Index: src/libcfa/gmp
===================================================================
--- src/libcfa/gmp	(revision 4c8f86b379d36b8c8ac77b52c65369e65169bb3e)
+++ src/libcfa/gmp	(revision 4c8f86b379d36b8c8ac77b52c65369e65169bb3e)
@@ -0,0 +1,269 @@
+// 
+// Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo
+//
+// The contents of this file are covered under the licence agreement in the
+// file "LICENCE" distributed with Cforall.
+// 
+// gmp -- 
+// 
+// Author           : Peter A. Buhr
+// Created On       : Tue Apr 19 08:43:43 2016
+// Last Modified By : Peter A. Buhr
+// Last Modified On : Sat May 13 22:52:26 2017
+// Update Count     : 8
+// 
+
+extern "C" {
+// https://gmplib.org/gmp-man-6.1.1.pdf
+#include <gmp.h>										// GNU multi-precise integers
+// some code for operators "/" and "%" taken from g++ gmpxx.h
+}
+#include <fstream>										// sout
+
+struct Int { mpz_t mpz; };								// wrap GMP implementation
+
+// constructor
+void ?{}( Int * this ) { mpz_init( this->mpz ); }
+void ?{}( Int * this, Int init ) { mpz_init_set( this->mpz, init.mpz ); }
+void ?{}( Int * this, zero_t ) { mpz_init_set_si( this->mpz, 0 ); }
+void ?{}( Int * this, one_t ) { mpz_init_set_si( this->mpz, 1 ); }
+void ?{}( Int * this, signed long int init ) { mpz_init_set_si( this->mpz, init ); }
+void ?{}( Int * this, unsigned long int init ) { mpz_init_set_ui( this->mpz, init ); }
+void ?{}( Int * this, const char * val ) { if ( mpz_init_set_str( this->mpz, val, 0 ) ) abort(); }
+void ^?{}( Int * this ) { mpz_clear( this->mpz ); }
+
+// assignment
+Int ?=?( Int * lhs, Int rhs ) { mpz_set( lhs->mpz, rhs.mpz ); return *lhs; }
+Int ?=?( Int * lhs, long int rhs ) { mpz_set_si( lhs->mpz, rhs ); return *lhs; }
+Int ?=?( Int * lhs, unsigned long int rhs ) { mpz_set_ui( lhs->mpz, rhs ); return *lhs; }
+//Int ?=?( Int * lhs, const char * rhs ) { if ( mpq_set_str( lhs->mpz, rhs, 0 ) ) abort(); return *lhs; }
+
+char ?=?( char * lhs, Int rhs ) { char val = mpz_get_si( rhs.mpz ); *lhs = val; return val; }
+short int ?=?( short int * lhs, Int rhs ) { short int val = mpz_get_si( rhs.mpz ); *lhs = val; return val; }
+int ?=?( int * lhs, Int rhs ) { int val = mpz_get_si( rhs.mpz ); *lhs = val; return val; }
+long int ?=?( long int * lhs, Int rhs ) { long int val = mpz_get_si( rhs.mpz ); *lhs = val; return val; }
+unsigned char ?=?( unsigned char * lhs, Int rhs ) { unsigned char val = mpz_get_ui( rhs.mpz ); *lhs = val; return val; }
+unsigned short int ?=?( unsigned short int * lhs, Int rhs ) { unsigned short int val = mpz_get_ui( rhs.mpz ); *lhs = val; return val; }
+unsigned int ?=?( unsigned int * lhs, Int rhs ) { unsigned int val = mpz_get_ui( rhs.mpz ); *lhs = val; return val; }
+unsigned long int ?=?( unsigned long int * lhs, Int rhs ) { unsigned long int val = mpz_get_ui( rhs.mpz ); *lhs = val; return val; }
+
+// conversions
+long int narrow( Int val ) { return mpz_get_si( val.mpz ); }
+unsigned long int narrow( Int val ) { return mpz_get_ui( val.mpz ); }
+
+// comparison
+int ?==?( Int oper1, Int oper2 ) { return mpz_cmp( oper1.mpz, oper2.mpz ) == 0; }
+int ?==?( Int oper1, long int oper2 ) { return mpz_cmp_si( oper1.mpz, oper2 ) == 0; }
+int ?==?( long int oper2, Int oper1 ) { return mpz_cmp_si( oper1.mpz, oper2 ) == 0; }
+int ?==?( Int oper1, unsigned long int oper2 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) == 0; }
+int ?==?( unsigned long int oper2, Int oper1 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) == 0; }
+
+int ?!=?( Int oper1, Int oper2 ) { return ! ( oper1 == oper2 ); }
+int ?!=?( Int oper1, long int oper2 ) { return ! ( oper1 == oper2 ); }
+int ?!=?( long int oper1, Int oper2 ) { return ! ( oper1 == oper2 ); }
+int ?!=?( Int oper1, unsigned long int oper2 ) { return ! ( oper1 == oper2 ); }
+int ?!=?( unsigned long int oper1, Int oper2 ) { return ! ( oper1 == oper2 ); }
+
+int ?<?( Int oper1, Int oper2 ) { return mpz_cmp( oper1.mpz, oper2.mpz ) < 0; }
+int ?<?( Int oper1, long int oper2 ) { return mpz_cmp_si( oper1.mpz, oper2 ) < 0; }
+int ?<?( long int oper2, Int oper1 ) { return mpz_cmp_si( oper1.mpz, oper2 ) < 0; }
+int ?<?( Int oper1, unsigned long int oper2 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) < 0; }
+int ?<?( unsigned long int oper2, Int oper1 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) < 0; }
+
+int ?<=?( Int oper1, Int oper2 ) { return mpz_cmp( oper1.mpz, oper2.mpz ) <= 0; }
+int ?<=?( Int oper1, long int oper2 ) { return mpz_cmp_si( oper1.mpz, oper2 ) <= 0; }
+int ?<=?( long int oper2, Int oper1 ) { return mpz_cmp_si( oper1.mpz, oper2 ) <= 0; }
+int ?<=?( Int oper1, unsigned long int oper2 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) <= 0; }
+int ?<=?( unsigned long int oper2, Int oper1 ) { return mpz_cmp_ui( oper1.mpz, oper2 ) <= 0; }
+
+int ?>?( Int oper1, Int oper2 ) { return ! ( oper1 <= oper2 ); }
+int ?>?( Int oper1, long int oper2 ) { return ! ( oper1 <= oper2 ); }
+int ?>?( long int oper1, Int oper2 ) { return ! ( oper1 <= oper2 ); }
+int ?>?( Int oper1, unsigned long int oper2 ) { return ! ( oper1 <= oper2 ); }
+int ?>?( unsigned long int oper1, Int oper2 ) { return ! ( oper1 <= oper2 ); }
+
+int ?>=?( Int oper1, Int oper2 ) { return ! ( oper1 < oper2 ); }
+int ?>=?( Int oper1, long int oper2 ) { return ! ( oper1 < oper2 ); }
+int ?>=?( long int oper1, Int oper2 ) { return ! ( oper1 < oper2 ); }
+int ?>=?( Int oper1, unsigned long int oper2 ) { return ! ( oper1 < oper2 ); }
+int ?>=?( unsigned long int oper1, Int oper2 ) { return ! ( oper1 < oper2 ); }
+
+// arithmetic
+Int +?( Int oper ) { Int pos; mpz_set( pos.mpz, oper.mpz ); return pos; }
+Int -?( Int oper ) { Int neg; mpz_neg( neg.mpz, oper.mpz ); return neg; }
+Int ~?( Int oper ) { Int comp; mpz_com( comp.mpz, oper.mpz ); return comp; }
+
+Int ?&?( Int oper1, Int oper2 ) { Int conjunction; mpz_and( conjunction.mpz, oper1.mpz, oper2.mpz ); return conjunction; }
+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; }
+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; }
+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; }
+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; }
+Int ?&=?( Int * lhs, Int rhs ) { return *lhs = *lhs & rhs; }
+
+Int ?|?( Int oper1, Int oper2 ) { Int disjunction; mpz_ior( disjunction.mpz, oper1.mpz, oper2.mpz ); return disjunction; }
+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; }
+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; }
+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; }
+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; }
+Int ?|=?( Int * lhs, Int rhs ) { return *lhs = *lhs | rhs; }
+
+Int ?^?( Int oper1, Int oper2 ) { Int disjunction; mpz_xor( disjunction.mpz, oper1.mpz, oper2.mpz ); return disjunction; }
+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; }
+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; }
+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; }
+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; }
+Int ?^=?( Int * lhs, Int rhs ) { return *lhs = *lhs ^ rhs; }
+
+Int ?+?( Int addend1, Int addend2 ) { Int sum; mpz_add( sum.mpz, addend1.mpz, addend2.mpz ); return sum; }
+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; }
+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; }
+Int ?+?( Int addend1, unsigned long int addend2 ) { Int sum; mpz_add_ui( sum.mpz, addend1.mpz, addend2 ); return sum; }
+Int ?+?( unsigned long int addend2, Int addend1 ) { Int sum; mpz_add_ui( sum.mpz, addend1.mpz, addend2 ); return sum; }
+Int ?+=?( Int * lhs, Int rhs ) { return *lhs = *lhs + rhs; }
+Int ?+=?( Int * lhs, long int rhs ) { return *lhs = *lhs + rhs; }
+Int ?+=?( Int * lhs, unsigned long int rhs ) { return *lhs = *lhs + rhs; }
+Int ++?( Int * lhs ) { return *lhs += 1; }
+Int ?++( Int * lhs ) { Int ret = *lhs; *lhs += 1; return ret; }
+
+Int ?-?( Int minuend, Int subtrahend ) { Int diff; mpz_sub( diff.mpz, minuend.mpz, subtrahend.mpz ); return diff; }
+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; }
+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; }
+Int ?-?( Int minuend, unsigned long int subtrahend ) { Int diff; mpz_sub_ui( diff.mpz, minuend.mpz, subtrahend ); return diff; }
+Int ?-?( unsigned long int minuend, Int subtrahend ) { Int diff; mpz_ui_sub( diff.mpz, minuend, subtrahend.mpz ); return diff; }
+Int ?-=?( Int * lhs, Int rhs ) { return *lhs = *lhs - rhs; }
+Int ?-=?( Int * lhs, long int rhs ) { return *lhs = *lhs - rhs; }
+Int ?-=?( Int * lhs, unsigned long int rhs ) { return *lhs = *lhs - rhs; }
+Int --?( Int * lhs ) { return *lhs -= 1; }
+Int ?--( Int * lhs ) { Int ret = *lhs; *lhs -= 1; return ret; }
+
+Int ?*?( Int multiplicator, Int multiplicand ) { Int product; mpz_mul( product.mpz, multiplicator.mpz, multiplicand.mpz ); return product; }
+Int ?*?( Int multiplicator, long int multiplicand ) { Int product; mpz_mul_si( product.mpz, multiplicator.mpz, multiplicand ); return product; }
+Int ?*?( long int multiplicand, Int multiplicator ) { Int product; mpz_mul_si( product.mpz, multiplicator.mpz, multiplicand ); return product; }
+Int ?*?( Int multiplicator, unsigned long int multiplicand ) { Int product; mpz_mul_ui( product.mpz, multiplicator.mpz, multiplicand ); return product; }
+Int ?*?( unsigned long int multiplicand, Int multiplicator ) { Int product; mpz_mul_ui( product.mpz, multiplicator.mpz, multiplicand ); return product; }
+Int ?*=?( Int * lhs, Int rhs ) { return *lhs = *lhs * rhs; }
+Int ?*=?( Int * lhs, long int rhs ) { return *lhs = *lhs * rhs; }
+Int ?*=?( Int * lhs, unsigned long int rhs ) { return *lhs = *lhs * rhs; }
+
+Int ?/?( Int dividend, Int divisor ) { Int quotient; mpz_tdiv_q( quotient.mpz, dividend.mpz, divisor.mpz ); return quotient; }
+Int ?/?( Int dividend, unsigned long int divisor ) { Int quotient; mpz_tdiv_q_ui( quotient.mpz, dividend.mpz, divisor ); return quotient; }
+Int ?/?( unsigned long int dividend, Int divisor ) {
+	Int quotient;
+    if ( mpz_sgn( divisor.mpz ) >= 0 ) {
+		if ( mpz_fits_ulong_p( divisor.mpz ) )
+			mpz_set_ui( quotient.mpz, dividend / mpz_get_ui( divisor.mpz ) );
+		else
+			mpz_set_ui( quotient.mpz, 0 );
+	} else {
+		mpz_neg( quotient.mpz, divisor.mpz );
+		if ( mpz_fits_ulong_p( quotient.mpz ) ) {
+			mpz_set_ui( quotient.mpz, dividend / mpz_get_ui( quotient.mpz ) );
+			mpz_neg( quotient.mpz, quotient.mpz );
+		} else
+			mpz_set_ui( quotient.mpz, 0 );
+	} // if
+	return quotient;
+} // ?/?
+Int ?/?( Int dividend, long int divisor ) {
+	Int quotient;
+    if ( divisor >= 0 )
+		mpz_tdiv_q_ui( quotient.mpz, dividend.mpz, divisor );
+    else {
+		mpz_tdiv_q_ui( quotient.mpz, dividend.mpz, -divisor );
+		mpz_neg( quotient.mpz, quotient.mpz );
+	} // if
+	return quotient;
+} // ?/?
+Int ?/?( long int dividend, Int divisor ) {
+	Int quotient;
+    if ( mpz_fits_slong_p( divisor.mpz ) )
+		mpz_set_si( quotient.mpz, dividend / mpz_get_si( divisor.mpz ) );
+    else {
+        // if divisor is bigger than a long then the quotient must be zero, unless dividend==LONG_MIN and
+        // dividend==-LONG_MIN in which case the quotient is -1
+        mpz_set_si( quotient.mpz, mpz_cmpabs_ui( divisor.mpz, (dividend >= 0 ? dividend : -dividend)) == 0 ? -1 : 0 );
+	} // if
+	return quotient;
+} // ?/?
+Int ?/=?( Int * lhs, Int rhs ) { return *lhs = *lhs / rhs; }
+Int ?/=?( Int * lhs, long int rhs ) { return *lhs = *lhs / rhs; }
+Int ?/=?( Int * lhs, unsigned long int rhs ) { return *lhs = *lhs / rhs; }
+
+[ Int, Int ] div( Int dividend, Int divisor ) { Int quotient, remainder; mpz_fdiv_qr( quotient.mpz, remainder.mpz, dividend.mpz, divisor.mpz ); return [ quotient, remainder ]; }
+[ 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 ]; }
+
+Int ?%?( Int dividend, Int divisor ) { Int remainder; mpz_tdiv_r( remainder.mpz, dividend.mpz, divisor.mpz ); return remainder; }
+Int ?%?( Int dividend, unsigned long int divisor ) { Int remainder; mpz_tdiv_r_ui( remainder.mpz, dividend.mpz, divisor ); return remainder; }
+Int ?%?( unsigned long int dividend, Int divisor ) {
+	Int remainder;
+    if ( mpz_sgn( divisor.mpz ) >= 0 ) {
+		if ( mpz_fits_ulong_p( divisor.mpz ) )
+			mpz_set_ui( remainder.mpz, dividend % mpz_get_ui( divisor.mpz ) );
+		else
+			mpz_set_ui( remainder.mpz, dividend );
+	} else {
+		mpz_neg( remainder.mpz, divisor.mpz );
+		if ( mpz_fits_ulong_p( remainder.mpz ) )
+			mpz_set_ui( remainder.mpz, dividend % mpz_get_ui( remainder.mpz ) );
+		else
+			mpz_set_ui( remainder.mpz, dividend );
+	} // if
+	return remainder;
+} // ?%?
+Int ?%?( Int dividend, long int divisor ) {
+	Int remainder;
+    mpz_tdiv_r_ui( remainder.mpz, dividend.mpz, (divisor >= 0 ? divisor : -divisor));
+	return remainder;
+} // ?%?
+Int ?%?( long int dividend, Int divisor ) {
+	Int remainder;
+    if ( mpz_fits_slong_p( divisor.mpz ) )
+		mpz_set_si( remainder.mpz, dividend % mpz_get_si( divisor.mpz ) );
+	else {
+		// if divisor is bigger than a long then the remainder is dividend unchanged, unless dividend==LONG_MIN and
+		// dividend==-LONG_MIN in which case the remainder is 0
+        mpz_set_si( remainder.mpz, mpz_cmpabs_ui( divisor.mpz, (dividend >= 0 ? dividend : -dividend)) == 0 ? 0 : dividend);
+	} // if
+	return remainder;
+} // ?%?
+Int ?%=?( Int * lhs, Int rhs ) { return *lhs = *lhs % rhs; }
+Int ?%=?( Int * lhs, long int rhs ) { return *lhs = *lhs % rhs; }
+Int ?%=?( Int * lhs, unsigned long int rhs ) { return *lhs = *lhs % rhs; }
+
+Int ?<<?( Int shiften, mp_bitcnt_t shift ) { Int shifted; mpz_mul_2exp( shifted.mpz, shiften.mpz, shift ); return shifted; }
+Int ?<<=?( Int * lhs, mp_bitcnt_t shift ) { return *lhs = *lhs << shift; }
+Int ?>>?( Int shiften, mp_bitcnt_t shift ) { Int shifted; mpz_fdiv_q_2exp( shifted.mpz, shiften.mpz, shift ); return shifted; }
+Int ?>>=?( Int * lhs, mp_bitcnt_t shift ) { return *lhs = *lhs >> shift; }
+
+// number functions
+Int abs( Int oper ) { Int positive; mpz_abs( positive.mpz, oper.mpz ); return positive; }
+Int fact( unsigned long int N ) { Int factorial; mpz_fac_ui( factorial.mpz, N ); return factorial; }
+Int gcd( Int oper1, Int oper2 ) { Int gcdret; mpz_gcd( gcdret.mpz, oper1.mpz, oper2.mpz ); return gcdret; }
+Int pow( Int base, unsigned long int exponent ) { Int power; mpz_pow_ui( power.mpz, base.mpz, exponent ); return power; }
+Int pow( unsigned long int base, unsigned long int exponent ) { Int power; mpz_ui_pow_ui( power.mpz, base, exponent ); return power; }
+void srandom( gmp_randstate_t state ) { gmp_randinit_default( state ); }
+Int random( gmp_randstate_t state, mp_bitcnt_t n ) { Int rand; mpz_urandomb( rand.mpz, state, n ); return rand; }
+Int random( gmp_randstate_t state, Int n ) { Int rand; mpz_urandomm( rand.mpz, state, n.mpz ); return rand; }
+Int random( gmp_randstate_t state, mp_size_t max_size ) { Int rand; mpz_random( rand.mpz, max_size ); return rand; }
+int sgn( Int oper ) { return mpz_sgn( oper.mpz ); }
+Int sqrt( Int oper ) { Int root; mpz_sqrt( root.mpz, oper.mpz ); return root; }
+
+// I/O
+forall( dtype istype | istream( istype ) )
+istype * ?|?( istype * is, Int * mp ) {
+ 	gmp_scanf( "%Zd", mp );
+ 	return is;
+} // ?|?
+
+forall( dtype ostype | ostream( ostype ) )
+ostype * ?|?( ostype * os, Int mp ) {
+	if ( sepPrt( os ) ) fmt( os, "%s", sepGetCur( os ) );
+	gmp_printf( "%Zd", mp.mpz );
+	sepOn( os );
+ 	return os;
+} // ?|?
+
+// Local Variables: //
+// mode: c //
+// tab-width: 4 //
+// End: //