/* Software floating-point emulation. Convert a _BitInt to _Decimal64. Copyright (C) 2023 Free Software Foundation, Inc. This file is part of GCC. GCC 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 3, or (at your option) any later version. GCC 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. Under Section 7 of GPL version 3, you are granted additional permissions described in the GCC Runtime Library Exception, version 3.1, as published by the Free Software Foundation. You should have received a copy of the GNU General Public License and a copy of the GCC Runtime Library Exception along with this program; see the files COPYING3 and COPYING.RUNTIME respectively. If not, see . */ #include "soft-fp.h" #include "bitint.h" #ifdef __BITINT_MAXWIDTH__ extern _Decimal64 __bid_floatbitintdd (const UBILtype *, SItype); _Decimal64 __bid_floatbitintdd (const UBILtype *i, SItype iprec) { iprec = bitint_reduce_prec (&i, iprec); USItype aiprec = iprec < 0 ? -iprec : iprec; USItype in = (aiprec + BIL_TYPE_SIZE - 1) / BIL_TYPE_SIZE; USItype idx = BITINT_END (0, in - 1); UBILtype msb = i[idx]; UDItype mantissa; SItype exponent = 0; UBILtype inexact = 0; union { _Decimal64 d; UDItype u; } u, ui; if (aiprec % BIL_TYPE_SIZE) { if (iprec > 0) msb &= ((UBILtype) 1 << (aiprec % BIL_TYPE_SIZE)) - 1; else msb |= (UBILtype) -1 << (aiprec % BIL_TYPE_SIZE); } if (iprec < 0) { SItype n = sizeof (0ULL) * __CHAR_BIT__ + 1 - __builtin_clzll (~msb); aiprec = (in - 1) * BIL_TYPE_SIZE + n; } else if (msb == 0) aiprec = 1; else { SItype n = sizeof (0ULL) * __CHAR_BIT__ - __builtin_clzll (msb); aiprec = (in - 1) * BIL_TYPE_SIZE + n; } /* Number of bits in (_BitInt(2048)) 9999999999999999e+369DD. */ if (aiprec > 1279 + (iprec < 0)) { ovf: if (iprec < 0) u.d = -9000000000000000e+369DD; else u.d = 9000000000000000e+369DD; __asm ("" : "+g" (u.d)); u.d += u.d; __asm ("" : "+g" (u.d)); goto done; } /* Bit precision of 9999999999999999uwb. */ if (aiprec >= 54) { USItype pow10_limbs, q_limbs, q2_limbs, j; USItype exp_bits = 0, e; UDItype m; UBILtype *buf; /* First do a possibly large divide smaller enough such that we only need to check remainder for 0 or non-0 and then we'll do further division. */ if (aiprec >= 54 + 4 + 10) { exp_bits = (aiprec - 54 - 4) / 10; exponent = exp_bits * 3; /* Upper estimate for pow10 (exponent) bits. */ exp_bits = exp_bits * 10 - exp_bits / 30; } pow10_limbs = (exp_bits + BIL_TYPE_SIZE - 1) / BIL_TYPE_SIZE; /* 72 is the highest number of quotient bits needed on aiprec range of [68, 1279]. E.g. if aiprec is 1277, exponent will be 363 and exp_bits 1206. 1277 - 1206 + 1 is 72. Unfortunately that means the result doesn't fit into UDItype... */ q_limbs = (72 + BIL_TYPE_SIZE - 1) / BIL_TYPE_SIZE; q2_limbs = 64 / BIL_TYPE_SIZE; buf = __builtin_alloca ((q_limbs + pow10_limbs * 2 + q2_limbs + 2) * sizeof (UBILtype)); if (exponent) { __bid_pow10bitint (buf + q_limbs, exp_bits, exponent); __divmodbitint4 (buf, q_limbs * BIL_TYPE_SIZE, buf + q_limbs + pow10_limbs, pow10_limbs * BIL_TYPE_SIZE, i, iprec < 0 ? -aiprec : aiprec, buf + q_limbs, exp_bits); if (iprec < 0) bitint_negate (buf + BITINT_END (q_limbs - 1, 0), buf + BITINT_END (q_limbs - 1, 0), q_limbs); inexact = buf[q_limbs + pow10_limbs]; for (j = 1; j < pow10_limbs; ++j) inexact |= buf[q_limbs + pow10_limbs + j]; } else { __builtin_memcpy (buf + BITINT_END (q_limbs - in + 1, 0), i, (in - 1) * sizeof (UBILtype)); buf[BITINT_END (q_limbs - in, in - 1)] = msb; if (iprec < 0) bitint_negate (buf + BITINT_END (q_limbs - 1, 0), buf + BITINT_END (q_limbs - 1, 0), in); if (q_limbs > in) __builtin_memset (buf + BITINT_END (0, in), '\0', (q_limbs - in) * sizeof (UBILtype)); } e = 0; #if BIL_TYPE_SIZE == 64 m = buf[BITINT_END (1, 0)]; #elif BIL_TYPE_SIZE == 32 m = (UDItype) buf[1] << 32 | buf[BITINT_END (2, 0)]; #else # error Unsupported BIL_TYPE_SIZE #endif if (buf[BITINT_END (0, q_limbs - 1)]) { if (buf[BITINT_END (0, q_limbs - 1)] > 0x5) { /* 1000000000000000000000wb */ if (buf[BITINT_END (0, q_limbs - 1)] > 0x36 || (buf[BITINT_END (0, q_limbs - 1)] == 0x36 && m >= (UDItype) 0x35c9adc5dea00000)) e = 6; else e = 5; } /* 100000000000000000000wb */ else if (buf[BITINT_END (0, q_limbs - 1)] == 0x5 && m >= (UDItype) 0x6bc75e2d63100000) e = 5; else e = 4; } else if (m >= (UDItype) 1000000000000000000) { if (m >= (UDItype) 10000000000000000000ULL) e = 4; else e = 3; } else if (m >= (UDItype) 100000000000000000) e = 2; else if (m >= (UDItype) 10000000000000000) e = 1; exponent += e; if (exponent > 369) goto ovf; if (e) { UBILtype rem, half; __bid_pow10bitint (buf + q_limbs + pow10_limbs * 2, BIL_TYPE_SIZE, e); __divmodbitint4 (buf + q_limbs + pow10_limbs * 2 + 1, q2_limbs * BIL_TYPE_SIZE, buf + q_limbs + pow10_limbs * 2 + 1 + q2_limbs, BIL_TYPE_SIZE, buf, q_limbs * BIL_TYPE_SIZE, buf + q_limbs + pow10_limbs * 2, BIL_TYPE_SIZE); half = buf[q_limbs + pow10_limbs * 2] / 2; rem = buf[q_limbs + pow10_limbs * 2 + 1 + q2_limbs]; if (inexact) { /* If first division discovered some non-0 digits and this second division is by 10, e.g. for XXXXXX5499999999999 or XXXXXX5000000000001 if first division is by 10^12 and second by 10^1, doing rem |= 1 wouldn't change the 5. Similarly for rem 4 doing rem |= 1 would change it to 5, but we don't want to change it in that case. */ if (e == 1) { if (rem == 5) rem = 6; else if (rem != 4) rem |= 1; } else rem |= 1; } /* Set inexact to 0, 1, 2, 3 depending on if remainder of the divisions is exact 0, smaller than 10^exponent / 2, exactly 10^exponent / 2 or greater than that. */ if (rem >= half) inexact = 2 + (rem > half); else inexact = (rem != 0); #if BIL_TYPE_SIZE == 64 mantissa = buf[q_limbs + pow10_limbs * 2 + 1]; #else mantissa = ((UDItype) buf[q_limbs + pow10_limbs * 2 + 1 + BITINT_END (0, 1)] << 32 | buf[q_limbs + pow10_limbs * 2 + 1 + BITINT_END (1, 0)]); #endif } else #if BIL_TYPE_SIZE == 64 mantissa = buf[BITINT_END (1, 0)]; #else mantissa = (UDItype) buf[1] << 32 | buf[BITINT_END (2, 0)]; #endif } else { #if BIL_TYPE_SIZE == 64 mantissa = msb; #else if (in == 1) mantissa = iprec < 0 ? (UDItype) (BILtype) msb : (UDItype) msb; else mantissa = (UDItype) msb << 32 | i[BITINT_END (1, 0)]; #endif if (iprec < 0) mantissa = -mantissa; } exponent += 398; if (mantissa >= (UDItype) 0x20000000000000) u.u = (((((iprec < 0) << 2) | (UDItype) 3) << 61) | (((UDItype) exponent) << 51) | (mantissa ^ (UDItype) 0x20000000000000)); else u.u = ((((UDItype) (iprec < 0)) << 63) | (((UDItype) exponent) << 53) | mantissa); if (inexact) { ui.u = ((((UDItype) (iprec < 0)) << 63) | (((UDItype) (exponent - 1)) << 53) | (inexact + 3)); __asm ("" : "+g" (u.d)); __asm ("" : "+g" (ui.d)); u.d += ui.d; __asm ("" : "+g" (u.d)); } done: return u.d; } #endif