ytBSpline.h

/*
  math/ytBSpline.{h,c} : B-spline routines.
  Copyright (C) 2018, Yoshinori Tamada <tamada A T ytlab.jp>
  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 Kyoto 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 HOLDER 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.
*/
 
#ifndef __YTLIB_BSPLINE_H
#define __YTLIB_BSPLINE_H
 
#include <stdio.h>
 
void ytBSpline_designMatrix(const double * x, const int n, 
                            const double xl, const double xr,
                            double * B, int * index,
                            const int ndx, const int degree, double * work);
void ytBSpline_designMatrix2(const double * x, const int n, double * B, int * index,
                            const int ndx, const int degree,  double * work);
void ytBSpline_Dk(const int m, const int k, double * D);
void ytBSpline_K(int m, int k, double * K, double * work);
double ytBSpline_det_K_plus(const double * K, const int m);
void ytBSpline_syBtB(const double * B, const int * index, const int n,
                     const int ndx, const int degree, double * BtB);
void ytBSpline_syBtB2(const double * B, const int * index, const int n,
                      const int ndx, const int degree, double * BtB);
void ytBSpline_dsycopy(const double * X, double * Y, int m);
void ytBSpline_dsycopy20(const double * X, double * Y);
void ytBSpline_syMBt(const double * restrict A,
                     const double * restrict B, const int* index,
                     const int n, const int ndx, const int degree, 
                     double * restrict C);
void ytBSpline_syMBt_D3(const double * restrict A,
                        const double * restrict B, const int * index,
                        const int n, const int ndx,
                        double * restrict C);
void ytBSpline_syMBt_D3_2(const double * restrict A,
                          const double * restrict B, const int * index,
                          const int n, const int ndx,
                          double * restrict C);
void ytBSpline_syMBt_D3_3(double * restrict A,
                          double * restrict B, const int * index,
                          const int n, const int ndx,
                          double * restrict C);
void ytBSpline_dxpy_mask(int n, double * x, const double * y, const char * mask);
void ytBSpline_dxmy_mask(int n, double * x, const double * y, const char * mask);
void ytBSpline_Mv(int n, int m, const double * A, const double * b, double * c);
void ytBSpline_Mv20(int n, const double * A, const double * b, double * c);
void ytBSpline_Mv20_mask(int n, const double * A, const double * b, double * c, const char * mask);
void ytBSpline_Bx3(const double * restrict B, const int * index,
                   const double * x, const int n, double * restrict y);
double ytBSpline_var_mask(int n, const double * T, const double * g, 
                          const char * mask);
double ytBSpline_gKgL(int M, const double * K, const double * g);
double ytBSpline_gKg20L(const double * K, const double * g);
void ytBSpline_printB(FILE * fp, const double * B, const int * index,
                      int n, int M, int deg);
double ytBSpline_gamma20(double x, double xl, double xr, double * gamma);
#endif /* __YTLIB_BSPLINE_H */