diff options
Diffstat (limited to 'src/Math.c')
| -rw-r--r-- | src/Math.c | 2270 |
1 files changed, 0 insertions, 2270 deletions
diff --git a/src/Math.c b/src/Math.c deleted file mode 100644 index 82f4ec3..0000000 --- a/src/Math.c +++ /dev/null @@ -1,2270 +0,0 @@ -#include <BH/Math.h> - -#include <math.h> -#include <string.h> - - -/*#define EPSILON 0.00001f*/ -#define EPSILON 0.00001f -#define PI 3.14159265358979323846f - - -void BH_Vec4fAdd(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] + b[0]; - out[1] = a[1] + b[1]; - out[2] = a[2] + b[2]; - out[3] = a[3] + b[3]; -} - - -void BH_Vec4fSub(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] - b[0]; - out[1] = a[1] - b[1]; - out[2] = a[2] - b[2]; - out[3] = a[3] - b[3]; -} - - -void BH_Vec4fMul(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] * b[0]; - out[1] = a[1] * b[1]; - out[2] = a[2] * b[2]; - out[3] = a[3] * b[3]; -} - - -void BH_Vec4fScale(const float *a, - const float b, - float *out) -{ - out[0] = a[0] * b; - out[1] = a[1] * b; - out[2] = a[2] * b; - out[3] = a[3] * b; -} - - -void BH_Vec4fMulAdd(const float *a, - const float *b, - const float *c, - float *out) -{ - out[0] = a[0] * b[0] + c[0]; - out[1] = a[1] * b[1] + c[1]; - out[2] = a[2] * b[2] + c[2]; - out[3] = a[3] * b[3] + c[3]; -} - - -void BH_Vec4fNegate(const float *in, - float *out) -{ - out[0] = -in[0]; - out[1] = -in[1]; - out[2] = -in[2]; - out[3] = -in[3]; -} - - -float BH_Vec4fDot(const float *a, - const float *b) -{ - return a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3]; -} - - -float BH_Vec4fLength(const float *in) -{ - return sqrtf(BH_Vec4fDot(in, in)); -} - - -void BH_Vec4fNormal(const float *in, - float *out) -{ - BH_Vec4fScale(in, 1.0f / BH_Vec4fLength(in), out); -} - - -float BH_Vec4fNormalEx(const float *in, - float *out) -{ - float length; - - length = BH_Vec4fLength(in); - BH_Vec4fScale(in, 1.0f / length, out); - return length; -} - - -void BH_Vec4fMin(const float *a, - const float *b, - float *out) -{ - if (a[0] < b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] < b[1]) out[1] = a[1]; else out[1] = b[1]; - if (a[2] < b[2]) out[2] = a[2]; else out[2] = b[2]; - if (a[3] < b[3]) out[3] = a[3]; else out[3] = b[3]; -} - - -void BH_Vec4fMax(const float *a, - const float *b, - float *out) -{ - if (a[0] > b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] > b[1]) out[1] = a[1]; else out[1] = b[1]; - if (a[2] > b[2]) out[2] = a[2]; else out[2] = b[2]; - if (a[3] > b[3]) out[3] = a[3]; else out[3] = b[3]; -} - - -void BH_Vec4fLerp(const float *a, - const float *b, - float t, - float *out) -{ - float tmp[4]; - - BH_Vec4fSub(b, a, tmp); - BH_Vec4fScale(tmp, t, tmp); - BH_Vec4fAdd(a, tmp, out); -} - - -void BH_Vec4fProject(const float *a, - const float *b, - float *out) -{ - float amount; - - amount = BH_Vec4fDot(a, b) / BH_Vec4fDot(b, b); - BH_Vec4fScale(b, amount, out); -} - - -void BH_Vec4fBarycentric(const float *a, - const float *b, - const float *c, - float v, - float w, - float *out) -{ - float tmp1[4], tmp2[4]; - float u; - - u = 1.0f - v - w; - tmp1[0] = tmp1[1] = tmp1[2] = tmp1[3] = u; BH_Vec4fMul(a, tmp1, tmp2); - tmp1[0] = tmp1[1] = tmp1[2] = tmp1[3] = v; BH_Vec4fMulAdd(b, tmp1, tmp2, tmp2); - tmp1[0] = tmp1[1] = tmp1[2] = tmp1[3] = w; BH_Vec4fMulAdd(c, tmp1, tmp2, out); -} - - -void BH_Vec3fAdd(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] + b[0]; - out[1] = a[1] + b[1]; - out[2] = a[2] + b[2]; -} - - -void BH_Vec3fSub(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] - b[0]; - out[1] = a[1] - b[1]; - out[2] = a[2] - b[2]; -} - - -void BH_Vec3fMul(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] * b[0]; - out[1] = a[1] * b[1]; - out[2] = a[2] * b[2]; -} - - -void BH_Vec3fScale(const float *a, - const float b, - float *out) -{ - out[0] = a[0] * b; - out[1] = a[1] * b; - out[2] = a[2] * b; -} - - -void BH_Vec3fMulAdd(const float *a, - const float *b, - const float *c, - float *out) -{ - out[0] = a[0] * b[0] + c[0]; - out[1] = a[1] * b[1] + c[1]; - out[2] = a[2] * b[2] + c[2]; -} - - -void BH_Vec3fNegate(const float *in, - float *out) -{ - out[0] = -in[0]; - out[1] = -in[1]; - out[2] = -in[2]; -} - - -float BH_Vec3fDot(const float *a, - const float *b) -{ - return a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; -} - - -void BH_Vec3fCross(const float *a, - const float *b, - float *out) -{ - float tmp[3]; - - tmp[0] = a[1] * b[2] - a[2] * b[1]; - tmp[1] = a[2] * b[0] - a[0] * b[2]; - tmp[2] = a[0] * b[1] - a[1] * b[0]; - memcpy(out, tmp, sizeof(tmp)); -} - - -float BH_Vec3fLength(const float *in) -{ - return sqrtf(BH_Vec3fDot(in, in)); -} - - -void BH_Vec3fNormal(const float *in, - float *out) -{ - BH_Vec3fScale(in, 1.0f / BH_Vec3fLength(in), out); -} - - -float BH_Vec3fNormalEx(const float *in, - float *out) -{ - float length; - - length = BH_Vec3fLength(in); - BH_Vec3fScale(in, 1.0f / length, out); - return length; -} - - -void BH_Vec3fMin(const float *a, - const float *b, - float *out) -{ - if (a[0] < b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] < b[1]) out[1] = a[1]; else out[1] = b[1]; - if (a[2] < b[2]) out[2] = a[2]; else out[2] = b[2]; -} - - -void BH_Vec3fMax(const float *a, - const float *b, - float *out) -{ - if (a[0] > b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] > b[1]) out[1] = a[1]; else out[1] = b[1]; - if (a[2] > b[2]) out[2] = a[2]; else out[2] = b[2]; -} - - -void BH_Vec3fLerp(const float *a, - const float *b, - float t, - float *out) -{ - float tmp[3]; - - BH_Vec3fSub(b, a, tmp); - BH_Vec3fScale(tmp, t, tmp); - BH_Vec3fAdd(a, tmp, out); -} - - -void BH_Vec3fProject(const float *a, - const float *b, - float *out) -{ - float amount; - - amount = BH_Vec3fDot(a, b) / BH_Vec3fDot(b, b); - BH_Vec3fScale(b, amount, out); -} - - -void BH_Vec3fBarycentric(const float *a, - const float *b, - const float *c, - float v, - float w, - float *out) -{ - float tmp1[3], tmp2[3]; - float u; - - u = 1.0f - v - w; - tmp1[0] = tmp1[1] = tmp1[2] = u; BH_Vec3fMul(a, tmp1, tmp2); - tmp1[0] = tmp1[1] = tmp1[2] = v; BH_Vec3fMulAdd(b, tmp1, tmp2, tmp2); - tmp1[0] = tmp1[1] = tmp1[2] = w; BH_Vec3fMulAdd(c, tmp1, tmp2, out); -} - - -void BH_Vec2fAdd(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] + b[0]; - out[1] = a[1] + b[1]; -} - - -void BH_Vec2fSub(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] - b[0]; - out[1] = a[1] - b[1]; -} - - -void BH_Vec2fMul(const float *a, - const float *b, - float *out) -{ - out[0] = a[0] * b[0]; - out[1] = a[1] * b[1]; -} - - -void BH_Vec2fScale(const float *a, - const float b, - float *out) -{ - out[0] = a[0] * b; - out[1] = a[1] * b; -} - - -void BH_Vec2fMulAdd(const float *a, - const float *b, - const float *c, - float *out) -{ - out[0] = a[0] * b[0] + c[0]; - out[1] = a[1] * b[1] + c[1]; -} - - -void BH_Vec2fNegate(const float *in, - float *out) -{ - out[0] = -in[0]; - out[1] = -in[1]; -} - - -float BH_Vec2fDot(const float *a, - const float *b) -{ - return a[0] * b[0] + a[1] * b[1]; -} - - -float BH_Vec2fCross(const float *a, - const float *b) -{ - return a[0] * b[1] - a[1] * b[0]; -} - - -float BH_Vec2fLength(const float *in) -{ - return sqrtf(BH_Vec2fDot(in, in)); -} - - -void BH_Vec2fNormal(const float *in, - float *out) -{ - BH_Vec2fScale(in, 1.0f / BH_Vec2fLength(in), out); -} - - -float BH_Vec2fNormalEx(const float *in, - float *out) -{ - float length; - - length = BH_Vec2fLength(in); - BH_Vec2fScale(in, 1.0f / length, out); - return length; -} - - -void BH_Vec2fMin(const float *a, - const float *b, - float *out) -{ - if (a[0] < b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] < b[1]) out[1] = a[1]; else out[1] = b[1]; -} - - -void BH_Vec2fMax(const float *a, - const float *b, - float *out) -{ - if (a[0] > b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] > b[1]) out[1] = a[1]; else out[1] = b[1]; -} - - -void BH_Vec2fLerp(const float *a, - const float *b, - float t, - float *out) -{ - float tmp[2]; - - BH_Vec2fSub(b, a, tmp); - BH_Vec2fScale(tmp, t, tmp); - BH_Vec2fAdd(a, tmp, out); -} - - -void BH_Vec2fProject(const float *a, - const float *b, - float *out) -{ - float amount; - - amount = BH_Vec2fDot(a, b) / BH_Vec2fDot(b, b); - BH_Vec2fScale(b, amount, out); -} - - -void BH_Vec2fBarycentric(const float *a, - const float *b, - const float *c, - float v, - float w, - float *out) -{ - float tmp1[2], tmp2[2]; - float u; - - u = 1.0f - v - w; - tmp1[0] = tmp1[1] = u; BH_Vec2fMul(a, tmp1, tmp2); - tmp1[0] = tmp1[1] = v; BH_Vec2fMulAdd(b, tmp1, tmp2, tmp2); - tmp1[0] = tmp1[1] = w; BH_Vec2fMulAdd(c, tmp1, tmp2, out); -} - - -float BH_Lerpf(float a, float b, float t) -{ - return a + (b - a) * t; -} - - -void BH_Vec4iAdd(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] + b[0]; - out[1] = a[1] + b[1]; - out[2] = a[2] + b[2]; - out[3] = a[3] + b[3]; -} - - -void BH_Vec4iSub(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] - b[0]; - out[1] = a[1] - b[1]; - out[2] = a[2] - b[2]; - out[3] = a[3] - b[3]; -} - - -void BH_Vec4iMul(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] * b[0]; - out[1] = a[1] * b[1]; - out[2] = a[2] * b[2]; - out[3] = a[3] * b[3]; -} - - -void BH_Vec4iScale(const int *a, - int b, - int *out) -{ - out[0] = a[0] * b; - out[1] = a[1] * b; - out[2] = a[2] * b; - out[3] = a[3] * b; -} - - -void BH_Vec4iMulAdd(const int *a, - const int *b, - const int *c, - int *out) -{ - out[0] = a[0] * b[0] + c[0]; - out[1] = a[1] * b[1] + c[1]; - out[2] = a[2] * b[2] + c[2]; - out[3] = a[3] * b[3] + c[3]; -} - - -void BH_Vec4iNegate(const int *in, - int *out) -{ - out[0] = -in[0]; - out[1] = -in[1]; - out[2] = -in[2]; - out[3] = -in[3]; -} - - -void BH_Vec4iMin(const int *a, - const int *b, - int *out) -{ - if (a[0] < b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] < b[1]) out[1] = a[1]; else out[1] = b[1]; - if (a[2] < b[2]) out[2] = a[2]; else out[2] = b[2]; - if (a[3] < b[3]) out[3] = a[3]; else out[3] = b[3]; -} - - -void BH_Vec4iMax(const int *a, - const int *b, - int *out) -{ - if (a[0] > b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] > b[1]) out[1] = a[1]; else out[1] = b[1]; - if (a[2] > b[2]) out[2] = a[2]; else out[2] = b[2]; - if (a[3] > b[3]) out[3] = a[3]; else out[3] = b[3]; -} - - -void BH_Vec3iAdd(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] + b[0]; - out[1] = a[1] + b[1]; - out[2] = a[2] + b[2]; -} - - -void BH_Vec3iSub(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] - b[0]; - out[1] = a[1] - b[1]; - out[2] = a[2] - b[2]; -} - - -void BH_Vec3iMul(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] * b[0]; - out[1] = a[1] * b[1]; - out[2] = a[2] * b[2]; -} - - -void BH_Vec3iScale(const int *a, - int b, - int *out) -{ - out[0] = a[0] * b; - out[1] = a[1] * b; - out[2] = a[2] * b; -} - - -void BH_Vec3iMulAdd(const int *a, - const int *b, - const int *c, - int *out) -{ - out[0] = a[0] * b[0] + c[0]; - out[1] = a[1] * b[1] + c[1]; - out[2] = a[2] * b[2] + c[2]; -} - - -void BH_Vec3iNegate(const int *in, - int *out) -{ - out[0] = -in[0]; - out[1] = -in[1]; - out[2] = -in[2]; -} - - -void BH_Vec3iMin(const int *a, - const int *b, - int *out) -{ - if (a[0] < b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] < b[1]) out[1] = a[1]; else out[1] = b[1]; - if (a[2] < b[2]) out[2] = a[2]; else out[2] = b[2]; -} - - -void BH_Vec3iMax(const int *a, - const int *b, - int *out) -{ - if (a[0] > b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] > b[1]) out[1] = a[1]; else out[1] = b[1]; - if (a[2] > b[2]) out[2] = a[2]; else out[2] = b[2]; -} - - -void BH_Vec2iAdd(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] + b[0]; - out[1] = a[1] + b[1]; -} - - -void BH_Vec2iSub(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] - b[0]; - out[1] = a[1] - b[1]; -} - - -void BH_Vec2iMul(const int *a, - const int *b, - int *out) -{ - out[0] = a[0] * b[0]; - out[1] = a[1] * b[1]; -} - - -void BH_Vec2iScale(const int *a, - int b, - int *out) -{ - out[0] = a[0] * b; - out[1] = a[1] * b; -} - - -void BH_Vec2iMulAdd(const int *a, - const int *b, - const int *c, - int *out) -{ - out[0] = a[0] * b[0] + c[0]; - out[1] = a[1] * b[1] + c[1]; -} - - -void BH_Vec2iNegate(const int *in, - int *out) -{ - out[0] = -in[0]; - out[1] = -in[1]; -} - - -void BH_Vec2iMin(const int *a, - const int *b, - int *out) -{ - if (a[0] < b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] < b[1]) out[1] = a[1]; else out[1] = b[1]; -} - - -void BH_Vec2iMax(const int *a, - const int *b, - int *out) -{ - if (a[0] > b[0]) out[0] = a[0]; else out[0] = b[0]; - if (a[1] > b[1]) out[1] = a[1]; else out[1] = b[1]; -} - - -void BH_Quat4fIdentity(float *out) -{ - static const float ident[4] = {0.0f, 0.0f, 0.0f, 1.0f}; - memcpy(out, ident, sizeof(ident)); -} - - -void BH_Quat4fConjugate(const float *in, - float *out) -{ - out[0] = -in[0]; - out[1] = -in[1]; - out[2] = -in[2]; - out[3] = in[3]; -} - - -void BH_Quat4fInverse(const float *in, - float *out) -{ - float dot; - - dot = BH_Vec4fDot(in, in); - BH_Quat4fConjugate(in, out); - BH_Quat4fScale(out, 1.0f / dot, out); -} - - -void BH_Quat4fMul(const float *a, - const float *b, - float *out) -{ - float tmp1[4], tmp2[4], tmp3[4]; - float w; - - w = a[3] * b[3] - BH_Vec3fDot(a, b); - BH_Vec4fScale(a, b[3], tmp1); - BH_Vec4fScale(b, a[3], tmp2); - BH_Vec3fCross(a, b, tmp3); - BH_Vec4fAdd(tmp1, tmp2, out); - BH_Vec4fAdd(tmp3, out, out); - out[3] = w; -} - - -void BH_Quat4fSlerp(const float *a, - const float *b, - float t, - float *out) -{ - float angle, denom; - float from[4], to[4]; - - angle = acosf(BH_Vec4fDot(a, b)); - if (fabsf(angle) < EPSILON) - { - BH_Vec4fLerp(a, b, t, out); - return; - } - - denom = 1.0f / sinf(angle); - BH_Vec4fScale(a, sinf((1 - t) * angle) * denom, from); - BH_Vec4fScale(b, sinf(t * angle) * denom, to); - BH_Vec4fAdd(from, to, out); -} - - -void BH_Quat4fFromEuler(float roll, - float pitch, - float yaw, - float *out) -{ - float cr, cp, cy, sr, sp, sy; - - cr = cosf(roll / 2.0f); - cp = cosf(pitch / 2.0f); - cy = cosf(yaw / 2.0f); - sr = sinf(roll / 2.0f); - sp = sinf(pitch / 2.0f); - sy = sinf(yaw / 2.0f); - - out[0] = sr * cp * cy - cr * sp * sy; - out[1] = cr * sp * cy + sr * cp * sy; - out[2] = cr * cp * sy - sr * sp * cy; - out[3] = cr * cp * cy + sr * sp * sy; -} - - -void BH_Quat4fFromAxis(const float *axis, - float angle, - float *out) -{ - float c, s; - - c = cosf(angle / 2.0f); - s = sinf(angle / 2.0f); - - out[0] = axis[0] * s; - out[1] = axis[1] * s; - out[2] = axis[2] * s; - out[3] = c; -} - - -void BH_Quat4fToEuler(const float *in, - float *roll, - float *pitch, - float *yaw) -{ - float ww, xw, yw, zw, xx, xy, xz, yy, yz, zz, angle; - - xx = in[0] * in[0]; - xy = in[0] * in[1]; - xz = in[0] * in[2]; - xw = in[0] * in[3]; - yy = in[1] * in[1]; - yz = in[1] * in[2]; - yw = in[1] * in[3]; - zz = in[2] * in[2]; - zw = in[2] * in[3]; - ww = in[3] * in[3]; - - angle = 2.0f * (yw - xz); - if (angle > 1.0f) - angle = 1.0f; - if (angle < -1.0f) - angle = -1.0f; - - *pitch = asinf(angle); - - if (fabsf(*pitch - (PI / 2.0f)) < EPSILON) - { - *roll = 0.0f; - *yaw = -2.0f * atan2f(in[0], in[3]); - } - else if (fabsf(*pitch - (PI / -2.0f)) < EPSILON) - { - *roll = 0.0f; - *yaw = 2.0f * atan2f(in[0], in[3]); - } - else - { - *roll = atan2f(2.0f * (xw + yz), ww - xx - yy + zz); - *yaw = atan2f(2.0f * (zw + xy), ww + xx - yy - zz); - } -} - - -void BH_Quat4fToAxis(const float *in, - float *axis, - float *angle) -{ - *angle = 2.0f * acosf(in[3]); - - if (fabsf(*angle) < EPSILON) - { - axis[0] = 1.0f; - axis[1] = 0.0f; - axis[2] = 0.0f; - } - else - { - float tmp; - - tmp = sqrtf(1.0f - in[3] * in[3]); - axis[0] = in[0] / tmp; - axis[1] = in[1] / tmp; - axis[2] = in[2] / tmp; - } -} - - -void BH_Quat4fToMat4f(const float *in, - float *out) -{ - float xx, xy, xz, xw, yy, yz, yw, zz, zw; - - xx = in[0] * in[0]; - xy = in[0] * in[1]; - xz = in[0] * in[2]; - xw = in[0] * in[3]; - yy = in[1] * in[1]; - yz = in[1] * in[2]; - yw = in[1] * in[3]; - zz = in[2] * in[2]; - zw = in[2] * in[3]; - - BH_Mat4fIdentity(out); - out[0] = 1.0f - 2.0f * (yy + zz); - out[1] = 2.0f * (xy + zw); - out[2] = 2.0f * (xz - yw); - out[4] = 2.0f * (xy - zw); - out[5] = 1.0f - 2.0f * (xx + zz); - out[6] = 2.0f * (yz + xw); - out[8] = 2.0f * (xz + yw); - out[9] = 2.0f * (yz - xw); - out[10] = 1.0f - 2.0f * (xx + yy); -} - - -void BH_Mat4fIdentity(float *out) -{ - const float ident[16] = - { - 1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f - }; - - memcpy(out, ident, sizeof(ident)); -} - - -void BH_Mat4fAdd(const float *a, - const float *b, - float *out) -{ - BH_Vec4fAdd(&a[0], &b[0], &out[0]); - BH_Vec4fAdd(&a[4], &b[4], &out[4]); - BH_Vec4fAdd(&a[8], &b[8], &out[8]); - BH_Vec4fAdd(&a[12], &b[12], &out[12]); -} - - -void BH_Mat4fSub(const float *a, - const float *b, - float *out) -{ - BH_Vec4fSub(&a[0], &b[0], &out[0]); - BH_Vec4fSub(&a[4], &b[4], &out[4]); - BH_Vec4fSub(&a[8], &b[8], &out[8]); - BH_Vec4fSub(&a[12], &b[12], &out[12]); -} - - -void BH_Mat4fMul(const float *a, - const float *b, - float *out) -{ - float tmp[16], row[4]; - - row[0] = row[1] = row[2] = row[3] = b[0]; BH_Vec4fMul(&a[0], row, &tmp[0]); - row[0] = row[1] = row[2] = row[3] = b[1]; BH_Vec4fMulAdd(&a[4], row, &tmp[0], &tmp[0]); - row[0] = row[1] = row[2] = row[3] = b[2]; BH_Vec4fMulAdd(&a[8], row, &tmp[0], &tmp[0]); - row[0] = row[1] = row[2] = row[3] = b[3]; BH_Vec4fMulAdd(&a[12], row, &tmp[0], &tmp[0]); - - row[0] = row[1] = row[2] = row[3] = b[4]; BH_Vec4fMul(&a[0], row, &tmp[4]); - row[0] = row[1] = row[2] = row[3] = b[5]; BH_Vec4fMulAdd(&a[4], row, &tmp[4], &tmp[4]); - row[0] = row[1] = row[2] = row[3] = b[6]; BH_Vec4fMulAdd(&a[8], row, &tmp[4], &tmp[4]); - row[0] = row[1] = row[2] = row[3] = b[7]; BH_Vec4fMulAdd(&a[12], row, &tmp[4], &tmp[4]); - - row[0] = row[1] = row[2] = row[3] = b[8]; BH_Vec4fMul(&a[0], row, &tmp[8]); - row[0] = row[1] = row[2] = row[3] = b[9]; BH_Vec4fMulAdd(&a[4], row, &tmp[8], &tmp[8]); - row[0] = row[1] = row[2] = row[3] = b[10]; BH_Vec4fMulAdd(&a[8], row, &tmp[8], &tmp[8]); - row[0] = row[1] = row[2] = row[3] = b[11]; BH_Vec4fMulAdd(&a[12], row, &tmp[8], &tmp[8]); - - row[0] = row[1] = row[2] = row[3] = b[12]; BH_Vec4fMul(&a[0], row, &tmp[12]); - row[0] = row[1] = row[2] = row[3] = b[13]; BH_Vec4fMulAdd(&a[4], row, &tmp[12], &tmp[12]); - row[0] = row[1] = row[2] = row[3] = b[14]; BH_Vec4fMulAdd(&a[8], row, &tmp[12], &tmp[12]); - row[0] = row[1] = row[2] = row[3] = b[15]; BH_Vec4fMulAdd(&a[12], row, &tmp[12], &tmp[12]); - - memcpy(out, tmp, sizeof(tmp)); -} - - -void BH_Mat4fScale(const float *a, - float b, - float *out) -{ - BH_Vec4fScale(&a[0], b, &out[0]); - BH_Vec4fScale(&a[4], b, &out[4]); - BH_Vec4fScale(&a[8], b, &out[8]); - BH_Vec4fScale(&a[12], b, &out[12]); -} - - -void BH_Mat4fTranspose(const float *in, - float *out) -{ - float tmp[16]; - - tmp[0] = in[0]; tmp[4] = in[1]; tmp[8] = in[2]; tmp[12] = in[3]; - tmp[1] = in[4]; tmp[5] = in[5]; tmp[9] = in[6]; tmp[13] = in[7]; - tmp[2] = in[8]; tmp[6] = in[9]; tmp[10] = in[10]; tmp[14] = in[11]; - tmp[3] = in[12]; tmp[7] = in[13]; tmp[11] = in[14]; tmp[15] = in[15]; - - memcpy(out, tmp, sizeof(tmp)); -} - - -float BH_Mat4fTrace(const float *in) -{ - return in[0] + in[5] + in[10] + in[15]; -} - - -float BH_Mat4fDet(const float *in) -{ - float a, b, c, d, e, f, result; - - a = in[2] * in[7] - in[3] * in[6]; - b = in[2] * in[11] - in[3] * in[10]; - c = in[2] * in[15] - in[3] * in[14]; - d = in[6] * in[11] - in[7] * in[10]; - e = in[6] * in[15] - in[7] * in[14]; - f = in[10] * in[15] - in[11] * in[14]; - - result = 0.0f; - result += in[0] * (in[5] * f - in[9] * e + in[13] * d); - result -= in[4] * (in[1] * f - in[9] * c + in[13] * b); - result += in[8] * (in[1] * e - in[5] * c + in[13] * a); - result -= in[12] * (in[1] * d - in[5] * b + in[9] * a); - - return result; -} - - -int BH_Mat4fInverse(const float *in, - float *out) -{ - float a, b, c, d, e, f, det; - float tmp[16]; - - a = in[2] * in[7] - in[3] * in[6]; - b = in[2] * in[11] - in[3] * in[10]; - c = in[2] * in[15] - in[3] * in[14]; - d = in[6] * in[11] - in[7] * in[10]; - e = in[6] * in[15] - in[7] * in[14]; - f = in[10] * in[15] - in[11] * in[14]; - - tmp[0] = (in[5] * f - in[9] * e + in[13] * d); - tmp[1] = -(in[1] * f - in[9] * c + in[13] * b); - tmp[2] = (in[1] * e - in[5] * c + in[13] * a); - tmp[3] = -(in[1] * d - in[5] * b + in[9] * a); - - det = 0.0f; - det += in[0] * tmp[0]; - det += in[4] * tmp[1]; - det += in[8] * tmp[2]; - det += in[12] * tmp[3]; - - if (fabsf(det) < EPSILON) - return BH_ERROR; - - tmp[4] = -(in[4] * f - in[8] * e + in[12] * d); - tmp[5] = (in[0] * f - in[8] * c + in[12] * b); - tmp[6] = -(in[0] * e - in[4] * c + in[12] * a); - tmp[7] = (in[0] * d - in[4] * b + in[8] * a); - - a = in[1] * in[7] - in[3] * in[5]; - b = in[1] * in[11] - in[3] * in[9]; - c = in[1] * in[15] - in[3] * in[13]; - d = in[5] * in[11] - in[7] * in[9]; - e = in[5] * in[15] - in[7] * in[13]; - f = in[9] * in[15] - in[11] * in[13]; - - tmp[8] = (in[4] * f - in[8] * e + in[12] * d); - tmp[9] = -(in[0] * f - in[8] * c + in[12] * b); - tmp[10] = (in[0] * e - in[4] * c + in[12] * a); - tmp[11] = -(in[0] * d - in[4] * b + in[8] * a); - - a = in[1] * in[6] - in[2] * in[5]; - b = in[1] * in[10] - in[2] * in[9]; - c = in[1] * in[14] - in[2] * in[13]; - d = in[5] * in[10] - in[6] * in[9]; - e = in[5] * in[14] - in[6] * in[13]; - f = in[9] * in[14] - in[10] * in[13]; - - tmp[12] = -(in[4] * f - in[8] * e + in[12] * d); - tmp[13] = (in[0] * f - in[8] * c + in[12] * b); - tmp[14] = -(in[0] * e - in[4] * c + in[12] * a); - tmp[15] = (in[0] * d - in[4] * b + in[8] * a); - - BH_Mat4fScale(tmp, 1.0f / det, out); - return BH_OK; -} - - -void BH_Mat4fFromScale(float x, - float y, - float z, - float *out) -{ - BH_Mat4fIdentity(out); - out[0] = x; - out[5] = y; - out[10] = z; -} - - -void BH_Mat4fFromTranslation(float x, - float y, - float z, - float *out) -{ - BH_Mat4fIdentity(out); - out[12] = x; - out[13] = y; - out[14] = z; -} - - -void BH_Mat4fFromRotationX(float angle, - float *out) -{ - float c, s; - - c = cosf(angle); - s = sinf(angle); - - BH_Mat4fIdentity(out); - out[5] = c; - out[6] = s; - out[9] = -s; - out[10] = c; -} - - -void BH_Mat4fFromRotationY(float angle, - float *out) -{ - float c, s; - - c = cosf(angle); - s = sinf(angle); - - BH_Mat4fIdentity(out); - out[0] = c; - out[2] = -s; - out[8] = s; - out[10] = c; -} - - -void BH_Mat4fFromRotationZ(float angle, - float *out) -{ - float c, s; - - c = cosf(angle); - s = sinf(angle); - - BH_Mat4fIdentity(out); - out[0] = c; - out[1] = s; - out[4] = -s; - out[5] = c; -} - - -void BH_Mat4fFromAxis(const float *axis, - float angle, - float *out) -{ - float x, y, z, length; - float c, s, moc, xx, xy, xz, yy, yz, zz; - - length = BH_Vec3fLength(axis); - BH_Mat4fIdentity(out); - - if (fabsf(length) < EPSILON) - return; - - x = axis[0] / length; - y = axis[1] / length; - z = axis[2] / length; - - c = cosf(angle); - s = sinf(angle); - moc = 1.0f - c; - - xx = x * x; - xy = x * y; - xz = x * z; - yy = y * y; - yz = y * z; - zz = z * z; - - out[0] = c + xx * moc; - out[1] = xy * moc + z * s; - out[2] = xz * moc - y * s; - - out[4] = xy * moc - z * s; - out[5] = c + yy * moc; - out[6] = yz * moc + x * s; - - out[8] = xz * moc + y * s; - out[9] = yz * moc - x * s; - out[10] = c + zz * moc; -} - - -void BH_Mat4fFromEuler(float roll, - float pitch, - float yaw, - float *out) -{ - float rs, rc, ys, yc, ps, pc; - - rs = sinf(roll); - rc = cosf(roll); - ps = sinf(pitch); - pc = cosf(pitch); - ys = sinf(yaw); - yc = cosf(yaw); - - BH_Mat4fIdentity(out); - out[0] = pc * yc; - out[1] = pc * ys; - out[2] = -ps; - out[4] = ps * rs * yc - rc * ys; - out[5] = ps * rs * ys + rc * yc; - out[6] = pc * rs; - out[8] = rs * ys + ps * rc * yc; - out[9] = ps * rc * ys - rs * yc; - out[10] = pc * rc; -} - - -void BH_Mat4fFromQuat4f(const float *in, - float *out) -{ - BH_Quat4fToMat4f(in, out); -} - - -void BH_Mat4fFromOrtho(float xMin, - float xMax, - float yMin, - float yMax, - float zMin, - float zMax, - float *out) -{ - float dx, dy, dz; - - dx = xMax - xMin; - dy = yMax - yMin; - dz = zMax - zMin; - - BH_Mat4fIdentity(out); - - out[0] = 2.0f / dx; - out[5] = 2.0f / dy; - out[10] = -2.0f / dz; - out[12] = -(xMax + xMin) / dx; - out[13] = -(yMax + yMin) / dy; - out[14] = -(zMax + zMin) / dz; -} - - -void BH_Mat4fFromFrustum(float fov, - float aspect, - float zMin, - float zMax, - float *out) -{ - float t, dz; - - dz = zMax - zMin; - t = tanf(fov / 2.0f); - - BH_Mat4fIdentity(out); - - out[0] = 1.0f / (aspect * t); - out[5] = 1.0f / t; - out[10] = -(zMax + zMin) / dz; - out[11] = -1.0f; - out[14] = -(2.0f * zMax * zMin) / dz; - out[15] = 0.0f; -} - - -void BH_Mat4fFromLookAt(const float *position, - const float *at, - const float *up, - float *out) -{ - float cameraDir[3], cameraRight[3], cameraUp[3]; - - BH_Vec3fSub(position, at, cameraDir); - BH_Vec3fNormal(cameraDir, cameraDir); - BH_Vec3fCross(up, cameraDir, cameraRight); - BH_Vec3fNormal(cameraRight, cameraRight); - BH_Vec3fCross(cameraDir, cameraRight, cameraUp); - - out[0] = cameraRight[0]; - out[1] = cameraUp[0]; - out[2] = cameraDir[0]; - out[3] = 0.0f; - - out[4] = cameraRight[1]; - out[5] = cameraUp[1]; - out[6] = cameraDir[1]; - out[7] = 0.0f; - - out[8] = cameraRight[2]; - out[9] = cameraUp[2]; - out[10] = cameraDir[2]; - out[11] = 0.0f; - - out[12] = -BH_Vec3fDot(cameraRight, position); - out[13] = -BH_Vec3fDot(cameraUp, position); - out[14] = -BH_Vec3fDot(cameraDir, position); - out[15] = 1.0f; -} - - -void BH_Mat4fApplyVec4f(const float *a, - const float *b, - float *out) -{ - float tmp[4], row[4]; - - row[0] = row[1] = row[2] = row[3] = b[0]; BH_Vec4fMul(&a[0], row, tmp); - row[0] = row[1] = row[2] = row[3] = b[1]; BH_Vec4fMulAdd(&a[4], row, tmp, tmp); - row[0] = row[1] = row[2] = row[3] = b[2]; BH_Vec4fMulAdd(&a[8], row, tmp, tmp); - row[0] = row[1] = row[2] = row[3] = b[3]; BH_Vec4fMulAdd(&a[12], row, tmp, tmp); - - memcpy(out, tmp, sizeof(tmp)); -} - - -void BH_Mat4fApplyVec3f(const float *a, - const float *b, - float *out) -{ - float tmp[4], row[4]; - - row[0] = row[1] = row[2] = row[3] = b[0]; BH_Vec4fMul(&a[0], row, tmp); - row[0] = row[1] = row[2] = row[3] = b[1]; BH_Vec4fMulAdd(&a[4], row, tmp, tmp); - row[0] = row[1] = row[2] = row[3] = b[2]; BH_Vec4fMulAdd(&a[8], row, tmp, tmp); - row[0] = row[1] = row[2] = row[3] = 1.0f; BH_Vec4fMulAdd(&a[12], row, tmp, tmp); - - memcpy(out, tmp, sizeof(float) * 3); -} - - -void BH_Mat3fIdentity(float *out) -{ - static const float ident[9] = - { - 1.0f, 0.0f, 0.0f, - 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 1.0f - }; - - memcpy(out, ident, sizeof(ident)); -} - - -void BH_Mat3fAdd(const float *a, - const float *b, - float *out) -{ - BH_Vec3fAdd(&a[0], &b[0], &out[0]); - BH_Vec3fAdd(&a[3], &b[3], &out[3]); - BH_Vec3fAdd(&a[6], &b[6], &out[6]); -} - - -void BH_Mat3fSub(const float *a, - const float *b, - float *out) -{ - BH_Vec3fSub(&a[0], &b[0], &out[0]); - BH_Vec3fSub(&a[3], &b[3], &out[3]); - BH_Vec3fSub(&a[6], &b[6], &out[6]); -} - - -void BH_Mat3fMul(const float *a, - const float *b, - float *out) -{ - float tmp[9], row[3]; - - row[0] = row[1] = row[2] = b[0]; BH_Vec3fMul(&a[0], row, &tmp[0]); - row[0] = row[1] = row[2] = b[1]; BH_Vec3fMulAdd(&a[3], row, &tmp[0], &tmp[0]); - row[0] = row[1] = row[2] = b[2]; BH_Vec3fMulAdd(&a[6], row, &tmp[0], &tmp[0]); - - row[0] = row[1] = row[2] = b[3]; BH_Vec3fMul(&a[0], row, &tmp[3]); - row[0] = row[1] = row[2] = b[4]; BH_Vec3fMulAdd(&a[3], row, &tmp[3], &tmp[3]); - row[0] = row[1] = row[2] = b[5]; BH_Vec3fMulAdd(&a[6], row, &tmp[3], &tmp[3]); - - row[0] = row[1] = row[2] = b[6]; BH_Vec3fMul(&a[0], row, &tmp[6]); - row[0] = row[1] = row[2] = b[7]; BH_Vec3fMulAdd(&a[3], row, &tmp[6], &tmp[6]); - row[0] = row[1] = row[2] = b[8]; BH_Vec3fMulAdd(&a[6], row, &tmp[6], &tmp[6]); - - memcpy(out, tmp, sizeof(tmp)); -} - - -void BH_Mat3fScale(const float *a, - float b, - float *out) -{ - BH_Vec3fScale(&a[0], b, &out[0]); - BH_Vec3fScale(&a[3], b, &out[3]); - BH_Vec3fScale(&a[6], b, &out[6]); -} - - -void BH_Mat3fTranspose(const float *in, - float *out) -{ - float tmp[9]; - - tmp[0] = in[0]; tmp[3] = in[1]; tmp[6] = in[2]; - tmp[1] = in[3]; tmp[4] = in[4]; tmp[7] = in[5]; - tmp[2] = in[6]; tmp[5] = in[7]; tmp[8] = in[8]; - - memcpy(out, tmp, sizeof(tmp)); -} - - -float BH_Mat3fTrace(const float *in) -{ - return in[0] + in[4] + in[8]; -} - - -float BH_Mat3fDet(const float *in) -{ - float a, b, c, result; - - a = in[4] * in[8] - in[7] * in[5]; - b = in[1] * in[8] - in[7] * in[2]; - c = in[1] * in[5] - in[4] * in[2]; - - result = 0.0f; - result += in[0] * a; - result -= in[3] * b; - result += in[6] * c; - - return result; -} - - -int BH_Mat3fInverse(const float *in, - float *out) -{ - float a, b, c, det; - float tmp[16]; - - a = in[4] * in[8] - in[7] * in[5]; - b = in[1] * in[8] - in[7] * in[2]; - c = in[1] * in[5] - in[4] * in[2]; - - tmp[0] = a; - tmp[1] = -b; - tmp[2] = c; - - det = 0.0f; - det += in[0] * tmp[0]; - det += in[3] * tmp[1]; - det += in[6] * tmp[2]; - - if (fabsf(det) < EPSILON) - return BH_ERROR; - - a = in[3] * in[8] - in[6] * in[5]; - b = in[0] * in[8] - in[6] * in[2]; - c = in[0] * in[5] - in[3] * in[2]; - - tmp[3] = -a; - tmp[4] = b; - tmp[5] = -c; - - a = in[3] * in[7] - in[6] * in[4]; - b = in[0] * in[7] - in[6] * in[1]; - c = in[0] * in[4] - in[3] * in[1]; - - tmp[6] = a; - tmp[7] = -b; - tmp[8] = c; - - BH_Mat3fScale(tmp, 1.0f / det, out); - return BH_OK; -} - - -void BH_Mat3fFromScale(float x, - float y, - float *out) -{ - BH_Mat3fIdentity(out); - out[0] = x; - out[4] = y; -} - - -void BH_Mat3fFromTranslation(float x, - float y, - float *out) -{ - BH_Mat3fIdentity(out); - out[6] = x; - out[7] = y; -} - - -void BH_Mat3fFromRotation(float angle, - float *out) -{ - float c, s; - - c = cosf(angle); - s = sinf(angle); - - BH_Mat3fIdentity(out); - out[0] = c; - out[1] = s; - out[3] = -s; - out[4] = c; -} - - -void BH_Mat3fApplyVec3f(float *a, - float *b, - float *out) -{ - float tmp[3], row[3]; - - row[0] = row[1] = row[2] = b[0]; BH_Vec3fMul(&a[0], row, tmp); - row[0] = row[1] = row[2] = b[1]; BH_Vec3fMulAdd(&a[3], row, tmp, tmp); - row[0] = row[1] = row[2] = b[2]; BH_Vec3fMulAdd(&a[6], row, tmp, tmp); - - memcpy(out, tmp, sizeof(tmp)); -} - - -void BH_Mat3fApplyVec2f(float *a, - float *b, - float *out) -{ - float tmp[3], row[3]; - - row[0] = row[1] = row[2] = b[0]; BH_Vec3fMul(&a[0], row, tmp); - row[0] = row[1] = row[2] = b[1]; BH_Vec3fMulAdd(&a[3], row, tmp, tmp); - row[0] = row[1] = row[2] = 1.0f; BH_Vec3fMulAdd(&a[6], row, tmp, tmp); - - memcpy(out, tmp, sizeof(float) * 2); -} - - -int BH_PlaneFromPoints(const float *a, - const float *b, - const float *c, - float *out) -{ - float tmp1[3], tmp2[3]; - - BH_Vec3fSub(b, a, tmp1); - BH_Vec3fSub(c, a, tmp2); - BH_Vec3fCross(tmp2, tmp1, tmp1); - if (BH_Vec3fNormalEx(tmp1, tmp1) < EPSILON) - return BH_ERROR; - - out[3] = BH_Vec3fDot(a, tmp1); - memcpy(out, tmp1, sizeof(tmp1)); - return BH_OK; -} - - -float BH_PlaneDistance(const float *plane, - const float *point) -{ - return BH_Vec3fDot(plane, point) - plane[3]; -} - - -void BH_PlaneClosestPoint(const float *plane, - const float *point, - float *out) -{ - float tmp[3]; - - BH_Vec3fScale(plane, BH_PlaneDistance(plane, point), tmp); - BH_Vec3fSub(point, tmp, out); -} - - -int BH_Ray3fIntersectPlane(const float *start, - const float *direction, - const float *plane, - float *t, - float *out) -{ - float tmp1[3]; - float denom, time; - - /* Calculate intersection time */ - denom = BH_Vec3fDot(direction, plane); - time = (plane[3] - BH_Vec3fDot(plane, start)) / denom; - - /* Check for ray/plane parallel to each other or point is behing the ray. */ - if (fabsf(denom) < EPSILON || time < 0.0f) - return BH_ERROR; - - /* Compute intersection point */ - BH_Vec3fScale(direction, time, tmp1); - BH_Vec3fAdd(start, tmp1, out); - *t = time; - return BH_OK; -} - - -int BH_Ray3fIntersectTriangle(const float *start, - const float *direction, - const float *a, - const float *b, - const float *c, - float *t, - float *out) -{ - float plane[4]; - float tmp1[3], tmp2[3], tmp3[3]; - float time; - - /* Compute plane */ - if (BH_PlaneFromPoints(a, b, c, plane)) - return BH_ERROR; - - /* Compute intersection point in ray against plane */ - if (BH_Ray3fIntersectPlane(start, direction, plane, &time, tmp3)) - return BH_ERROR; - - /* Check if point inside rectangle */ - BH_Vec3fSub(b, a, tmp1); - BH_Vec3fSub(tmp3, a, tmp2); - BH_Vec3fCross(tmp2, tmp1, tmp1); - if (BH_Vec3fDot(tmp1, plane) < 0.0f) - return BH_ERROR; - - BH_Vec3fSub(c, b, tmp1); - BH_Vec3fSub(tmp3, b, tmp2); - BH_Vec3fCross(tmp2, tmp1, tmp1); - if (BH_Vec3fDot(tmp1, plane) < 0.0f) - return BH_ERROR; - - BH_Vec3fSub(a, c, tmp1); - BH_Vec3fSub(tmp3, c, tmp2); - BH_Vec3fCross(tmp2, tmp1, tmp1); - if (BH_Vec3fDot(tmp1, plane) < 0.0f) - return BH_ERROR; - - /* Copy intersection point */ - memcpy(out, tmp3, sizeof(tmp3)); - *t = time; - return BH_OK; -} - - -int BH_Segment3fIntersectPlane(const float *start, - const float *end, - const float *plane, - float *t, - float *out) -{ - float tmp[3]; - float denom, time; - - /* Calculate intersection time */ - BH_Vec3fSub(end, start, tmp); - denom = BH_Vec3fDot(tmp, plane); - time = (plane[3] - BH_Vec3fDot(plane, start)) / denom; - - /* Check for ray/plane parallel to each other or point is behing the ray. */ - if (fabsf(denom) < EPSILON || time < 0.0f || time > 1.0f) - return BH_ERROR; - - /* Compute intersection point */ - BH_Vec3fScale(tmp, time, tmp); - BH_Vec3fAdd(start, tmp, out); - *t = time; - return BH_OK; -} - - -int BH_Segment3fIntersectTriangle(const float *start, - const float *end, - const float *a, - const float *b, - const float *c, - float *t, - float *out) -{ - float plane[4]; - float tmp1[3], tmp2[3], tmp3[3]; - float time; - - /* Compute plane */ - if (BH_PlaneFromPoints(a, b, c, plane)) - return BH_ERROR; - - /* Compute intersection point in ray against plane */ - if (BH_Segment3fIntersectPlane(start, end, plane, &time, tmp3)) - return BH_ERROR; - - /* Check if point inside rectangle */ - BH_Vec3fSub(b, a, tmp1); - BH_Vec3fSub(tmp3, a, tmp2); - BH_Vec3fCross(tmp2, tmp1, tmp1); - if (BH_Vec3fDot(tmp1, plane) < 0.0f) - return BH_ERROR; - - BH_Vec3fSub(c, b, tmp1); - BH_Vec3fSub(tmp3, b, tmp2); - BH_Vec3fCross(tmp2, tmp1, tmp1); - if (BH_Vec3fDot(tmp1, plane) < 0.0f) - return BH_ERROR; - - BH_Vec3fSub(a, c, tmp1); - BH_Vec3fSub(tmp3, c, tmp2); - BH_Vec3fCross(tmp2, tmp1, tmp1); - if (BH_Vec3fDot(tmp1, plane) < 0.0f) - return BH_ERROR; - - /* Copy intersection point */ - memcpy(out, tmp3, sizeof(tmp3)); - *t = time; - return BH_OK; -} - - -void BH_Triangle3fBarycentric(const float *a, - const float *b, - const float *c, - const float *point, - float *out) -{ - float tmp1[3], tmp2[3], tmp3[3]; - float t11, t12, t22, t31, t32, denom; - - BH_Vec3fSub(b, a, tmp1); - BH_Vec3fSub(c, a, tmp2); - BH_Vec3fSub(point, a, tmp3); - - t11 = BH_Vec3fDot(tmp1, tmp1); - t12 = BH_Vec3fDot(tmp1, tmp2); - t22 = BH_Vec3fDot(tmp2, tmp2); - t31 = BH_Vec3fDot(tmp3, tmp1); - t32 = BH_Vec3fDot(tmp3, tmp2); - denom = 1.0f / (t11 * t22 - t12 * t12); - - out[1] = (t22 * t31 - t12 * t32) * denom; - out[2] = (t11 * t32 - t12 * t31) * denom; - out[0] = 1.0f - out[1] - out[2]; -} - - -int BH_LineFromPoints(const float *a, - const float *b, - float *out) -{ - float tmp[2]; - - tmp[0] = a[1] - b[1]; - tmp[1] = b[0] - a[0]; - if (BH_Vec2fNormalEx(tmp, tmp) < EPSILON) - return BH_ERROR; - - out[2] = BH_Vec2fDot(tmp, a); - memcpy(out, tmp, sizeof(tmp)); - return BH_OK; -} - - -float BH_LineDistance(const float *line, - const float *point) -{ - return BH_Vec2fDot(line, point) - line[2]; -} - - -void BH_LineClosestPoint(const float *line, - const float *point, - float *out) -{ - float tmp[2]; - - BH_Vec2fScale(line, BH_LineDistance(line, point), tmp); - BH_Vec2fSub(point, tmp, out); -} - - -int BH_Ray2fIntersectLine(const float *start, - const float *direction, - const float *line, - float *t, - float *out) -{ - float tmp1[2]; - float denom, time; - - /* Calculate intersection time */ - denom = BH_Vec2fDot(direction, line); - time = (line[2] - BH_Vec2fDot(line, start)) / denom; - - /* Check for ray/plane parallel to each other or point is behing the ray. */ - if (fabsf(denom) < EPSILON || time < 0.0f) - return BH_ERROR; - - /* Compute intersection point */ - BH_Vec2fScale(direction, time, tmp1); - BH_Vec2fAdd(start, tmp1, out); - *t = time; - return BH_OK; -} - - -int BH_Ray2fIntersectTime(const float *aStart, - const float *aDirection, - const float *bStart, - const float *bDirection, - float *time1, - float *time2) -{ - float tmp1[2], tmp2[2], tmp3[2]; - float denom; - - /* Rotate directions by 90 degrees and caluclate denom */ - tmp1[0] = -aDirection[1]; tmp1[1] = aDirection[0]; - tmp2[0] = -bDirection[1]; tmp2[1] = bDirection[0]; - denom = BH_Vec2fDot(tmp1, bDirection); - - if (fabsf(denom) < EPSILON) - return BH_ERROR; - - /* Calculate segments offset and intersection times */ - BH_Vec2fSub(aStart, bStart, tmp3); - *time1 = BH_Vec2fDot(tmp3, tmp2) / denom; - *time2 = BH_Vec2fDot(tmp3, tmp1) / denom; - - return BH_OK; -} - - -int BH_Ray2fIntersectRay(const float *aStart, - const float *aDirection, - const float *bStart, - const float *bDirection, - float *t, - float *out) -{ - float tmp[2]; - float time1, time2; - - if (BH_Ray2fIntersectTime(aStart, aDirection, bStart, bDirection, &time1, &time2)) - return BH_ERROR; - - if (time1 < 0.0f || time2 < 0.0f) - return BH_ERROR; - - BH_Vec2fScale(aDirection, time1, tmp); - BH_Vec2fAdd(aStart, tmp, out); - *t = time1; - return BH_OK; -} - - -int BH_Ray2fIntersectSegment(const float *aStart, - const float *aDirection, - const float *bStart, - const float *bEnd, - float *t, - float *out) -{ - float tmp[2]; - float time1, time2; - - BH_Vec2fSub(bEnd, bStart, tmp); - if (BH_Ray2fIntersectTime(aStart, aDirection, bStart, tmp, &time1, &time2)) - return BH_ERROR; - - if (time1 < 0.0f || time2 < 0.0f || time2 > 1.0f) - return BH_ERROR; - - BH_Vec2fScale(aDirection, time1, tmp); - BH_Vec2fAdd(aStart, tmp, out); - *t = time1; - return BH_OK; -} - - -int BH_Segment2fIntersectLine(const float *start, - const float *end, - const float *line, - float *t, - float *out) -{ - float tmp[2]; - float denom, time; - - /* Calculate intersection time */ - BH_Vec2fSub(end, start, tmp); - denom = BH_Vec2fDot(tmp, line); - time = (line[2] - BH_Vec2fDot(line, start)) / denom; - - /* Check for ray/plane parallel to each other or point is behing the ray. */ - if (fabsf(denom) < EPSILON || time < 0.0f || time > 1.0f) - return BH_ERROR; - - /* Compute intersection point */ - BH_Vec2fScale(tmp, time, tmp); - BH_Vec2fAdd(start, tmp, out); - *t = time; - return BH_OK; -} - - -int BH_Segment2fIntersectSegment(const float *aStart, - const float *aEnd, - const float *bStart, - const float *bEnd, - float *t, - float *out) -{ - float tmp1[2], tmp2[2]; - float time1, time2; - - BH_Vec2fSub(aEnd, aStart, tmp1); - BH_Vec2fSub(bEnd, bStart, tmp2); - if (BH_Ray2fIntersectTime(aStart, tmp1, bStart, tmp2, &time1, &time2)) - return BH_ERROR; - - if (time1 < 0.0f || time1 > 1.0f || time2 < 0.0f || time2 > 1.0f) - return BH_ERROR; - - BH_Vec2fLerp(aStart, aEnd, time1, out); - *t = time1; - - return BH_OK; -} - - -void BH_Box3fUnion(const float *aMin, - const float *aMax, - const float *bMin, - const float *bMax, - float *outMin, - float *outMax) -{ - BH_Vec3fMin(aMin, bMin, outMin); - BH_Vec3fMax(aMax, bMax, outMax); -} - - -int BH_Box3fIntersect(const float *aMin, - const float *aMax, - const float *bMin, - const float *bMax, - float *outMin, - float *outMax) -{ - BH_Vec3fMax(aMin, bMin, outMin); - BH_Vec3fMin(aMax, bMax, outMax); - - if (outMin[0] >= outMax[0] || outMin[1] >= outMax[1] || outMin[2] >= outMax[2]) - return BH_ERROR; - - return BH_OK; -} - - -int BH_Box3fContains(const float *aMin, - const float *aMax, - const float *point) -{ - if (point[0] < aMin[0] || point[1] < aMin[1] || point[2] < aMin[2]) - return BH_ERROR; - - if (point[0] > aMax[0] || point[1] > aMax[1] || point[2] > aMax[2]) - return BH_ERROR; - - return BH_OK; -} - - -int BH_Box3fEnclose(const float *points, - size_t size, - float *outMin, - float *outMax) -{ - float tmp1[3], tmp2[3]; - size_t i; - - if (!size) - return BH_ERROR; - - memcpy(tmp1, points, sizeof(tmp1)); - memcpy(tmp2, points, sizeof(tmp2)); - - for (i = 1; i < size; i++) - { - BH_Vec3fMin(tmp1, points + i * 3, tmp1); - BH_Vec3fMax(tmp2, points + i * 3, tmp2); - } - - memcpy(outMin, tmp1, sizeof(tmp1)); - memcpy(outMax, tmp2, sizeof(tmp2)); - return BH_OK; -} - - -void BH_Box2fUnion(const float *aMin, - const float *aMax, - const float *bMin, - const float *bMax, - float *outMin, - float *outMax) -{ - BH_Vec2fMin(aMin, bMin, outMin); - BH_Vec2fMax(aMax, bMax, outMax); -} - - -int BH_Box2fIntersect(const float *aMin, - const float *aMax, - const float *bMin, - const float *bMax, - float *outMin, - float *outMax) -{ - BH_Vec2fMax(aMin, bMin, outMin); - BH_Vec2fMin(aMax, bMax, outMax); - - if (outMin[0] >= outMax[0] || outMin[1] >= outMax[1]) - return BH_ERROR; - - return BH_OK; -} - - -int BH_Box2fContains(const float *aMin, - const float *aMax, - const float *point) -{ - if (point[0] < aMin[0] || point[1] < aMin[1]) - return BH_ERROR; - - if (point[0] > aMax[0] || point[1] > aMax[1]) - return BH_ERROR; - - return BH_OK; -} - - -int BH_Box2fEnclose(const float *points, - size_t size, - float *outMin, - float *outMax) -{ - float tmp1[2], tmp2[2]; - size_t i; - - if (!size) - return BH_ERROR; - - memcpy(tmp1, points, sizeof(tmp1)); - memcpy(tmp2, points, sizeof(tmp2)); - - for (i = 1; i < size; i++) - { - BH_Vec2fMin(tmp1, points + i * 2, tmp1); - BH_Vec2fMax(tmp2, points + i * 2, tmp2); - } - - memcpy(outMin, tmp1, sizeof(tmp1)); - memcpy(outMax, tmp2, sizeof(tmp2)); - return BH_OK; -} - - -int BH_Ray3fIntersectBox3f(const float *aStart, - const float *aDirection, - const float *bMin, - const float *bMax, - float *t, - float *out) -{ - float timeNear, timeFar, hitNear, hitFar, denom, tmp; - int i; - - timeNear = -1.0f / 0.0f; - timeFar = 1.0f / 0.0f; - - /* Check if origin inside box */ - if (!BH_Box3fContains(bMin, bMax, aStart)) - { - memcpy(out, aStart, sizeof(float) * 3); - *t = 0.0f; - return BH_OK; - } - - /* Check each axis for the minimal and maximum intersection time */ - for (i = 0; i < 3; i++) - { - if (fabsf(aDirection[i]) < EPSILON) - { - if (aStart[i] < bMin[i] || aStart[i] > bMax[i]) - return BH_ERROR; - continue; - } - - denom = 1.0f / aDirection[i]; - hitNear = (bMin[i] - aStart[i]) * denom; - hitFar = (bMax[i] - aStart[i]) * denom; - - if (hitNear > hitFar) - { - tmp = hitNear; - hitNear = hitFar; - hitFar = tmp; - } - - if (hitNear > timeNear) - timeNear = hitNear; - if (hitFar < timeFar) - timeFar = hitFar; - - if (timeNear > timeFar || timeFar < 0.0f) - return BH_ERROR; - } - - out[0] = aStart[0] + aDirection[0] * timeNear; - out[1] = aStart[1] + aDirection[1] * timeNear; - out[2] = aStart[2] + aDirection[2] * timeNear; - *t = timeNear; - - return BH_OK; -} - - -int BH_Segment3fIntersectBox3f(const float *aStart, - const float *aEnd, - const float *bMin, - const float *bMax, - float *t, - float *out) -{ - float tmp[3]; - float time; - - BH_Vec3fSub(aEnd, aStart, tmp); - if (BH_Ray3fIntersectBox3f(aStart, tmp, bMin, bMax, &time, out)) - return BH_ERROR; - - if (time > 1.0f) - return BH_ERROR; - - *t = time; - return BH_OK; -} - - -int BH_Ray2fIntersectBox2f(const float *aStart, - const float *aDirection, - const float *bMin, - const float *bMax, - float *t, - float *out) -{ - float timeNear, timeFar, hitNear, hitFar, denom, tmp; - int i; - - timeNear = -1.0f / 0.0f; - timeFar = 1.0f / 0.0f; - - /* Check if origin inside box */ - if (!BH_Box2fContains(bMin, bMax, aStart)) - { - memcpy(out, aStart, sizeof(float) * 2); - *t = 0.0f; - return BH_OK; - } - - /* Check each axis for the minimal and maximum intersection time */ - for (i = 0; i < 2; i++) - { - if (fabsf(aDirection[i]) < EPSILON) - { - if (aStart[i] < bMin[i] || aStart[i] > bMax[i]) - return BH_ERROR; - continue; - } - - denom = 1.0f / aDirection[i]; - hitNear = (bMin[i] - aStart[i]) * denom; - hitFar = (bMax[i] - aStart[i]) * denom; - - if (hitNear > hitFar) - { - tmp = hitNear; - hitNear = hitFar; - hitFar = tmp; - } - - if (hitNear > timeNear) - timeNear = hitNear; - if (hitFar < timeFar) - timeFar = hitFar; - - if (timeNear > timeFar || timeFar < 0.0f) - return BH_ERROR; - } - - out[0] = aStart[0] + aDirection[0] * timeNear; - out[1] = aStart[1] + aDirection[1] * timeNear; - *t = timeNear; - - return BH_OK; -} - - -int BH_Segment2fIntersectBox2f(const float *aStart, - const float *aEnd, - const float *bMin, - const float *bMax, - float *t, - float *out) -{ - float tmp[3]; - float time; - - BH_Vec2fSub(aEnd, aStart, tmp); - if (BH_Ray2fIntersectBox2f(aStart, tmp, bMin, bMax, &time, out)) - return BH_ERROR; - - if (time > 1.0f) - return BH_ERROR; - - *t = time; - return BH_OK; -} |
