result is a 3-vector!*/
+void MTC_Mat3MulVecd(float mat[][3], double *vec)
+{
+ double x,y;
+
+ /* vec = mat^T dot vec !!! or vec a row, then vec = vec dot mat*/
+ x=vec[0];
+ y=vec[1];
+ vec[0]= x * mat[0][0] + y * mat[1][0] + mat[2][0] * vec[2];
+ vec[1]= x * mat[0][1] + y * mat[1][1] + mat[2][1] * vec[2];
+ vec[2]= x * mat[0][2] + y * mat[1][2] + mat[2][2] * vec[2];
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat3Inv(float m1[][3], float m2[][3])
+{
+ short a,b;
+ float det;
+
+ /* eerst adjoint */
+ MTC_Mat3Adj(m1,m2);
+
+ /* dan det oude mat! */
+ det= m2[0][0]* (m2[1][1]*m2[2][2] - m2[1][2]*m2[2][1])
+ -m2[1][0]* (m2[0][1]*m2[2][2] - m2[0][2]*m2[2][1])
+ +m2[2][0]* (m2[0][1]*m2[1][2] - m2[0][2]*m2[1][1]);
+
+ if(det==0) det=1;
+ det= 1/det;
+ for(a=0;a<3;a++) {
+ for(b=0;b<3;b++) {
+ m1[a][b]*=det;
+ }
+ }
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat3Adj(float m1[][3], float m[][3])
+{
+ m1[0][0]=m[1][1]*m[2][2]-m[1][2]*m[2][1];
+ m1[0][1]= -m[0][1]*m[2][2]+m[0][2]*m[2][1];
+ m1[0][2]=m[0][1]*m[1][2]-m[0][2]*m[1][1];
+
+ m1[1][0]= -m[1][0]*m[2][2]+m[1][2]*m[2][0];
+ m1[1][1]=m[0][0]*m[2][2]-m[0][2]*m[2][0];
+ m1[1][2]= -m[0][0]*m[1][2]+m[0][2]*m[1][0];
+
+ m1[2][0]=m[1][0]*m[2][1]-m[1][1]*m[2][0];
+ m1[2][1]= -m[0][0]*m[2][1]+m[0][1]*m[2][0];
+ m1[2][2]=m[0][0]*m[1][1]-m[0][1]*m[1][0];
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat3One(float m[][3])
+{
+
+ m[0][0]= m[1][1]= m[2][2]= 1.0;
+ m[0][1]= m[0][2]= 0.0;
+ m[1][0]= m[1][2]= 0.0;
+ m[2][0]= m[2][1]= 0.0;
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4SwapMat4(float m1[][4], float m2[][4])
+{
+ float t;
+ int i, j;
+
+ for(i = 0; i < 4; i++) {
+ for (j = 0; j < 4; j++) {
+ t = m1[i][j];
+ m1[i][j] = m2[i][j];
+ m2[i][j] = t;
+ }
+ }
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4MulVec4fl(float mat[][4], float *vec)
+{
+ float x,y,z;
+
+ x = vec[0];
+ y = vec[1];
+ z = vec[2];
+ vec[0] = x*mat[0][0] + y*mat[1][0] + z*mat[2][0] + mat[3][0]*vec[3];
+ vec[1] = x*mat[0][1] + y*mat[1][1] + z*mat[2][1] + mat[3][1]*vec[3];
+ vec[2] = x*mat[0][2] + y*mat[1][2] + z*mat[2][2] + mat[3][2]*vec[3];
+ vec[3] = x*mat[0][3] + y*mat[1][3] + z*mat[2][3] + mat[3][3]*vec[3];
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4CpyMat3nc(float m1[][4], float m2[][3]) /* no clear */
+{
+ m1[0][0]= m2[0][0];
+ m1[0][1]= m2[0][1];
+ m1[0][2]= m2[0][2];
+
+ m1[1][0]= m2[1][0];
+ m1[1][1]= m2[1][1];
+ m1[1][2]= m2[1][2];
+
+ m1[2][0]= m2[2][0];
+ m1[2][1]= m2[2][1];
+ m1[2][2]= m2[2][2];
+}
+
+/* ------------------------------------------------------------------------- */
+
+void MTC_Mat4MulMat33(float m1[][3], float m2[][4], float m3[][3])
+{
+ /* m1_i_j = m2_i_k * m3_k_j ? */
+
+ m1[0][0] = m2[0][0]*m3[0][0] + m2[0][1]*m3[1][0] + m2[0][2]*m3[2][0];
+ m1[0][1] = m2[0][0]*m3[0][1] + m2[0][1]*m3[1][1] + m2[0][2]*m3[2][1];
+ m1[0][2] = m2[0][0]*m3[0][2] + m2[0][1]*m3[1][2] + m2[0][2]*m3[2][2];
+
+ m1[1][0] = m2[1][0]*m3[0][0] + m2[1][1]*m3[1][0] + m2[1][2]*m3[2][0];
+ m1[1][1] = m2[1][0]*m3[0][1] + m2[1][1]*m3[1][1] + m2[1][2]*m3[2][1];
+ m1[1][2] = m2[1][0]*m3[0][2] + m2[1][1]*m3[1][2] + m2[1][2]*m3[2][2];
+
+ m1[2][0] = m2[2][0]*m3[0][0] + m2[2][1]*m3[1][0] + m2[2][2]*m3[2][0];
+ m1[2][1] = m2[2][0]*m3[0][1] + m2[2][1]*m3[1][1] + m2[2][2]*m3[2][1];
+ m1[2][2] = m2[2][0]*m3[0][2] + m2[2][1]*m3[1][2] + m2[2][2]*m3[2][2];
+
+}
+
+/* ------------------------------------------------------------------------- */
+
+/* eof */