Move the transform and lighting code to two new directories

	math:  Provides basic matrix and vector functionality that
               might be useful to multiple software t&l
	       implementations, and is used by core mesa to
	       manage the Model, Project, etc matrices.

	tnl:   The real transform & lighting code from core mesa,
	       including everything from glVertex3f through vertex
	       buffer handling, transformation, clipping, lighting
	       and handoff to a driver for rasterization.

The interfaces of these can be further tightened up, but the basic
splitting up of state and code move is done.

1 files changed, 50 insertions, 1101 deletions

diff --git a/src/mesa/main/matrix.c b/src/mesa/main/matrix.c
index 7cf464e07bf..227f54b73d5 100644
--- a/src/mesa/main/matrix.c
+++ b/src/mesa/main/matrix.c
@@ -1,4 +1,4 @@
-/* $Id: matrix.c,v 1.25 2000/11/13 20:02:56 keithw Exp $ */
+/* $Id: matrix.c,v 1.26 2000/11/16 21:05:35 keithw Exp $ */
 
 /*
  * Mesa 3-D graphics library
@@ -47,936 +47,9 @@
 #include "mem.h"
 #include "mmath.h"
 #include "types.h"
-#endif
-
-
-static const char *types[] = {
-   "MATRIX_GENERAL",
-   "MATRIX_IDENTITY",
-   "MATRIX_3D_NO_ROT",
-   "MATRIX_PERSPECTIVE",
-   "MATRIX_2D",
-   "MATRIX_2D_NO_ROT",
-   "MATRIX_3D"
-};
-
-
-static GLfloat Identity[16] = {
-   1.0, 0.0, 0.0, 0.0,
-   0.0, 1.0, 0.0, 0.0,
-   0.0, 0.0, 1.0, 0.0,
-   0.0, 0.0, 0.0, 1.0
-};
-
-
-
-static void matmul4( GLfloat *product, const GLfloat *a, const GLfloat *b );
-
-
-static void print_matrix_floats( const GLfloat m[16] )
-{
-   int i;
-   for (i=0;i<4;i++) {
-      fprintf(stderr,"\t%f %f %f %f\n", m[i], m[4+i], m[8+i], m[12+i] );
-   }
-}
-
-void gl_print_matrix( const GLmatrix *m )
-{
-   fprintf(stderr, "Matrix type: %s, flags: %x\n", types[m->type], m->flags);
-   print_matrix_floats(m->m);
-   fprintf(stderr, "Inverse: \n");
-   if (m->inv) {
-      GLfloat prod[16];
-      print_matrix_floats(m->inv);
-      matmul4(prod, m->m, m->inv);
-      fprintf(stderr, "Mat * Inverse:\n");
-      print_matrix_floats(prod);
-   }
-   else {
-      fprintf(stderr, "  - not available\n");
-   }
-}
-
-
-
-/*
- * This matmul was contributed by Thomas Malik 
- *
- * Perform a 4x4 matrix multiplication  (product = a x b).
- * Input:  a, b - matrices to multiply
- * Output:  product - product of a and b
- * WARNING: (product != b) assumed
- * NOTE:    (product == a) allowed    
- *
- * KW: 4*16 = 64 muls
- */
-#define A(row,col)  a[(col<<2)+row]
-#define B(row,col)  b[(col<<2)+row]
-#define P(row,col)  product[(col<<2)+row]
-
-static void matmul4( GLfloat *product, const GLfloat *a, const GLfloat *b )
-{
-   GLint i;
-   for (i = 0; i < 4; i++) {
-      const GLfloat ai0=A(i,0),  ai1=A(i,1),  ai2=A(i,2),  ai3=A(i,3);
-      P(i,0) = ai0 * B(0,0) + ai1 * B(1,0) + ai2 * B(2,0) + ai3 * B(3,0);
-      P(i,1) = ai0 * B(0,1) + ai1 * B(1,1) + ai2 * B(2,1) + ai3 * B(3,1);
-      P(i,2) = ai0 * B(0,2) + ai1 * B(1,2) + ai2 * B(2,2) + ai3 * B(3,2);
-      P(i,3) = ai0 * B(0,3) + ai1 * B(1,3) + ai2 * B(2,3) + ai3 * B(3,3);
-   }
-}
-
-
-/* Multiply two matrices known to occupy only the top three rows,
- * such as typical modelling matrices, and ortho matrices.
- */
-static void matmul34( GLfloat *product, const GLfloat *a, const GLfloat *b )
-{
-   GLint i;
-   for (i = 0; i < 3; i++) {
-      const GLfloat ai0=A(i,0),  ai1=A(i,1),  ai2=A(i,2),  ai3=A(i,3);
-      P(i,0) = ai0 * B(0,0) + ai1 * B(1,0) + ai2 * B(2,0);
-      P(i,1) = ai0 * B(0,1) + ai1 * B(1,1) + ai2 * B(2,1);
-      P(i,2) = ai0 * B(0,2) + ai1 * B(1,2) + ai2 * B(2,2);
-      P(i,3) = ai0 * B(0,3) + ai1 * B(1,3) + ai2 * B(2,3) + ai3;
-   }
-   P(3,0) = 0;
-   P(3,1) = 0;
-   P(3,2) = 0;
-   P(3,3) = 1;
-}
-
-static void matmul4fd( GLfloat *product, const GLfloat *a, const GLdouble *b )
-{
-   GLint i;
-   for (i = 0; i < 4; i++) {
-      const GLfloat ai0=A(i,0),  ai1=A(i,1),  ai2=A(i,2),  ai3=A(i,3);
-      P(i,0) = ai0 * B(0,0) + ai1 * B(1,0) + ai2 * B(2,0) + ai3 * B(3,0);
-      P(i,1) = ai0 * B(0,1) + ai1 * B(1,1) + ai2 * B(2,1) + ai3 * B(3,1);
-      P(i,2) = ai0 * B(0,2) + ai1 * B(1,2) + ai2 * B(2,2) + ai3 * B(3,2);
-      P(i,3) = ai0 * B(0,3) + ai1 * B(1,3) + ai2 * B(2,3) + ai3 * B(3,3);
-   }
-}
-
-#undef A
-#undef B
-#undef P
-
-
-#define SWAP_ROWS(a, b) { GLfloat *_tmp = a; (a)=(b); (b)=_tmp; }
-#define MAT(m,r,c) (m)[(c)*4+(r)]
-
-/*
- * Compute inverse of 4x4 transformation matrix.
- * Code contributed by Jacques Leroy [email protected]
- * Return GL_TRUE for success, GL_FALSE for failure (singular matrix)
- */
-static GLboolean invert_matrix_general( GLmatrix *mat )
-{
-   const GLfloat *m = mat->m;
-   GLfloat *out = mat->inv;
-   GLfloat wtmp[4][8];
-   GLfloat m0, m1, m2, m3, s;
-   GLfloat *r0, *r1, *r2, *r3;
-  
-   r0 = wtmp[0], r1 = wtmp[1], r2 = wtmp[2], r3 = wtmp[3];
-  
-   r0[0] = MAT(m,0,0), r0[1] = MAT(m,0,1),
-   r0[2] = MAT(m,0,2), r0[3] = MAT(m,0,3),
-   r0[4] = 1.0, r0[5] = r0[6] = r0[7] = 0.0,
-  
-   r1[0] = MAT(m,1,0), r1[1] = MAT(m,1,1),
-   r1[2] = MAT(m,1,2), r1[3] = MAT(m,1,3),
-   r1[5] = 1.0, r1[4] = r1[6] = r1[7] = 0.0,
-  
-   r2[0] = MAT(m,2,0), r2[1] = MAT(m,2,1),
-   r2[2] = MAT(m,2,2), r2[3] = MAT(m,2,3),
-   r2[6] = 1.0, r2[4] = r2[5] = r2[7] = 0.0,
-  
-   r3[0] = MAT(m,3,0), r3[1] = MAT(m,3,1),
-   r3[2] = MAT(m,3,2), r3[3] = MAT(m,3,3),
-   r3[7] = 1.0, r3[4] = r3[5] = r3[6] = 0.0;
-  
-   /* choose pivot - or die */
-   if (fabs(r3[0])>fabs(r2[0])) SWAP_ROWS(r3, r2);
-   if (fabs(r2[0])>fabs(r1[0])) SWAP_ROWS(r2, r1);
-   if (fabs(r1[0])>fabs(r0[0])) SWAP_ROWS(r1, r0);
-   if (0.0 == r0[0])  return GL_FALSE;
-  
-   /* eliminate first variable     */
-   m1 = r1[0]/r0[0]; m2 = r2[0]/r0[0]; m3 = r3[0]/r0[0];
-   s = r0[1]; r1[1] -= m1 * s; r2[1] -= m2 * s; r3[1] -= m3 * s;
-   s = r0[2]; r1[2] -= m1 * s; r2[2] -= m2 * s; r3[2] -= m3 * s;
-   s = r0[3]; r1[3] -= m1 * s; r2[3] -= m2 * s; r3[3] -= m3 * s;
-   s = r0[4];
-   if (s != 0.0) { r1[4] -= m1 * s; r2[4] -= m2 * s; r3[4] -= m3 * s; }
-   s = r0[5];
-   if (s != 0.0) { r1[5] -= m1 * s; r2[5] -= m2 * s; r3[5] -= m3 * s; }
-   s = r0[6];
-   if (s != 0.0) { r1[6] -= m1 * s; r2[6] -= m2 * s; r3[6] -= m3 * s; }
-   s = r0[7];
-   if (s != 0.0) { r1[7] -= m1 * s; r2[7] -= m2 * s; r3[7] -= m3 * s; }
-  
-   /* choose pivot - or die */
-   if (fabs(r3[1])>fabs(r2[1])) SWAP_ROWS(r3, r2);
-   if (fabs(r2[1])>fabs(r1[1])) SWAP_ROWS(r2, r1);
-   if (0.0 == r1[1])  return GL_FALSE;
-  
-   /* eliminate second variable */
-   m2 = r2[1]/r1[1]; m3 = r3[1]/r1[1];
-   r2[2] -= m2 * r1[2]; r3[2] -= m3 * r1[2];
-   r2[3] -= m2 * r1[3]; r3[3] -= m3 * r1[3];
-   s = r1[4]; if (0.0 != s) { r2[4] -= m2 * s; r3[4] -= m3 * s; }
-   s = r1[5]; if (0.0 != s) { r2[5] -= m2 * s; r3[5] -= m3 * s; }
-   s = r1[6]; if (0.0 != s) { r2[6] -= m2 * s; r3[6] -= m3 * s; }
-   s = r1[7]; if (0.0 != s) { r2[7] -= m2 * s; r3[7] -= m3 * s; }
-  
-   /* choose pivot - or die */
-   if (fabs(r3[2])>fabs(r2[2])) SWAP_ROWS(r3, r2);
-   if (0.0 == r2[2])  return GL_FALSE;
-  
-   /* eliminate third variable */
-   m3 = r3[2]/r2[2];
-   r3[3] -= m3 * r2[3], r3[4] -= m3 * r2[4],
-   r3[5] -= m3 * r2[5], r3[6] -= m3 * r2[6],
-   r3[7] -= m3 * r2[7];
-  
-   /* last check */
-   if (0.0 == r3[3]) return GL_FALSE;
-  
-   s = 1.0/r3[3];              /* now back substitute row 3 */
-   r3[4] *= s; r3[5] *= s; r3[6] *= s; r3[7] *= s;
-  
-   m2 = r2[3];                 /* now back substitute row 2 */
-   s  = 1.0/r2[2];
-   r2[4] = s * (r2[4] - r3[4] * m2), r2[5] = s * (r2[5] - r3[5] * m2),
-   r2[6] = s * (r2[6] - r3[6] * m2), r2[7] = s * (r2[7] - r3[7] * m2);
-   m1 = r1[3];
-   r1[4] -= r3[4] * m1, r1[5] -= r3[5] * m1,
-   r1[6] -= r3[6] * m1, r1[7] -= r3[7] * m1;
-   m0 = r0[3];
-   r0[4] -= r3[4] * m0, r0[5] -= r3[5] * m0,
-   r0[6] -= r3[6] * m0, r0[7] -= r3[7] * m0;
-  
-   m1 = r1[2];                 /* now back substitute row 1 */
-   s  = 1.0/r1[1];
-   r1[4] = s * (r1[4] - r2[4] * m1), r1[5] = s * (r1[5] - r2[5] * m1),
-   r1[6] = s * (r1[6] - r2[6] * m1), r1[7] = s * (r1[7] - r2[7] * m1);
-   m0 = r0[2];
-   r0[4] -= r2[4] * m0, r0[5] -= r2[5] * m0,
-   r0[6] -= r2[6] * m0, r0[7] -= r2[7] * m0;
-  
-   m0 = r0[1];                 /* now back substitute row 0 */
-   s  = 1.0/r0[0];
-   r0[4] = s * (r0[4] - r1[4] * m0), r0[5] = s * (r0[5] - r1[5] * m0),
-   r0[6] = s * (r0[6] - r1[6] * m0), r0[7] = s * (r0[7] - r1[7] * m0);
-  
-   MAT(out,0,0) = r0[4]; MAT(out,0,1) = r0[5],
-   MAT(out,0,2) = r0[6]; MAT(out,0,3) = r0[7],
-   MAT(out,1,0) = r1[4]; MAT(out,1,1) = r1[5],
-   MAT(out,1,2) = r1[6]; MAT(out,1,3) = r1[7],
-   MAT(out,2,0) = r2[4]; MAT(out,2,1) = r2[5],
-   MAT(out,2,2) = r2[6]; MAT(out,2,3) = r2[7],
-   MAT(out,3,0) = r3[4]; MAT(out,3,1) = r3[5],
-   MAT(out,3,2) = r3[6]; MAT(out,3,3) = r3[7]; 
-  
-   return GL_TRUE;
-}
-#undef SWAP_ROWS
-
-
-/* Adapted from graphics gems II.
- */  
-static GLboolean invert_matrix_3d_general( GLmatrix *mat )
-{
-   const GLfloat *in = mat->m;
-   GLfloat *out = mat->inv;
-   GLfloat pos, neg, t;
-   GLfloat det;
-
-   /* Calculate the determinant of upper left 3x3 submatrix and
-    * determine if the matrix is singular. 
-    */
-   pos = neg = 0.0;
-   t =  MAT(in,0,0) * MAT(in,1,1) * MAT(in,2,2);
-   if (t >= 0.0) pos += t; else neg += t;
-
-   t =  MAT(in,1,0) * MAT(in,2,1) * MAT(in,0,2);
-   if (t >= 0.0) pos += t; else neg += t;
-
-   t =  MAT(in,2,0) * MAT(in,0,1) * MAT(in,1,2);
-   if (t >= 0.0) pos += t; else neg += t;
-
-   t = -MAT(in,2,0) * MAT(in,1,1) * MAT(in,0,2);
-   if (t >= 0.0) pos += t; else neg += t;
-
-   t = -MAT(in,1,0) * MAT(in,0,1) * MAT(in,2,2);
-   if (t >= 0.0) pos += t; else neg += t;
-
-   t = -MAT(in,0,0) * MAT(in,2,1) * MAT(in,1,2);
-   if (t >= 0.0) pos += t; else neg += t;
-
-   det = pos + neg;
-
-   if (det*det < 1e-25) 
-      return GL_FALSE;
-   
-   det = 1.0 / det;
-   MAT(out,0,0) = (  (MAT(in,1,1)*MAT(in,2,2) - MAT(in,2,1)*MAT(in,1,2) )*det);
-   MAT(out,0,1) = (- (MAT(in,0,1)*MAT(in,2,2) - MAT(in,2,1)*MAT(in,0,2) )*det);
-   MAT(out,0,2) = (  (MAT(in,0,1)*MAT(in,1,2) - MAT(in,1,1)*MAT(in,0,2) )*det);
-   MAT(out,1,0) = (- (MAT(in,1,0)*MAT(in,2,2) - MAT(in,2,0)*MAT(in,1,2) )*det);
-   MAT(out,1,1) = (  (MAT(in,0,0)*MAT(in,2,2) - MAT(in,2,0)*MAT(in,0,2) )*det);
-   MAT(out,1,2) = (- (MAT(in,0,0)*MAT(in,1,2) - MAT(in,1,0)*MAT(in,0,2) )*det);
-   MAT(out,2,0) = (  (MAT(in,1,0)*MAT(in,2,1) - MAT(in,2,0)*MAT(in,1,1) )*det);
-   MAT(out,2,1) = (- (MAT(in,0,0)*MAT(in,2,1) - MAT(in,2,0)*MAT(in,0,1) )*det);
-   MAT(out,2,2) = (  (MAT(in,0,0)*MAT(in,1,1) - MAT(in,1,0)*MAT(in,0,1) )*det);
-
-   /* Do the translation part */
-   MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0) +
-		     MAT(in,1,3) * MAT(out,0,1) +
-		     MAT(in,2,3) * MAT(out,0,2) );
-   MAT(out,1,3) = - (MAT(in,0,3) * MAT(out,1,0) +
-		     MAT(in,1,3) * MAT(out,1,1) +
-		     MAT(in,2,3) * MAT(out,1,2) );
-   MAT(out,2,3) = - (MAT(in,0,3) * MAT(out,2,0) +
-		     MAT(in,1,3) * MAT(out,2,1) +
-		     MAT(in,2,3) * MAT(out,2,2) );
-    
-   return GL_TRUE;
-}
-
-
-static GLboolean invert_matrix_3d( GLmatrix *mat )
-{
-   const GLfloat *in = mat->m;
-   GLfloat *out = mat->inv;
-
-   if (!TEST_MAT_FLAGS(mat, MAT_FLAGS_ANGLE_PRESERVING)) {
-      return invert_matrix_3d_general( mat );
-   }
-   
-   if (mat->flags & MAT_FLAG_UNIFORM_SCALE) {
-      GLfloat scale = (MAT(in,0,0) * MAT(in,0,0) +
-                       MAT(in,0,1) * MAT(in,0,1) +
-                       MAT(in,0,2) * MAT(in,0,2));
-
-      if (scale == 0.0) 
-         return GL_FALSE;
-
-      scale = 1.0 / scale;
-
-      /* Transpose and scale the 3 by 3 upper-left submatrix. */
-      MAT(out,0,0) = scale * MAT(in,0,0);
-      MAT(out,1,0) = scale * MAT(in,0,1);
-      MAT(out,2,0) = scale * MAT(in,0,2);
-      MAT(out,0,1) = scale * MAT(in,1,0);
-      MAT(out,1,1) = scale * MAT(in,1,1);
-      MAT(out,2,1) = scale * MAT(in,1,2);
-      MAT(out,0,2) = scale * MAT(in,2,0);
-      MAT(out,1,2) = scale * MAT(in,2,1);
-      MAT(out,2,2) = scale * MAT(in,2,2);
-   }
-   else if (mat->flags & MAT_FLAG_ROTATION) {
-      /* Transpose the 3 by 3 upper-left submatrix. */
-      MAT(out,0,0) = MAT(in,0,0);
-      MAT(out,1,0) = MAT(in,0,1);
-      MAT(out,2,0) = MAT(in,0,2);
-      MAT(out,0,1) = MAT(in,1,0);
-      MAT(out,1,1) = MAT(in,1,1);
-      MAT(out,2,1) = MAT(in,1,2);
-      MAT(out,0,2) = MAT(in,2,0);
-      MAT(out,1,2) = MAT(in,2,1);
-      MAT(out,2,2) = MAT(in,2,2);
-   }
-   else {
-      /* pure translation */
-      MEMCPY( out, Identity, sizeof(Identity) );
-      MAT(out,0,3) = - MAT(in,0,3);
-      MAT(out,1,3) = - MAT(in,1,3);
-      MAT(out,2,3) = - MAT(in,2,3);
-      return GL_TRUE;
-   }
-    
-   if (mat->flags & MAT_FLAG_TRANSLATION) {
-      /* Do the translation part */
-      MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0) +
-			MAT(in,1,3) * MAT(out,0,1) +
-			MAT(in,2,3) * MAT(out,0,2) );
-      MAT(out,1,3) = - (MAT(in,0,3) * MAT(out,1,0) +
-			MAT(in,1,3) * MAT(out,1,1) +
-			MAT(in,2,3) * MAT(out,1,2) );
-      MAT(out,2,3) = - (MAT(in,0,3) * MAT(out,2,0) +
-			MAT(in,1,3) * MAT(out,2,1) +
-			MAT(in,2,3) * MAT(out,2,2) );
-   }
-   else {
-      MAT(out,0,3) = MAT(out,1,3) = MAT(out,2,3) = 0.0;
-   }
-    
-   return GL_TRUE;
-}
-
-  
-
-static GLboolean invert_matrix_identity( GLmatrix *mat )
-{
-   MEMCPY( mat->inv, Identity, sizeof(Identity) );
-   return GL_TRUE;
-}
-
-
-static GLboolean invert_matrix_3d_no_rot( GLmatrix *mat )
-{
-   const GLfloat *in = mat->m;
-   GLfloat *out = mat->inv;
-
-   if (MAT(in,0,0) == 0 || MAT(in,1,1) == 0 || MAT(in,2,2) == 0 )       
-      return GL_FALSE;
-  
-   MEMCPY( out, Identity, 16 * sizeof(GLfloat) );
-   MAT(out,0,0) = 1.0 / MAT(in,0,0);
-   MAT(out,1,1) = 1.0 / MAT(in,1,1);
-   MAT(out,2,2) = 1.0 / MAT(in,2,2);
-
-   if (mat->flags & MAT_FLAG_TRANSLATION) {
-      MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0));
-      MAT(out,1,3) = - (MAT(in,1,3) * MAT(out,1,1));
-      MAT(out,2,3) = - (MAT(in,2,3) * MAT(out,2,2));
-   }
-
-   return GL_TRUE;
-}
-
-
-static GLboolean invert_matrix_2d_no_rot( GLmatrix *mat )
-{
-   const GLfloat *in = mat->m;
-   GLfloat *out = mat->inv;
-
-   if (MAT(in,0,0) == 0 || MAT(in,1,1) == 0)       
-      return GL_FALSE;
-  
-   MEMCPY( out, Identity, 16 * sizeof(GLfloat) );
-   MAT(out,0,0) = 1.0 / MAT(in,0,0);
-   MAT(out,1,1) = 1.0 / MAT(in,1,1);
-
-   if (mat->flags & MAT_FLAG_TRANSLATION) {
-      MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0));
-      MAT(out,1,3) = - (MAT(in,1,3) * MAT(out,1,1));
-   }
-
-   return GL_TRUE;
-}
-
-
-static GLboolean invert_matrix_perspective( GLmatrix *mat )
-{
-   const GLfloat *in = mat->m;
-   GLfloat *out = mat->inv;
-
-   if (MAT(in,2,3) == 0)
-      return GL_FALSE;
-
-   MEMCPY( out, Identity, 16 * sizeof(GLfloat) );
-
-   MAT(out,0,0) = 1.0 / MAT(in,0,0);
-   MAT(out,1,1) = 1.0 / MAT(in,1,1);
-
-   MAT(out,0,3) = MAT(in,0,2);
-   MAT(out,1,3) = MAT(in,1,2);
-
-   MAT(out,2,2) = 0;
-   MAT(out,2,3) = -1;
-
-   MAT(out,3,2) = 1.0 / MAT(in,2,3);
-   MAT(out,3,3) = MAT(in,2,2) * MAT(out,3,2);
-
-   return GL_TRUE;
-}
-
-
-typedef GLboolean (*inv_mat_func)( GLmatrix *mat );
-
-
-static inv_mat_func inv_mat_tab[7] = {
-   invert_matrix_general,
-   invert_matrix_identity,
-   invert_matrix_3d_no_rot,
-   invert_matrix_perspective,
-   invert_matrix_3d,		/* lazy! */
-   invert_matrix_2d_no_rot,
-   invert_matrix_3d
-};
-
-
-static GLboolean matrix_invert( GLmatrix *mat )
-{
-   if (inv_mat_tab[mat->type](mat)) {
-      mat->flags &= ~MAT_FLAG_SINGULAR;
-      return GL_TRUE;
-   } else {
-      mat->flags |= MAT_FLAG_SINGULAR;
-      MEMCPY( mat->inv, Identity, sizeof(Identity) );
-      return GL_FALSE;
-   }  
-}
-
-
-
-void gl_matrix_transposef( GLfloat to[16], const GLfloat from[16] )
-{
-   to[0] = from[0];
-   to[1] = from[4];
-   to[2] = from[8];
-   to[3] = from[12];
-   to[4] = from[1];
-   to[5] = from[5];
-   to[6] = from[9];
-   to[7] = from[13];
-   to[8] = from[2];
-   to[9] = from[6];
-   to[10] = from[10];
-   to[11] = from[14];
-   to[12] = from[3];
-   to[13] = from[7];
-   to[14] = from[11];
-   to[15] = from[15];
-}
-
-
-
-void gl_matrix_transposed( GLdouble to[16], const GLdouble from[16] )
-{
-   to[0] = from[0];
-   to[1] = from[4];
-   to[2] = from[8];
-   to[3] = from[12];
-   to[4] = from[1];
-   to[5] = from[5];
-   to[6] = from[9];
-   to[7] = from[13];
-   to[8] = from[2];
-   to[9] = from[6];
-   to[10] = from[10];
-   to[11] = from[14];
-   to[12] = from[3];
-   to[13] = from[7];
-   to[14] = from[11];
-   to[15] = from[15];
-}
-
-
-
-/*
- * Generate a 4x4 transformation matrix from glRotate parameters.
- */
-void gl_rotation_matrix( GLfloat angle, GLfloat x, GLfloat y, GLfloat z,
-                         GLfloat m[] )
-{
-   /* This function contributed by Erich Boleyn ([email protected]) */
-   GLfloat mag, s, c;
-   GLfloat xx, yy, zz, xy, yz, zx, xs, ys, zs, one_c;
-
-   s = sin( angle * DEG2RAD );
-   c = cos( angle * DEG2RAD );
-
-   mag = GL_SQRT( x*x + y*y + z*z );
-
-   if (mag <= 1.0e-4) {
-      /* generate an identity matrix and return */
-      MEMCPY(m, Identity, sizeof(GLfloat)*16);
-      return;
-   }
-
-   x /= mag;
-   y /= mag;
-   z /= mag;
-
-#define M(row,col)  m[col*4+row]
-
-   /*
-    *     Arbitrary axis rotation matrix.
-    *
-    *  This is composed of 5 matrices, Rz, Ry, T, Ry', Rz', multiplied
-    *  like so:  Rz * Ry * T * Ry' * Rz'.  T is the final rotation
-    *  (which is about the X-axis), and the two composite transforms
-    *  Ry' * Rz' and Rz * Ry are (respectively) the rotations necessary
-    *  from the arbitrary axis to the X-axis then back.  They are
-    *  all elementary rotations.
-    *
-    *  Rz' is a rotation about the Z-axis, to bring the axis vector
-    *  into the x-z plane.  Then Ry' is applied, rotating about the
-    *  Y-axis to bring the axis vector parallel with the X-axis.  The
-    *  rotation about the X-axis is then performed.  Ry and Rz are
-    *  simply the respective inverse transforms to bring the arbitrary
-    *  axis back to it's original orientation.  The first transforms
-    *  Rz' and Ry' are considered inverses, since the data from the
-    *  arbitrary axis gives you info on how to get to it, not how
-    *  to get away from it, and an inverse must be applied.
-    *
-    *  The basic calculation used is to recognize that the arbitrary
-    *  axis vector (x, y, z), since it is of unit length, actually
-    *  represents the sines and cosines of the angles to rotate the
-    *  X-axis to the same orientation, with theta being the angle about
-    *  Z and phi the angle about Y (in the order described above)
-    *  as follows:
-    *
-    *  cos ( theta ) = x / sqrt ( 1 - z^2 )
-    *  sin ( theta ) = y / sqrt ( 1 - z^2 )
-    *
-    *  cos ( phi ) = sqrt ( 1 - z^2 )
-    *  sin ( phi ) = z
-    *
-    *  Note that cos ( phi ) can further be inserted to the above
-    *  formulas:
-    *
-    *  cos ( theta ) = x / cos ( phi )
-    *  sin ( theta ) = y / sin ( phi )
-    *
-    *  ...etc.  Because of those relations and the standard trigonometric
-    *  relations, it is pssible to reduce the transforms down to what
-    *  is used below.  It may be that any primary axis chosen will give the
-    *  same results (modulo a sign convention) using thie method.
-    *
-    *  Particularly nice is to notice that all divisions that might
-    *  have caused trouble when parallel to certain planes or
-    *  axis go away with care paid to reducing the expressions.
-    *  After checking, it does perform correctly under all cases, since
-    *  in all the cases of division where the denominator would have
-    *  been zero, the numerator would have been zero as well, giving
-    *  the expected result.
-    */
-
-   xx = x * x;
-   yy = y * y;
-   zz = z * z;
-   xy = x * y;
-   yz = y * z;
-   zx = z * x;
-   xs = x * s;
-   ys = y * s;
-   zs = z * s;
-   one_c = 1.0F - c;
-
-   M(0,0) = (one_c * xx) + c;
-   M(0,1) = (one_c * xy) - zs;
-   M(0,2) = (one_c * zx) + ys;
-   M(0,3) = 0.0F;
-
-   M(1,0) = (one_c * xy) + zs;
-   M(1,1) = (one_c * yy) + c;
-   M(1,2) = (one_c * yz) - xs;
-   M(1,3) = 0.0F;
-
-   M(2,0) = (one_c * zx) - ys;
-   M(2,1) = (one_c * yz) + xs;
-   M(2,2) = (one_c * zz) + c;
-   M(2,3) = 0.0F;
-
-   M(3,0) = 0.0F;
-   M(3,1) = 0.0F;
-   M(3,2) = 0.0F;
-   M(3,3) = 1.0F;
-
-#undef M
-}
-
-#define ZERO(x) (1<<x)
-#define ONE(x)  (1<<(x+16))
-
-#define MASK_NO_TRX      (ZERO(12) | ZERO(13) | ZERO(14))
-#define MASK_NO_2D_SCALE ( ONE(0)  | ONE(5))
-
-#define MASK_IDENTITY    ( ONE(0)  | ZERO(4)  | ZERO(8)  | ZERO(12) |\
-			  ZERO(1)  |  ONE(5)  | ZERO(9)  | ZERO(13) |\
-			  ZERO(2)  | ZERO(6)  |  ONE(10) | ZERO(14) |\
-			  ZERO(3)  | ZERO(7)  | ZERO(11) |  ONE(15) )
-
-#define MASK_2D_NO_ROT   (           ZERO(4)  | ZERO(8)  |           \
-			  ZERO(1)  |            ZERO(9)  |           \
-			  ZERO(2)  | ZERO(6)  |  ONE(10) | ZERO(14) |\
-			  ZERO(3)  | ZERO(7)  | ZERO(11) |  ONE(15) )
-
-#define MASK_2D          (                      ZERO(8)  |           \
-			                        ZERO(9)  |           \
-			  ZERO(2)  | ZERO(6)  |  ONE(10) | ZERO(14) |\
-			  ZERO(3)  | ZERO(7)  | ZERO(11) |  ONE(15) )
-
-
-#define MASK_3D_NO_ROT   (           ZERO(4)  | ZERO(8)  |           \
-			  ZERO(1)  |            ZERO(9)  |           \
-			  ZERO(2)  | ZERO(6)  |                      \
-			  ZERO(3)  | ZERO(7)  | ZERO(11) |  ONE(15) )
-
-#define MASK_3D          (                                           \
-			                                             \
-			                                             \
-			  ZERO(3)  | ZERO(7)  | ZERO(11) |  ONE(15) )
-
-
-#define MASK_PERSPECTIVE (           ZERO(4)  |            ZERO(12) |\
-			  ZERO(1)  |                       ZERO(13) |\
-			  ZERO(2)  | ZERO(6)  |                      \
-			  ZERO(3)  | ZERO(7)  |            ZERO(15) )
-
-#define SQ(x) ((x)*(x))
-  
-/* Determine type and flags from scratch.  This is expensive enough to
- * only want to do it once.
- */
-static void analyze_from_scratch( GLmatrix *mat )
-{
-   const GLfloat *m = mat->m;
-   GLuint mask = 0;
-   GLuint i;
-
-   for (i = 0 ; i < 16 ; i++) {
-      if (m[i] == 0.0) mask |= (1<<i);
-   }
-   
-   if (m[0] == 1.0F) mask |= (1<<16);
-   if (m[5] == 1.0F) mask |= (1<<21);
-   if (m[10] == 1.0F) mask |= (1<<26);
-   if (m[15] == 1.0F) mask |= (1<<31);
-
-   mat->flags &= ~MAT_FLAGS_GEOMETRY;
-
-   /* Check for translation - no-one really cares 
-    */
-   if ((mask & MASK_NO_TRX) != MASK_NO_TRX) 
-      mat->flags |= MAT_FLAG_TRANSLATION;      
-
-   /* Do the real work
-    */
-   if (mask == MASK_IDENTITY) {
-      mat->type = MATRIX_IDENTITY;
-   }
-   else if ((mask & MASK_2D_NO_ROT) == MASK_2D_NO_ROT) {
-      mat->type = MATRIX_2D_NO_ROT;
-      
-      if ((mask & MASK_NO_2D_SCALE) != MASK_NO_2D_SCALE)
-	 mat->flags = MAT_FLAG_GENERAL_SCALE;
-   }
-   else if ((mask & MASK_2D) == MASK_2D) {
-      GLfloat mm = DOT2(m, m);
-      GLfloat m4m4 = DOT2(m+4,m+4);
-      GLfloat mm4 = DOT2(m,m+4);
-
-      mat->type = MATRIX_2D;
-
-      /* Check for scale */
-      if (SQ(mm-1) > SQ(1e-6) ||
-	  SQ(m4m4-1) > SQ(1e-6)) 
-	 mat->flags |= MAT_FLAG_GENERAL_SCALE;
-
-      /* Check for rotation */
-      if (SQ(mm4) > SQ(1e-6))
-	 mat->flags |= MAT_FLAG_GENERAL_3D;
-      else
-	 mat->flags |= MAT_FLAG_ROTATION;
-
-   }
-   else if ((mask & MASK_3D_NO_ROT) == MASK_3D_NO_ROT) {
-      mat->type = MATRIX_3D_NO_ROT;
-
-      /* Check for scale */
-      if (SQ(m[0]-m[5]) < SQ(1e-6) && 
-	  SQ(m[0]-m[10]) < SQ(1e-6)) {
-	 if (SQ(m[0]-1.0) > SQ(1e-6)) {
-	    mat->flags |= MAT_FLAG_UNIFORM_SCALE;
-         }
-      }
-      else {
-	 mat->flags |= MAT_FLAG_GENERAL_SCALE;
-      }
-   }
-   else if ((mask & MASK_3D) == MASK_3D) {
-      GLfloat c1 = DOT3(m,m);
-      GLfloat c2 = DOT3(m+4,m+4);
-      GLfloat c3 = DOT3(m+8,m+8);
-      GLfloat d1 = DOT3(m, m+4);
-      GLfloat cp[3];
-
-      mat->type = MATRIX_3D;
-
-      /* Check for scale */
-      if (SQ(c1-c2) < SQ(1e-6) && SQ(c1-c3) < SQ(1e-6)) {
-	 if (SQ(c1-1.0) > SQ(1e-6))
-	    mat->flags |= MAT_FLAG_UNIFORM_SCALE;
-	 /* else no scale at all */
-      }
-      else {
-	 mat->flags |= MAT_FLAG_GENERAL_SCALE;
-      }
-
-      /* Check for rotation */
-      if (SQ(d1) < SQ(1e-6)) {
-	 CROSS3( cp, m, m+4 );
-	 SUB_3V( cp, cp, (m+8) );
-	 if (LEN_SQUARED_3FV(cp) < SQ(1e-6)) 
-	    mat->flags |= MAT_FLAG_ROTATION;
-	 else
-	    mat->flags |= MAT_FLAG_GENERAL_3D;
-      }
-      else {
-	 mat->flags |= MAT_FLAG_GENERAL_3D; /* shear, etc */
-      }
-   }
-   else if ((mask & MASK_PERSPECTIVE) == MASK_PERSPECTIVE && m[11]==-1.0F) {
-      mat->type = MATRIX_PERSPECTIVE;
-      mat->flags |= MAT_FLAG_GENERAL;
-   }
-   else {
-      mat->type = MATRIX_GENERAL;
-      mat->flags |= MAT_FLAG_GENERAL;
-   }
-}
-
-
-/* Analyse a matrix given that its flags are accurate - this is the
- * more common operation, hopefully. 
- */
-static void analyze_from_flags( GLmatrix *mat )
-{
-   const GLfloat *m = mat->m;
-
-   if (TEST_MAT_FLAGS(mat, 0)) {
-      mat->type = MATRIX_IDENTITY;
-   }
-   else if (TEST_MAT_FLAGS(mat, (MAT_FLAG_TRANSLATION |
-				 MAT_FLAG_UNIFORM_SCALE |
-				 MAT_FLAG_GENERAL_SCALE))) {
-      if ( m[10]==1.0F && m[14]==0.0F ) {
-	 mat->type = MATRIX_2D_NO_ROT;
-      }
-      else {
-	 mat->type = MATRIX_3D_NO_ROT;
-      }
-   }
-   else if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D)) {
-      if (                                 m[ 8]==0.0F               
-            &&                             m[ 9]==0.0F
-            && m[2]==0.0F && m[6]==0.0F && m[10]==1.0F && m[14]==0.0F) {
-	 mat->type = MATRIX_2D;
-      }
-      else {
-	 mat->type = MATRIX_3D;
-      }
-   }
-   else if (                 m[4]==0.0F                 && m[12]==0.0F
-            && m[1]==0.0F                               && m[13]==0.0F
-            && m[2]==0.0F && m[6]==0.0F
-            && m[3]==0.0F && m[7]==0.0F && m[11]==-1.0F && m[15]==0.0F) {
-      mat->type = MATRIX_PERSPECTIVE;
-   }
-   else {
-      mat->type = MATRIX_GENERAL;
-   }
-}
-
-
-void gl_matrix_analyze( GLmatrix *mat ) 
-{
-   if (mat->flags & MAT_DIRTY_TYPE) {
-      if (mat->flags & MAT_DIRTY_FLAGS) 
-	 analyze_from_scratch( mat );
-      else
-	 analyze_from_flags( mat );
-   }
-
-   if (mat->inv && (mat->flags & MAT_DIRTY_INVERSE)) {
-      matrix_invert( mat );
-   }
-
-   mat->flags &= ~(MAT_DIRTY_FLAGS|
-		   MAT_DIRTY_TYPE|
-		   MAT_DIRTY_INVERSE);
-}
-
-
-static void matrix_copy( GLmatrix *to, const GLmatrix *from )
-{
-   MEMCPY( to->m, from->m, sizeof(Identity) );
-   to->flags = from->flags | MAT_DIRTY_DEPENDENTS;
-   to->type = from->type;
-
-   if (to->inv != 0) {
-      if (from->inv == 0) {
-	 matrix_invert( to );
-      }
-      else {
-	 MEMCPY(to->inv, from->inv, sizeof(GLfloat)*16);
-      }
-   }
-}
-
-/*
- * Multiply a matrix by an array of floats with known properties.
- */
-static void mat_mul_floats( GLmatrix *mat, const GLfloat *m, GLuint flags )
-{
-   mat->flags |= (flags |
-		  MAT_DIRTY_TYPE | 
-		  MAT_DIRTY_INVERSE | 
-		  MAT_DIRTY_DEPENDENTS);
-
-   if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D))
-      matmul34( mat->m, mat->m, m );
-   else 
-      matmul4( mat->m, mat->m, m );      
-
-}
-
-
-void gl_matrix_ctr( GLmatrix *m )
-{
-   if ( m->m == 0 ) {
-      m->m = (GLfloat *) ALIGN_MALLOC( 16 * sizeof(GLfloat), 16 );
-   }
-   MEMCPY( m->m, Identity, sizeof(Identity) );
-   m->inv = 0;
-   m->type = MATRIX_IDENTITY;
-   m->flags = MAT_DIRTY_DEPENDENTS;
-}
-
-void gl_matrix_dtr( GLmatrix *m )
-{
-   if ( m->m != 0 ) {
-      ALIGN_FREE( m->m );
-      m->m = 0;
-   }
-   if ( m->inv != 0 ) {
-      ALIGN_FREE( m->inv );
-      m->inv = 0;
-   }
-}
-
-
-void gl_matrix_alloc_inv( GLmatrix *m )
-{
-   if ( m->inv == 0 ) {
-      m->inv = (GLfloat *) ALIGN_MALLOC( 16 * sizeof(GLfloat), 16 );
-      MEMCPY( m->inv, Identity, 16 * sizeof(GLfloat) );
-   }
-}
-
-
-void gl_matrix_mul( GLmatrix *dest, const GLmatrix *a, const GLmatrix *b )
-{
-   dest->flags = (a->flags |
-		  b->flags |
-		  MAT_DIRTY_TYPE | 
-		  MAT_DIRTY_INVERSE | 
-		  MAT_DIRTY_DEPENDENTS);
-
-   if (TEST_MAT_FLAGS(dest, MAT_FLAGS_3D))
-      matmul34( dest->m, a->m, b->m );
-   else 
-      matmul4( dest->m, a->m, b->m );
-}
 
+#include "math/m_matrix.h"
+#endif
 
 
 /**********************************************************************/
@@ -1017,45 +90,21 @@ _mesa_Frustum( GLdouble left, GLdouble right,
                GLdouble nearval, GLdouble farval )
 {
    GET_CURRENT_CONTEXT(ctx);
-   GLfloat x, y, a, b, c, d;
-   GLfloat m[16];
    GLmatrix *mat = 0;
 
    GET_ACTIVE_MATRIX( ctx,  mat, ctx->NewState, "glFrustrum" );
 
-   if ((nearval<=0.0 || farval<=0.0) || (nearval == farval) || (left == right) || (top == bottom)) {
-      gl_error( ctx,  GL_INVALID_VALUE, "glFrustum(near or far)" );
+   if (nearval <= 0.0 ||
+       farval <= 0.0 || 
+       nearval == farval || 
+       left == right || 
+       top == bottom) 
+   {
+      gl_error( ctx,  GL_INVALID_VALUE, "glFrustum" );
       return;
    }
-
-   x = (2.0*nearval) / (right-left);
-   y = (2.0*nearval) / (top-bottom);
-   a = (right+left) / (right-left);
-   b = (top+bottom) / (top-bottom);
-   c = -(farval+nearval) / ( farval-nearval);
-   d = -(2.0*farval*nearval) / (farval-nearval);  /* error? */
-
-#define M(row,col)  m[col*4+row]
-   M(0,0) = x;     M(0,1) = 0.0F;  M(0,2) = a;      M(0,3) = 0.0F;
-   M(1,0) = 0.0F;  M(1,1) = y;     M(1,2) = b;      M(1,3) = 0.0F;
-   M(2,0) = 0.0F;  M(2,1) = 0.0F;  M(2,2) = c;      M(2,3) = d;
-   M(3,0) = 0.0F;  M(3,1) = 0.0F;  M(3,2) = -1.0F;  M(3,3) = 0.0F;
-#undef M
-
-   mat_mul_floats( mat, m, MAT_FLAG_PERSPECTIVE );
-
-   if (ctx->Transform.MatrixMode == GL_PROJECTION) {
-      /* Need to keep a stack of near/far values in case the user push/pops
-       * the projection matrix stack so that we can call Driver.NearFar()
-       * after a pop.
-       */
-      ctx->NearFarStack[ctx->ProjectionStackDepth][0] = nearval;
-      ctx->NearFarStack[ctx->ProjectionStackDepth][1] = farval;
-      
-      if (ctx->Driver.NearFar) {
-	 (*ctx->Driver.NearFar)( ctx, nearval, farval );
-      }
-   }
+   
+   _math_matrix_frustrum( mat, left, right, bottom, top, nearval, farval );
 }
 
 
@@ -1065,38 +114,19 @@ _mesa_Ortho( GLdouble left, GLdouble right,
              GLdouble nearval, GLdouble farval )
 {
    GET_CURRENT_CONTEXT(ctx);
-   GLfloat x, y, z;
-   GLfloat tx, ty, tz;
-   GLfloat m[16];
    GLmatrix *mat = 0;
 
    GET_ACTIVE_MATRIX( ctx,  mat, ctx->NewState, "glOrtho" );
    
-   if ((left == right) || (bottom == top) || (nearval == farval)) {
-      gl_error( ctx,  GL_INVALID_VALUE,
-                "gl_Ortho((l = r) or (b = top) or (n=f)" );
+   if (left == right || 
+       bottom == top || 
+       nearval == farval) 
+   {
+      gl_error( ctx,  GL_INVALID_VALUE, "gl_Ortho" );
       return;
    }
 
-   x = 2.0 / (right-left);
-   y = 2.0 / (top-bottom);
-   z = -2.0 / (farval-nearval);
-   tx = -(right+left) / (right-left);
-   ty = -(top+bottom) / (top-bottom);
-   tz = -(farval+nearval) / (farval-nearval);
-
-#define M(row,col)  m[col*4+row]
-   M(0,0) = x;     M(0,1) = 0.0F;  M(0,2) = 0.0F;  M(0,3) = tx;
-   M(1,0) = 0.0F;  M(1,1) = y;     M(1,2) = 0.0F;  M(1,3) = ty;
-   M(2,0) = 0.0F;  M(2,1) = 0.0F;  M(2,2) = z;     M(2,3) = tz;
-   M(3,0) = 0.0F;  M(3,1) = 0.0F;  M(3,2) = 0.0F;  M(3,3) = 1.0F;
-#undef M
-
-   mat_mul_floats( mat, m, (MAT_FLAG_GENERAL_SCALE|MAT_FLAG_TRANSLATION));
-
-   if (ctx->Driver.NearFar) {
-      (*ctx->Driver.NearFar)( ctx, nearval, farval );
-   }
+   _math_matrix_ortho( mat, left, right, bottom, top, nearval, farval );
 }
 
 
@@ -1135,7 +165,7 @@ _mesa_PushMatrix( void )
             gl_error( ctx,  GL_STACK_OVERFLOW, "glPushMatrix");
             return;
          }
-         matrix_copy( &ctx->ModelViewStack[ctx->ModelViewStackDepth++],
+         _math_matrix_copy( &ctx->ModelViewStack[ctx->ModelViewStackDepth++],
                       &ctx->ModelView );
          break;
       case GL_PROJECTION:
@@ -1143,14 +173,8 @@ _mesa_PushMatrix( void )
             gl_error( ctx,  GL_STACK_OVERFLOW, "glPushMatrix");
             return;
          }
-         matrix_copy( &ctx->ProjectionStack[ctx->ProjectionStackDepth++],
+         _math_matrix_copy( &ctx->ProjectionStack[ctx->ProjectionStackDepth++],
                       &ctx->ProjectionMatrix );
-
-         /* Save near and far projection values */
-         ctx->NearFarStack[ctx->ProjectionStackDepth][0]
-            = ctx->NearFarStack[ctx->ProjectionStackDepth-1][0];
-         ctx->NearFarStack[ctx->ProjectionStackDepth][1]
-            = ctx->NearFarStack[ctx->ProjectionStackDepth-1][1];
          break;
       case GL_TEXTURE:
          {
@@ -1159,7 +183,7 @@ _mesa_PushMatrix( void )
                gl_error( ctx,  GL_STACK_OVERFLOW, "glPushMatrix");
                return;
             }
-	    matrix_copy( &ctx->TextureStack[t][ctx->TextureStackDepth[t]++],
+	    _math_matrix_copy( &ctx->TextureStack[t][ctx->TextureStackDepth[t]++],
                          &ctx->TextureMatrix[t] );
          }
          break;
@@ -1168,7 +192,7 @@ _mesa_PushMatrix( void )
             gl_error( ctx,  GL_STACK_OVERFLOW, "glPushMatrix");
             return;
          }
-         matrix_copy( &ctx->ColorStack[ctx->ColorStackDepth++],
+         _math_matrix_copy( &ctx->ColorStack[ctx->ColorStackDepth++],
                       &ctx->ColorMatrix );
          break;
       default:
@@ -1194,8 +218,8 @@ _mesa_PopMatrix( void )
             gl_error( ctx,  GL_STACK_UNDERFLOW, "glPopMatrix");
             return;
          }
-         matrix_copy( &ctx->ModelView,
-                      &ctx->ModelViewStack[--ctx->ModelViewStackDepth] );
+         _math_matrix_copy( &ctx->ModelView,
+			    &ctx->ModelViewStack[--ctx->ModelViewStackDepth] );
 	 ctx->NewState |= _NEW_MODELVIEW;
          break;
       case GL_PROJECTION:
@@ -1204,18 +228,9 @@ _mesa_PopMatrix( void )
             return;
          }
 
-         matrix_copy( &ctx->ProjectionMatrix,
-                      &ctx->ProjectionStack[--ctx->ProjectionStackDepth] );
+         _math_matrix_copy( &ctx->ProjectionMatrix,
+			    &ctx->ProjectionStack[--ctx->ProjectionStackDepth] );
 	 ctx->NewState |= _NEW_PROJECTION;
-
-         /* Device driver near/far values */
-         {
-            GLfloat nearVal = ctx->NearFarStack[ctx->ProjectionStackDepth][0];
-            GLfloat farVal  = ctx->NearFarStack[ctx->ProjectionStackDepth][1];
-            if (ctx->Driver.NearFar) {
-               (*ctx->Driver.NearFar)( ctx, nearVal, farVal );
-            }
-         }
          break;
       case GL_TEXTURE:
          {
@@ -1224,8 +239,8 @@ _mesa_PopMatrix( void )
                gl_error( ctx,  GL_STACK_UNDERFLOW, "glPopMatrix");
                return;
             }
-	    matrix_copy(&ctx->TextureMatrix[t],
-                        &ctx->TextureStack[t][--ctx->TextureStackDepth[t]]);
+	    _math_matrix_copy(&ctx->TextureMatrix[t],
+			      &ctx->TextureStack[t][--ctx->TextureStackDepth[t]]);
 	    ctx->NewState |= _NEW_TEXTURE_MATRIX;
          }
          break;
@@ -1234,8 +249,8 @@ _mesa_PopMatrix( void )
             gl_error( ctx,  GL_STACK_UNDERFLOW, "glPopMatrix");
             return;
          }
-         matrix_copy(&ctx->ColorMatrix,
-                     &ctx->ColorStack[--ctx->ColorStackDepth]);
+         _math_matrix_copy(&ctx->ColorMatrix,
+			   &ctx->ColorStack[--ctx->ColorStackDepth]);
 	 ctx->NewState |= _NEW_COLOR_MATRIX;
          break;
       default:
@@ -1251,19 +266,7 @@ _mesa_LoadIdentity( void )
    GET_CURRENT_CONTEXT(ctx);
    GLmatrix *mat = 0;
    GET_ACTIVE_MATRIX(ctx, mat, ctx->NewState, "glLoadIdentity");
-
-   MEMCPY( mat->m, Identity, 16*sizeof(GLfloat) );
-
-   if (mat->inv)
-      MEMCPY( mat->inv, Identity, 16*sizeof(GLfloat) );
-
-   mat->type = MATRIX_IDENTITY;
-   
-   /* Have to set this to dirty to make sure we recalculate the
-    * combined matrix later.  The update_matrix in this case is a
-    * shortcircuit anyway...
-    */
-   mat->flags = MAT_DIRTY_DEPENDENTS;	
+   _math_matrix_set_identity( mat );
 }
 
 
@@ -1273,38 +276,15 @@ _mesa_LoadMatrixf( const GLfloat *m )
    GET_CURRENT_CONTEXT(ctx);
    GLmatrix *mat = 0;
    GET_ACTIVE_MATRIX(ctx, mat, ctx->NewState, "glLoadMatrix");
-
-   MEMCPY( mat->m, m, 16*sizeof(GLfloat) );
-   mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY_ALL_OVER);
-
-   if (ctx->Transform.MatrixMode == GL_PROJECTION) {
-
-#define M(row,col)  m[col*4+row]
-      GLfloat c = M(2,2);
-      GLfloat d = M(2,3);
-#undef M
-      GLfloat n = (c ==  1.0 ? 0.0 : d / (c - 1.0));
-      GLfloat f = (c == -1.0 ? 1.0 : d / (c + 1.0));
-
-      /* Need to keep a stack of near/far values in case the user
-       * push/pops the projection matrix stack so that we can call
-       * Driver.NearFar() after a pop.
-       */
-      ctx->NearFarStack[ctx->ProjectionStackDepth][0] = n;
-      ctx->NearFarStack[ctx->ProjectionStackDepth][1] = f;
-
-      if (ctx->Driver.NearFar) {
-	 (*ctx->Driver.NearFar)( ctx, n, f );
-      }
-   }
+   _math_matrix_loadf( mat, m );
 }
 
 
 void
 _mesa_LoadMatrixd( const GLdouble *m )
 {
-   GLfloat f[16];
    GLint i;
+   GLfloat f[16];
    for (i = 0; i < 16; i++)
       f[i] = m[i];
    _mesa_LoadMatrixf(f);
@@ -1321,8 +301,7 @@ _mesa_MultMatrixf( const GLfloat *m )
    GET_CURRENT_CONTEXT(ctx);
    GLmatrix *mat = 0;
    GET_ACTIVE_MATRIX( ctx,  mat, ctx->NewState, "glMultMatrix" );
-   matmul4( mat->m, mat->m, m );
-   mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY_ALL_OVER);
+   _math_matrix_mul_floats( mat, m );
 }
 
 
@@ -1332,11 +311,11 @@ _mesa_MultMatrixf( const GLfloat *m )
 void
 _mesa_MultMatrixd( const GLdouble *m )
 {
-   GET_CURRENT_CONTEXT(ctx);
-   GLmatrix *mat = 0;
-   GET_ACTIVE_MATRIX( ctx,  mat, ctx->NewState, "glMultMatrix" );
-   matmul4fd( mat->m, mat->m, m );
-   mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY_ALL_OVER);
+   GLint i;
+   GLfloat f[16];
+   for (i = 0; i < 16; i++)
+      f[i] = m[i];
+   _mesa_MultMatrixf( f );
 }
 
 
@@ -1349,13 +328,10 @@ void
 _mesa_Rotatef( GLfloat angle, GLfloat x, GLfloat y, GLfloat z )
 {
    GET_CURRENT_CONTEXT(ctx);
-   GLfloat m[16];
    if (angle != 0.0F) {
       GLmatrix *mat = 0;
       GET_ACTIVE_MATRIX( ctx,  mat, ctx->NewState, "glRotate" );
-
-      gl_rotation_matrix( angle, x, y, z, m );
-      mat_mul_floats( mat, m, MAT_FLAG_ROTATION );
+      _math_matrix_rotate( mat, angle, x, y, z );
    }
 }
 
@@ -1374,23 +350,8 @@ _mesa_Scalef( GLfloat x, GLfloat y, GLfloat z )
 {
    GET_CURRENT_CONTEXT(ctx);
    GLmatrix *mat = 0;
-   GLfloat *m;
    GET_ACTIVE_MATRIX(ctx, mat, ctx->NewState, "glScale");
-
-   m = mat->m;
-   m[0] *= x;   m[4] *= y;   m[8]  *= z;
-   m[1] *= x;   m[5] *= y;   m[9]  *= z;
-   m[2] *= x;   m[6] *= y;   m[10] *= z;
-   m[3] *= x;   m[7] *= y;   m[11] *= z;
-
-   if (fabs(x - y) < 1e-8 && fabs(x - z) < 1e-8)
-      mat->flags |= MAT_FLAG_UNIFORM_SCALE;
-   else
-      mat->flags |= MAT_FLAG_GENERAL_SCALE;
-
-   mat->flags |= (MAT_DIRTY_TYPE | 
-		  MAT_DIRTY_INVERSE | 
-		  MAT_DIRTY_DEPENDENTS);
+   _math_matrix_scale( mat, x, y, z );
 }
 
 
@@ -1409,18 +370,8 @@ _mesa_Translatef( GLfloat x, GLfloat y, GLfloat z )
 {
    GET_CURRENT_CONTEXT(ctx);
    GLmatrix *mat = 0;
-   GLfloat *m;
    GET_ACTIVE_MATRIX(ctx, mat, ctx->NewState, "glTranslate");
-   m = mat->m;
-   m[12] = m[0] * x + m[4] * y + m[8]  * z + m[12];
-   m[13] = m[1] * x + m[5] * y + m[9]  * z + m[13];
-   m[14] = m[2] * x + m[6] * y + m[10] * z + m[14];
-   m[15] = m[3] * x + m[7] * y + m[11] * z + m[15];
-
-   mat->flags |= (MAT_FLAG_TRANSLATION | 
-		  MAT_DIRTY_TYPE | 
-		  MAT_DIRTY_INVERSE | 
-		  MAT_DIRTY_DEPENDENTS);
+   _math_matrix_translate( mat, x, y, z );
 }
 
 
@@ -1431,12 +382,11 @@ _mesa_Translated( GLdouble x, GLdouble y, GLdouble z )
 }
 
 
-
 void
 _mesa_LoadTransposeMatrixfARB( const GLfloat *m )
 {
    GLfloat tm[16];
-   gl_matrix_transposef(tm, m);
+   _math_transposef(tm, m);
    _mesa_LoadMatrixf(tm);
 }
 
@@ -1444,9 +394,9 @@ _mesa_LoadTransposeMatrixfARB( const GLfloat *m )
 void
 _mesa_LoadTransposeMatrixdARB( const GLdouble *m )
 {
-   GLdouble tm[16];
-   gl_matrix_transposed(tm, m);
-   _mesa_LoadMatrixd(tm);
+   GLfloat tm[16];
+   _math_transposefd(tm, m);
+   _mesa_LoadMatrixf(tm);
 }
 
 
@@ -1454,7 +404,7 @@ void
 _mesa_MultTransposeMatrixfARB( const GLfloat *m )
 {
    GLfloat tm[16];
-   gl_matrix_transposef(tm, m);
+   _math_transposef(tm, m);
    _mesa_MultMatrixf(tm);
 }
 
@@ -1462,9 +412,9 @@ _mesa_MultTransposeMatrixfARB( const GLfloat *m )
 void
 _mesa_MultTransposeMatrixdARB( const GLdouble *m )
 {
-   GLdouble tm[16];
-   gl_matrix_transposed(tm, m);
-   _mesa_MultMatrixd(tm);
+   GLfloat tm[16];
+   _math_transposefd(tm, m);
+   _mesa_MultMatrixf(tm);
 }
 
 
@@ -1518,7 +468,6 @@ gl_Viewport( GLcontext *ctx, GLint x, GLint y, GLsizei width, GLsizei height )
    ctx->Viewport._WindowMap.m[MAT_TY] = ctx->Viewport._WindowMap.m[MAT_SY] + y;
    ctx->Viewport._WindowMap.m[MAT_SZ] = 0.5 * ctx->Visual.DepthMaxF;
    ctx->Viewport._WindowMap.m[MAT_TZ] = 0.5 * ctx->Visual.DepthMaxF;
-
    ctx->Viewport._WindowMap.flags = MAT_FLAG_GENERAL_SCALE|MAT_FLAG_TRANSLATION;
    ctx->Viewport._WindowMap.type = MATRIX_3D_NO_ROT;
    ctx->NewState |= _NEW_VIEWPORT;