source: src/libcfa/gmp @ 53a6c2a

aaron-thesisarm-ehcleanup-dtorsdeferred_resndemanglerjacob/cs343-translationjenkins-sandboxnew-astnew-ast-unique-exprnew-envno_listpersistent-indexerresolv-newwith_gc
Last change on this file since 53a6c2a was 53a6c2a, checked in by Peter A. Buhr <pabuhr@…>, 4 years ago

change meaning of sepOn, and replace #if with #pragma once in include files

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