mesa/math/m_xform_tmp.h

/*
 * Mesa 3-D graphics library
 * Version:  3.5
 *
 * Copyright (C) 1999-2001  Brian Paul   All Rights Reserved.
 *
 * Permission is hereby granted, free of charge, to any person obtaining a
 * copy of this software and associated documentation files (the "Software"),
 * to deal in the Software without restriction, including without limitation
 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
 * and/or sell copies of the Software, and to permit persons to whom the
 * Software is furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included
 * in all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
 * BRIAN PAUL BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
 * AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
 * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 */

/*
 * New (3.1) transformation code written by Keith Whitwell.
 */


/*----------------------------------------------------------------------
 * Begin Keith's new code
 *
 *----------------------------------------------------------------------
 */

/* KW: Fixed stride, now measured in bytes as is the OpenGL array stride.
 */

/* KW: These are now parameterized to produce two versions, one
 *     which transforms all incoming points, and a second which
 *     takes notice of a cullmask array, and only transforms
 *     unculled vertices.
 */

/* KW: 1-vectors can sneak into the texture pipeline via the array
 *     interface.  These functions are here because I want consistant
 *     treatment of the vertex sizes and a lazy strategy for
 *     cleaning unused parts of the vector, and so as not to exclude
 *     them from the vertex array interface.
 *
 *     Under our current analysis of matrices, there is no way that
 *     the product of a matrix and a 1-vector can remain a 1-vector,
 *     with the exception of the identity transform.
 */

/* KW: No longer zero-pad outgoing vectors.  Now that external
 *     vectors can get into the pipeline we cannot ever assume
 *     that there is more to a vector than indicated by its
 *     size.
 */

/* KW: Now uses clipmask and a flag to allow us to skip both/either
 *     cliped and/or culled vertices.
 */

/* GH: Not any more -- it's easier (and faster) to just process the
 *     entire vector.  Clipping and culling are handled further down
 *     the pipe, most often during or after the conversion to some
 *     driver-specific vertex format.
 */

static void _XFORMAPI
TAG(transform_points1_general)( GLvector4f *to_vec,
				const GLfloat m[16],
				const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0],  m12 = m[12];
   const GLfloat m1 = m[1],  m13 = m[13];
   const GLfloat m2 = m[2],  m14 = m[14];
   const GLfloat m3 = m[3],  m15 = m[15];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0];
      to[i][0] = m0 * ox + m12;
      to[i][1] = m1 * ox + m13;
      to[i][2] = m2 * ox + m14;
      to[i][3] = m3 * ox + m15;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points1_identity)( GLvector4f *to_vec,
				 const GLfloat m[16],
				 const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLuint count = from_vec->count;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint i;
   (void) m;
   if (to_vec == from_vec) return;
   STRIDE_LOOP {
      to[i][0] = from[0];
   }
   to_vec->size = 1;
   to_vec->flags |= VEC_SIZE_1;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points1_2d)( GLvector4f *to_vec,
			   const GLfloat m[16],
			   const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m1 = m[1];
   const GLfloat m12 = m[12], m13 = m[13];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0];
      to[i][0] = m0 * ox + m12;
      to[i][1] = m1 * ox + m13;
   }
   to_vec->size = 2;
   to_vec->flags |= VEC_SIZE_2;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points1_2d_no_rot)( GLvector4f *to_vec,
				  const GLfloat m[16],
				  const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m12 = m[12], m13 = m[13];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0];
      to[i][0] = m0 * ox + m12;
      to[i][1] =           m13;
   }
   to_vec->size = 2;
   to_vec->flags |= VEC_SIZE_2;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points1_3d)( GLvector4f *to_vec,
			   const GLfloat m[16],
			   const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m1 = m[1], m2 = m[2];
   const GLfloat m12 = m[12], m13 = m[13], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0];
      to[i][0] = m0 * ox + m12;
      to[i][1] = m1 * ox + m13;
      to[i][2] = m2 * ox + m14;
   }
   to_vec->size = 3;
   to_vec->flags |= VEC_SIZE_3;
   to_vec->count = from_vec->count;
}


static void _XFORMAPI
TAG(transform_points1_3d_no_rot)( GLvector4f *to_vec,
				  const GLfloat m[16],
				  const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0];
   const GLfloat m12 = m[12], m13 = m[13], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0];
      to[i][0] = m0 * ox           + m12;
      to[i][1] =                     m13;
      to[i][2] =                     m14;
   }
   to_vec->size = 3;
   to_vec->flags |= VEC_SIZE_3;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points1_perspective)( GLvector4f *to_vec,
				    const GLfloat m[16],
				    const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0];
      to[i][0] = m0 * ox                ;
      to[i][1] =           0            ;
      to[i][2] =                     m14;
      to[i][3] = 0;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}


/* 2-vectors, which are a lot more relevant than 1-vectors, are
 * present early in the geometry pipeline and throughout the
 * texture pipeline.
 */
static void _XFORMAPI
TAG(transform_points2_general)( GLvector4f *to_vec,
				const GLfloat m[16],
				const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0],  m4 = m[4],  m12 = m[12];
   const GLfloat m1 = m[1],  m5 = m[5],  m13 = m[13];
   const GLfloat m2 = m[2],  m6 = m[6],  m14 = m[14];
   const GLfloat m3 = m[3],  m7 = m[7],  m15 = m[15];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1];
      to[i][0] = m0 * ox + m4 * oy + m12;
      to[i][1] = m1 * ox + m5 * oy + m13;
      to[i][2] = m2 * ox + m6 * oy + m14;
      to[i][3] = m3 * ox + m7 * oy + m15;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points2_identity)( GLvector4f *to_vec,
				 const GLfloat m[16],
				 const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   GLuint i;
   (void) m;
   if (to_vec == from_vec) return;
   STRIDE_LOOP {
      to[i][0] = from[0];
      to[i][1] = from[1];
   }
   to_vec->size = 2;
   to_vec->flags |= VEC_SIZE_2;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points2_2d)( GLvector4f *to_vec,
			   const GLfloat m[16],
			   const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m1 = m[1], m4 = m[4], m5 = m[5];
   const GLfloat m12 = m[12], m13 = m[13];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1];
      to[i][0] = m0 * ox + m4 * oy + m12;
      to[i][1] = m1 * ox + m5 * oy + m13;
   }
   to_vec->size = 2;
   to_vec->flags |= VEC_SIZE_2;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points2_2d_no_rot)( GLvector4f *to_vec,
				  const GLfloat m[16],
				  const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5], m12 = m[12], m13 = m[13];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1];
      to[i][0] = m0 * ox           + m12;
      to[i][1] =           m5 * oy + m13;
   }
   to_vec->size = 2;
   to_vec->flags |= VEC_SIZE_2;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points2_3d)( GLvector4f *to_vec,
			   const GLfloat m[16],
			   const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m1 = m[1], m2 = m[2], m4 = m[4], m5 = m[5];
   const GLfloat m6 = m[6], m12 = m[12], m13 = m[13], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1];
      to[i][0] = m0 * ox + m4 * oy + m12;
      to[i][1] = m1 * ox + m5 * oy + m13;
      to[i][2] = m2 * ox + m6 * oy + m14;
   }
   to_vec->size = 3;
   to_vec->flags |= VEC_SIZE_3;
   to_vec->count = from_vec->count;
}


/* I would actually say this was a fairly important function, from
 * a texture transformation point of view.
 */
static void _XFORMAPI
TAG(transform_points2_3d_no_rot)( GLvector4f *to_vec,
				  const GLfloat m[16],
				  const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5];
   const GLfloat m12 = m[12], m13 = m[13], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1];
      to[i][0] = m0 * ox           + m12;
      to[i][1] =           m5 * oy + m13;
      to[i][2] =                     m14;
   }
   if (m14 == 0) {
      to_vec->size = 2;
      to_vec->flags |= VEC_SIZE_2;
   } else {
      to_vec->size = 3;
      to_vec->flags |= VEC_SIZE_3;
   }
   to_vec->count = from_vec->count;
}


static void _XFORMAPI
TAG(transform_points2_perspective)( GLvector4f *to_vec,
				    const GLfloat m[16],
				    const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1];
      to[i][0] = m0 * ox                ;
      to[i][1] =           m5 * oy      ;
      to[i][2] =                     m14;
      to[i][3] = 0;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}


static void _XFORMAPI
TAG(transform_points3_general)( GLvector4f *to_vec,
				const GLfloat m[16],
				const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0],  m4 = m[4],  m8 = m[8],  m12 = m[12];
   const GLfloat m1 = m[1],  m5 = m[5],  m9 = m[9],  m13 = m[13];
   const GLfloat m2 = m[2],  m6 = m[6],  m10 = m[10],  m14 = m[14];
   const GLfloat m3 = m[3],  m7 = m[7],  m11 = m[11],  m15 = m[15];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2];
      to[i][0] = m0 * ox + m4 * oy + m8  * oz + m12;
      to[i][1] = m1 * ox + m5 * oy + m9  * oz + m13;
      to[i][2] = m2 * ox + m6 * oy + m10 * oz + m14;
      to[i][3] = m3 * ox + m7 * oy + m11 * oz + m15;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points3_identity)( GLvector4f *to_vec,
				 const GLfloat m[16],
				 const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   GLuint i;
   (void) m;
   if (to_vec == from_vec) return;
   STRIDE_LOOP {
      to[i][0] = from[0];
      to[i][1] = from[1];
      to[i][2] = from[2];
   }
   to_vec->size = 3;
   to_vec->flags |= VEC_SIZE_3;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points3_2d)( GLvector4f *to_vec,
			   const GLfloat m[16],
			   const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m1 = m[1], m4 = m[4], m5 = m[5];
   const GLfloat m12 = m[12], m13 = m[13];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2];
      to[i][0] = m0 * ox + m4 * oy            + m12       ;
      to[i][1] = m1 * ox + m5 * oy            + m13       ;
      to[i][2] =                   +       oz             ;
   }
   to_vec->size = 3;
   to_vec->flags |= VEC_SIZE_3;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points3_2d_no_rot)( GLvector4f *to_vec,
				  const GLfloat m[16],
				  const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5], m12 = m[12], m13 = m[13];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2];
      to[i][0] = m0 * ox                      + m12       ;
      to[i][1] =           m5 * oy            + m13       ;
      to[i][2] =                   +       oz             ;
   }
   to_vec->size = 3;
   to_vec->flags |= VEC_SIZE_3;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points3_3d)( GLvector4f *to_vec,
			   const GLfloat m[16],
			   const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m1 = m[1], m2 = m[2], m4 = m[4], m5 = m[5];
   const GLfloat m6 = m[6], m8 = m[8], m9 = m[9], m10 = m[10];
   const GLfloat m12 = m[12], m13 = m[13], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2];
      to[i][0] = m0 * ox + m4 * oy +  m8 * oz + m12       ;
      to[i][1] = m1 * ox + m5 * oy +  m9 * oz + m13       ;
      to[i][2] = m2 * ox + m6 * oy + m10 * oz + m14       ;
   }
   to_vec->size = 3;
   to_vec->flags |= VEC_SIZE_3;
   to_vec->count = from_vec->count;
}

/* previously known as ortho...
 */
static void _XFORMAPI
TAG(transform_points3_3d_no_rot)( GLvector4f *to_vec,
				  const GLfloat m[16],
				  const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5];
   const GLfloat m10 = m[10], m12 = m[12], m13 = m[13], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2];
      to[i][0] = m0 * ox                      + m12       ;
      to[i][1] =           m5 * oy            + m13       ;
      to[i][2] =                     m10 * oz + m14       ;
   }
   to_vec->size = 3;
   to_vec->flags |= VEC_SIZE_3;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points3_perspective)( GLvector4f *to_vec,
				    const GLfloat m[16],
				    const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5], m8 = m[8], m9 = m[9];
   const GLfloat m10 = m[10], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2];
      to[i][0] = m0 * ox           + m8  * oz       ;
      to[i][1] =           m5 * oy + m9  * oz       ;
      to[i][2] =                     m10 * oz + m14 ;
      to[i][3] =                          -oz       ;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}


static void _XFORMAPI
TAG(transform_points4_general)( GLvector4f *to_vec,
				const GLfloat m[16],
				const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0],  m4 = m[4],  m8 = m[8],  m12 = m[12];
   const GLfloat m1 = m[1],  m5 = m[5],  m9 = m[9],  m13 = m[13];
   const GLfloat m2 = m[2],  m6 = m[6],  m10 = m[10],  m14 = m[14];
   const GLfloat m3 = m[3],  m7 = m[7],  m11 = m[11],  m15 = m[15];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2], ow = from[3];
      to[i][0] = m0 * ox + m4 * oy + m8  * oz + m12 * ow;
      to[i][1] = m1 * ox + m5 * oy + m9  * oz + m13 * ow;
      to[i][2] = m2 * ox + m6 * oy + m10 * oz + m14 * ow;
      to[i][3] = m3 * ox + m7 * oy + m11 * oz + m15 * ow;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points4_identity)( GLvector4f *to_vec,
				 const GLfloat m[16],
				 const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   GLuint i;
   (void) m;
   if (to_vec == from_vec) return;
   STRIDE_LOOP {
      to[i][0] = from[0];
      to[i][1] = from[1];
      to[i][2] = from[2];
      to[i][3] = from[3];
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points4_2d)( GLvector4f *to_vec,
			   const GLfloat m[16],
			   const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m1 = m[1], m4 = m[4], m5 = m[5];
   const GLfloat m12 = m[12], m13 = m[13];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2], ow = from[3];
      to[i][0] = m0 * ox + m4 * oy            + m12 * ow;
      to[i][1] = m1 * ox + m5 * oy            + m13 * ow;
      to[i][2] =                   +       oz           ;
      to[i][3] =                                      ow;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points4_2d_no_rot)( GLvector4f *to_vec,
				  const GLfloat m[16],
				  const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5], m12 = m[12], m13 = m[13];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2], ow = from[3];
      to[i][0] = m0 * ox                      + m12 * ow;
      to[i][1] =           m5 * oy            + m13 * ow;
      to[i][2] =                   +       oz           ;
      to[i][3] =                                      ow;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points4_3d)( GLvector4f *to_vec,
			   const GLfloat m[16],
			   const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m1 = m[1], m2 = m[2], m4 = m[4], m5 = m[5];
   const GLfloat m6 = m[6], m8 = m[8], m9 = m[9], m10 = m[10];
   const GLfloat m12 = m[12], m13 = m[13], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2], ow = from[3];
      to[i][0] = m0 * ox + m4 * oy +  m8 * oz + m12 * ow;
      to[i][1] = m1 * ox + m5 * oy +  m9 * oz + m13 * ow;
      to[i][2] = m2 * ox + m6 * oy + m10 * oz + m14 * ow;
      to[i][3] =                                      ow;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points4_3d_no_rot)( GLvector4f *to_vec,
				  const GLfloat m[16],
				  const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5];
   const GLfloat m10 = m[10], m12 = m[12], m13 = m[13], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2], ow = from[3];
      to[i][0] = m0 * ox                      + m12 * ow;
      to[i][1] =           m5 * oy            + m13 * ow;
      to[i][2] =                     m10 * oz + m14 * ow;
      to[i][3] =                                      ow;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static void _XFORMAPI
TAG(transform_points4_perspective)( GLvector4f *to_vec,
				    const GLfloat m[16],
				    const GLvector4f *from_vec )
{
   const GLuint stride = from_vec->stride;
   GLfloat *from = from_vec->start;
   GLfloat (*to)[4] = (GLfloat (*)[4])to_vec->start;
   GLuint count = from_vec->count;
   const GLfloat m0 = m[0], m5 = m[5], m8 = m[8], m9 = m[9];
   const GLfloat m10 = m[10], m14 = m[14];
   GLuint i;
   STRIDE_LOOP {
      const GLfloat ox = from[0], oy = from[1], oz = from[2], ow = from[3];
      to[i][0] = m0 * ox           + m8  * oz            ;
      to[i][1] =           m5 * oy + m9  * oz            ;
      to[i][2] =                     m10 * oz + m14 * ow ;
      to[i][3] =                          -oz            ;
   }
   to_vec->size = 4;
   to_vec->flags |= VEC_SIZE_4;
   to_vec->count = from_vec->count;
}

static transform_func TAG(transform_tab_1)[7];
static transform_func TAG(transform_tab_2)[7];
static transform_func TAG(transform_tab_3)[7];
static transform_func TAG(transform_tab_4)[7];

/* Similar functions could be called several times, with more highly
 * optimized routines overwriting the arrays.  This only occurs during
 * startup.
 */
static void _XFORMAPI TAG(init_c_transformations)( void )
{
#define TAG_TAB   _mesa_transform_tab
#define TAG_TAB_1 TAG(transform_tab_1)
#define TAG_TAB_2 TAG(transform_tab_2)
#define TAG_TAB_3 TAG(transform_tab_3)
#define TAG_TAB_4 TAG(transform_tab_4)

   TAG_TAB[1] = TAG_TAB_1;
   TAG_TAB[2] = TAG_TAB_2;
   TAG_TAB[3] = TAG_TAB_3;
   TAG_TAB[4] = TAG_TAB_4;

   /* 1-D points (ie texcoords) */
   TAG_TAB_1[MATRIX_GENERAL]     = TAG(transform_points1_general);
   TAG_TAB_1[MATRIX_IDENTITY]    = TAG(transform_points1_identity);
   TAG_TAB_1[MATRIX_3D_NO_ROT]   = TAG(transform_points1_3d_no_rot);
   TAG_TAB_1[MATRIX_PERSPECTIVE] = TAG(transform_points1_perspective);
   TAG_TAB_1[MATRIX_2D]          = TAG(transform_points1_2d);
   TAG_TAB_1[MATRIX_2D_NO_ROT]   = TAG(transform_points1_2d_no_rot);
   TAG_TAB_1[MATRIX_3D]          = TAG(transform_points1_3d);

   /* 2-D points */
   TAG_TAB_2[MATRIX_GENERAL]     = TAG(transform_points2_general);
   TAG_TAB_2[MATRIX_IDENTITY]    = TAG(transform_points2_identity);
   TAG_TAB_2[MATRIX_3D_NO_ROT]   = TAG(transform_points2_3d_no_rot);
   TAG_TAB_2[MATRIX_PERSPECTIVE] = TAG(transform_points2_perspective);
   TAG_TAB_2[MATRIX_2D]          = TAG(transform_points2_2d);
   TAG_TAB_2[MATRIX_2D_NO_ROT]   = TAG(transform_points2_2d_no_rot);
   TAG_TAB_2[MATRIX_3D]          = TAG(transform_points2_3d);

   /* 3-D points */
   TAG_TAB_3[MATRIX_GENERAL]     = TAG(transform_points3_general);
   TAG_TAB_3[MATRIX_IDENTITY]    = TAG(transform_points3_identity);
   TAG_TAB_3[MATRIX_3D_NO_ROT]   = TAG(transform_points3_3d_no_rot);
   TAG_TAB_3[MATRIX_PERSPECTIVE] = TAG(transform_points3_perspective);
   TAG_TAB_3[MATRIX_2D]          = TAG(transform_points3_2d);
   TAG_TAB_3[MATRIX_2D_NO_ROT]   = TAG(transform_points3_2d_no_rot);
   TAG_TAB_3[MATRIX_3D]          = TAG(transform_points3_3d);

   /* 4-D points */
   TAG_TAB_4[MATRIX_GENERAL]     = TAG(transform_points4_general);
   TAG_TAB_4[MATRIX_IDENTITY]    = TAG(transform_points4_identity);
   TAG_TAB_4[MATRIX_3D_NO_ROT]   = TAG(transform_points4_3d_no_rot);
   TAG_TAB_4[MATRIX_PERSPECTIVE] = TAG(transform_points4_perspective);
   TAG_TAB_4[MATRIX_2D]          = TAG(transform_points4_2d);
   TAG_TAB_4[MATRIX_2D_NO_ROT]   = TAG(transform_points4_2d_no_rot);
   TAG_TAB_4[MATRIX_3D]          = TAG(transform_points4_3d);

#undef TAG_TAB
#undef TAG_TAB_1
#undef TAG_TAB_2
#undef TAG_TAB_3
#undef TAG_TAB_4
}