842 lines
15 KiB
C
842 lines
15 KiB
C
/*
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* ***** BEGIN GPL LICENSE BLOCK *****
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*
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* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
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* All rights reserved.
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*
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* The Original Code is: some of this file.
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*
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* ***** END GPL LICENSE BLOCK *****
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* */
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/** \file blender/blenlib/intern/math_vector_inline.c
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* \ingroup bli
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*/
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#ifndef __MATH_VECTOR_INLINE_C__
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#define __MATH_VECTOR_INLINE_C__
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#include "BLI_math.h"
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/********************************** Init *************************************/
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MINLINE void zero_v2(float r[2])
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{
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r[0] = 0.0f;
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r[1] = 0.0f;
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}
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MINLINE void zero_v3(float r[3])
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{
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r[0] = 0.0f;
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r[1] = 0.0f;
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r[2] = 0.0f;
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}
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MINLINE void zero_v4(float r[4])
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{
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r[0] = 0.0f;
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r[1] = 0.0f;
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r[2] = 0.0f;
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r[3] = 0.0f;
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}
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MINLINE void copy_v2_v2(float r[2], const float a[2])
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{
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r[0] = a[0];
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r[1] = a[1];
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}
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MINLINE void copy_v3_v3(float r[3], const float a[3])
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{
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r[0] = a[0];
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r[1] = a[1];
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r[2] = a[2];
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}
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MINLINE void copy_v4_v4(float r[4], const float a[4])
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{
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r[0] = a[0];
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r[1] = a[1];
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r[2] = a[2];
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r[3] = a[3];
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}
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MINLINE void copy_v2_fl(float r[2], float f)
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{
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r[0] = f;
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r[1] = f;
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}
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MINLINE void copy_v3_fl(float r[3], float f)
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{
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r[0] = f;
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r[1] = f;
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r[2] = f;
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}
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MINLINE void copy_v4_fl(float r[4], float f)
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{
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r[0] = f;
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r[1] = f;
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r[2] = f;
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r[3] = f;
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}
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/* short */
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MINLINE void copy_v2_v2_char(char r[2], const char a[2])
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{
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r[0] = a[0];
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r[1] = a[1];
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}
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MINLINE void copy_v3_v3_char(char r[3], const char a[3])
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{
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r[0] = a[0];
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r[1] = a[1];
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r[2] = a[2];
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}
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MINLINE void copy_v4_v4_char(char r[4], const char a[4])
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{
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r[0] = a[0];
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r[1] = a[1];
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r[2] = a[2];
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r[3] = a[3];
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}
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/* short */
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MINLINE void zero_v3_int(int r[3])
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{
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r[0] = 0;
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r[1] = 0;
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r[2] = 0;
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}
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MINLINE void copy_v2_v2_short(short r[2], const short a[2])
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{
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r[0] = a[0];
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r[1] = a[1];
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}
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MINLINE void copy_v3_v3_short(short r[3], const short a[3])
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{
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r[0] = a[0];
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r[1] = a[1];
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r[2] = a[2];
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}
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MINLINE void copy_v4_v4_short(short r[4], const short a[4])
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{
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r[0] = a[0];
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r[1] = a[1];
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r[2] = a[2];
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r[3] = a[3];
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}
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/* int */
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MINLINE void copy_v2_v2_int(int r[2], const int a[2])
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{
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r[0] = a[0];
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r[1] = a[1];
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}
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MINLINE void copy_v3_v3_int(int r[3], const int a[3])
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{
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r[0] = a[0];
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r[1] = a[1];
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r[2] = a[2];
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}
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MINLINE void copy_v4_v4_int(int r[4], const int a[4])
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{
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r[0] = a[0];
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r[1] = a[1];
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r[2] = a[2];
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r[3] = a[3];
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}
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/* double -> float */
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MINLINE void copy_v2fl_v2db(float r[2], const double a[2])
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{
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r[0] = (float)a[0];
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r[1] = (float)a[1];
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}
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MINLINE void copy_v3fl_v3db(float r[3], const double a[3])
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{
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r[0] = (float)a[0];
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r[1] = (float)a[1];
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r[2] = (float)a[2];
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}
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MINLINE void copy_v4fl_v4db(float r[4], const double a[4])
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{
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r[0] = (float)a[0];
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r[1] = (float)a[1];
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r[2] = (float)a[2];
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r[3] = (float)a[3];
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}
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/* float -> double */
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MINLINE void copy_v2db_v2fl(double r[2], const float a[2])
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{
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r[0] = (double)a[0];
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r[1] = (double)a[1];
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}
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MINLINE void copy_v3db_v3fl(double r[3], const float a[3])
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{
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r[0] = (double)a[0];
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r[1] = (double)a[1];
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r[2] = (double)a[2];
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}
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MINLINE void copy_v4db_v4fl(double r[4], const float a[4])
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{
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r[0] = (double)a[0];
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r[1] = (double)a[1];
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r[2] = (double)a[2];
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r[3] = (double)a[3];
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}
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MINLINE void swap_v2_v2(float a[2], float b[2])
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{
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SWAP(float, a[0], b[0]);
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SWAP(float, a[1], b[1]);
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}
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MINLINE void swap_v3_v3(float a[3], float b[3])
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{
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SWAP(float, a[0], b[0]);
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SWAP(float, a[1], b[1]);
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SWAP(float, a[2], b[2]);
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}
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MINLINE void swap_v4_v4(float a[4], float b[4])
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{
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SWAP(float, a[0], b[0]);
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SWAP(float, a[1], b[1]);
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SWAP(float, a[2], b[2]);
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SWAP(float, a[3], b[3]);
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}
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/********************************* Arithmetic ********************************/
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MINLINE void add_v2_fl(float r[2], float f)
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{
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r[0] += f;
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r[1] += f;
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}
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MINLINE void add_v3_fl(float r[3], float f)
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{
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r[0] += f;
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r[1] += f;
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r[2] += f;
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}
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MINLINE void add_v4_fl(float r[4], float f)
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{
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r[0] += f;
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r[1] += f;
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r[2] += f;
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r[3] += f;
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}
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MINLINE void add_v2_v2(float r[2], const float a[2])
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{
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r[0] += a[0];
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r[1] += a[1];
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}
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MINLINE void add_v2_v2v2(float r[2], const float a[2], const float b[2])
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{
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r[0] = a[0] + b[0];
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r[1] = a[1] + b[1];
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}
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MINLINE void add_v2_v2v2_int(int r[2], const int a[2], const int b[2])
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{
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r[0] = a[0] + b[0];
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r[1] = a[1] + b[1];
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}
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MINLINE void add_v3_v3(float r[3], const float a[3])
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{
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r[0] += a[0];
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r[1] += a[1];
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r[2] += a[2];
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}
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MINLINE void add_v3_v3v3(float r[3], const float a[3], const float b[3])
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{
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r[0] = a[0] + b[0];
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r[1] = a[1] + b[1];
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r[2] = a[2] + b[2];
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}
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MINLINE void add_v4_v4(float r[4], const float a[4])
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{
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r[0] += a[0];
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r[1] += a[1];
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r[2] += a[2];
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r[3] += a[3];
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}
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MINLINE void add_v4_v4v4(float r[4], const float a[4], const float b[4])
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{
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r[0] = a[0] + b[0];
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r[1] = a[1] + b[1];
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r[2] = a[2] + b[2];
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r[3] = a[3] + b[3];
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}
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MINLINE void sub_v2_v2(float r[2], const float a[2])
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{
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r[0] -= a[0];
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r[1] -= a[1];
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}
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MINLINE void sub_v2_v2v2(float r[2], const float a[2], const float b[2])
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{
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r[0] = a[0] - b[0];
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r[1] = a[1] - b[1];
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}
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MINLINE void sub_v2_v2v2_int(int r[2], const int a[2], const int b[2])
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{
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r[0] = a[0] - b[0];
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r[1] = a[1] - b[1];
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}
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MINLINE void sub_v3_v3(float r[3], const float a[3])
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{
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r[0] -= a[0];
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r[1] -= a[1];
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r[2] -= a[2];
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}
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MINLINE void sub_v3_v3v3(float r[3], const float a[3], const float b[3])
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{
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r[0] = a[0] - b[0];
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r[1] = a[1] - b[1];
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r[2] = a[2] - b[2];
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}
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MINLINE void sub_v4_v4(float r[4], const float a[4])
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{
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r[0] -= a[0];
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r[1] -= a[1];
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r[2] -= a[2];
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r[3] -= a[3];
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}
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MINLINE void sub_v4_v4v4(float r[4], const float a[4], const float b[4])
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{
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r[0] = a[0] - b[0];
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r[1] = a[1] - b[1];
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r[2] = a[2] - b[2];
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r[3] = a[3] - b[3];
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}
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MINLINE void mul_v2_fl(float r[2], float f)
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{
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r[0] *= f;
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r[1] *= f;
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}
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MINLINE void mul_v2_v2fl(float r[2], const float a[2], float f)
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{
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r[0] = a[0] * f;
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r[1] = a[1] * f;
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}
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MINLINE void mul_v3_fl(float r[3], float f)
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{
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r[0] *= f;
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r[1] *= f;
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r[2] *= f;
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}
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MINLINE void mul_v3_v3fl(float r[3], const float a[3], float f)
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{
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r[0] = a[0] * f;
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r[1] = a[1] * f;
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r[2] = a[2] * f;
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}
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MINLINE void mul_v2_v2(float r[2], const float a[2])
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{
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r[0] *= a[0];
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r[1] *= a[1];
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}
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MINLINE void mul_v3_v3(float r[3], const float a[3])
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{
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r[0] *= a[0];
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r[1] *= a[1];
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r[2] *= a[2];
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}
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MINLINE void mul_v4_fl(float r[4], float f)
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{
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r[0] *= f;
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r[1] *= f;
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r[2] *= f;
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r[3] *= f;
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}
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MINLINE void mul_v4_v4fl(float r[4], const float a[4], float f)
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{
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r[0] = a[0] * f;
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r[1] = a[1] * f;
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r[2] = a[2] * f;
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r[3] = a[3] * f;
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}
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/* note: could add a matrix inline */
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MINLINE float mul_project_m4_v3_zfac(float mat[4][4], const float co[3])
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{
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return (mat[0][3] * co[0]) +
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(mat[1][3] * co[1]) +
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(mat[2][3] * co[2]) + mat[3][3];
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}
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MINLINE void madd_v2_v2fl(float r[2], const float a[2], float f)
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{
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r[0] += a[0] * f;
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r[1] += a[1] * f;
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}
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MINLINE void madd_v3_v3fl(float r[3], const float a[3], float f)
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{
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r[0] += a[0] * f;
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r[1] += a[1] * f;
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r[2] += a[2] * f;
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}
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MINLINE void madd_v3_v3v3(float r[3], const float a[3], const float b[3])
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{
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r[0] += a[0] * b[0];
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r[1] += a[1] * b[1];
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r[2] += a[2] * b[2];
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}
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MINLINE void madd_v2_v2v2fl(float r[2], const float a[2], const float b[2], float f)
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{
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r[0] = a[0] + b[0] * f;
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r[1] = a[1] + b[1] * f;
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}
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MINLINE void madd_v3_v3v3fl(float r[3], const float a[3], const float b[3], float f)
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{
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r[0] = a[0] + b[0] * f;
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r[1] = a[1] + b[1] * f;
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r[2] = a[2] + b[2] * f;
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}
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MINLINE void madd_v3_v3v3v3(float r[3], const float a[3], const float b[3], const float c[3])
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{
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r[0] = a[0] + b[0] * c[0];
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r[1] = a[1] + b[1] * c[1];
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r[2] = a[2] + b[2] * c[2];
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}
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MINLINE void madd_v4_v4fl(float r[4], const float a[4], float f)
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{
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r[0] += a[0] * f;
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r[1] += a[1] * f;
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r[2] += a[2] * f;
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r[3] += a[3] * f;
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}
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MINLINE void madd_v4_v4v4(float r[4], const float a[4], const float b[4])
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{
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r[0] += a[0] * b[0];
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r[1] += a[1] * b[1];
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r[2] += a[2] * b[2];
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r[3] += a[3] * b[3];
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}
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MINLINE void mul_v3_v3v3(float r[3], const float v1[3], const float v2[3])
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{
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r[0] = v1[0] * v2[0];
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r[1] = v1[1] * v2[1];
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r[2] = v1[2] * v2[2];
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}
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MINLINE void negate_v2(float r[2])
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{
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r[0] = -r[0];
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r[1] = -r[1];
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}
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MINLINE void negate_v2_v2(float r[2], const float a[2])
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{
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r[0] = -a[0];
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r[1] = -a[1];
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}
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MINLINE void negate_v3(float r[3])
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{
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r[0] = -r[0];
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r[1] = -r[1];
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r[2] = -r[2];
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}
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MINLINE void negate_v3_v3(float r[3], const float a[3])
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{
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r[0] = -a[0];
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r[1] = -a[1];
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r[2] = -a[2];
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}
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MINLINE void negate_v4(float r[4])
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{
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r[0] = -r[0];
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r[1] = -r[1];
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r[2] = -r[2];
|
|
r[3] = -r[3];
|
|
}
|
|
|
|
MINLINE void negate_v4_v4(float r[4], const float a[4])
|
|
{
|
|
r[0] = -a[0];
|
|
r[1] = -a[1];
|
|
r[2] = -a[2];
|
|
r[3] = -a[3];
|
|
}
|
|
|
|
/* could add more... */
|
|
MINLINE void negate_v3_short(short r[3])
|
|
{
|
|
r[0] = -r[0];
|
|
r[1] = -r[1];
|
|
r[2] = -r[2];
|
|
}
|
|
|
|
MINLINE float dot_v2v2(const float a[2], const float b[2])
|
|
{
|
|
return a[0] * b[0] + a[1] * b[1];
|
|
}
|
|
|
|
MINLINE float dot_v3v3(const float a[3], const float b[3])
|
|
{
|
|
return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
|
|
}
|
|
|
|
MINLINE float cross_v2v2(const float a[2], const float b[2])
|
|
{
|
|
return a[0] * b[1] - a[1] * b[0];
|
|
}
|
|
|
|
MINLINE void cross_v3_v3v3(float r[3], const float a[3], const float b[3])
|
|
{
|
|
BLI_assert(r != a && r != b);
|
|
r[0] = a[1] * b[2] - a[2] * b[1];
|
|
r[1] = a[2] * b[0] - a[0] * b[2];
|
|
r[2] = a[0] * b[1] - a[1] * b[0];
|
|
}
|
|
|
|
/* Newell's Method */
|
|
/* excuse this fairly specific function,
|
|
* its used for polygon normals all over the place
|
|
* could use a better name */
|
|
MINLINE void add_newell_cross_v3_v3v3(float n[3], const float v_prev[3], const float v_curr[3])
|
|
{
|
|
n[0] += (v_prev[1] - v_curr[1]) * (v_prev[2] + v_curr[2]);
|
|
n[1] += (v_prev[2] - v_curr[2]) * (v_prev[0] + v_curr[0]);
|
|
n[2] += (v_prev[0] - v_curr[0]) * (v_prev[1] + v_curr[1]);
|
|
}
|
|
|
|
MINLINE void star_m3_v3(float rmat[3][3], float a[3])
|
|
{
|
|
rmat[0][0] = rmat[1][1] = rmat[2][2] = 0.0;
|
|
rmat[0][1] = -a[2];
|
|
rmat[0][2] = a[1];
|
|
rmat[1][0] = a[2];
|
|
rmat[1][2] = -a[0];
|
|
rmat[2][0] = -a[1];
|
|
rmat[2][1] = a[0];
|
|
}
|
|
|
|
/*********************************** Length **********************************/
|
|
|
|
MINLINE float len_squared_v2(const float v[2])
|
|
{
|
|
return v[0] * v[0] + v[1] * v[1];
|
|
}
|
|
|
|
MINLINE float len_squared_v3(const float v[3])
|
|
{
|
|
return v[0] * v[0] + v[1] * v[1] + v[2] * v[2];
|
|
}
|
|
|
|
MINLINE float len_manhattan_v2(const float v[2])
|
|
{
|
|
return fabsf(v[0]) + fabsf(v[1]);
|
|
}
|
|
|
|
MINLINE float len_manhattan_v2_int(const int v[2])
|
|
{
|
|
return ABS(v[0]) + ABS(v[1]);
|
|
}
|
|
|
|
MINLINE float len_manhattan_v3(const float v[3])
|
|
{
|
|
return fabsf(v[0]) + fabsf(v[1]) + fabsf(v[2]);
|
|
}
|
|
|
|
MINLINE float len_v2(const float v[2])
|
|
{
|
|
return sqrtf(v[0] * v[0] + v[1] * v[1]);
|
|
}
|
|
|
|
MINLINE float len_v2v2(const float v1[2], const float v2[2])
|
|
{
|
|
float x, y;
|
|
|
|
x = v1[0] - v2[0];
|
|
y = v1[1] - v2[1];
|
|
return sqrtf(x * x + y * y);
|
|
}
|
|
|
|
MINLINE float len_v3(const float a[3])
|
|
{
|
|
return sqrtf(dot_v3v3(a, a));
|
|
}
|
|
|
|
MINLINE float len_squared_v2v2(const float a[2], const float b[2])
|
|
{
|
|
float d[2];
|
|
|
|
sub_v2_v2v2(d, b, a);
|
|
return dot_v2v2(d, d);
|
|
}
|
|
|
|
MINLINE float len_squared_v3v3(const float a[3], const float b[3])
|
|
{
|
|
float d[3];
|
|
|
|
sub_v3_v3v3(d, b, a);
|
|
return dot_v3v3(d, d);
|
|
}
|
|
|
|
MINLINE float len_manhattan_v2v2(const float a[2], const float b[2])
|
|
{
|
|
float d[2];
|
|
|
|
sub_v2_v2v2(d, b, a);
|
|
return len_manhattan_v2(d);
|
|
}
|
|
|
|
MINLINE float len_manhattan_v2v2_int(const int a[2], const int b[2])
|
|
{
|
|
int d[2];
|
|
|
|
sub_v2_v2v2_int(d, b, a);
|
|
return len_manhattan_v2_int(d);
|
|
}
|
|
|
|
MINLINE float len_manhattan_v3v3(const float a[3], const float b[3])
|
|
{
|
|
float d[3];
|
|
|
|
sub_v3_v3v3(d, b, a);
|
|
return len_manhattan_v3(d);
|
|
}
|
|
|
|
MINLINE float len_v3v3(const float a[3], const float b[3])
|
|
{
|
|
float d[3];
|
|
|
|
sub_v3_v3v3(d, b, a);
|
|
return len_v3(d);
|
|
}
|
|
|
|
MINLINE float normalize_v2_v2(float r[2], const float a[2])
|
|
{
|
|
float d = dot_v2v2(a, a);
|
|
|
|
if (d > 1.0e-35f) {
|
|
d = sqrtf(d);
|
|
mul_v2_v2fl(r, a, 1.0f / d);
|
|
}
|
|
else {
|
|
zero_v2(r);
|
|
d = 0.0f;
|
|
}
|
|
|
|
return d;
|
|
}
|
|
|
|
MINLINE float normalize_v2(float n[2])
|
|
{
|
|
return normalize_v2_v2(n, n);
|
|
}
|
|
|
|
MINLINE float normalize_v3_v3(float r[3], const float a[3])
|
|
{
|
|
float d = dot_v3v3(a, a);
|
|
|
|
/* a larger value causes normalize errors in a
|
|
* scaled down models with camera extreme close */
|
|
if (d > 1.0e-35f) {
|
|
d = sqrtf(d);
|
|
mul_v3_v3fl(r, a, 1.0f / d);
|
|
}
|
|
else {
|
|
zero_v3(r);
|
|
d = 0.0f;
|
|
}
|
|
|
|
return d;
|
|
}
|
|
|
|
MINLINE double normalize_v3_d(double n[3])
|
|
{
|
|
double d = n[0] * n[0] + n[1] * n[1] + n[2] * n[2];
|
|
|
|
/* a larger value causes normalize errors in a
|
|
* scaled down models with camera extreme close */
|
|
if (d > 1.0e-35) {
|
|
double mul;
|
|
|
|
d = sqrt(d);
|
|
mul = 1.0 / d;
|
|
|
|
n[0] *= mul;
|
|
n[1] *= mul;
|
|
n[2] *= mul;
|
|
}
|
|
else {
|
|
n[0] = n[1] = n[2] = 0;
|
|
d = 0.0;
|
|
}
|
|
|
|
return d;
|
|
}
|
|
|
|
MINLINE float normalize_v3(float n[3])
|
|
{
|
|
return normalize_v3_v3(n, n);
|
|
}
|
|
|
|
MINLINE void normal_short_to_float_v3(float out[3], const short in[3])
|
|
{
|
|
out[0] = in[0] * (1.0f / 32767.0f);
|
|
out[1] = in[1] * (1.0f / 32767.0f);
|
|
out[2] = in[2] * (1.0f / 32767.0f);
|
|
}
|
|
|
|
MINLINE void normal_float_to_short_v3(short out[3], const float in[3])
|
|
{
|
|
out[0] = (short) (in[0] * 32767.0f);
|
|
out[1] = (short) (in[1] * 32767.0f);
|
|
out[2] = (short) (in[2] * 32767.0f);
|
|
}
|
|
|
|
/********************************* Comparison ********************************/
|
|
|
|
|
|
MINLINE int is_zero_v2(const float v[2])
|
|
{
|
|
return (v[0] == 0 && v[1] == 0);
|
|
}
|
|
|
|
MINLINE int is_zero_v3(const float v[3])
|
|
{
|
|
return (v[0] == 0 && v[1] == 0 && v[2] == 0);
|
|
}
|
|
|
|
MINLINE int is_zero_v4(const float v[4])
|
|
{
|
|
return (v[0] == 0 && v[1] == 0 && v[2] == 0 && v[3] == 0);
|
|
}
|
|
|
|
MINLINE int is_one_v3(const float v[3])
|
|
{
|
|
return (v[0] == 1 && v[1] == 1 && v[2] == 1);
|
|
}
|
|
|
|
MINLINE int equals_v2v2(const float v1[2], const float v2[2])
|
|
{
|
|
return ((v1[0] == v2[0]) && (v1[1] == v2[1]));
|
|
}
|
|
|
|
MINLINE int equals_v3v3(const float v1[3], const float v2[3])
|
|
{
|
|
return ((v1[0] == v2[0]) && (v1[1] == v2[1]) && (v1[2] == v2[2]));
|
|
}
|
|
|
|
MINLINE int equals_v4v4(const float v1[4], const float v2[4])
|
|
{
|
|
return ((v1[0] == v2[0]) && (v1[1] == v2[1]) && (v1[2] == v2[2]) && (v1[3] == v2[3]));
|
|
}
|
|
|
|
MINLINE int compare_v2v2(const float v1[2], const float v2[2], const float limit)
|
|
{
|
|
if (fabsf(v1[0] - v2[0]) < limit)
|
|
if (fabsf(v1[1] - v2[1]) < limit)
|
|
return 1;
|
|
|
|
return 0;
|
|
}
|
|
|
|
MINLINE int compare_v3v3(const float v1[3], const float v2[3], const float limit)
|
|
{
|
|
if (fabsf(v1[0] - v2[0]) < limit)
|
|
if (fabsf(v1[1] - v2[1]) < limit)
|
|
if (fabsf(v1[2] - v2[2]) < limit)
|
|
return 1;
|
|
|
|
return 0;
|
|
}
|
|
|
|
MINLINE int compare_len_v3v3(const float v1[3], const float v2[3], const float limit)
|
|
{
|
|
float x, y, z;
|
|
|
|
x = v1[0] - v2[0];
|
|
y = v1[1] - v2[1];
|
|
z = v1[2] - v2[2];
|
|
|
|
return ((x * x + y * y + z * z) < (limit * limit));
|
|
}
|
|
|
|
MINLINE int compare_v4v4(const float v1[4], const float v2[4], const float limit)
|
|
{
|
|
if (fabsf(v1[0] - v2[0]) < limit)
|
|
if (fabsf(v1[1] - v2[1]) < limit)
|
|
if (fabsf(v1[2] - v2[2]) < limit)
|
|
if (fabsf(v1[3] - v2[3]) < limit)
|
|
return 1;
|
|
|
|
return 0;
|
|
}
|
|
|
|
MINLINE float line_point_side_v2(const float l1[2], const float l2[2], const float pt[2])
|
|
{
|
|
return (((l1[0] - pt[0]) * (l2[1] - pt[1])) -
|
|
((l2[0] - pt[0]) * (l1[1] - pt[1])));
|
|
}
|
|
|
|
#endif /* __MATH_VECTOR_INLINE_C__ */
|