/* * kmscon - GL Math Helpers * * Copyright (c) 2011 David Herrmann * Copyright (c) 2011 University of Tuebingen * * Permission is hereby granted, free of charge, to any person obtaining * a copy of this software and associated documentation files * (the "Software"), to deal in the Software without restriction, including * without limitation the rights to use, copy, modify, merge, publish, * distribute, sublicense, and/or sell copies of the Software, and to * permit persons to whom the Software is furnished to do so, subject to * the following conditions: * * The above copyright notice and this permission notice shall be included * in all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ /* * Math Helper * Basic linear algebra and a matrix stack helper. */ #include #include #include #include "static_gl.h" struct gl_m4_entry { struct gl_m4_entry *next; float matrix[16]; }; struct gl_m4_stack { struct gl_m4_entry stack; struct gl_m4_entry *cache; }; void gl_m4_identity(float *m) { if (!m) return; m[0] = 1; m[1] = 0; m[2] = 0; m[3] = 0; m[4] = 0; m[5] = 1; m[6] = 0; m[7] = 0; m[8] = 0; m[9] = 0; m[10] = 1; m[11] = 0; m[12] = 0; m[13] = 0; m[14] = 0; m[15] = 1; } void gl_m4_copy(float *dest, const float *src) { if (!dest || !src) return; dest[0] = src[0]; dest[1] = src[1]; dest[2] = src[2]; dest[3] = src[3]; dest[4] = src[4]; dest[5] = src[5]; dest[6] = src[6]; dest[7] = src[7]; dest[8] = src[8]; dest[9] = src[9]; dest[10] = src[10]; dest[11] = src[11]; dest[12] = src[12]; dest[13] = src[13]; dest[14] = src[14]; dest[15] = src[15]; } /* Matrix Multiplication * This is the simplest algorithm to multiply two matrices. It computes: * dest = n * m * That is, n is left side and m is right side. * * Matrix-multiplication is heavy, avoid it if possible. */ void gl_m4_mult_dest(float *dest, const float *n, const float *m) { unsigned int row, col, j; if (!dest || !n || !m) return; for (row = 0; row < 4; ++row) { for (col = 0; col < 4; ++col) { dest[row * 4 + col] = 0; for (j = 0; j < 4; ++j) dest[row * 4 + col] += n[row * 4 + j] * m[j * 4 + col]; } } } /* this computes n = n * m */ void gl_m4_mult(float *n, const float *m) { float tmp[16]; if (!n || !m) return; gl_m4_mult_dest(tmp, n, m); gl_m4_copy(n, tmp); } void gl_m4_translate(float *m, float x, float y, float z) { float trans[16] = { 1, 0, 0, x, 0, 1, 0, y, 0, 0, 1, z, 0, 0, 0, 1 }; if (!m) return; gl_m4_mult(m, trans); } void gl_m4_scale(float *m, float x, float y, float z) { float scale[16] = { x, 0, 0, 0, 0, y, 0, 0, 0, 0, z, 0, 0, 0, 0, 1 }; if (!m) return; gl_m4_mult(m, scale); } void gl_m4_transpose_dest(float *dest, const float *src) { if (!dest || !src) return; dest[0] = src[0]; dest[5] = src[5]; dest[10] = src[10]; dest[15] = src[15]; dest[1] = src[4]; dest[4] = src[1]; dest[8] = src[2]; dest[2] = src[8]; dest[3] = src[12]; dest[12] = src[3]; dest[7] = src[13]; dest[13] = src[7]; dest[11] = src[14]; dest[14] = src[11]; dest[6] = src[9]; dest[9] = src[6]; } void gl_m4_transpose(float *m) { float tmp; if (!m) return; tmp = m[1]; m[1] = m[4]; m[4] = tmp; tmp = m[8]; m[8] = m[2]; m[2] = tmp; tmp = m[3]; m[3] = m[12]; m[12] = tmp; tmp = m[7]; m[7] = m[13]; m[13] = tmp; tmp = m[11]; m[11] = m[14]; m[14] = tmp; tmp = m[6]; m[6] = m[9]; m[9] = tmp; } int gl_m4_stack_new(struct gl_m4_stack **out) { struct gl_m4_stack *stack; if (!out) return -EINVAL; stack = malloc(sizeof(*stack)); if (!stack) return -ENOMEM; memset(stack, 0, sizeof(*stack)); gl_m4_identity(stack->stack.matrix); *out = stack; return 0; } void gl_m4_stack_free(struct gl_m4_stack *stack) { struct gl_m4_entry *tmp; if (!stack) return; while (stack->stack.next) { tmp = stack->stack.next; stack->stack.next = tmp->next; free(tmp); } while (stack->cache) { tmp = stack->cache; stack->cache = tmp->next; free(tmp); } free(stack); } float *gl_m4_stack_push(struct gl_m4_stack *stack) { struct gl_m4_entry *entry; if (stack->cache) { entry = stack->cache; stack->cache = entry->next; } else { entry = malloc(sizeof(*entry)); if (!entry) return NULL; } gl_m4_copy(entry->matrix, stack->stack.matrix); entry->next = stack->stack.next; stack->stack.next = entry; return stack->stack.matrix; } float *gl_m4_stack_pop(struct gl_m4_stack *stack) { struct gl_m4_entry *entry; if (!stack) return NULL; entry = stack->stack.next; if (!entry) { gl_m4_identity(stack->stack.matrix); return stack->stack.matrix; } stack->stack.next = entry->next; entry->next = stack->cache; stack->cache = entry; gl_m4_copy(stack->stack.matrix, entry->matrix); return stack->stack.matrix; } float *gl_m4_stack_tip(struct gl_m4_stack *stack) { if (!stack) return NULL; return stack->stack.matrix; }