--- /dev/null
+/*************************************************************************
+ * *
+ * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. *
+ * All rights reserved. Email: russ@q12.org Web: www.q12.org *
+ * *
+ * This library is free software; you can redistribute it and/or *
+ * modify it under the terms of EITHER: *
+ * (1) The GNU Lesser General Public License as published by the Free *
+ * Software Foundation; either version 2.1 of the License, or (at *
+ * your option) any later version. The text of the GNU Lesser *
+ * General Public License is included with this library in the *
+ * file LICENSE.TXT. *
+ * (2) The BSD-style license that is included with this library in *
+ * the file LICENSE-BSD.TXT. *
+ * *
+ * This library 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 files *
+ * LICENSE.TXT and LICENSE-BSD.TXT for more details. *
+ * *
+ *************************************************************************/
+
+#ifndef _ODE_ODEMATH_H_
+#define _ODE_ODEMATH_H_
+
+#include <ode/common.h>
+
+/*
+ * macro to access elements i,j in an NxM matrix A, independent of the
+ * matrix storage convention.
+ */
+#define dACCESS33(A,i,j) ((A)[(i)*4+(j)])
+
+/*
+ * Macro to test for valid floating point values
+ */
+#define dVALIDVEC3(v) (!(dIsNan(v[0]) || dIsNan(v[1]) || dIsNan(v[2])))
+#define dVALIDVEC4(v) (!(dIsNan(v[0]) || dIsNan(v[1]) || dIsNan(v[2]) || dIsNan(v[3])))
+#define dVALIDMAT3(m) (!(dIsNan(m[0]) || dIsNan(m[1]) || dIsNan(m[2]) || dIsNan(m[3]) || dIsNan(m[4]) || dIsNan(m[5]) || dIsNan(m[6]) || dIsNan(m[7]) || dIsNan(m[8]) || dIsNan(m[9]) || dIsNan(m[10]) || dIsNan(m[11])))
+#define dVALIDMAT4(m) (!(dIsNan(m[0]) || dIsNan(m[1]) || dIsNan(m[2]) || dIsNan(m[3]) || dIsNan(m[4]) || dIsNan(m[5]) || dIsNan(m[6]) || dIsNan(m[7]) || dIsNan(m[8]) || dIsNan(m[9]) || dIsNan(m[10]) || dIsNan(m[11]) || dIsNan(m[12]) || dIsNan(m[13]) || dIsNan(m[14]) || dIsNan(m[15]) ))
+
+
+ODE_PURE_INLINE void dZeroVector3(dVector3 res)
+{
+ res[dV3E_X] = REAL(0.0);
+ res[dV3E_Y] = REAL(0.0);
+ res[dV3E_Z] = REAL(0.0);
+}
+
+ODE_PURE_INLINE void dAssignVector3(dVector3 res, dReal x, dReal y, dReal z)
+{
+ res[dV3E_X] = x;
+ res[dV3E_Y] = y;
+ res[dV3E_Z] = z;
+}
+
+ODE_PURE_INLINE void dZeroMatrix3(dMatrix3 res)
+{
+ res[dM3E_XX] = REAL(0.0); res[dM3E_XY] = REAL(0.0); res[dM3E_XZ] = REAL(0.0);
+ res[dM3E_YX] = REAL(0.0); res[dM3E_YY] = REAL(0.0); res[dM3E_YZ] = REAL(0.0);
+ res[dM3E_ZX] = REAL(0.0); res[dM3E_ZY] = REAL(0.0); res[dM3E_ZZ] = REAL(0.0);
+}
+
+ODE_PURE_INLINE void dZeroMatrix4(dMatrix4 res)
+{
+ res[dM4E_XX] = REAL(0.0); res[dM4E_XY] = REAL(0.0); res[dM4E_XZ] = REAL(0.0); res[dM4E_XO] = REAL(0.0);
+ res[dM4E_YX] = REAL(0.0); res[dM4E_YY] = REAL(0.0); res[dM4E_YZ] = REAL(0.0); res[dM4E_YO] = REAL(0.0);
+ res[dM4E_ZX] = REAL(0.0); res[dM4E_ZY] = REAL(0.0); res[dM4E_ZZ] = REAL(0.0); res[dM4E_ZO] = REAL(0.0);
+ res[dM4E_OX] = REAL(0.0); res[dM4E_OY] = REAL(0.0); res[dM4E_OZ] = REAL(0.0); res[dM4E_OO] = REAL(0.0);
+}
+
+/* Some vector math */
+ODE_PURE_INLINE void dAddVectors3(dReal *res, const dReal *a, const dReal *b)
+{
+ const dReal res_0 = a[0] + b[0];
+ const dReal res_1 = a[1] + b[1];
+ const dReal res_2 = a[2] + b[2];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dSubtractVectors3(dReal *res, const dReal *a, const dReal *b)
+{
+ const dReal res_0 = a[0] - b[0];
+ const dReal res_1 = a[1] - b[1];
+ const dReal res_2 = a[2] - b[2];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dAddVectorScaledVector3(dReal *res, const dReal *a, const dReal *b, dReal b_scale)
+{
+ const dReal res_0 = a[0] + b_scale * b[0];
+ const dReal res_1 = a[1] + b_scale * b[1];
+ const dReal res_2 = a[2] + b_scale * b[2];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dAddScaledVectors3(dReal *res, const dReal *a, const dReal *b, dReal a_scale, dReal b_scale)
+{
+ const dReal res_0 = a_scale * a[0] + b_scale * b[0];
+ const dReal res_1 = a_scale * a[1] + b_scale * b[1];
+ const dReal res_2 = a_scale * a[2] + b_scale * b[2];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dAddThreeScaledVectors3(dReal *res, const dReal *a, const dReal *b, const dReal *c, dReal a_scale, dReal b_scale, dReal c_scale)
+{
+ const dReal res_0 = a_scale * a[0] + b_scale * b[0] + c_scale * c[0];
+ const dReal res_1 = a_scale * a[1] + b_scale * b[1] + c_scale * c[1];
+ const dReal res_2 = a_scale * a[2] + b_scale * b[2] + c_scale * c[2];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dScaleVector3(dReal *res, dReal nScale)
+{
+ res[0] *= nScale ;
+ res[1] *= nScale ;
+ res[2] *= nScale ;
+}
+
+ODE_PURE_INLINE void dNegateVector3(dReal *res)
+{
+ res[0] = -res[0];
+ res[1] = -res[1];
+ res[2] = -res[2];
+}
+
+ODE_PURE_INLINE void dCopyVector3(dReal *res, const dReal *a)
+{
+ const dReal res_0 = a[0];
+ const dReal res_1 = a[1];
+ const dReal res_2 = a[2];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dCopyScaledVector3(dReal *res, const dReal *a, dReal nScale)
+{
+ const dReal res_0 = a[0] * nScale;
+ const dReal res_1 = a[1] * nScale;
+ const dReal res_2 = a[2] * nScale;
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dCopyNegatedVector3(dReal *res, const dReal *a)
+{
+ const dReal res_0 = -a[0];
+ const dReal res_1 = -a[1];
+ const dReal res_2 = -a[2];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dCopyVector4(dReal *res, const dReal *a)
+{
+ const dReal res_0 = a[0];
+ const dReal res_1 = a[1];
+ const dReal res_2 = a[2];
+ const dReal res_3 = a[3];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2; res[3] = res_3;
+}
+
+ODE_PURE_INLINE void dCopyMatrix4x4(dReal *res, const dReal *a)
+{
+ dCopyVector4(res + 0, a + 0);
+ dCopyVector4(res + 4, a + 4);
+ dCopyVector4(res + 8, a + 8);
+}
+
+ODE_PURE_INLINE void dCopyMatrix4x3(dReal *res, const dReal *a)
+{
+ dCopyVector3(res + 0, a + 0);
+ dCopyVector3(res + 4, a + 4);
+ dCopyVector3(res + 8, a + 8);
+}
+
+ODE_PURE_INLINE void dGetMatrixColumn3(dReal *res, const dReal *a, unsigned n)
+{
+ const dReal res_0 = a[n + 0];
+ const dReal res_1 = a[n + 4];
+ const dReal res_2 = a[n + 8];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE dReal dCalcVectorLength3(const dReal *a)
+{
+ return dSqrt(a[0] * a[0] + a[1] * a[1] + a[2] * a[2]);
+}
+
+ODE_PURE_INLINE dReal dCalcVectorLengthSquare3(const dReal *a)
+{
+ return (a[0] * a[0] + a[1] * a[1] + a[2] * a[2]);
+}
+
+ODE_PURE_INLINE dReal dCalcPointDepth3(const dReal *test_p, const dReal *plane_p, const dReal *plane_n)
+{
+ return (plane_p[0] - test_p[0]) * plane_n[0] + (plane_p[1] - test_p[1]) * plane_n[1] + (plane_p[2] - test_p[2]) * plane_n[2];
+}
+
+
+/*
+* 3-way dot product. _dCalcVectorDot3 means that elements of `a' and `b' are spaced
+* step_a and step_b indexes apart respectively. dCalcVectorDot3() means dDot311.
+*/
+
+ODE_PURE_INLINE dReal _dCalcVectorDot3(const dReal *a, const dReal *b, unsigned step_a, unsigned step_b)
+{
+ return a[0] * b[0] + a[step_a] * b[step_b] + a[2 * step_a] * b[2 * step_b];
+}
+
+
+ODE_PURE_INLINE dReal dCalcVectorDot3 (const dReal *a, const dReal *b) { return _dCalcVectorDot3(a,b,1,1); }
+ODE_PURE_INLINE dReal dCalcVectorDot3_13 (const dReal *a, const dReal *b) { return _dCalcVectorDot3(a,b,1,3); }
+ODE_PURE_INLINE dReal dCalcVectorDot3_31 (const dReal *a, const dReal *b) { return _dCalcVectorDot3(a,b,3,1); }
+ODE_PURE_INLINE dReal dCalcVectorDot3_33 (const dReal *a, const dReal *b) { return _dCalcVectorDot3(a,b,3,3); }
+ODE_PURE_INLINE dReal dCalcVectorDot3_14 (const dReal *a, const dReal *b) { return _dCalcVectorDot3(a,b,1,4); }
+ODE_PURE_INLINE dReal dCalcVectorDot3_41 (const dReal *a, const dReal *b) { return _dCalcVectorDot3(a,b,4,1); }
+ODE_PURE_INLINE dReal dCalcVectorDot3_44 (const dReal *a, const dReal *b) { return _dCalcVectorDot3(a,b,4,4); }
+
+
+/*
+ * cross product, set res = a x b. _dCalcVectorCross3 means that elements of `res', `a'
+ * and `b' are spaced step_res, step_a and step_b indexes apart respectively.
+ * dCalcVectorCross3() means dCross3111.
+ */
+
+ODE_PURE_INLINE void _dCalcVectorCross3(dReal *res, const dReal *a, const dReal *b, unsigned step_res, unsigned step_a, unsigned step_b)
+{
+ const dReal res_0 = a[ step_a]*b[2*step_b] - a[2*step_a]*b[ step_b];
+ const dReal res_1 = a[2*step_a]*b[ 0] - a[ 0]*b[2*step_b];
+ const dReal res_2 = a[ 0]*b[ step_b] - a[ step_a]*b[ 0];
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[ 0] = res_0;
+ res[ step_res] = res_1;
+ res[2*step_res] = res_2;
+}
+
+ODE_PURE_INLINE void dCalcVectorCross3 (dReal *res, const dReal *a, const dReal *b) { _dCalcVectorCross3(res, a, b, 1, 1, 1); }
+ODE_PURE_INLINE void dCalcVectorCross3_114(dReal *res, const dReal *a, const dReal *b) { _dCalcVectorCross3(res, a, b, 1, 1, 4); }
+ODE_PURE_INLINE void dCalcVectorCross3_141(dReal *res, const dReal *a, const dReal *b) { _dCalcVectorCross3(res, a, b, 1, 4, 1); }
+ODE_PURE_INLINE void dCalcVectorCross3_144(dReal *res, const dReal *a, const dReal *b) { _dCalcVectorCross3(res, a, b, 1, 4, 4); }
+ODE_PURE_INLINE void dCalcVectorCross3_411(dReal *res, const dReal *a, const dReal *b) { _dCalcVectorCross3(res, a, b, 4, 1, 1); }
+ODE_PURE_INLINE void dCalcVectorCross3_414(dReal *res, const dReal *a, const dReal *b) { _dCalcVectorCross3(res, a, b, 4, 1, 4); }
+ODE_PURE_INLINE void dCalcVectorCross3_441(dReal *res, const dReal *a, const dReal *b) { _dCalcVectorCross3(res, a, b, 4, 4, 1); }
+ODE_PURE_INLINE void dCalcVectorCross3_444(dReal *res, const dReal *a, const dReal *b) { _dCalcVectorCross3(res, a, b, 4, 4, 4); }
+
+ODE_PURE_INLINE void dAddVectorCross3(dReal *res, const dReal *a, const dReal *b)
+{
+ dReal tmp[3];
+ dCalcVectorCross3(tmp, a, b);
+ dAddVectors3(res, res, tmp);
+}
+
+ODE_PURE_INLINE void dSubtractVectorCross3(dReal *res, const dReal *a, const dReal *b)
+{
+ dReal tmp[3];
+ dCalcVectorCross3(tmp, a, b);
+ dSubtractVectors3(res, res, tmp);
+}
+
+
+/*
+ * set a 3x3 submatrix of A to a matrix such that submatrix(A)*b = a x b.
+ * A is stored by rows, and has `skip' elements per row. the matrix is
+ * assumed to be already zero, so this does not write zero elements!
+ * if (plus,minus) is (+,-) then a positive version will be written.
+ * if (plus,minus) is (-,+) then a negative version will be written.
+ */
+
+ODE_PURE_INLINE void dSetCrossMatrixPlus(dReal *res, const dReal *a, unsigned skip)
+{
+ const dReal a_0 = a[0], a_1 = a[1], a_2 = a[2];
+ res[1] = -a_2;
+ res[2] = +a_1;
+ res[skip+0] = +a_2;
+ res[skip+2] = -a_0;
+ res[2*skip+0] = -a_1;
+ res[2*skip+1] = +a_0;
+}
+
+ODE_PURE_INLINE void dSetCrossMatrixMinus(dReal *res, const dReal *a, unsigned skip)
+{
+ const dReal a_0 = a[0], a_1 = a[1], a_2 = a[2];
+ res[1] = +a_2;
+ res[2] = -a_1;
+ res[skip+0] = -a_2;
+ res[skip+2] = +a_0;
+ res[2*skip+0] = +a_1;
+ res[2*skip+1] = -a_0;
+}
+
+
+/*
+ * compute the distance between two 3D-vectors
+ */
+
+ODE_PURE_INLINE dReal dCalcPointsDistance3(const dReal *a, const dReal *b)
+{
+ dReal res;
+ dReal tmp[3];
+ dSubtractVectors3(tmp, a, b);
+ res = dCalcVectorLength3(tmp);
+ return res;
+}
+
+/*
+ * special case matrix multiplication, with operator selection
+ */
+
+ODE_PURE_INLINE void dMultiplyHelper0_331(dReal *res, const dReal *a, const dReal *b)
+{
+ const dReal res_0 = dCalcVectorDot3(a, b);
+ const dReal res_1 = dCalcVectorDot3(a + 4, b);
+ const dReal res_2 = dCalcVectorDot3(a + 8, b);
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dMultiplyHelper1_331(dReal *res, const dReal *a, const dReal *b)
+{
+ const dReal res_0 = dCalcVectorDot3_41(a, b);
+ const dReal res_1 = dCalcVectorDot3_41(a + 1, b);
+ const dReal res_2 = dCalcVectorDot3_41(a + 2, b);
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+ODE_PURE_INLINE void dMultiplyHelper0_133(dReal *res, const dReal *a, const dReal *b)
+{
+ dMultiplyHelper1_331(res, b, a);
+}
+
+ODE_PURE_INLINE void dMultiplyHelper1_133(dReal *res, const dReal *a, const dReal *b)
+{
+ const dReal res_0 = dCalcVectorDot3_44(a, b);
+ const dReal res_1 = dCalcVectorDot3_44(a + 1, b);
+ const dReal res_2 = dCalcVectorDot3_44(a + 2, b);
+ /* Only assign after all the calculations are over to avoid incurring memory aliasing*/
+ res[0] = res_0; res[1] = res_1; res[2] = res_2;
+}
+
+/*
+Note: NEVER call any of these functions/macros with the same variable for A and C,
+it is not equivalent to A*=B.
+*/
+
+ODE_PURE_INLINE void dMultiply0_331(dReal *res, const dReal *a, const dReal *b)
+{
+ dMultiplyHelper0_331(res, a, b);
+}
+
+ODE_PURE_INLINE void dMultiply1_331(dReal *res, const dReal *a, const dReal *b)
+{
+ dMultiplyHelper1_331(res, a, b);
+}
+
+ODE_PURE_INLINE void dMultiply0_133(dReal *res, const dReal *a, const dReal *b)
+{
+ dMultiplyHelper0_133(res, a, b);
+}
+
+ODE_PURE_INLINE void dMultiply0_333(dReal *res, const dReal *a, const dReal *b)
+{
+ dMultiplyHelper0_133(res + 0, a + 0, b);
+ dMultiplyHelper0_133(res + 4, a + 4, b);
+ dMultiplyHelper0_133(res + 8, a + 8, b);
+}
+
+ODE_PURE_INLINE void dMultiply1_333(dReal *res, const dReal *a, const dReal *b)
+{
+ dMultiplyHelper1_133(res + 0, b, a + 0);
+ dMultiplyHelper1_133(res + 4, b, a + 1);
+ dMultiplyHelper1_133(res + 8, b, a + 2);
+}
+
+ODE_PURE_INLINE void dMultiply2_333(dReal *res, const dReal *a, const dReal *b)
+{
+ dMultiplyHelper0_331(res + 0, b, a + 0);
+ dMultiplyHelper0_331(res + 4, b, a + 4);
+ dMultiplyHelper0_331(res + 8, b, a + 8);
+}
+
+ODE_PURE_INLINE void dMultiplyAdd0_331(dReal *res, const dReal *a, const dReal *b)
+{
+ dReal tmp[3];
+ dMultiplyHelper0_331(tmp, a, b);
+ dAddVectors3(res, res, tmp);
+}
+
+ODE_PURE_INLINE void dMultiplyAdd1_331(dReal *res, const dReal *a, const dReal *b)
+{
+ dReal tmp[3];
+ dMultiplyHelper1_331(tmp, a, b);
+ dAddVectors3(res, res, tmp);
+}
+
+ODE_PURE_INLINE void dMultiplyAdd0_133(dReal *res, const dReal *a, const dReal *b)
+{
+ dReal tmp[3];
+ dMultiplyHelper0_133(tmp, a, b);
+ dAddVectors3(res, res, tmp);
+}
+
+ODE_PURE_INLINE void dMultiplyAdd0_333(dReal *res, const dReal *a, const dReal *b)
+{
+ dReal tmp[3];
+ dMultiplyHelper0_133(tmp, a + 0, b);
+ dAddVectors3(res+ 0, res + 0, tmp);
+ dMultiplyHelper0_133(tmp, a + 4, b);
+ dAddVectors3(res + 4, res + 4, tmp);
+ dMultiplyHelper0_133(tmp, a + 8, b);
+ dAddVectors3(res + 8, res + 8, tmp);
+}
+
+ODE_PURE_INLINE void dMultiplyAdd1_333(dReal *res, const dReal *a, const dReal *b)
+{
+ dReal tmp[3];
+ dMultiplyHelper1_133(tmp, b, a + 0);
+ dAddVectors3(res + 0, res + 0, tmp);
+ dMultiplyHelper1_133(tmp, b, a + 1);
+ dAddVectors3(res + 4, res + 4, tmp);
+ dMultiplyHelper1_133(tmp, b, a + 2);
+ dAddVectors3(res + 8, res + 8, tmp);
+}
+
+ODE_PURE_INLINE void dMultiplyAdd2_333(dReal *res, const dReal *a, const dReal *b)
+{
+ dReal tmp[3];
+ dMultiplyHelper0_331(tmp, b, a + 0);
+ dAddVectors3(res + 0, res + 0, tmp);
+ dMultiplyHelper0_331(tmp, b, a + 4);
+ dAddVectors3(res + 4, res + 4, tmp);
+ dMultiplyHelper0_331(tmp, b, a + 8);
+ dAddVectors3(res + 8, res + 8, tmp);
+}
+
+ODE_PURE_INLINE dReal dCalcMatrix3Det( const dReal* mat )
+{
+ dReal det;
+
+ det = mat[0] * ( mat[5]*mat[10] - mat[9]*mat[6] )
+ - mat[1] * ( mat[4]*mat[10] - mat[8]*mat[6] )
+ + mat[2] * ( mat[4]*mat[9] - mat[8]*mat[5] );
+
+ return( det );
+}
+
+/**
+ Closed form matrix inversion, copied from
+ collision_util.h for use in the stepper.
+
+ Returns the determinant.
+ returns 0 and does nothing
+ if the matrix is singular.
+*/
+ODE_PURE_INLINE dReal dInvertMatrix3(dReal *dst, const dReal *ma)
+{
+ dReal det;
+ dReal detRecip;
+
+ det = dCalcMatrix3Det( ma );
+
+
+ /* Setting an arbitrary non-zero threshold
+ for the determinant doesn't do anyone
+ any favors. The condition number is the
+ important thing. If all the eigen-values
+ of the matrix are small, so is the
+ determinant, but it can still be well
+ conditioned.
+ A single extremely large eigen-value could
+ push the determinant over threshold, but
+ produce a very unstable result if the other
+ eigen-values are small. So we just say that
+ the determinant must be non-zero and trust the
+ caller to provide well-conditioned matrices.
+ */
+ if ( det == 0 )
+ {
+ return 0;
+ }
+
+ detRecip = dRecip(det);
+
+ dst[0] = ( ma[5]*ma[10] - ma[6]*ma[9] ) * detRecip;
+ dst[1] = ( ma[9]*ma[2] - ma[1]*ma[10] ) * detRecip;
+ dst[2] = ( ma[1]*ma[6] - ma[5]*ma[2] ) * detRecip;
+
+ dst[4] = ( ma[6]*ma[8] - ma[4]*ma[10] ) * detRecip;
+ dst[5] = ( ma[0]*ma[10] - ma[8]*ma[2] ) * detRecip;
+ dst[6] = ( ma[4]*ma[2] - ma[0]*ma[6] ) * detRecip;
+
+ dst[8] = ( ma[4]*ma[9] - ma[8]*ma[5] ) * detRecip;
+ dst[9] = ( ma[8]*ma[1] - ma[0]*ma[9] ) * detRecip;
+ dst[10] = ( ma[0]*ma[5] - ma[1]*ma[4] ) * detRecip;
+
+ return det;
+}
+
+
+/* Include legacy macros here */
+#include <ode/odemath_legacy.h>
+
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/*
+ * normalize 3x1 and 4x1 vectors (i.e. scale them to unit length)
+ */
+
+/* For DLL export*/
+ODE_API int dSafeNormalize3 (dVector3 a);
+ODE_API int dSafeNormalize4 (dVector4 a);
+ODE_API void dNormalize3 (dVector3 a); /* Potentially asserts on zero vec*/
+ODE_API void dNormalize4 (dVector4 a); /* Potentially asserts on zero vec*/
+
+/*
+ * given a unit length "normal" vector n, generate vectors p and q vectors
+ * that are an orthonormal basis for the plane space perpendicular to n.
+ * i.e. this makes p,q such that n,p,q are all perpendicular to each other.
+ * q will equal n x p. if n is not unit length then p will be unit length but
+ * q wont be.
+ */
+
+ODE_API void dPlaneSpace (const dVector3 n, dVector3 p, dVector3 q);
+/* Makes sure the matrix is a proper rotation, returns a boolean status */
+ODE_API int dOrthogonalizeR(dMatrix3 m);
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+
+#endif
projects / xonotic / xonotic.git / blobdiff