/* * Cogl * * An object oriented GL/GLES Abstraction/Utility Layer * * Copyright (C) 2008,2009 Intel Corporation. * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Lesser General Public * License as published by the Free Software Foundation; either * version 2 of the License, or (at your option) any later version. * * This library is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this library; if not, write to the * Free Software Foundation, Inc., 59 Temple Place - Suite 330, * Boston, MA 02111-1307, USA. * * Authors: * Robert Bragg */ #ifndef __COGL_MATRIX_H #define __COGL_MATRIX_H #include G_BEGIN_DECLS /** * SECTION:cogl-matrix * @short_description: Fuctions for initializing and manipulating 4x4 * matrices. * * Matrices are used in Cogl to describe affine model-view transforms, texture * transforms, and projective transforms. This exposes a utility API that can * be used for direct manipulation of these matrices. */ /** * CoglMatrix: * * A CoglMatrix holds a 4x4 transform matrix. This is a single precision, * column-major matrix which means it is compatible with what OpenGL expects. * * A CoglMatrix can represent transforms such as, rotations, scaling, * translation, sheering, and linear projections. You can combine these * transforms by multiplying multiple matrices in the order you want them * applied. * * The transformation of a vertex (x, y, z, w) by a CoglMatrix is given by: * * |[ * x_new = xx * x + xy * y + xz * z + xw * w * y_new = yx * x + yy * y + yz * z + yw * w * z_new = zx * x + zy * y + zz * z + zw * w * w_new = wx * x + wy * y + wz * z + ww * w * ]| * * Where w is normally 1 * * You must consider the members of the CoglMatrix structure read only, * and all matrix modifications must be done via the cogl_matrix API. This * allows Cogl to annotate the matrices internally. Violation of this will give * undefined results. If you need to initialize a matrix with a constant other * than the identity matrix you can use cogl_matrix_init_from_array(). */ typedef struct _CoglMatrix { /*< private >*/ /* column 0 */ float xx; float yx; float zx; float wx; /* column 1 */ float xy; float yy; float zy; float wy; /* column 2 */ float xz; float yz; float zz; float wz; /* column 3 */ float xw; float yw; float zw; float ww; /* Note: we may want to extend this later with private flags * and a cache of the inverse transform matrix. */ float _padding0[16]; gulong _padding1; gulong _padding2; gulong _padding3; } CoglMatrix; /** * cogl_matrix_init_identity: * @matrix: A 4x4 transformation matrix * * Resets matrix to the identity matrix: * * .xx=1; .xy=0; .xz=0; .xw=0; * .yx=0; .yy=1; .yz=0; .yw=0; * .zx=0; .zy=0; .zz=1; .zw=0; * .wx=0; .wy=0; .wz=0; .ww=1; * */ void cogl_matrix_init_identity (CoglMatrix *matrix); /** * cogl_matrix_multiply: * @result: The address of a 4x4 matrix to store the result in * @a: A 4x4 transformation matrix * @b: A 4x4 transformation matrix * * This function multiples the two supplied matricies together and stores * the result in @result */ void cogl_matrix_multiply (CoglMatrix *result, const CoglMatrix *a, const CoglMatrix *b); /** * cogl_matrix_rotate: * @matrix: A 4x4 transformation matrix * @angle: The angle you want to rotate in degrees * @x: X component of your rotation vector * @y: Y component of your rotation vector * @z: Z component of your rotation vector * * This function multiples your matrix with a rotation matrix that applies * a rotation of #angle degrees around the specified 3D vector. */ void cogl_matrix_rotate (CoglMatrix *matrix, float angle, float x, float y, float z); /* cogl_matrix_translate: * @matrix: A 4x4 transformation matrix * @x: The X translation you want to apply * @y: The Y translation you want to apply * @z: The Z translation you want to apply * * This function multiples your matrix with a transform matrix that translates * along the X, Y and Z axis. */ void cogl_matrix_translate (CoglMatrix *matrix, float x, float y, float z); /** * cogl_matrix_scale: * @matrix: A 4x4 transformation matrix * @sx: The X scale factor * @sy: The Y scale factor * @sz: The Z scale factor * * This function multiples your matrix with a transform matrix that scales * along the X, Y and Z axis. */ void cogl_matrix_scale (CoglMatrix *matrix, float sx, float sy, float sz); /** * cogl_matrix_frustum: * @matrix: A 4x4 transformation matrix * @left: coord of left vertical clipping plane * @right: coord of right vertical clipping plane * @bottom: coord of bottom horizontal clipping plane * @top: coord of top horizontal clipping plane * @z_near: positive distance to near depth clipping plane * @z_far: positive distance to far depth clipping plane * * Multiplies the matrix by the given frustum perspective matrix. */ void cogl_matrix_frustum (CoglMatrix *matrix, float left, float right, float bottom, float top, float z_near, float z_far); /** * cogl_matrix_perspective: * @matrix: A 4x4 transformation matrix * @fov_y: A field of view angle for the Y axis * @aspect: The ratio of width to height determining the field of view angle * for the x axis. * @z_near: The distance to the near clip plane. * Never pass 0 and always pass a positive number. * @z_far: The distance to the far clip plane. (Should always be positive) * * Multiplies the matrix by the described perspective matrix * * Note: you should be careful not to have to great a @z_far / @z_near ratio * since that will reduce the effectiveness of depth testing since there wont * be enough precision to identify the depth of objects near to each other. */ void cogl_matrix_perspective (CoglMatrix *matrix, float fov_y, float aspect, float z_near, float z_far); /** * cogl_matrix_ortho: * @matrix: A 4x4 transformation matrix * @left: The coordinate for the left clipping plane * @right: The coordinate for the right clipping plane * @bottom: The coordinate for the bottom clipping plane * @top: The coordinate for the top clipping plane * @z_near: The coordinate for the near clipping plane (may be negative if * the plane is behind the viewer) * @z_far: The coordinate for the far clipping plane (may be negative if * the plane is behind the viewer) * * Multiples the matrix by a parallel projection matrix. */ void cogl_matrix_ortho (CoglMatrix *matrix, float left, float right, float bottom, float top, float z_near, float z_far); /** * cogl_matrix_init_from_array: * @matrix: A 4x4 transformation matrix * @array: A linear array of 16 floats (column-major order) * * This initialises @matrix with the contents of @array */ void cogl_matrix_init_from_array (CoglMatrix *matrix, const float *array); /** * cogl_matrix_get_array: * @matrix: A 4x4 transformation matrix * * This casts a CoglMatrix to a float array which can be directly passed to * OpenGL. * * Return value: a pointer to the float array */ G_CONST_RETURN float *cogl_matrix_get_array (const CoglMatrix *matrix); /** * cogl_matrix_transform_point: * @matrix: A 4x4 transformation matrix * @x: The X component of your points position [in:out] * @y: The Y component of your points position [in:out] * @z: The Z component of your points position [in:out] * @w: The W component of your points position [in:out] * * This transforms a point whos position is given and returned * as four float components. */ void cogl_matrix_transform_point (const CoglMatrix *matrix, float *x, float *y, float *z, float *w); G_END_DECLS #endif /* __COGL_MATRIX_H */