/* Copyright (C) 1999-2007 id Software, Inc. and contributors. For a list of contributors, see the accompanying CONTRIBUTORS file. 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" #include "memory.h" 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; } 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]; } 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 rotation ){ float xx,xy,xz,xw,yy,yz,yw,zz,zw; xx = rotation[0] * rotation[0]; xy = rotation[0] * rotation[1]; xz = rotation[0] * rotation[2]; xw = rotation[0] * rotation[3]; yy = rotation[1] * rotation[1]; yz = rotation[1] * rotation[2]; yw = rotation[1] * rotation[3]; zz = rotation[2] * rotation[2]; zw = rotation[2] * rotation[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 ); 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, vec_t angle ){ vec4_t rotation; angle *= 0.5; rotation[3] = (float)sin( (float)( angle ) ); rotation[0] = axis[0] * rotation[3]; rotation[1] = axis[1] * rotation[3]; rotation[2] = axis[2] * rotation[3]; rotation[3] = (float)cos( (float)( angle ) ); m4x4_rotation_for_quat( matrix, rotation ); } 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, vec_t 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; VectorNegative( 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; VectorNegative( 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 ); VectorNegative( 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; VectorNegative( 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, vec_t angle, const vec3_t pivotpoint ){ vec3_t vec3_temp; VectorNegative( 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_transform_point( const m4x4_t matrix, vec3_t point ){ float out1, out2, out3; out1 = matrix[0] * point[0]; out2 = matrix[1] * point[0]; out3 = matrix[2] * point[0]; out1 += matrix[4] * point[1]; out2 += matrix[5] * point[1]; out3 += matrix[6] * point[1]; out1 += matrix[8] * point[2]; out2 += matrix[9] * point[2]; out3 += matrix[10] * point[2]; out1 += matrix[12]; out2 += matrix[13]; out3 += 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]; out2 = matrix[1] * normal[0]; out3 = matrix[2] * normal[0]; out1 += matrix[4] * normal[1]; out2 += matrix[5] * normal[1]; out3 += matrix[6] * normal[1]; out1 += matrix[8] * normal[2]; out2 += matrix[9] * normal[2]; out3 += 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]; out2 = matrix[1] * vector[0]; out3 = matrix[2] * vector[0]; out4 = matrix[3] * vector[0]; out1 += matrix[4] * vector[1]; out2 += matrix[5] * vector[1]; out3 += matrix[6] * vector[1]; out4 += matrix[7] * vector[1]; out1 += matrix[8] * vector[2]; out2 += matrix[9] * vector[2]; out3 += matrix[10] * vector[2]; out4 += matrix[11] * vector[2]; out1 += matrix[12] * vector[3]; out2 += matrix[13] * vector[3]; out3 += matrix[14] * vector[3]; out4 += matrix[15] * vector[3]; vector[0] = out1; vector[1] = out2; vector[2] = out3; vector[3] = out4; } 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; } } } void m4x4_orthogonal_invert( m4x4_t matrix ){ float temp; temp = -matrix[3]; matrix[3] = matrix[12]; matrix[12] = temp; temp = -matrix[7]; matrix[7] = matrix[13]; matrix[13] = temp; temp = -matrix[11]; matrix[11] = matrix[14]; matrix[14] = temp; /* temp = matrix[1]; matrix[1] = matrix[4]; matrix[4] = temp; temp = matrix[2]; matrix[2] = matrix[8]; matrix[8] = temp; temp = matrix[6]; matrix[6] = matrix[9]; matrix[9] = temp; matrix[3] = -matrix[3]; matrix[7] = -matrix[7]; matrix[11] = -matrix[11]; */ } 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 ); } /* void m3_inverse( m3x3_t mr, m3x3_t ma ) { float det = m3_det( ma ); if ( fabs( det ) < 0.0005 ) { m3_identity( ma ); return; } 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; } */ void m4_submat( m4x4_t mr, m3x3_t mb, int i, int j ){ int ti, tj, idst, jdst; idst = 0; for ( ti = 0; ti < 4; ti++ ) { if ( ti < i ) { idst = ti; } else if ( ti > i ) { idst = ti - 1; } for ( tj = 0; tj < 4; tj++ ) { if ( tj < j ) { jdst = tj; } else if ( tj > j ) { jdst = tj - 1; } if ( ti != i && tj != j ) { 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 ( fabs( mdet ) < 0.0000000001 ) { //% 0.0005 return 1; } memcpy( m4x4_temp, matrix, sizeof( m4x4_t ) ); 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; } return 0; }