diff options
Diffstat (limited to 'source/blender/blenlib/intern/math_vec.cc')
| -rw-r--r-- | source/blender/blenlib/intern/math_vec.cc | 133 |
1 files changed, 99 insertions, 34 deletions
diff --git a/source/blender/blenlib/intern/math_vec.cc b/source/blender/blenlib/intern/math_vec.cc index 6fab6c9a383..223c0e273f0 100644 --- a/source/blender/blenlib/intern/math_vec.cc +++ b/source/blender/blenlib/intern/math_vec.cc @@ -18,83 +18,89 @@ * \ingroup bli */ +#include "BLI_double2.hh" +#include "BLI_double3.hh" +#include "BLI_float2.hh" +#include "BLI_float3.hh" #include "BLI_hash.hh" -#include "BLI_math_vec_mpq_types.hh" -#include "BLI_math_vector.hh" +#include "BLI_math_mpq.hh" +#include "BLI_mpq2.hh" +#include "BLI_mpq3.hh" #include "BLI_span.hh" #include "BLI_utildefines.h" -namespace blender::math { +namespace blender { -template<> -isect_result<float2> isect_seg_seg(const float2 &v1, - const float2 &v2, - const float2 &v3, - const float2 &v4) +float2::isect_result float2::isect_seg_seg(const float2 &v1, + const float2 &v2, + const float2 &v3, + const float2 &v4) { - isect_result<float2> ans; + float2::isect_result ans; float div = (v2[0] - v1[0]) * (v4[1] - v3[1]) - (v2[1] - v1[1]) * (v4[0] - v3[0]); if (div == 0.0f) { ans.lambda = 0.0f; - ans.kind = isect_result<float2>::LINE_LINE_COLINEAR; + ans.mu = 0.0f; + ans.kind = float2::isect_result::LINE_LINE_COLINEAR; } else { ans.lambda = ((v1[1] - v3[1]) * (v4[0] - v3[0]) - (v1[0] - v3[0]) * (v4[1] - v3[1])) / div; - float mu = ((v1[1] - v3[1]) * (v2[0] - v1[0]) - (v1[0] - v3[0]) * (v2[1] - v1[1])) / div; - if (ans.lambda >= 0.0f && ans.lambda <= 1.0f && mu >= 0.0f && mu <= 1.0f) { - if (ans.lambda == 0.0f || ans.lambda == 1.0f || mu == 0.0f || mu == 1.0f) { - ans.kind = isect_result<float2>::LINE_LINE_EXACT; + ans.mu = ((v1[1] - v3[1]) * (v2[0] - v1[0]) - (v1[0] - v3[0]) * (v2[1] - v1[1])) / div; + if (ans.lambda >= 0.0f && ans.lambda <= 1.0f && ans.mu >= 0.0f && ans.mu <= 1.0f) { + if (ans.lambda == 0.0f || ans.lambda == 1.0f || ans.mu == 0.0f || ans.mu == 1.0f) { + ans.kind = float2::isect_result::LINE_LINE_EXACT; } else { - ans.kind = isect_result<float2>::LINE_LINE_CROSS; + ans.kind = float2::isect_result::LINE_LINE_CROSS; } } else { - ans.kind = isect_result<float2>::LINE_LINE_NONE; + ans.kind = float2::isect_result::LINE_LINE_NONE; } } return ans; } -template<> -isect_result<double2> isect_seg_seg(const double2 &v1, - const double2 &v2, - const double2 &v3, - const double2 &v4) +double2::isect_result double2::isect_seg_seg(const double2 &v1, + const double2 &v2, + const double2 &v3, + const double2 &v4) { - isect_result<double2> ans; + double2::isect_result ans; double div = (v2[0] - v1[0]) * (v4[1] - v3[1]) - (v2[1] - v1[1]) * (v4[0] - v3[0]); if (div == 0.0) { ans.lambda = 0.0; - ans.kind = isect_result<double2>::LINE_LINE_COLINEAR; + ans.kind = double2::isect_result::LINE_LINE_COLINEAR; } else { ans.lambda = ((v1[1] - v3[1]) * (v4[0] - v3[0]) - (v1[0] - v3[0]) * (v4[1] - v3[1])) / div; double mu = ((v1[1] - v3[1]) * (v2[0] - v1[0]) - (v1[0] - v3[0]) * (v2[1] - v1[1])) / div; if (ans.lambda >= 0.0 && ans.lambda <= 1.0 && mu >= 0.0 && mu <= 1.0) { if (ans.lambda == 0.0 || ans.lambda == 1.0 || mu == 0.0 || mu == 1.0) { - ans.kind = isect_result<double2>::LINE_LINE_EXACT; + ans.kind = double2::isect_result::LINE_LINE_EXACT; } else { - ans.kind = isect_result<double2>::LINE_LINE_CROSS; + ans.kind = double2::isect_result::LINE_LINE_CROSS; } } else { - ans.kind = isect_result<double2>::LINE_LINE_NONE; + ans.kind = double2::isect_result::LINE_LINE_NONE; } } return ans; } #ifdef WITH_GMP -template<> -isect_result<mpq2> isect_seg_seg(const mpq2 &v1, const mpq2 &v2, const mpq2 &v3, const mpq2 &v4) +mpq2::isect_result mpq2::isect_seg_seg(const mpq2 &v1, + const mpq2 &v2, + const mpq2 &v3, + const mpq2 &v4) { - isect_result<mpq2> ans; + mpq2::isect_result ans; mpq_class div = (v2[0] - v1[0]) * (v4[1] - v3[1]) - (v2[1] - v1[1]) * (v4[0] - v3[0]); if (div == 0.0) { ans.lambda = 0.0; - ans.kind = isect_result<mpq2>::LINE_LINE_COLINEAR; + ans.kind = mpq2::isect_result::LINE_LINE_COLINEAR; } else { ans.lambda = ((v1[1] - v3[1]) * (v4[0] - v3[0]) - (v1[0] - v3[0]) * (v4[1] - v3[1])) / div; @@ -103,21 +109,66 @@ isect_result<mpq2> isect_seg_seg(const mpq2 &v1, const mpq2 &v2, const mpq2 &v3, if (ans.lambda >= 0 && ans.lambda <= 1 && ((div > 0 && mudiv >= 0 && mudiv <= div) || (div < 0 && mudiv <= 0 && mudiv >= div))) { if (ans.lambda == 0 || ans.lambda == 1 || mudiv == 0 || mudiv == div) { - ans.kind = isect_result<mpq2>::LINE_LINE_EXACT; + ans.kind = mpq2::isect_result::LINE_LINE_EXACT; } else { - ans.kind = isect_result<mpq2>::LINE_LINE_CROSS; + ans.kind = mpq2::isect_result::LINE_LINE_CROSS; } } else { - ans.kind = isect_result<mpq2>::LINE_LINE_NONE; + ans.kind = mpq2::isect_result::LINE_LINE_NONE; } } return ans; } #endif +double3 double3::cross_poly(Span<double3> poly) +{ + /* Newell's Method. */ + int nv = static_cast<int>(poly.size()); + if (nv < 3) { + return double3(0, 0, 0); + } + const double3 *v_prev = &poly[nv - 1]; + const double3 *v_curr = &poly[0]; + double3 n(0, 0, 0); + for (int i = 0; i < nv;) { + n[0] = n[0] + ((*v_prev)[1] - (*v_curr)[1]) * ((*v_prev)[2] + (*v_curr)[2]); + n[1] = n[1] + ((*v_prev)[2] - (*v_curr)[2]) * ((*v_prev)[0] + (*v_curr)[0]); + n[2] = n[2] + ((*v_prev)[0] - (*v_curr)[0]) * ((*v_prev)[1] + (*v_curr)[1]); + v_prev = v_curr; + ++i; + if (i < nv) { + v_curr = &poly[i]; + } + } + return n; +} + #ifdef WITH_GMP +mpq3 mpq3::cross_poly(Span<mpq3> poly) +{ + /* Newell's Method. */ + int nv = static_cast<int>(poly.size()); + if (nv < 3) { + return mpq3(0); + } + const mpq3 *v_prev = &poly[nv - 1]; + const mpq3 *v_curr = &poly[0]; + mpq3 n(0); + for (int i = 0; i < nv;) { + n[0] = n[0] + ((*v_prev)[1] - (*v_curr)[1]) * ((*v_prev)[2] + (*v_curr)[2]); + n[1] = n[1] + ((*v_prev)[2] - (*v_curr)[2]) * ((*v_prev)[0] + (*v_curr)[0]); + n[2] = n[2] + ((*v_prev)[0] - (*v_curr)[0]) * ((*v_prev)[1] + (*v_curr)[1]); + v_prev = v_curr; + ++i; + if (i < nv) { + v_curr = &poly[i]; + } + } + return n; +} uint64_t hash_mpq_class(const mpq_class &value) { @@ -125,6 +176,20 @@ uint64_t hash_mpq_class(const mpq_class &value) return get_default_hash(static_cast<float>(value.get_d())); } +uint64_t mpq2::hash() const +{ + uint64_t hashx = hash_mpq_class(this->x); + uint64_t hashy = hash_mpq_class(this->y); + return hashx ^ (hashy * 33); +} + +uint64_t mpq3::hash() const +{ + uint64_t hashx = hash_mpq_class(this->x); + uint64_t hashy = hash_mpq_class(this->y); + uint64_t hashz = hash_mpq_class(this->z); + return hashx ^ (hashy * 33) ^ (hashz * 33 * 37); +} #endif -} // namespace blender::math +} // namespace blender |