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Diffstat (limited to 'src/mesa/util/u_math.c')
| -rw-r--r-- | src/mesa/util/u_math.c | 311 |
1 files changed, 311 insertions, 0 deletions
diff --git a/src/mesa/util/u_math.c b/src/mesa/util/u_math.c new file mode 100644 index 00000000..7913285a --- /dev/null +++ b/src/mesa/util/u_math.c @@ -0,0 +1,311 @@ +/************************************************************************** + * + * Copyright 2008 VMware, Inc. + * 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, sub license, 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 (including the + * next paragraph) 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 NON-INFRINGEMENT. + * IN NO EVENT SHALL VMWARE AND/OR ITS SUPPLIERS 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. + * + **************************************************************************/ + + + +#include "pipe/p_config.h" +#include "util/u_math.h" +#include "util/u_cpu_detect.h" + +#if defined(PIPE_ARCH_SSE) +#include <xmmintrin.h> +/* This is defined in pmmintrin.h, but it can only be included when -msse3 is + * used, so just define it here to avoid further. */ +#ifndef _MM_DENORMALS_ZERO_MASK +#define _MM_DENORMALS_ZERO_MASK 0x0040 +#endif +#endif + + +/** log2(x), for x in [1.0, 2.0) */ +float log2_table[LOG2_TABLE_SIZE]; + + +static void +init_log2_table(void) +{ + unsigned i; + for (i = 0; i < LOG2_TABLE_SIZE; i++) + log2_table[i] = (float) log2(1.0 + i * (1.0 / LOG2_TABLE_SCALE)); +} + + +/** + * One time init for math utilities. + */ +void +util_init_math(void) +{ + static bool initialized = false; + if (!initialized) { + init_log2_table(); + initialized = true; + } +} + +/** + * Fetches the contents of the fpstate (mxcsr on x86) register. + * + * On platforms without support for it just returns 0. + */ +unsigned +util_fpstate_get(void) +{ + unsigned mxcsr = 0; + +#if defined(PIPE_ARCH_SSE) + if (util_get_cpu_caps()->has_sse) { + mxcsr = _mm_getcsr(); + } +#endif + + return mxcsr; +} + +/** + * Make sure that the fp treats the denormalized floating + * point numbers as zero. + * + * This is the behavior required by D3D10. OpenGL doesn't care. + */ +unsigned +util_fpstate_set_denorms_to_zero(unsigned current_mxcsr) +{ +#if defined(PIPE_ARCH_SSE) + if (util_get_cpu_caps()->has_sse) { + /* Enable flush to zero mode */ + current_mxcsr |= _MM_FLUSH_ZERO_MASK; + if (util_get_cpu_caps()->has_daz) { + /* Enable denormals are zero mode */ + current_mxcsr |= _MM_DENORMALS_ZERO_MASK; + } + util_fpstate_set(current_mxcsr); + } +#endif + return current_mxcsr; +} + +/** + * Set the state of the fpstate (mxcsr on x86) register. + * + * On platforms without support for it's a noop. + */ +void +util_fpstate_set(unsigned mxcsr) +{ +#if defined(PIPE_ARCH_SSE) + if (util_get_cpu_caps()->has_sse) { + _mm_setcsr(mxcsr); + } +#endif +} + +/** + * Compute inverse of 4x4 matrix. + * + * \return false if the source matrix is singular. + * + * \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. + */ +bool +util_invert_mat4x4(float *out, const float *m) +{ + float wtmp[4][8]; + float m0, m1, m2, m3, s; + float *r0, *r1, *r2, *r3; + +#define MAT(m, r, c) (m)[(c)*4 + (r)] +#define SWAP_ROWS(a, b) \ + { \ + float *_tmp = a; \ + (a) = (b); \ + (b) = _tmp; \ + } + + 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 (0.0F == r0[0]) + return 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 != 0.0F) { + r1[4] -= m1 * s; + r2[4] -= m2 * s; + r3[4] -= m3 * s; + } + s = r0[5]; + if (s != 0.0F) { + r1[5] -= m1 * s; + r2[5] -= m2 * s; + r3[5] -= m3 * s; + } + s = r0[6]; + if (s != 0.0F) { + r1[6] -= m1 * s; + r2[6] -= m2 * s; + r3[6] -= m3 * s; + } + s = r0[7]; + if (s != 0.0F) { + 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 (0.0F == r1[1]) + return 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 (0.0F != s) { + r2[4] -= m2 * s; + r3[4] -= m3 * s; + } + s = r1[5]; + if (0.0F != s) { + r2[5] -= m2 * s; + r3[5] -= m3 * s; + } + s = r1[6]; + if (0.0F != s) { + r2[6] -= m2 * s; + r3[6] -= m3 * s; + } + s = r1[7]; + if (0.0F != 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 (0.0F == r2[2]) + return 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 (0.0F == r3[3]) + return 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]; + +#undef MAT +#undef SWAP_ROWS + + return true; +} |