aboutsummaryrefslogtreecommitdiff
path: root/mesalib/src/mesa/math
diff options
context:
space:
mode:
Diffstat (limited to 'mesalib/src/mesa/math')
-rw-r--r--mesalib/src/mesa/math/m_debug_clip.c791
-rw-r--r--mesalib/src/mesa/math/m_debug_norm.c766
-rw-r--r--mesalib/src/mesa/math/m_debug_xform.c678
-rw-r--r--mesalib/src/mesa/math/m_matrix.c3283
-rw-r--r--mesalib/src/mesa/math/m_vector.c369
5 files changed, 2956 insertions, 2931 deletions
diff --git a/mesalib/src/mesa/math/m_debug_clip.c b/mesalib/src/mesa/math/m_debug_clip.c
index 7ea5428aa..36d2a9e64 100644
--- a/mesalib/src/mesa/math/m_debug_clip.c
+++ b/mesalib/src/mesa/math/m_debug_clip.c
@@ -1,382 +1,409 @@
-/*
- * Mesa 3-D graphics library
- * Version: 6.1
- *
- * Copyright (C) 1999-2005 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.
- *
- * Authors:
- * Gareth Hughes
- */
-
-#include "main/glheader.h"
-#include "main/context.h"
-#include "main/macros.h"
-#include "main/imports.h"
-
-#include "m_matrix.h"
-#include "m_xform.h"
-
-#include "m_debug.h"
-#include "m_debug_util.h"
-
-#ifdef __UNIXOS2__
-/* The linker doesn't like empty files */
-static char dummy;
-#endif
-
-#ifdef DEBUG_MATH /* This code only used for debugging */
-
-static clip_func *clip_tab[2] = {
- _mesa_clip_tab,
- _mesa_clip_np_tab
-};
-static char *cnames[2] = {
- "_mesa_clip_tab",
- "_mesa_clip_np_tab"
-};
-#ifdef RUN_DEBUG_BENCHMARK
-static char *cstrings[2] = {
- "clip, perspective divide",
- "clip, no divide"
-};
-#endif
-
-
-/* =============================================================
- * Reference cliptests
- */
-
-static GLvector4f *ref_cliptest_points4( GLvector4f *clip_vec,
- GLvector4f *proj_vec,
- GLubyte clipMask[],
- GLubyte *orMask,
- GLubyte *andMask,
- GLboolean viewport_z_clip )
-{
- const GLuint stride = clip_vec->stride;
- const GLuint count = clip_vec->count;
- const GLfloat *from = (GLfloat *)clip_vec->start;
- GLuint c = 0;
- GLfloat (*vProj)[4] = (GLfloat (*)[4])proj_vec->start;
- GLubyte tmpAndMask = *andMask;
- GLubyte tmpOrMask = *orMask;
- GLuint i;
- for ( i = 0 ; i < count ; i++, STRIDE_F(from, stride) ) {
- const GLfloat cx = from[0];
- const GLfloat cy = from[1];
- const GLfloat cz = from[2];
- const GLfloat cw = from[3];
- GLubyte mask = 0;
- if ( -cx + cw < 0 ) mask |= CLIP_RIGHT_BIT;
- if ( cx + cw < 0 ) mask |= CLIP_LEFT_BIT;
- if ( -cy + cw < 0 ) mask |= CLIP_TOP_BIT;
- if ( cy + cw < 0 ) mask |= CLIP_BOTTOM_BIT;
- if (viewport_z_clip) {
- if ( -cz + cw < 0 ) mask |= CLIP_FAR_BIT;
- if ( cz + cw < 0 ) mask |= CLIP_NEAR_BIT;
- }
- clipMask[i] = mask;
- if ( mask ) {
- c++;
- tmpAndMask &= mask;
- tmpOrMask |= mask;
- vProj[i][0] = 0;
- vProj[i][1] = 0;
- vProj[i][2] = 0;
- vProj[i][3] = 1;
- } else {
- GLfloat oow = 1.0F / cw;
- vProj[i][0] = cx * oow;
- vProj[i][1] = cy * oow;
- vProj[i][2] = cz * oow;
- vProj[i][3] = oow;
- }
- }
-
- *orMask = tmpOrMask;
- *andMask = (GLubyte) (c < count ? 0 : tmpAndMask);
-
- proj_vec->flags |= VEC_SIZE_4;
- proj_vec->size = 4;
- proj_vec->count = clip_vec->count;
- return proj_vec;
-}
-
-/* Keep these here for now, even though we don't use them...
- */
-static GLvector4f *ref_cliptest_points3( GLvector4f *clip_vec,
- GLvector4f *proj_vec,
- GLubyte clipMask[],
- GLubyte *orMask,
- GLubyte *andMask,
- GLboolean viewport_z_clip )
-{
- const GLuint stride = clip_vec->stride;
- const GLuint count = clip_vec->count;
- const GLfloat *from = (GLfloat *)clip_vec->start;
-
- GLubyte tmpOrMask = *orMask;
- GLubyte tmpAndMask = *andMask;
- GLuint i;
- for ( i = 0 ; i < count ; i++, STRIDE_F(from, stride) ) {
- const GLfloat cx = from[0], cy = from[1], cz = from[2];
- GLubyte mask = 0;
- if ( cx > 1.0 ) mask |= CLIP_RIGHT_BIT;
- else if ( cx < -1.0 ) mask |= CLIP_LEFT_BIT;
- if ( cy > 1.0 ) mask |= CLIP_TOP_BIT;
- else if ( cy < -1.0 ) mask |= CLIP_BOTTOM_BIT;
- if (viewport_z_clip) {
- if ( cz > 1.0 ) mask |= CLIP_FAR_BIT;
- else if ( cz < -1.0 ) mask |= CLIP_NEAR_BIT;
- }
- clipMask[i] = mask;
- tmpOrMask |= mask;
- tmpAndMask &= mask;
- }
-
- *orMask = tmpOrMask;
- *andMask = tmpAndMask;
- return clip_vec;
-}
-
-static GLvector4f * ref_cliptest_points2( GLvector4f *clip_vec,
- GLvector4f *proj_vec,
- GLubyte clipMask[],
- GLubyte *orMask,
- GLubyte *andMask,
- GLboolean viewport_z_clip )
-{
- const GLuint stride = clip_vec->stride;
- const GLuint count = clip_vec->count;
- const GLfloat *from = (GLfloat *)clip_vec->start;
-
- GLubyte tmpOrMask = *orMask;
- GLubyte tmpAndMask = *andMask;
- GLuint i;
-
- (void) viewport_z_clip;
-
- for ( i = 0 ; i < count ; i++, STRIDE_F(from, stride) ) {
- const GLfloat cx = from[0], cy = from[1];
- GLubyte mask = 0;
- if ( cx > 1.0 ) mask |= CLIP_RIGHT_BIT;
- else if ( cx < -1.0 ) mask |= CLIP_LEFT_BIT;
- if ( cy > 1.0 ) mask |= CLIP_TOP_BIT;
- else if ( cy < -1.0 ) mask |= CLIP_BOTTOM_BIT;
- clipMask[i] = mask;
- tmpOrMask |= mask;
- tmpAndMask &= mask;
- }
-
- *orMask = tmpOrMask;
- *andMask = tmpAndMask;
- return clip_vec;
-}
-
-static clip_func ref_cliptest[5] = {
- 0,
- 0,
- ref_cliptest_points2,
- ref_cliptest_points3,
- ref_cliptest_points4
-};
-
-
-/* =============================================================
- * Cliptest tests
- */
-
-ALIGN16(static GLfloat, s[TEST_COUNT][4]);
-ALIGN16(static GLfloat, d[TEST_COUNT][4]);
-ALIGN16(static GLfloat, r[TEST_COUNT][4]);
-
-
-static int test_cliptest_function( clip_func func, int np,
- int psize, long *cycles )
-{
- GLvector4f source[1], dest[1], ref[1];
- GLubyte dm[TEST_COUNT], dco, dca;
- GLubyte rm[TEST_COUNT], rco, rca;
- int i, j;
-#ifdef RUN_DEBUG_BENCHMARK
- int cycle_i; /* the counter for the benchmarks we run */
-#endif
- GLboolean viewport_z_clip = GL_TRUE;
-
- (void) cycles;
-
- if ( psize > 4 ) {
- _mesa_problem( NULL, "test_cliptest_function called with psize > 4\n" );
- return 0;
- }
-
- for ( i = 0 ; i < TEST_COUNT ; i++) {
- ASSIGN_4V( d[i], 0.0, 0.0, 0.0, 1.0 );
- ASSIGN_4V( s[i], 0.0, 0.0, 0.0, 1.0 );
- for ( j = 0 ; j < psize ; j++ )
- s[i][j] = rnd();
- }
-
- source->data = (GLfloat(*)[4])s;
- source->start = (GLfloat *)s;
- source->count = TEST_COUNT;
- source->stride = sizeof(s[0]);
- source->size = 4;
- source->flags = 0;
-
- dest->data = (GLfloat(*)[4])d;
- dest->start = (GLfloat *)d;
- dest->count = TEST_COUNT;
- dest->stride = sizeof(float[4]);
- dest->size = 0;
- dest->flags = 0;
-
- ref->data = (GLfloat(*)[4])r;
- ref->start = (GLfloat *)r;
- ref->count = TEST_COUNT;
- ref->stride = sizeof(float[4]);
- ref->size = 0;
- ref->flags = 0;
-
- dco = rco = 0;
- dca = rca = CLIP_FRUSTUM_BITS;
-
- ref_cliptest[psize]( source, ref, rm, &rco, &rca, viewport_z_clip );
-
- if ( mesa_profile ) {
- BEGIN_RACE( *cycles );
- func( source, dest, dm, &dco, &dca, viewport_z_clip );
- END_RACE( *cycles );
- }
- else {
- func( source, dest, dm, &dco, &dca, viewport_z_clip );
- }
-
- if ( dco != rco ) {
- printf( "\n-----------------------------\n" );
- printf( "dco = 0x%02x rco = 0x%02x\n", dco, rco );
- return 0;
- }
- if ( dca != rca ) {
- printf( "\n-----------------------------\n" );
- printf( "dca = 0x%02x rca = 0x%02x\n", dca, rca );
- return 0;
- }
- for ( i = 0 ; i < TEST_COUNT ; i++ ) {
- if ( dm[i] != rm[i] ) {
- printf( "\n-----------------------------\n" );
- printf( "(i = %i)\n", i );
- printf( "dm = 0x%02x rm = 0x%02x\n", dm[i], rm[i] );
- return 0;
- }
- }
-
- /* Only verify output on projected points4 case. FIXME: Do we need
- * to test other cases?
- */
- if ( np || psize < 4 )
- return 1;
-
- for ( i = 0 ; i < TEST_COUNT ; i++ ) {
- for ( j = 0 ; j < 4 ; j++ ) {
- if ( significand_match( d[i][j], r[i][j] ) < REQUIRED_PRECISION ) {
- printf( "\n-----------------------------\n" );
- printf( "(i = %i, j = %i) dm = 0x%02x rm = 0x%02x\n",
- i, j, dm[i], rm[i] );
- printf( "%f \t %f \t [diff = %e - %i bit missed]\n",
- d[i][0], r[i][0], r[i][0]-d[i][0],
- MAX_PRECISION - significand_match( d[i][0], r[i][0] ) );
- printf( "%f \t %f \t [diff = %e - %i bit missed]\n",
- d[i][1], r[i][1], r[i][1]-d[i][1],
- MAX_PRECISION - significand_match( d[i][1], r[i][1] ) );
- printf( "%f \t %f \t [diff = %e - %i bit missed]\n",
- d[i][2], r[i][2], r[i][2]-d[i][2],
- MAX_PRECISION - significand_match( d[i][2], r[i][2] ) );
- printf( "%f \t %f \t [diff = %e - %i bit missed]\n",
- d[i][3], r[i][3], r[i][3]-d[i][3],
- MAX_PRECISION - significand_match( d[i][3], r[i][3] ) );
- return 0;
- }
- }
- }
-
- return 1;
-}
-
-void _math_test_all_cliptest_functions( char *description )
-{
- int np, psize;
- long benchmark_tab[2][4];
- static int first_time = 1;
-
- if ( first_time ) {
- first_time = 0;
- mesa_profile = _mesa_getenv( "MESA_PROFILE" );
- }
-
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile ) {
- if ( !counter_overhead ) {
- INIT_COUNTER();
- printf( "counter overhead: %ld cycles\n\n", counter_overhead );
- }
- printf( "cliptest results after hooking in %s functions:\n", description );
- }
-#endif
-
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile ) {
- printf( "\n\t" );
- for ( psize = 2 ; psize <= 4 ; psize++ ) {
- printf( " p%d\t", psize );
- }
- printf( "\n--------------------------------------------------------\n\t" );
- }
-#endif
-
- for ( np = 0 ; np < 2 ; np++ ) {
- for ( psize = 2 ; psize <= 4 ; psize++ ) {
- clip_func func = clip_tab[np][psize];
- long *cycles = &(benchmark_tab[np][psize-1]);
-
- if ( test_cliptest_function( func, np, psize, cycles ) == 0 ) {
- char buf[100];
- sprintf( buf, "%s[%d] failed test (%s)",
- cnames[np], psize, description );
- _mesa_problem( NULL, buf );
- }
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile )
- printf( " %li\t", benchmark_tab[np][psize-1] );
-#endif
- }
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile )
- printf( " | [%s]\n\t", cstrings[np] );
-#endif
- }
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile )
- printf( "\n" );
-#endif
-}
-
-
-#endif /* DEBUG_MATH */
+/*
+ * Mesa 3-D graphics library
+ * Version: 6.1
+ *
+ * Copyright (C) 1999-2005 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.
+ *
+ * Authors:
+ * Gareth Hughes
+ */
+
+#include "main/glheader.h"
+#include "main/context.h"
+#include "main/macros.h"
+#include "main/imports.h"
+
+#include "m_matrix.h"
+#include "m_xform.h"
+
+#include "m_debug.h"
+#include "m_debug_util.h"
+
+#ifdef __UNIXOS2__
+/* The linker doesn't like empty files */
+static char dummy;
+#endif
+
+#ifdef DEBUG_MATH /* This code only used for debugging */
+
+static clip_func *clip_tab[2] = {
+ _mesa_clip_tab,
+ _mesa_clip_np_tab
+};
+static char *cnames[2] = {
+ "_mesa_clip_tab",
+ "_mesa_clip_np_tab"
+};
+#ifdef RUN_DEBUG_BENCHMARK
+static char *cstrings[2] = {
+ "clip, perspective divide",
+ "clip, no divide"
+};
+#endif
+
+
+/* =============================================================
+ * Reference cliptests
+ */
+
+static GLvector4f *ref_cliptest_points4( GLvector4f *clip_vec,
+ GLvector4f *proj_vec,
+ GLubyte clipMask[],
+ GLubyte *orMask,
+ GLubyte *andMask,
+ GLboolean viewport_z_clip )
+{
+ const GLuint stride = clip_vec->stride;
+ const GLuint count = clip_vec->count;
+ const GLfloat *from = (GLfloat *)clip_vec->start;
+ GLuint c = 0;
+ GLfloat (*vProj)[4] = (GLfloat (*)[4])proj_vec->start;
+ GLubyte tmpAndMask = *andMask;
+ GLubyte tmpOrMask = *orMask;
+ GLuint i;
+ for ( i = 0 ; i < count ; i++, STRIDE_F(from, stride) ) {
+ const GLfloat cx = from[0];
+ const GLfloat cy = from[1];
+ const GLfloat cz = from[2];
+ const GLfloat cw = from[3];
+ GLubyte mask = 0;
+ if ( -cx + cw < 0 ) mask |= CLIP_RIGHT_BIT;
+ if ( cx + cw < 0 ) mask |= CLIP_LEFT_BIT;
+ if ( -cy + cw < 0 ) mask |= CLIP_TOP_BIT;
+ if ( cy + cw < 0 ) mask |= CLIP_BOTTOM_BIT;
+ if (viewport_z_clip) {
+ if ( -cz + cw < 0 ) mask |= CLIP_FAR_BIT;
+ if ( cz + cw < 0 ) mask |= CLIP_NEAR_BIT;
+ }
+ clipMask[i] = mask;
+ if ( mask ) {
+ c++;
+ tmpAndMask &= mask;
+ tmpOrMask |= mask;
+ vProj[i][0] = 0;
+ vProj[i][1] = 0;
+ vProj[i][2] = 0;
+ vProj[i][3] = 1;
+ } else {
+ GLfloat oow = 1.0F / cw;
+ vProj[i][0] = cx * oow;
+ vProj[i][1] = cy * oow;
+ vProj[i][2] = cz * oow;
+ vProj[i][3] = oow;
+ }
+ }
+
+ *orMask = tmpOrMask;
+ *andMask = (GLubyte) (c < count ? 0 : tmpAndMask);
+
+ proj_vec->flags |= VEC_SIZE_4;
+ proj_vec->size = 4;
+ proj_vec->count = clip_vec->count;
+ return proj_vec;
+}
+
+/* Keep these here for now, even though we don't use them...
+ */
+static GLvector4f *ref_cliptest_points3( GLvector4f *clip_vec,
+ GLvector4f *proj_vec,
+ GLubyte clipMask[],
+ GLubyte *orMask,
+ GLubyte *andMask,
+ GLboolean viewport_z_clip )
+{
+ const GLuint stride = clip_vec->stride;
+ const GLuint count = clip_vec->count;
+ const GLfloat *from = (GLfloat *)clip_vec->start;
+
+ GLubyte tmpOrMask = *orMask;
+ GLubyte tmpAndMask = *andMask;
+ GLuint i;
+ for ( i = 0 ; i < count ; i++, STRIDE_F(from, stride) ) {
+ const GLfloat cx = from[0], cy = from[1], cz = from[2];
+ GLubyte mask = 0;
+ if ( cx > 1.0 ) mask |= CLIP_RIGHT_BIT;
+ else if ( cx < -1.0 ) mask |= CLIP_LEFT_BIT;
+ if ( cy > 1.0 ) mask |= CLIP_TOP_BIT;
+ else if ( cy < -1.0 ) mask |= CLIP_BOTTOM_BIT;
+ if (viewport_z_clip) {
+ if ( cz > 1.0 ) mask |= CLIP_FAR_BIT;
+ else if ( cz < -1.0 ) mask |= CLIP_NEAR_BIT;
+ }
+ clipMask[i] = mask;
+ tmpOrMask |= mask;
+ tmpAndMask &= mask;
+ }
+
+ *orMask = tmpOrMask;
+ *andMask = tmpAndMask;
+ return clip_vec;
+}
+
+static GLvector4f * ref_cliptest_points2( GLvector4f *clip_vec,
+ GLvector4f *proj_vec,
+ GLubyte clipMask[],
+ GLubyte *orMask,
+ GLubyte *andMask,
+ GLboolean viewport_z_clip )
+{
+ const GLuint stride = clip_vec->stride;
+ const GLuint count = clip_vec->count;
+ const GLfloat *from = (GLfloat *)clip_vec->start;
+
+ GLubyte tmpOrMask = *orMask;
+ GLubyte tmpAndMask = *andMask;
+ GLuint i;
+
+ (void) viewport_z_clip;
+
+ for ( i = 0 ; i < count ; i++, STRIDE_F(from, stride) ) {
+ const GLfloat cx = from[0], cy = from[1];
+ GLubyte mask = 0;
+ if ( cx > 1.0 ) mask |= CLIP_RIGHT_BIT;
+ else if ( cx < -1.0 ) mask |= CLIP_LEFT_BIT;
+ if ( cy > 1.0 ) mask |= CLIP_TOP_BIT;
+ else if ( cy < -1.0 ) mask |= CLIP_BOTTOM_BIT;
+ clipMask[i] = mask;
+ tmpOrMask |= mask;
+ tmpAndMask &= mask;
+ }
+
+ *orMask = tmpOrMask;
+ *andMask = tmpAndMask;
+ return clip_vec;
+}
+
+static clip_func ref_cliptest[5] = {
+ 0,
+ 0,
+ ref_cliptest_points2,
+ ref_cliptest_points3,
+ ref_cliptest_points4
+};
+
+
+/* =============================================================
+ * Cliptest tests
+ */
+
+ALIGN16(static GLfloat, s[TEST_COUNT][4]);
+ALIGN16(static GLfloat, d[TEST_COUNT][4]);
+ALIGN16(static GLfloat, r[TEST_COUNT][4]);
+
+
+/**
+ * Check if X, Y or Z component of the coordinate is close to W, in terms
+ * of the clip test.
+ */
+static GLboolean
+xyz_close_to_w(const GLfloat c[4])
+{
+ float k = 0.0001;
+ return (fabs(c[0] - c[3]) < k ||
+ fabs(c[1] - c[3]) < k ||
+ fabs(c[2] - c[3]) < k ||
+ fabs(-c[0] - c[3]) < k ||
+ fabs(-c[1] - c[3]) < k ||
+ fabs(-c[2] - c[3]) < k);
+}
+
+
+
+static int test_cliptest_function( clip_func func, int np,
+ int psize, long *cycles )
+{
+ GLvector4f source[1], dest[1], ref[1];
+ GLubyte dm[TEST_COUNT], dco, dca;
+ GLubyte rm[TEST_COUNT], rco, rca;
+ int i, j;
+#ifdef RUN_DEBUG_BENCHMARK
+ int cycle_i; /* the counter for the benchmarks we run */
+#endif
+ GLboolean viewport_z_clip = GL_TRUE;
+
+ (void) cycles;
+
+ if ( psize > 4 ) {
+ _mesa_problem( NULL, "test_cliptest_function called with psize > 4\n" );
+ return 0;
+ }
+
+ for ( i = 0 ; i < TEST_COUNT ; i++) {
+ ASSIGN_4V( d[i], 0.0, 0.0, 0.0, 1.0 );
+ ASSIGN_4V( s[i], 0.0, 0.0, 0.0, 1.0 );
+ for ( j = 0 ; j < psize ; j++ )
+ s[i][j] = rnd();
+ }
+
+ source->data = (GLfloat(*)[4])s;
+ source->start = (GLfloat *)s;
+ source->count = TEST_COUNT;
+ source->stride = sizeof(s[0]);
+ source->size = 4;
+ source->flags = 0;
+
+ dest->data = (GLfloat(*)[4])d;
+ dest->start = (GLfloat *)d;
+ dest->count = TEST_COUNT;
+ dest->stride = sizeof(float[4]);
+ dest->size = 0;
+ dest->flags = 0;
+
+ ref->data = (GLfloat(*)[4])r;
+ ref->start = (GLfloat *)r;
+ ref->count = TEST_COUNT;
+ ref->stride = sizeof(float[4]);
+ ref->size = 0;
+ ref->flags = 0;
+
+ dco = rco = 0;
+ dca = rca = CLIP_FRUSTUM_BITS;
+
+ ref_cliptest[psize]( source, ref, rm, &rco, &rca, viewport_z_clip );
+
+ if ( mesa_profile ) {
+ BEGIN_RACE( *cycles );
+ func( source, dest, dm, &dco, &dca, viewport_z_clip );
+ END_RACE( *cycles );
+ }
+ else {
+ func( source, dest, dm, &dco, &dca, viewport_z_clip );
+ }
+
+ if ( dco != rco ) {
+ printf( "\n-----------------------------\n" );
+ printf( "dco = 0x%02x rco = 0x%02x\n", dco, rco );
+ return 0;
+ }
+ if ( dca != rca ) {
+ printf( "\n-----------------------------\n" );
+ printf( "dca = 0x%02x rca = 0x%02x\n", dca, rca );
+ return 0;
+ }
+ for ( i = 0 ; i < TEST_COUNT ; i++ ) {
+ if ( dm[i] != rm[i] ) {
+ GLfloat *c = source->start;
+ STRIDE_F(c, source->stride * i);
+ if (psize == 4 && xyz_close_to_w(c)) {
+ /* The coordinate is very close to the clip plane. The clipmask
+ * may vary depending on code path, but that's OK.
+ */
+ continue;
+ }
+ printf( "\n-----------------------------\n" );
+ printf( "mask[%d] = 0x%02x ref mask[%d] = 0x%02x\n", i, dm[i], i,rm[i] );
+ printf(" coord = %f, %f, %f, %f\n",
+ c[0], c[1], c[2], c[3]);
+ return 0;
+ }
+ }
+
+ /* Only verify output on projected points4 case. FIXME: Do we need
+ * to test other cases?
+ */
+ if ( np || psize < 4 )
+ return 1;
+
+ for ( i = 0 ; i < TEST_COUNT ; i++ ) {
+ for ( j = 0 ; j < 4 ; j++ ) {
+ if ( significand_match( d[i][j], r[i][j] ) < REQUIRED_PRECISION ) {
+ printf( "\n-----------------------------\n" );
+ printf( "(i = %i, j = %i) dm = 0x%02x rm = 0x%02x\n",
+ i, j, dm[i], rm[i] );
+ printf( "%f \t %f \t [diff = %e - %i bit missed]\n",
+ d[i][0], r[i][0], r[i][0]-d[i][0],
+ MAX_PRECISION - significand_match( d[i][0], r[i][0] ) );
+ printf( "%f \t %f \t [diff = %e - %i bit missed]\n",
+ d[i][1], r[i][1], r[i][1]-d[i][1],
+ MAX_PRECISION - significand_match( d[i][1], r[i][1] ) );
+ printf( "%f \t %f \t [diff = %e - %i bit missed]\n",
+ d[i][2], r[i][2], r[i][2]-d[i][2],
+ MAX_PRECISION - significand_match( d[i][2], r[i][2] ) );
+ printf( "%f \t %f \t [diff = %e - %i bit missed]\n",
+ d[i][3], r[i][3], r[i][3]-d[i][3],
+ MAX_PRECISION - significand_match( d[i][3], r[i][3] ) );
+ return 0;
+ }
+ }
+ }
+
+ return 1;
+}
+
+void _math_test_all_cliptest_functions( char *description )
+{
+ int np, psize;
+ long benchmark_tab[2][4];
+ static int first_time = 1;
+
+ if ( first_time ) {
+ first_time = 0;
+ mesa_profile = _mesa_getenv( "MESA_PROFILE" );
+ }
+
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile ) {
+ if ( !counter_overhead ) {
+ INIT_COUNTER();
+ printf( "counter overhead: %ld cycles\n\n", counter_overhead );
+ }
+ printf( "cliptest results after hooking in %s functions:\n", description );
+ }
+#endif
+
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile ) {
+ printf( "\n\t" );
+ for ( psize = 2 ; psize <= 4 ; psize++ ) {
+ printf( " p%d\t", psize );
+ }
+ printf( "\n--------------------------------------------------------\n\t" );
+ }
+#endif
+
+ for ( np = 0 ; np < 2 ; np++ ) {
+ for ( psize = 2 ; psize <= 4 ; psize++ ) {
+ clip_func func = clip_tab[np][psize];
+ long *cycles = &(benchmark_tab[np][psize-1]);
+
+ if ( test_cliptest_function( func, np, psize, cycles ) == 0 ) {
+ char buf[100];
+ sprintf( buf, "%s[%d] failed test (%s)",
+ cnames[np], psize, description );
+ _mesa_problem( NULL, "%s", buf );
+ }
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile )
+ printf( " %li\t", benchmark_tab[np][psize-1] );
+#endif
+ }
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile )
+ printf( " | [%s]\n\t", cstrings[np] );
+#endif
+ }
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile )
+ printf( "\n" );
+#endif
+}
+
+
+#endif /* DEBUG_MATH */
diff --git a/mesalib/src/mesa/math/m_debug_norm.c b/mesalib/src/mesa/math/m_debug_norm.c
index 710bad14d..eae37c225 100644
--- a/mesalib/src/mesa/math/m_debug_norm.c
+++ b/mesalib/src/mesa/math/m_debug_norm.c
@@ -1,383 +1,383 @@
-
-/*
- * Mesa 3-D graphics library
- * Version: 5.1
- *
- * Copyright (C) 1999-2003 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.
- *
- * Authors:
- * Gareth Hughes
- */
-
-#include "main/glheader.h"
-#include "main/context.h"
-#include "main/macros.h"
-#include "main/imports.h"
-
-#include "m_matrix.h"
-#include "m_xform.h"
-
-#include "m_debug.h"
-#include "m_debug_util.h"
-
-
-#ifdef __UNIXOS2__
-/* The linker doesn't like empty files */
-static char dummy;
-#endif
-
-#ifdef DEBUG_MATH /* This code only used for debugging */
-
-
-static int m_norm_identity[16] = {
- ONE, NIL, NIL, NIL,
- NIL, ONE, NIL, NIL,
- NIL, NIL, ONE, NIL,
- NIL, NIL, NIL, NIL
-};
-static int m_norm_general[16] = {
- VAR, VAR, VAR, NIL,
- VAR, VAR, VAR, NIL,
- VAR, VAR, VAR, NIL,
- NIL, NIL, NIL, NIL
-};
-static int m_norm_no_rot[16] = {
- VAR, NIL, NIL, NIL,
- NIL, VAR, NIL, NIL,
- NIL, NIL, VAR, NIL,
- NIL, NIL, NIL, NIL
-};
-static int *norm_templates[8] = {
- m_norm_no_rot,
- m_norm_no_rot,
- m_norm_no_rot,
- m_norm_general,
- m_norm_general,
- m_norm_general,
- m_norm_identity,
- m_norm_identity
-};
-static int norm_types[8] = {
- NORM_TRANSFORM_NO_ROT,
- NORM_TRANSFORM_NO_ROT | NORM_RESCALE,
- NORM_TRANSFORM_NO_ROT | NORM_NORMALIZE,
- NORM_TRANSFORM,
- NORM_TRANSFORM | NORM_RESCALE,
- NORM_TRANSFORM | NORM_NORMALIZE,
- NORM_RESCALE,
- NORM_NORMALIZE
-};
-static int norm_scale_types[8] = { /* rescale factor */
- NIL, /* NIL disables rescaling */
- VAR,
- NIL,
- NIL,
- VAR,
- NIL,
- VAR,
- NIL
-};
-static int norm_normalize_types[8] = { /* normalizing ?? (no = 0) */
- 0,
- 0,
- 1,
- 0,
- 0,
- 1,
- 0,
- 1
-};
-static char *norm_strings[8] = {
- "NORM_TRANSFORM_NO_ROT",
- "NORM_TRANSFORM_NO_ROT | NORM_RESCALE",
- "NORM_TRANSFORM_NO_ROT | NORM_NORMALIZE",
- "NORM_TRANSFORM",
- "NORM_TRANSFORM | NORM_RESCALE",
- "NORM_TRANSFORM | NORM_NORMALIZE",
- "NORM_RESCALE",
- "NORM_NORMALIZE"
-};
-
-
-/* =============================================================
- * Reference transformations
- */
-
-static void ref_norm_transform_rescale( const GLmatrix *mat,
- GLfloat scale,
- const GLvector4f *in,
- const GLfloat *lengths,
- GLvector4f *dest )
-{
- GLuint i;
- const GLfloat *s = in->start;
- const GLfloat *m = mat->inv;
- GLfloat (*out)[4] = (GLfloat (*)[4]) dest->start;
-
- (void) lengths;
-
- for ( i = 0 ; i < in->count ; i++ ) {
- GLfloat t[3];
-
- TRANSFORM_NORMAL( t, s, m );
- SCALE_SCALAR_3V( out[i], scale, t );
-
- s = (GLfloat *)((char *)s + in->stride);
- }
-}
-
-static void ref_norm_transform_normalize( const GLmatrix *mat,
- GLfloat scale,
- const GLvector4f *in,
- const GLfloat *lengths,
- GLvector4f *dest )
-{
- GLuint i;
- const GLfloat *s = in->start;
- const GLfloat *m = mat->inv;
- GLfloat (*out)[4] = (GLfloat (*)[4]) dest->start;
-
- for ( i = 0 ; i < in->count ; i++ ) {
- GLfloat t[3];
-
- TRANSFORM_NORMAL( t, s, m );
-
- if ( !lengths ) {
- GLfloat len = LEN_SQUARED_3FV( t );
- if ( len > 1e-20 ) {
- /* Hmmm, don't know how we could test the precalculated
- * length case...
- */
- scale = 1.0 / SQRTF( len );
- SCALE_SCALAR_3V( out[i], scale, t );
- } else {
- out[i][0] = out[i][1] = out[i][2] = 0;
- }
- } else {
- scale = lengths[i];;
- SCALE_SCALAR_3V( out[i], scale, t );
- }
-
- s = (GLfloat *)((char *)s + in->stride);
- }
-}
-
-
-/* =============================================================
- * Normal transformation tests
- */
-
-static void init_matrix( GLfloat *m )
-{
- m[0] = 63.0; m[4] = 43.0; m[ 8] = 29.0; m[12] = 43.0;
- m[1] = 55.0; m[5] = 17.0; m[ 9] = 31.0; m[13] = 7.0;
- m[2] = 44.0; m[6] = 9.0; m[10] = 7.0; m[14] = 3.0;
- m[3] = 11.0; m[7] = 23.0; m[11] = 91.0; m[15] = 9.0;
-}
-
-
-static int test_norm_function( normal_func func, int mtype, long *cycles )
-{
- GLvector4f source[1], dest[1], dest2[1], ref[1], ref2[1];
- GLmatrix mat[1];
- GLfloat s[TEST_COUNT][5], d[TEST_COUNT][4], r[TEST_COUNT][4];
- GLfloat d2[TEST_COUNT][4], r2[TEST_COUNT][4], length[TEST_COUNT];
- GLfloat scale;
- GLfloat *m;
- int i, j;
-#ifdef RUN_DEBUG_BENCHMARK
- int cycle_i; /* the counter for the benchmarks we run */
-#endif
-
- (void) cycles;
-
- mat->m = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 );
- mat->inv = m = mat->m;
-
- init_matrix( m );
-
- scale = 1.0F + rnd () * norm_scale_types[mtype];
-
- for ( i = 0 ; i < 4 ; i++ ) {
- for ( j = 0 ; j < 4 ; j++ ) {
- switch ( norm_templates[mtype][i * 4 + j] ) {
- case NIL:
- m[j * 4 + i] = 0.0;
- break;
- case ONE:
- m[j * 4 + i] = 1.0;
- break;
- case NEG:
- m[j * 4 + i] = -1.0;
- break;
- case VAR:
- break;
- default:
- exit(1);
- }
- }
- }
-
- for ( i = 0 ; i < TEST_COUNT ; i++ ) {
- ASSIGN_3V( d[i], 0.0, 0.0, 0.0 );
- ASSIGN_3V( s[i], 0.0, 0.0, 0.0 );
- ASSIGN_3V( d2[i], 0.0, 0.0, 0.0 );
- for ( j = 0 ; j < 3 ; j++ )
- s[i][j] = rnd();
- length[i] = 1 / SQRTF( LEN_SQUARED_3FV( s[i] ) );
- }
-
- source->data = (GLfloat(*)[4]) s;
- source->start = (GLfloat *) s;
- source->count = TEST_COUNT;
- source->stride = sizeof(s[0]);
- source->flags = 0;
-
- dest->data = d;
- dest->start = (GLfloat *) d;
- dest->count = TEST_COUNT;
- dest->stride = sizeof(float[4]);
- dest->flags = 0;
-
- dest2->data = d2;
- dest2->start = (GLfloat *) d2;
- dest2->count = TEST_COUNT;
- dest2->stride = sizeof(float[4]);
- dest2->flags = 0;
-
- ref->data = r;
- ref->start = (GLfloat *) r;
- ref->count = TEST_COUNT;
- ref->stride = sizeof(float[4]);
- ref->flags = 0;
-
- ref2->data = r2;
- ref2->start = (GLfloat *) r2;
- ref2->count = TEST_COUNT;
- ref2->stride = sizeof(float[4]);
- ref2->flags = 0;
-
- if ( norm_normalize_types[mtype] == 0 ) {
- ref_norm_transform_rescale( mat, scale, source, NULL, ref );
- } else {
- ref_norm_transform_normalize( mat, scale, source, NULL, ref );
- ref_norm_transform_normalize( mat, scale, source, length, ref2 );
- }
-
- if ( mesa_profile ) {
- BEGIN_RACE( *cycles );
- func( mat, scale, source, NULL, dest );
- END_RACE( *cycles );
- func( mat, scale, source, length, dest2 );
- } else {
- func( mat, scale, source, NULL, dest );
- func( mat, scale, source, length, dest2 );
- }
-
- for ( i = 0 ; i < TEST_COUNT ; i++ ) {
- for ( j = 0 ; j < 3 ; j++ ) {
- if ( significand_match( d[i][j], r[i][j] ) < REQUIRED_PRECISION ) {
- printf( "-----------------------------\n" );
- printf( "(i = %i, j = %i)\n", i, j );
- printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
- d[i][0], r[i][0], r[i][0]/d[i][0],
- MAX_PRECISION - significand_match( d[i][0], r[i][0] ) );
- printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
- d[i][1], r[i][1], r[i][1]/d[i][1],
- MAX_PRECISION - significand_match( d[i][1], r[i][1] ) );
- printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
- d[i][2], r[i][2], r[i][2]/d[i][2],
- MAX_PRECISION - significand_match( d[i][2], r[i][2] ) );
- return 0;
- }
-
- if ( norm_normalize_types[mtype] != 0 ) {
- if ( significand_match( d2[i][j], r2[i][j] ) < REQUIRED_PRECISION ) {
- printf( "------------------- precalculated length case ------\n" );
- printf( "(i = %i, j = %i)\n", i, j );
- printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
- d2[i][0], r2[i][0], r2[i][0]/d2[i][0],
- MAX_PRECISION - significand_match( d2[i][0], r2[i][0] ) );
- printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
- d2[i][1], r2[i][1], r2[i][1]/d2[i][1],
- MAX_PRECISION - significand_match( d2[i][1], r2[i][1] ) );
- printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
- d2[i][2], r2[i][2], r2[i][2]/d2[i][2],
- MAX_PRECISION - significand_match( d2[i][2], r2[i][2] ) );
- return 0;
- }
- }
- }
- }
-
- _mesa_align_free( mat->m );
- return 1;
-}
-
-void _math_test_all_normal_transform_functions( char *description )
-{
- int mtype;
- long benchmark_tab[0xf];
- static int first_time = 1;
-
- if ( first_time ) {
- first_time = 0;
- mesa_profile = _mesa_getenv( "MESA_PROFILE" );
- }
-
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile ) {
- if ( !counter_overhead ) {
- INIT_COUNTER();
- printf( "counter overhead: %ld cycles\n\n", counter_overhead );
- }
- printf( "normal transform results after hooking in %s functions:\n",
- description );
- printf( "\n-------------------------------------------------------\n" );
- }
-#endif
-
- for ( mtype = 0 ; mtype < 8 ; mtype++ ) {
- normal_func func = _mesa_normal_tab[norm_types[mtype]];
- long *cycles = &benchmark_tab[mtype];
-
- if ( test_norm_function( func, mtype, cycles ) == 0 ) {
- char buf[100];
- sprintf( buf, "_mesa_normal_tab[0][%s] failed test (%s)",
- norm_strings[mtype], description );
- _mesa_problem( NULL, buf );
- }
-
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile ) {
- printf( " %li\t", benchmark_tab[mtype] );
- printf( " | [%s]\n", norm_strings[mtype] );
- }
-#endif
- }
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile ) {
- printf( "\n" );
- }
-#endif
-}
-
-
-#endif /* DEBUG_MATH */
+
+/*
+ * Mesa 3-D graphics library
+ * Version: 5.1
+ *
+ * Copyright (C) 1999-2003 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.
+ *
+ * Authors:
+ * Gareth Hughes
+ */
+
+#include "main/glheader.h"
+#include "main/context.h"
+#include "main/macros.h"
+#include "main/imports.h"
+
+#include "m_matrix.h"
+#include "m_xform.h"
+
+#include "m_debug.h"
+#include "m_debug_util.h"
+
+
+#ifdef __UNIXOS2__
+/* The linker doesn't like empty files */
+static char dummy;
+#endif
+
+#ifdef DEBUG_MATH /* This code only used for debugging */
+
+
+static int m_norm_identity[16] = {
+ ONE, NIL, NIL, NIL,
+ NIL, ONE, NIL, NIL,
+ NIL, NIL, ONE, NIL,
+ NIL, NIL, NIL, NIL
+};
+static int m_norm_general[16] = {
+ VAR, VAR, VAR, NIL,
+ VAR, VAR, VAR, NIL,
+ VAR, VAR, VAR, NIL,
+ NIL, NIL, NIL, NIL
+};
+static int m_norm_no_rot[16] = {
+ VAR, NIL, NIL, NIL,
+ NIL, VAR, NIL, NIL,
+ NIL, NIL, VAR, NIL,
+ NIL, NIL, NIL, NIL
+};
+static int *norm_templates[8] = {
+ m_norm_no_rot,
+ m_norm_no_rot,
+ m_norm_no_rot,
+ m_norm_general,
+ m_norm_general,
+ m_norm_general,
+ m_norm_identity,
+ m_norm_identity
+};
+static int norm_types[8] = {
+ NORM_TRANSFORM_NO_ROT,
+ NORM_TRANSFORM_NO_ROT | NORM_RESCALE,
+ NORM_TRANSFORM_NO_ROT | NORM_NORMALIZE,
+ NORM_TRANSFORM,
+ NORM_TRANSFORM | NORM_RESCALE,
+ NORM_TRANSFORM | NORM_NORMALIZE,
+ NORM_RESCALE,
+ NORM_NORMALIZE
+};
+static int norm_scale_types[8] = { /* rescale factor */
+ NIL, /* NIL disables rescaling */
+ VAR,
+ NIL,
+ NIL,
+ VAR,
+ NIL,
+ VAR,
+ NIL
+};
+static int norm_normalize_types[8] = { /* normalizing ?? (no = 0) */
+ 0,
+ 0,
+ 1,
+ 0,
+ 0,
+ 1,
+ 0,
+ 1
+};
+static char *norm_strings[8] = {
+ "NORM_TRANSFORM_NO_ROT",
+ "NORM_TRANSFORM_NO_ROT | NORM_RESCALE",
+ "NORM_TRANSFORM_NO_ROT | NORM_NORMALIZE",
+ "NORM_TRANSFORM",
+ "NORM_TRANSFORM | NORM_RESCALE",
+ "NORM_TRANSFORM | NORM_NORMALIZE",
+ "NORM_RESCALE",
+ "NORM_NORMALIZE"
+};
+
+
+/* =============================================================
+ * Reference transformations
+ */
+
+static void ref_norm_transform_rescale( const GLmatrix *mat,
+ GLfloat scale,
+ const GLvector4f *in,
+ const GLfloat *lengths,
+ GLvector4f *dest )
+{
+ GLuint i;
+ const GLfloat *s = in->start;
+ const GLfloat *m = mat->inv;
+ GLfloat (*out)[4] = (GLfloat (*)[4]) dest->start;
+
+ (void) lengths;
+
+ for ( i = 0 ; i < in->count ; i++ ) {
+ GLfloat t[3];
+
+ TRANSFORM_NORMAL( t, s, m );
+ SCALE_SCALAR_3V( out[i], scale, t );
+
+ s = (GLfloat *)((char *)s + in->stride);
+ }
+}
+
+static void ref_norm_transform_normalize( const GLmatrix *mat,
+ GLfloat scale,
+ const GLvector4f *in,
+ const GLfloat *lengths,
+ GLvector4f *dest )
+{
+ GLuint i;
+ const GLfloat *s = in->start;
+ const GLfloat *m = mat->inv;
+ GLfloat (*out)[4] = (GLfloat (*)[4]) dest->start;
+
+ for ( i = 0 ; i < in->count ; i++ ) {
+ GLfloat t[3];
+
+ TRANSFORM_NORMAL( t, s, m );
+
+ if ( !lengths ) {
+ GLfloat len = LEN_SQUARED_3FV( t );
+ if ( len > 1e-20 ) {
+ /* Hmmm, don't know how we could test the precalculated
+ * length case...
+ */
+ scale = 1.0 / SQRTF( len );
+ SCALE_SCALAR_3V( out[i], scale, t );
+ } else {
+ out[i][0] = out[i][1] = out[i][2] = 0;
+ }
+ } else {
+ scale = lengths[i];;
+ SCALE_SCALAR_3V( out[i], scale, t );
+ }
+
+ s = (GLfloat *)((char *)s + in->stride);
+ }
+}
+
+
+/* =============================================================
+ * Normal transformation tests
+ */
+
+static void init_matrix( GLfloat *m )
+{
+ m[0] = 63.0; m[4] = 43.0; m[ 8] = 29.0; m[12] = 43.0;
+ m[1] = 55.0; m[5] = 17.0; m[ 9] = 31.0; m[13] = 7.0;
+ m[2] = 44.0; m[6] = 9.0; m[10] = 7.0; m[14] = 3.0;
+ m[3] = 11.0; m[7] = 23.0; m[11] = 91.0; m[15] = 9.0;
+}
+
+
+static int test_norm_function( normal_func func, int mtype, long *cycles )
+{
+ GLvector4f source[1], dest[1], dest2[1], ref[1], ref2[1];
+ GLmatrix mat[1];
+ GLfloat s[TEST_COUNT][5], d[TEST_COUNT][4], r[TEST_COUNT][4];
+ GLfloat d2[TEST_COUNT][4], r2[TEST_COUNT][4], length[TEST_COUNT];
+ GLfloat scale;
+ GLfloat *m;
+ int i, j;
+#ifdef RUN_DEBUG_BENCHMARK
+ int cycle_i; /* the counter for the benchmarks we run */
+#endif
+
+ (void) cycles;
+
+ mat->m = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 );
+ mat->inv = m = mat->m;
+
+ init_matrix( m );
+
+ scale = 1.0F + rnd () * norm_scale_types[mtype];
+
+ for ( i = 0 ; i < 4 ; i++ ) {
+ for ( j = 0 ; j < 4 ; j++ ) {
+ switch ( norm_templates[mtype][i * 4 + j] ) {
+ case NIL:
+ m[j * 4 + i] = 0.0;
+ break;
+ case ONE:
+ m[j * 4 + i] = 1.0;
+ break;
+ case NEG:
+ m[j * 4 + i] = -1.0;
+ break;
+ case VAR:
+ break;
+ default:
+ exit(1);
+ }
+ }
+ }
+
+ for ( i = 0 ; i < TEST_COUNT ; i++ ) {
+ ASSIGN_3V( d[i], 0.0, 0.0, 0.0 );
+ ASSIGN_3V( s[i], 0.0, 0.0, 0.0 );
+ ASSIGN_3V( d2[i], 0.0, 0.0, 0.0 );
+ for ( j = 0 ; j < 3 ; j++ )
+ s[i][j] = rnd();
+ length[i] = 1 / SQRTF( LEN_SQUARED_3FV( s[i] ) );
+ }
+
+ source->data = (GLfloat(*)[4]) s;
+ source->start = (GLfloat *) s;
+ source->count = TEST_COUNT;
+ source->stride = sizeof(s[0]);
+ source->flags = 0;
+
+ dest->data = d;
+ dest->start = (GLfloat *) d;
+ dest->count = TEST_COUNT;
+ dest->stride = sizeof(float[4]);
+ dest->flags = 0;
+
+ dest2->data = d2;
+ dest2->start = (GLfloat *) d2;
+ dest2->count = TEST_COUNT;
+ dest2->stride = sizeof(float[4]);
+ dest2->flags = 0;
+
+ ref->data = r;
+ ref->start = (GLfloat *) r;
+ ref->count = TEST_COUNT;
+ ref->stride = sizeof(float[4]);
+ ref->flags = 0;
+
+ ref2->data = r2;
+ ref2->start = (GLfloat *) r2;
+ ref2->count = TEST_COUNT;
+ ref2->stride = sizeof(float[4]);
+ ref2->flags = 0;
+
+ if ( norm_normalize_types[mtype] == 0 ) {
+ ref_norm_transform_rescale( mat, scale, source, NULL, ref );
+ } else {
+ ref_norm_transform_normalize( mat, scale, source, NULL, ref );
+ ref_norm_transform_normalize( mat, scale, source, length, ref2 );
+ }
+
+ if ( mesa_profile ) {
+ BEGIN_RACE( *cycles );
+ func( mat, scale, source, NULL, dest );
+ END_RACE( *cycles );
+ func( mat, scale, source, length, dest2 );
+ } else {
+ func( mat, scale, source, NULL, dest );
+ func( mat, scale, source, length, dest2 );
+ }
+
+ for ( i = 0 ; i < TEST_COUNT ; i++ ) {
+ for ( j = 0 ; j < 3 ; j++ ) {
+ if ( significand_match( d[i][j], r[i][j] ) < REQUIRED_PRECISION ) {
+ printf( "-----------------------------\n" );
+ printf( "(i = %i, j = %i)\n", i, j );
+ printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
+ d[i][0], r[i][0], r[i][0]/d[i][0],
+ MAX_PRECISION - significand_match( d[i][0], r[i][0] ) );
+ printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
+ d[i][1], r[i][1], r[i][1]/d[i][1],
+ MAX_PRECISION - significand_match( d[i][1], r[i][1] ) );
+ printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
+ d[i][2], r[i][2], r[i][2]/d[i][2],
+ MAX_PRECISION - significand_match( d[i][2], r[i][2] ) );
+ return 0;
+ }
+
+ if ( norm_normalize_types[mtype] != 0 ) {
+ if ( significand_match( d2[i][j], r2[i][j] ) < REQUIRED_PRECISION ) {
+ printf( "------------------- precalculated length case ------\n" );
+ printf( "(i = %i, j = %i)\n", i, j );
+ printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
+ d2[i][0], r2[i][0], r2[i][0]/d2[i][0],
+ MAX_PRECISION - significand_match( d2[i][0], r2[i][0] ) );
+ printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
+ d2[i][1], r2[i][1], r2[i][1]/d2[i][1],
+ MAX_PRECISION - significand_match( d2[i][1], r2[i][1] ) );
+ printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
+ d2[i][2], r2[i][2], r2[i][2]/d2[i][2],
+ MAX_PRECISION - significand_match( d2[i][2], r2[i][2] ) );
+ return 0;
+ }
+ }
+ }
+ }
+
+ _mesa_align_free( mat->m );
+ return 1;
+}
+
+void _math_test_all_normal_transform_functions( char *description )
+{
+ int mtype;
+ long benchmark_tab[0xf];
+ static int first_time = 1;
+
+ if ( first_time ) {
+ first_time = 0;
+ mesa_profile = _mesa_getenv( "MESA_PROFILE" );
+ }
+
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile ) {
+ if ( !counter_overhead ) {
+ INIT_COUNTER();
+ printf( "counter overhead: %ld cycles\n\n", counter_overhead );
+ }
+ printf( "normal transform results after hooking in %s functions:\n",
+ description );
+ printf( "\n-------------------------------------------------------\n" );
+ }
+#endif
+
+ for ( mtype = 0 ; mtype < 8 ; mtype++ ) {
+ normal_func func = _mesa_normal_tab[norm_types[mtype]];
+ long *cycles = &benchmark_tab[mtype];
+
+ if ( test_norm_function( func, mtype, cycles ) == 0 ) {
+ char buf[100];
+ sprintf( buf, "_mesa_normal_tab[0][%s] failed test (%s)",
+ norm_strings[mtype], description );
+ _mesa_problem( NULL, "%s", buf );
+ }
+
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile ) {
+ printf( " %li\t", benchmark_tab[mtype] );
+ printf( " | [%s]\n", norm_strings[mtype] );
+ }
+#endif
+ }
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile ) {
+ printf( "\n" );
+ }
+#endif
+}
+
+
+#endif /* DEBUG_MATH */
diff --git a/mesalib/src/mesa/math/m_debug_xform.c b/mesalib/src/mesa/math/m_debug_xform.c
index 46bd45451..0de43195c 100644
--- a/mesalib/src/mesa/math/m_debug_xform.c
+++ b/mesalib/src/mesa/math/m_debug_xform.c
@@ -1,339 +1,339 @@
-/*
- * Mesa 3-D graphics library
- * Version: 6.1
- *
- * Copyright (C) 1999-2004 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.
- */
-
-/*
- * Updated for P6 architecture by Gareth Hughes.
- */
-
-#include "main/glheader.h"
-#include "main/context.h"
-#include "main/macros.h"
-#include "main/imports.h"
-
-#include "m_matrix.h"
-#include "m_xform.h"
-
-#include "m_debug.h"
-#include "m_debug_util.h"
-
-#ifdef __UNIXOS2__
-/* The linker doesn't like empty files */
-static char dummy;
-#endif
-
-#ifdef DEBUG_MATH /* This code only used for debugging */
-
-
-/* Overhead of profiling counter in cycles. Automatically adjusted to
- * your machine at run time - counter initialization should give very
- * consistent results.
- */
-long counter_overhead = 0;
-
-/* This is the value of the environment variable MESA_PROFILE, and is
- * used to determine if we should benchmark the functions as well as
- * verify their correctness.
- */
-char *mesa_profile = NULL;
-
-
-static int m_general[16] = {
- VAR, VAR, VAR, VAR,
- VAR, VAR, VAR, VAR,
- VAR, VAR, VAR, VAR,
- VAR, VAR, VAR, VAR
-};
-static int m_identity[16] = {
- ONE, NIL, NIL, NIL,
- NIL, ONE, NIL, NIL,
- NIL, NIL, ONE, NIL,
- NIL, NIL, NIL, ONE
-};
-static int m_2d[16] = {
- VAR, VAR, NIL, VAR,
- VAR, VAR, NIL, VAR,
- NIL, NIL, ONE, NIL,
- NIL, NIL, NIL, ONE
-};
-static int m_2d_no_rot[16] = {
- VAR, NIL, NIL, VAR,
- NIL, VAR, NIL, VAR,
- NIL, NIL, ONE, NIL,
- NIL, NIL, NIL, ONE
-};
-static int m_3d[16] = {
- VAR, VAR, VAR, VAR,
- VAR, VAR, VAR, VAR,
- VAR, VAR, VAR, VAR,
- NIL, NIL, NIL, ONE
-};
-static int m_3d_no_rot[16] = {
- VAR, NIL, NIL, VAR,
- NIL, VAR, NIL, VAR,
- NIL, NIL, VAR, VAR,
- NIL, NIL, NIL, ONE
-};
-static int m_perspective[16] = {
- VAR, NIL, VAR, NIL,
- NIL, VAR, VAR, NIL,
- NIL, NIL, VAR, VAR,
- NIL, NIL, NEG, NIL
-};
-static int *templates[7] = {
- m_general,
- m_identity,
- m_3d_no_rot,
- m_perspective,
- m_2d,
- m_2d_no_rot,
- m_3d
-};
-static enum GLmatrixtype mtypes[7] = {
- MATRIX_GENERAL,
- MATRIX_IDENTITY,
- MATRIX_3D_NO_ROT,
- MATRIX_PERSPECTIVE,
- MATRIX_2D,
- MATRIX_2D_NO_ROT,
- MATRIX_3D
-};
-static char *mstrings[7] = {
- "MATRIX_GENERAL",
- "MATRIX_IDENTITY",
- "MATRIX_3D_NO_ROT",
- "MATRIX_PERSPECTIVE",
- "MATRIX_2D",
- "MATRIX_2D_NO_ROT",
- "MATRIX_3D"
-};
-
-
-/* =============================================================
- * Reference transformations
- */
-
-static void ref_transform( GLvector4f *dst,
- const GLmatrix *mat,
- const GLvector4f *src )
-{
- GLuint i;
- GLfloat *s = (GLfloat *)src->start;
- GLfloat (*d)[4] = (GLfloat (*)[4])dst->start;
- const GLfloat *m = mat->m;
-
- for ( i = 0 ; i < src->count ; i++ ) {
- TRANSFORM_POINT( d[i], m, s );
- s = (GLfloat *)((char *)s + src->stride);
- }
-}
-
-
-/* =============================================================
- * Vertex transformation tests
- */
-
-static void init_matrix( GLfloat *m )
-{
- m[0] = 63.0; m[4] = 43.0; m[ 8] = 29.0; m[12] = 43.0;
- m[1] = 55.0; m[5] = 17.0; m[ 9] = 31.0; m[13] = 7.0;
- m[2] = 44.0; m[6] = 9.0; m[10] = 7.0; m[14] = 3.0;
- m[3] = 11.0; m[7] = 23.0; m[11] = 91.0; m[15] = 9.0;
-}
-
-ALIGN16(static GLfloat, s[TEST_COUNT][4]);
-ALIGN16(static GLfloat, d[TEST_COUNT][4]);
-ALIGN16(static GLfloat, r[TEST_COUNT][4]);
-
-static int test_transform_function( transform_func func, int psize,
- int mtype, unsigned long *cycles )
-{
- GLvector4f source[1], dest[1], ref[1];
- GLmatrix mat[1];
- GLfloat *m;
- int i, j;
-#ifdef RUN_DEBUG_BENCHMARK
- int cycle_i; /* the counter for the benchmarks we run */
-#endif
-
- (void) cycles;
-
- if ( psize > 4 ) {
- _mesa_problem( NULL, "test_transform_function called with psize > 4\n" );
- return 0;
- }
-
- mat->m = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 );
- mat->type = mtypes[mtype];
-
- m = mat->m;
- ASSERT( ((long)m & 15) == 0 );
-
- init_matrix( m );
-
- for ( i = 0 ; i < 4 ; i++ ) {
- for ( j = 0 ; j < 4 ; j++ ) {
- switch ( templates[mtype][i * 4 + j] ) {
- case NIL:
- m[j * 4 + i] = 0.0;
- break;
- case ONE:
- m[j * 4 + i] = 1.0;
- break;
- case NEG:
- m[j * 4 + i] = -1.0;
- break;
- case VAR:
- break;
- default:
- ASSERT(0);
- return 0;
- }
- }
- }
-
- for ( i = 0 ; i < TEST_COUNT ; i++) {
- ASSIGN_4V( d[i], 0.0, 0.0, 0.0, 1.0 );
- ASSIGN_4V( s[i], 0.0, 0.0, 0.0, 1.0 );
- for ( j = 0 ; j < psize ; j++ )
- s[i][j] = rnd();
- }
-
- source->data = (GLfloat(*)[4])s;
- source->start = (GLfloat *)s;
- source->count = TEST_COUNT;
- source->stride = sizeof(s[0]);
- source->size = 4;
- source->flags = 0;
-
- dest->data = (GLfloat(*)[4])d;
- dest->start = (GLfloat *)d;
- dest->count = TEST_COUNT;
- dest->stride = sizeof(float[4]);
- dest->size = 0;
- dest->flags = 0;
-
- ref->data = (GLfloat(*)[4])r;
- ref->start = (GLfloat *)r;
- ref->count = TEST_COUNT;
- ref->stride = sizeof(float[4]);
- ref->size = 0;
- ref->flags = 0;
-
- ref_transform( ref, mat, source );
-
- if ( mesa_profile ) {
- BEGIN_RACE( *cycles );
- func( dest, mat->m, source );
- END_RACE( *cycles );
- }
- else {
- func( dest, mat->m, source );
- }
-
- for ( i = 0 ; i < TEST_COUNT ; i++ ) {
- for ( j = 0 ; j < 4 ; j++ ) {
- if ( significand_match( d[i][j], r[i][j] ) < REQUIRED_PRECISION ) {
- printf("-----------------------------\n" );
- printf("(i = %i, j = %i)\n", i, j );
- printf("%f \t %f \t [diff = %e - %i bit missed]\n",
- d[i][0], r[i][0], r[i][0]-d[i][0],
- MAX_PRECISION - significand_match( d[i][0], r[i][0] ) );
- printf("%f \t %f \t [diff = %e - %i bit missed]\n",
- d[i][1], r[i][1], r[i][1]-d[i][1],
- MAX_PRECISION - significand_match( d[i][1], r[i][1] ) );
- printf("%f \t %f \t [diff = %e - %i bit missed]\n",
- d[i][2], r[i][2], r[i][2]-d[i][2],
- MAX_PRECISION - significand_match( d[i][2], r[i][2] ) );
- printf("%f \t %f \t [diff = %e - %i bit missed]\n",
- d[i][3], r[i][3], r[i][3]-d[i][3],
- MAX_PRECISION - significand_match( d[i][3], r[i][3] ) );
- return 0;
- }
- }
- }
-
- _mesa_align_free( mat->m );
- return 1;
-}
-
-void _math_test_all_transform_functions( char *description )
-{
- int psize, mtype;
- unsigned long benchmark_tab[4][7];
- static int first_time = 1;
-
- if ( first_time ) {
- first_time = 0;
- mesa_profile = _mesa_getenv( "MESA_PROFILE" );
- }
-
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile ) {
- if ( !counter_overhead ) {
- INIT_COUNTER();
- printf("counter overhead: %lu cycles\n\n", counter_overhead );
- }
- printf("transform results after hooking in %s functions:\n", description );
- }
-#endif
-
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile ) {
- printf("\n" );
- for ( psize = 1 ; psize <= 4 ; psize++ ) {
- printf(" p%d\t", psize );
- }
- printf("\n--------------------------------------------------------\n" );
- }
-#endif
-
- for ( mtype = 0 ; mtype < 7 ; mtype++ ) {
- for ( psize = 1 ; psize <= 4 ; psize++ ) {
- transform_func func = _mesa_transform_tab[psize][mtypes[mtype]];
- unsigned long *cycles = &(benchmark_tab[psize-1][mtype]);
-
- if ( test_transform_function( func, psize, mtype, cycles ) == 0 ) {
- char buf[100];
- sprintf(buf, "_mesa_transform_tab[0][%d][%s] failed test (%s)",
- psize, mstrings[mtype], description );
- _mesa_problem( NULL, buf );
- }
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile )
- printf(" %li\t", benchmark_tab[psize-1][mtype] );
-#endif
- }
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile )
- printf(" | [%s]\n", mstrings[mtype] );
-#endif
- }
-#ifdef RUN_DEBUG_BENCHMARK
- if ( mesa_profile )
- printf( "\n" );
-#endif
-}
-
-
-#endif /* DEBUG_MATH */
+/*
+ * Mesa 3-D graphics library
+ * Version: 6.1
+ *
+ * Copyright (C) 1999-2004 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.
+ */
+
+/*
+ * Updated for P6 architecture by Gareth Hughes.
+ */
+
+#include "main/glheader.h"
+#include "main/context.h"
+#include "main/macros.h"
+#include "main/imports.h"
+
+#include "m_matrix.h"
+#include "m_xform.h"
+
+#include "m_debug.h"
+#include "m_debug_util.h"
+
+#ifdef __UNIXOS2__
+/* The linker doesn't like empty files */
+static char dummy;
+#endif
+
+#ifdef DEBUG_MATH /* This code only used for debugging */
+
+
+/* Overhead of profiling counter in cycles. Automatically adjusted to
+ * your machine at run time - counter initialization should give very
+ * consistent results.
+ */
+long counter_overhead = 0;
+
+/* This is the value of the environment variable MESA_PROFILE, and is
+ * used to determine if we should benchmark the functions as well as
+ * verify their correctness.
+ */
+char *mesa_profile = NULL;
+
+
+static int m_general[16] = {
+ VAR, VAR, VAR, VAR,
+ VAR, VAR, VAR, VAR,
+ VAR, VAR, VAR, VAR,
+ VAR, VAR, VAR, VAR
+};
+static int m_identity[16] = {
+ ONE, NIL, NIL, NIL,
+ NIL, ONE, NIL, NIL,
+ NIL, NIL, ONE, NIL,
+ NIL, NIL, NIL, ONE
+};
+static int m_2d[16] = {
+ VAR, VAR, NIL, VAR,
+ VAR, VAR, NIL, VAR,
+ NIL, NIL, ONE, NIL,
+ NIL, NIL, NIL, ONE
+};
+static int m_2d_no_rot[16] = {
+ VAR, NIL, NIL, VAR,
+ NIL, VAR, NIL, VAR,
+ NIL, NIL, ONE, NIL,
+ NIL, NIL, NIL, ONE
+};
+static int m_3d[16] = {
+ VAR, VAR, VAR, VAR,
+ VAR, VAR, VAR, VAR,
+ VAR, VAR, VAR, VAR,
+ NIL, NIL, NIL, ONE
+};
+static int m_3d_no_rot[16] = {
+ VAR, NIL, NIL, VAR,
+ NIL, VAR, NIL, VAR,
+ NIL, NIL, VAR, VAR,
+ NIL, NIL, NIL, ONE
+};
+static int m_perspective[16] = {
+ VAR, NIL, VAR, NIL,
+ NIL, VAR, VAR, NIL,
+ NIL, NIL, VAR, VAR,
+ NIL, NIL, NEG, NIL
+};
+static int *templates[7] = {
+ m_general,
+ m_identity,
+ m_3d_no_rot,
+ m_perspective,
+ m_2d,
+ m_2d_no_rot,
+ m_3d
+};
+static enum GLmatrixtype mtypes[7] = {
+ MATRIX_GENERAL,
+ MATRIX_IDENTITY,
+ MATRIX_3D_NO_ROT,
+ MATRIX_PERSPECTIVE,
+ MATRIX_2D,
+ MATRIX_2D_NO_ROT,
+ MATRIX_3D
+};
+static char *mstrings[7] = {
+ "MATRIX_GENERAL",
+ "MATRIX_IDENTITY",
+ "MATRIX_3D_NO_ROT",
+ "MATRIX_PERSPECTIVE",
+ "MATRIX_2D",
+ "MATRIX_2D_NO_ROT",
+ "MATRIX_3D"
+};
+
+
+/* =============================================================
+ * Reference transformations
+ */
+
+static void ref_transform( GLvector4f *dst,
+ const GLmatrix *mat,
+ const GLvector4f *src )
+{
+ GLuint i;
+ GLfloat *s = (GLfloat *)src->start;
+ GLfloat (*d)[4] = (GLfloat (*)[4])dst->start;
+ const GLfloat *m = mat->m;
+
+ for ( i = 0 ; i < src->count ; i++ ) {
+ TRANSFORM_POINT( d[i], m, s );
+ s = (GLfloat *)((char *)s + src->stride);
+ }
+}
+
+
+/* =============================================================
+ * Vertex transformation tests
+ */
+
+static void init_matrix( GLfloat *m )
+{
+ m[0] = 63.0; m[4] = 43.0; m[ 8] = 29.0; m[12] = 43.0;
+ m[1] = 55.0; m[5] = 17.0; m[ 9] = 31.0; m[13] = 7.0;
+ m[2] = 44.0; m[6] = 9.0; m[10] = 7.0; m[14] = 3.0;
+ m[3] = 11.0; m[7] = 23.0; m[11] = 91.0; m[15] = 9.0;
+}
+
+ALIGN16(static GLfloat, s[TEST_COUNT][4]);
+ALIGN16(static GLfloat, d[TEST_COUNT][4]);
+ALIGN16(static GLfloat, r[TEST_COUNT][4]);
+
+static int test_transform_function( transform_func func, int psize,
+ int mtype, unsigned long *cycles )
+{
+ GLvector4f source[1], dest[1], ref[1];
+ GLmatrix mat[1];
+ GLfloat *m;
+ int i, j;
+#ifdef RUN_DEBUG_BENCHMARK
+ int cycle_i; /* the counter for the benchmarks we run */
+#endif
+
+ (void) cycles;
+
+ if ( psize > 4 ) {
+ _mesa_problem( NULL, "test_transform_function called with psize > 4\n" );
+ return 0;
+ }
+
+ mat->m = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 );
+ mat->type = mtypes[mtype];
+
+ m = mat->m;
+ ASSERT( ((long)m & 15) == 0 );
+
+ init_matrix( m );
+
+ for ( i = 0 ; i < 4 ; i++ ) {
+ for ( j = 0 ; j < 4 ; j++ ) {
+ switch ( templates[mtype][i * 4 + j] ) {
+ case NIL:
+ m[j * 4 + i] = 0.0;
+ break;
+ case ONE:
+ m[j * 4 + i] = 1.0;
+ break;
+ case NEG:
+ m[j * 4 + i] = -1.0;
+ break;
+ case VAR:
+ break;
+ default:
+ ASSERT(0);
+ return 0;
+ }
+ }
+ }
+
+ for ( i = 0 ; i < TEST_COUNT ; i++) {
+ ASSIGN_4V( d[i], 0.0, 0.0, 0.0, 1.0 );
+ ASSIGN_4V( s[i], 0.0, 0.0, 0.0, 1.0 );
+ for ( j = 0 ; j < psize ; j++ )
+ s[i][j] = rnd();
+ }
+
+ source->data = (GLfloat(*)[4])s;
+ source->start = (GLfloat *)s;
+ source->count = TEST_COUNT;
+ source->stride = sizeof(s[0]);
+ source->size = 4;
+ source->flags = 0;
+
+ dest->data = (GLfloat(*)[4])d;
+ dest->start = (GLfloat *)d;
+ dest->count = TEST_COUNT;
+ dest->stride = sizeof(float[4]);
+ dest->size = 0;
+ dest->flags = 0;
+
+ ref->data = (GLfloat(*)[4])r;
+ ref->start = (GLfloat *)r;
+ ref->count = TEST_COUNT;
+ ref->stride = sizeof(float[4]);
+ ref->size = 0;
+ ref->flags = 0;
+
+ ref_transform( ref, mat, source );
+
+ if ( mesa_profile ) {
+ BEGIN_RACE( *cycles );
+ func( dest, mat->m, source );
+ END_RACE( *cycles );
+ }
+ else {
+ func( dest, mat->m, source );
+ }
+
+ for ( i = 0 ; i < TEST_COUNT ; i++ ) {
+ for ( j = 0 ; j < 4 ; j++ ) {
+ if ( significand_match( d[i][j], r[i][j] ) < REQUIRED_PRECISION ) {
+ printf("-----------------------------\n" );
+ printf("(i = %i, j = %i)\n", i, j );
+ printf("%f \t %f \t [diff = %e - %i bit missed]\n",
+ d[i][0], r[i][0], r[i][0]-d[i][0],
+ MAX_PRECISION - significand_match( d[i][0], r[i][0] ) );
+ printf("%f \t %f \t [diff = %e - %i bit missed]\n",
+ d[i][1], r[i][1], r[i][1]-d[i][1],
+ MAX_PRECISION - significand_match( d[i][1], r[i][1] ) );
+ printf("%f \t %f \t [diff = %e - %i bit missed]\n",
+ d[i][2], r[i][2], r[i][2]-d[i][2],
+ MAX_PRECISION - significand_match( d[i][2], r[i][2] ) );
+ printf("%f \t %f \t [diff = %e - %i bit missed]\n",
+ d[i][3], r[i][3], r[i][3]-d[i][3],
+ MAX_PRECISION - significand_match( d[i][3], r[i][3] ) );
+ return 0;
+ }
+ }
+ }
+
+ _mesa_align_free( mat->m );
+ return 1;
+}
+
+void _math_test_all_transform_functions( char *description )
+{
+ int psize, mtype;
+ unsigned long benchmark_tab[4][7];
+ static int first_time = 1;
+
+ if ( first_time ) {
+ first_time = 0;
+ mesa_profile = _mesa_getenv( "MESA_PROFILE" );
+ }
+
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile ) {
+ if ( !counter_overhead ) {
+ INIT_COUNTER();
+ printf("counter overhead: %lu cycles\n\n", counter_overhead );
+ }
+ printf("transform results after hooking in %s functions:\n", description );
+ }
+#endif
+
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile ) {
+ printf("\n" );
+ for ( psize = 1 ; psize <= 4 ; psize++ ) {
+ printf(" p%d\t", psize );
+ }
+ printf("\n--------------------------------------------------------\n" );
+ }
+#endif
+
+ for ( mtype = 0 ; mtype < 7 ; mtype++ ) {
+ for ( psize = 1 ; psize <= 4 ; psize++ ) {
+ transform_func func = _mesa_transform_tab[psize][mtypes[mtype]];
+ unsigned long *cycles = &(benchmark_tab[psize-1][mtype]);
+
+ if ( test_transform_function( func, psize, mtype, cycles ) == 0 ) {
+ char buf[100];
+ sprintf(buf, "_mesa_transform_tab[0][%d][%s] failed test (%s)",
+ psize, mstrings[mtype], description );
+ _mesa_problem( NULL, "%s", buf );
+ }
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile )
+ printf(" %li\t", benchmark_tab[psize-1][mtype] );
+#endif
+ }
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile )
+ printf(" | [%s]\n", mstrings[mtype] );
+#endif
+ }
+#ifdef RUN_DEBUG_BENCHMARK
+ if ( mesa_profile )
+ printf( "\n" );
+#endif
+}
+
+
+#endif /* DEBUG_MATH */
diff --git a/mesalib/src/mesa/math/m_matrix.c b/mesalib/src/mesa/math/m_matrix.c
index 048b231c4..83eb787c7 100644
--- a/mesalib/src/mesa/math/m_matrix.c
+++ b/mesalib/src/mesa/math/m_matrix.c
@@ -1,1642 +1,1641 @@
-/*
- * Mesa 3-D graphics library
- * Version: 6.3
- *
- * Copyright (C) 1999-2005 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.
- */
-
-
-/**
- * \file m_matrix.c
- * Matrix operations.
- *
- * \note
- * -# 4x4 transformation matrices are stored in memory in column major order.
- * -# Points/vertices are to be thought of as column vectors.
- * -# Transformation of a point p by a matrix M is: p' = M * p
- */
-
-
-#include "main/glheader.h"
-#include "main/imports.h"
-#include "main/macros.h"
-#include "main/imports.h"
-
-#include "m_matrix.h"
-
-
-/**
- * \defgroup MatFlags MAT_FLAG_XXX-flags
- *
- * Bitmasks to indicate different kinds of 4x4 matrices in GLmatrix::flags
- * It would be nice to make all these flags private to m_matrix.c
- */
-/*@{*/
-#define MAT_FLAG_IDENTITY 0 /**< is an identity matrix flag.
- * (Not actually used - the identity
- * matrix is identified by the absense
- * of all other flags.)
- */
-#define MAT_FLAG_GENERAL 0x1 /**< is a general matrix flag */
-#define MAT_FLAG_ROTATION 0x2 /**< is a rotation matrix flag */
-#define MAT_FLAG_TRANSLATION 0x4 /**< is a translation matrix flag */
-#define MAT_FLAG_UNIFORM_SCALE 0x8 /**< is an uniform scaling matrix flag */
-#define MAT_FLAG_GENERAL_SCALE 0x10 /**< is a general scaling matrix flag */
-#define MAT_FLAG_GENERAL_3D 0x20 /**< general 3D matrix flag */
-#define MAT_FLAG_PERSPECTIVE 0x40 /**< is a perspective proj matrix flag */
-#define MAT_FLAG_SINGULAR 0x80 /**< is a singular matrix flag */
-#define MAT_DIRTY_TYPE 0x100 /**< matrix type is dirty */
-#define MAT_DIRTY_FLAGS 0x200 /**< matrix flags are dirty */
-#define MAT_DIRTY_INVERSE 0x400 /**< matrix inverse is dirty */
-
-/** angle preserving matrix flags mask */
-#define MAT_FLAGS_ANGLE_PRESERVING (MAT_FLAG_ROTATION | \
- MAT_FLAG_TRANSLATION | \
- MAT_FLAG_UNIFORM_SCALE)
-
-/** geometry related matrix flags mask */
-#define MAT_FLAGS_GEOMETRY (MAT_FLAG_GENERAL | \
- MAT_FLAG_ROTATION | \
- MAT_FLAG_TRANSLATION | \
- MAT_FLAG_UNIFORM_SCALE | \
- MAT_FLAG_GENERAL_SCALE | \
- MAT_FLAG_GENERAL_3D | \
- MAT_FLAG_PERSPECTIVE | \
- MAT_FLAG_SINGULAR)
-
-/** length preserving matrix flags mask */
-#define MAT_FLAGS_LENGTH_PRESERVING (MAT_FLAG_ROTATION | \
- MAT_FLAG_TRANSLATION)
-
-
-/** 3D (non-perspective) matrix flags mask */
-#define MAT_FLAGS_3D (MAT_FLAG_ROTATION | \
- MAT_FLAG_TRANSLATION | \
- MAT_FLAG_UNIFORM_SCALE | \
- MAT_FLAG_GENERAL_SCALE | \
- MAT_FLAG_GENERAL_3D)
-
-/** dirty matrix flags mask */
-#define MAT_DIRTY (MAT_DIRTY_TYPE | \
- MAT_DIRTY_FLAGS | \
- MAT_DIRTY_INVERSE)
-
-/*@}*/
-
-
-/**
- * Test geometry related matrix flags.
- *
- * \param mat a pointer to a GLmatrix structure.
- * \param a flags mask.
- *
- * \returns non-zero if all geometry related matrix flags are contained within
- * the mask, or zero otherwise.
- */
-#define TEST_MAT_FLAGS(mat, a) \
- ((MAT_FLAGS_GEOMETRY & (~(a)) & ((mat)->flags) ) == 0)
-
-
-
-/**
- * Names of the corresponding GLmatrixtype values.
- */
-static const char *types[] = {
- "MATRIX_GENERAL",
- "MATRIX_IDENTITY",
- "MATRIX_3D_NO_ROT",
- "MATRIX_PERSPECTIVE",
- "MATRIX_2D",
- "MATRIX_2D_NO_ROT",
- "MATRIX_3D"
-};
-
-
-/**
- * Identity matrix.
- */
-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
-};
-
-
-
-/**********************************************************************/
-/** \name Matrix multiplication */
-/*@{*/
-
-#define A(row,col) a[(col<<2)+row]
-#define B(row,col) b[(col<<2)+row]
-#define P(row,col) product[(col<<2)+row]
-
-/**
- * Perform a full 4x4 matrix multiplication.
- *
- * \param a matrix.
- * \param b matrix.
- * \param product will receive the product of \p a and \p b.
- *
- * \warning Is assumed that \p product != \p b. \p product == \p a is allowed.
- *
- * \note KW: 4*16 = 64 multiplications
- *
- * \author This \c matmul was contributed by Thomas Malik
- */
-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 model matrices, and orthogonal matrices.
- *
- * \param a matrix.
- * \param b matrix.
- * \param product will receive the product of \p a and \p b.
- */
-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;
-}
-
-#undef A
-#undef B
-#undef P
-
-/**
- * Multiply a matrix by an array of floats with known properties.
- *
- * \param mat pointer to a GLmatrix structure containing the left multiplication
- * matrix, and that will receive the product result.
- * \param m right multiplication matrix array.
- * \param flags flags of the matrix \p m.
- *
- * Joins both flags and marks the type and inverse as dirty. Calls matmul34()
- * if both matrices are 3D, or matmul4() otherwise.
- */
-static void matrix_multf( GLmatrix *mat, const GLfloat *m, GLuint flags )
-{
- mat->flags |= (flags | MAT_DIRTY_TYPE | MAT_DIRTY_INVERSE);
-
- if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D))
- matmul34( mat->m, mat->m, m );
- else
- matmul4( mat->m, mat->m, m );
-}
-
-/**
- * Matrix multiplication.
- *
- * \param dest destination matrix.
- * \param a left matrix.
- * \param b right matrix.
- *
- * Joins both flags and marks the type and inverse as dirty. Calls matmul34()
- * if both matrices are 3D, or matmul4() otherwise.
- */
-void
-_math_matrix_mul_matrix( GLmatrix *dest, const GLmatrix *a, const GLmatrix *b )
-{
- dest->flags = (a->flags |
- b->flags |
- MAT_DIRTY_TYPE |
- MAT_DIRTY_INVERSE);
-
- if (TEST_MAT_FLAGS(dest, MAT_FLAGS_3D))
- matmul34( dest->m, a->m, b->m );
- else
- matmul4( dest->m, a->m, b->m );
-}
-
-/**
- * Matrix multiplication.
- *
- * \param dest left and destination matrix.
- * \param m right matrix array.
- *
- * Marks the matrix flags with general flag, and type and inverse dirty flags.
- * Calls matmul4() for the multiplication.
- */
-void
-_math_matrix_mul_floats( GLmatrix *dest, const GLfloat *m )
-{
- dest->flags |= (MAT_FLAG_GENERAL |
- MAT_DIRTY_TYPE |
- MAT_DIRTY_INVERSE |
- MAT_DIRTY_FLAGS);
-
- matmul4( dest->m, dest->m, m );
-}
-
-/*@}*/
-
-
-/**********************************************************************/
-/** \name Matrix output */
-/*@{*/
-
-/**
- * Print a matrix array.
- *
- * \param m matrix array.
- *
- * Called by _math_matrix_print() to print a matrix or its inverse.
- */
-static void print_matrix_floats( const GLfloat m[16] )
-{
- int i;
- for (i=0;i<4;i++) {
- _mesa_debug(NULL,"\t%f %f %f %f\n", m[i], m[4+i], m[8+i], m[12+i] );
- }
-}
-
-/**
- * Dumps the contents of a GLmatrix structure.
- *
- * \param m pointer to the GLmatrix structure.
- */
-void
-_math_matrix_print( const GLmatrix *m )
-{
- _mesa_debug(NULL, "Matrix type: %s, flags: %x\n", types[m->type], m->flags);
- print_matrix_floats(m->m);
- _mesa_debug(NULL, "Inverse: \n");
- if (m->inv) {
- GLfloat prod[16];
- print_matrix_floats(m->inv);
- matmul4(prod, m->m, m->inv);
- _mesa_debug(NULL, "Mat * Inverse:\n");
- print_matrix_floats(prod);
- }
- else {
- _mesa_debug(NULL, " - not available\n");
- }
-}
-
-/*@}*/
-
-
-/**
- * References an element of 4x4 matrix.
- *
- * \param m matrix array.
- * \param c column of the desired element.
- * \param r row of the desired element.
- *
- * \return value of the desired element.
- *
- * Calculate the linear storage index of the element and references it.
- */
-#define MAT(m,r,c) (m)[(c)*4+(r)]
-
-
-/**********************************************************************/
-/** \name Matrix inversion */
-/*@{*/
-
-/**
- * Swaps the values of two floating pointer variables.
- *
- * Used by invert_matrix_general() to swap the row pointers.
- */
-#define SWAP_ROWS(a, b) { GLfloat *_tmp = a; (a)=(b); (b)=_tmp; }
-
-/**
- * Compute inverse of 4x4 transformation matrix.
- *
- * \param mat pointer to a GLmatrix structure. The matrix inverse will be
- * stored in the GLmatrix::inv attribute.
- *
- * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
- *
- * \author
- * Code contributed by Jacques Leroy jle@star.be
- *
- * Calculates the inverse matrix by performing the gaussian matrix reduction
- * with partial pivoting followed by back/substitution with the loops manually
- * unrolled.
- */
-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 (FABSF(r3[0])>FABSF(r2[0])) SWAP_ROWS(r3, r2);
- if (FABSF(r2[0])>FABSF(r1[0])) SWAP_ROWS(r2, r1);
- if (FABSF(r1[0])>FABSF(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 (FABSF(r3[1])>FABSF(r2[1])) SWAP_ROWS(r3, r2);
- if (FABSF(r2[1])>FABSF(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 (FABSF(r3[2])>FABSF(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 = 1.0F/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 = 1.0F/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 = 1.0F/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 = 1.0F/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
-
-/**
- * Compute inverse of a general 3d transformation matrix.
- *
- * \param mat pointer to a GLmatrix structure. The matrix inverse will be
- * stored in the GLmatrix::inv attribute.
- *
- * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
- *
- * \author Adapted from graphics gems II.
- *
- * Calculates the inverse of the upper left by first calculating its
- * determinant and multiplying it to the symmetric adjust matrix of each
- * element. Finally deals with the translation part by transforming the
- * original translation vector using by the calculated submatrix inverse.
- */
-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 = 1.0F / 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;
-}
-
-/**
- * Compute inverse of a 3d transformation matrix.
- *
- * \param mat pointer to a GLmatrix structure. The matrix inverse will be
- * stored in the GLmatrix::inv attribute.
- *
- * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
- *
- * If the matrix is not an angle preserving matrix then calls
- * invert_matrix_3d_general for the actual calculation. Otherwise calculates
- * the inverse matrix analyzing and inverting each of the scaling, rotation and
- * translation parts.
- */
-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 = 1.0F / 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;
-}
-
-/**
- * Compute inverse of an identity transformation matrix.
- *
- * \param mat pointer to a GLmatrix structure. The matrix inverse will be
- * stored in the GLmatrix::inv attribute.
- *
- * \return always GL_TRUE.
- *
- * Simply copies Identity into GLmatrix::inv.
- */
-static GLboolean invert_matrix_identity( GLmatrix *mat )
-{
- memcpy( mat->inv, Identity, sizeof(Identity) );
- return GL_TRUE;
-}
-
-/**
- * Compute inverse of a no-rotation 3d transformation matrix.
- *
- * \param mat pointer to a GLmatrix structure. The matrix inverse will be
- * stored in the GLmatrix::inv attribute.
- *
- * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
- *
- * Calculates the
- */
-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) = 1.0F / MAT(in,0,0);
- MAT(out,1,1) = 1.0F / MAT(in,1,1);
- MAT(out,2,2) = 1.0F / 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;
-}
-
-/**
- * Compute inverse of a no-rotation 2d transformation matrix.
- *
- * \param mat pointer to a GLmatrix structure. The matrix inverse will be
- * stored in the GLmatrix::inv attribute.
- *
- * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
- *
- * Calculates the inverse matrix by applying the inverse scaling and
- * translation to the identity matrix.
- */
-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) = 1.0F / MAT(in,0,0);
- MAT(out,1,1) = 1.0F / 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;
-}
-
-#if 0
-/* broken */
-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) = 1.0F / MAT(in,0,0);
- MAT(out,1,1) = 1.0F / 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) = 1.0F / MAT(in,2,3);
- MAT(out,3,3) = MAT(in,2,2) * MAT(out,3,2);
-
- return GL_TRUE;
-}
-#endif
-
-/**
- * Matrix inversion function pointer type.
- */
-typedef GLboolean (*inv_mat_func)( GLmatrix *mat );
-
-/**
- * Table of the matrix inversion functions according to the matrix type.
- */
-static inv_mat_func inv_mat_tab[7] = {
- invert_matrix_general,
- invert_matrix_identity,
- invert_matrix_3d_no_rot,
-#if 0
- /* Don't use this function for now - it fails when the projection matrix
- * is premultiplied by a translation (ala Chromium's tilesort SPU).
- */
- invert_matrix_perspective,
-#else
- invert_matrix_general,
-#endif
- invert_matrix_3d, /* lazy! */
- invert_matrix_2d_no_rot,
- invert_matrix_3d
-};
-
-/**
- * Compute inverse of a transformation matrix.
- *
- * \param mat pointer to a GLmatrix structure. The matrix inverse will be
- * stored in the GLmatrix::inv attribute.
- *
- * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
- *
- * Calls the matrix inversion function in inv_mat_tab corresponding to the
- * given matrix type. In case of failure, updates the MAT_FLAG_SINGULAR flag,
- * and copies the identity matrix into GLmatrix::inv.
- */
-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;
- }
-}
-
-/*@}*/
-
-
-/**********************************************************************/
-/** \name Matrix generation */
-/*@{*/
-
-/**
- * Generate a 4x4 transformation matrix from glRotate parameters, and
- * post-multiply the input matrix by it.
- *
- * \author
- * This function was contributed by Erich Boleyn (erich@uruk.org).
- * Optimizations contributed by Rudolf Opalla (rudi@khm.de).
- */
-void
-_math_matrix_rotate( GLmatrix *mat,
- GLfloat angle, GLfloat x, GLfloat y, GLfloat z )
-{
- GLfloat xx, yy, zz, xy, yz, zx, xs, ys, zs, one_c, s, c;
- GLfloat m[16];
- GLboolean optimized;
-
- s = (GLfloat) sin( angle * DEG2RAD );
- c = (GLfloat) cos( angle * DEG2RAD );
-
- memcpy(m, Identity, sizeof(GLfloat)*16);
- optimized = GL_FALSE;
-
-#define M(row,col) m[col*4+row]
-
- if (x == 0.0F) {
- if (y == 0.0F) {
- if (z != 0.0F) {
- optimized = GL_TRUE;
- /* rotate only around z-axis */
- M(0,0) = c;
- M(1,1) = c;
- if (z < 0.0F) {
- M(0,1) = s;
- M(1,0) = -s;
- }
- else {
- M(0,1) = -s;
- M(1,0) = s;
- }
- }
- }
- else if (z == 0.0F) {
- optimized = GL_TRUE;
- /* rotate only around y-axis */
- M(0,0) = c;
- M(2,2) = c;
- if (y < 0.0F) {
- M(0,2) = -s;
- M(2,0) = s;
- }
- else {
- M(0,2) = s;
- M(2,0) = -s;
- }
- }
- }
- else if (y == 0.0F) {
- if (z == 0.0F) {
- optimized = GL_TRUE;
- /* rotate only around x-axis */
- M(1,1) = c;
- M(2,2) = c;
- if (x < 0.0F) {
- M(1,2) = s;
- M(2,1) = -s;
- }
- else {
- M(1,2) = -s;
- M(2,1) = s;
- }
- }
- }
-
- if (!optimized) {
- const GLfloat mag = SQRTF(x * x + y * y + z * z);
-
- if (mag <= 1.0e-4) {
- /* no rotation, leave mat as-is */
- return;
- }
-
- x /= mag;
- y /= mag;
- z /= mag;
-
-
- /*
- * 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 its 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;
-
- /* We already hold the identity-matrix so we can skip some statements */
- 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
-
- matrix_multf( mat, m, MAT_FLAG_ROTATION );
-}
-
-/**
- * Apply a perspective projection matrix.
- *
- * \param mat matrix to apply the projection.
- * \param left left clipping plane coordinate.
- * \param right right clipping plane coordinate.
- * \param bottom bottom clipping plane coordinate.
- * \param top top clipping plane coordinate.
- * \param nearval distance to the near clipping plane.
- * \param farval distance to the far clipping plane.
- *
- * Creates the projection matrix and multiplies it with \p mat, marking the
- * MAT_FLAG_PERSPECTIVE flag.
- */
-void
-_math_matrix_frustum( GLmatrix *mat,
- GLfloat left, GLfloat right,
- GLfloat bottom, GLfloat top,
- GLfloat nearval, GLfloat farval )
-{
- GLfloat x, y, a, b, c, d;
- GLfloat m[16];
-
- x = (2.0F*nearval) / (right-left);
- y = (2.0F*nearval) / (top-bottom);
- a = (right+left) / (right-left);
- b = (top+bottom) / (top-bottom);
- c = -(farval+nearval) / ( farval-nearval);
- d = -(2.0F*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
-
- matrix_multf( mat, m, MAT_FLAG_PERSPECTIVE );
-}
-
-/**
- * Apply an orthographic projection matrix.
- *
- * \param mat matrix to apply the projection.
- * \param left left clipping plane coordinate.
- * \param right right clipping plane coordinate.
- * \param bottom bottom clipping plane coordinate.
- * \param top top clipping plane coordinate.
- * \param nearval distance to the near clipping plane.
- * \param farval distance to the far clipping plane.
- *
- * Creates the projection matrix and multiplies it with \p mat, marking the
- * MAT_FLAG_GENERAL_SCALE and MAT_FLAG_TRANSLATION flags.
- */
-void
-_math_matrix_ortho( GLmatrix *mat,
- GLfloat left, GLfloat right,
- GLfloat bottom, GLfloat top,
- GLfloat nearval, GLfloat farval )
-{
- GLfloat m[16];
-
-#define M(row,col) m[col*4+row]
- M(0,0) = 2.0F / (right-left);
- M(0,1) = 0.0F;
- M(0,2) = 0.0F;
- M(0,3) = -(right+left) / (right-left);
-
- M(1,0) = 0.0F;
- M(1,1) = 2.0F / (top-bottom);
- M(1,2) = 0.0F;
- M(1,3) = -(top+bottom) / (top-bottom);
-
- M(2,0) = 0.0F;
- M(2,1) = 0.0F;
- M(2,2) = -2.0F / (farval-nearval);
- M(2,3) = -(farval+nearval) / (farval-nearval);
-
- M(3,0) = 0.0F;
- M(3,1) = 0.0F;
- M(3,2) = 0.0F;
- M(3,3) = 1.0F;
-#undef M
-
- matrix_multf( mat, m, (MAT_FLAG_GENERAL_SCALE|MAT_FLAG_TRANSLATION));
-}
-
-/**
- * Multiply a matrix with a general scaling matrix.
- *
- * \param mat matrix.
- * \param x x axis scale factor.
- * \param y y axis scale factor.
- * \param z z axis scale factor.
- *
- * Multiplies in-place the elements of \p mat by the scale factors. Checks if
- * the scales factors are roughly the same, marking the MAT_FLAG_UNIFORM_SCALE
- * flag, or MAT_FLAG_GENERAL_SCALE. Marks the MAT_DIRTY_TYPE and
- * MAT_DIRTY_INVERSE dirty flags.
- */
-void
-_math_matrix_scale( GLmatrix *mat, GLfloat x, GLfloat y, GLfloat z )
-{
- GLfloat *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 (FABSF(x - y) < 1e-8 && FABSF(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);
-}
-
-/**
- * Multiply a matrix with a translation matrix.
- *
- * \param mat matrix.
- * \param x translation vector x coordinate.
- * \param y translation vector y coordinate.
- * \param z translation vector z coordinate.
- *
- * Adds the translation coordinates to the elements of \p mat in-place. Marks
- * the MAT_FLAG_TRANSLATION flag, and the MAT_DIRTY_TYPE and MAT_DIRTY_INVERSE
- * dirty flags.
- */
-void
-_math_matrix_translate( GLmatrix *mat, GLfloat x, GLfloat y, GLfloat z )
-{
- GLfloat *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);
-}
-
-
-/**
- * Set matrix to do viewport and depthrange mapping.
- * Transforms Normalized Device Coords to window/Z values.
- */
-void
-_math_matrix_viewport(GLmatrix *m, GLint x, GLint y, GLint width, GLint height,
- GLfloat zNear, GLfloat zFar, GLfloat depthMax)
-{
- m->m[MAT_SX] = (GLfloat) width / 2.0F;
- m->m[MAT_TX] = m->m[MAT_SX] + x;
- m->m[MAT_SY] = (GLfloat) height / 2.0F;
- m->m[MAT_TY] = m->m[MAT_SY] + y;
- m->m[MAT_SZ] = depthMax * ((zFar - zNear) / 2.0F);
- m->m[MAT_TZ] = depthMax * ((zFar - zNear) / 2.0F + zNear);
- m->flags = MAT_FLAG_GENERAL_SCALE | MAT_FLAG_TRANSLATION;
- m->type = MATRIX_3D_NO_ROT;
-}
-
-
-/**
- * Set a matrix to the identity matrix.
- *
- * \param mat matrix.
- *
- * Copies ::Identity into \p GLmatrix::m, and into GLmatrix::inv if not NULL.
- * Sets the matrix type to identity, and clear the dirty flags.
- */
-void
-_math_matrix_set_identity( GLmatrix *mat )
-{
- memcpy( mat->m, Identity, 16*sizeof(GLfloat) );
-
- if (mat->inv)
- memcpy( mat->inv, Identity, 16*sizeof(GLfloat) );
-
- mat->type = MATRIX_IDENTITY;
- mat->flags &= ~(MAT_DIRTY_FLAGS|
- MAT_DIRTY_TYPE|
- MAT_DIRTY_INVERSE);
-}
-
-/*@}*/
-
-
-/**********************************************************************/
-/** \name Matrix analysis */
-/*@{*/
-
-#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.
- *
- * \param mat matrix.
- *
- * This is expensive enough to only want to do it once.
- */
-static void analyse_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 == (GLuint) MASK_IDENTITY) {
- mat->type = MATRIX_IDENTITY;
- }
- else if ((mask & MASK_2D_NO_ROT) == (GLuint) 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) == (GLuint) 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) == (GLuint) 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) == (GLuint) 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;
- }
-}
-
-/**
- * Analyze a matrix given that its flags are accurate.
- *
- * This is the more common operation, hopefully.
- */
-static void analyse_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;
- }
-}
-
-/**
- * Analyze and update a matrix.
- *
- * \param mat matrix.
- *
- * If the matrix type is dirty then calls either analyse_from_scratch() or
- * analyse_from_flags() to determine its type, according to whether the flags
- * are dirty or not, respectively. If the matrix has an inverse and it's dirty
- * then calls matrix_invert(). Finally clears the dirty flags.
- */
-void
-_math_matrix_analyse( GLmatrix *mat )
-{
- if (mat->flags & MAT_DIRTY_TYPE) {
- if (mat->flags & MAT_DIRTY_FLAGS)
- analyse_from_scratch( mat );
- else
- analyse_from_flags( mat );
- }
-
- if (mat->inv && (mat->flags & MAT_DIRTY_INVERSE)) {
- matrix_invert( mat );
- mat->flags &= ~MAT_DIRTY_INVERSE;
- }
-
- mat->flags &= ~(MAT_DIRTY_FLAGS | MAT_DIRTY_TYPE);
-}
-
-/*@}*/
-
-
-/**
- * Test if the given matrix preserves vector lengths.
- */
-GLboolean
-_math_matrix_is_length_preserving( const GLmatrix *m )
-{
- return TEST_MAT_FLAGS( m, MAT_FLAGS_LENGTH_PRESERVING);
-}
-
-
-/**
- * Test if the given matrix does any rotation.
- * (or perhaps if the upper-left 3x3 is non-identity)
- */
-GLboolean
-_math_matrix_has_rotation( const GLmatrix *m )
-{
- if (m->flags & (MAT_FLAG_GENERAL |
- MAT_FLAG_ROTATION |
- MAT_FLAG_GENERAL_3D |
- MAT_FLAG_PERSPECTIVE))
- return GL_TRUE;
- else
- return GL_FALSE;
-}
-
-
-GLboolean
-_math_matrix_is_general_scale( const GLmatrix *m )
-{
- return (m->flags & MAT_FLAG_GENERAL_SCALE) ? GL_TRUE : GL_FALSE;
-}
-
-
-GLboolean
-_math_matrix_is_dirty( const GLmatrix *m )
-{
- return (m->flags & MAT_DIRTY) ? GL_TRUE : GL_FALSE;
-}
-
-
-/**********************************************************************/
-/** \name Matrix setup */
-/*@{*/
-
-/**
- * Copy a matrix.
- *
- * \param to destination matrix.
- * \param from source matrix.
- *
- * Copies all fields in GLmatrix, creating an inverse array if necessary.
- */
-void
-_math_matrix_copy( GLmatrix *to, const GLmatrix *from )
-{
- memcpy( to->m, from->m, sizeof(Identity) );
- to->flags = from->flags;
- to->type = from->type;
-
- if (to->inv != 0) {
- if (from->inv == 0) {
- matrix_invert( to );
- }
- else {
- memcpy(to->inv, from->inv, sizeof(GLfloat)*16);
- }
- }
-}
-
-/**
- * Loads a matrix array into GLmatrix.
- *
- * \param m matrix array.
- * \param mat matrix.
- *
- * Copies \p m into GLmatrix::m and marks the MAT_FLAG_GENERAL and MAT_DIRTY
- * flags.
- */
-void
-_math_matrix_loadf( GLmatrix *mat, const GLfloat *m )
-{
- memcpy( mat->m, m, 16*sizeof(GLfloat) );
- mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY);
-}
-
-/**
- * Matrix constructor.
- *
- * \param m matrix.
- *
- * Initialize the GLmatrix fields.
- */
-void
-_math_matrix_ctr( GLmatrix *m )
-{
- m->m = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 );
- if (m->m)
- memcpy( m->m, Identity, sizeof(Identity) );
- m->inv = NULL;
- m->type = MATRIX_IDENTITY;
- m->flags = 0;
-}
-
-/**
- * Matrix destructor.
- *
- * \param m matrix.
- *
- * Frees the data in a GLmatrix.
- */
-void
-_math_matrix_dtr( GLmatrix *m )
-{
- if (m->m) {
- _mesa_align_free( m->m );
- m->m = NULL;
- }
- if (m->inv) {
- _mesa_align_free( m->inv );
- m->inv = NULL;
- }
-}
-
-/**
- * Allocate a matrix inverse.
- *
- * \param m matrix.
- *
- * Allocates the matrix inverse, GLmatrix::inv, and sets it to Identity.
- */
-void
-_math_matrix_alloc_inv( GLmatrix *m )
-{
- if (!m->inv) {
- m->inv = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 );
- if (m->inv)
- memcpy( m->inv, Identity, 16 * sizeof(GLfloat) );
- }
-}
-
-/*@}*/
-
-
-/**********************************************************************/
-/** \name Matrix transpose */
-/*@{*/
-
-/**
- * Transpose a GLfloat matrix.
- *
- * \param to destination array.
- * \param from source array.
- */
-void
-_math_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];
-}
-
-/**
- * Transpose a GLdouble matrix.
- *
- * \param to destination array.
- * \param from source array.
- */
-void
-_math_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];
-}
-
-/**
- * Transpose a GLdouble matrix and convert to GLfloat.
- *
- * \param to destination array.
- * \param from source array.
- */
-void
-_math_transposefd( GLfloat to[16], const GLdouble from[16] )
-{
- to[0] = (GLfloat) from[0];
- to[1] = (GLfloat) from[4];
- to[2] = (GLfloat) from[8];
- to[3] = (GLfloat) from[12];
- to[4] = (GLfloat) from[1];
- to[5] = (GLfloat) from[5];
- to[6] = (GLfloat) from[9];
- to[7] = (GLfloat) from[13];
- to[8] = (GLfloat) from[2];
- to[9] = (GLfloat) from[6];
- to[10] = (GLfloat) from[10];
- to[11] = (GLfloat) from[14];
- to[12] = (GLfloat) from[3];
- to[13] = (GLfloat) from[7];
- to[14] = (GLfloat) from[11];
- to[15] = (GLfloat) from[15];
-}
-
-/*@}*/
-
-
-/**
- * Transform a 4-element row vector (1x4 matrix) by a 4x4 matrix. This
- * function is used for transforming clipping plane equations and spotlight
- * directions.
- * Mathematically, u = v * m.
- * Input: v - input vector
- * m - transformation matrix
- * Output: u - transformed vector
- */
-void
-_mesa_transform_vector( GLfloat u[4], const GLfloat v[4], const GLfloat m[16] )
-{
- const GLfloat v0 = v[0], v1 = v[1], v2 = v[2], v3 = v[3];
-#define M(row,col) m[row + col*4]
- u[0] = v0 * M(0,0) + v1 * M(1,0) + v2 * M(2,0) + v3 * M(3,0);
- u[1] = v0 * M(0,1) + v1 * M(1,1) + v2 * M(2,1) + v3 * M(3,1);
- u[2] = v0 * M(0,2) + v1 * M(1,2) + v2 * M(2,2) + v3 * M(3,2);
- u[3] = v0 * M(0,3) + v1 * M(1,3) + v2 * M(2,3) + v3 * M(3,3);
-#undef M
-}
+/*
+ * Mesa 3-D graphics library
+ * Version: 6.3
+ *
+ * Copyright (C) 1999-2005 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.
+ */
+
+
+/**
+ * \file m_matrix.c
+ * Matrix operations.
+ *
+ * \note
+ * -# 4x4 transformation matrices are stored in memory in column major order.
+ * -# Points/vertices are to be thought of as column vectors.
+ * -# Transformation of a point p by a matrix M is: p' = M * p
+ */
+
+
+#include "main/glheader.h"
+#include "main/imports.h"
+#include "main/macros.h"
+
+#include "m_matrix.h"
+
+
+/**
+ * \defgroup MatFlags MAT_FLAG_XXX-flags
+ *
+ * Bitmasks to indicate different kinds of 4x4 matrices in GLmatrix::flags
+ * It would be nice to make all these flags private to m_matrix.c
+ */
+/*@{*/
+#define MAT_FLAG_IDENTITY 0 /**< is an identity matrix flag.
+ * (Not actually used - the identity
+ * matrix is identified by the absense
+ * of all other flags.)
+ */
+#define MAT_FLAG_GENERAL 0x1 /**< is a general matrix flag */
+#define MAT_FLAG_ROTATION 0x2 /**< is a rotation matrix flag */
+#define MAT_FLAG_TRANSLATION 0x4 /**< is a translation matrix flag */
+#define MAT_FLAG_UNIFORM_SCALE 0x8 /**< is an uniform scaling matrix flag */
+#define MAT_FLAG_GENERAL_SCALE 0x10 /**< is a general scaling matrix flag */
+#define MAT_FLAG_GENERAL_3D 0x20 /**< general 3D matrix flag */
+#define MAT_FLAG_PERSPECTIVE 0x40 /**< is a perspective proj matrix flag */
+#define MAT_FLAG_SINGULAR 0x80 /**< is a singular matrix flag */
+#define MAT_DIRTY_TYPE 0x100 /**< matrix type is dirty */
+#define MAT_DIRTY_FLAGS 0x200 /**< matrix flags are dirty */
+#define MAT_DIRTY_INVERSE 0x400 /**< matrix inverse is dirty */
+
+/** angle preserving matrix flags mask */
+#define MAT_FLAGS_ANGLE_PRESERVING (MAT_FLAG_ROTATION | \
+ MAT_FLAG_TRANSLATION | \
+ MAT_FLAG_UNIFORM_SCALE)
+
+/** geometry related matrix flags mask */
+#define MAT_FLAGS_GEOMETRY (MAT_FLAG_GENERAL | \
+ MAT_FLAG_ROTATION | \
+ MAT_FLAG_TRANSLATION | \
+ MAT_FLAG_UNIFORM_SCALE | \
+ MAT_FLAG_GENERAL_SCALE | \
+ MAT_FLAG_GENERAL_3D | \
+ MAT_FLAG_PERSPECTIVE | \
+ MAT_FLAG_SINGULAR)
+
+/** length preserving matrix flags mask */
+#define MAT_FLAGS_LENGTH_PRESERVING (MAT_FLAG_ROTATION | \
+ MAT_FLAG_TRANSLATION)
+
+
+/** 3D (non-perspective) matrix flags mask */
+#define MAT_FLAGS_3D (MAT_FLAG_ROTATION | \
+ MAT_FLAG_TRANSLATION | \
+ MAT_FLAG_UNIFORM_SCALE | \
+ MAT_FLAG_GENERAL_SCALE | \
+ MAT_FLAG_GENERAL_3D)
+
+/** dirty matrix flags mask */
+#define MAT_DIRTY (MAT_DIRTY_TYPE | \
+ MAT_DIRTY_FLAGS | \
+ MAT_DIRTY_INVERSE)
+
+/*@}*/
+
+
+/**
+ * Test geometry related matrix flags.
+ *
+ * \param mat a pointer to a GLmatrix structure.
+ * \param a flags mask.
+ *
+ * \returns non-zero if all geometry related matrix flags are contained within
+ * the mask, or zero otherwise.
+ */
+#define TEST_MAT_FLAGS(mat, a) \
+ ((MAT_FLAGS_GEOMETRY & (~(a)) & ((mat)->flags) ) == 0)
+
+
+
+/**
+ * Names of the corresponding GLmatrixtype values.
+ */
+static const char *types[] = {
+ "MATRIX_GENERAL",
+ "MATRIX_IDENTITY",
+ "MATRIX_3D_NO_ROT",
+ "MATRIX_PERSPECTIVE",
+ "MATRIX_2D",
+ "MATRIX_2D_NO_ROT",
+ "MATRIX_3D"
+};
+
+
+/**
+ * Identity matrix.
+ */
+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
+};
+
+
+
+/**********************************************************************/
+/** \name Matrix multiplication */
+/*@{*/
+
+#define A(row,col) a[(col<<2)+row]
+#define B(row,col) b[(col<<2)+row]
+#define P(row,col) product[(col<<2)+row]
+
+/**
+ * Perform a full 4x4 matrix multiplication.
+ *
+ * \param a matrix.
+ * \param b matrix.
+ * \param product will receive the product of \p a and \p b.
+ *
+ * \warning Is assumed that \p product != \p b. \p product == \p a is allowed.
+ *
+ * \note KW: 4*16 = 64 multiplications
+ *
+ * \author This \c matmul was contributed by Thomas Malik
+ */
+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 model matrices, and orthogonal matrices.
+ *
+ * \param a matrix.
+ * \param b matrix.
+ * \param product will receive the product of \p a and \p b.
+ */
+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;
+}
+
+#undef A
+#undef B
+#undef P
+
+/**
+ * Multiply a matrix by an array of floats with known properties.
+ *
+ * \param mat pointer to a GLmatrix structure containing the left multiplication
+ * matrix, and that will receive the product result.
+ * \param m right multiplication matrix array.
+ * \param flags flags of the matrix \p m.
+ *
+ * Joins both flags and marks the type and inverse as dirty. Calls matmul34()
+ * if both matrices are 3D, or matmul4() otherwise.
+ */
+static void matrix_multf( GLmatrix *mat, const GLfloat *m, GLuint flags )
+{
+ mat->flags |= (flags | MAT_DIRTY_TYPE | MAT_DIRTY_INVERSE);
+
+ if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D))
+ matmul34( mat->m, mat->m, m );
+ else
+ matmul4( mat->m, mat->m, m );
+}
+
+/**
+ * Matrix multiplication.
+ *
+ * \param dest destination matrix.
+ * \param a left matrix.
+ * \param b right matrix.
+ *
+ * Joins both flags and marks the type and inverse as dirty. Calls matmul34()
+ * if both matrices are 3D, or matmul4() otherwise.
+ */
+void
+_math_matrix_mul_matrix( GLmatrix *dest, const GLmatrix *a, const GLmatrix *b )
+{
+ dest->flags = (a->flags |
+ b->flags |
+ MAT_DIRTY_TYPE |
+ MAT_DIRTY_INVERSE);
+
+ if (TEST_MAT_FLAGS(dest, MAT_FLAGS_3D))
+ matmul34( dest->m, a->m, b->m );
+ else
+ matmul4( dest->m, a->m, b->m );
+}
+
+/**
+ * Matrix multiplication.
+ *
+ * \param dest left and destination matrix.
+ * \param m right matrix array.
+ *
+ * Marks the matrix flags with general flag, and type and inverse dirty flags.
+ * Calls matmul4() for the multiplication.
+ */
+void
+_math_matrix_mul_floats( GLmatrix *dest, const GLfloat *m )
+{
+ dest->flags |= (MAT_FLAG_GENERAL |
+ MAT_DIRTY_TYPE |
+ MAT_DIRTY_INVERSE |
+ MAT_DIRTY_FLAGS);
+
+ matmul4( dest->m, dest->m, m );
+}
+
+/*@}*/
+
+
+/**********************************************************************/
+/** \name Matrix output */
+/*@{*/
+
+/**
+ * Print a matrix array.
+ *
+ * \param m matrix array.
+ *
+ * Called by _math_matrix_print() to print a matrix or its inverse.
+ */
+static void print_matrix_floats( const GLfloat m[16] )
+{
+ int i;
+ for (i=0;i<4;i++) {
+ _mesa_debug(NULL,"\t%f %f %f %f\n", m[i], m[4+i], m[8+i], m[12+i] );
+ }
+}
+
+/**
+ * Dumps the contents of a GLmatrix structure.
+ *
+ * \param m pointer to the GLmatrix structure.
+ */
+void
+_math_matrix_print( const GLmatrix *m )
+{
+ _mesa_debug(NULL, "Matrix type: %s, flags: %x\n", types[m->type], m->flags);
+ print_matrix_floats(m->m);
+ _mesa_debug(NULL, "Inverse: \n");
+ if (m->inv) {
+ GLfloat prod[16];
+ print_matrix_floats(m->inv);
+ matmul4(prod, m->m, m->inv);
+ _mesa_debug(NULL, "Mat * Inverse:\n");
+ print_matrix_floats(prod);
+ }
+ else {
+ _mesa_debug(NULL, " - not available\n");
+ }
+}
+
+/*@}*/
+
+
+/**
+ * References an element of 4x4 matrix.
+ *
+ * \param m matrix array.
+ * \param c column of the desired element.
+ * \param r row of the desired element.
+ *
+ * \return value of the desired element.
+ *
+ * Calculate the linear storage index of the element and references it.
+ */
+#define MAT(m,r,c) (m)[(c)*4+(r)]
+
+
+/**********************************************************************/
+/** \name Matrix inversion */
+/*@{*/
+
+/**
+ * Swaps the values of two floating pointer variables.
+ *
+ * Used by invert_matrix_general() to swap the row pointers.
+ */
+#define SWAP_ROWS(a, b) { GLfloat *_tmp = a; (a)=(b); (b)=_tmp; }
+
+/**
+ * Compute inverse of 4x4 transformation matrix.
+ *
+ * \param mat pointer to a GLmatrix structure. The matrix inverse will be
+ * stored in the GLmatrix::inv attribute.
+ *
+ * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
+ *
+ * \author
+ * Code contributed by Jacques Leroy jle@star.be
+ *
+ * Calculates the inverse matrix by performing the gaussian matrix reduction
+ * with partial pivoting followed by back/substitution with the loops manually
+ * unrolled.
+ */
+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 (FABSF(r3[0])>FABSF(r2[0])) SWAP_ROWS(r3, r2);
+ if (FABSF(r2[0])>FABSF(r1[0])) SWAP_ROWS(r2, r1);
+ if (FABSF(r1[0])>FABSF(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 (FABSF(r3[1])>FABSF(r2[1])) SWAP_ROWS(r3, r2);
+ if (FABSF(r2[1])>FABSF(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 (FABSF(r3[2])>FABSF(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 = 1.0F/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 = 1.0F/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 = 1.0F/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 = 1.0F/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
+
+/**
+ * Compute inverse of a general 3d transformation matrix.
+ *
+ * \param mat pointer to a GLmatrix structure. The matrix inverse will be
+ * stored in the GLmatrix::inv attribute.
+ *
+ * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
+ *
+ * \author Adapted from graphics gems II.
+ *
+ * Calculates the inverse of the upper left by first calculating its
+ * determinant and multiplying it to the symmetric adjust matrix of each
+ * element. Finally deals with the translation part by transforming the
+ * original translation vector using by the calculated submatrix inverse.
+ */
+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 = 1.0F / 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;
+}
+
+/**
+ * Compute inverse of a 3d transformation matrix.
+ *
+ * \param mat pointer to a GLmatrix structure. The matrix inverse will be
+ * stored in the GLmatrix::inv attribute.
+ *
+ * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
+ *
+ * If the matrix is not an angle preserving matrix then calls
+ * invert_matrix_3d_general for the actual calculation. Otherwise calculates
+ * the inverse matrix analyzing and inverting each of the scaling, rotation and
+ * translation parts.
+ */
+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 = 1.0F / 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;
+}
+
+/**
+ * Compute inverse of an identity transformation matrix.
+ *
+ * \param mat pointer to a GLmatrix structure. The matrix inverse will be
+ * stored in the GLmatrix::inv attribute.
+ *
+ * \return always GL_TRUE.
+ *
+ * Simply copies Identity into GLmatrix::inv.
+ */
+static GLboolean invert_matrix_identity( GLmatrix *mat )
+{
+ memcpy( mat->inv, Identity, sizeof(Identity) );
+ return GL_TRUE;
+}
+
+/**
+ * Compute inverse of a no-rotation 3d transformation matrix.
+ *
+ * \param mat pointer to a GLmatrix structure. The matrix inverse will be
+ * stored in the GLmatrix::inv attribute.
+ *
+ * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
+ *
+ * Calculates the
+ */
+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) = 1.0F / MAT(in,0,0);
+ MAT(out,1,1) = 1.0F / MAT(in,1,1);
+ MAT(out,2,2) = 1.0F / 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;
+}
+
+/**
+ * Compute inverse of a no-rotation 2d transformation matrix.
+ *
+ * \param mat pointer to a GLmatrix structure. The matrix inverse will be
+ * stored in the GLmatrix::inv attribute.
+ *
+ * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
+ *
+ * Calculates the inverse matrix by applying the inverse scaling and
+ * translation to the identity matrix.
+ */
+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) = 1.0F / MAT(in,0,0);
+ MAT(out,1,1) = 1.0F / 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;
+}
+
+#if 0
+/* broken */
+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) = 1.0F / MAT(in,0,0);
+ MAT(out,1,1) = 1.0F / 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) = 1.0F / MAT(in,2,3);
+ MAT(out,3,3) = MAT(in,2,2) * MAT(out,3,2);
+
+ return GL_TRUE;
+}
+#endif
+
+/**
+ * Matrix inversion function pointer type.
+ */
+typedef GLboolean (*inv_mat_func)( GLmatrix *mat );
+
+/**
+ * Table of the matrix inversion functions according to the matrix type.
+ */
+static inv_mat_func inv_mat_tab[7] = {
+ invert_matrix_general,
+ invert_matrix_identity,
+ invert_matrix_3d_no_rot,
+#if 0
+ /* Don't use this function for now - it fails when the projection matrix
+ * is premultiplied by a translation (ala Chromium's tilesort SPU).
+ */
+ invert_matrix_perspective,
+#else
+ invert_matrix_general,
+#endif
+ invert_matrix_3d, /* lazy! */
+ invert_matrix_2d_no_rot,
+ invert_matrix_3d
+};
+
+/**
+ * Compute inverse of a transformation matrix.
+ *
+ * \param mat pointer to a GLmatrix structure. The matrix inverse will be
+ * stored in the GLmatrix::inv attribute.
+ *
+ * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix).
+ *
+ * Calls the matrix inversion function in inv_mat_tab corresponding to the
+ * given matrix type. In case of failure, updates the MAT_FLAG_SINGULAR flag,
+ * and copies the identity matrix into GLmatrix::inv.
+ */
+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;
+ }
+}
+
+/*@}*/
+
+
+/**********************************************************************/
+/** \name Matrix generation */
+/*@{*/
+
+/**
+ * Generate a 4x4 transformation matrix from glRotate parameters, and
+ * post-multiply the input matrix by it.
+ *
+ * \author
+ * This function was contributed by Erich Boleyn (erich@uruk.org).
+ * Optimizations contributed by Rudolf Opalla (rudi@khm.de).
+ */
+void
+_math_matrix_rotate( GLmatrix *mat,
+ GLfloat angle, GLfloat x, GLfloat y, GLfloat z )
+{
+ GLfloat xx, yy, zz, xy, yz, zx, xs, ys, zs, one_c, s, c;
+ GLfloat m[16];
+ GLboolean optimized;
+
+ s = (GLfloat) sin( angle * DEG2RAD );
+ c = (GLfloat) cos( angle * DEG2RAD );
+
+ memcpy(m, Identity, sizeof(GLfloat)*16);
+ optimized = GL_FALSE;
+
+#define M(row,col) m[col*4+row]
+
+ if (x == 0.0F) {
+ if (y == 0.0F) {
+ if (z != 0.0F) {
+ optimized = GL_TRUE;
+ /* rotate only around z-axis */
+ M(0,0) = c;
+ M(1,1) = c;
+ if (z < 0.0F) {
+ M(0,1) = s;
+ M(1,0) = -s;
+ }
+ else {
+ M(0,1) = -s;
+ M(1,0) = s;
+ }
+ }
+ }
+ else if (z == 0.0F) {
+ optimized = GL_TRUE;
+ /* rotate only around y-axis */
+ M(0,0) = c;
+ M(2,2) = c;
+ if (y < 0.0F) {
+ M(0,2) = -s;
+ M(2,0) = s;
+ }
+ else {
+ M(0,2) = s;
+ M(2,0) = -s;
+ }
+ }
+ }
+ else if (y == 0.0F) {
+ if (z == 0.0F) {
+ optimized = GL_TRUE;
+ /* rotate only around x-axis */
+ M(1,1) = c;
+ M(2,2) = c;
+ if (x < 0.0F) {
+ M(1,2) = s;
+ M(2,1) = -s;
+ }
+ else {
+ M(1,2) = -s;
+ M(2,1) = s;
+ }
+ }
+ }
+
+ if (!optimized) {
+ const GLfloat mag = SQRTF(x * x + y * y + z * z);
+
+ if (mag <= 1.0e-4) {
+ /* no rotation, leave mat as-is */
+ return;
+ }
+
+ x /= mag;
+ y /= mag;
+ z /= mag;
+
+
+ /*
+ * 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 its 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;
+
+ /* We already hold the identity-matrix so we can skip some statements */
+ 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
+
+ matrix_multf( mat, m, MAT_FLAG_ROTATION );
+}
+
+/**
+ * Apply a perspective projection matrix.
+ *
+ * \param mat matrix to apply the projection.
+ * \param left left clipping plane coordinate.
+ * \param right right clipping plane coordinate.
+ * \param bottom bottom clipping plane coordinate.
+ * \param top top clipping plane coordinate.
+ * \param nearval distance to the near clipping plane.
+ * \param farval distance to the far clipping plane.
+ *
+ * Creates the projection matrix and multiplies it with \p mat, marking the
+ * MAT_FLAG_PERSPECTIVE flag.
+ */
+void
+_math_matrix_frustum( GLmatrix *mat,
+ GLfloat left, GLfloat right,
+ GLfloat bottom, GLfloat top,
+ GLfloat nearval, GLfloat farval )
+{
+ GLfloat x, y, a, b, c, d;
+ GLfloat m[16];
+
+ x = (2.0F*nearval) / (right-left);
+ y = (2.0F*nearval) / (top-bottom);
+ a = (right+left) / (right-left);
+ b = (top+bottom) / (top-bottom);
+ c = -(farval+nearval) / ( farval-nearval);
+ d = -(2.0F*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
+
+ matrix_multf( mat, m, MAT_FLAG_PERSPECTIVE );
+}
+
+/**
+ * Apply an orthographic projection matrix.
+ *
+ * \param mat matrix to apply the projection.
+ * \param left left clipping plane coordinate.
+ * \param right right clipping plane coordinate.
+ * \param bottom bottom clipping plane coordinate.
+ * \param top top clipping plane coordinate.
+ * \param nearval distance to the near clipping plane.
+ * \param farval distance to the far clipping plane.
+ *
+ * Creates the projection matrix and multiplies it with \p mat, marking the
+ * MAT_FLAG_GENERAL_SCALE and MAT_FLAG_TRANSLATION flags.
+ */
+void
+_math_matrix_ortho( GLmatrix *mat,
+ GLfloat left, GLfloat right,
+ GLfloat bottom, GLfloat top,
+ GLfloat nearval, GLfloat farval )
+{
+ GLfloat m[16];
+
+#define M(row,col) m[col*4+row]
+ M(0,0) = 2.0F / (right-left);
+ M(0,1) = 0.0F;
+ M(0,2) = 0.0F;
+ M(0,3) = -(right+left) / (right-left);
+
+ M(1,0) = 0.0F;
+ M(1,1) = 2.0F / (top-bottom);
+ M(1,2) = 0.0F;
+ M(1,3) = -(top+bottom) / (top-bottom);
+
+ M(2,0) = 0.0F;
+ M(2,1) = 0.0F;
+ M(2,2) = -2.0F / (farval-nearval);
+ M(2,3) = -(farval+nearval) / (farval-nearval);
+
+ M(3,0) = 0.0F;
+ M(3,1) = 0.0F;
+ M(3,2) = 0.0F;
+ M(3,3) = 1.0F;
+#undef M
+
+ matrix_multf( mat, m, (MAT_FLAG_GENERAL_SCALE|MAT_FLAG_TRANSLATION));
+}
+
+/**
+ * Multiply a matrix with a general scaling matrix.
+ *
+ * \param mat matrix.
+ * \param x x axis scale factor.
+ * \param y y axis scale factor.
+ * \param z z axis scale factor.
+ *
+ * Multiplies in-place the elements of \p mat by the scale factors. Checks if
+ * the scales factors are roughly the same, marking the MAT_FLAG_UNIFORM_SCALE
+ * flag, or MAT_FLAG_GENERAL_SCALE. Marks the MAT_DIRTY_TYPE and
+ * MAT_DIRTY_INVERSE dirty flags.
+ */
+void
+_math_matrix_scale( GLmatrix *mat, GLfloat x, GLfloat y, GLfloat z )
+{
+ GLfloat *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 (FABSF(x - y) < 1e-8 && FABSF(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);
+}
+
+/**
+ * Multiply a matrix with a translation matrix.
+ *
+ * \param mat matrix.
+ * \param x translation vector x coordinate.
+ * \param y translation vector y coordinate.
+ * \param z translation vector z coordinate.
+ *
+ * Adds the translation coordinates to the elements of \p mat in-place. Marks
+ * the MAT_FLAG_TRANSLATION flag, and the MAT_DIRTY_TYPE and MAT_DIRTY_INVERSE
+ * dirty flags.
+ */
+void
+_math_matrix_translate( GLmatrix *mat, GLfloat x, GLfloat y, GLfloat z )
+{
+ GLfloat *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);
+}
+
+
+/**
+ * Set matrix to do viewport and depthrange mapping.
+ * Transforms Normalized Device Coords to window/Z values.
+ */
+void
+_math_matrix_viewport(GLmatrix *m, GLint x, GLint y, GLint width, GLint height,
+ GLfloat zNear, GLfloat zFar, GLfloat depthMax)
+{
+ m->m[MAT_SX] = (GLfloat) width / 2.0F;
+ m->m[MAT_TX] = m->m[MAT_SX] + x;
+ m->m[MAT_SY] = (GLfloat) height / 2.0F;
+ m->m[MAT_TY] = m->m[MAT_SY] + y;
+ m->m[MAT_SZ] = depthMax * ((zFar - zNear) / 2.0F);
+ m->m[MAT_TZ] = depthMax * ((zFar - zNear) / 2.0F + zNear);
+ m->flags = MAT_FLAG_GENERAL_SCALE | MAT_FLAG_TRANSLATION;
+ m->type = MATRIX_3D_NO_ROT;
+}
+
+
+/**
+ * Set a matrix to the identity matrix.
+ *
+ * \param mat matrix.
+ *
+ * Copies ::Identity into \p GLmatrix::m, and into GLmatrix::inv if not NULL.
+ * Sets the matrix type to identity, and clear the dirty flags.
+ */
+void
+_math_matrix_set_identity( GLmatrix *mat )
+{
+ memcpy( mat->m, Identity, 16*sizeof(GLfloat) );
+
+ if (mat->inv)
+ memcpy( mat->inv, Identity, 16*sizeof(GLfloat) );
+
+ mat->type = MATRIX_IDENTITY;
+ mat->flags &= ~(MAT_DIRTY_FLAGS|
+ MAT_DIRTY_TYPE|
+ MAT_DIRTY_INVERSE);
+}
+
+/*@}*/
+
+
+/**********************************************************************/
+/** \name Matrix analysis */
+/*@{*/
+
+#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.
+ *
+ * \param mat matrix.
+ *
+ * This is expensive enough to only want to do it once.
+ */
+static void analyse_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 == (GLuint) MASK_IDENTITY) {
+ mat->type = MATRIX_IDENTITY;
+ }
+ else if ((mask & MASK_2D_NO_ROT) == (GLuint) 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) == (GLuint) 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) == (GLuint) 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) == (GLuint) 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;
+ }
+}
+
+/**
+ * Analyze a matrix given that its flags are accurate.
+ *
+ * This is the more common operation, hopefully.
+ */
+static void analyse_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;
+ }
+}
+
+/**
+ * Analyze and update a matrix.
+ *
+ * \param mat matrix.
+ *
+ * If the matrix type is dirty then calls either analyse_from_scratch() or
+ * analyse_from_flags() to determine its type, according to whether the flags
+ * are dirty or not, respectively. If the matrix has an inverse and it's dirty
+ * then calls matrix_invert(). Finally clears the dirty flags.
+ */
+void
+_math_matrix_analyse( GLmatrix *mat )
+{
+ if (mat->flags & MAT_DIRTY_TYPE) {
+ if (mat->flags & MAT_DIRTY_FLAGS)
+ analyse_from_scratch( mat );
+ else
+ analyse_from_flags( mat );
+ }
+
+ if (mat->inv && (mat->flags & MAT_DIRTY_INVERSE)) {
+ matrix_invert( mat );
+ mat->flags &= ~MAT_DIRTY_INVERSE;
+ }
+
+ mat->flags &= ~(MAT_DIRTY_FLAGS | MAT_DIRTY_TYPE);
+}
+
+/*@}*/
+
+
+/**
+ * Test if the given matrix preserves vector lengths.
+ */
+GLboolean
+_math_matrix_is_length_preserving( const GLmatrix *m )
+{
+ return TEST_MAT_FLAGS( m, MAT_FLAGS_LENGTH_PRESERVING);
+}
+
+
+/**
+ * Test if the given matrix does any rotation.
+ * (or perhaps if the upper-left 3x3 is non-identity)
+ */
+GLboolean
+_math_matrix_has_rotation( const GLmatrix *m )
+{
+ if (m->flags & (MAT_FLAG_GENERAL |
+ MAT_FLAG_ROTATION |
+ MAT_FLAG_GENERAL_3D |
+ MAT_FLAG_PERSPECTIVE))
+ return GL_TRUE;
+ else
+ return GL_FALSE;
+}
+
+
+GLboolean
+_math_matrix_is_general_scale( const GLmatrix *m )
+{
+ return (m->flags & MAT_FLAG_GENERAL_SCALE) ? GL_TRUE : GL_FALSE;
+}
+
+
+GLboolean
+_math_matrix_is_dirty( const GLmatrix *m )
+{
+ return (m->flags & MAT_DIRTY) ? GL_TRUE : GL_FALSE;
+}
+
+
+/**********************************************************************/
+/** \name Matrix setup */
+/*@{*/
+
+/**
+ * Copy a matrix.
+ *
+ * \param to destination matrix.
+ * \param from source matrix.
+ *
+ * Copies all fields in GLmatrix, creating an inverse array if necessary.
+ */
+void
+_math_matrix_copy( GLmatrix *to, const GLmatrix *from )
+{
+ memcpy( to->m, from->m, sizeof(Identity) );
+ to->flags = from->flags;
+ to->type = from->type;
+
+ if (to->inv != 0) {
+ if (from->inv == 0) {
+ matrix_invert( to );
+ }
+ else {
+ memcpy(to->inv, from->inv, sizeof(GLfloat)*16);
+ }
+ }
+}
+
+/**
+ * Loads a matrix array into GLmatrix.
+ *
+ * \param m matrix array.
+ * \param mat matrix.
+ *
+ * Copies \p m into GLmatrix::m and marks the MAT_FLAG_GENERAL and MAT_DIRTY
+ * flags.
+ */
+void
+_math_matrix_loadf( GLmatrix *mat, const GLfloat *m )
+{
+ memcpy( mat->m, m, 16*sizeof(GLfloat) );
+ mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY);
+}
+
+/**
+ * Matrix constructor.
+ *
+ * \param m matrix.
+ *
+ * Initialize the GLmatrix fields.
+ */
+void
+_math_matrix_ctr( GLmatrix *m )
+{
+ m->m = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 );
+ if (m->m)
+ memcpy( m->m, Identity, sizeof(Identity) );
+ m->inv = NULL;
+ m->type = MATRIX_IDENTITY;
+ m->flags = 0;
+}
+
+/**
+ * Matrix destructor.
+ *
+ * \param m matrix.
+ *
+ * Frees the data in a GLmatrix.
+ */
+void
+_math_matrix_dtr( GLmatrix *m )
+{
+ if (m->m) {
+ _mesa_align_free( m->m );
+ m->m = NULL;
+ }
+ if (m->inv) {
+ _mesa_align_free( m->inv );
+ m->inv = NULL;
+ }
+}
+
+/**
+ * Allocate a matrix inverse.
+ *
+ * \param m matrix.
+ *
+ * Allocates the matrix inverse, GLmatrix::inv, and sets it to Identity.
+ */
+void
+_math_matrix_alloc_inv( GLmatrix *m )
+{
+ if (!m->inv) {
+ m->inv = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 );
+ if (m->inv)
+ memcpy( m->inv, Identity, 16 * sizeof(GLfloat) );
+ }
+}
+
+/*@}*/
+
+
+/**********************************************************************/
+/** \name Matrix transpose */
+/*@{*/
+
+/**
+ * Transpose a GLfloat matrix.
+ *
+ * \param to destination array.
+ * \param from source array.
+ */
+void
+_math_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];
+}
+
+/**
+ * Transpose a GLdouble matrix.
+ *
+ * \param to destination array.
+ * \param from source array.
+ */
+void
+_math_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];
+}
+
+/**
+ * Transpose a GLdouble matrix and convert to GLfloat.
+ *
+ * \param to destination array.
+ * \param from source array.
+ */
+void
+_math_transposefd( GLfloat to[16], const GLdouble from[16] )
+{
+ to[0] = (GLfloat) from[0];
+ to[1] = (GLfloat) from[4];
+ to[2] = (GLfloat) from[8];
+ to[3] = (GLfloat) from[12];
+ to[4] = (GLfloat) from[1];
+ to[5] = (GLfloat) from[5];
+ to[6] = (GLfloat) from[9];
+ to[7] = (GLfloat) from[13];
+ to[8] = (GLfloat) from[2];
+ to[9] = (GLfloat) from[6];
+ to[10] = (GLfloat) from[10];
+ to[11] = (GLfloat) from[14];
+ to[12] = (GLfloat) from[3];
+ to[13] = (GLfloat) from[7];
+ to[14] = (GLfloat) from[11];
+ to[15] = (GLfloat) from[15];
+}
+
+/*@}*/
+
+
+/**
+ * Transform a 4-element row vector (1x4 matrix) by a 4x4 matrix. This
+ * function is used for transforming clipping plane equations and spotlight
+ * directions.
+ * Mathematically, u = v * m.
+ * Input: v - input vector
+ * m - transformation matrix
+ * Output: u - transformed vector
+ */
+void
+_mesa_transform_vector( GLfloat u[4], const GLfloat v[4], const GLfloat m[16] )
+{
+ const GLfloat v0 = v[0], v1 = v[1], v2 = v[2], v3 = v[3];
+#define M(row,col) m[row + col*4]
+ u[0] = v0 * M(0,0) + v1 * M(1,0) + v2 * M(2,0) + v3 * M(3,0);
+ u[1] = v0 * M(0,1) + v1 * M(1,1) + v2 * M(2,1) + v3 * M(3,1);
+ u[2] = v0 * M(0,2) + v1 * M(1,2) + v2 * M(2,2) + v3 * M(3,2);
+ u[3] = v0 * M(0,3) + v1 * M(1,3) + v2 * M(2,3) + v3 * M(3,3);
+#undef M
+}
diff --git a/mesalib/src/mesa/math/m_vector.c b/mesalib/src/mesa/math/m_vector.c
index fbd63fd92..7ca08f4c0 100644
--- a/mesalib/src/mesa/math/m_vector.c
+++ b/mesalib/src/mesa/math/m_vector.c
@@ -1,185 +1,184 @@
-/*
- * 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.
- */
-
-
-#include "main/glheader.h"
-#include "main/imports.h"
-#include "main/macros.h"
-#include "main/imports.h"
-
-#include "m_vector.h"
-
-
-
-/**
- * Given a vector [count][4] of floats, set all the [][elt] values
- * to 0 (if elt = 0, 1, 2) or 1.0 (if elt = 3).
- */
-void
-_mesa_vector4f_clean_elem( GLvector4f *vec, GLuint count, GLuint elt )
-{
- static const GLubyte elem_bits[4] = {
- VEC_DIRTY_0,
- VEC_DIRTY_1,
- VEC_DIRTY_2,
- VEC_DIRTY_3
- };
- static const GLfloat clean[4] = { 0, 0, 0, 1 };
- const GLfloat v = clean[elt];
- GLfloat (*data)[4] = (GLfloat (*)[4])vec->start;
- GLuint i;
-
- for (i = 0; i < count; i++)
- data[i][elt] = v;
-
- vec->flags &= ~elem_bits[elt];
-}
-
-
-static const GLubyte size_bits[5] = {
- 0,
- VEC_SIZE_1,
- VEC_SIZE_2,
- VEC_SIZE_3,
- VEC_SIZE_4,
-};
-
-
-/**
- * Initialize GLvector objects.
- * \param v the vector object to initialize.
- * \param flags bitwise-OR of VEC_* flags
- * \param storage pointer to storage for the vector's data
- */
-void
-_mesa_vector4f_init( GLvector4f *v, GLbitfield flags, GLfloat (*storage)[4] )
-{
- v->stride = 4 * sizeof(GLfloat);
- v->size = 2; /* may change: 2-4 for vertices and 1-4 for texcoords */
- v->data = storage;
- v->start = (GLfloat *) storage;
- v->count = 0;
- v->flags = size_bits[4] | flags;
-}
-
-
-/**
- * Initialize GLvector objects and allocate storage.
- * \param v the vector object
- * \param flags bitwise-OR of VEC_* flags
- * \param count number of elements to allocate in vector
- * \param alignment desired memory alignment for the data (in bytes)
- */
-void
-_mesa_vector4f_alloc( GLvector4f *v, GLbitfield flags, GLuint count,
- GLuint alignment )
-{
- v->stride = 4 * sizeof(GLfloat);
- v->size = 2;
- v->storage = _mesa_align_malloc( count * 4 * sizeof(GLfloat), alignment );
- v->storage_count = count;
- v->start = (GLfloat *) v->storage;
- v->data = (GLfloat (*)[4]) v->storage;
- v->count = 0;
- v->flags = size_bits[4] | flags | VEC_MALLOC;
-}
-
-
-/**
- * Vector deallocation. Free whatever memory is pointed to by the
- * vector's storage field if the VEC_MALLOC flag is set.
- * DO NOT free the GLvector object itself, though.
- */
-void
-_mesa_vector4f_free( GLvector4f *v )
-{
- if (v->flags & VEC_MALLOC) {
- _mesa_align_free( v->storage );
- v->data = NULL;
- v->start = NULL;
- v->storage = NULL;
- v->flags &= ~VEC_MALLOC;
- }
-}
-
-
-/**
- * For debugging
- */
-void
-_mesa_vector4f_print( const GLvector4f *v, const GLubyte *cullmask,
- GLboolean culling )
-{
- static const GLfloat c[4] = { 0, 0, 0, 1 };
- static const char *templates[5] = {
- "%d:\t0, 0, 0, 1\n",
- "%d:\t%f, 0, 0, 1\n",
- "%d:\t%f, %f, 0, 1\n",
- "%d:\t%f, %f, %f, 1\n",
- "%d:\t%f, %f, %f, %f\n"
- };
-
- const char *t = templates[v->size];
- GLfloat *d = (GLfloat *)v->data;
- GLuint j, i = 0, count;
-
- printf("data-start\n");
- for (; d != v->start; STRIDE_F(d, v->stride), i++)
- printf(t, i, d[0], d[1], d[2], d[3]);
-
- printf("start-count(%u)\n", v->count);
- count = i + v->count;
-
- if (culling) {
- for (; i < count; STRIDE_F(d, v->stride), i++)
- if (cullmask[i])
- printf(t, i, d[0], d[1], d[2], d[3]);
- }
- else {
- for (; i < count; STRIDE_F(d, v->stride), i++)
- printf(t, i, d[0], d[1], d[2], d[3]);
- }
-
- for (j = v->size; j < 4; j++) {
- if ((v->flags & (1<<j)) == 0) {
-
- printf("checking col %u is clean as advertised ", j);
-
- for (i = 0, d = (GLfloat *) v->data;
- i < count && d[j] == c[j];
- i++, STRIDE_F(d, v->stride)) {
- /* no-op */
- }
-
- if (i == count)
- printf(" --> ok\n");
- else
- printf(" --> Failed at %u ******\n", i);
- }
- }
-}
+/*
+ * 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.
+ */
+
+
+#include "main/glheader.h"
+#include "main/imports.h"
+#include "main/macros.h"
+
+#include "m_vector.h"
+
+
+
+/**
+ * Given a vector [count][4] of floats, set all the [][elt] values
+ * to 0 (if elt = 0, 1, 2) or 1.0 (if elt = 3).
+ */
+void
+_mesa_vector4f_clean_elem( GLvector4f *vec, GLuint count, GLuint elt )
+{
+ static const GLubyte elem_bits[4] = {
+ VEC_DIRTY_0,
+ VEC_DIRTY_1,
+ VEC_DIRTY_2,
+ VEC_DIRTY_3
+ };
+ static const GLfloat clean[4] = { 0, 0, 0, 1 };
+ const GLfloat v = clean[elt];
+ GLfloat (*data)[4] = (GLfloat (*)[4])vec->start;
+ GLuint i;
+
+ for (i = 0; i < count; i++)
+ data[i][elt] = v;
+
+ vec->flags &= ~elem_bits[elt];
+}
+
+
+static const GLubyte size_bits[5] = {
+ 0,
+ VEC_SIZE_1,
+ VEC_SIZE_2,
+ VEC_SIZE_3,
+ VEC_SIZE_4,
+};
+
+
+/**
+ * Initialize GLvector objects.
+ * \param v the vector object to initialize.
+ * \param flags bitwise-OR of VEC_* flags
+ * \param storage pointer to storage for the vector's data
+ */
+void
+_mesa_vector4f_init( GLvector4f *v, GLbitfield flags, GLfloat (*storage)[4] )
+{
+ v->stride = 4 * sizeof(GLfloat);
+ v->size = 2; /* may change: 2-4 for vertices and 1-4 for texcoords */
+ v->data = storage;
+ v->start = (GLfloat *) storage;
+ v->count = 0;
+ v->flags = size_bits[4] | flags;
+}
+
+
+/**
+ * Initialize GLvector objects and allocate storage.
+ * \param v the vector object
+ * \param flags bitwise-OR of VEC_* flags
+ * \param count number of elements to allocate in vector
+ * \param alignment desired memory alignment for the data (in bytes)
+ */
+void
+_mesa_vector4f_alloc( GLvector4f *v, GLbitfield flags, GLuint count,
+ GLuint alignment )
+{
+ v->stride = 4 * sizeof(GLfloat);
+ v->size = 2;
+ v->storage = _mesa_align_malloc( count * 4 * sizeof(GLfloat), alignment );
+ v->storage_count = count;
+ v->start = (GLfloat *) v->storage;
+ v->data = (GLfloat (*)[4]) v->storage;
+ v->count = 0;
+ v->flags = size_bits[4] | flags | VEC_MALLOC;
+}
+
+
+/**
+ * Vector deallocation. Free whatever memory is pointed to by the
+ * vector's storage field if the VEC_MALLOC flag is set.
+ * DO NOT free the GLvector object itself, though.
+ */
+void
+_mesa_vector4f_free( GLvector4f *v )
+{
+ if (v->flags & VEC_MALLOC) {
+ _mesa_align_free( v->storage );
+ v->data = NULL;
+ v->start = NULL;
+ v->storage = NULL;
+ v->flags &= ~VEC_MALLOC;
+ }
+}
+
+
+/**
+ * For debugging
+ */
+void
+_mesa_vector4f_print( const GLvector4f *v, const GLubyte *cullmask,
+ GLboolean culling )
+{
+ static const GLfloat c[4] = { 0, 0, 0, 1 };
+ static const char *templates[5] = {
+ "%d:\t0, 0, 0, 1\n",
+ "%d:\t%f, 0, 0, 1\n",
+ "%d:\t%f, %f, 0, 1\n",
+ "%d:\t%f, %f, %f, 1\n",
+ "%d:\t%f, %f, %f, %f\n"
+ };
+
+ const char *t = templates[v->size];
+ GLfloat *d = (GLfloat *)v->data;
+ GLuint j, i = 0, count;
+
+ printf("data-start\n");
+ for (; d != v->start; STRIDE_F(d, v->stride), i++)
+ printf(t, i, d[0], d[1], d[2], d[3]);
+
+ printf("start-count(%u)\n", v->count);
+ count = i + v->count;
+
+ if (culling) {
+ for (; i < count; STRIDE_F(d, v->stride), i++)
+ if (cullmask[i])
+ printf(t, i, d[0], d[1], d[2], d[3]);
+ }
+ else {
+ for (; i < count; STRIDE_F(d, v->stride), i++)
+ printf(t, i, d[0], d[1], d[2], d[3]);
+ }
+
+ for (j = v->size; j < 4; j++) {
+ if ((v->flags & (1<<j)) == 0) {
+
+ printf("checking col %u is clean as advertised ", j);
+
+ for (i = 0, d = (GLfloat *) v->data;
+ i < count && d[j] == c[j];
+ i++, STRIDE_F(d, v->stride)) {
+ /* no-op */
+ }
+
+ if (i == count)
+ printf(" --> ok\n");
+ else
+ printf(" --> Failed at %u ******\n", i);
+ }
+ }
+}
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-24 12:11:39 +0000