1 // transform.h: declaration of quartic transformation functions
2 //////////////////////////////////////////////////////////////////////////
3 //
4 // Copyright 1990-2012 John Cremona
5 //
6 // This file is part of the eclib package.
7 //
8 // eclib is free software; you can redistribute it and/or modify it
9 // under the terms of the GNU General Public License as published by the
10 // Free Software Foundation; either version 2 of the License, or (at your
11 // option) any later version.
12 //
13 // eclib is distributed in the hope that it will be useful, but WITHOUT
14 // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
15 // FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
16 // for more details.
17 //
18 // You should have received a copy of the GNU General Public License
19 // along with eclib; if not, write to the Free Software Foundation,
20 // Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
21 //
22 //////////////////////////////////////////////////////////////////////////
23  //
24 // Notation: g(x,z) is replaced by g(m11*x+m12*z,m21*x+m22*z)/m00^2
25 //
26 
27 #ifndef _ECLIB_TRANSFORM_H
28 #define _ECLIB_TRANSFORM_H      1
29                            //flags that this file has been included
30 
31 #include <eclib/unimod.h>
32 
33 void apply_transform(bigint& a, bigint& b, bigint& c, bigint& d, bigint& e,
34 		     const unimod& m);
35 
36 void apply_transform(bigint& a, bigint& b, bigint& c, bigint& d, bigint& e,
37 		     const scaled_unimod& m);
38 
39 int check_transform(const bigint& a, const bigint& b, const bigint& c,
40 		    const bigint& d, const bigint& e,
41 		    const unimod& m,
42 		    const bigint& xa, const bigint& xb, const bigint& xc,
43 		    const bigint& xd, const bigint& xe);
44 
45 int check_transform(const bigint& a, const bigint& b, const bigint& c,
46 		    const bigint& d, const bigint& e,
47 		    const scaled_unimod& m,
48 		    const bigint& xa, const bigint& xb, const bigint& xc,
49 		    const bigint& xd, const bigint& xe);
50 
51 void xshift(const bigint& alpha,
52 	    bigint& a, bigint& b, bigint& c, bigint& d, bigint& e,
53 	    unimod& m);
54 
55 void zshift(const bigint& gamma,
56 	    bigint& a, bigint& b, bigint& c, bigint& d, bigint& e,
57 	    unimod& m);
58 
59 void m_invert(bigint& a, bigint& b, bigint& c, bigint& d, bigint& e,
60 	      unimod& m);
61 
62 void m_invert(bigint& a, bigint& b, bigint& c, bigint& d, bigint& e,
63 	      scaled_unimod& m);
64 
65 #endif
66