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348 lines
9.3 KiB
C++
348 lines
9.3 KiB
C++
/*
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===========================================================================
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Doom 3 GPL Source Code
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Copyright (C) 1999-2011 id Software LLC, a ZeniMax Media company.
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This file is part of the Doom 3 GPL Source Code ("Doom 3 Source Code").
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Doom 3 Source Code is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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Doom 3 Source Code 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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You should have received a copy of the GNU General Public License
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along with Doom 3 Source Code. If not, see <http://www.gnu.org/licenses/>.
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In addition, the Doom 3 Source Code is also subject to certain additional terms. You should have received a copy of these additional terms immediately following the terms and conditions of the GNU General Public License which accompanied the Doom 3 Source Code. If not, please request a copy in writing from id Software at the address below.
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If you have questions concerning this license or the applicable additional terms, you may contact in writing id Software LLC, c/o ZeniMax Media Inc., Suite 120, Rockville, Maryland 20850 USA.
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===========================================================================
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*/
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#ifndef __MATH_COMPLEX_H__
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#define __MATH_COMPLEX_H__
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/*
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===============================================================================
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Complex number
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===============================================================================
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*/
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class idComplex {
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public:
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float r; // real part
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float i; // imaginary part
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idComplex( void );
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idComplex( const float r, const float i );
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void Set( const float r, const float i );
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void Zero( void );
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float operator[]( int index ) const;
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float & operator[]( int index );
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idComplex operator-() const;
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idComplex & operator=( const idComplex &a );
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idComplex operator*( const idComplex &a ) const;
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idComplex operator/( const idComplex &a ) const;
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idComplex operator+( const idComplex &a ) const;
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idComplex operator-( const idComplex &a ) const;
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idComplex & operator*=( const idComplex &a );
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idComplex & operator/=( const idComplex &a );
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idComplex & operator+=( const idComplex &a );
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idComplex & operator-=( const idComplex &a );
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idComplex operator*( const float a ) const;
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idComplex operator/( const float a ) const;
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idComplex operator+( const float a ) const;
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idComplex operator-( const float a ) const;
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idComplex & operator*=( const float a );
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idComplex & operator/=( const float a );
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idComplex & operator+=( const float a );
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idComplex & operator-=( const float a );
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friend idComplex operator*( const float a, const idComplex &b );
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friend idComplex operator/( const float a, const idComplex &b );
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friend idComplex operator+( const float a, const idComplex &b );
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friend idComplex operator-( const float a, const idComplex &b );
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bool Compare( const idComplex &a ) const; // exact compare, no epsilon
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bool Compare( const idComplex &a, const float epsilon ) const; // compare with epsilon
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bool operator==( const idComplex &a ) const; // exact compare, no epsilon
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bool operator!=( const idComplex &a ) const; // exact compare, no epsilon
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idComplex Reciprocal( void ) const;
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idComplex Sqrt( void ) const;
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float Abs( void ) const;
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int GetDimension( void ) const;
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const float * ToFloatPtr( void ) const;
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float * ToFloatPtr( void );
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const char * ToString( int precision = 2 ) const;
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};
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extern idComplex complex_origin;
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#define complex_zero complex_origin
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ID_INLINE idComplex::idComplex( void ) {
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}
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ID_INLINE idComplex::idComplex( const float r, const float i ) {
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this->r = r;
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this->i = i;
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}
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ID_INLINE void idComplex::Set( const float r, const float i ) {
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this->r = r;
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this->i = i;
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}
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ID_INLINE void idComplex::Zero( void ) {
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r = i = 0.0f;
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}
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ID_INLINE float idComplex::operator[]( int index ) const {
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assert( index >= 0 && index < 2 );
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return ( &r )[ index ];
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}
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ID_INLINE float& idComplex::operator[]( int index ) {
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assert( index >= 0 && index < 2 );
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return ( &r )[ index ];
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}
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ID_INLINE idComplex idComplex::operator-() const {
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return idComplex( -r, -i );
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}
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ID_INLINE idComplex &idComplex::operator=( const idComplex &a ) {
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r = a.r;
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i = a.i;
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return *this;
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}
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ID_INLINE idComplex idComplex::operator*( const idComplex &a ) const {
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return idComplex( r * a.r - i * a.i, i * a.r + r * a.i );
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}
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ID_INLINE idComplex idComplex::operator/( const idComplex &a ) const {
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float s, t;
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if ( idMath::Fabs( a.r ) >= idMath::Fabs( a.i ) ) {
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s = a.i / a.r;
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t = 1.0f / ( a.r + s * a.i );
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return idComplex( ( r + s * i ) * t, ( i - s * r ) * t );
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} else {
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s = a.r / a.i;
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t = 1.0f / ( s * a.r + a.i );
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return idComplex( ( r * s + i ) * t, ( i * s - r ) * t );
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}
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}
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ID_INLINE idComplex idComplex::operator+( const idComplex &a ) const {
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return idComplex( r + a.r, i + a.i );
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}
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ID_INLINE idComplex idComplex::operator-( const idComplex &a ) const {
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return idComplex( r - a.r, i - a.i );
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}
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ID_INLINE idComplex &idComplex::operator*=( const idComplex &a ) {
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*this = idComplex( r * a.r - i * a.i, i * a.r + r * a.i );
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return *this;
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}
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ID_INLINE idComplex &idComplex::operator/=( const idComplex &a ) {
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float s, t;
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if ( idMath::Fabs( a.r ) >= idMath::Fabs( a.i ) ) {
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s = a.i / a.r;
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t = 1.0f / ( a.r + s * a.i );
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*this = idComplex( ( r + s * i ) * t, ( i - s * r ) * t );
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} else {
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s = a.r / a.i;
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t = 1.0f / ( s * a.r + a.i );
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*this = idComplex( ( r * s + i ) * t, ( i * s - r ) * t );
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}
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return *this;
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}
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ID_INLINE idComplex &idComplex::operator+=( const idComplex &a ) {
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r += a.r;
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i += a.i;
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return *this;
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}
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ID_INLINE idComplex &idComplex::operator-=( const idComplex &a ) {
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r -= a.r;
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i -= a.i;
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return *this;
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}
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ID_INLINE idComplex idComplex::operator*( const float a ) const {
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return idComplex( r * a, i * a );
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}
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ID_INLINE idComplex idComplex::operator/( const float a ) const {
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float s = 1.0f / a;
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return idComplex( r * s, i * s );
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}
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ID_INLINE idComplex idComplex::operator+( const float a ) const {
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return idComplex( r + a, i );
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}
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ID_INLINE idComplex idComplex::operator-( const float a ) const {
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return idComplex( r - a, i );
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}
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ID_INLINE idComplex &idComplex::operator*=( const float a ) {
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r *= a;
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i *= a;
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return *this;
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}
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ID_INLINE idComplex &idComplex::operator/=( const float a ) {
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float s = 1.0f / a;
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r *= s;
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i *= s;
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return *this;
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}
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ID_INLINE idComplex &idComplex::operator+=( const float a ) {
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r += a;
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return *this;
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}
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ID_INLINE idComplex &idComplex::operator-=( const float a ) {
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r -= a;
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return *this;
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}
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ID_INLINE idComplex operator*( const float a, const idComplex &b ) {
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return idComplex( a * b.r, a * b.i );
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}
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ID_INLINE idComplex operator/( const float a, const idComplex &b ) {
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float s, t;
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if ( idMath::Fabs( b.r ) >= idMath::Fabs( b.i ) ) {
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s = b.i / b.r;
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t = a / ( b.r + s * b.i );
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return idComplex( t, - s * t );
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} else {
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s = b.r / b.i;
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t = a / ( s * b.r + b.i );
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return idComplex( s * t, - t );
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}
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}
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ID_INLINE idComplex operator+( const float a, const idComplex &b ) {
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return idComplex( a + b.r, b.i );
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}
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ID_INLINE idComplex operator-( const float a, const idComplex &b ) {
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return idComplex( a - b.r, -b.i );
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}
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ID_INLINE idComplex idComplex::Reciprocal( void ) const {
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float s, t;
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if ( idMath::Fabs( r ) >= idMath::Fabs( i ) ) {
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s = i / r;
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t = 1.0f / ( r + s * i );
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return idComplex( t, - s * t );
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} else {
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s = r / i;
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t = 1.0f / ( s * r + i );
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return idComplex( s * t, - t );
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}
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}
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ID_INLINE idComplex idComplex::Sqrt( void ) const {
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float x, y, w;
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if ( r == 0.0f && i == 0.0f ) {
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return idComplex( 0.0f, 0.0f );
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}
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x = idMath::Fabs( r );
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y = idMath::Fabs( i );
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if ( x >= y ) {
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w = y / x;
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w = idMath::Sqrt( x ) * idMath::Sqrt( 0.5f * ( 1.0f + idMath::Sqrt( 1.0f + w * w ) ) );
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} else {
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w = x / y;
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w = idMath::Sqrt( y ) * idMath::Sqrt( 0.5f * ( w + idMath::Sqrt( 1.0f + w * w ) ) );
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}
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if ( w == 0.0f ) {
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return idComplex( 0.0f, 0.0f );
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}
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if ( r >= 0.0f ) {
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return idComplex( w, 0.5f * i / w );
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} else {
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return idComplex( 0.5f * y / w, ( i >= 0.0f ) ? w : -w );
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}
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}
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ID_INLINE float idComplex::Abs( void ) const {
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float x, y, t;
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x = idMath::Fabs( r );
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y = idMath::Fabs( i );
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if ( x == 0.0f ) {
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return y;
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} else if ( y == 0.0f ) {
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return x;
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} else if ( x > y ) {
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t = y / x;
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return x * idMath::Sqrt( 1.0f + t * t );
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} else {
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t = x / y;
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return y * idMath::Sqrt( 1.0f + t * t );
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}
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}
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ID_INLINE bool idComplex::Compare( const idComplex &a ) const {
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return ( ( r == a.r ) && ( i == a.i ) );
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}
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ID_INLINE bool idComplex::Compare( const idComplex &a, const float epsilon ) const {
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if ( idMath::Fabs( r - a.r ) > epsilon ) {
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return false;
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}
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if ( idMath::Fabs( i - a.i ) > epsilon ) {
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return false;
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}
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return true;
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}
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ID_INLINE bool idComplex::operator==( const idComplex &a ) const {
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return Compare( a );
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}
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ID_INLINE bool idComplex::operator!=( const idComplex &a ) const {
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return !Compare( a );
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}
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ID_INLINE int idComplex::GetDimension( void ) const {
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return 2;
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}
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ID_INLINE const float *idComplex::ToFloatPtr( void ) const {
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return &r;
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}
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ID_INLINE float *idComplex::ToFloatPtr( void ) {
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return &r;
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}
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#endif /* !__MATH_COMPLEX_H__ */
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