/* ----------------------------------------------------------------------------- * * (c) Lennart Augustsson * (c) The GHC Team, 1998-2000 * * Miscellaneous support for floating-point primitives * * ---------------------------------------------------------------------------*/ #include "PosixSource.h" #include "Rts.h" #include "StgPrimFloat.h" #include #include #define IEEE_FLOATING_POINT 1 /* * Encoding and decoding Doubles. Code based on the HBC code * (lib/fltcode.c). */ #if IEEE_FLOATING_POINT #define MY_DMINEXP ((DBL_MIN_EXP) - (DBL_MANT_DIG) - 1) /* DMINEXP is defined in values.h on Linux (for example) */ #define DHIGHBIT 0x00100000 #define DMSBIT 0x80000000 #define MY_FMINEXP ((FLT_MIN_EXP) - (FLT_MANT_DIG) - 1) #define FHIGHBIT 0x00800000 #define FMSBIT 0x80000000 #endif #if defined(WORDS_BIGENDIAN) || defined(FLOAT_WORDS_BIGENDIAN) #define L 1 #define H 0 #else #define L 0 #define H 1 #endif #define __abs(a) (( (a) >= 0 ) ? (a) : (-(a))) StgDouble __2Int_encodeDouble (I_ j_high, I_ j_low, I_ e) { StgDouble r; /* assuming 32 bit ints */ ASSERT(sizeof(int ) == 4 ); r = (StgDouble)((unsigned int)j_high); r *= 4294967296.0; /* exp2f(32); */ r += (StgDouble)((unsigned int)j_low); /* Now raise to the exponent */ if ( r != 0.0 ) /* Lennart suggests this avoids a bug in MIPS's ldexp */ r = ldexp(r, e); /* sign is encoded in the size */ if (j_high < 0) r = -r; return r; } /* Special version for words */ StgDouble __word_encodeDouble (W_ j, I_ e) { StgDouble r; r = (StgDouble)j; /* Now raise to the exponent */ if ( r != 0.0 ) /* Lennart suggests this avoids a bug in MIPS's ldexp */ r = ldexp(r, e); return r; } /* Special version for small Integers */ StgDouble __int_encodeDouble (I_ j, I_ e) { StgDouble r; r = (StgDouble)__abs(j); /* Now raise to the exponent */ if ( r != 0.0 ) /* Lennart suggests this avoids a bug in MIPS's ldexp */ r = ldexp(r, e); /* sign is encoded in the size */ if (j < 0) r = -r; return r; } /* Special version for small Integers */ StgFloat __int_encodeFloat (I_ j, I_ e) { StgFloat r; r = (StgFloat)__abs(j); /* Now raise to the exponent */ if ( r != 0.0 ) /* Lennart suggests this avoids a bug in MIPS's ldexp */ r = ldexp(r, e); /* sign is encoded in the size */ if (j < 0) r = -r; return r; } /* Special version for small positive Integers */ StgFloat __word_encodeFloat (W_ j, I_ e) { StgFloat r; r = (StgFloat)j; /* Now raise to the exponent */ if ( r != 0.0 ) /* Lennart suggests this avoids a bug in MIPS's ldexp */ r = ldexp(r, e); return r; } /* This only supports IEEE floating point */ void __decodeDouble_2Int (I_ *man_sign, W_ *man_high, W_ *man_low, I_ *exp, StgDouble dbl) { /* Do some bit fiddling on IEEE */ unsigned int low, high; /* assuming 32 bit ints */ int sign, iexp; union { double d; unsigned int i[2]; } u; /* assuming 32 bit ints, 64 bit double */ ASSERT(sizeof(unsigned int ) == 4 ); ASSERT(sizeof(dbl ) == 8 ); ASSERT(sizeof(dbl ) == SIZEOF_DOUBLE); u.d = dbl; /* grab chunks of the double */ low = u.i[L]; high = u.i[H]; if (low == 0 && (high & ~DMSBIT) == 0) { *man_low = 0; *man_high = 0; *exp = 0L; } else { iexp = ((high >> 20) & 0x7ff) + MY_DMINEXP; sign = high; high &= DHIGHBIT-1; if (iexp != MY_DMINEXP) /* don't add hidden bit to denorms */ high |= DHIGHBIT; else { iexp++; /* A denorm, normalize the mantissa */ while (! (high & DHIGHBIT)) { high <<= 1; if (low & DMSBIT) high++; low <<= 1; iexp--; } } *exp = (I_) iexp; *man_low = low; *man_high = high; *man_sign = (sign < 0) ? -1 : 1; } } /* Convenient union types for checking the layout of IEEE 754 types - based on defs in GNU libc */ void __decodeFloat_Int (I_ *man, I_ *exp, StgFloat flt) { /* Do some bit fiddling on IEEE */ int high, sign; /* assuming 32 bit ints */ union { float f; int i; } u; /* assuming 32 bit float and int */ ASSERT(sizeof(int ) == 4 ); ASSERT(sizeof(flt ) == 4 ); ASSERT(sizeof(flt ) == SIZEOF_FLOAT ); u.f = flt; /* grab the float */ high = u.i; if ((high & ~FMSBIT) == 0) { *man = 0; *exp = 0; } else { *exp = ((high >> 23) & 0xff) + MY_FMINEXP; sign = high; high &= FHIGHBIT-1; if (*exp != MY_FMINEXP) /* don't add hidden bit to denorms */ high |= FHIGHBIT; else { (*exp)++; /* A denorm, normalize the mantissa */ while (! (high & FHIGHBIT)) { high <<= 1; (*exp)--; } } *man = high; if (sign < 0) *man = - *man; } }