/* streflop: STandalone REproducible FLOating-Point Copyright 2006 Nicolas Brodu 2012 Mark Vejvoda Code released according to the GNU Lesser General Public License Heavily relies on GNU Libm, itself depending on netlib fplibm, GNU MP, and IBM MP lib. Uses SoftFloat too. Please read the history and copyright information in the documentation provided with the source code */ #ifndef X87DenormalSquasher_H #define X87DenormalSquasher_H /// This file should be included from within a streflop namespace template inline void X87DenormalSquashFunction(ValueType& value) { struct X {}; X Unknown_numeric_type; // unknown types do not compile value = Unknown_numeric_type; } // Use cmov instruction to avoid branching? // Pro: branching may be costly, though the branching predictor may compensate when there are few denormals // Con: cmov forces an unconditional writeback to the mem just after read, which may be worse than the branch template<> inline void X87DenormalSquashFunction(float& value) { if ((reinterpret_cast(&value)[0] & 0x7F800000) == 0) value = 0.0f; } template<> inline void X87DenormalSquashFunction(double& value) { if ((reinterpret_cast(&value)[1] & 0x7FF00000) == 0) value = 0.0; } template<> inline void X87DenormalSquashFunction(long double& value) { if ((reinterpret_cast(&value)[4] & 0x7FFF) == 0) value = 0.0L; } /// Wrapper class for the denormal squashing of X87 /// The goal is to be able to use this file for normal arithmetic operations /// as if this was a native float or double, thanks to C++ operator overloading. /// In particular, the GNU libm may be compiled this way, though no effort was made /// to optimize out the denormal parts (and squashing denormals is non-IEEE compliant anyway) template struct X87DenormalSquasher { // Define value ValueType value; /// Uninitialized object inline X87DenormalSquasher() {} /// Copy and conversion from other precisions inline X87DenormalSquasher(const X87DenormalSquasher& f) : value(f.value) {X87DenormalSquashFunction(value);} inline X87DenormalSquasher(const X87DenormalSquasher& f) : value(f.value) {X87DenormalSquashFunction(value);} inline X87DenormalSquasher(const X87DenormalSquasher& f) : value(f.value) {X87DenormalSquashFunction(value);} inline X87DenormalSquasher& operator=(const X87DenormalSquasher& f) {value = f.value; X87DenormalSquashFunction(value); return *this;} // self-ref OK inline X87DenormalSquasher& operator=(const X87DenormalSquasher& f) {value = f.value; X87DenormalSquashFunction(value); return *this;} // self-ref OK inline X87DenormalSquasher& operator=(const X87DenormalSquasher& f) {value = f.value; X87DenormalSquashFunction(value); return *this;} // self-ref OK /// Destructor inline ~X87DenormalSquasher() {} /// Now the real fun, arithmetic operator overloading inline X87DenormalSquasher& operator+=(const X87DenormalSquasher& f) {value += f.value; X87DenormalSquashFunction(value); return *this;} inline X87DenormalSquasher& operator-=(const X87DenormalSquasher& f) {value -= f.value; X87DenormalSquashFunction(value); return *this;} inline X87DenormalSquasher& operator*=(const X87DenormalSquasher& f) {value *= f.value; X87DenormalSquashFunction(value); return *this;} inline X87DenormalSquasher& operator/=(const X87DenormalSquasher& f) {value /= f.value; X87DenormalSquashFunction(value); return *this;} inline bool operator==(const X87DenormalSquasher& f) const {return value == f.value;} inline bool operator!=(const X87DenormalSquasher& f) const {return value != f.value;} inline bool operator<(const X87DenormalSquasher& f) const {return value < f.value;} inline bool operator<=(const X87DenormalSquasher& f) const {return value <= f.value;} inline bool operator>(const X87DenormalSquasher& f) const {return value > f.value;} inline bool operator>=(const X87DenormalSquasher& f) const {return value >= f.value;} #define STREFLOP_X87DENORMAL_NATIVE_FLOAT_OPS(native_type) \ inline X87DenormalSquasher(const native_type f) {value = f; X87DenormalSquashFunction(value);} \ inline X87DenormalSquasher& operator=(const native_type f) {value = f; X87DenormalSquashFunction(value); return *this;} \ inline operator native_type() const {return static_cast(value);} \ inline X87DenormalSquasher& operator+=(const native_type f) {return operator+=(X87DenormalSquasher(f));} \ inline X87DenormalSquasher& operator-=(const native_type f) {return operator-=(X87DenormalSquasher(f));} \ inline X87DenormalSquasher& operator*=(const native_type f) {return operator*=(X87DenormalSquasher(f));} \ inline X87DenormalSquasher& operator/=(const native_type f) {return operator/=(X87DenormalSquasher(f));} \ inline bool operator==(const native_type f) const {return operator==(X87DenormalSquasher(f));} \ inline bool operator!=(const native_type f) const {return operator!=(X87DenormalSquasher(f));} \ inline bool operator<(const native_type f) const {return operator<(X87DenormalSquasher(f));} \ inline bool operator<=(const native_type f) const {return operator<=(X87DenormalSquasher(f));} \ inline bool operator>(const native_type f) const {return operator>(X87DenormalSquasher(f));} \ inline bool operator>=(const native_type f) const {return operator>=(X87DenormalSquasher(f));} #define STREFLOP_X87DENORMAL_NATIVE_INT_OPS(native_type) \ inline X87DenormalSquasher(const native_type x) {value = x;} \ inline X87DenormalSquasher& operator=(const native_type x) {value = x; return *this;} \ inline operator native_type() const {return static_cast(value);} \ inline X87DenormalSquasher& operator+=(const native_type f) {value += f; X87DenormalSquashFunction(value); return *this;} \ inline X87DenormalSquasher& operator-=(const native_type f) {value -= f; X87DenormalSquashFunction(value); return *this;} \ inline X87DenormalSquasher& operator*=(const native_type f) {value *= f; X87DenormalSquashFunction(value); return *this;} \ inline X87DenormalSquasher& operator/=(const native_type f) {value /= f; X87DenormalSquashFunction(value); return *this;} \ inline bool operator==(const native_type f) const {return value == f;} \ inline bool operator!=(const native_type f) const {return value != f;} \ inline bool operator<(const native_type f) const {return value < f;} \ inline bool operator<=(const native_type f) const {return value <= f;} \ inline bool operator>(const native_type f) const {return value > f;} \ inline bool operator>=(const native_type f) const {return value >= f;} STREFLOP_X87DENORMAL_NATIVE_FLOAT_OPS(float) STREFLOP_X87DENORMAL_NATIVE_FLOAT_OPS(double) STREFLOP_X87DENORMAL_NATIVE_FLOAT_OPS(long double) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(char) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(unsigned char) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(short) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(unsigned short) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(int) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(unsigned int) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(long) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(unsigned long) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(long long) STREFLOP_X87DENORMAL_NATIVE_INT_OPS(unsigned long long) }; /// binary operators template inline X87DenormalSquasher operator+(const X87DenormalSquasher& f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1.value + f2.value);} template inline X87DenormalSquasher operator-(const X87DenormalSquasher& f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1.value - f2.value);} template inline X87DenormalSquasher operator*(const X87DenormalSquasher& f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1.value * f2.value);} template inline X87DenormalSquasher operator/(const X87DenormalSquasher& f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1.value / f2.value);} #define STREFLOP_X87DENORMAL_FLOAT_BINARY(native_type) \ template inline X87DenormalSquasher operator+(const X87DenormalSquasher& f1, const native_type f2) {return f1 + X87DenormalSquasher(f2);} \ template inline X87DenormalSquasher operator-(const X87DenormalSquasher& f1, const native_type f2) {return f1 - X87DenormalSquasher(f2);} \ template inline X87DenormalSquasher operator*(const X87DenormalSquasher& f1, const native_type f2) {return f1 * X87DenormalSquasher(f2);} \ template inline X87DenormalSquasher operator/(const X87DenormalSquasher& f1, const native_type f2) {return f1 / X87DenormalSquasher(f2);} \ template inline X87DenormalSquasher operator+(const native_type f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1) + f2;} \ template inline X87DenormalSquasher operator-(const native_type f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1) - f2;} \ template inline X87DenormalSquasher operator*(const native_type f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1) * f2;} \ template inline X87DenormalSquasher operator/(const native_type f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1) / f2;} \ template inline bool operator==(const native_type value, const X87DenormalSquasher& f) {return X87DenormalSquasher(value) == f;} \ template inline bool operator!=(const native_type value, const X87DenormalSquasher& f) {return X87DenormalSquasher(value) != f;} \ template inline bool operator<(const native_type value, const X87DenormalSquasher& f) {return X87DenormalSquasher(value) < f;} \ template inline bool operator<=(const native_type value, const X87DenormalSquasher& f) {return X87DenormalSquasher(value) <= f;} \ template inline bool operator>(const native_type value, const X87DenormalSquasher& f) {return X87DenormalSquasher(value) > f;} \ template inline bool operator>=(const native_type value, const X87DenormalSquasher& f) {return X87DenormalSquasher(value) >= f;} #define STREFLOP_X87DENORMAL_INT_BINARY(native_type) \ template inline X87DenormalSquasher operator+(const X87DenormalSquasher& f1, const native_type f2) {return X87DenormalSquasher(f1.value + f2);} \ template inline X87DenormalSquasher operator-(const X87DenormalSquasher& f1, const native_type f2) {return X87DenormalSquasher(f1.value - f2);} \ template inline X87DenormalSquasher operator*(const X87DenormalSquasher& f1, const native_type f2) {return X87DenormalSquasher(f1.value * f2);} \ template inline X87DenormalSquasher operator/(const X87DenormalSquasher& f1, const native_type f2) {return X87DenormalSquasher(f1.value / f2);} \ template inline X87DenormalSquasher operator+(const native_type f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1 + f2.value);} \ template inline X87DenormalSquasher operator-(const native_type f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1 - f2.value);} \ template inline X87DenormalSquasher operator*(const native_type f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1 * f2.value);} \ template inline X87DenormalSquasher operator/(const native_type f1, const X87DenormalSquasher& f2) {return X87DenormalSquasher(f1 / f2.value);} \ template inline bool operator==(const native_type value, const X87DenormalSquasher& f) {return value == f.value;} \ template inline bool operator!=(const native_type value, const X87DenormalSquasher& f) {return value != f.value;} \ template inline bool operator<(const native_type value, const X87DenormalSquasher& f) {return value < f.value;} \ template inline bool operator<=(const native_type value, const X87DenormalSquasher& f) {return value <= f.value;} \ template inline bool operator>(const native_type value, const X87DenormalSquasher& f) {return value > f.value;} \ template inline bool operator>=(const native_type value, const X87DenormalSquasher& f) {return value >= f.value;} STREFLOP_X87DENORMAL_FLOAT_BINARY(float) STREFLOP_X87DENORMAL_FLOAT_BINARY(double) STREFLOP_X87DENORMAL_FLOAT_BINARY(long double) STREFLOP_X87DENORMAL_INT_BINARY(char) STREFLOP_X87DENORMAL_INT_BINARY(unsigned char) STREFLOP_X87DENORMAL_INT_BINARY(short) STREFLOP_X87DENORMAL_INT_BINARY(unsigned short) STREFLOP_X87DENORMAL_INT_BINARY(int) STREFLOP_X87DENORMAL_INT_BINARY(unsigned int) STREFLOP_X87DENORMAL_INT_BINARY(long) STREFLOP_X87DENORMAL_INT_BINARY(unsigned long) STREFLOP_X87DENORMAL_INT_BINARY(long long) STREFLOP_X87DENORMAL_INT_BINARY(unsigned long long) /// Unary operators template inline X87DenormalSquasher operator-(const X87DenormalSquasher& f) {return X87DenormalSquasher(-f.value);} template inline X87DenormalSquasher operator+(const X87DenormalSquasher& f) {return X87DenormalSquasher(+f.value);} /* /// Stream operators for output /// Warning! The SYSTEM operators are used to the normal floats and therefore /// this function may not be reliable (they may depend on system rounding mode, etc.) /// Still useful for debug output and to report results with a few significant digits template inline std::ostream& operator<<(std::ostream& out, const X87DenormalSquasher& f) { out << f.value; return out; } template inline std::istream& operator>>(std::istream& in, X87DenormalSquasher& f) { in >> f.value; return in; } */ #endif