guest/mesa/src/util/u_math.c - platform/hardware/google/gfxstream - Git at Google

 /**************************************************************************
  *
  * 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 "util/detect.h"
 #include "util/u_math.h"
 #include "util/u_cpu_detect.h"

 #if DETECT_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 DETECT_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 DETECT_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 DETECT_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 [email protected]
  *
  * 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;
 }
	/**************************************************************************
	*
	* 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 "util/detect.h"
	#include "util/u_math.h"
	#include "util/u_cpu_detect.h"

	#if DETECT_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 DETECT_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 DETECT_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 DETECT_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 [email protected]
	*
	* 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;
	}