| 1 |
272 |
jeremybenn |
/* Copyright (C) 2007, 2009 Free Software Foundation, Inc.
|
| 2 |
|
|
|
| 3 |
|
|
This file is part of GCC.
|
| 4 |
|
|
|
| 5 |
|
|
GCC is free software; you can redistribute it and/or modify it under
|
| 6 |
|
|
the terms of the GNU General Public License as published by the Free
|
| 7 |
|
|
Software Foundation; either version 3, or (at your option) any later
|
| 8 |
|
|
version.
|
| 9 |
|
|
|
| 10 |
|
|
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
|
| 11 |
|
|
WARRANTY; without even the implied warranty of MERCHANTABILITY or
|
| 12 |
|
|
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
|
| 13 |
|
|
for more details.
|
| 14 |
|
|
|
| 15 |
|
|
Under Section 7 of GPL version 3, you are granted additional
|
| 16 |
|
|
permissions described in the GCC Runtime Library Exception, version
|
| 17 |
|
|
3.1, as published by the Free Software Foundation.
|
| 18 |
|
|
|
| 19 |
|
|
You should have received a copy of the GNU General Public License and
|
| 20 |
|
|
a copy of the GCC Runtime Library Exception along with this program;
|
| 21 |
|
|
see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
|
| 22 |
|
|
<http://www.gnu.org/licenses/>. */
|
| 23 |
|
|
|
| 24 |
|
|
#define BID_128RES
|
| 25 |
|
|
#include "bid_internal.h"
|
| 26 |
|
|
|
| 27 |
|
|
BID128_FUNCTION_ARG2 (bid128_quantize, x, y)
|
| 28 |
|
|
|
| 29 |
|
|
UINT256 CT;
|
| 30 |
|
|
UINT128 CX, CY, T, CX2, CR, Stemp, res, REM_H, C2N;
|
| 31 |
|
|
UINT64 sign_x, sign_y, remainder_h, carry, CY64, valid_x;
|
| 32 |
|
|
int_float tempx;
|
| 33 |
|
|
int exponent_x, exponent_y, digits_x, extra_digits, amount;
|
| 34 |
|
|
int expon_diff, total_digits, bin_expon_cx, rmode, status;
|
| 35 |
|
|
|
| 36 |
|
|
valid_x = unpack_BID128_value (&sign_x, &exponent_x, &CX, x);
|
| 37 |
|
|
|
| 38 |
|
|
// unpack arguments, check for NaN or Infinity
|
| 39 |
|
|
if (!unpack_BID128_value (&sign_y, &exponent_y, &CY, y)) {
|
| 40 |
|
|
// y is Inf. or NaN
|
| 41 |
|
|
#ifdef SET_STATUS_FLAGS
|
| 42 |
|
|
if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
|
| 43 |
|
|
__set_status_flags (pfpsf, INVALID_EXCEPTION);
|
| 44 |
|
|
#endif
|
| 45 |
|
|
|
| 46 |
|
|
// test if y is NaN
|
| 47 |
|
|
if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
|
| 48 |
|
|
#ifdef SET_STATUS_FLAGS
|
| 49 |
|
|
if ((y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) {
|
| 50 |
|
|
// set status flags
|
| 51 |
|
|
__set_status_flags (pfpsf, INVALID_EXCEPTION);
|
| 52 |
|
|
}
|
| 53 |
|
|
#endif
|
| 54 |
|
|
if ((x.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull) {
|
| 55 |
|
|
res.w[1] = CY.w[1] & QUIET_MASK64;
|
| 56 |
|
|
res.w[0] = CY.w[0];
|
| 57 |
|
|
} else {
|
| 58 |
|
|
res.w[1] = CX.w[1] & QUIET_MASK64;
|
| 59 |
|
|
res.w[0] = CX.w[0];
|
| 60 |
|
|
}
|
| 61 |
|
|
BID_RETURN (res);
|
| 62 |
|
|
}
|
| 63 |
|
|
// y is Infinity?
|
| 64 |
|
|
if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) {
|
| 65 |
|
|
// check if x is not Inf.
|
| 66 |
|
|
if (((x.w[1] & 0x7c00000000000000ull) < 0x7800000000000000ull)) {
|
| 67 |
|
|
// return NaN
|
| 68 |
|
|
#ifdef SET_STATUS_FLAGS
|
| 69 |
|
|
// set status flags
|
| 70 |
|
|
__set_status_flags (pfpsf, INVALID_EXCEPTION);
|
| 71 |
|
|
#endif
|
| 72 |
|
|
res.w[1] = 0x7c00000000000000ull;
|
| 73 |
|
|
res.w[0] = 0;
|
| 74 |
|
|
BID_RETURN (res);
|
| 75 |
|
|
} else
|
| 76 |
|
|
if (((x.w[1] & 0x7c00000000000000ull) <= 0x7800000000000000ull)) {
|
| 77 |
|
|
res.w[1] = CX.w[1] & QUIET_MASK64;
|
| 78 |
|
|
res.w[0] = CX.w[0];
|
| 79 |
|
|
BID_RETURN (res);
|
| 80 |
|
|
}
|
| 81 |
|
|
}
|
| 82 |
|
|
|
| 83 |
|
|
}
|
| 84 |
|
|
|
| 85 |
|
|
if (!valid_x) {
|
| 86 |
|
|
// test if x is NaN or Inf
|
| 87 |
|
|
if ((x.w[1] & 0x7c00000000000000ull) == 0x7800000000000000ull) {
|
| 88 |
|
|
#ifdef SET_STATUS_FLAGS
|
| 89 |
|
|
// set status flags
|
| 90 |
|
|
__set_status_flags (pfpsf, INVALID_EXCEPTION);
|
| 91 |
|
|
#endif
|
| 92 |
|
|
res.w[1] = 0x7c00000000000000ull;
|
| 93 |
|
|
res.w[0] = 0;
|
| 94 |
|
|
BID_RETURN (res);
|
| 95 |
|
|
} else if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
|
| 96 |
|
|
if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) {
|
| 97 |
|
|
#ifdef SET_STATUS_FLAGS
|
| 98 |
|
|
// set status flags
|
| 99 |
|
|
__set_status_flags (pfpsf, INVALID_EXCEPTION);
|
| 100 |
|
|
#endif
|
| 101 |
|
|
}
|
| 102 |
|
|
res.w[1] = CX.w[1] & QUIET_MASK64;
|
| 103 |
|
|
res.w[0] = CX.w[0];
|
| 104 |
|
|
BID_RETURN (res);
|
| 105 |
|
|
}
|
| 106 |
|
|
if (!CX.w[1] && !CX.w[0]) {
|
| 107 |
|
|
get_BID128_very_fast (&res, sign_x, exponent_y, CX);
|
| 108 |
|
|
BID_RETURN (res);
|
| 109 |
|
|
}
|
| 110 |
|
|
}
|
| 111 |
|
|
// get number of decimal digits in coefficient_x
|
| 112 |
|
|
if (CX.w[1]) {
|
| 113 |
|
|
tempx.d = (float) CX.w[1];
|
| 114 |
|
|
bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f + 64;
|
| 115 |
|
|
} else {
|
| 116 |
|
|
tempx.d = (float) CX.w[0];
|
| 117 |
|
|
bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f;
|
| 118 |
|
|
}
|
| 119 |
|
|
|
| 120 |
|
|
digits_x = estimate_decimal_digits[bin_expon_cx];
|
| 121 |
|
|
if (CX.w[1] > power10_table_128[digits_x].w[1]
|
| 122 |
|
|
|| (CX.w[1] == power10_table_128[digits_x].w[1]
|
| 123 |
|
|
&& CX.w[0] >= power10_table_128[digits_x].w[0]))
|
| 124 |
|
|
digits_x++;
|
| 125 |
|
|
|
| 126 |
|
|
expon_diff = exponent_x - exponent_y;
|
| 127 |
|
|
total_digits = digits_x + expon_diff;
|
| 128 |
|
|
|
| 129 |
|
|
if ((UINT32) total_digits <= 34) {
|
| 130 |
|
|
if (expon_diff >= 0) {
|
| 131 |
|
|
T = power10_table_128[expon_diff];
|
| 132 |
|
|
__mul_128x128_low (CX2, T, CX);
|
| 133 |
|
|
get_BID128_very_fast (&res, sign_x, exponent_y, CX2);
|
| 134 |
|
|
BID_RETURN (res);
|
| 135 |
|
|
}
|
| 136 |
|
|
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
|
| 137 |
|
|
#ifndef IEEE_ROUND_NEAREST
|
| 138 |
|
|
rmode = rnd_mode;
|
| 139 |
|
|
if (sign_x && (unsigned) (rmode - 1) < 2)
|
| 140 |
|
|
rmode = 3 - rmode;
|
| 141 |
|
|
#else
|
| 142 |
|
|
rmode = 0;
|
| 143 |
|
|
#endif
|
| 144 |
|
|
#else
|
| 145 |
|
|
rmode = 0;
|
| 146 |
|
|
#endif
|
| 147 |
|
|
// must round off -expon_diff digits
|
| 148 |
|
|
extra_digits = -expon_diff;
|
| 149 |
|
|
__add_128_128 (CX, CX, round_const_table_128[rmode][extra_digits]);
|
| 150 |
|
|
|
| 151 |
|
|
// get P*(2^M[extra_digits])/10^extra_digits
|
| 152 |
|
|
__mul_128x128_to_256 (CT, CX, reciprocals10_128[extra_digits]);
|
| 153 |
|
|
|
| 154 |
|
|
// now get P/10^extra_digits: shift C64 right by M[extra_digits]-128
|
| 155 |
|
|
amount = recip_scale[extra_digits];
|
| 156 |
|
|
CX2.w[0] = CT.w[2];
|
| 157 |
|
|
CX2.w[1] = CT.w[3];
|
| 158 |
|
|
if (amount >= 64) {
|
| 159 |
|
|
CR.w[1] = 0;
|
| 160 |
|
|
CR.w[0] = CX2.w[1] >> (amount - 64);
|
| 161 |
|
|
} else {
|
| 162 |
|
|
__shr_128 (CR, CX2, amount);
|
| 163 |
|
|
}
|
| 164 |
|
|
|
| 165 |
|
|
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
|
| 166 |
|
|
#ifndef IEEE_ROUND_NEAREST
|
| 167 |
|
|
if (rnd_mode == 0)
|
| 168 |
|
|
#endif
|
| 169 |
|
|
if (CR.w[0] & 1) {
|
| 170 |
|
|
// check whether fractional part of initial_P/10^extra_digits is
|
| 171 |
|
|
// exactly .5 this is the same as fractional part of
|
| 172 |
|
|
// (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero
|
| 173 |
|
|
|
| 174 |
|
|
// get remainder
|
| 175 |
|
|
if (amount >= 64) {
|
| 176 |
|
|
remainder_h = CX2.w[0] | (CX2.w[1] << (128 - amount));
|
| 177 |
|
|
} else
|
| 178 |
|
|
remainder_h = CX2.w[0] << (64 - amount);
|
| 179 |
|
|
|
| 180 |
|
|
// test whether fractional part is 0
|
| 181 |
|
|
if (!remainder_h
|
| 182 |
|
|
&& (CT.w[1] < reciprocals10_128[extra_digits].w[1]
|
| 183 |
|
|
|| (CT.w[1] == reciprocals10_128[extra_digits].w[1]
|
| 184 |
|
|
&& CT.w[0] < reciprocals10_128[extra_digits].w[0]))) {
|
| 185 |
|
|
CR.w[0]--;
|
| 186 |
|
|
}
|
| 187 |
|
|
}
|
| 188 |
|
|
#endif
|
| 189 |
|
|
|
| 190 |
|
|
#ifdef SET_STATUS_FLAGS
|
| 191 |
|
|
status = INEXACT_EXCEPTION;
|
| 192 |
|
|
|
| 193 |
|
|
// get remainder
|
| 194 |
|
|
if (amount >= 64) {
|
| 195 |
|
|
REM_H.w[1] = (CX2.w[1] << (128 - amount));
|
| 196 |
|
|
REM_H.w[0] = CX2.w[0];
|
| 197 |
|
|
} else {
|
| 198 |
|
|
REM_H.w[1] = CX2.w[0] << (64 - amount);
|
| 199 |
|
|
REM_H.w[0] = 0;
|
| 200 |
|
|
}
|
| 201 |
|
|
|
| 202 |
|
|
switch (rmode) {
|
| 203 |
|
|
case ROUNDING_TO_NEAREST:
|
| 204 |
|
|
case ROUNDING_TIES_AWAY:
|
| 205 |
|
|
// test whether fractional part is 0
|
| 206 |
|
|
if (REM_H.w[1] == 0x8000000000000000ull && !REM_H.w[0]
|
| 207 |
|
|
&& (CT.w[1] < reciprocals10_128[extra_digits].w[1]
|
| 208 |
|
|
|| (CT.w[1] == reciprocals10_128[extra_digits].w[1]
|
| 209 |
|
|
&& CT.w[0] < reciprocals10_128[extra_digits].w[0])))
|
| 210 |
|
|
status = EXACT_STATUS;
|
| 211 |
|
|
break;
|
| 212 |
|
|
case ROUNDING_DOWN:
|
| 213 |
|
|
case ROUNDING_TO_ZERO:
|
| 214 |
|
|
if (!(REM_H.w[1] | REM_H.w[0])
|
| 215 |
|
|
&& (CT.w[1] < reciprocals10_128[extra_digits].w[1]
|
| 216 |
|
|
|| (CT.w[1] == reciprocals10_128[extra_digits].w[1]
|
| 217 |
|
|
&& CT.w[0] < reciprocals10_128[extra_digits].w[0])))
|
| 218 |
|
|
status = EXACT_STATUS;
|
| 219 |
|
|
break;
|
| 220 |
|
|
default:
|
| 221 |
|
|
// round up
|
| 222 |
|
|
__add_carry_out (Stemp.w[0], CY64, CT.w[0],
|
| 223 |
|
|
reciprocals10_128[extra_digits].w[0]);
|
| 224 |
|
|
__add_carry_in_out (Stemp.w[1], carry, CT.w[1],
|
| 225 |
|
|
reciprocals10_128[extra_digits].w[1], CY64);
|
| 226 |
|
|
if (amount < 64) {
|
| 227 |
|
|
C2N.w[1] = 0;
|
| 228 |
|
|
C2N.w[0] = ((UINT64) 1) << amount;
|
| 229 |
|
|
REM_H.w[0] = REM_H.w[1] >> (64 - amount);
|
| 230 |
|
|
REM_H.w[1] = 0;
|
| 231 |
|
|
} else {
|
| 232 |
|
|
C2N.w[1] = ((UINT64) 1) << (amount - 64);
|
| 233 |
|
|
C2N.w[0] = 0;
|
| 234 |
|
|
REM_H.w[1] >>= (128 - amount);
|
| 235 |
|
|
}
|
| 236 |
|
|
REM_H.w[0] += carry;
|
| 237 |
|
|
if (REM_H.w[0] < carry)
|
| 238 |
|
|
REM_H.w[1]++;
|
| 239 |
|
|
if (__unsigned_compare_ge_128 (REM_H, C2N))
|
| 240 |
|
|
status = EXACT_STATUS;
|
| 241 |
|
|
}
|
| 242 |
|
|
|
| 243 |
|
|
__set_status_flags (pfpsf, status);
|
| 244 |
|
|
|
| 245 |
|
|
#endif
|
| 246 |
|
|
get_BID128_very_fast (&res, sign_x, exponent_y, CR);
|
| 247 |
|
|
BID_RETURN (res);
|
| 248 |
|
|
}
|
| 249 |
|
|
if (total_digits < 0) {
|
| 250 |
|
|
CR.w[1] = CR.w[0] = 0;
|
| 251 |
|
|
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
|
| 252 |
|
|
#ifndef IEEE_ROUND_NEAREST
|
| 253 |
|
|
rmode = rnd_mode;
|
| 254 |
|
|
if (sign_x && (unsigned) (rmode - 1) < 2)
|
| 255 |
|
|
rmode = 3 - rmode;
|
| 256 |
|
|
if (rmode == ROUNDING_UP)
|
| 257 |
|
|
CR.w[0] = 1;
|
| 258 |
|
|
#endif
|
| 259 |
|
|
#endif
|
| 260 |
|
|
#ifdef SET_STATUS_FLAGS
|
| 261 |
|
|
__set_status_flags (pfpsf, INEXACT_EXCEPTION);
|
| 262 |
|
|
#endif
|
| 263 |
|
|
get_BID128_very_fast (&res, sign_x, exponent_y, CR);
|
| 264 |
|
|
BID_RETURN (res);
|
| 265 |
|
|
}
|
| 266 |
|
|
// else more than 34 digits in coefficient
|
| 267 |
|
|
#ifdef SET_STATUS_FLAGS
|
| 268 |
|
|
__set_status_flags (pfpsf, INVALID_EXCEPTION);
|
| 269 |
|
|
#endif
|
| 270 |
|
|
res.w[1] = 0x7c00000000000000ull;
|
| 271 |
|
|
res.w[0] = 0;
|
| 272 |
|
|
BID_RETURN (res);
|
| 273 |
|
|
|
| 274 |
|
|
}
|
