/* Copyright (C) 2007-2019 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 . */ #define BID_128RES #include "bid_internal.h" BID128_FUNCTION_ARG2 (bid128_quantize, x, y) UINT256 CT; UINT128 CX, CY, T, CX2, CR, Stemp, res, REM_H, C2N; UINT64 sign_x, sign_y, remainder_h, carry, CY64, valid_x; int_float tempx; int exponent_x, exponent_y, digits_x, extra_digits, amount; int expon_diff, total_digits, bin_expon_cx, rmode, status; valid_x = unpack_BID128_value (&sign_x, &exponent_x, &CX, x); // unpack arguments, check for NaN or Infinity if (!unpack_BID128_value (&sign_y, &exponent_y, &CY, y)) { // y is Inf. or NaN #ifdef SET_STATUS_FLAGS if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN __set_status_flags (pfpsf, INVALID_EXCEPTION); #endif // test if y is NaN if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { #ifdef SET_STATUS_FLAGS if ((y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) { // set status flags __set_status_flags (pfpsf, INVALID_EXCEPTION); } #endif if ((x.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull) { res.w[1] = CY.w[1] & QUIET_MASK64; res.w[0] = CY.w[0]; } else { res.w[1] = CX.w[1] & QUIET_MASK64; res.w[0] = CX.w[0]; } BID_RETURN (res); } // y is Infinity? if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { // check if x is not Inf. if (((x.w[1] & 0x7c00000000000000ull) < 0x7800000000000000ull)) { // return NaN #ifdef SET_STATUS_FLAGS // set status flags __set_status_flags (pfpsf, INVALID_EXCEPTION); #endif res.w[1] = 0x7c00000000000000ull; res.w[0] = 0; BID_RETURN (res); } else if (((x.w[1] & 0x7c00000000000000ull) <= 0x7800000000000000ull)) { res.w[1] = CX.w[1] & QUIET_MASK64; res.w[0] = CX.w[0]; BID_RETURN (res); } } } if (!valid_x) { // test if x is NaN or Inf if ((x.w[1] & 0x7c00000000000000ull) == 0x7800000000000000ull) { #ifdef SET_STATUS_FLAGS // set status flags __set_status_flags (pfpsf, INVALID_EXCEPTION); #endif res.w[1] = 0x7c00000000000000ull; res.w[0] = 0; BID_RETURN (res); } else if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) { #ifdef SET_STATUS_FLAGS // set status flags __set_status_flags (pfpsf, INVALID_EXCEPTION); #endif } res.w[1] = CX.w[1] & QUIET_MASK64; res.w[0] = CX.w[0]; BID_RETURN (res); } if (!CX.w[1] && !CX.w[0]) { get_BID128_very_fast (&res, sign_x, exponent_y, CX); BID_RETURN (res); } } // get number of decimal digits in coefficient_x if (CX.w[1]) { tempx.d = (float) CX.w[1]; bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f + 64; } else { tempx.d = (float) CX.w[0]; bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f; } digits_x = estimate_decimal_digits[bin_expon_cx]; if (CX.w[1] > power10_table_128[digits_x].w[1] || (CX.w[1] == power10_table_128[digits_x].w[1] && CX.w[0] >= power10_table_128[digits_x].w[0])) digits_x++; expon_diff = exponent_x - exponent_y; total_digits = digits_x + expon_diff; if ((UINT32) total_digits <= 34) { if (expon_diff >= 0) { T = power10_table_128[expon_diff]; __mul_128x128_low (CX2, T, CX); get_BID128_very_fast (&res, sign_x, exponent_y, CX2); BID_RETURN (res); } #ifndef IEEE_ROUND_NEAREST_TIES_AWAY #ifndef IEEE_ROUND_NEAREST rmode = rnd_mode; if (sign_x && (unsigned) (rmode - 1) < 2) rmode = 3 - rmode; #else rmode = 0; #endif #else rmode = 0; #endif // must round off -expon_diff digits extra_digits = -expon_diff; __add_128_128 (CX, CX, round_const_table_128[rmode][extra_digits]); // get P*(2^M[extra_digits])/10^extra_digits __mul_128x128_to_256 (CT, CX, reciprocals10_128[extra_digits]); // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 amount = recip_scale[extra_digits]; CX2.w[0] = CT.w[2]; CX2.w[1] = CT.w[3]; if (amount >= 64) { CR.w[1] = 0; CR.w[0] = CX2.w[1] >> (amount - 64); } else { __shr_128 (CR, CX2, amount); } #ifndef IEEE_ROUND_NEAREST_TIES_AWAY #ifndef IEEE_ROUND_NEAREST if (rnd_mode == 0) #endif if (CR.w[0] & 1) { // check whether fractional part of initial_P/10^extra_digits is // exactly .5 this is the same as fractional part of // (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero // get remainder if (amount >= 64) { remainder_h = CX2.w[0] | (CX2.w[1] << (128 - amount)); } else remainder_h = CX2.w[0] << (64 - amount); // test whether fractional part is 0 if (!remainder_h && (CT.w[1] < reciprocals10_128[extra_digits].w[1] || (CT.w[1] == reciprocals10_128[extra_digits].w[1] && CT.w[0] < reciprocals10_128[extra_digits].w[0]))) { CR.w[0]--; } } #endif #ifdef SET_STATUS_FLAGS status = INEXACT_EXCEPTION; // get remainder if (amount >= 64) { REM_H.w[1] = (CX2.w[1] << (128 - amount)); REM_H.w[0] = CX2.w[0]; } else { REM_H.w[1] = CX2.w[0] << (64 - amount); REM_H.w[0] = 0; } switch (rmode) { case ROUNDING_TO_NEAREST: case ROUNDING_TIES_AWAY: // test whether fractional part is 0 if (REM_H.w[1] == 0x8000000000000000ull && !REM_H.w[0] && (CT.w[1] < reciprocals10_128[extra_digits].w[1] || (CT.w[1] == reciprocals10_128[extra_digits].w[1] && CT.w[0] < reciprocals10_128[extra_digits].w[0]))) status = EXACT_STATUS; break; case ROUNDING_DOWN: case ROUNDING_TO_ZERO: if (!(REM_H.w[1] | REM_H.w[0]) && (CT.w[1] < reciprocals10_128[extra_digits].w[1] || (CT.w[1] == reciprocals10_128[extra_digits].w[1] && CT.w[0] < reciprocals10_128[extra_digits].w[0]))) status = EXACT_STATUS; break; default: // round up __add_carry_out (Stemp.w[0], CY64, CT.w[0], reciprocals10_128[extra_digits].w[0]); __add_carry_in_out (Stemp.w[1], carry, CT.w[1], reciprocals10_128[extra_digits].w[1], CY64); if (amount < 64) { C2N.w[1] = 0; C2N.w[0] = ((UINT64) 1) << amount; REM_H.w[0] = REM_H.w[1] >> (64 - amount); REM_H.w[1] = 0; } else { C2N.w[1] = ((UINT64) 1) << (amount - 64); C2N.w[0] = 0; REM_H.w[1] >>= (128 - amount); } REM_H.w[0] += carry; if (REM_H.w[0] < carry) REM_H.w[1]++; if (__unsigned_compare_ge_128 (REM_H, C2N)) status = EXACT_STATUS; } __set_status_flags (pfpsf, status); #endif get_BID128_very_fast (&res, sign_x, exponent_y, CR); BID_RETURN (res); } if (total_digits < 0) { CR.w[1] = CR.w[0] = 0; #ifndef IEEE_ROUND_NEAREST_TIES_AWAY #ifndef IEEE_ROUND_NEAREST rmode = rnd_mode; if (sign_x && (unsigned) (rmode - 1) < 2) rmode = 3 - rmode; if (rmode == ROUNDING_UP) CR.w[0] = 1; #endif #endif #ifdef SET_STATUS_FLAGS __set_status_flags (pfpsf, INEXACT_EXCEPTION); #endif get_BID128_very_fast (&res, sign_x, exponent_y, CR); BID_RETURN (res); } // else more than 34 digits in coefficient #ifdef SET_STATUS_FLAGS __set_status_flags (pfpsf, INVALID_EXCEPTION); #endif res.w[1] = 0x7c00000000000000ull; res.w[0] = 0; BID_RETURN (res); }