diff options
Diffstat (limited to 'core/math')
-rw-r--r-- | core/math/audio_frame.h | 9 | ||||
-rw-r--r-- | core/math/camera_matrix.cpp | 8 | ||||
-rw-r--r-- | core/math/camera_matrix.h | 1 | ||||
-rw-r--r-- | core/math/delaunay.h | 4 | ||||
-rw-r--r-- | core/math/geometry.cpp | 2 | ||||
-rw-r--r-- | core/math/geometry.h | 10 | ||||
-rw-r--r-- | core/math/math_funcs.h | 19 | ||||
-rw-r--r-- | core/math/plane.cpp | 4 | ||||
-rw-r--r-- | core/math/plane.h | 4 | ||||
-rw-r--r-- | core/math/rect2.h | 39 | ||||
-rw-r--r-- | core/math/transform_2d.cpp | 2 | ||||
-rw-r--r-- | core/math/transform_2d.h | 2 | ||||
-rw-r--r-- | core/math/vector2.h | 9 | ||||
-rw-r--r-- | core/math/vector3.h | 23 |
14 files changed, 93 insertions, 43 deletions
diff --git a/core/math/audio_frame.h b/core/math/audio_frame.h index ebe0356c93..98e4e33021 100644 --- a/core/math/audio_frame.h +++ b/core/math/audio_frame.h @@ -31,6 +31,7 @@ #ifndef AUDIOFRAME_H #define AUDIOFRAME_H +#include "core/math/vector2.h" #include "core/typedefs.h" static inline float undenormalise(volatile float f) { @@ -128,6 +129,14 @@ struct AudioFrame { return *this; } + _ALWAYS_INLINE_ operator Vector2() const { + return Vector2(l, r); + } + + _ALWAYS_INLINE_ AudioFrame(const Vector2 &p_v2) { + l = p_v2.x; + r = p_v2.y; + } _ALWAYS_INLINE_ AudioFrame() {} }; diff --git a/core/math/camera_matrix.cpp b/core/math/camera_matrix.cpp index caf08c7379..f615cc8c65 100644 --- a/core/math/camera_matrix.cpp +++ b/core/math/camera_matrix.cpp @@ -210,6 +210,14 @@ void CameraMatrix::set_frustum(real_t p_left, real_t p_right, real_t p_bottom, r te[15] = 0; } +void CameraMatrix::set_frustum(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov) { + if (!p_flip_fov) { + p_size *= p_aspect; + } + + set_frustum(-p_size / 2 + p_offset.x, +p_size / 2 + p_offset.x, -p_size / p_aspect / 2 + p_offset.y, +p_size / p_aspect / 2 + p_offset.y, p_near, p_far); +} + real_t CameraMatrix::get_z_far() const { const real_t *matrix = (const real_t *)this->matrix; diff --git a/core/math/camera_matrix.h b/core/math/camera_matrix.h index 015588a8cb..3bcf48f5da 100644 --- a/core/math/camera_matrix.h +++ b/core/math/camera_matrix.h @@ -61,6 +61,7 @@ struct CameraMatrix { void set_orthogonal(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_znear, real_t p_zfar); void set_orthogonal(real_t p_size, real_t p_aspect, real_t p_znear, real_t p_zfar, bool p_flip_fov = false); void set_frustum(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_near, real_t p_far); + void set_frustum(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov = false); static real_t get_fovy(real_t p_fovx, real_t p_aspect) { diff --git a/core/math/delaunay.h b/core/math/delaunay.h index bd0cf97937..ed52c506db 100644 --- a/core/math/delaunay.h +++ b/core/math/delaunay.h @@ -80,11 +80,11 @@ public: } static bool edge_compare(const Vector<Vector2> &p_vertices, const Edge &p_a, const Edge &p_b) { - if (p_vertices[p_a.edge[0]].distance_to(p_vertices[p_b.edge[0]]) < CMP_EPSILON && p_vertices[p_a.edge[1]].distance_to(p_vertices[p_b.edge[1]]) < CMP_EPSILON) { + if (Math::is_zero_approx(p_vertices[p_a.edge[0]].distance_to(p_vertices[p_b.edge[0]])) && Math::is_zero_approx(p_vertices[p_a.edge[1]].distance_to(p_vertices[p_b.edge[1]]))) { return true; } - if (p_vertices[p_a.edge[0]].distance_to(p_vertices[p_b.edge[1]]) < CMP_EPSILON && p_vertices[p_a.edge[1]].distance_to(p_vertices[p_b.edge[0]]) < CMP_EPSILON) { + if (Math::is_zero_approx(p_vertices[p_a.edge[0]].distance_to(p_vertices[p_b.edge[1]])) && Math::is_zero_approx(p_vertices[p_a.edge[1]].distance_to(p_vertices[p_b.edge[0]]))) { return true; } diff --git a/core/math/geometry.cpp b/core/math/geometry.cpp index a84b5a16c7..0ab8707d3a 100644 --- a/core/math/geometry.cpp +++ b/core/math/geometry.cpp @@ -836,7 +836,7 @@ Geometry::MeshData Geometry::build_convex_mesh(const PoolVector<Plane> &p_planes Vector3 rel = edge1_A - edge0_A; real_t den = clip.normal.dot(rel); - if (Math::abs(den) < CMP_EPSILON) + if (Math::is_zero_approx(den)) continue; // point too short real_t dist = -(clip.normal.dot(edge0_A) - clip.d) / den; diff --git a/core/math/geometry.h b/core/math/geometry.h index 7347cb742a..f3a671aa9a 100644 --- a/core/math/geometry.h +++ b/core/math/geometry.h @@ -181,8 +181,8 @@ public: } } // finally do the division to get sc and tc - sc = (Math::abs(sN) < CMP_EPSILON ? 0.0 : sN / sD); - tc = (Math::abs(tN) < CMP_EPSILON ? 0.0 : tN / tD); + sc = (Math::is_zero_approx(sN) ? 0.0 : sN / sD); + tc = (Math::is_zero_approx(tN) ? 0.0 : tN / tD); // get the difference of the two closest points Vector3 dP = w + (sc * u) - (tc * v); // = S1(sc) - S2(tc) @@ -195,7 +195,7 @@ public: Vector3 e2 = p_v2 - p_v0; Vector3 h = p_dir.cross(e2); real_t a = e1.dot(h); - if (a > -CMP_EPSILON && a < CMP_EPSILON) // parallel test + if (Math::is_zero_approx(a)) // parallel test return false; real_t f = 1.0 / a; @@ -233,7 +233,7 @@ public: Vector3 e2 = p_v2 - p_v0; Vector3 h = rel.cross(e2); real_t a = e1.dot(h); - if (a > -CMP_EPSILON && a < CMP_EPSILON) // parallel test + if (Math::is_zero_approx(a)) // parallel test return false; real_t f = 1.0 / a; @@ -535,7 +535,7 @@ public: // see http://paulbourke.net/geometry/pointlineplane/ const real_t denom = p_dir_b.y * p_dir_a.x - p_dir_b.x * p_dir_a.y; - if (Math::abs(denom) < CMP_EPSILON) { // parallel? + if (Math::is_zero_approx(denom)) { // parallel? return false; } diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h index 0d209402dd..a75f2fb4ab 100644 --- a/core/math/math_funcs.h +++ b/core/math/math_funcs.h @@ -272,13 +272,20 @@ public: return diff < epsilon; } - static _ALWAYS_INLINE_ bool is_equal_approx(real_t a, real_t b, real_t epsilon = CMP_EPSILON) { - // TODO: Comparing floats for approximate-equality is non-trivial. - // Using epsilon should cover the typical cases in Godot (where a == b is used to compare two reals), such as matrix and vector comparison operators. - // A proper implementation in terms of ULPs should eventually replace the contents of this function. - // See https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ for details. + static _ALWAYS_INLINE_ bool is_equal_approx(real_t a, real_t b) { + real_t tolerance = CMP_EPSILON * abs(a); + if (tolerance < CMP_EPSILON) { + tolerance = CMP_EPSILON; + } + return abs(a - b) < tolerance; + } + + static _ALWAYS_INLINE_ bool is_equal_approx(real_t a, real_t b, real_t tolerance) { + return abs(a - b) < tolerance; + } - return abs(a - b) < epsilon; + static _ALWAYS_INLINE_ bool is_zero_approx(real_t s) { + return abs(s) < CMP_EPSILON; } static _ALWAYS_INLINE_ float absf(float g) { diff --git a/core/math/plane.cpp b/core/math/plane.cpp index cd3cbce300..b01853c4ac 100644 --- a/core/math/plane.cpp +++ b/core/math/plane.cpp @@ -110,7 +110,7 @@ bool Plane::intersects_ray(const Vector3 &p_from, const Vector3 &p_dir, Vector3 real_t den = normal.dot(segment); //printf("den is %i\n",den); - if (Math::abs(den) <= CMP_EPSILON) { + if (Math::is_zero_approx(den)) { return false; } @@ -135,7 +135,7 @@ bool Plane::intersects_segment(const Vector3 &p_begin, const Vector3 &p_end, Vec real_t den = normal.dot(segment); //printf("den is %i\n",den); - if (Math::abs(den) <= CMP_EPSILON) { + if (Math::is_zero_approx(den)) { return false; } diff --git a/core/math/plane.h b/core/math/plane.h index 1c6e4b816b..ec817edd2c 100644 --- a/core/math/plane.h +++ b/core/math/plane.h @@ -125,12 +125,12 @@ Plane::Plane(const Vector3 &p_point1, const Vector3 &p_point2, const Vector3 &p_ bool Plane::operator==(const Plane &p_plane) const { - return normal == p_plane.normal && d == p_plane.d; + return normal == p_plane.normal && Math::is_equal_approx(d, p_plane.d); } bool Plane::operator!=(const Plane &p_plane) const { - return normal != p_plane.normal || d != p_plane.d; + return normal != p_plane.normal || !Math::is_equal_approx(d, p_plane.d); } #endif // PLANE_H diff --git a/core/math/rect2.h b/core/math/rect2.h index 901d372132..3b66617c83 100644 --- a/core/math/rect2.h +++ b/core/math/rect2.h @@ -103,7 +103,7 @@ struct Rect2 { ((p_rect.position.y + p_rect.size.y) < (position.y + size.y)); } - inline bool has_no_area() const { + _FORCE_INLINE_ bool has_no_area() const { return (size.x <= 0 || size.y <= 0); } @@ -154,8 +154,6 @@ struct Rect2 { return true; } - inline bool no_area() const { return (size.width <= 0 || size.height <= 0); } - bool operator==(const Rect2 &p_rect) const { return position == p_rect.position && size == p_rect.size; } bool operator!=(const Rect2 &p_rect) const { return position != p_rect.position || size != p_rect.size; } @@ -189,7 +187,7 @@ struct Rect2 { return g; } - inline Rect2 expand(const Vector2 &p_vector) const { + _FORCE_INLINE_ Rect2 expand(const Vector2 &p_vector) const { Rect2 r = *this; r.expand_to(p_vector); @@ -215,7 +213,7 @@ struct Rect2 { size = end - begin; } - inline Rect2 abs() const { + _FORCE_INLINE_ Rect2 abs() const { return Rect2(Point2(position.x + MIN(size.x, 0), position.y + MIN(size.y, 0)), size.abs()); } @@ -265,7 +263,7 @@ struct Rect2i { ((p_rect.position.y + p_rect.size.y) < (position.y + size.y)); } - inline bool has_no_area() const { + _FORCE_INLINE_ bool has_no_area() const { return (size.x <= 0 || size.y <= 0); } @@ -316,8 +314,6 @@ struct Rect2i { return true; } - bool no_area() { return (size.width <= 0 || size.height <= 0); } - bool operator==(const Rect2i &p_rect) const { return position == p_rect.position && size == p_rect.size; } bool operator!=(const Rect2i &p_rect) const { return position != p_rect.position || size != p_rect.size; } @@ -331,6 +327,33 @@ struct Rect2i { return g; } + inline Rect2i grow_margin(Margin p_margin, int p_amount) const { + Rect2i g = *this; + g = g.grow_individual((MARGIN_LEFT == p_margin) ? p_amount : 0, + (MARGIN_TOP == p_margin) ? p_amount : 0, + (MARGIN_RIGHT == p_margin) ? p_amount : 0, + (MARGIN_BOTTOM == p_margin) ? p_amount : 0); + return g; + } + + inline Rect2i grow_individual(int p_left, int p_top, int p_right, int p_bottom) const { + + Rect2i g = *this; + g.position.x -= p_left; + g.position.y -= p_top; + g.size.width += p_left + p_right; + g.size.height += p_top + p_bottom; + + return g; + } + + _FORCE_INLINE_ Rect2i expand(const Vector2i &p_vector) const { + + Rect2i r = *this; + r.expand_to(p_vector); + return r; + } + inline void expand_to(const Point2i &p_vector) { Point2i begin = position; diff --git a/core/math/transform_2d.cpp b/core/math/transform_2d.cpp index 7d00158f3d..1d0387bd45 100644 --- a/core/math/transform_2d.cpp +++ b/core/math/transform_2d.cpp @@ -106,7 +106,7 @@ Size2 Transform2D::get_scale() const { return Size2(elements[0].length(), det_sign * elements[1].length()); } -void Transform2D::set_scale(Size2 &p_scale) { +void Transform2D::set_scale(const Size2 &p_scale) { elements[0].normalize(); elements[1].normalize(); elements[0] *= p_scale.x; diff --git a/core/math/transform_2d.h b/core/math/transform_2d.h index b9e7a36fb3..c44678674a 100644 --- a/core/math/transform_2d.h +++ b/core/math/transform_2d.h @@ -81,7 +81,7 @@ struct Transform2D { real_t basis_determinant() const; Size2 get_scale() const; - void set_scale(Size2 &p_scale); + void set_scale(const Size2 &p_scale); _FORCE_INLINE_ const Vector2 &get_origin() const { return elements[2]; } _FORCE_INLINE_ void set_origin(const Vector2 &p_origin) { elements[2] = p_origin; } diff --git a/core/math/vector2.h b/core/math/vector2.h index ae2d1ec660..a0c6024c9f 100644 --- a/core/math/vector2.h +++ b/core/math/vector2.h @@ -99,14 +99,15 @@ struct Vector2 { Vector2 operator/(const real_t &rvalue) const; void operator/=(const real_t &rvalue); + void operator/=(const Vector2 &rvalue) { *this = *this / rvalue; } Vector2 operator-() const; bool operator==(const Vector2 &p_vec2) const; bool operator!=(const Vector2 &p_vec2) const; - bool operator<(const Vector2 &p_vec2) const { return (x == p_vec2.x) ? (y < p_vec2.y) : (x < p_vec2.x); } - bool operator<=(const Vector2 &p_vec2) const { return (x == p_vec2.x) ? (y <= p_vec2.y) : (x <= p_vec2.x); } + bool operator<(const Vector2 &p_vec2) const { return (Math::is_equal_approx(x, p_vec2.x)) ? (y < p_vec2.y) : (x < p_vec2.x); } + bool operator<=(const Vector2 &p_vec2) const { return (Math::is_equal_approx(x, p_vec2.x)) ? (y <= p_vec2.y) : (x < p_vec2.x); } real_t angle() const; @@ -212,11 +213,11 @@ _FORCE_INLINE_ Vector2 Vector2::operator-() const { _FORCE_INLINE_ bool Vector2::operator==(const Vector2 &p_vec2) const { - return x == p_vec2.x && y == p_vec2.y; + return Math::is_equal_approx(x, p_vec2.x) && Math::is_equal_approx(y, p_vec2.y); } _FORCE_INLINE_ bool Vector2::operator!=(const Vector2 &p_vec2) const { - return x != p_vec2.x || y != p_vec2.y; + return !Math::is_equal_approx(x, p_vec2.x) || !Math::is_equal_approx(y, p_vec2.y); } Vector2 Vector2::linear_interpolate(const Vector2 &p_b, real_t p_t) const { diff --git a/core/math/vector3.h b/core/math/vector3.h index e9074c5bd4..21fc09653f 100644 --- a/core/math/vector3.h +++ b/core/math/vector3.h @@ -341,17 +341,17 @@ Vector3 Vector3::operator-() const { bool Vector3::operator==(const Vector3 &p_v) const { - return (x == p_v.x && y == p_v.y && z == p_v.z); + return (Math::is_equal_approx(x, p_v.x) && Math::is_equal_approx(y, p_v.y) && Math::is_equal_approx(z, p_v.z)); } bool Vector3::operator!=(const Vector3 &p_v) const { - return (x != p_v.x || y != p_v.y || z != p_v.z); + return (!Math::is_equal_approx(x, p_v.x) || !Math::is_equal_approx(y, p_v.y) || !Math::is_equal_approx(z, p_v.z)); } bool Vector3::operator<(const Vector3 &p_v) const { - if (x == p_v.x) { - if (y == p_v.y) + if (Math::is_equal_approx(x, p_v.x)) { + if (Math::is_equal_approx(y, p_v.y)) return z < p_v.z; else return y < p_v.y; @@ -362,8 +362,8 @@ bool Vector3::operator<(const Vector3 &p_v) const { bool Vector3::operator<=(const Vector3 &p_v) const { - if (x == p_v.x) { - if (y == p_v.y) + if (Math::is_equal_approx(x, p_v.x)) { + if (Math::is_equal_approx(y, p_v.y)) return z <= p_v.z; else return y < p_v.y; @@ -402,13 +402,14 @@ real_t Vector3::length_squared() const { void Vector3::normalize() { - real_t l = length(); - if (l == 0) { + real_t lengthsq = length_squared(); + if (lengthsq == 0) { x = y = z = 0; } else { - x /= l; - y /= l; - z /= l; + real_t length = Math::sqrt(lengthsq); + x /= length; + y /= length; + z /= length; } } |