vector2.hpp 11 KB

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  1. /**************************************************************************/
  2. /* vector2.hpp */
  3. /**************************************************************************/
  4. /* This file is part of: */
  5. /* GODOT ENGINE */
  6. /* https://godotengine.org */
  7. /**************************************************************************/
  8. /* Copyright (c) 2014-present Godot Engine contributors (see AUTHORS.md). */
  9. /* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur. */
  10. /* */
  11. /* Permission is hereby granted, free of charge, to any person obtaining */
  12. /* a copy of this software and associated documentation files (the */
  13. /* "Software"), to deal in the Software without restriction, including */
  14. /* without limitation the rights to use, copy, modify, merge, publish, */
  15. /* distribute, sublicense, and/or sell copies of the Software, and to */
  16. /* permit persons to whom the Software is furnished to do so, subject to */
  17. /* the following conditions: */
  18. /* */
  19. /* The above copyright notice and this permission notice shall be */
  20. /* included in all copies or substantial portions of the Software. */
  21. /* */
  22. /* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
  23. /* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
  24. /* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. */
  25. /* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
  26. /* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
  27. /* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
  28. /* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
  29. /**************************************************************************/
  30. #ifndef GODOT_VECTOR2_HPP
  31. #define GODOT_VECTOR2_HPP
  32. #include <godot_cpp/core/error_macros.hpp>
  33. #include <godot_cpp/core/math.hpp>
  34. namespace godot {
  35. class String;
  36. struct Vector2i;
  37. struct _NO_DISCARD_ Vector2 {
  38. static const int AXIS_COUNT = 2;
  39. enum Axis {
  40. AXIS_X,
  41. AXIS_Y,
  42. };
  43. union {
  44. struct {
  45. union {
  46. real_t x;
  47. real_t width;
  48. };
  49. union {
  50. real_t y;
  51. real_t height;
  52. };
  53. };
  54. real_t coord[2] = { 0 };
  55. };
  56. _FORCE_INLINE_ real_t &operator[](int p_idx) {
  57. DEV_ASSERT((unsigned int)p_idx < 2);
  58. return coord[p_idx];
  59. }
  60. _FORCE_INLINE_ const real_t &operator[](int p_idx) const {
  61. DEV_ASSERT((unsigned int)p_idx < 2);
  62. return coord[p_idx];
  63. }
  64. _FORCE_INLINE_ Vector2::Axis min_axis_index() const {
  65. return x < y ? Vector2::AXIS_X : Vector2::AXIS_Y;
  66. }
  67. _FORCE_INLINE_ Vector2::Axis max_axis_index() const {
  68. return x < y ? Vector2::AXIS_Y : Vector2::AXIS_X;
  69. }
  70. void normalize();
  71. Vector2 normalized() const;
  72. bool is_normalized() const;
  73. real_t length() const;
  74. real_t length_squared() const;
  75. Vector2 limit_length(const real_t p_len = 1.0) const;
  76. Vector2 min(const Vector2 &p_vector2) const {
  77. return Vector2(MIN(x, p_vector2.x), MIN(y, p_vector2.y));
  78. }
  79. Vector2 minf(real_t p_scalar) const {
  80. return Vector2(MIN(x, p_scalar), MIN(y, p_scalar));
  81. }
  82. Vector2 max(const Vector2 &p_vector2) const {
  83. return Vector2(MAX(x, p_vector2.x), MAX(y, p_vector2.y));
  84. }
  85. Vector2 maxf(real_t p_scalar) const {
  86. return Vector2(MAX(x, p_scalar), MAX(y, p_scalar));
  87. }
  88. real_t distance_to(const Vector2 &p_vector2) const;
  89. real_t distance_squared_to(const Vector2 &p_vector2) const;
  90. real_t angle_to(const Vector2 &p_vector2) const;
  91. real_t angle_to_point(const Vector2 &p_vector2) const;
  92. _FORCE_INLINE_ Vector2 direction_to(const Vector2 &p_to) const;
  93. real_t dot(const Vector2 &p_other) const;
  94. real_t cross(const Vector2 &p_other) const;
  95. Vector2 posmod(const real_t p_mod) const;
  96. Vector2 posmodv(const Vector2 &p_modv) const;
  97. Vector2 project(const Vector2 &p_to) const;
  98. Vector2 plane_project(const real_t p_d, const Vector2 &p_vec) const;
  99. _FORCE_INLINE_ Vector2 lerp(const Vector2 &p_to, const real_t p_weight) const;
  100. _FORCE_INLINE_ Vector2 slerp(const Vector2 &p_to, const real_t p_weight) const;
  101. _FORCE_INLINE_ Vector2 cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const;
  102. _FORCE_INLINE_ Vector2 cubic_interpolate_in_time(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight, const real_t &p_b_t, const real_t &p_pre_a_t, const real_t &p_post_b_t) const;
  103. _FORCE_INLINE_ Vector2 bezier_interpolate(const Vector2 &p_control_1, const Vector2 &p_control_2, const Vector2 &p_end, const real_t p_t) const;
  104. Vector2 move_toward(const Vector2 &p_to, const real_t p_delta) const;
  105. Vector2 slide(const Vector2 &p_normal) const;
  106. Vector2 bounce(const Vector2 &p_normal) const;
  107. Vector2 reflect(const Vector2 &p_normal) const;
  108. bool is_equal_approx(const Vector2 &p_v) const;
  109. bool is_zero_approx() const;
  110. bool is_finite() const;
  111. Vector2 operator+(const Vector2 &p_v) const;
  112. void operator+=(const Vector2 &p_v);
  113. Vector2 operator-(const Vector2 &p_v) const;
  114. void operator-=(const Vector2 &p_v);
  115. Vector2 operator*(const Vector2 &p_v1) const;
  116. Vector2 operator*(const real_t &rvalue) const;
  117. void operator*=(const real_t &rvalue);
  118. void operator*=(const Vector2 &rvalue) { *this = *this * rvalue; }
  119. Vector2 operator/(const Vector2 &p_v1) const;
  120. Vector2 operator/(const real_t &rvalue) const;
  121. void operator/=(const real_t &rvalue);
  122. void operator/=(const Vector2 &rvalue) { *this = *this / rvalue; }
  123. Vector2 operator-() const;
  124. bool operator==(const Vector2 &p_vec2) const;
  125. bool operator!=(const Vector2 &p_vec2) const;
  126. bool operator<(const Vector2 &p_vec2) const { return x == p_vec2.x ? (y < p_vec2.y) : (x < p_vec2.x); }
  127. bool operator>(const Vector2 &p_vec2) const { return x == p_vec2.x ? (y > p_vec2.y) : (x > p_vec2.x); }
  128. bool operator<=(const Vector2 &p_vec2) const { return x == p_vec2.x ? (y <= p_vec2.y) : (x < p_vec2.x); }
  129. bool operator>=(const Vector2 &p_vec2) const { return x == p_vec2.x ? (y >= p_vec2.y) : (x > p_vec2.x); }
  130. real_t angle() const;
  131. static Vector2 from_angle(const real_t p_angle);
  132. _FORCE_INLINE_ Vector2 abs() const {
  133. return Vector2(Math::abs(x), Math::abs(y));
  134. }
  135. Vector2 rotated(const real_t p_by) const;
  136. Vector2 orthogonal() const {
  137. return Vector2(y, -x);
  138. }
  139. Vector2 sign() const;
  140. Vector2 floor() const;
  141. Vector2 ceil() const;
  142. Vector2 round() const;
  143. Vector2 snapped(const Vector2 &p_by) const;
  144. Vector2 snappedf(real_t p_by) const;
  145. Vector2 clamp(const Vector2 &p_min, const Vector2 &p_max) const;
  146. Vector2 clampf(real_t p_min, real_t p_max) const;
  147. real_t aspect() const { return width / height; }
  148. operator String() const;
  149. operator Vector2i() const;
  150. _FORCE_INLINE_ Vector2() {}
  151. _FORCE_INLINE_ Vector2(const real_t p_x, const real_t p_y) {
  152. x = p_x;
  153. y = p_y;
  154. }
  155. };
  156. _FORCE_INLINE_ Vector2 Vector2::plane_project(const real_t p_d, const Vector2 &p_vec) const {
  157. return p_vec - *this * (dot(p_vec) - p_d);
  158. }
  159. _FORCE_INLINE_ Vector2 Vector2::operator+(const Vector2 &p_v) const {
  160. return Vector2(x + p_v.x, y + p_v.y);
  161. }
  162. _FORCE_INLINE_ void Vector2::operator+=(const Vector2 &p_v) {
  163. x += p_v.x;
  164. y += p_v.y;
  165. }
  166. _FORCE_INLINE_ Vector2 Vector2::operator-(const Vector2 &p_v) const {
  167. return Vector2(x - p_v.x, y - p_v.y);
  168. }
  169. _FORCE_INLINE_ void Vector2::operator-=(const Vector2 &p_v) {
  170. x -= p_v.x;
  171. y -= p_v.y;
  172. }
  173. _FORCE_INLINE_ Vector2 Vector2::operator*(const Vector2 &p_v1) const {
  174. return Vector2(x * p_v1.x, y * p_v1.y);
  175. }
  176. _FORCE_INLINE_ Vector2 Vector2::operator*(const real_t &rvalue) const {
  177. return Vector2(x * rvalue, y * rvalue);
  178. }
  179. _FORCE_INLINE_ void Vector2::operator*=(const real_t &rvalue) {
  180. x *= rvalue;
  181. y *= rvalue;
  182. }
  183. _FORCE_INLINE_ Vector2 Vector2::operator/(const Vector2 &p_v1) const {
  184. return Vector2(x / p_v1.x, y / p_v1.y);
  185. }
  186. _FORCE_INLINE_ Vector2 Vector2::operator/(const real_t &rvalue) const {
  187. return Vector2(x / rvalue, y / rvalue);
  188. }
  189. _FORCE_INLINE_ void Vector2::operator/=(const real_t &rvalue) {
  190. x /= rvalue;
  191. y /= rvalue;
  192. }
  193. _FORCE_INLINE_ Vector2 Vector2::operator-() const {
  194. return Vector2(-x, -y);
  195. }
  196. _FORCE_INLINE_ bool Vector2::operator==(const Vector2 &p_vec2) const {
  197. return x == p_vec2.x && y == p_vec2.y;
  198. }
  199. _FORCE_INLINE_ bool Vector2::operator!=(const Vector2 &p_vec2) const {
  200. return x != p_vec2.x || y != p_vec2.y;
  201. }
  202. Vector2 Vector2::lerp(const Vector2 &p_to, const real_t p_weight) const {
  203. Vector2 res = *this;
  204. res.x += (p_weight * (p_to.x - x));
  205. res.y += (p_weight * (p_to.y - y));
  206. return res;
  207. }
  208. Vector2 Vector2::slerp(const Vector2 &p_to, const real_t p_weight) const {
  209. real_t start_length_sq = length_squared();
  210. real_t end_length_sq = p_to.length_squared();
  211. if (unlikely(start_length_sq == 0.0f || end_length_sq == 0.0f)) {
  212. // Zero length vectors have no angle, so the best we can do is either lerp or throw an error.
  213. return lerp(p_to, p_weight);
  214. }
  215. real_t start_length = Math::sqrt(start_length_sq);
  216. real_t result_length = Math::lerp(start_length, Math::sqrt(end_length_sq), p_weight);
  217. real_t angle = angle_to(p_to);
  218. return rotated(angle * p_weight) * (result_length / start_length);
  219. }
  220. Vector2 Vector2::cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const {
  221. Vector2 res = *this;
  222. res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight);
  223. res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight);
  224. return res;
  225. }
  226. Vector2 Vector2::cubic_interpolate_in_time(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight, const real_t &p_b_t, const real_t &p_pre_a_t, const real_t &p_post_b_t) const {
  227. Vector2 res = *this;
  228. res.x = Math::cubic_interpolate_in_time(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight, p_b_t, p_pre_a_t, p_post_b_t);
  229. res.y = Math::cubic_interpolate_in_time(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight, p_b_t, p_pre_a_t, p_post_b_t);
  230. return res;
  231. }
  232. Vector2 Vector2::bezier_interpolate(const Vector2 &p_control_1, const Vector2 &p_control_2, const Vector2 &p_end, const real_t p_t) const {
  233. Vector2 res = *this;
  234. /* Formula from Wikipedia article on Bezier curves. */
  235. real_t omt = (1.0 - p_t);
  236. real_t omt2 = omt * omt;
  237. real_t omt3 = omt2 * omt;
  238. real_t t2 = p_t * p_t;
  239. real_t t3 = t2 * p_t;
  240. return res * omt3 + p_control_1 * omt2 * p_t * 3.0 + p_control_2 * omt * t2 * 3.0 + p_end * t3;
  241. }
  242. Vector2 Vector2::direction_to(const Vector2 &p_to) const {
  243. Vector2 ret(p_to.x - x, p_to.y - y);
  244. ret.normalize();
  245. return ret;
  246. }
  247. // Multiplication operators required to workaround issues with LLVM using implicit conversion
  248. // to Vector2i instead for integers where it should not.
  249. _FORCE_INLINE_ Vector2 operator*(const float p_scalar, const Vector2 &p_vec) {
  250. return p_vec * p_scalar;
  251. }
  252. _FORCE_INLINE_ Vector2 operator*(const double p_scalar, const Vector2 &p_vec) {
  253. return p_vec * p_scalar;
  254. }
  255. _FORCE_INLINE_ Vector2 operator*(const int32_t p_scalar, const Vector2 &p_vec) {
  256. return p_vec * p_scalar;
  257. }
  258. _FORCE_INLINE_ Vector2 operator*(const int64_t p_scalar, const Vector2 &p_vec) {
  259. return p_vec * p_scalar;
  260. }
  261. typedef Vector2 Size2;
  262. typedef Vector2 Point2;
  263. } // namespace godot
  264. #endif // GODOT_VECTOR2_HPP