eina_vector2_transform(Eina_Vector2 *out, const Eina_Matrix2 *m,
const Eina_Vector2 *v)
{
- Eina_Vector2 tmp;
-
- tmp.x = (m->xx * v->x) + (m->yx * v->y);
- tmp.y = (m->xy * v->x) + (m->yy * v->y);
-
- eina_vector2_copy(out, &tmp);
+ out->x = (m->xx * v->x) + (m->yx * v->y);
+ out->y = (m->xy * v->x) + (m->yy * v->y);
}
static inline void
const Eina_Matrix3 *m,
const Eina_Vector2 *v)
{
- Eina_Vector2 tmp;
+ out->x = (m->xx * v->x) + (m->yx * v->y);
+ out->y = (m->xy * v->x) + (m->yy * v->y);
+}
+
+static inline void
+eina_vector3_set(Eina_Vector3 *dst, double x, double y, double z)
+{
+ dst->x = x;
+ dst->y = y;
+ dst->z = z;
+}
+
+static inline void
+eina_vector3_array_set(Eina_Vector3 *dst, const double *v)
+{
+ dst->x = v[0];
+ dst->y = v[1];
+ dst->z = v[2];
+}
+
+static inline void
+eina_vector3_copy(Eina_Vector3 *dst, const Eina_Vector3 *src)
+{
+ dst->x = src->x;
+ dst->y = src->y;
+ dst->z = src->z;
+}
+
+static inline void
+eina_vector3_negate(Eina_Vector3 *out, const Eina_Vector3 *v)
+{
+ out->x = -v->x;
+ out->y = -v->y;
+ out->z = -v->z;
+}
+
+static inline void
+eina_vector3_add(Eina_Vector3 *out, const Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ out->x = a->x + b->x;
+ out->y = a->y + b->y;
+ out->z = a->z + b->z;
+}
- tmp.x = (m->xx * v->x) + (m->yx * v->y);
- tmp.y = (m->xy * v->x) + (m->yy * v->y);
+static inline void
+eina_vector3_subtract(Eina_Vector3 *out, const Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ out->x = a->x - b->x;
+ out->y = a->y - b->y;
+ out->z = a->z - b->z;
+}
+
+static inline void
+eina_vector3_scale(Eina_Vector3 *out, const Eina_Vector3 *v, double scale)
+{
+ out->x = scale * v->x;
+ out->y = scale * v->y;
+ out->z = scale * v->z;
+}
+
+static inline void
+eina_vector3_multiply(Eina_Vector3 *out, const Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ out->x = a->x * b->x;
+ out->y = a->y * b->y;
+ out->z = a->z * b->z;
+}
+
+static inline double
+eina_vector3_dot_product(const Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ return (a->x * b->x) + (a->y * b->y) + (a->z * b->z);
+}
+
+static inline void
+eina_vector3_cross_product(Eina_Vector3 *out, const Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ out->x = a->y * b->z - a->z * b->y;
+ out->y = a->z * b->x - a->x * b->z;
+ out->z = a->x * b->y - a->y * b->x;
+}
+
+static inline double
+eina_vector3_length_get(const Eina_Vector3 *v)
+{
+ return (double)sqrt((double)((v->x * v->x) + (v->y * v->y) + (v->z * v->z)));
+}
+
+static inline double
+eina_vector3_length_square_get(const Eina_Vector3 *v)
+{
+ return (v->x * v->x) + (v->y * v->y) + (v->z * v->z);
+}
+
+static inline double
+eina_vector3_distance_get(const Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ Eina_Vector3 v;
+
+ eina_vector3_subtract(&v, a, b);
+ return eina_vector3_length_get(&v);
+}
+
+static inline double
+eina_vector3_distance_square_get(const Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ Eina_Vector3 v;
+
+ eina_vector3_subtract(&v, a, b);
+ return eina_vector3_length_square_get(&v);
+}
+
+static inline double
+eina_vector3_angle_get(const Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ double angle;
+
+ angle = eina_vector3_dot_product(a, b) /
+ (eina_vector3_length_get(a) * eina_vector3_length_get(b));
+ return angle;
+}
+
+static inline void
+eina_vector3_normalize(Eina_Vector3 *out, const Eina_Vector3 *v)
+{
+ /* Assume "v" is not a zero vector */
+ eina_vector3_scale(out, v, 1.0 / eina_vector3_length_get(v));
+}
+
+static inline void
+eina_vector3_transform(Eina_Vector3 *out, const Eina_Matrix3 *m, const Eina_Vector3 *v)
+{
+ if (eina_matrix3_type_get(m) == EINA_MATRIX_TYPE_IDENTITY)
+ {
+ eina_vector3_copy(out, v);
+ return;
+ }
+
+ out->x = (m->xx * v->x) + (m->yx * v->y) + (m->zx * v->z);
+ out->y = (m->xy * v->x) + (m->yy * v->y) + (m->zy * v->z);
+ out->z = (m->xz * v->x) + (m->yz * v->y) + (m->zz * v->z);
+}
+
+static inline void
+eina_vector3_homogeneous_position_transform(Eina_Vector3 *out, const Eina_Matrix4 *m,
+ const Eina_Vector3 *v)
+{
+ Eina_Vector3 tmp;
+
+ if (eina_matrix4_type_get(m) == EINA_MATRIX_TYPE_IDENTITY)
+ {
+ eina_vector3_copy(out, v);
+ return;
+ }
+
+ if (((m->xw * v->x) + (m->yw * v->y) + (m->zw * v->z) + m->ww) == 0.0)
+ return;
+
+ tmp.x = (m->xx * v->x) + (m->yx * v->y) + (m->zx * v->z) + m->wx;
+ tmp.y = (m->xy * v->x) + (m->yy * v->y) + (m->zy * v->z) + m->wy;
+ tmp.z = (m->xz * v->x) + (m->yz * v->y) + (m->zz * v->z) + m->wz;
+
+ eina_vector3_scale(out, &tmp,
+ 1.0 / ((m->xw * v->x) + (m->yw * v->y) + (m->zw * v->z) + m->ww));
+}
+
+static inline void
+eina_vector3_quaternion_rotate(Eina_Vector3 *out, const Eina_Vector3 *v,
+ const Eina_Quaternion *q)
+{
+ Eina_Vector3 uv, uuv;
+ Eina_Vector3 axis;
+
+ eina_vector3_set(&axis, q->x, q->y, q->z);
+
+ eina_vector3_cross_product(&uv, &axis, v);
+ eina_vector3_cross_product(&uuv, &axis, &uv);
+
+ eina_vector3_scale(&uv, &uv, 2.0 * q->w);
+ eina_vector3_scale(&uuv, &uuv, 2.0);
+
+ out->x = v->x + uv.x + uuv.x;
+ out->y = v->y + uv.y + uuv.y;
+ out->z = v->z + uv.z + uuv.z;
+}
+
+static inline void
+eina_vector3_orthogonal_projection_on_plane(Eina_Vector3 *out, const Eina_Vector3 *v,
+ const Eina_Vector3 *normal)
+{
+ double a;
+ Eina_Vector3 projection;
+
+ /* Orthoprojection of vector on the plane is the difference
+ between a vector and its orthogonal projection onto the orthogonal
+ complement to the plane */
+ a = eina_vector3_dot_product(v, normal) / eina_vector3_length_square_get(normal);
+ eina_vector3_scale(&projection, normal, a);
+ eina_vector3_subtract(out, v, &projection);
+
+ return;
+}
+
+static inline void
+eina_vector3_plane_by_points(Eina_Quaternion *out, const Eina_Vector3 *a,
+ const Eina_Vector3 *b, const Eina_Vector3 *c)
+{
+ out->x = (b->y - a->y) * (c->z - a->z) - (b->z - a->z) * (c->y - a->y);
+ out->y = -(b->x - a->x) * (c->z - a->z) + (b->z - a->z) * (c->x - a->x);
+ out->z = (b->x - a->x) * (c->y - a->y) - (b->y - a->y) * (c->x - a->x);
+ out->w = (-a->x) * ((b->y - a->y)*(c->z - a->z) - (b->z - a->z) * (c->y - a->y)) -
+ (-a->y) * ((b->x - a->x) * (c->z - a->z) - (b->z - a->z) * (c->x - a->x)) +
+ (-a->z) * ((b->x - a->x) * (c->y - a->y) - (b->y - a->y) * (c->x - a->x));
+}
+
+static inline void
+eina_vector3_homogeneous_position_set(Eina_Vector3 *out, const Eina_Quaternion *v)
+{
+ /* Assume "v" is a positional vector. (v->w != 0.0) */
+ double h = 1.0 / v->w;
+
+ out->x = v->x * h;
+ out->y = v->y * h;
+ out->z = v->z * h;
+}
+
+static inline void
+eina_vector3_homogeneous_direction_set(Eina_Vector3 *out, const Eina_Quaternion *v)
+{
+ /* Assume "v" is a directional vector. (v->w == 0.0) */
+ out->x = v->x;
+ out->y = v->y;
+ out->z = v->z;
+}
+
+static inline Eina_Bool
+eina_vector3_equivalent(Eina_Vector3 *a, const Eina_Vector3 *b)
+{
+ /* Assume "v" is a directional vector. (v->w == 0.0) */
+ return ((a->x == b->x) && (a->y == b->y) && (a->z == b->z));
+}
+
+static inline Eina_Bool
+eina_vector3_triangle_equivalent(Eina_Vector3 *v0, Eina_Vector3 *v1,
+ Eina_Vector3 *v2, Eina_Vector3 *w0,
+ Eina_Vector3 *w1, Eina_Vector3 *w2)
+{
+ if (((v0->x == w0->x) && (v0->y == w0->y) && (v0->z == w0->z)) &&
+ ((v1->x == w1->x) && (v1->y == w1->y) && (v1->z == w1->z)) &&
+ ((v2->x == w2->x) && (v2->y == w2->y) && (v2->z == w2->z)))
+ return EINA_TRUE;
- eina_vector2_copy(out, &tmp);
+ return EINA_FALSE;
}
#endif
/* EINA - EFL data type library
- * Copyright (C) 2016 Cedric Bail
+ * Copyright (C) 2016 Sergey Osadchy
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
#define EINA_VECTOR_H_
#include "eina_matrix.h"
+#include "eina_quaternion.h"
/**
* @file
* @ender_group{Eina_Vector_Type}
* @ender_group{Eina_Vector2}
+ * @ender_group{Eina_Vector3}
*/
typedef struct _Eina_Vector2 Eina_Vector2;
+typedef struct _Eina_Vector3 Eina_Vector3;
/**
* @}
};
/**
+ * @}
+ * @defgroup Eina_Vector3 Vectors in floating point
+ * @ingroup Eina_Basic
+ * @brief Vector definition and operations
+ * @{
+ */
+
+struct _Eina_Vector3
+{
+ double x;
+ double y;
+ double z;
+};
+
+/**
* @brief Set parameters to vector.
*
* @param dst The resulting vector.
*
* @param out The resulting vector.
* @param m The matrix for transform.
- * @param v The ector for transform.
+ * @param v The vector for transform.
*
* @since 1.17
*/
*
* @param out The resulting vector.
* @param m The matrix for transform.
- * @param v The ector for transform.
+ * @param v The vector for transform.
*
* @since 1.17
*/
static inline void eina_vector2_homogeneous_position_transform(Eina_Vector2 *out, const Eina_Matrix3 *m, const Eina_Vector2 *v);
/**
- * @brief Homogeneous direction ransform vector.
+ * @brief Homogeneous direction transform vector.
*
* @param out The resulting vector.
* @param m The matrix for transform.
- * @param v The ector for transform.
+ * @param v The vector for transform.
*
* @since 1.17
*/
static inline void eina_vector2_homogeneous_direction_transform(Eina_Vector2 *out, const Eina_Matrix3 *m, const Eina_Vector2 *v);
+/**
+ * @brief Set parameters to vector.
+ *
+ * @param dst The resulting vector.
+ * @param x The x component.
+ * @param y The y component.
+ * @param z The z component.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_set(Eina_Vector3 *dst, double x, double y, double z);
+
+/**
+ * @brief Set array to vector.
+ *
+ * @param dst The resulting vector.
+ * @param v The the array[3] for set.
+ *
+ * Set to vector first 3 elements from array.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_array_set(Eina_Vector3 *dst, const double *v);
+
+/**
+ * @brief Copy vector.
+ *
+ * @param dst The vector copy.
+ * @param src The vector for copy.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_copy(Eina_Vector3 *dst, const Eina_Vector3 *src);
+
+/**
+ * @brief Make negative vector.
+ *
+ * @param out The resulting vector.
+ * @param v The current vector.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_negate(Eina_Vector3 *out, const Eina_Vector3 *v);
+
+/**
+ * @brief Add two vectors.
+ *
+ * @param out The resulting vector.
+ * @param a The first member of the add.
+ * @param b The second member of the add.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_add(Eina_Vector3 *out, const Eina_Vector3 *a,
+ const Eina_Vector3 *b);
+
+/**
+ * @brief Subtract two vectors
+ *
+ * @param out The resulting vector
+ * @param a The first member of the subtract
+ * @param b The second member of the subtract
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_subtract(Eina_Vector3 *out, const Eina_Vector3 *a,
+ const Eina_Vector3 *b);
+
+/**
+ * @brief Scale vector.
+ *
+ * @param out The resulting vector.
+ * @param v The vector for scale.
+ * @param scale The scale value.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_scale(Eina_Vector3 *out, const Eina_Vector3 *v, double scale);
+
+/**
+ * @brief Multiply two vectors
+ *
+ * @param out The resulting vector
+ * @param a The first member
+ * @param b The second member
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_multiply(Eina_Vector3 *out, const Eina_Vector3 *a,
+ const Eina_Vector3 *b);
+
+/**
+ * @brief Return the dot product of the two vectors.
+ *
+ * @param a The first member.
+ * @param b The secondt member.
+ * @return The dot product.
+ *
+ * @since 1.18
+ */
+static inline double eina_vector3_dot_product(const Eina_Vector3 *a, const Eina_Vector3 *b);
+
+/**
+ * @brief Create the cross product of the two vectors.
+ *
+ * @param out The resulting vector.
+ * @param a The first member.
+ * @param b The secondt member.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_cross_product(Eina_Vector3 *out, const Eina_Vector3 *a,
+ const Eina_Vector3 *b);
+
+/**
+ * @brief Return the length of the given vector.
+ *
+ * @param v The vector.
+ * @return The length.
+ *
+ * @since 1.18
+ */
+static inline double eina_vector3_length_get(const Eina_Vector3 *v);
+
+/**
+ * @brief Return the length in square of the given vector.
+ *
+ * @param v The vector.
+ * @return The length in square.
+ *
+ * @since 1.18
+ */
+static inline double eina_vector3_length_square_get(const Eina_Vector3 *v);
+
+/**
+ * @brief Return the distance between of two vectors.
+ *
+ * @param a The first vector.
+ * @param b The second vector.
+ * @return The distance.
+ *
+ * @since 1.18
+ */
+static inline double eina_vector3_distance_get(const Eina_Vector3 *a, const Eina_Vector3 *b);
+
+/**
+ * @brief Return the distance in square between of two vectors.
+ *
+ * @param a The first vector.
+ * @param b The second vector.
+ * @return The distance in square.
+ *
+ * @since 1.18
+ */
+static inline double eina_vector3_distance_square_get(const Eina_Vector3 *a,
+ const Eina_Vector3 *b);
+
+/**
+ * @brief Return the angle between of two vectors.
+ *
+ * @param a The first vector.
+ * @param b The second vector.
+ * @return The angle.
+ *
+ * @since 1.18
+ */
+static inline double eina_vector3_angle_get(const Eina_Vector3 *a, const Eina_Vector3 *b);
+
+/**
+ * @brief normalize vector.
+ *
+ * @param out The resulting vector.
+ * @param v The not NULL vector for normalize.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_normalize(Eina_Vector3 *out, const Eina_Vector3 *v);
+
+/**
+ * @brief Transform vector.
+ *
+ * @param out The resulting vector.
+ * @param m The matrix for transform.
+ * @param v The vector for transform.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_transform(Eina_Vector3 *out, const Eina_Matrix3 *m,
+ const Eina_Vector3 *v);
+
+/**
+ * @brief Homogeneous position transform vector.
+ *
+ * @param out The resulting vector.
+ * @param m The matrix for transform.
+ * @param v The vector for transform.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_homogeneous_position_transform(Eina_Vector3 *out, const Eina_Matrix4 *m,
+ const Eina_Vector3 *v);
+
+
+/**
+ * @brief Rotate vector.
+ *
+ * @param out The resulting vector.
+ * @param v The vector for rotate.
+ * @param q The quaternion in radians for rotate.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_quaternion_rotate(Eina_Vector3 *out, const Eina_Vector3 *v,
+ const Eina_Quaternion *q);
+
+/**
+ * @brief Create orthogonal projection on plane between vector and normal.
+ *
+ * @param out The resulting vector.
+ * @param v The vector for projection.
+ * @param normal The normal for projection.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_orthogonal_projection_on_plane(Eina_Vector3 *out, const Eina_Vector3 *v,
+ const Eina_Vector3 *normal);
+
+/**
+ * @brief Plane by points between three vectors.
+ *
+ * @param out The resulting quaternion of plane.
+ * @param a The first member.
+ * @param b The second member.
+ * @param c The third member.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_plane_by_points(Eina_Quaternion *out, const Eina_Vector3 *a,
+ const Eina_Vector3 *b, const Eina_Vector3 *c);
+
+/**
+ * @brief Homogeneous position set.
+ *
+ * @param out The resulting vector.
+ * @param v The quaternion for position.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_homogeneous_position_set(Eina_Vector3 *out, const Eina_Quaternion *v);
+
+/**
+ * @brief Homogeneous direction set.
+ *
+ * @param out The resulting vector.
+ * @param v The quaternion for direction.
+ *
+ * @since 1.18
+ */
+static inline void eina_vector3_homogeneous_direction_set(Eina_Vector3 *out, const Eina_Quaternion *v);
+
+/**
+ * @brief Check the equivalent between of two vectors.
+ *
+ * @param a The first vector.
+ * @param b The second vector.
+ * @return The EINA_TRUE if equivalent.
+ *
+ * @since 1.18
+ */
+static inline Eina_Bool eina_vector3_equivalent(Eina_Vector3 *a, const Eina_Vector3 *b);
+
+/**
+ * @brief Check the equivalent between of two triangles of vectors.
+ *
+ * @param v0 The first member of first triangle.
+ * @param v1 The second member of first triangle.
+ * @param v2 The third member of first triangle.
+ * @param w0 The first member of second triangle.
+ * @param w1 The second member of second triangle.
+ * @param w2 The third member of second triangle.
+ * @return The EINA_TRUE if equivalent.
+ *
+ * @since 1.18
+ */
+static inline Eina_Bool eina_vector3_triangle_equivalent(Eina_Vector3 *v0, Eina_Vector3 *v1,
+ Eina_Vector3 *v2, Eina_Vector3 *w0,
+ Eina_Vector3 *w1, Eina_Vector3 *w2);
+
/** @} */
#include "eina_inline_vector.x"
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