[00e80b6] | 1 | // |
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[4c8f86b3] | 2 | // Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo |
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| 3 | // |
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| 4 | // The contents of this file are covered under the licence agreement in the |
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| 5 | // file "LICENCE" distributed with Cforall. |
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[00e80b6] | 6 | // |
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| 7 | // gmp -- |
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| 8 | // |
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[4c8f86b3] | 9 | // Author : Peter A. Buhr |
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| 10 | // Created On : Tue Apr 19 08:43:43 2016 |
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| 11 | // Last Modified By : Peter A. Buhr |
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[3f8dd01] | 12 | // Last Modified On : Mon Sep 4 09:54:33 2017 |
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| 13 | // Update Count : 20 |
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[00e80b6] | 14 | // |
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[4c8f86b3] | 15 | |
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| 16 | // https://gmplib.org/gmp-man-6.1.1.pdf |
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[2893f6d] | 17 | |
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[53a6c2a] | 18 | #pragma once |
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| 19 | |
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[4c8f86b3] | 20 | #include <gmp.h> // GNU multi-precise integers |
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| 21 | #include <fstream> // sout |
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| 22 | |
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| 23 | struct Int { mpz_t mpz; }; // wrap GMP implementation |
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| 24 | |
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| 25 | // constructor |
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[00e80b6] | 26 | static inline void ?{}( Int & this ) { mpz_init( this.mpz ); } |
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| 27 | static inline void ?{}( Int & this, Int init ) { mpz_init_set( this.mpz, init.mpz ); } |
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| 28 | static inline void ?{}( Int & this, zero_t ) { mpz_init_set_si( this.mpz, 0 ); } |
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| 29 | static inline void ?{}( Int & this, one_t ) { mpz_init_set_si( this.mpz, 1 ); } |
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| 30 | static inline void ?{}( Int & this, signed long int init ) { mpz_init_set_si( this.mpz, init ); } |
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| 31 | static inline void ?{}( Int & this, unsigned long int init ) { mpz_init_set_ui( this.mpz, init ); } |
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| 32 | static inline void ?{}( Int & this, const char * val ) { if ( mpz_init_set_str( this.mpz, val, 0 ) ) abort(); } |
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| 33 | static inline void ^?{}( Int & this ) { mpz_clear( this.mpz ); } |
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[4c8f86b3] | 34 | |
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[3f8dd01] | 35 | // literal |
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| 36 | static inline Int ?`mp( signed long int init ) { return (Int){ init }; } |
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| 37 | static inline Int ?`mp( unsigned long int init ) { return (Int){ init }; } |
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| 38 | static inline Int ?`mp( const char * init ) { return (Int){ init }; } |
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| 39 | |
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[4c8f86b3] | 40 | // assignment |
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[00e80b6] | 41 | static inline Int ?=?( Int & lhs, Int rhs ) { mpz_set( lhs.mpz, rhs.mpz ); return lhs; } |
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| 42 | static inline Int ?=?( Int & lhs, long int rhs ) { mpz_set_si( lhs.mpz, rhs ); return lhs; } |
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| 43 | static inline Int ?=?( Int & lhs, unsigned long int rhs ) { mpz_set_ui( lhs.mpz, rhs ); return lhs; } |
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| 44 | static inline Int ?=?( Int & lhs, const char * rhs ) { if ( mpz_set_str( lhs.mpz, rhs, 0 ) ) { printf( "invalid string conversion\n" ); abort(); } return lhs; } |
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| 45 | |
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| 46 | static inline char ?=?( char & lhs, Int rhs ) { char val = mpz_get_si( rhs.mpz ); lhs = val; return lhs; } |
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| 47 | static inline short int ?=?( short int & lhs, Int rhs ) { short int val = mpz_get_si( rhs.mpz ); lhs = val; return lhs; } |
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| 48 | static inline int ?=?( int & lhs, Int rhs ) { int val = mpz_get_si( rhs.mpz ); lhs = val; return lhs; } |
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| 49 | static inline long int ?=?( long int & lhs, Int rhs ) { long int val = mpz_get_si( rhs.mpz ); lhs = val; return lhs; } |
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| 50 | static inline unsigned char ?=?( unsigned char & lhs, Int rhs ) { unsigned char val = mpz_get_ui( rhs.mpz ); lhs = val; return lhs; } |
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| 51 | static inline unsigned short int ?=?( unsigned short int & lhs, Int rhs ) { unsigned short int val = mpz_get_ui( rhs.mpz ); lhs = val; return lhs; } |
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| 52 | static inline unsigned int ?=?( unsigned int & lhs, Int rhs ) { unsigned int val = mpz_get_ui( rhs.mpz ); lhs = val; return lhs; } |
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| 53 | static inline unsigned long int ?=?( unsigned long int & lhs, Int rhs ) { unsigned long int val = mpz_get_ui( rhs.mpz ); lhs = val; return lhs; } |
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[4c8f86b3] | 54 | |
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| 55 | // conversions |
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[8f61052c] | 56 | static inline long int narrow( Int val ) { return mpz_get_si( val.mpz ); } |
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| 57 | static inline unsigned long int narrow( Int val ) { return mpz_get_ui( val.mpz ); } |
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[4c8f86b3] | 58 | |
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| 59 | // comparison |
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[8f61052c] | 60 | static inline int ?==?( Int oper1, Int oper2 ) { return mpz_cmp( oper1.mpz, oper2.mpz ) == 0; } |
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| 61 | static inline int ?==?( Int oper1, long int oper2 ) { return mpz_cmp_si( oper1.mpz, oper2 ) == 0; } |
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| 62 | static inline int ?==?( long int oper2, Int oper1 ) { return mpz_cmp_si( oper1.mpz, oper2 ) == 0; } |
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| 63 | static inline int ?==?( Int oper1, unsigned long int oper2 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) == 0; } |
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| 64 | static inline int ?==?( unsigned long int oper2, Int oper1 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) == 0; } |
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[4c8f86b3] | 65 | |
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[8f61052c] | 66 | static inline int ?!=?( Int oper1, Int oper2 ) { return ! ( oper1 == oper2 ); } |
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| 67 | static inline int ?!=?( Int oper1, long int oper2 ) { return ! ( oper1 == oper2 ); } |
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| 68 | static inline int ?!=?( long int oper1, Int oper2 ) { return ! ( oper1 == oper2 ); } |
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| 69 | static inline int ?!=?( Int oper1, unsigned long int oper2 ) { return ! ( oper1 == oper2 ); } |
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| 70 | static inline int ?!=?( unsigned long int oper1, Int oper2 ) { return ! ( oper1 == oper2 ); } |
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[4c8f86b3] | 71 | |
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[8f61052c] | 72 | static inline int ?<?( Int oper1, Int oper2 ) { return mpz_cmp( oper1.mpz, oper2.mpz ) < 0; } |
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| 73 | static inline int ?<?( Int oper1, long int oper2 ) { return mpz_cmp_si( oper1.mpz, oper2 ) < 0; } |
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| 74 | static inline int ?<?( long int oper2, Int oper1 ) { return mpz_cmp_si( oper1.mpz, oper2 ) < 0; } |
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| 75 | static inline int ?<?( Int oper1, unsigned long int oper2 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) < 0; } |
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| 76 | static inline int ?<?( unsigned long int oper2, Int oper1 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) < 0; } |
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[4c8f86b3] | 77 | |
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[8f61052c] | 78 | static inline int ?<=?( Int oper1, Int oper2 ) { return mpz_cmp( oper1.mpz, oper2.mpz ) <= 0; } |
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| 79 | static inline int ?<=?( Int oper1, long int oper2 ) { return mpz_cmp_si( oper1.mpz, oper2 ) <= 0; } |
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| 80 | static inline int ?<=?( long int oper2, Int oper1 ) { return mpz_cmp_si( oper1.mpz, oper2 ) <= 0; } |
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| 81 | static inline int ?<=?( Int oper1, unsigned long int oper2 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) <= 0; } |
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| 82 | static inline int ?<=?( unsigned long int oper2, Int oper1 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) <= 0; } |
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[4c8f86b3] | 83 | |
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[8f61052c] | 84 | static inline int ?>?( Int oper1, Int oper2 ) { return ! ( oper1 <= oper2 ); } |
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| 85 | static inline int ?>?( Int oper1, long int oper2 ) { return ! ( oper1 <= oper2 ); } |
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| 86 | static inline int ?>?( long int oper1, Int oper2 ) { return ! ( oper1 <= oper2 ); } |
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| 87 | static inline int ?>?( Int oper1, unsigned long int oper2 ) { return ! ( oper1 <= oper2 ); } |
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| 88 | static inline int ?>?( unsigned long int oper1, Int oper2 ) { return ! ( oper1 <= oper2 ); } |
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[4c8f86b3] | 89 | |
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[8f61052c] | 90 | static inline int ?>=?( Int oper1, Int oper2 ) { return ! ( oper1 < oper2 ); } |
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| 91 | static inline int ?>=?( Int oper1, long int oper2 ) { return ! ( oper1 < oper2 ); } |
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| 92 | static inline int ?>=?( long int oper1, Int oper2 ) { return ! ( oper1 < oper2 ); } |
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| 93 | static inline int ?>=?( Int oper1, unsigned long int oper2 ) { return ! ( oper1 < oper2 ); } |
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| 94 | static inline int ?>=?( unsigned long int oper1, Int oper2 ) { return ! ( oper1 < oper2 ); } |
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[4c8f86b3] | 95 | |
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| 96 | // arithmetic |
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[8f61052c] | 97 | static inline Int +?( Int oper ) { Int pos; mpz_set( pos.mpz, oper.mpz ); return pos; } |
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| 98 | static inline Int -?( Int oper ) { Int neg; mpz_neg( neg.mpz, oper.mpz ); return neg; } |
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| 99 | static inline Int ~?( Int oper ) { Int comp; mpz_com( comp.mpz, oper.mpz ); return comp; } |
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[4c8f86b3] | 100 | |
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[8f61052c] | 101 | static inline Int ?&?( Int oper1, Int oper2 ) { Int conjunction; mpz_and( conjunction.mpz, oper1.mpz, oper2.mpz ); return conjunction; } |
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| 102 | static inline Int ?&?( Int oper1, long int oper2 ) { Int conjunction, temp; mpz_set_si( temp.mpz, oper2 ); mpz_and( conjunction.mpz, oper1.mpz, temp.mpz ); return conjunction; } |
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| 103 | static inline Int ?&?( long int oper1, Int oper2 ) { Int conjunction, temp; mpz_set_si( temp.mpz, oper1 ); mpz_and( conjunction.mpz, temp.mpz, oper2.mpz ); return conjunction; } |
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| 104 | static inline Int ?&?( Int oper1, unsigned long int oper2 ) { Int conjunction, temp; mpz_set_ui( temp.mpz, oper2 ); mpz_and( conjunction.mpz, oper1.mpz, temp.mpz ); return conjunction; } |
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| 105 | static inline Int ?&?( unsigned long int oper1, Int oper2 ) { Int conjunction, temp; mpz_set_ui( temp.mpz, oper1 ); mpz_and( conjunction.mpz, temp.mpz, oper2.mpz ); return conjunction; } |
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[00e80b6] | 106 | static inline Int ?&=?( Int & lhs, Int rhs ) { return lhs = lhs & rhs; } |
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[4c8f86b3] | 107 | |
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[8f61052c] | 108 | static inline Int ?|?( Int oper1, Int oper2 ) { Int disjunction; mpz_ior( disjunction.mpz, oper1.mpz, oper2.mpz ); return disjunction; } |
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| 109 | static inline Int ?|?( Int oper1, long int oper2 ) { Int disjunction, temp; mpz_set_si( temp.mpz, oper2 ); mpz_ior( disjunction.mpz, oper1.mpz, temp.mpz ); return disjunction; } |
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| 110 | static inline Int ?|?( long int oper1, Int oper2 ) { Int disjunction, temp; mpz_set_si( temp.mpz, oper1 ); mpz_ior( disjunction.mpz, temp.mpz, oper2.mpz ); return disjunction; } |
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| 111 | static inline Int ?|?( Int oper1, unsigned long int oper2 ) { Int disjunction, temp; mpz_set_ui( temp.mpz, oper2 ); mpz_ior( disjunction.mpz, oper1.mpz, temp.mpz ); return disjunction; } |
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| 112 | static inline Int ?|?( unsigned long int oper1, Int oper2 ) { Int disjunction, temp; mpz_set_ui( temp.mpz, oper1 ); mpz_ior( disjunction.mpz, temp.mpz, oper2.mpz ); return disjunction; } |
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[00e80b6] | 113 | static inline Int ?|=?( Int & lhs, Int rhs ) { return lhs = lhs | rhs; } |
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[4c8f86b3] | 114 | |
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[8f61052c] | 115 | static inline Int ?^?( Int oper1, Int oper2 ) { Int disjunction; mpz_xor( disjunction.mpz, oper1.mpz, oper2.mpz ); return disjunction; } |
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| 116 | static inline Int ?^?( Int oper1, long int oper2 ) { Int disjunction, temp; mpz_set_si( temp.mpz, oper2 ); mpz_ior( disjunction.mpz, oper1.mpz, temp.mpz ); return disjunction; } |
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| 117 | static inline Int ?^?( long int oper1, Int oper2 ) { Int disjunction, temp; mpz_set_si( temp.mpz, oper1 ); mpz_ior( disjunction.mpz, temp.mpz, oper2.mpz ); return disjunction; } |
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| 118 | static inline Int ?^?( Int oper1, unsigned long int oper2 ) { Int disjunction, temp; mpz_set_ui( temp.mpz, oper2 ); mpz_ior( disjunction.mpz, oper1.mpz, temp.mpz ); return disjunction; } |
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| 119 | static inline Int ?^?( unsigned long int oper1, Int oper2 ) { Int disjunction, temp; mpz_set_ui( temp.mpz, oper1 ); mpz_ior( disjunction.mpz, temp.mpz, oper2.mpz ); return disjunction; } |
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[00e80b6] | 120 | static inline Int ?^=?( Int & lhs, Int rhs ) { return lhs = lhs ^ rhs; } |
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[4c8f86b3] | 121 | |
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[8f61052c] | 122 | static inline Int ?+?( Int addend1, Int addend2 ) { Int sum; mpz_add( sum.mpz, addend1.mpz, addend2.mpz ); return sum; } |
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| 123 | static inline Int ?+?( Int addend1, long int addend2 ) { Int sum; if ( addend2 >= 0 ) mpz_add_ui( sum.mpz, addend1.mpz, addend2 ); else mpz_sub_ui( sum.mpz, addend1.mpz, -addend2 ); return sum; } |
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| 124 | static inline Int ?+?( long int addend2, Int addend1 ) { Int sum; if ( addend2 >= 0 ) mpz_add_ui( sum.mpz, addend1.mpz, addend2 ); else mpz_sub_ui( sum.mpz, addend1.mpz, -addend2 ); return sum; } |
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| 125 | static inline Int ?+?( Int addend1, unsigned long int addend2 ) { Int sum; mpz_add_ui( sum.mpz, addend1.mpz, addend2 ); return sum; } |
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| 126 | static inline Int ?+?( unsigned long int addend2, Int addend1 ) { Int sum; mpz_add_ui( sum.mpz, addend1.mpz, addend2 ); return sum; } |
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[00e80b6] | 127 | static inline Int ?+=?( Int & lhs, Int rhs ) { return lhs = lhs + rhs; } |
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| 128 | static inline Int ?+=?( Int & lhs, long int rhs ) { return lhs = lhs + rhs; } |
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| 129 | static inline Int ?+=?( Int & lhs, unsigned long int rhs ) { return lhs = lhs + rhs; } |
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| 130 | static inline Int ++?( Int & lhs ) { return lhs += 1; } |
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| 131 | static inline Int ?++( Int & lhs ) { Int ret = lhs; lhs += 1; return ret; } |
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[4c8f86b3] | 132 | |
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[8f61052c] | 133 | static inline Int ?-?( Int minuend, Int subtrahend ) { Int diff; mpz_sub( diff.mpz, minuend.mpz, subtrahend.mpz ); return diff; } |
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| 134 | static inline Int ?-?( Int minuend, long int subtrahend ) { Int diff; if ( subtrahend >= 0 ) mpz_sub_ui( diff.mpz, minuend.mpz, subtrahend ); else mpz_add_ui( diff.mpz, minuend.mpz, -subtrahend ); return diff; } |
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| 135 | static inline Int ?-?( long int minuend, Int subtrahend ) { Int diff; if ( subtrahend >= 0 ) mpz_ui_sub( diff.mpz, minuend, subtrahend.mpz ); else { mpz_add_ui( diff.mpz, subtrahend.mpz, -minuend ); mpz_neg( diff.mpz, diff.mpz ); } return diff; } |
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| 136 | static inline Int ?-?( Int minuend, unsigned long int subtrahend ) { Int diff; mpz_sub_ui( diff.mpz, minuend.mpz, subtrahend ); return diff; } |
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| 137 | static inline Int ?-?( unsigned long int minuend, Int subtrahend ) { Int diff; mpz_ui_sub( diff.mpz, minuend, subtrahend.mpz ); return diff; } |
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[00e80b6] | 138 | static inline Int ?-=?( Int & lhs, Int rhs ) { return lhs = lhs - rhs; } |
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| 139 | static inline Int ?-=?( Int & lhs, long int rhs ) { return lhs = lhs - rhs; } |
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| 140 | static inline Int ?-=?( Int & lhs, unsigned long int rhs ) { return lhs = lhs - rhs; } |
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| 141 | static inline Int --?( Int & lhs ) { return lhs -= 1; } |
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| 142 | static inline Int ?--( Int & lhs ) { Int ret = lhs; lhs -= 1; return ret; } |
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[4c8f86b3] | 143 | |
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[8f61052c] | 144 | static inline Int ?*?( Int multiplicator, Int multiplicand ) { Int product; mpz_mul( product.mpz, multiplicator.mpz, multiplicand.mpz ); return product; } |
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| 145 | static inline Int ?*?( Int multiplicator, long int multiplicand ) { Int product; mpz_mul_si( product.mpz, multiplicator.mpz, multiplicand ); return product; } |
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| 146 | static inline Int ?*?( long int multiplicand, Int multiplicator ) { Int product; mpz_mul_si( product.mpz, multiplicator.mpz, multiplicand ); return product; } |
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| 147 | static inline Int ?*?( Int multiplicator, unsigned long int multiplicand ) { Int product; mpz_mul_ui( product.mpz, multiplicator.mpz, multiplicand ); return product; } |
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| 148 | static inline Int ?*?( unsigned long int multiplicand, Int multiplicator ) { Int product; mpz_mul_ui( product.mpz, multiplicator.mpz, multiplicand ); return product; } |
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[00e80b6] | 149 | static inline Int ?*=?( Int & lhs, Int rhs ) { return lhs = lhs * rhs; } |
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| 150 | static inline Int ?*=?( Int & lhs, long int rhs ) { return lhs = lhs * rhs; } |
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| 151 | static inline Int ?*=?( Int & lhs, unsigned long int rhs ) { return lhs = lhs * rhs; } |
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[4c8f86b3] | 152 | |
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[2893f6d] | 153 | // some code for operators "/" and "%" taken from g++ gmpxx.h |
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[8f61052c] | 154 | static inline Int ?/?( Int dividend, Int divisor ) { Int quotient; mpz_tdiv_q( quotient.mpz, dividend.mpz, divisor.mpz ); return quotient; } |
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| 155 | static inline Int ?/?( Int dividend, unsigned long int divisor ) { Int quotient; mpz_tdiv_q_ui( quotient.mpz, dividend.mpz, divisor ); return quotient; } |
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| 156 | static inline Int ?/?( unsigned long int dividend, Int divisor ) { |
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[4c8f86b3] | 157 | Int quotient; |
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| 158 | if ( mpz_sgn( divisor.mpz ) >= 0 ) { |
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| 159 | if ( mpz_fits_ulong_p( divisor.mpz ) ) |
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| 160 | mpz_set_ui( quotient.mpz, dividend / mpz_get_ui( divisor.mpz ) ); |
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| 161 | else |
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| 162 | mpz_set_ui( quotient.mpz, 0 ); |
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| 163 | } else { |
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| 164 | mpz_neg( quotient.mpz, divisor.mpz ); |
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| 165 | if ( mpz_fits_ulong_p( quotient.mpz ) ) { |
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| 166 | mpz_set_ui( quotient.mpz, dividend / mpz_get_ui( quotient.mpz ) ); |
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| 167 | mpz_neg( quotient.mpz, quotient.mpz ); |
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| 168 | } else |
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| 169 | mpz_set_ui( quotient.mpz, 0 ); |
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| 170 | } // if |
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| 171 | return quotient; |
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| 172 | } // ?/? |
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[8f61052c] | 173 | static inline Int ?/?( Int dividend, long int divisor ) { |
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[4c8f86b3] | 174 | Int quotient; |
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| 175 | if ( divisor >= 0 ) |
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| 176 | mpz_tdiv_q_ui( quotient.mpz, dividend.mpz, divisor ); |
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| 177 | else { |
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| 178 | mpz_tdiv_q_ui( quotient.mpz, dividend.mpz, -divisor ); |
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| 179 | mpz_neg( quotient.mpz, quotient.mpz ); |
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| 180 | } // if |
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| 181 | return quotient; |
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| 182 | } // ?/? |
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[8f61052c] | 183 | static inline Int ?/?( long int dividend, Int divisor ) { |
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[4c8f86b3] | 184 | Int quotient; |
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| 185 | if ( mpz_fits_slong_p( divisor.mpz ) ) |
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| 186 | mpz_set_si( quotient.mpz, dividend / mpz_get_si( divisor.mpz ) ); |
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| 187 | else { |
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| 188 | // if divisor is bigger than a long then the quotient must be zero, unless dividend==LONG_MIN and |
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| 189 | // dividend==-LONG_MIN in which case the quotient is -1 |
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| 190 | mpz_set_si( quotient.mpz, mpz_cmpabs_ui( divisor.mpz, (dividend >= 0 ? dividend : -dividend)) == 0 ? -1 : 0 ); |
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| 191 | } // if |
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| 192 | return quotient; |
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| 193 | } // ?/? |
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[00e80b6] | 194 | static inline Int ?/=?( Int & lhs, Int rhs ) { return lhs = lhs / rhs; } |
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| 195 | static inline Int ?/=?( Int & lhs, long int rhs ) { return lhs = lhs / rhs; } |
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| 196 | static inline Int ?/=?( Int & lhs, unsigned long int rhs ) { return lhs = lhs / rhs; } |
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[4c8f86b3] | 197 | |
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[8f61052c] | 198 | static inline [ Int, Int ] div( Int dividend, Int divisor ) { Int quotient, remainder; mpz_fdiv_qr( quotient.mpz, remainder.mpz, dividend.mpz, divisor.mpz ); return [ quotient, remainder ]; } |
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| 199 | static inline [ Int, Int ] div( Int dividend, unsigned long int divisor ) { Int quotient, remainder; mpz_fdiv_qr_ui( quotient.mpz, remainder.mpz, dividend.mpz, divisor ); return [ quotient, remainder ]; } |
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[4c8f86b3] | 200 | |
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[8f61052c] | 201 | static inline Int ?%?( Int dividend, Int divisor ) { Int remainder; mpz_tdiv_r( remainder.mpz, dividend.mpz, divisor.mpz ); return remainder; } |
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| 202 | static inline Int ?%?( Int dividend, unsigned long int divisor ) { Int remainder; mpz_tdiv_r_ui( remainder.mpz, dividend.mpz, divisor ); return remainder; } |
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| 203 | static inline Int ?%?( unsigned long int dividend, Int divisor ) { |
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[4c8f86b3] | 204 | Int remainder; |
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| 205 | if ( mpz_sgn( divisor.mpz ) >= 0 ) { |
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| 206 | if ( mpz_fits_ulong_p( divisor.mpz ) ) |
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| 207 | mpz_set_ui( remainder.mpz, dividend % mpz_get_ui( divisor.mpz ) ); |
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| 208 | else |
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| 209 | mpz_set_ui( remainder.mpz, dividend ); |
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| 210 | } else { |
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| 211 | mpz_neg( remainder.mpz, divisor.mpz ); |
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| 212 | if ( mpz_fits_ulong_p( remainder.mpz ) ) |
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| 213 | mpz_set_ui( remainder.mpz, dividend % mpz_get_ui( remainder.mpz ) ); |
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| 214 | else |
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| 215 | mpz_set_ui( remainder.mpz, dividend ); |
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| 216 | } // if |
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| 217 | return remainder; |
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| 218 | } // ?%? |
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[8f61052c] | 219 | static inline Int ?%?( Int dividend, long int divisor ) { |
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[4c8f86b3] | 220 | Int remainder; |
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| 221 | mpz_tdiv_r_ui( remainder.mpz, dividend.mpz, (divisor >= 0 ? divisor : -divisor)); |
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| 222 | return remainder; |
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| 223 | } // ?%? |
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[8f61052c] | 224 | static inline Int ?%?( long int dividend, Int divisor ) { |
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[4c8f86b3] | 225 | Int remainder; |
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| 226 | if ( mpz_fits_slong_p( divisor.mpz ) ) |
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| 227 | mpz_set_si( remainder.mpz, dividend % mpz_get_si( divisor.mpz ) ); |
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| 228 | else { |
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| 229 | // if divisor is bigger than a long then the remainder is dividend unchanged, unless dividend==LONG_MIN and |
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| 230 | // dividend==-LONG_MIN in which case the remainder is 0 |
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| 231 | mpz_set_si( remainder.mpz, mpz_cmpabs_ui( divisor.mpz, (dividend >= 0 ? dividend : -dividend)) == 0 ? 0 : dividend); |
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| 232 | } // if |
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| 233 | return remainder; |
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| 234 | } // ?%? |
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[00e80b6] | 235 | static inline Int ?%=?( Int & lhs, Int rhs ) { return lhs = lhs % rhs; } |
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| 236 | static inline Int ?%=?( Int & lhs, long int rhs ) { return lhs = lhs % rhs; } |
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| 237 | static inline Int ?%=?( Int & lhs, unsigned long int rhs ) { return lhs = lhs % rhs; } |
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[4c8f86b3] | 238 | |
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[8f61052c] | 239 | static inline Int ?<<?( Int shiften, mp_bitcnt_t shift ) { Int shifted; mpz_mul_2exp( shifted.mpz, shiften.mpz, shift ); return shifted; } |
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[00e80b6] | 240 | static inline Int ?<<=?( Int & lhs, mp_bitcnt_t shift ) { return lhs = lhs << shift; } |
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[8f61052c] | 241 | static inline Int ?>>?( Int shiften, mp_bitcnt_t shift ) { Int shifted; mpz_fdiv_q_2exp( shifted.mpz, shiften.mpz, shift ); return shifted; } |
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[00e80b6] | 242 | static inline Int ?>>=?( Int & lhs, mp_bitcnt_t shift ) { return lhs = lhs >> shift; } |
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[4c8f86b3] | 243 | |
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| 244 | // number functions |
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[8f61052c] | 245 | static inline Int abs( Int oper ) { Int positive; mpz_abs( positive.mpz, oper.mpz ); return positive; } |
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| 246 | static inline Int fact( unsigned long int N ) { Int factorial; mpz_fac_ui( factorial.mpz, N ); return factorial; } |
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| 247 | static inline Int gcd( Int oper1, Int oper2 ) { Int gcdret; mpz_gcd( gcdret.mpz, oper1.mpz, oper2.mpz ); return gcdret; } |
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| 248 | static inline Int pow( Int base, unsigned long int exponent ) { Int power; mpz_pow_ui( power.mpz, base.mpz, exponent ); return power; } |
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| 249 | static inline Int pow( unsigned long int base, unsigned long int exponent ) { Int power; mpz_ui_pow_ui( power.mpz, base, exponent ); return power; } |
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| 250 | static inline void srandom( gmp_randstate_t state ) { gmp_randinit_default( state ); } |
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| 251 | static inline Int random( gmp_randstate_t state, mp_bitcnt_t n ) { Int rand; mpz_urandomb( rand.mpz, state, n ); return rand; } |
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| 252 | static inline Int random( gmp_randstate_t state, Int n ) { Int rand; mpz_urandomm( rand.mpz, state, n.mpz ); return rand; } |
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| 253 | static inline Int random( gmp_randstate_t state, mp_size_t max_size ) { Int rand; mpz_random( rand.mpz, max_size ); return rand; } |
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| 254 | static inline int sgn( Int oper ) { return mpz_sgn( oper.mpz ); } |
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| 255 | static inline Int sqrt( Int oper ) { Int root; mpz_sqrt( root.mpz, oper.mpz ); return root; } |
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[4c8f86b3] | 256 | |
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| 257 | // I/O |
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[8f61052c] | 258 | static inline forall( dtype istype | istream( istype ) ) |
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[1ae39f6e] | 259 | istype * ?|?( istype * is, Int & mp ) { |
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| 260 | gmp_scanf( "%Zd", &mp ); |
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[4c8f86b3] | 261 | return is; |
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| 262 | } // ?|? |
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| 263 | |
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[8f61052c] | 264 | static inline forall( dtype ostype | ostream( ostype ) ) |
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[4c8f86b3] | 265 | ostype * ?|?( ostype * os, Int mp ) { |
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| 266 | if ( sepPrt( os ) ) fmt( os, "%s", sepGetCur( os ) ); |
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| 267 | gmp_printf( "%Zd", mp.mpz ); |
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| 268 | sepOn( os ); |
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| 269 | return os; |
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| 270 | } // ?|? |
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| 271 | |
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| 272 | // Local Variables: // |
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| 273 | // mode: c // |
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| 274 | // tab-width: 4 // |
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| 275 | // End: // |
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