math_vector_inline.c

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/*
 * ***** BEGIN GPL LICENSE BLOCK *****
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program 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 General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 *
 * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
 * All rights reserved.
 
 * The Original Code is: some of this file.
 *
 * ***** END GPL LICENSE BLOCK *****
 * */

#include "BLI_math.h"

#ifndef BLI_MATH_VECTOR_INLINE_H
#define BLI_MATH_VECTOR_INLINE_H

/********************************** Init *************************************/

MINLINE void zero_v2(float r[2])
{
    r[0]= 0.0f;
    r[1]= 0.0f;
}

MINLINE void zero_v3(float r[3])
{
    r[0]= 0.0f;
    r[1]= 0.0f;
    r[2]= 0.0f;
}

MINLINE void zero_v4(float r[4])
{
    r[0]= 0.0f;
    r[1]= 0.0f;
    r[2]= 0.0f;
    r[3]= 0.0f;
}

MINLINE void copy_v2_v2(float r[2], const float a[2])
{
    r[0]= a[0];
    r[1]= a[1];
}

MINLINE void copy_v3_v3(float r[3], const float a[3])
{
    r[0]= a[0];
    r[1]= a[1];
    r[2]= a[2];
}

MINLINE void copy_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];
}

/* short */
MINLINE void copy_v2_v2_char(char r[2], const char a[2])
{
    r[0]= a[0];
    r[1]= a[1];
}

MINLINE void copy_v3_v3_char(char r[3], const char a[3])
{
    r[0]= a[0];
    r[1]= a[1];
    r[2]= a[2];
}

MINLINE void copy_v4_v4_char(char r[4], const char a[4])
{
    r[0]= a[0];
    r[1]= a[1];
    r[2]= a[2];
    r[3]= a[3];
}

/* short */
MINLINE void copy_v2_v2_short(short r[2], const short a[2])
{
    r[0]= a[0];
    r[1]= a[1];
}

MINLINE void copy_v3_v3_short(short r[3], const short a[3])
{
    r[0]= a[0];
    r[1]= a[1];
    r[2]= a[2];
}

MINLINE void copy_v4_v4_short(short r[4], const short a[4])
{
    r[0]= a[0];
    r[1]= a[1];
    r[2]= a[2];
    r[3]= a[3];
}

/* int */
MINLINE void copy_v2_v2_int(int r[2], const int a[2])
{
    r[0]= a[0];
    r[1]= a[1];
}

MINLINE void copy_v3_v3_int(int r[3], const int a[3])
{
    r[0]= a[0];
    r[1]= a[1];
    r[2]= a[2];
}

MINLINE void copy_v4_v4_int(int r[4], const int a[4])
{
    r[0]= a[0];
    r[1]= a[1];
    r[2]= a[2];
    r[3]= a[3];
}

MINLINE void swap_v2_v2(float a[2], float b[2])
{
    SWAP(float, a[0], b[0]);
    SWAP(float, a[1], b[1]);
}

MINLINE void swap_v3_v3(float a[3], float b[3])
{
    SWAP(float, a[0], b[0]);
    SWAP(float, a[1], b[1]);
    SWAP(float, a[2], b[2]);
}

MINLINE void swap_v4_v4(float a[4], float b[4])
{
    SWAP(float, a[0], b[0]);
    SWAP(float, a[1], b[1]);
    SWAP(float, a[2], b[2]);
    SWAP(float, a[3], b[3]);
}

/********************************* Arithmetic ********************************/

MINLINE void add_v3_fl(float r[3], float f)
{
    r[0] += f;
    r[1] += f;
    r[2] += f;
}

MINLINE void add_v4_fl(float r[4], float f)
{
    r[0] += f;
    r[1] += f;
    r[2] += f;
    r[3] += f;
}

MINLINE void add_v2_v2(float r[2], const float a[2])
{
    r[0] += a[0];
    r[1] += a[1];
}

MINLINE void add_v2_v2v2(float r[2], const float a[2], const float b[2])
{
    r[0]= a[0] + b[0];
    r[1]= a[1] + b[1];
}

MINLINE void add_v3_v3(float r[3], const float a[3])
{
    r[0] += a[0];
    r[1] += a[1];
    r[2] += a[2];
}

MINLINE void add_v3_v3v3(float r[3], const float a[3], const float b[3])
{
    r[0]= a[0] + b[0];
    r[1]= a[1] + b[1];
    r[2]= a[2] + b[2];
}

MINLINE void sub_v2_v2(float r[2], const float a[2])
{
    r[0] -= a[0];
    r[1] -= a[1];
}

MINLINE void sub_v2_v2v2(float r[2], const float a[2], const float b[2])
{
    r[0]= a[0] - b[0];
    r[1]= a[1] - b[1];
}

MINLINE void sub_v3_v3(float r[3], const float a[3])
{
    r[0] -= a[0];
    r[1] -= a[1];
    r[2] -= a[2];
}

MINLINE void sub_v3_v3v3(float r[3], const float a[3], const float b[3])
{
    r[0]= a[0] - b[0];
    r[1]= a[1] - b[1];
    r[2]= a[2] - b[2];
}

MINLINE void sub_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];
}

MINLINE void sub_v4_v4v4(float r[4], const float a[4], const float b[4])
{
    r[0]= a[0] - b[0];
    r[1]= a[1] - b[1];
    r[2]= a[2] - b[2];
    r[3]= a[3] - b[3];
}


MINLINE void mul_v2_fl(float r[2], float f)
{
    r[0]*= f;
    r[1]*= f;
}

MINLINE void mul_v2_v2fl(float r[2], const float a[2], float f)
{
    r[0]= a[0]*f;
    r[1]= a[1]*f;
}

MINLINE void mul_v3_fl(float r[3], float f)
{
    r[0] *= f;
    r[1] *= f;
    r[2] *= f;
}

MINLINE void mul_v3_v3fl(float r[3], const float a[3], float f)
{
    r[0]= a[0]*f;
    r[1]= a[1]*f;
    r[2]= a[2]*f;
}

MINLINE void mul_v2_v2(float r[2], const float a[2])
{
    r[0] *= a[0];
    r[1] *= a[1];
}

MINLINE void mul_v3_v3(float r[3], const float a[3])
{
    r[0] *= a[0];
    r[1] *= a[1];
    r[2] *= a[2];
}

MINLINE void mul_v4_fl(float r[4], float f)
{
    r[0]*= f;
    r[1]*= f;
    r[2]*= f;
    r[3]*= f;
}

MINLINE void madd_v2_v2fl(float r[2], const float a[2], float f)
{
    r[0] += a[0]*f;
    r[1] += a[1]*f;
}

MINLINE void madd_v3_v3fl(float r[3], const float a[3], float f)
{
    r[0] += a[0]*f;
    r[1] += a[1]*f;
    r[2] += a[2]*f;
}

MINLINE void madd_v3_v3v3(float r[3], const float a[3], const float b[3])
{
    r[0] += a[0]*b[0];
    r[1] += a[1]*b[1];
    r[2] += a[2]*b[2];
}

MINLINE void madd_v2_v2v2fl(float r[2], const float a[2], const float b[2], float f)
{
    r[0] = a[0] + b[0]*f;
    r[1] = a[1] + b[1]*f;
}

MINLINE void madd_v3_v3v3fl(float r[3], const float a[3], const float b[3], float f)
{
    r[0] = a[0] + b[0]*f;
    r[1] = a[1] + b[1]*f;
    r[2] = a[2] + b[2]*f;
}

MINLINE void madd_v3_v3v3v3(float r[3], const float a[3], const float b[3], const float c[3])
{
    r[0] = a[0] + b[0]*c[0];
    r[1] = a[1] + b[1]*c[1];
    r[2] = a[2] + b[2]*c[2];
}

MINLINE void madd_v4_v4fl(float r[4], const float a[4], float f)
{
    r[0] += a[0]*f;
    r[1] += a[1]*f;
    r[2] += a[2]*f;
    r[3] += a[3]*f;
}

MINLINE void mul_v3_v3v3(float r[3], const float v1[3], const float v2[3])
{
    r[0] = v1[0] * v2[0];
    r[1] = v1[1] * v2[1];
    r[2] = v1[2] * v2[2];
}

MINLINE void negate_v2(float r[3])
{
    r[0]= -r[0];
    r[1]= -r[1];
}

MINLINE void negate_v2_v2(float r[2], const float a[2])
{
    r[0]= -a[0];
    r[1]= -a[1];
}

MINLINE void negate_v3(float r[3])
{
    r[0]= -r[0];
    r[1]= -r[1];
    r[2]= -r[2];
}

MINLINE void negate_v3_v3(float r[3], const float a[3])
{
    r[0]= -a[0];
    r[1]= -a[1];
    r[2]= -a[2];
}

MINLINE void negate_v4(float r[4])
{
    r[0]= -r[0];
    r[1]= -r[1];
    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];
}

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])
{
    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];
}

MINLINE void star_m3_v3(float rmat[][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_v2(const float v[2])
{
    return (float)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 (float)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[3], const float b[3])
{
    float d[2];

    sub_v2_v2v2(d, b, a);
    return dot_v2v2(d, 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 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 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 xtreme 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 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_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_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 /* BLI_MATH_VECTOR_INLINE_H */