+++ /dev/null
-/*
-Copyright (C) 2001-2006, William Joseph.
-All Rights Reserved.
-
-This file is part of GtkRadiant.
-
-GtkRadiant is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-GtkRadiant is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License
-along with GtkRadiant; if not, write to the Free Software
-Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
-*/
-
-#include "mathlib.h"
-
-const m4x4_t g_m4x4_identity = {
- 1, 0, 0, 0,
- 0, 1, 0, 0,
- 0, 0, 1, 0,
- 0, 0, 0, 1,
-};
-
-void m4x4_identity(m4x4_t matrix)
-{
- matrix[1] = matrix[2] = matrix[3] =
- matrix[4] = matrix[6] = matrix[7] =
- matrix[8] = matrix[9] = matrix[11] =
- matrix[12] = matrix[13] = matrix[14] = 0;
-
- matrix[0] = matrix[5] = matrix[10] = matrix[15] = 1;
-}
-
-m4x4Handedness_t m4x4_handedness(const m4x4_t matrix)
-{
- vec3_t cross;
- CrossProduct(matrix+0, matrix+4, cross);
- return (DotProduct(matrix+8, cross) < 0) ? eLeftHanded : eRightHanded;
-}
-
-void m4x4_assign(m4x4_t matrix, const m4x4_t other)
-{
- M4X4_COPY(matrix, other);
-}
-
-void m4x4_translation_for_vec3(m4x4_t matrix, const vec3_t translation)
-{
- matrix[1] = matrix[2] = matrix[3] =
- matrix[4] = matrix[6] = matrix[7] =
- matrix[8] = matrix[9] = matrix[11] = 0;
-
- matrix[0] = matrix[5] = matrix[10] = matrix[15] = 1;
-
- matrix[12] = translation[0];
- matrix[13] = translation[1];
- matrix[14] = translation[2];
-}
-
-/*
-clockwise rotation around X, Y, Z, facing along axis
- 1 0 0 cy 0 sy cz sz 0
- 0 cx sx 0 1 0 -sz cz 0
- 0 -sx cx -sy 0 cy 0 0 1
-
-rows of Z by cols of Y
- cy*cz -sy*cz+sz -sy*sz+cz
--sz*cy -sz*sy+cz
-
- .. or something like that..
-
-final rotation is Z * Y * X
- cy*cz -sx*-sy*cz+cx*sz cx*-sy*sz+sx*cz
--cy*sz sx*sy*sz+cx*cz -cx*-sy*sz+sx*cz
- sy -sx*cy cx*cy
-*/
-
-/* transposed
-| cy.cz + 0.sz + sy.0 cy.-sz + 0 .cz + sy.0 cy.0 + 0 .0 + sy.1 |
-| sx.sy.cz + cx.sz + -sx.cy.0 sx.sy.-sz + cx.cz + -sx.cy.0 sx.sy.0 + cx.0 + -sx.cy.1 |
-| -cx.sy.cz + sx.sz + cx.cy.0 -cx.sy.-sz + sx.cz + cx.cy.0 -cx.sy.0 + 0 .0 + cx.cy.1 |
-*/
-void m4x4_rotation_for_vec3(m4x4_t matrix, const vec3_t euler, eulerOrder_t order)
-{
- double cx, sx, cy, sy, cz, sz;
-
- cx = cos(DEG2RAD(euler[0]));
- sx = sin(DEG2RAD(euler[0]));
- cy = cos(DEG2RAD(euler[1]));
- sy = sin(DEG2RAD(euler[1]));
- cz = cos(DEG2RAD(euler[2]));
- sz = sin(DEG2RAD(euler[2]));
-
- switch(order)
- {
- case eXYZ:
-
-#if 1
-
- {
- matrix[0] = (vec_t)(cy*cz);
- matrix[1] = (vec_t)(cy*sz);
- matrix[2] = (vec_t)-sy;
- matrix[4] = (vec_t)(sx*sy*cz + cx*-sz);
- matrix[5] = (vec_t)(sx*sy*sz + cx*cz);
- matrix[6] = (vec_t)(sx*cy);
- matrix[8] = (vec_t)(cx*sy*cz + sx*sz);
- matrix[9] = (vec_t)(cx*sy*sz + -sx*cz);
- matrix[10] = (vec_t)(cx*cy);
- }
-
- matrix[12] = matrix[13] = matrix[14] = matrix[3] = matrix[7] = matrix[11] = 0;
- matrix[15] = 1;
-
-#else
-
- m4x4_identity(matrix);
- matrix[5] =(vec_t) cx; matrix[6] =(vec_t) sx;
- matrix[9] =(vec_t)-sx; matrix[10]=(vec_t) cx;
-
- {
- m4x4_t temp;
- m4x4_identity(temp);
- temp[0] =(vec_t) cy; temp[2] =(vec_t)-sy;
- temp[8] =(vec_t) sy; temp[10]=(vec_t) cy;
- m4x4_premultiply_by_m4x4(matrix, temp);
- m4x4_identity(temp);
- temp[0] =(vec_t) cz; temp[1] =(vec_t) sz;
- temp[4] =(vec_t)-sz; temp[5] =(vec_t) cz;
- m4x4_premultiply_by_m4x4(matrix, temp);
- }
-#endif
-
- break;
-
- case eYZX:
- m4x4_identity(matrix);
- matrix[0] =(vec_t) cy; matrix[2] =(vec_t)-sy;
- matrix[8] =(vec_t) sy; matrix[10]=(vec_t) cy;
-
- {
- m4x4_t temp;
- m4x4_identity(temp);
- temp[5] =(vec_t) cx; temp[6] =(vec_t) sx;
- temp[9] =(vec_t)-sx; temp[10]=(vec_t) cx;
- m4x4_premultiply_by_m4x4(matrix, temp);
- m4x4_identity(temp);
- temp[0] =(vec_t) cz; temp[1] =(vec_t) sz;
- temp[4] =(vec_t)-sz; temp[5] =(vec_t) cz;
- m4x4_premultiply_by_m4x4(matrix, temp);
- }
- break;
-
- case eZXY:
- m4x4_identity(matrix);
- matrix[0] =(vec_t) cz; matrix[1] =(vec_t) sz;
- matrix[4] =(vec_t)-sz; matrix[5] =(vec_t) cz;
-
- {
- m4x4_t temp;
- m4x4_identity(temp);
- temp[5] =(vec_t) cx; temp[6] =(vec_t) sx;
- temp[9] =(vec_t)-sx; temp[10]=(vec_t) cx;
- m4x4_premultiply_by_m4x4(matrix, temp);
- m4x4_identity(temp);
- temp[0] =(vec_t) cy; temp[2] =(vec_t)-sy;
- temp[8] =(vec_t) sy; temp[10]=(vec_t) cy;
- m4x4_premultiply_by_m4x4(matrix, temp);
- }
- break;
-
- case eXZY:
- m4x4_identity(matrix);
- matrix[5] =(vec_t) cx; matrix[6] =(vec_t) sx;
- matrix[9] =(vec_t)-sx; matrix[10]=(vec_t) cx;
-
- {
- m4x4_t temp;
- m4x4_identity(temp);
- temp[0] =(vec_t) cz; temp[1] =(vec_t) sz;
- temp[4] =(vec_t)-sz; temp[5] =(vec_t) cz;
- m4x4_premultiply_by_m4x4(matrix, temp);
- m4x4_identity(temp);
- temp[0] =(vec_t) cy; temp[2] =(vec_t)-sy;
- temp[8] =(vec_t) sy; temp[10]=(vec_t) cy;
- m4x4_premultiply_by_m4x4(matrix, temp);
- }
- break;
-
- case eYXZ:
-
-/* transposed
-| cy.cz + sx.sy.-sz + -cx.sy.0 0.cz + cx.-sz + sx.0 sy.cz + -sx.cy.-sz + cx.cy.0 |
-| cy.sz + sx.sy.cz + -cx.sy.0 0.sz + cx.cz + sx.0 sy.sz + -sx.cy.cz + cx.cy.0 |
-| cy.0 + sx.sy.0 + -cx.sy.1 0.0 + cx.0 + sx.1 sy.0 + -sx.cy.0 + cx.cy.1 |
-*/
-
-#if 1
-
- {
- matrix[0] = (vec_t)(cy*cz + sx*sy*-sz);
- matrix[1] = (vec_t)(cy*sz + sx*sy*cz);
- matrix[2] = (vec_t)(-cx*sy);
- matrix[4] = (vec_t)(cx*-sz);
- matrix[5] = (vec_t)(cx*cz);
- matrix[6] = (vec_t)(sx);
- matrix[8] = (vec_t)(sy*cz + -sx*cy*-sz);
- matrix[9] = (vec_t)(sy*sz + -sx*cy*cz);
- matrix[10] = (vec_t)(cx*cy);
- }
-
- matrix[12] = matrix[13] = matrix[14] = matrix[3] = matrix[7] = matrix[11] = 0;
- matrix[15] = 1;
-
-#else
-
- m4x4_identity(matrix);
- matrix[0] =(vec_t) cy; matrix[2] =(vec_t)-sy;
- matrix[8] =(vec_t) sy; matrix[10]=(vec_t) cy;
-
- {
- m4x4_t temp;
- m4x4_identity(temp);
- temp[5] =(vec_t) cx; temp[6] =(vec_t) sx;
- temp[9] =(vec_t)-sx; temp[10]=(vec_t) cx;
- m4x4_premultiply_by_m4x4(matrix, temp);
- m4x4_identity(temp);
- temp[0] =(vec_t) cz; temp[1] =(vec_t) sz;
- temp[4] =(vec_t)-sz; temp[5] =(vec_t) cz;
- m4x4_premultiply_by_m4x4(matrix, temp);
- }
-#endif
- break;
-
- case eZYX:
-#if 1
-
- {
- matrix[0] = (vec_t)(cy*cz);
- matrix[4] = (vec_t)(cy*-sz);
- matrix[8] = (vec_t)sy;
- matrix[1] = (vec_t)(sx*sy*cz + cx*sz);
- matrix[5] = (vec_t)(sx*sy*-sz + cx*cz);
- matrix[9] = (vec_t)(-sx*cy);
- matrix[2] = (vec_t)(cx*-sy*cz + sx*sz);
- matrix[6] = (vec_t)(cx*-sy*-sz + sx*cz);
- matrix[10] = (vec_t)(cx*cy);
- }
-
- matrix[12] = matrix[13] = matrix[14] = matrix[3] = matrix[7] = matrix[11] = 0;
- matrix[15] = 1;
-
-#else
-
- m4x4_identity(matrix);
- matrix[0] =(vec_t) cz; matrix[1] =(vec_t) sz;
- matrix[4] =(vec_t)-sz; matrix[5] =(vec_t) cz;
- {
- m4x4_t temp;
- m4x4_identity(temp);
- temp[0] =(vec_t) cy; temp[2] =(vec_t)-sy;
- temp[8] =(vec_t) sy; temp[10]=(vec_t) cy;
- m4x4_premultiply_by_m4x4(matrix, temp);
- m4x4_identity(temp);
- temp[5] =(vec_t) cx; temp[6] =(vec_t) sx;
- temp[9] =(vec_t)-sx; temp[10]=(vec_t) cx;
- m4x4_premultiply_by_m4x4(matrix, temp);
- }
-
-#endif
- break;
-
- }
-}
-
-void m4x4_scale_for_vec3(m4x4_t matrix, const vec3_t scale)
-{
- matrix[1] = matrix[2] = matrix[3] =
- matrix[4] = matrix[6] = matrix[7] =
- matrix[8] = matrix[9] = matrix[11] =
- matrix[12] = matrix[13] = matrix[14] = 0;
-
- matrix[15] = 1;
-
- matrix[0] = scale[0];
- matrix[5] = scale[1];
- matrix[10] = scale[2];
-}
-
-void m4x4_rotation_for_quat(m4x4_t matrix, const vec4_t quat)
-{
-#if 0
- const double xx = quat[0] * quat[0];
- const double xy = quat[0] * quat[1];
- const double xz = quat[0] * quat[2];
- const double xw = quat[0] * quat[3];
-
- const double yy = quat[1] * quat[1];
- const double yz = quat[1] * quat[2];
- const double yw = quat[1] * quat[3];
-
- const double zz = quat[2] * quat[2];
- const double zw = quat[2] * quat[3];
-
- matrix[0] = 1 - 2 * ( yy + zz );
- matrix[4] = 2 * ( xy - zw );
- matrix[8] = 2 * ( xz + yw );
-
- matrix[1] = 2 * ( xy + zw );
- matrix[5] = 1 - 2 * ( xx + zz );
- matrix[9] = 2 * ( yz - xw );
-
- matrix[2] = 2 * ( xz - yw );
- matrix[6] = 2 * ( yz + xw );
- matrix[10] = 1 - 2 * ( xx + yy );
-#else
- const double x2 = quat[0] + quat[0];
- const double y2 = quat[1] + quat[1];
- const double z2 = quat[2] + quat[2];
- const double xx = quat[0] * x2;
- const double xy = quat[0] * y2;
- const double xz = quat[0] * z2;
- const double yy = quat[1] * y2;
- const double yz = quat[1] * z2;
- const double zz = quat[2] * z2;
- const double wx = quat[3] * x2;
- const double wy = quat[3] * y2;
- const double wz = quat[3] * z2;
-
- matrix[0] = (vec_t)( 1.0 - (yy + zz) );
- matrix[4] = (vec_t)(xy - wz);
- matrix[8] = (vec_t)(xz + wy);
-
- matrix[1] = (vec_t)(xy + wz);
- matrix[5] = (vec_t)( 1.0 - (xx + zz) );
- matrix[9] = (vec_t)(yz - wx);
-
- matrix[2] = (vec_t)(xz - wy);
- matrix[6] = (vec_t)(yz + wx);
- matrix[10] = (vec_t)( 1.0 - (xx + yy) );
-#endif
-
- matrix[3] = matrix[7] = matrix[11] = matrix[12] = matrix[13] = matrix[14] = 0;
- matrix[15] = 1;
-}
-
-void m4x4_rotation_for_axisangle(m4x4_t matrix, const vec3_t axis, double angle)
-{
- vec4_t quat;
- quat_for_axisangle(quat, axis, angle);
- m4x4_rotation_for_quat(matrix, quat);
-}
-
-void m4x4_frustum(m4x4_t matrix,
- vec_t left, vec_t right,
- vec_t bottom, vec_t top,
- vec_t nearval, vec_t farval)
-{
- matrix[0] = (vec_t)( (2*nearval) / (right-left) );
- matrix[1] = 0;
- matrix[2] = 0;
- matrix[3] = 0;
-
- matrix[4] = 0;
- matrix[5] = (vec_t)( (2*nearval) / (top-bottom) );
- matrix[6] = 0;
- matrix[7] = 0;
-
- matrix[8] = (vec_t)( (right+left) / (right-left) );
- matrix[9] = (vec_t)( (top+bottom) / (top-bottom) );
- matrix[10] = (vec_t)( -(farval+nearval) / (farval-nearval) );
- matrix[11] =-1;
-
- matrix[12] = 0;
- matrix[13] = 0;
- matrix[14] = (vec_t)( -(2*farval*nearval) / (farval-nearval) );
- matrix[15] = 0;
-}
-
-
-void m4x4_get_translation_vec3(const m4x4_t matrix, vec3_t translation)
-{
- translation[0] = matrix[12];
- translation[1] = matrix[13];
- translation[2] = matrix[14];
-}
-
-void m4x4_get_rotation_vec3(const m4x4_t matrix, vec3_t euler, eulerOrder_t order)
-{
- double a, ca;
-
- switch(order)
- {
- case eXYZ:
- a = asin(-matrix[2]);
- ca = cos(a);
- euler[1] = (vec_t)RAD2DEG(a); /* Calculate Y-axis angle */
-
- if (fabs(ca) > 0.005) /* Gimbal lock? */
- {
- /* No, so get Z-axis angle */
- euler[2] = (vec_t)RAD2DEG(atan2(matrix[1] / ca, matrix[0]/ ca));
-
- /* Get X-axis angle */
- euler[0] = (vec_t)RAD2DEG(atan2(matrix[6] / ca, matrix[10] / ca));
- }
- else /* Gimbal lock has occurred */
- {
- /* Set Z-axis angle to zero */
- euler[2] = 0;
-
- /* And calculate X-axis angle */
- euler[0] = (vec_t)RAD2DEG(atan2(-matrix[9], matrix[5]));
- }
- break;
- case eYZX:
- /* NOT IMPLEMENTED */
- break;
- case eZXY:
- /* NOT IMPLEMENTED */
- break;
- case eXZY:
- /* NOT IMPLEMENTED */
- break;
- case eYXZ:
- a = asin(matrix[6]);
- ca = cos(a);
- euler[0] = (vec_t)RAD2DEG(a); /* Calculate X-axis angle */
-
- if (fabs(ca) > 0.005) /* Gimbal lock? */
- {
- /* No, so get Y-axis angle */
- euler[1] = (vec_t)RAD2DEG(atan2(-matrix[2] / ca, matrix[10]/ ca));
-
- /* Get Z-axis angle */
- euler[2] = (vec_t)RAD2DEG(atan2(-matrix[4] / ca, matrix[5] / ca));
- }
- else /* Gimbal lock has occurred */
- {
- /* Set Z-axis angle to zero */
- euler[2] = 0;
-
- /* And calculate Y-axis angle */
- euler[1] = (vec_t)RAD2DEG(atan2(matrix[8], matrix[0]));
- }
- break;
- case eZYX:
- a = asin(matrix[8]);
- ca = cos(a);
- euler[1] = (vec_t)RAD2DEG(a); /* Calculate Y-axis angle */
-
- if (fabs(ca) > 0.005) /* Gimbal lock? */
- {
- /* No, so get X-axis angle */
- euler[0] = (vec_t)RAD2DEG(atan2(-matrix[9] / ca, matrix[10]/ ca));
-
- /* Get Z-axis angle */
- euler[2] = (vec_t)RAD2DEG(atan2(-matrix[4] / ca, matrix[0] / ca));
- }
- else /* Gimbal lock has occurred */
- {
- /* Set X-axis angle to zero */
- euler[0] = 0;
-
- /* And calculate Z-axis angle */
- euler[2] = (vec_t)RAD2DEG(atan2(matrix[1], matrix[5]));
- }
- break;
- }
-
- /* return only positive angles in [0,360] */
- if (euler[0] < 0) euler[0] += 360;
- if (euler[1] < 0) euler[1] += 360;
- if (euler[2] < 0) euler[2] += 360;
-}
-
-void m4x4_get_scale_vec3(const m4x4_t matrix, vec3_t scale)
-{
- scale[0] = VectorLength(matrix+0);
- scale[1] = VectorLength(matrix+4);
- scale[2] = VectorLength(matrix+8);
-}
-
-void m4x4_get_transform_vec3(const m4x4_t matrix, vec3_t translation, vec3_t euler, eulerOrder_t order, vec3_t scale)
-{
- m4x4_t normalised;
- m4x4_assign(normalised, matrix);
- scale[0] = VectorNormalize(normalised+0, normalised+0);
- scale[1] = VectorNormalize(normalised+4, normalised+4);
- scale[2] = VectorNormalize(normalised+8, normalised+8);
- if(m4x4_handedness(normalised) == eLeftHanded)
- {
- VectorNegate(normalised+0, normalised+0);
- VectorNegate(normalised+4, normalised+4);
- VectorNegate(normalised+8, normalised+8);
- scale[0] = -scale[0];
- scale[1] = -scale[1];
- scale[2] = -scale[2];
- }
- m4x4_get_rotation_vec3(normalised, euler, order);
- m4x4_get_translation_vec3(matrix, translation);
-}
-
-void m4x4_translate_by_vec3(m4x4_t matrix, const vec3_t translation)
-{
- m4x4_t temp;
- m4x4_translation_for_vec3(temp, translation);
- m4x4_multiply_by_m4x4(matrix, temp);
-}
-
-void m4x4_rotate_by_vec3(m4x4_t matrix, const vec3_t euler, eulerOrder_t order)
-{
- m4x4_t temp;
- m4x4_rotation_for_vec3(temp, euler, order);
- m4x4_multiply_by_m4x4(matrix, temp);
-}
-
-void m4x4_scale_by_vec3(m4x4_t matrix, const vec3_t scale)
-{
- m4x4_t temp;
- m4x4_scale_for_vec3(temp, scale);
- m4x4_multiply_by_m4x4(matrix, temp);
-}
-
-void m4x4_rotate_by_quat(m4x4_t matrix, const vec4_t rotation)
-{
- m4x4_t temp;
- m4x4_rotation_for_quat(temp, rotation);
- m4x4_multiply_by_m4x4(matrix, temp);
-}
-
-void m4x4_rotate_by_axisangle(m4x4_t matrix, const vec3_t axis, double angle)
-{
- m4x4_t temp;
- m4x4_rotation_for_axisangle(temp, axis, angle);
- m4x4_multiply_by_m4x4(matrix, temp);
-}
-
-void m4x4_transform_by_vec3(m4x4_t matrix, const vec3_t translation, const vec3_t euler, eulerOrder_t order, const vec3_t scale)
-{
- m4x4_translate_by_vec3(matrix, translation);
- m4x4_rotate_by_vec3(matrix, euler, order);
- m4x4_scale_by_vec3(matrix, scale);
-}
-
-void m4x4_pivoted_rotate_by_vec3(m4x4_t matrix, const vec3_t euler, eulerOrder_t order, const vec3_t pivotpoint)
-{
- vec3_t vec3_temp;
- VectorNegate(pivotpoint, vec3_temp);
-
- m4x4_translate_by_vec3(matrix, pivotpoint);
- m4x4_rotate_by_vec3(matrix, euler, order);
- m4x4_translate_by_vec3(matrix, vec3_temp);
-}
-
-void m4x4_pivoted_scale_by_vec3(m4x4_t matrix, const vec3_t scale, const vec3_t pivotpoint)
-{
- vec3_t vec3_temp;
- VectorNegate(pivotpoint, vec3_temp);
-
- m4x4_translate_by_vec3(matrix, pivotpoint);
- m4x4_scale_by_vec3(matrix, scale);
- m4x4_translate_by_vec3(matrix, vec3_temp);
-}
-
-void m4x4_pivoted_transform_by_vec3(m4x4_t matrix, const vec3_t translation, const vec3_t euler, eulerOrder_t order, const vec3_t scale, const vec3_t pivotpoint)
-{
- vec3_t vec3_temp;
-
- VectorAdd(pivotpoint, translation, vec3_temp);
- m4x4_translate_by_vec3(matrix, vec3_temp);
- m4x4_rotate_by_vec3(matrix, euler, order);
- m4x4_scale_by_vec3(matrix, scale);
- VectorNegate(pivotpoint, vec3_temp);
- m4x4_translate_by_vec3(matrix, vec3_temp);
-}
-
-void m4x4_pivoted_transform_by_rotation(m4x4_t matrix, const vec3_t translation, const m4x4_t rotation, const vec3_t scale, const vec3_t pivotpoint)
-{
- vec3_t vec3_temp;
-
- VectorAdd(pivotpoint, translation, vec3_temp);
- m4x4_translate_by_vec3(matrix, vec3_temp);
- m4x4_multiply_by_m4x4(matrix, rotation);
- m4x4_scale_by_vec3(matrix, scale);
- VectorNegate(pivotpoint, vec3_temp);
- m4x4_translate_by_vec3(matrix, vec3_temp);
-}
-
-void m4x4_pivoted_rotate_by_quat(m4x4_t matrix, const vec4_t rotation, const vec3_t pivotpoint)
-{
- vec3_t vec3_temp;
- VectorNegate(pivotpoint, vec3_temp);
-
- m4x4_translate_by_vec3(matrix, pivotpoint);
- m4x4_rotate_by_quat(matrix, rotation);
- m4x4_translate_by_vec3(matrix, vec3_temp);
-}
-
-void m4x4_pivoted_rotate_by_axisangle(m4x4_t matrix, const vec3_t axis, double angle, const vec3_t pivotpoint)
-{
- vec3_t vec3_temp;
- VectorNegate(pivotpoint, vec3_temp);
-
- m4x4_translate_by_vec3(matrix, pivotpoint);
- m4x4_rotate_by_axisangle(matrix, axis, angle);
- m4x4_translate_by_vec3(matrix, vec3_temp);
-}
-
-/*
-A = A.B
-
-A0 = B0 * A0 + B1 * A4 + B2 * A8 + B3 * A12
-A4 = B4 * A0 + B5 * A4 + B6 * A8 + B7 * A12
-A8 = B8 * A0 + B9 * A4 + B10* A8 + B11* A12
-A12= B12* A0 + B13* A4 + B14* A8 + B15* A12
-
-A1 = B0 * A1 + B1 * A5 + B2 * A9 + B3 * A13
-A5 = B4 * A1 + B5 * A5 + B6 * A9 + B7 * A13
-A9 = B8 * A1 + B9 * A5 + B10* A9 + B11* A13
-A13= B12* A1 + B13* A5 + B14* A9 + B15* A13
-
-A2 = B0 * A2 + B1 * A6 + B2 * A10+ B3 * A14
-A6 = B4 * A2 + B5 * A6 + B6 * A10+ B7 * A14
-A10= B8 * A2 + B9 * A6 + B10* A10+ B11* A14
-A14= B12* A2 + B13* A6 + B14* A10+ B15* A14
-
-A3 = B0 * A3 + B1 * A7 + B2 * A11+ B3 * A15
-A7 = B4 * A3 + B5 * A7 + B6 * A11+ B7 * A15
-A11= B8 * A3 + B9 * A7 + B10* A11+ B11* A15
-A15= B12* A3 + B13* A7 + B14* A11+ B15* A15
-*/
-
-void m4x4_multiply_by_m4x4(m4x4_t dst, const m4x4_t src)
-{
- vec_t dst0, dst1, dst2, dst3;
-
-#if 1
-
- dst0 = src[0] * dst[0] + src[1] * dst[4] + src[2] * dst[8] + src[3] * dst[12];
- dst1 = src[4] * dst[0] + src[5] * dst[4] + src[6] * dst[8] + src[7] * dst[12];
- dst2 = src[8] * dst[0] + src[9] * dst[4] + src[10]* dst[8] + src[11]* dst[12];
- dst3 = src[12]* dst[0] + src[13]* dst[4] + src[14]* dst[8] + src[15]* dst[12];
- dst[0] = dst0; dst[4] = dst1; dst[8] = dst2; dst[12]= dst3;
-
- dst0 = src[0] * dst[1] + src[1] * dst[5] + src[2] * dst[9] + src[3] * dst[13];
- dst1 = src[4] * dst[1] + src[5] * dst[5] + src[6] * dst[9] + src[7] * dst[13];
- dst2 = src[8] * dst[1] + src[9] * dst[5] + src[10]* dst[9] + src[11]* dst[13];
- dst3 = src[12]* dst[1] + src[13]* dst[5] + src[14]* dst[9] + src[15]* dst[13];
- dst[1] = dst0; dst[5] = dst1; dst[9] = dst2; dst[13]= dst3;
-
- dst0 = src[0] * dst[2] + src[1] * dst[6] + src[2] * dst[10]+ src[3] * dst[14];
- dst1 = src[4] * dst[2] + src[5] * dst[6] + src[6] * dst[10]+ src[7] * dst[14];
- dst2 = src[8] * dst[2] + src[9] * dst[6] + src[10]* dst[10]+ src[11]* dst[14];
- dst3 = src[12]* dst[2] + src[13]* dst[6] + src[14]* dst[10]+ src[15]* dst[14];
- dst[2] = dst0; dst[6] = dst1; dst[10]= dst2; dst[14]= dst3;
-
- dst0 = src[0] * dst[3] + src[1] * dst[7] + src[2] * dst[11]+ src[3] * dst[15];
- dst1 = src[4] * dst[3] + src[5] * dst[7] + src[6] * dst[11]+ src[7] * dst[15];
- dst2 = src[8] * dst[3] + src[9] * dst[7] + src[10]* dst[11]+ src[11]* dst[15];
- dst3 = src[12]* dst[3] + src[13]* dst[7] + src[14]* dst[11]+ src[15]* dst[15];
- dst[3] = dst0; dst[7] = dst1; dst[11]= dst2; dst[15]= dst3;
-
-#else
-
- vec_t * p = dst;
- for(int i=0;i<4;i++)
- {
- dst1 = src[0] * p[0];
- dst1 += src[1] * p[4];
- dst1 += src[2] * p[8];
- dst1 += src[3] * p[12];
- dst2 = src[4] * p[0];
- dst2 += src[5] * p[4];
- dst2 += src[6] * p[8];
- dst2 += src[7] * p[12];
- dst3 = src[8] * p[0];
- dst3 += src[9] * p[4];
- dst3 += src[10] * p[8];
- dst3 += src[11] * p[12];
- dst4 = src[12] * p[0];
- dst4 += src[13] * p[4];
- dst4 += src[14] * p[8];
- dst4 += src[15] * p[12];
-
- p[0] = dst1;
- p[4] = dst2;
- p[8] = dst3;
- p[12] = dst4;
- p++;
- }
-
-#endif
-}
-
-/*
-A = B.A
-
-A0 = A0 * B0 + A1 * B4 + A2 * B8 + A3 * B12
-A1 = A0 * B1 + A1 * B5 + A2 * B9 + A3 * B13
-A2 = A0 * B2 + A1 * B6 + A2 * B10+ A3 * B14
-A3 = A0 * B3 + A1 * B7 + A2 * B11+ A3 * B15
-
-A4 = A4 * B0 + A5 * B4 + A6 * B8 + A7 * B12
-A5 = A4 * B1 + A5 * B5 + A6 * B9 + A7 * B13
-A6 = A4 * B2 + A5 * B6 + A6 * B10+ A7 * B14
-A7 = A4 * B3 + A5 * B7 + A6 * B11+ A7 * B15
-
-A8 = A8 * B0 + A9 * B4 + A10* B8 + A11* B12
-A9 = A8 * B1 + A9 * B5 + A10* B9 + A11* B13
-A10= A8 * B2 + A9 * B6 + A10* B10+ A11* B14
-A11= A8 * B3 + A9 * B7 + A10* B11+ A11* B15
-
-A12= A12* B0 + A13* B4 + A14* B8 + A15* B12
-A13= A12* B1 + A13* B5 + A14* B9 + A15* B13
-A14= A12* B2 + A13* B6 + A14* B10+ A15* B14
-A15= A12* B3 + A13* B7 + A14* B11+ A15* B15
-*/
-
-void m4x4_premultiply_by_m4x4(m4x4_t dst, const m4x4_t src)
-{
- vec_t dst0, dst1, dst2, dst3;
-
-#if 1
-
- dst0 = dst[0] * src[0] + dst[1] * src[4] + dst[2] * src[8] + dst[3] * src[12];
- dst1 = dst[0] * src[1] + dst[1] * src[5] + dst[2] * src[9] + dst[3] * src[13];
- dst2 = dst[0] * src[2] + dst[1] * src[6] + dst[2] * src[10]+ dst[3] * src[14];
- dst3 = dst[0] * src[3] + dst[1] * src[7] + dst[2] * src[11]+ dst[3] * src[15];
- dst[0] = dst0; dst[1] = dst1; dst[2] = dst2; dst[3]= dst3;
-
- dst0 = dst[4] * src[0] + dst[5] * src[4] + dst[6] * src[8] + dst[7] * src[12];
- dst1 = dst[4] * src[1] + dst[5] * src[5] + dst[6] * src[9] + dst[7] * src[13];
- dst2 = dst[4] * src[2] + dst[5] * src[6] + dst[6] * src[10]+ dst[7] * src[14];
- dst3 = dst[4] * src[3] + dst[5] * src[7] + dst[6] * src[11]+ dst[7] * src[15];
- dst[4] = dst0; dst[5] = dst1; dst[6] = dst2; dst[7]= dst3;
-
- dst0 = dst[8] * src[0] + dst[9] * src[4] + dst[10]* src[8] + dst[11]* src[12];
- dst1 = dst[8] * src[1] + dst[9] * src[5] + dst[10]* src[9] + dst[11]* src[13];
- dst2 = dst[8] * src[2] + dst[9] * src[6] + dst[10]* src[10]+ dst[11]* src[14];
- dst3 = dst[8] * src[3] + dst[9] * src[7] + dst[10]* src[11]+ dst[11]* src[15];
- dst[8] = dst0; dst[9] = dst1; dst[10] = dst2; dst[11]= dst3;
-
- dst0 = dst[12]* src[0] + dst[13]* src[4] + dst[14]* src[8] + dst[15]* src[12];
- dst1 = dst[12]* src[1] + dst[13]* src[5] + dst[14]* src[9] + dst[15]* src[13];
- dst2 = dst[12]* src[2] + dst[13]* src[6] + dst[14]* src[10]+ dst[15]* src[14];
- dst3 = dst[12]* src[3] + dst[13]* src[7] + dst[14]* src[11]+ dst[15]* src[15];
- dst[12] = dst0; dst[13] = dst1; dst[14] = dst2; dst[15]= dst3;
-
-#else
-
- vec_t* p = dst;
- for(int i=0;i<4;i++)
- {
- dst1 = src[0] * p[0];
- dst2 = src[1] * p[0];
- dst3 = src[2] * p[0];
- dst4 = src[3] * p[0];
- dst1 += src[4] * p[1];
- dst2 += src[5] * p[1];
- dst3 += src[6] * p[1];
- dst4 += src[7] * p[1];
- dst1 += src[8] * p[2];
- dst2 += src[9] * p[2];
- dst4 += src[11] * p[2];
- dst3 += src[10] * p[2];
- dst1 += src[12] * p[3];
- dst2 += src[13] * p[3];
- dst3 += src[14] * p[3];
- dst4 += src[15] * p[3];
-
- *p++ = dst1;
- *p++ = dst2;
- *p++ = dst3;
- *p++ = dst4;
- }
-
-#endif
-}
-
-void m4x4_orthogonal_multiply_by_m4x4(m4x4_t dst, const m4x4_t src)
-{
- vec_t dst0, dst1, dst2, dst3;
-
- dst0 = src[0] * dst[0] + src[1] * dst[4] + src[2] * dst[8];
- dst1 = src[4] * dst[0] + src[5] * dst[4] + src[6] * dst[8];
- dst2 = src[8] * dst[0] + src[9] * dst[4] + src[10]* dst[8];
- dst3 = src[12]* dst[0] + src[13]* dst[4] + src[14]* dst[8] + dst[12];
- dst[0] = dst0; dst[4] = dst1; dst[8] = dst2; dst[12]= dst3;
-
- dst0 = src[0] * dst[1] + src[1] * dst[5] + src[2] * dst[9];
- dst1 = src[4] * dst[1] + src[5] * dst[5] + src[6] * dst[9];
- dst2 = src[8] * dst[1] + src[9] * dst[5] + src[10]* dst[9];
- dst3 = src[12]* dst[1] + src[13]* dst[5] + src[14]* dst[9] + dst[13];
- dst[1] = dst0; dst[5] = dst1; dst[9] = dst2; dst[13]= dst3;
-
- dst0 = src[0] * dst[2] + src[1] * dst[6] + src[2] * dst[10];
- dst1 = src[4] * dst[2] + src[5] * dst[6] + src[6] * dst[10];
- dst2 = src[8] * dst[2] + src[9] * dst[6] + src[10]* dst[10];
- dst3 = src[12]* dst[2] + src[13]* dst[6] + src[14]* dst[10]+ dst[14];
- dst[2] = dst0; dst[6] = dst1; dst[10]= dst2; dst[14]= dst3;
-}
-
-void m4x4_orthogonal_premultiply_by_m4x4(m4x4_t dst, const m4x4_t src)
-{
- vec_t dst0, dst1, dst2;
-
- dst0 = dst[0] * src[0] + dst[1] * src[4] + dst[2] * src[8];
- dst1 = dst[0] * src[1] + dst[1] * src[5] + dst[2] * src[9];
- dst2 = dst[0] * src[2] + dst[1] * src[6] + dst[2] * src[10];
- dst[0] = dst0; dst[1] = dst1; dst[2] = dst2;
-
- dst0 = dst[4] * src[0] + dst[5] * src[4] + dst[6] * src[8];
- dst1 = dst[4] * src[1] + dst[5] * src[5] + dst[6] * src[9];
- dst2 = dst[4] * src[2] + dst[5] * src[6] + dst[6] * src[10];
- dst[4] = dst0; dst[5] = dst1; dst[6] = dst2;
-
- dst0 = dst[8] * src[0] + dst[9] * src[4] + dst[10]* src[8];
- dst1 = dst[8] * src[1] + dst[9] * src[5] + dst[10]* src[9];
- dst2 = dst[8] * src[2] + dst[9] * src[6] + dst[10]* src[10];
- dst[8] = dst0; dst[9] = dst1; dst[10] = dst2;
-
- dst0 = dst[12]* src[0] + dst[13]* src[4] + dst[14]* src[8] + dst[15]* src[12];
- dst1 = dst[12]* src[1] + dst[13]* src[5] + dst[14]* src[9] + dst[15]* src[13];
- dst2 = dst[12]* src[2] + dst[13]* src[6] + dst[14]* src[10]+ dst[15]* src[14];
- dst[12] = dst0; dst[13] = dst1; dst[14] = dst2;
-}
-
-void m4x4_transform_point(const m4x4_t matrix, vec3_t point)
-{
- float out1, out2, out3;
-
- out1 = matrix[0] * point[0] + matrix[4] * point[1] + matrix[8] * point[2] + matrix[12];
- out2 = matrix[1] * point[0] + matrix[5] * point[1] + matrix[9] * point[2] + matrix[13];
- out3 = matrix[2] * point[0] + matrix[6] * point[1] + matrix[10] * point[2] + matrix[14];
-
- point[0] = out1;
- point[1] = out2;
- point[2] = out3;
-}
-
-void m4x4_transform_normal(const m4x4_t matrix, vec3_t normal)
-{
- float out1, out2, out3;
-
- out1 = matrix[0] * normal[0] + matrix[4] * normal[1] + matrix[8] * normal[2];
- out2 = matrix[1] * normal[0] + matrix[5] * normal[1] + matrix[9] * normal[2];
- out3 = matrix[2] * normal[0] + matrix[6] * normal[1] + matrix[10] * normal[2];
-
- normal[0] = out1;
- normal[1] = out2;
- normal[2] = out3;
-}
-
-void m4x4_transform_vec4(const m4x4_t matrix, vec4_t vector)
-{
- float out1, out2, out3, out4;
-
- out1 = matrix[0] * vector[0] + matrix[4] * vector[1] + matrix[8] * vector[2] + matrix[12] * vector[3];
- out2 = matrix[1] * vector[0] + matrix[5] * vector[1] + matrix[9] * vector[2] + matrix[13] * vector[3];
- out3 = matrix[2] * vector[0] + matrix[6] * vector[1] + matrix[10] * vector[2] + matrix[14] * vector[3];
- out4 = matrix[3] * vector[0] + matrix[7] * vector[1] + matrix[11] * vector[2] + matrix[15] * vector[3];
-
- vector[0] = out1;
- vector[1] = out2;
- vector[2] = out3;
- vector[3] = out4;
-}
-
-#define CLIP_X_LT_W(p) ((p)[0] < (p)[3])
-#define CLIP_X_GT_W(p) ((p)[0] > -(p)[3])
-#define CLIP_Y_LT_W(p) ((p)[1] < (p)[3])
-#define CLIP_Y_GT_W(p) ((p)[1] > -(p)[3])
-#define CLIP_Z_LT_W(p) ((p)[2] < (p)[3])
-#define CLIP_Z_GT_W(p) ((p)[2] > -(p)[3])
-
-clipmask_t homogenous_clip_point(const vec4_t clipped)
-{
- clipmask_t result = CLIP_FAIL;
- if(CLIP_X_LT_W(clipped)) result &= ~CLIP_LT_X; // X < W
- if(CLIP_X_GT_W(clipped)) result &= ~CLIP_GT_X; // X > -W
- if(CLIP_Y_LT_W(clipped)) result &= ~CLIP_LT_Y; // Y < W
- if(CLIP_Y_GT_W(clipped)) result &= ~CLIP_GT_Y; // Y > -W
- if(CLIP_Z_LT_W(clipped)) result &= ~CLIP_LT_Z; // Z < W
- if(CLIP_Z_GT_W(clipped)) result &= ~CLIP_GT_Z; // Z > -W
- return result;
-}
-
-clipmask_t m4x4_clip_point(const m4x4_t matrix, const vec3_t point, vec4_t clipped)
-{
- clipped[0] = point[0];
- clipped[1] = point[1];
- clipped[2] = point[2];
- clipped[3] = 1;
- m4x4_transform_vec4(matrix, clipped);
- return homogenous_clip_point(clipped);
-}
-
-
-unsigned int homogenous_clip_triangle(vec4_t clipped[9])
-{
- vec4_t buffer[9];
- unsigned int rcount = 3;
- unsigned int wcount = 0;
- vec_t const* rptr = clipped[0];
- vec_t* wptr = buffer[0];
- const vec_t* p0;
- const vec_t* p1;
- unsigned char b0, b1;
-
- unsigned int i;
- double scale;
-
- p0 = rptr;
- b0 = CLIP_X_LT_W(p0);
- for(i=0; i<rcount; ++i)
- {
- p1 = (i+1 != rcount) ? p0 + 4 : rptr;
- b1 = CLIP_X_LT_W(p1);
- if(b0 ^ b1)
- {
- wptr[0] = p1[0] - p0[0];
- wptr[1] = p1[1] - p0[1];
- wptr[2] = p1[2] - p0[2];
- wptr[3] = p1[3] - p0[3];
-
- scale = (p0[0] - p0[3]) / (wptr[3] - wptr[0]);
-
- wptr[0] = (vec_t)(p0[0] + scale*(wptr[0]));
- wptr[1] = (vec_t)(p0[1] + scale*(wptr[1]));
- wptr[2] = (vec_t)(p0[2] + scale*(wptr[2]));
- wptr[3] = (vec_t)(p0[3] + scale*(wptr[3]));
-
- wptr += 4;
- ++wcount;
- }
-
- if(b1)
- {
- wptr[0] = p1[0];
- wptr[1] = p1[1];
- wptr[2] = p1[2];
- wptr[3] = p1[3];
-
- wptr += 4;
- ++wcount;
- }
-
- p0 = p1;
- b0 = b1;
- }
-
- rcount = wcount;
- wcount = 0;
- rptr = buffer[0];
- wptr = clipped[0];
- p0 = rptr;
- b0 = CLIP_X_GT_W(p0);
-
- for(i=0; i<rcount; ++i)
- {
- p1 = (i+1 != rcount) ? p0 + 4 : rptr;
- b1 = CLIP_X_GT_W(p1);
- if(b0 ^ b1)
- {
- wptr[0] = p1[0] - p0[0];
- wptr[1] = p1[1] - p0[1];
- wptr[2] = p1[2] - p0[2];
- wptr[3] = p1[3] - p0[3];
-
- scale = (p0[0] + p0[3]) / (-wptr[3] - wptr[0]);
-
- wptr[0] = (vec_t)(p0[0] + scale*(wptr[0]));
- wptr[1] = (vec_t)(p0[1] + scale*(wptr[1]));
- wptr[2] = (vec_t)(p0[2] + scale*(wptr[2]));
- wptr[3] = (vec_t)(p0[3] + scale*(wptr[3]));
-
- wptr += 4;
- ++wcount;
- }
-
- if(b1)
- {
- wptr[0] = p1[0];
- wptr[1] = p1[1];
- wptr[2] = p1[2];
- wptr[3] = p1[3];
-
- wptr += 4;
- ++wcount;
- }
-
- p0 = p1;
- b0 = b1;
- }
-
- rcount = wcount;
- wcount = 0;
- rptr = clipped[0];
- wptr = buffer[0];
- p0 = rptr;
- b0 = CLIP_Y_LT_W(p0);
-
- for(i=0; i<rcount; ++i)
- {
- p1 = (i+1 != rcount) ? p0 + 4 : rptr;
- b1 = CLIP_Y_LT_W(p1);
- if(b0 ^ b1)
- {
- wptr[0] = p1[0] - p0[0];
- wptr[1] = p1[1] - p0[1];
- wptr[2] = p1[2] - p0[2];
- wptr[3] = p1[3] - p0[3];
-
- scale = (p0[1] - p0[3]) / (wptr[3] - wptr[1]);
-
- wptr[0] = (vec_t)(p0[0] + scale*(wptr[0]));
- wptr[1] = (vec_t)(p0[1] + scale*(wptr[1]));
- wptr[2] = (vec_t)(p0[2] + scale*(wptr[2]));
- wptr[3] = (vec_t)(p0[3] + scale*(wptr[3]));
-
- wptr += 4;
- ++wcount;
- }
-
- if(b1)
- {
- wptr[0] = p1[0];
- wptr[1] = p1[1];
- wptr[2] = p1[2];
- wptr[3] = p1[3];
-
- wptr += 4;
- ++wcount;
- }
-
- p0 = p1;
- b0 = b1;
- }
-
- rcount = wcount;
- wcount = 0;
- rptr = buffer[0];
- wptr = clipped[0];
- p0 = rptr;
- b0 = CLIP_Y_GT_W(p0);
-
- for(i=0; i<rcount; ++i)
- {
- p1 = (i+1 != rcount) ? p0 + 4 : rptr;
- b1 = CLIP_Y_GT_W(p1);
- if(b0 ^ b1)
- {
- wptr[0] = p1[0] - p0[0];
- wptr[1] = p1[1] - p0[1];
- wptr[2] = p1[2] - p0[2];
- wptr[3] = p1[3] - p0[3];
-
- scale = (p0[1] + p0[3]) / (-wptr[3] - wptr[1]);
-
- wptr[0] = (vec_t)(p0[0] + scale*(wptr[0]));
- wptr[1] = (vec_t)(p0[1] + scale*(wptr[1]));
- wptr[2] = (vec_t)(p0[2] + scale*(wptr[2]));
- wptr[3] = (vec_t)(p0[3] + scale*(wptr[3]));
-
- wptr += 4;
- ++wcount;
- }
-
- if(b1)
- {
- wptr[0] = p1[0];
- wptr[1] = p1[1];
- wptr[2] = p1[2];
- wptr[3] = p1[3];
-
- wptr += 4;
- ++wcount;
- }
-
- p0 = p1;
- b0 = b1;
- }
-
- rcount = wcount;
- wcount = 0;
- rptr = clipped[0];
- wptr = buffer[0];
- p0 = rptr;
- b0 = CLIP_Z_LT_W(p0);
-
- for(i=0; i<rcount; ++i)
- {
- p1 = (i+1 != rcount) ? p0 + 4 : rptr;
- b1 = CLIP_Z_LT_W(p1);
- if(b0 ^ b1)
- {
- wptr[0] = p1[0] - p0[0];
- wptr[1] = p1[1] - p0[1];
- wptr[2] = p1[2] - p0[2];
- wptr[3] = p1[3] - p0[3];
-
- scale = (p0[2] - p0[3]) / (wptr[3] - wptr[2]);
-
- wptr[0] = (vec_t)(p0[0] + scale*(wptr[0]));
- wptr[1] = (vec_t)(p0[1] + scale*(wptr[1]));
- wptr[2] = (vec_t)(p0[2] + scale*(wptr[2]));
- wptr[3] = (vec_t)(p0[3] + scale*(wptr[3]));
-
- wptr += 4;
- ++wcount;
- }
-
- if(b1)
- {
- wptr[0] = p1[0];
- wptr[1] = p1[1];
- wptr[2] = p1[2];
- wptr[3] = p1[3];
-
- wptr += 4;
- ++wcount;
- }
-
- p0 = p1;
- b0 = b1;
- }
-
- rcount = wcount;
- wcount = 0;
- rptr = buffer[0];
- wptr = clipped[0];
- p0 = rptr;
- b0 = CLIP_Z_GT_W(p0);
-
- for(i=0; i<rcount; ++i)
- {
- p1 = (i+1 != rcount) ? p0 + 4 : rptr;
- b1 = CLIP_Z_GT_W(p1);
- if(b0 ^ b1)
- {
- wptr[0] = p1[0] - p0[0];
- wptr[1] = p1[1] - p0[1];
- wptr[2] = p1[2] - p0[2];
- wptr[3] = p1[3] - p0[3];
-
- scale = (p0[2] + p0[3]) / (-wptr[3] - wptr[2]);
-
- wptr[0] = (vec_t)(p0[0] + scale*(wptr[0]));
- wptr[1] = (vec_t)(p0[1] + scale*(wptr[1]));
- wptr[2] = (vec_t)(p0[2] + scale*(wptr[2]));
- wptr[3] = (vec_t)(p0[3] + scale*(wptr[3]));
-
- wptr += 4;
- ++wcount;
- }
-
- if(b1)
- {
- wptr[0] = p1[0];
- wptr[1] = p1[1];
- wptr[2] = p1[2];
- wptr[3] = p1[3];
-
- wptr += 4;
- ++wcount;
- }
-
- p0 = p1;
- b0 = b1;
- }
-
- return wcount;
-}
-
-unsigned int m4x4_clip_triangle(const m4x4_t matrix, const vec3_t p0, const vec3_t p1, const vec3_t p2, vec4_t clipped[9])
-{
- clipped[0][0] = p0[0];
- clipped[0][1] = p0[1];
- clipped[0][2] = p0[2];
- clipped[0][3] = 1;
- clipped[1][0] = p1[0];
- clipped[1][1] = p1[1];
- clipped[1][2] = p1[2];
- clipped[1][3] = 1;
- clipped[2][0] = p2[0];
- clipped[2][1] = p2[1];
- clipped[2][2] = p2[2];
- clipped[2][3] = 1;
-
- m4x4_transform_vec4(matrix, clipped[0]);
- m4x4_transform_vec4(matrix, clipped[1]);
- m4x4_transform_vec4(matrix, clipped[2]);
-
- return homogenous_clip_triangle(clipped);
-}
-
-unsigned int homogenous_clip_line(vec4_t clipped[2])
-{
- vec4_t clip;
- double scale;
- const vec_t* const p0 = clipped[0];
- const vec_t* const p1 = clipped[1];
-
- // early out
- {
- clipmask_t mask0 = homogenous_clip_point(clipped[0]);
- clipmask_t mask1 = homogenous_clip_point(clipped[1]);
-
- if((mask0 | mask1) == CLIP_PASS) // both points passed all planes
- return 2;
-
- if(mask0 & mask1) // both points failed any one plane
- return 0;
- }
-
- {
- const unsigned int index = CLIP_X_LT_W(p0);
- if(index ^ CLIP_X_LT_W(p1))
- {
- clip[0] = p1[0] - p0[0];
- clip[1] = p1[1] - p0[1];
- clip[2] = p1[2] - p0[2];
- clip[3] = p1[3] - p0[3];
-
- scale = (p0[0] - p0[3]) / (clip[3] - clip[0]);
-
- clip[0] = (vec_t)(p0[0] + scale*(clip[0]));
- clip[1] = (vec_t)(p0[1] + scale*(clip[1]));
- clip[2] = (vec_t)(p0[2] + scale*(clip[2]));
- clip[3] = (vec_t)(p0[3] + scale*(clip[3]));
-
- clipped[index][0] = clip[0];
- clipped[index][1] = clip[1];
- clipped[index][2] = clip[2];
- clipped[index][3] = clip[3];
- }
- else if(index == 0)
- return 0;
- }
-
- {
- const unsigned int index = CLIP_X_GT_W(p0);
- if(index ^ CLIP_X_GT_W(p1))
- {
- clip[0] = p1[0] - p0[0];
- clip[1] = p1[1] - p0[1];
- clip[2] = p1[2] - p0[2];
- clip[3] = p1[3] - p0[3];
-
- scale = (p0[0] + p0[3]) / (-clip[3] - clip[0]);
-
- clip[0] = (vec_t)(p0[0] + scale*(clip[0]));
- clip[1] = (vec_t)(p0[1] + scale*(clip[1]));
- clip[2] = (vec_t)(p0[2] + scale*(clip[2]));
- clip[3] = (vec_t)(p0[3] + scale*(clip[3]));
-
- clipped[index][0] = clip[0];
- clipped[index][1] = clip[1];
- clipped[index][2] = clip[2];
- clipped[index][3] = clip[3];
- }
- else if(index == 0)
- return 0;
- }
-
- {
- const unsigned int index = CLIP_Y_LT_W(p0);
- if(index ^ CLIP_Y_LT_W(p1))
- {
- clip[0] = p1[0] - p0[0];
- clip[1] = p1[1] - p0[1];
- clip[2] = p1[2] - p0[2];
- clip[3] = p1[3] - p0[3];
-
- scale = (p0[1] - p0[3]) / (clip[3] - clip[1]);
-
- clip[0] = (vec_t)(p0[0] + scale*(clip[0]));
- clip[1] = (vec_t)(p0[1] + scale*(clip[1]));
- clip[2] = (vec_t)(p0[2] + scale*(clip[2]));
- clip[3] = (vec_t)(p0[3] + scale*(clip[3]));
-
- clipped[index][0] = clip[0];
- clipped[index][1] = clip[1];
- clipped[index][2] = clip[2];
- clipped[index][3] = clip[3];
- }
- else if(index == 0)
- return 0;
- }
-
- {
- const unsigned int index = CLIP_Y_GT_W(p0);
- if(index ^ CLIP_Y_GT_W(p1))
- {
- clip[0] = p1[0] - p0[0];
- clip[1] = p1[1] - p0[1];
- clip[2] = p1[2] - p0[2];
- clip[3] = p1[3] - p0[3];
-
- scale = (p0[1] + p0[3]) / (-clip[3] - clip[1]);
-
- clip[0] = (vec_t)(p0[0] + scale*(clip[0]));
- clip[1] = (vec_t)(p0[1] + scale*(clip[1]));
- clip[2] = (vec_t)(p0[2] + scale*(clip[2]));
- clip[3] = (vec_t)(p0[3] + scale*(clip[3]));
-
- clipped[index][0] = clip[0];
- clipped[index][1] = clip[1];
- clipped[index][2] = clip[2];
- clipped[index][3] = clip[3];
- }
- else if(index == 0)
- return 0;
- }
-
- {
- const unsigned int index = CLIP_Z_LT_W(p0);
- if(index ^ CLIP_Z_LT_W(p1))
- {
- clip[0] = p1[0] - p0[0];
- clip[1] = p1[1] - p0[1];
- clip[2] = p1[2] - p0[2];
- clip[3] = p1[3] - p0[3];
-
- scale = (p0[2] - p0[3]) / (clip[3] - clip[2]);
-
- clip[0] = (vec_t)(p0[0] + scale*(clip[0]));
- clip[1] = (vec_t)(p0[1] + scale*(clip[1]));
- clip[2] = (vec_t)(p0[2] + scale*(clip[2]));
- clip[3] = (vec_t)(p0[3] + scale*(clip[3]));
-
- clipped[index][0] = clip[0];
- clipped[index][1] = clip[1];
- clipped[index][2] = clip[2];
- clipped[index][3] = clip[3];
- }
- else if(index == 0)
- return 0;
- }
-
- {
- const unsigned int index = CLIP_Z_GT_W(p0);
- if(index ^ CLIP_Z_GT_W(p1))
- {
- clip[0] = p1[0] - p0[0];
- clip[1] = p1[1] - p0[1];
- clip[2] = p1[2] - p0[2];
- clip[3] = p1[3] - p0[3];
-
- scale = (p0[2] + p0[3]) / (-clip[3] - clip[2]);
-
- clip[0] = (vec_t)(p0[0] + scale*(clip[0]));
- clip[1] = (vec_t)(p0[1] + scale*(clip[1]));
- clip[2] = (vec_t)(p0[2] + scale*(clip[2]));
- clip[3] = (vec_t)(p0[3] + scale*(clip[3]));
-
- clipped[index][0] = clip[0];
- clipped[index][1] = clip[1];
- clipped[index][2] = clip[2];
- clipped[index][3] = clip[3];
- }
- else if(index == 0)
- return 0;
- }
-
- return 2;
-}
-
-unsigned int m4x4_clip_line(const m4x4_t matrix, const vec3_t p0, const vec3_t p1, vec4_t clipped[2])
-{
- clipped[0][0] = p0[0];
- clipped[0][1] = p0[1];
- clipped[0][2] = p0[2];
- clipped[0][3] = 1;
- clipped[1][0] = p1[0];
- clipped[1][1] = p1[1];
- clipped[1][2] = p1[2];
- clipped[1][3] = 1;
-
- m4x4_transform_vec4(matrix, clipped[0]);
- m4x4_transform_vec4(matrix, clipped[1]);
-
- return homogenous_clip_line(clipped);
-}
-
-void m4x4_transpose(m4x4_t matrix)
-{
- int i, j;
- float temp, *p1, *p2;
-
- for (i=1; i<4; i++) {
- for (j=0; j<i; j++) {
- p1 = matrix+(j*4+i);
- p2 = matrix+(i*4+j);
- temp = *p1;
- *p1=*p2;
- *p2=temp;
- }
- }
-}
-
-/* adapted from Graphics Gems 2
- invert a 3d matrix (4x3) */
-int m4x4_orthogonal_invert(m4x4_t matrix)
-{
- m4x4_t temp;
- vec_t* src = temp;
-
- m4x4_assign(src, matrix);
-
- /* Calculate the determinant of upper left 3x3 submatrix and
- * determine if the matrix is singular.
- */
- {
-#if 0
- float pos = 0.0f;
- float neg = 0.0f;
- float det = src[0] * src[5] * src[10];
- if (det >= 0.0) pos += det; else neg += det;
-
- det = src[1] * src[6] * src[8];
- if (det >= 0.0) pos += det; else neg += det;
-
- det = src[2] * src[4] * src[9];
- if (det >= 0.0) pos += det; else neg += det;
-
- det = -src[2] * src[5] * src[8];
- if (det >= 0.0) pos += det; else neg += det;
-
- det = -src[1] * src[4] * src[10];
- if (det >= 0.0) pos += det; else neg += det;
-
- det = -src[0] * src[6] * src[9];
- if (det >= 0.0) pos += det; else neg += det;
-
- det = pos + neg;
-#elif 0
- float det
- = (src[0] * src[5] * src[10])
- + (src[1] * src[6] * src[8])
- + (src[2] * src[4] * src[9])
- - (src[2] * src[5] * src[8])
- - (src[1] * src[4] * src[10])
- - (src[0] * src[6] * src[9]);
-#else
- float det
- = src[0] * ( src[5]*src[10] - src[9]*src[6] )
- - src[1] * ( src[4]*src[10] - src[8]*src[6] )
- + src[2] * ( src[4]*src[9] - src[8]*src[5] );
-
-#endif
-
- if (det*det < 1e-25)
- return 1;
-
- det = 1.0f / det;
- matrix[0] = ( (src[5]*src[10]- src[6]*src[9] )*det);
- matrix[1] = (- (src[1]*src[10]- src[2]*src[9] )*det);
- matrix[2] = ( (src[1]*src[6] - src[2]*src[5] )*det);
- matrix[4] = (- (src[4]*src[10]- src[6]*src[8] )*det);
- matrix[5] = ( (src[0]*src[10]- src[2]*src[8] )*det);
- matrix[6] = (- (src[0]*src[6] - src[2]*src[4] )*det);
- matrix[8] = ( (src[4]*src[9] - src[5]*src[8] )*det);
- matrix[9] = (- (src[0]*src[9] - src[1]*src[8] )*det);
- matrix[10]= ( (src[0]*src[5] - src[1]*src[4] )*det);
- }
-
- /* Do the translation part */
- matrix[12] = - (src[12] * matrix[0] +
- src[13] * matrix[4] +
- src[14] * matrix[8]);
- matrix[13] = - (src[12] * matrix[1] +
- src[13] * matrix[5] +
- src[14] * matrix[9]);
- matrix[14] = - (src[12] * matrix[2] +
- src[13] * matrix[6] +
- src[14] * matrix[10]);
-
- return 0;
-}
-
-void quat_identity(vec4_t quat)
-{
- quat[0] = quat[1] = quat[2] = 0;
- quat[3] = 1;
-}
-
-void quat_multiply_by_quat(vec4_t quat, const vec4_t other)
-{
- const vec_t x = quat[3]*other[0] + quat[0]*other[3] + quat[1]*other[2] - quat[2]*other[1];
- const vec_t y = quat[3]*other[1] + quat[1]*other[3] + quat[2]*other[0] - quat[0]*other[2];
- const vec_t z = quat[3]*other[2] + quat[2]*other[3] + quat[0]*other[1] - quat[1]*other[0];
- const vec_t w = quat[3]*other[3] - quat[0]*other[0] - quat[1]*other[1] - quat[2]*other[2];
- quat[0] = x;
- quat[1] = y;
- quat[2] = z;
- quat[3] = w;
-}
-
-void quat_conjugate(vec4_t quat)
-{
- VectorNegate(quat, quat);
-}
-
-//! quaternion from two unit vectors
-void quat_for_unit_vectors(vec4_t quat, const vec3_t from, const vec3_t to)
-{
- CrossProduct(from, to, quat);
- quat[3] = DotProduct(from, to);
-}
-
-void quat_normalise(vec4_t quat)
-{
- const vec_t n = 1 / ( quat[0] * quat[0] + quat[1] * quat[1] + quat[2] * quat[2] + quat[3] * quat[3] );
- quat[0] *= n;
- quat[1] *= n;
- quat[2] *= n;
- quat[3] *= n;
-}
-
-void quat_for_axisangle(vec4_t quat, const vec3_t axis, double angle)
-{
- angle *= 0.5;
-
- quat[3] = (float)sin(angle);
-
- quat[0] = axis[0] * quat[3];
- quat[1] = axis[1] * quat[3];
- quat[2] = axis[2] * quat[3];
- quat[3] = (float)cos(angle);
-}
-
-void m3x3_multiply_by_m3x3(m3x3_t matrix, const m3x3_t matrix_src)
-{
- float *pDest = matrix;
- float out1, out2, out3;
- int i;
-
- for(i=0;i<3;i++)
- {
- out1 = matrix_src[0] * pDest[0];
- out1 += matrix_src[1] * pDest[3];
- out1 += matrix_src[2] * pDest[6];
- out2 = matrix_src[3] * pDest[0];
- out2 += matrix_src[4] * pDest[3];
- out2 += matrix_src[5] * pDest[6];
- out3 = matrix_src[6] * pDest[0];
- out3 += matrix_src[7] * pDest[3];
- out3 += matrix_src[8] * pDest[6];
-
- pDest[0] = out1;
- pDest[3] = out2;
- pDest[6] = out3;
-
- pDest++;
- }
-}
-
-void m3x3_transform_vec3(const m3x3_t matrix, vec3_t vector)
-{
- float out1, out2, out3;
-
- out1 = matrix[0] * vector[0];
- out1 += matrix[3] * vector[1];
- out1 += matrix[6] * vector[2];
- out2 = matrix[1] * vector[0];
- out2 += matrix[4] * vector[1];
- out2 += matrix[7] * vector[2];
- out3 = matrix[2] * vector[0];
- out3 += matrix[5] * vector[1];
- out3 += matrix[8] * vector[2];
-
- vector[0] = out1;
- vector[1] = out2;
- vector[2] = out3;
-}
-
-float m3_det( m3x3_t mat )
-{
- float det;
-
- det = mat[0] * ( mat[4]*mat[8] - mat[7]*mat[5] )
- - mat[1] * ( mat[3]*mat[8] - mat[6]*mat[5] )
- + mat[2] * ( mat[3]*mat[7] - mat[6]*mat[4] );
-
- return( det );
-}
-
-int m3_inverse( m3x3_t mr, m3x3_t ma )
-{
- float det = m3_det( ma );
-
- if (det == 0 )
- {
- return 1;
- }
-
-
- mr[0] = ma[4]*ma[8] - ma[5]*ma[7] / det;
- mr[1] = -( ma[1]*ma[8] - ma[7]*ma[2] ) / det;
- mr[2] = ma[1]*ma[5] - ma[4]*ma[2] / det;
-
- mr[3] = -( ma[3]*ma[8] - ma[5]*ma[6] ) / det;
- mr[4] = ma[0]*ma[8] - ma[6]*ma[2] / det;
- mr[5] = -( ma[0]*ma[5] - ma[3]*ma[2] ) / det;
-
- mr[6] = ma[3]*ma[7] - ma[6]*ma[4] / det;
- mr[7] = -( ma[0]*ma[7] - ma[6]*ma[1] ) / det;
- mr[8] = ma[0]*ma[4] - ma[1]*ma[3] / det;
-
- return 0;
-}
-
-void m4_submat( m4x4_t mr, m3x3_t mb, int i, int j )
-{
- int ti, tj, idst, jdst;
-
- for ( ti = 0; ti < 4; ti++ )
- {
- if ( ti < i )
- idst = ti;
- else if ( ti > i )
- idst = ti-1;
- else
- continue;
-
- for ( tj = 0; tj < 4; tj++ )
- {
- if ( tj < j )
- jdst = tj;
- else if ( tj > j )
- jdst = tj-1;
- else
- continue;
-
- mb[idst*3 + jdst] = mr[ti*4 + tj ];
- }
- }
-}
-
-float m4_det( m4x4_t mr )
-{
- float det, result = 0, i = 1;
- m3x3_t msub3;
- int n;
-
- for ( n = 0; n < 4; n++, i *= -1 )
- {
- m4_submat( mr, msub3, 0, n );
-
- det = m3_det( msub3 );
- result += mr[n] * det * i;
- }
-
- return result;
-}
-
-int m4x4_invert(m4x4_t matrix)
-{
- float mdet = m4_det( matrix );
- m3x3_t mtemp;
- int i, j, sign;
- m4x4_t m4x4_temp;
-
-#if 0
- if ( fabs( mdet ) < 0.0000000001 )
- return 1;
-#endif
-
- m4x4_assign(m4x4_temp, matrix);
-
- for ( i = 0; i < 4; i++ )
- for ( j = 0; j < 4; j++ )
- {
- sign = 1 - ( (i +j) % 2 ) * 2;
-
- m4_submat( m4x4_temp, mtemp, i, j );
-
- matrix[i+j*4] = ( m3_det( mtemp ) * sign ) / mdet; /* FIXME: try using * inverse det and see if speed/accuracy are good enough */
- }
-
- return 0;
-}
-#if 0
-void m4x4_solve_ge(m4x4_t matrix, vec4_t x)
-{
- int indx[4];
- int c,r;
- int i;
- int best;
- float scale[4];
- float f, pivot;
- float aug[4];
- float recip, ratio;
- float* p;
-
- for(r=0; r<4; r++)
- {
- aug[r] = 0;
- indx[r] = r;
- }
-
- for (r=0; r<4; r++)
- {
- scale[r] = 0;
- for (c=0; c<4; c++, p++)
- {
- if (fabs(*p) > scale[r])
- {
- scale[r] = (float)fabs(*p);
- }
- }
- }
-
- for (c=0; c<3; c++)
- {
- pivot = 0;
- for (r=c; r<4; r++)
- {
- f = (float)fabs(matrix[(indx[r]<<2)+c]) / scale[indx[r]];
- if (f > pivot)
- {
- pivot = f;
- best = r;
- }
- }
-
- i = indx[c];
- indx[c] = indx[best];
- indx[best] = i;
-
- recip = 1 / matrix[(indx[c]<<2)+c];
-
- for (r=c+1; r<4; r++)
- {
- p = matrix + (indx[r]<<2);
- ratio = p[c] * recip;
-
- for (i=c+1; i<4; i++)
- p[i] -= ratio * matrix[(indx[c]<<2)+i];
- aug[indx[r]] -= ratio * aug[indx[c]];
- }
- }
-
- x[indx[3]] = aug[indx[3]] / matrix[(indx[3]<<2)+3];
- for(r=2; r>=0; r--)
- {
- f = aug[indx[r]];
- p = matrix + (indx[r]<<2);
- recip = 1 / p[r];
- for(c=(r+1); c<4; c++)
- {
- f -= (p[c] * x[indx[c]]);
- }
- x[indx[r]] = f * recip;
- }
-}
-#endif
-
-#define N 3
-
-int matrix_solve_ge(vec_t* matrix, vec_t* aug, vec3_t x)
-{
- int indx[N];
- int c,r;
- int i;
- int best;
- float scale[N];
- float f, pivot;
- float ratio;
- float* p;
-
- for(r=0; r<N; r++)
- {
- indx[r] = r;
- }
-
- for (r=0; r<N; r++)
- {
- p = matrix+r;
- scale[r] = 0;
- for (c=0; c<N; c++, p++)
- {
- if (fabs(*p) > scale[r])
- {
- scale[r] = (float)fabs(*p);
- }
- }
- }
-
- for (c=0; c<N; c++)
- {
- pivot = 0;
- best = -1;
- for (r=c; r<N; r++)
- {
- f = (float)fabs(matrix[(indx[r]*N)+c]) / scale[indx[r]];
- if (f > pivot)
- {
- pivot = f;
- best = r;
- }
- }
-
- if(best == -1) return 1;
-
- i = indx[c];
- indx[c] = indx[best];
- indx[best] = i;
-
- for (r=c+1; r<N; r++)
- {
- p = matrix + (indx[r]*N);
- ratio = p[c] / matrix[(indx[c]*N)+c];
-
- for (i=c+1; i<N; i++) p[i] -= ratio * matrix[(indx[c]*N)+i];
- aug[indx[r]] -= ratio * aug[indx[c]];
- }
- }
-
- x[N-1] = aug[indx[N-1]] / matrix[(indx[N-1]*N)+N-1];
- for(r=1; r>=0; r--)
- {
- f = aug[indx[r]];
- p = matrix + (indx[r]*N);
- for(c=(r+1); c<N; c++) f -= (p[c] * x[c]);
- x[r] = f / p[r];
- }
- return 0;
-}
-
-#ifdef YOU_WANT_IT_TO_BORK
- /* Gaussian elimination */
- for(i=0;i<4;i++)
- {
- for(j=(i+1);j<4;j++)
- {
- ratio = matrix[j][i] / matrix[i][i];
- for(count=i;count<n;count++) {
- matrix[j][count] -= (ratio * matrix[i][count]);
- }
- b[j] -= (ratio * b[i]);
- }
- }
-
- /* Back substitution */
- x[n-1] = b[n-1] / matrix[n-1][n-1];
- for(i=(n-2);i>=0;i--)
- {
- temp = b[i];
- for(j=(i+1);j<n;j++)
- {
- temp -= (matrix[i][j] * x[j]);
- }
- x[i] = temp / matrix[i][i];
- }
-#endif
-
-int plane_intersect_planes(const vec4_t plane1, const vec4_t plane2, const vec4_t plane3, vec3_t intersection)
-{
- m3x3_t planes;
- vec3_t b;
- VectorCopy(plane1, planes+0);
- b[0] = plane1[3];
- VectorCopy(plane2, planes+3);
- b[1] = plane2[3];
- VectorCopy(plane3, planes+6);
- b[2] = plane3[3];
-
- return matrix_solve_ge(planes, b, intersection);
-}
projects / voretournament / voretournament.git / blobdiff