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7adcbafe 1/* Copyright (C) 2007-2022 Free Software Foundation, Inc.
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2
3This file is part of GCC.
4
5GCC is free software; you can redistribute it and/or modify it under
6the terms of the GNU General Public License as published by the Free
748086b7 7Software Foundation; either version 3, or (at your option) any later
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8version.
9
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10GCC is distributed in the hope that it will be useful, but WITHOUT ANY
11WARRANTY; without even the implied warranty of MERCHANTABILITY or
12FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
13for more details.
14
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15Under Section 7 of GPL version 3, you are granted additional
16permissions described in the GCC Runtime Library Exception, version
173.1, as published by the Free Software Foundation.
18
19You should have received a copy of the GNU General Public License and
20a copy of the GCC Runtime Library Exception along with this program;
21see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
22<http://www.gnu.org/licenses/>. */
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23
24#include "bid_internal.h"
25
26#define MAX_FORMAT_DIGITS 16
27#define DECIMAL_EXPONENT_BIAS 398
28#define MAX_DECIMAL_EXPONENT 767
29
30#if DECIMAL_CALL_BY_REFERENCE
31
32void
b2a00c89 33bid64_quantize (UINT64 * pres, UINT64 * px,
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34 UINT64 *
35 py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
36 _EXC_INFO_PARAM) {
37 UINT64 x, y;
38#else
39
40UINT64
b2a00c89 41bid64_quantize (UINT64 x,
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42 UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM
43 _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
44#endif
45 UINT128 CT;
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46 UINT64 sign_x, sign_y, coefficient_x, coefficient_y, remainder_h, C64,
47 valid_x;
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48 UINT64 tmp, carry, res;
49 int_float tempx;
b2a00c89 50 int exponent_x, exponent_y, digits_x, extra_digits, amount, amount2;
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51 int expon_diff, total_digits, bin_expon_cx;
52 unsigned rmode, status;
53
54#if DECIMAL_CALL_BY_REFERENCE
55#if !DECIMAL_GLOBAL_ROUNDING
56 _IDEC_round rnd_mode = *prnd_mode;
57#endif
58 x = *px;
59 y = *py;
60#endif
61
b2a00c89 62 valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x);
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63 // unpack arguments, check for NaN or Infinity
64 if (!unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y)) {
65 // Inf. or NaN or 0
66#ifdef SET_STATUS_FLAGS
67 if ((x & SNAN_MASK64) == SNAN_MASK64) // y is sNaN
68 __set_status_flags (pfpsf, INVALID_EXCEPTION);
69#endif
70
71 // x=Inf, y=Inf?
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72 if (((coefficient_x << 1) == 0xf000000000000000ull)
73 && ((coefficient_y << 1) == 0xf000000000000000ull)) {
74 res = coefficient_x;
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75 BID_RETURN (res);
76 }
77 // Inf or NaN?
78 if ((y & 0x7800000000000000ull) == 0x7800000000000000ull) {
79#ifdef SET_STATUS_FLAGS
80 if (((y & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
81 || (((y & 0x7c00000000000000ull) == 0x7800000000000000ull) && //Inf
82 ((x & 0x7c00000000000000ull) < 0x7800000000000000ull)))
83 __set_status_flags (pfpsf, INVALID_EXCEPTION);
84#endif
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85 if ((y & NAN_MASK64) != NAN_MASK64)
86 coefficient_y = 0;
87 if ((x & NAN_MASK64) != NAN_MASK64) {
88 res = 0x7c00000000000000ull | (coefficient_y & QUIET_MASK64);
89 if (((y & NAN_MASK64) != NAN_MASK64) && ((x & NAN_MASK64) == 0x7800000000000000ull))
90 res = x;
91 BID_RETURN (res);
92 }
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93 }
94 }
95 // unpack arguments, check for NaN or Infinity
b2a00c89 96 if (!valid_x) {
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97 // x is Inf. or NaN or 0
98
99 // Inf or NaN?
100 if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) {
101#ifdef SET_STATUS_FLAGS
102 if (((x & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN
103 || ((x & 0x7c00000000000000ull) == 0x7800000000000000ull)) //Inf
104 __set_status_flags (pfpsf, INVALID_EXCEPTION);
105#endif
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106 if ((x & NAN_MASK64) != NAN_MASK64)
107 coefficient_x = 0;
108 res = 0x7c00000000000000ull | (coefficient_x & QUIET_MASK64);
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109 BID_RETURN (res);
110 }
111
112 res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, 0);
113 BID_RETURN (res);
114 }
115 // get number of decimal digits in coefficient_x
116 tempx.d = (float) coefficient_x;
117 bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f;
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118 digits_x = estimate_decimal_digits[bin_expon_cx];
119 if (coefficient_x >= power10_table_128[digits_x].w[0])
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120 digits_x++;
121
122 expon_diff = exponent_x - exponent_y;
123 total_digits = digits_x + expon_diff;
124
125 // check range of scaled coefficient
126 if ((UINT32) (total_digits + 1) <= 17) {
127 if (expon_diff >= 0) {
b2a00c89 128 coefficient_x *= power10_table_128[expon_diff].w[0];
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129 res = very_fast_get_BID64 (sign_x, exponent_y, coefficient_x);
130 BID_RETURN (res);
131 }
132 // must round off -expon_diff digits
133 extra_digits = -expon_diff;
134#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
135#ifndef IEEE_ROUND_NEAREST
136 rmode = rnd_mode;
137 if (sign_x && (unsigned) (rmode - 1) < 2)
138 rmode = 3 - rmode;
139#else
140 rmode = 0;
141#endif
142#else
143 rmode = 0;
144#endif
b2a00c89 145 coefficient_x += round_const_table[rmode][extra_digits];
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146
147 // get P*(2^M[extra_digits])/10^extra_digits
148 __mul_64x64_to_128 (CT, coefficient_x,
b2a00c89 149 reciprocals10_64[extra_digits]);
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150
151 // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128
b2a00c89 152 amount = short_recip_scale[extra_digits];
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153 C64 = CT.w[1] >> amount;
154#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
155#ifndef IEEE_ROUND_NEAREST
156 if (rnd_mode == 0)
157#endif
158 if (C64 & 1) {
159 // check whether fractional part of initial_P/10^extra_digits
b2a00c89 160 // is exactly .5
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161 // this is the same as fractional part of
162 // (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero
163
164 // get remainder
165 amount2 = 64 - amount;
166 remainder_h = 0;
167 remainder_h--;
168 remainder_h >>= amount2;
169 remainder_h = remainder_h & CT.w[1];
170
171 // test whether fractional part is 0
b2a00c89 172 if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) {
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173 C64--;
174 }
175 }
176#endif
177
178#ifdef SET_STATUS_FLAGS
179 status = INEXACT_EXCEPTION;
180 // get remainder
181 remainder_h = CT.w[1] << (64 - amount);
182 switch (rmode) {
183 case ROUNDING_TO_NEAREST:
184 case ROUNDING_TIES_AWAY:
185 // test whether fractional part is 0
186 if ((remainder_h == 0x8000000000000000ull)
b2a00c89 187 && (CT.w[0] < reciprocals10_64[extra_digits]))
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188 status = EXACT_STATUS;
189 break;
190 case ROUNDING_DOWN:
191 case ROUNDING_TO_ZERO:
b2a00c89 192 if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits]))
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193 status = EXACT_STATUS;
194 //if(!C64 && rmode==ROUNDING_DOWN) sign_s=sign_y;
195 break;
196 default:
197 // round up
198 __add_carry_out (tmp, carry, CT.w[0],
b2a00c89 199 reciprocals10_64[extra_digits]);
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200 if ((remainder_h >> (64 - amount)) + carry >=
201 (((UINT64) 1) << amount))
202 status = EXACT_STATUS;
203 break;
204 }
205 __set_status_flags (pfpsf, status);
206#endif
207
208 res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64);
209 BID_RETURN (res);
210 }
211
212 if (total_digits < 0) {
213#ifdef SET_STATUS_FLAGS
214 __set_status_flags (pfpsf, INEXACT_EXCEPTION);
215#endif
216 C64 = 0;
217#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
218#ifndef IEEE_ROUND_NEAREST
219 rmode = rnd_mode;
220 if (sign_x && (unsigned) (rmode - 1) < 2)
221 rmode = 3 - rmode;
222 if (rmode == ROUNDING_UP)
223 C64 = 1;
224#endif
225#endif
226 res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64);
227 BID_RETURN (res);
228 }
229 // else more than 16 digits in coefficient
230#ifdef SET_STATUS_FLAGS
231 __set_status_flags (pfpsf, INVALID_EXCEPTION);
232#endif
233 res = 0x7c00000000000000ull;
234 BID_RETURN (res);
235
236}