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-rw-r--r--src/gallium/state_trackers/vega/matrix.h462
1 files changed, 462 insertions, 0 deletions
diff --git a/src/gallium/state_trackers/vega/matrix.h b/src/gallium/state_trackers/vega/matrix.h
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+++ b/src/gallium/state_trackers/vega/matrix.h
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+/**************************************************************************
+ *
+ * Copyright 2009 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.
+ *
+ **************************************************************************/
+
+#ifndef MATRIX_H
+#define MATRIX_H
+
+#include "VG/openvg.h"
+
+#include "pipe/p_compiler.h"
+#include "util/u_math.h"
+
+#include <stdio.h>
+#include <math.h>
+
+#define floatsEqual(x, y) (fabs(x - y) <= 0.00001f * MIN2(fabs(x), fabs(y)))
+#define floatIsZero(x) (floatsEqual((x) + 1, 1))
+#define ABS(x) (fabsf(x))
+
+#define DEGREES_TO_RADIANS(d) (0.0174532925199 * (d))
+#define FLT_TO_INT(flt) float_to_int_floor(((VGuint*)&(flt))[0])
+
+static INLINE VGint float_to_int_floor(VGuint bits)
+{
+ int sign = (bits >> 31) ? -1 : 1;
+ int exp = ((bits >> 23) & 255) - 127;
+ int mant = bits & 0x007fffff;
+ int sh = 23 - exp;
+
+ /* abs(value) >= 2^31 -> clamp. */
+
+ if (exp >= 31)
+ return (VGint)((sign < 0) ? 0x80000000u : 0x7fffffffu);
+
+ /* abs(value) < 1 -> return -1 or 0. */
+
+ if (exp < 0)
+ return (sign < 0 && (exp > -127 || mant != 0)) ? -1 : 0;
+
+ /* abs(value) >= 2^23 -> shift left. */
+
+ mant |= 0x00800000;
+ if (sh <= 0)
+ return sign * (mant << -sh);
+
+ /* Negative -> add a rounding term. */
+
+ if (sign < 0)
+ mant += (1 << sh) - 1;
+
+ /* Shift right to obtain the result. */
+
+ return sign * (mant >> sh);
+}
+
+
+struct matrix {
+ VGfloat m[9];
+};
+
+static INLINE void matrix_init(struct matrix *mat,
+ const VGfloat *val)
+{
+ memcpy(mat->m, val, sizeof(VGfloat) * 9);
+}
+
+static INLINE void matrix_inits(struct matrix *mat,
+ VGfloat m11, VGfloat m12, VGfloat m13,
+ VGfloat m21, VGfloat m22, VGfloat m23,
+ VGfloat m31, VGfloat m32, VGfloat m33)
+{
+ mat->m[0] = m11; mat->m[1] = m12; mat->m[2] = m13;
+ mat->m[3] = m21; mat->m[4] = m22; mat->m[5] = m23;
+ mat->m[6] = m31; mat->m[7] = m32; mat->m[8] = m33;
+}
+
+static INLINE void matrix_load_identity(struct matrix *matrix)
+{
+ static const VGfloat identity[9] = {1.f, 0.f, 0.f,
+ 0.f, 1.f, 0.f,
+ 0.f, 0.f, 1.f};
+ memcpy(matrix->m, identity, sizeof(identity));
+}
+
+static INLINE VGboolean matrix_is_identity(struct matrix *matrix)
+{
+ return floatsEqual(matrix->m[0], 1) && floatIsZero(matrix->m[1]) &&
+ floatIsZero(matrix->m[2]) &&
+ floatIsZero(matrix->m[3]) && floatsEqual(matrix->m[4], 1) &&
+ floatIsZero(matrix->m[5]) &&
+ floatIsZero(matrix->m[6]) && floatIsZero(matrix->m[7]) &&
+ floatIsZero(matrix->m[8]);
+}
+
+static INLINE VGboolean matrix_is_affine(struct matrix *matrix)
+{
+ return floatIsZero(matrix->m[2]) && floatIsZero(matrix->m[5])
+ && floatsEqual(matrix->m[8], 1);
+}
+
+
+static INLINE void matrix_make_affine(struct matrix *matrix)
+{
+ matrix->m[2] = 0.f;
+ matrix->m[5] = 0.f;
+ matrix->m[8] = 1.f;
+}
+
+static INLINE void matrix_mult(struct matrix *dst,
+ struct matrix *src)
+{
+ VGfloat m11 = dst->m[0]*src->m[0] + dst->m[3]*src->m[1] + dst->m[6]*src->m[2];
+ VGfloat m12 = dst->m[0]*src->m[3] + dst->m[3]*src->m[4] + dst->m[6]*src->m[5];
+ VGfloat m13 = dst->m[0]*src->m[6] + dst->m[3]*src->m[7] + dst->m[6]*src->m[8];
+
+ VGfloat m21 = dst->m[1]*src->m[0] + dst->m[4]*src->m[1] + dst->m[7]*src->m[2];
+ VGfloat m22 = dst->m[1]*src->m[3] + dst->m[4]*src->m[4] + dst->m[7]*src->m[5];
+ VGfloat m23 = dst->m[1]*src->m[6] + dst->m[4]*src->m[7] + dst->m[7]*src->m[8];
+
+ VGfloat m31 = dst->m[2]*src->m[0] + dst->m[5]*src->m[1] + dst->m[8]*src->m[2];
+ VGfloat m32 = dst->m[2]*src->m[3] + dst->m[5]*src->m[4] + dst->m[8]*src->m[5];
+ VGfloat m33 = dst->m[2]*src->m[6] + dst->m[5]*src->m[7] + dst->m[8]*src->m[8];
+
+ dst->m[0] = m11; dst->m[1] = m21; dst->m[2] = m31;
+ dst->m[3] = m12; dst->m[4] = m22; dst->m[5] = m32;
+ dst->m[6] = m13; dst->m[7] = m23; dst->m[8] = m33;
+}
+
+
+static INLINE void matrix_map_point(struct matrix *mat,
+ VGfloat x, VGfloat y,
+ VGfloat *out_x, VGfloat *out_y)
+{
+ /* to be able to do matrix_map_point(m, x, y, &x, &y) use
+ * temporaries */
+ VGfloat tmp_x = x, tmp_y = y;
+
+ *out_x = mat->m[0]*tmp_x + mat->m[3]*tmp_y + mat->m[6];
+ *out_y = mat->m[1]*tmp_x + mat->m[4]*tmp_y + mat->m[7];
+ if (!matrix_is_affine(mat)) {
+ VGfloat w = 1/(mat->m[2]*tmp_x + mat->m[5]*tmp_y + mat->m[8]);
+ *out_x *= w;
+ *out_y *= w;
+ }
+}
+
+static INLINE void matrix_translate(struct matrix *dst,
+ VGfloat tx, VGfloat ty)
+{
+ if (!matrix_is_affine(dst)) {
+ struct matrix trans_matrix;
+ matrix_load_identity(&trans_matrix);
+ trans_matrix.m[6] = tx;
+ trans_matrix.m[7] = ty;
+ matrix_mult(dst, &trans_matrix);
+ } else {
+ dst->m[6] += tx*dst->m[0] + ty*dst->m[3];
+ dst->m[7] += ty*dst->m[4] + tx*dst->m[1];
+ }
+}
+
+static INLINE void matrix_scale(struct matrix *dst,
+ VGfloat sx, VGfloat sy)
+{
+ if (!matrix_is_affine(dst)) {
+ struct matrix scale_matrix;
+ matrix_load_identity(&scale_matrix);
+ scale_matrix.m[0] = sx;
+ scale_matrix.m[4] = sy;
+ matrix_mult(dst, &scale_matrix);
+ } else {
+ dst->m[0] *= sx; dst->m[1] *= sx;
+ dst->m[3] *= sy; dst->m[4] *= sy;
+ }
+}
+
+static INLINE void matrix_shear(struct matrix *dst,
+ VGfloat shx, VGfloat shy)
+{
+ struct matrix shear_matrix;
+ matrix_load_identity(&shear_matrix);
+ shear_matrix.m[1] = shy;
+ shear_matrix.m[3] = shx;
+ matrix_mult(dst, &shear_matrix);
+}
+
+static INLINE void matrix_rotate(struct matrix *dst,
+ VGfloat angle)
+{
+ struct matrix mat;
+ float sin_val = 0;
+ float cos_val = 0;
+
+
+ if (floatsEqual(angle, 90) || floatsEqual(angle, -270))
+ sin_val = 1.f;
+ else if (floatsEqual(angle, 270) || floatsEqual(angle, -90))
+ sin_val = -1.f;
+ else if (floatsEqual(angle, 180))
+ cos_val = -1.f;
+ else {
+ float radians = DEGREES_TO_RADIANS(angle);
+ sin_val = sin(radians);
+ cos_val = cos(radians);
+ }
+
+ if (!matrix_is_affine(dst)) {
+ matrix_load_identity(&mat);
+ mat.m[0] = cos_val; mat.m[1] = sin_val;
+ mat.m[3] = -sin_val; mat.m[4] = cos_val;
+
+ matrix_mult(dst, &mat);
+ } else {
+ VGfloat m11 = cos_val*dst->m[0] + sin_val*dst->m[3];
+ VGfloat m12 = cos_val*dst->m[1] + sin_val*dst->m[4];
+ VGfloat m21 = -sin_val*dst->m[0] + cos_val*dst->m[3];
+ VGfloat m22 = -sin_val*dst->m[1] + cos_val*dst->m[4];
+ dst->m[0] = m11; dst->m[1] = m12;
+ dst->m[3] = m21; dst->m[4] = m22;
+ }
+}
+
+
+static INLINE VGfloat matrix_determinant(struct matrix *mat)
+{
+ return mat->m[0]*(mat->m[8]*mat->m[4]-mat->m[7]*mat->m[5]) -
+ mat->m[3]*(mat->m[8]*mat->m[1]-mat->m[7]*mat->m[2])+
+ mat->m[6]*(mat->m[5]*mat->m[1]-mat->m[4]*mat->m[2]);
+}
+
+
+static INLINE void matrix_adjoint(struct matrix *mat)
+{
+ VGfloat h[9];
+ h[0] = mat->m[4]*mat->m[8] - mat->m[5]*mat->m[7];
+ h[3] = mat->m[5]*mat->m[6] - mat->m[3]*mat->m[8];
+ h[6] = mat->m[3]*mat->m[7] - mat->m[4]*mat->m[6];
+ h[1] = mat->m[2]*mat->m[7] - mat->m[1]*mat->m[8];
+ h[4] = mat->m[0]*mat->m[8] - mat->m[2]*mat->m[6];
+ h[7] = mat->m[1]*mat->m[6] - mat->m[0]*mat->m[7];
+ h[2] = mat->m[1]*mat->m[5] - mat->m[2]*mat->m[4];
+ h[5] = mat->m[2]*mat->m[3] - mat->m[0]*mat->m[5];
+ h[8] = mat->m[0]*mat->m[4] - mat->m[1]*mat->m[3];
+
+
+ memcpy(mat->m, h, sizeof(VGfloat) * 9);
+}
+
+static INLINE void matrix_divs(struct matrix *mat,
+ VGfloat s)
+{
+ mat->m[0] /= s;
+ mat->m[1] /= s;
+ mat->m[2] /= s;
+ mat->m[3] /= s;
+ mat->m[4] /= s;
+ mat->m[5] /= s;
+ mat->m[6] /= s;
+ mat->m[7] /= s;
+ mat->m[8] /= s;
+}
+
+static INLINE VGboolean matrix_invert(struct matrix *mat)
+{
+ VGfloat det = matrix_determinant(mat);
+
+ if (floatIsZero(det))
+ return VG_FALSE;
+
+ matrix_adjoint(mat);
+ matrix_divs(mat, det);
+ return VG_TRUE;
+}
+
+static INLINE VGboolean matrix_is_invertible(struct matrix *mat)
+{
+ return !floatIsZero(matrix_determinant(mat));
+}
+
+
+static INLINE VGboolean matrix_square_to_quad(VGfloat dx0, VGfloat dy0,
+ VGfloat dx1, VGfloat dy1,
+ VGfloat dx3, VGfloat dy3,
+ VGfloat dx2, VGfloat dy2,
+ struct matrix *mat)
+{
+ VGfloat ax = dx0 - dx1 + dx2 - dx3;
+ VGfloat ay = dy0 - dy1 + dy2 - dy3;
+
+ if (floatIsZero(ax) && floatIsZero(ay)) {
+ /* affine case */
+ matrix_inits(mat,
+ dx1 - dx0, dy1 - dy0, 0,
+ dx2 - dx1, dy2 - dy1, 0,
+ dx0, dy0, 1);
+ } else {
+ VGfloat a, b, c, d, e, f, g, h;
+ VGfloat ax1 = dx1 - dx2;
+ VGfloat ax2 = dx3 - dx2;
+ VGfloat ay1 = dy1 - dy2;
+ VGfloat ay2 = dy3 - dy2;
+
+ /* determinants */
+ VGfloat gtop = ax * ay2 - ax2 * ay;
+ VGfloat htop = ax1 * ay - ax * ay1;
+ VGfloat bottom = ax1 * ay2 - ax2 * ay1;
+
+ if (!bottom)
+ return VG_FALSE;
+
+ g = gtop / bottom;
+ h = htop / bottom;
+
+ a = dx1 - dx0 + g * dx1;
+ b = dx3 - dx0 + h * dx3;
+ c = dx0;
+ d = dy1 - dy0 + g * dy1;
+ e = dy3 - dy0 + h * dy3;
+ f = dy0;
+
+ matrix_inits(mat,
+ a, d, g,
+ b, e, h,
+ c, f, 1.f);
+ }
+
+ return VG_TRUE;
+}
+
+static INLINE VGboolean matrix_quad_to_square(VGfloat sx0, VGfloat sy0,
+ VGfloat sx1, VGfloat sy1,
+ VGfloat sx2, VGfloat sy2,
+ VGfloat sx3, VGfloat sy3,
+ struct matrix *mat)
+{
+ if (!matrix_square_to_quad(sx0, sy0, sx1, sy1,
+ sx2, sy2, sx3, sy3,
+ mat))
+ return VG_FALSE;
+
+ return matrix_invert(mat);
+}
+
+
+static INLINE VGboolean matrix_quad_to_quad(VGfloat dx0, VGfloat dy0,
+ VGfloat dx1, VGfloat dy1,
+ VGfloat dx2, VGfloat dy2,
+ VGfloat dx3, VGfloat dy3,
+ VGfloat sx0, VGfloat sy0,
+ VGfloat sx1, VGfloat sy1,
+ VGfloat sx2, VGfloat sy2,
+ VGfloat sx3, VGfloat sy3,
+ struct matrix *mat)
+{
+ struct matrix sqr_to_qd;
+
+ if (!matrix_square_to_quad(dx0, dy0, dx1, dy1,
+ dx2, dy2, dx3, dy3,
+ mat))
+ return VG_FALSE;
+
+ if (!matrix_quad_to_square(sx0, sy0, sx1, sy1,
+ sx2, sy2, sx3, sy3,
+ &sqr_to_qd))
+ return VG_FALSE;
+
+ matrix_mult(mat, &sqr_to_qd);
+
+ return VG_TRUE;
+}
+
+
+static INLINE VGboolean null_line(const VGfloat *l)
+{
+ return floatsEqual(l[0], l[2]) && floatsEqual(l[1], l[3]);
+}
+
+static INLINE void line_normal(float *l, float *norm)
+{
+ norm[0] = l[0];
+ norm[1] = l[1];
+
+ norm[2] = l[0] + (l[3] - l[1]);
+ norm[3] = l[1] - (l[2] - l[0]);
+}
+
+static INLINE void line_normalize(float *l)
+{
+ float x = l[2] - l[0];
+ float y = l[3] - l[1];
+ float len = sqrt(x*x + y*y);
+ l[2] = l[0] + x/len;
+ l[3] = l[1] + y/len;
+}
+
+static INLINE VGfloat line_length(VGfloat x1, VGfloat y1,
+ VGfloat x2, VGfloat y2)
+{
+ VGfloat x = x2 - x1;
+ VGfloat y = y2 - y1;
+ return sqrt(x*x + y*y);
+}
+
+static INLINE VGfloat line_lengthv(const VGfloat *l)
+{
+ VGfloat x = l[2] - l[0];
+ VGfloat y = l[3] - l[1];
+ return sqrt(x*x + y*y);
+}
+
+
+static INLINE void line_point_at(float *l, float t, float *pt)
+{
+ float dx = l[2] - l[0];
+ float dy = l[3] - l[1];
+
+ pt[0] = l[0] + dx * t;
+ pt[1] = l[1] + dy * t;
+}
+
+static INLINE void vector_unit(float *vec)
+{
+ float len = sqrt(vec[0] * vec[0] + vec[1] * vec[1]);
+ vec[0] /= len;
+ vec[1] /= len;
+}
+
+static INLINE void line_normal_vector(float *line, float *vec)
+{
+ VGfloat normal[4];
+
+ line_normal(line, normal);
+
+ vec[0] = normal[2] - normal[0];
+ vec[1] = normal[3] - normal[1];
+
+ vector_unit(vec);
+}
+
+#endif
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