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| /* | |
| Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho | |
| All rights reserved. | |
| Redistribution and use in source and binary forms, with or without modification, | |
| are permitted provided that the following conditions are met: | |
| Redistributions of source code must retain the above copyright notice, this list of | |
| conditions and the following disclaimer. Redistributions in binary form must reproduce | |
| the above copyright notice, this list of conditions and the following disclaimer | |
| in the documentation and/or other materials provided with the distribution. | |
| Neither the name of the Johns Hopkins University nor the names of its contributors | |
| may be used to endorse or promote products derived from this software without specific | |
| prior written permission. | |
| THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY | |
| EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES | |
| OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT | |
| SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | |
| INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED | |
| TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR | |
| BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | |
| CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | |
| ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH | |
| DAMAGE. | |
| */ | |
| template< int Degree > | |
| class StartingPolynomial | |
| { | |
| public: | |
| Polynomial< Degree > p; | |
| double start; | |
| template< int Degree2 > | |
| StartingPolynomial< Degree+Degree2 > operator * ( const StartingPolynomial< Degree2 >& p ) const; | |
| StartingPolynomial scale( double s ) const; | |
| StartingPolynomial shift( double t ) const; | |
| int operator < ( const StartingPolynomial& sp ) const; | |
| static int Compare( const void* v1 , const void* v2 ); | |
| }; | |
| template< int Degree > | |
| class PPolynomial | |
| { | |
| public: | |
| size_t polyCount; | |
| Pointer( StartingPolynomial< Degree > ) polys; | |
| PPolynomial( void ); | |
| PPolynomial( const PPolynomial<Degree>& p ); | |
| ~PPolynomial( void ); | |
| PPolynomial& operator = ( const PPolynomial& p ); | |
| int size( void ) const; | |
| void set( size_t size ); | |
| // Note: this method will sort the elements in sps | |
| void set( Pointer( StartingPolynomial<Degree> ) sps , int count ); | |
| void reset( size_t newSize ); | |
| PPolynomial& compress( double delta=0. ); | |
| double operator()( double t ) const; | |
| double integral( double tMin , double tMax ) const; | |
| double Integral( void ) const; | |
| template< int Degree2 > PPolynomial< Degree >& operator = ( const PPolynomial< Degree2 >& p ); | |
| PPolynomial operator + ( const PPolynomial& p ) const; | |
| PPolynomial operator - ( const PPolynomial& p ) const; | |
| template< int Degree2 > PPolynomial< Degree+Degree2 > operator * ( const Polynomial< Degree2 >& p ) const; | |
| template< int Degree2 > PPolynomial< Degree+Degree2 > operator * ( const PPolynomial< Degree2 >& p) const; | |
| PPolynomial& operator += ( double s ); | |
| PPolynomial& operator -= ( double s ); | |
| PPolynomial& operator *= ( double s ); | |
| PPolynomial& operator /= ( double s ); | |
| PPolynomial operator + ( double s ) const; | |
| PPolynomial operator - ( double s ) const; | |
| PPolynomial operator * ( double s ) const; | |
| PPolynomial operator / ( double s ) const; | |
| PPolynomial& addScaled( const PPolynomial& poly , double scale ); | |
| PPolynomial scale( double s ) const; | |
| PPolynomial shift( double t ) const; | |
| PPolynomial reflect( double r=0. ) const; | |
| PPolynomial< Degree-1 > derivative(void) const; | |
| PPolynomial< Degree+1 > integral(void) const; | |
| void getSolutions( double c , std::vector< double >& roots , double EPS , double min=-DBL_MAX , double max=DBL_MAX ) const; | |
| void printnl( void ) const; | |
| PPolynomial< Degree+1 > MovingAverage( double radius ) const; | |
| static PPolynomial BSpline( double radius=0.5 ); | |
| void write( FILE* fp , int samples , double min , double max ) const; | |
| }; | |