#ifndef NTL_quad_float__H #define NTL_quad_float__H /* Copyright (C) 1997, 1998, 1999, 2000 Victor Shoup This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. ***************************************************** The quad_float package is derived from the doubledouble package of Keith Briggs. However, the version employed in NTL has been extensively modified. Below, I attach the copyright notice from the original doubledouble package, which is currently available at http://www.labs.bt.com/people/briggsk2 ***************************************************** Copyright (C) 1997 Keith Martin Briggs Except where otherwise indicated, this program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #include NTL_OPEN_NNS class quad_float { public: double hi, lo; // Constructors quad_float() : hi(0), lo(0) {} inline quad_float& operator=(double x); static long oprec; static void SetOutputPrecision(long p); static long OutputPrecision() { return oprec; } quad_float(double x, double y) : hi(x), lo(y) { } // internal use only ~quad_float() {} }; // end class quad_float #if (NTL_BITS_PER_LONG < NTL_DOUBLE_PRECISION) inline quad_float to_quad_float(long n) { return quad_float(n, 0); } inline quad_float to_quad_float(unsigned long n) { return quad_float(n, 0); } #else quad_float to_quad_float(long n); quad_float to_quad_float(unsigned long n); #endif #if (NTL_BITS_PER_INT < NTL_DOUBLE_PRECISION) inline quad_float to_quad_float(int n) { return quad_float(n, 0); } inline quad_float to_quad_float(unsigned int n) { return quad_float(n, 0); } #else inline quad_float to_quad_float(int n) { return to_quad_float(long(n)); } inline quad_float to_quad_float(unsigned int n) { return to_quad_float((unsigned long) n); } #endif inline quad_float to_quad_float(double x) { return quad_float(x, 0); } // On platforms with extended doubles, this may result in an // improper quad_float object, but it should be converted to a proper // one when passed by reference to any of the arithmetic routines, // at which time x will be forced to memory. inline quad_float to_quad_float(float x) { return to_quad_float(double(x)); } inline quad_float& quad_float::operator=(double x) { *this = to_quad_float(x); return *this; } quad_float operator+(const quad_float&, const quad_float& ); inline quad_float operator+(const quad_float& x, double y ) { return x + to_quad_float(y); } inline quad_float operator+(double x, const quad_float& y) { return to_quad_float(x) + y; } quad_float operator-(const quad_float&, const quad_float& ); inline quad_float operator-(const quad_float& x, double y ) { return x - to_quad_float(y); } inline quad_float operator-(double x, const quad_float& y) { return to_quad_float(x) - y; } quad_float operator*(const quad_float&, const quad_float& ); inline quad_float operator*(const quad_float& x, double y ) { return x * to_quad_float(y); } inline quad_float operator*(double x, const quad_float& y) { return to_quad_float(x) * y; } quad_float operator/(const quad_float&, const quad_float& ); inline quad_float operator/(const quad_float& x, double y ) { return x / to_quad_float(y); } inline quad_float operator/(double x, const quad_float& y) { return to_quad_float(x) / y; } quad_float operator-(const quad_float& x); quad_float& operator+= (quad_float& x, const quad_float& y); inline quad_float& operator += (quad_float& x, double y) { x += to_quad_float(y); return x; } quad_float& operator-= (quad_float& x, const quad_float& y); inline quad_float& operator-= (quad_float& x, double y) { x -= to_quad_float(y); return x; } quad_float& operator*= (quad_float& x, const quad_float& y); inline quad_float& operator*= (quad_float& x, double y) { x *= to_quad_float(y); return x; } quad_float& operator/= (quad_float& x, const quad_float& y); inline quad_float& operator/= (quad_float& x, double y) { x /= to_quad_float(y); return x; } inline quad_float& operator++(quad_float& a) { a += 1.0; return a; } inline void operator++(quad_float& a, int) { a += 1.0; } inline quad_float& operator--(quad_float& a) { a -= 1.0; return a; } inline void operator--(quad_float& a, int) { a -= 1.0; } long operator> (const quad_float& x, const quad_float& y); long operator>=(const quad_float& x, const quad_float& y); long operator< (const quad_float& x, const quad_float& y); long operator<=(const quad_float& x, const quad_float& y); long operator==(const quad_float& x, const quad_float& y); long operator!=(const quad_float& x, const quad_float& y); inline long operator> (const quad_float& x, double y) { return x > to_quad_float(y); } inline long operator> (double x, const quad_float& y) { return to_quad_float(x) > y; } inline long operator>=(const quad_float& x, double y) { return x >= to_quad_float(y); } inline long operator>=(double x, const quad_float& y) { return to_quad_float(x) >= y; } inline long operator< (const quad_float& x, double y) { return x < to_quad_float(y); } inline long operator< (double x, const quad_float& y) { return to_quad_float(x) < y; } inline long operator<=(const quad_float& x, double y) { return x <= to_quad_float(y); } inline long operator<=(double x, const quad_float& y) { return to_quad_float(x) <= y; } inline long operator!=(const quad_float& x, double y) { return x != to_quad_float(y); } inline long operator!=(double x, const quad_float& y) { return to_quad_float(x) != y; } inline long operator==(const quad_float& x, double y) { return x == to_quad_float(y); } inline long operator==(double x, const quad_float& y) { return to_quad_float(x) == y; } inline long sign(const quad_float& x){ if (x.hi>0.0) return 1; else if (x.hi<0.0) return -1; else return 0; } long compare(const quad_float&, const quad_float&); inline long compare(const quad_float& x, double y) { return compare(x, to_quad_float(y)); } inline long compare(double x, const quad_float& y) { return compare(to_quad_float(x), y); } NTL_SNS istream& operator >> (NTL_SNS istream&, quad_float&); NTL_SNS ostream& operator << (NTL_SNS ostream&, const quad_float&); quad_float sqrt(const quad_float&); quad_float floor(const quad_float&); quad_float ceil(const quad_float&); quad_float trunc(const quad_float&); quad_float fabs(const quad_float&); void power(quad_float&, const quad_float&, long); inline quad_float power(const quad_float& x, long e) { quad_float z; power(z, x, e); return z; } void power2(quad_float&, long); inline quad_float power2_quad_float(long e) { quad_float z; power2(z, e); return z; } long to_long(const quad_float&); inline int to_int(const quad_float& x) { return to_int(to_long(x)); } inline double to_double(const quad_float& x) { return x.hi; } inline float to_float(const quad_float& x) { return float(x.hi); } inline void conv(quad_float& x, int a) { x = to_quad_float(a); } inline void conv(quad_float& x, long a) { x = to_quad_float(a); } inline void conv(quad_float& x, unsigned int a) { x = to_quad_float(a); } inline void conv(quad_float& x, unsigned long a) { x = to_quad_float(a); } inline void conv(quad_float& x, float a) { x = to_quad_float(a); } inline void conv(quad_float& x, double a) { x = to_quad_float(a); } inline void conv(long& x, const quad_float& a) { x = to_long(a); } inline void conv(int& x, const quad_float& a) { x = to_int(a); } inline void conv(double& x, const quad_float& a) { x = to_double(a); } inline void conv(float& x, const quad_float& a) { x = to_float(a); } void conv(quad_float&, const ZZ&); inline quad_float to_quad_float(const ZZ& x) { quad_float z; conv(z, x); return z; } void conv(ZZ&, const quad_float&); inline ZZ to_ZZ(const quad_float& a) { ZZ x; conv(x, a); NTL_OPT_RETURN(ZZ, x); } inline void conv(quad_float& x, const quad_float& a) { x = a; } inline quad_float to_quad_float(const quad_float& a) { return a; } quad_float to_quad_float(const char *s); inline void conv(quad_float& x, const char *s) { x = to_quad_float(s); } long IsFinite(quad_float *x); long PrecisionOK(); quad_float ldexp(const quad_float& x, long exp); quad_float exp(const quad_float& x); quad_float log(const quad_float& x); void random(quad_float& x); quad_float random_quad_float(); NTL_CLOSE_NNS #endif