/* Copyright (C) 2007 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 2, or (at your option) any later version. In addition to the permissions in the GNU General Public License, the Free Software Foundation gives you unlimited permission to link the compiled version of this file into combinations with other programs, and to distribute those combinations without any restriction coming from the use of this file. (The General Public License restrictions do apply in other respects; for example, they cover modification of the file, and distribution when not linked into a combine executable.) 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. You should have received a copy of the GNU General Public License along with GCC; see the file COPYING. If not, write to the Free Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */ #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); }