717 lines
17 KiB
C
717 lines
17 KiB
C
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/* Decimal floating point support.
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Copyright (C) 2005, 2006 Free Software Foundation, Inc.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free
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Software Foundation; either version 2, or (at your option) any later
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version.
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GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with GCC; see the file COPYING. If not, write to the Free
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Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
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02110-1301, USA. */
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#include "config.h"
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#include "system.h"
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#include "coretypes.h"
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#include "tm.h"
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#include "tree.h"
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#include "toplev.h"
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#include "real.h"
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#include "tm_p.h"
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#include "dfp.h"
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/* The order of the following headers is important for making sure
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decNumber structure is large enough to hold decimal128 digits. */
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#include "decimal128.h"
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#include "decimal64.h"
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#include "decimal32.h"
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#include "decNumber.h"
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static uint32_t
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dfp_byte_swap (uint32_t in)
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{
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uint32_t out = 0;
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unsigned char *p = (unsigned char *) &out;
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union {
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uint32_t i;
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unsigned char b[4];
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} u;
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u.i = in;
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p[0] = u.b[3];
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p[1] = u.b[2];
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p[2] = u.b[1];
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p[3] = u.b[0];
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return out;
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}
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/* Initialize R (a real with the decimal flag set) from DN. Can
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utilize status passed in via CONTEXT, if a previous operation had
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interesting status. */
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static void
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decimal_from_decnumber (REAL_VALUE_TYPE *r, decNumber *dn, decContext *context)
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{
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memset (r, 0, sizeof (REAL_VALUE_TYPE));
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r->cl = rvc_normal;
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if (decNumberIsZero (dn))
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r->cl = rvc_zero;
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if (decNumberIsNaN (dn))
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r->cl = rvc_nan;
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if (decNumberIsInfinite (dn))
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r->cl = rvc_inf;
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if (context->status & DEC_Overflow)
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r->cl = rvc_inf;
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if (decNumberIsNegative (dn))
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r->sign = 1;
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r->decimal = 1;
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if (r->cl != rvc_normal)
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return;
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decContextDefault (context, DEC_INIT_DECIMAL128);
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context->traps = 0;
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decimal128FromNumber ((decimal128 *) r->sig, dn, context);
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}
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/* Create decimal encoded R from string S. */
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void
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decimal_real_from_string (REAL_VALUE_TYPE *r, const char *s)
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{
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decNumber dn;
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decContext set;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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decNumberFromString (&dn, (char *) s, &set);
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/* It would be more efficient to store directly in decNumber format,
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but that is impractical from current data structure size.
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Encoding as a decimal128 is much more compact. */
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decimal_from_decnumber (r, &dn, &set);
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}
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/* Initialize a decNumber from a REAL_VALUE_TYPE. */
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static void
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decimal_to_decnumber (const REAL_VALUE_TYPE *r, decNumber *dn)
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{
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decContext set;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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switch (r->cl)
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{
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case rvc_zero:
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decNumberZero (dn);
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break;
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case rvc_inf:
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decNumberFromString (dn, (char *)"Infinity", &set);
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break;
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case rvc_nan:
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if (r->signalling)
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decNumberFromString (dn, (char *)"snan", &set);
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else
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decNumberFromString (dn, (char *)"nan", &set);
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break;
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case rvc_normal:
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gcc_assert (r->decimal);
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decimal128ToNumber ((decimal128 *) r->sig, dn);
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break;
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default:
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gcc_unreachable ();
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}
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/* Fix up sign bit. */
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if (r->sign != decNumberIsNegative (dn))
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dn->bits ^= DECNEG;
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}
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/* Encode a real into an IEEE 754R decimal32 type. */
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void
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encode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
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long *buf, const REAL_VALUE_TYPE *r)
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{
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decNumber dn;
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decimal32 d32;
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decContext set;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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decimal_to_decnumber (r, &dn);
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decimal32FromNumber (&d32, &dn, &set);
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if (FLOAT_WORDS_BIG_ENDIAN)
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buf[0] = *(uint32_t *) d32.bytes;
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else
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buf[0] = dfp_byte_swap (*(uint32_t *) d32.bytes);
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}
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/* Decode an IEEE 754R decimal32 type into a real. */
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void
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decode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
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REAL_VALUE_TYPE *r, const long *buf)
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{
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decNumber dn;
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decimal32 d32;
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decContext set;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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if (FLOAT_WORDS_BIG_ENDIAN)
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*((uint32_t *) d32.bytes) = (uint32_t) buf[0];
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else
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*((uint32_t *) d32.bytes) = dfp_byte_swap ((uint32_t) buf[0]);
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decimal32ToNumber (&d32, &dn);
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decimal_from_decnumber (r, &dn, &set);
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}
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/* Encode a real into an IEEE 754R decimal64 type. */
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void
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encode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
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long *buf, const REAL_VALUE_TYPE *r)
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{
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decNumber dn;
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decimal64 d64;
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decContext set;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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decimal_to_decnumber (r, &dn);
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decimal64FromNumber (&d64, &dn, &set);
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if (FLOAT_WORDS_BIG_ENDIAN)
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{
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buf[0] = *(uint32_t *) &d64.bytes[0];
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buf[1] = *(uint32_t *) &d64.bytes[4];
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}
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else
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{
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buf[1] = dfp_byte_swap (*(uint32_t *) &d64.bytes[0]);
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buf[0] = dfp_byte_swap (*(uint32_t *) &d64.bytes[4]);
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}
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}
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/* Decode an IEEE 754R decimal64 type into a real. */
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void
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decode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
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REAL_VALUE_TYPE *r, const long *buf)
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{
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decNumber dn;
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decimal64 d64;
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decContext set;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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if (FLOAT_WORDS_BIG_ENDIAN)
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{
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*((uint32_t *) &d64.bytes[0]) = (uint32_t) buf[0];
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*((uint32_t *) &d64.bytes[4]) = (uint32_t) buf[1];
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}
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else
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{
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*((uint32_t *) &d64.bytes[0]) = dfp_byte_swap ((uint32_t) buf[1]);
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*((uint32_t *) &d64.bytes[4]) = dfp_byte_swap ((uint32_t) buf[0]);
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}
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decimal64ToNumber (&d64, &dn);
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decimal_from_decnumber (r, &dn, &set);
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}
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/* Encode a real into an IEEE 754R decimal128 type. */
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void
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encode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
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long *buf, const REAL_VALUE_TYPE *r)
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{
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decNumber dn;
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decContext set;
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decimal128 d128;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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decimal_to_decnumber (r, &dn);
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decimal128FromNumber (&d128, &dn, &set);
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if (FLOAT_WORDS_BIG_ENDIAN)
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{
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buf[0] = *(uint32_t *) &d128.bytes[0];
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buf[1] = *(uint32_t *) &d128.bytes[4];
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buf[2] = *(uint32_t *) &d128.bytes[8];
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buf[3] = *(uint32_t *) &d128.bytes[12];
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}
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else
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{
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buf[0] = dfp_byte_swap (*(uint32_t *) &d128.bytes[12]);
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buf[1] = dfp_byte_swap (*(uint32_t *) &d128.bytes[8]);
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buf[2] = dfp_byte_swap (*(uint32_t *) &d128.bytes[4]);
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buf[3] = dfp_byte_swap (*(uint32_t *) &d128.bytes[0]);
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}
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}
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/* Decode an IEEE 754R decimal128 type into a real. */
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void
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decode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
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REAL_VALUE_TYPE *r, const long *buf)
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{
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decNumber dn;
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decimal128 d128;
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decContext set;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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if (FLOAT_WORDS_BIG_ENDIAN)
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{
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*((uint32_t *) &d128.bytes[0]) = (uint32_t) buf[0];
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*((uint32_t *) &d128.bytes[4]) = (uint32_t) buf[1];
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*((uint32_t *) &d128.bytes[8]) = (uint32_t) buf[2];
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*((uint32_t *) &d128.bytes[12]) = (uint32_t) buf[3];
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}
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else
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{
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*((uint32_t *) &d128.bytes[0]) = dfp_byte_swap ((uint32_t) buf[3]);
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*((uint32_t *) &d128.bytes[4]) = dfp_byte_swap ((uint32_t) buf[2]);
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*((uint32_t *) &d128.bytes[8]) = dfp_byte_swap ((uint32_t) buf[1]);
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*((uint32_t *) &d128.bytes[12]) = dfp_byte_swap ((uint32_t) buf[0]);
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}
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decimal128ToNumber (&d128, &dn);
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decimal_from_decnumber (r, &dn, &set);
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}
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/* Helper function to convert from a binary real internal
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representation. */
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static void
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decimal_to_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from,
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enum machine_mode mode)
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{
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char string[256];
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decimal128 *d128;
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d128 = (decimal128 *) from->sig;
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decimal128ToString (d128, string);
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real_from_string3 (to, string, mode);
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}
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/* Helper function to convert from a binary real internal
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representation. */
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static void
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decimal_from_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from)
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{
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char string[256];
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/* We convert to string, then to decNumber then to decimal128. */
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real_to_decimal (string, from, sizeof (string), 0, 1);
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decimal_real_from_string (to, string);
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}
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/* Helper function to real.c:do_compare() to handle decimal internal
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representation including when one of the operands is still in the
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binary internal representation. */
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int
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decimal_do_compare (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b,
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int nan_result)
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{
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decContext set;
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decNumber dn, dn2, dn3;
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REAL_VALUE_TYPE a1, b1;
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/* If either operand is non-decimal, create temporary versions. */
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if (!a->decimal)
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{
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decimal_from_binary (&a1, a);
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a = &a1;
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}
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if (!b->decimal)
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{
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decimal_from_binary (&b1, b);
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b = &b1;
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}
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/* Convert into decNumber form for comparison operation. */
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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decimal128ToNumber ((decimal128 *) a->sig, &dn2);
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decimal128ToNumber ((decimal128 *) b->sig, &dn3);
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/* Finally, do the comparison. */
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decNumberCompare (&dn, &dn2, &dn3, &set);
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/* Return the comparison result. */
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if (decNumberIsNaN (&dn))
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return nan_result;
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else if (decNumberIsZero (&dn))
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return 0;
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else if (decNumberIsNegative (&dn))
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return -1;
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else
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return 1;
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}
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/* Helper to round_for_format, handling decimal float types. */
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void
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decimal_round_for_format (const struct real_format *fmt, REAL_VALUE_TYPE *r)
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{
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decNumber dn;
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decContext set;
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/* Real encoding occurs later. */
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if (r->cl != rvc_normal)
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return;
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decContextDefault (&set, DEC_INIT_DECIMAL128);
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set.traps = 0;
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decimal128ToNumber ((decimal128 *) r->sig, &dn);
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if (fmt == &decimal_quad_format)
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{
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/* The internal format is already in this format. */
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return;
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}
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else if (fmt == &decimal_single_format)
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{
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decimal32 d32;
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decContextDefault (&set, DEC_INIT_DECIMAL32);
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set.traps = 0;
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decimal32FromNumber (&d32, &dn, &set);
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decimal32ToNumber (&d32, &dn);
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}
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else if (fmt == &decimal_double_format)
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{
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decimal64 d64;
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decContextDefault (&set, DEC_INIT_DECIMAL64);
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set.traps = 0;
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decimal64FromNumber (&d64, &dn, &set);
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decimal64ToNumber (&d64, &dn);
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}
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else
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gcc_unreachable ();
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decimal_from_decnumber (r, &dn, &set);
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}
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/* Extend or truncate to a new mode. Handles conversions between
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binary and decimal types. */
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void
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decimal_real_convert (REAL_VALUE_TYPE *r, enum machine_mode mode,
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const REAL_VALUE_TYPE *a)
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{
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const struct real_format *fmt = REAL_MODE_FORMAT (mode);
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if (a->decimal && fmt->b == 10)
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return;
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if (a->decimal)
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decimal_to_binary (r, a, mode);
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else
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decimal_from_binary (r, a);
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}
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/* Render R_ORIG as a decimal floating point constant. Emit DIGITS
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||
|
significant digits in the result, bounded by BUF_SIZE. If DIGITS
|
||
|
is 0, choose the maximum for the representation. If
|
||
|
CROP_TRAILING_ZEROS, strip trailing zeros. Currently, not honoring
|
||
|
DIGITS or CROP_TRAILING_ZEROS. */
|
||
|
|
||
|
void
|
||
|
decimal_real_to_decimal (char *str, const REAL_VALUE_TYPE *r_orig,
|
||
|
size_t buf_size,
|
||
|
size_t digits ATTRIBUTE_UNUSED,
|
||
|
int crop_trailing_zeros ATTRIBUTE_UNUSED)
|
||
|
{
|
||
|
decimal128 *d128 = (decimal128*) r_orig->sig;
|
||
|
|
||
|
/* decimal128ToString requires space for at least 24 characters;
|
||
|
Require two more for suffix. */
|
||
|
gcc_assert (buf_size >= 24);
|
||
|
decimal128ToString (d128, str);
|
||
|
}
|
||
|
|
||
|
static bool
|
||
|
decimal_do_add (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
|
||
|
const REAL_VALUE_TYPE *op1, int subtract_p)
|
||
|
{
|
||
|
decNumber dn;
|
||
|
decContext set;
|
||
|
decNumber dn2, dn3;
|
||
|
|
||
|
decimal_to_decnumber (op0, &dn2);
|
||
|
decimal_to_decnumber (op1, &dn3);
|
||
|
|
||
|
decContextDefault (&set, DEC_INIT_DECIMAL128);
|
||
|
set.traps = 0;
|
||
|
|
||
|
if (subtract_p)
|
||
|
decNumberSubtract (&dn, &dn2, &dn3, &set);
|
||
|
else
|
||
|
decNumberAdd (&dn, &dn2, &dn3, &set);
|
||
|
|
||
|
decimal_from_decnumber (r, &dn, &set);
|
||
|
|
||
|
/* Return true, if inexact. */
|
||
|
return (set.status & DEC_Inexact);
|
||
|
}
|
||
|
|
||
|
/* Compute R = OP0 * OP1. */
|
||
|
|
||
|
static bool
|
||
|
decimal_do_multiply (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
|
||
|
const REAL_VALUE_TYPE *op1)
|
||
|
{
|
||
|
decContext set;
|
||
|
decNumber dn, dn2, dn3;
|
||
|
|
||
|
decimal_to_decnumber (op0, &dn2);
|
||
|
decimal_to_decnumber (op1, &dn3);
|
||
|
|
||
|
decContextDefault (&set, DEC_INIT_DECIMAL128);
|
||
|
set.traps = 0;
|
||
|
|
||
|
decNumberMultiply (&dn, &dn2, &dn3, &set);
|
||
|
decimal_from_decnumber (r, &dn, &set);
|
||
|
|
||
|
/* Return true, if inexact. */
|
||
|
return (set.status & DEC_Inexact);
|
||
|
}
|
||
|
|
||
|
/* Compute R = OP0 / OP1. */
|
||
|
|
||
|
static bool
|
||
|
decimal_do_divide (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
|
||
|
const REAL_VALUE_TYPE *op1)
|
||
|
{
|
||
|
decContext set;
|
||
|
decNumber dn, dn2, dn3;
|
||
|
|
||
|
decimal_to_decnumber (op0, &dn2);
|
||
|
decimal_to_decnumber (op1, &dn3);
|
||
|
|
||
|
decContextDefault (&set, DEC_INIT_DECIMAL128);
|
||
|
set.traps = 0;
|
||
|
|
||
|
decNumberDivide (&dn, &dn2, &dn3, &set);
|
||
|
decimal_from_decnumber (r, &dn, &set);
|
||
|
|
||
|
/* Return true, if inexact. */
|
||
|
return (set.status & DEC_Inexact);
|
||
|
}
|
||
|
|
||
|
/* Set R to A truncated to an integral value toward zero (decimal
|
||
|
floating point). */
|
||
|
|
||
|
void
|
||
|
decimal_do_fix_trunc (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
|
||
|
{
|
||
|
decNumber dn, dn2;
|
||
|
decContext set;
|
||
|
|
||
|
decContextDefault (&set, DEC_INIT_DECIMAL128);
|
||
|
set.traps = 0;
|
||
|
set.round = DEC_ROUND_DOWN;
|
||
|
decimal128ToNumber ((decimal128 *) a->sig, &dn2);
|
||
|
|
||
|
decNumberToIntegralValue (&dn, &dn2, &set);
|
||
|
decimal_from_decnumber (r, &dn, &set);
|
||
|
}
|
||
|
|
||
|
/* Render decimal float value R as an integer. */
|
||
|
|
||
|
HOST_WIDE_INT
|
||
|
decimal_real_to_integer (const REAL_VALUE_TYPE *r)
|
||
|
{
|
||
|
decContext set;
|
||
|
decNumber dn, dn2, dn3;
|
||
|
REAL_VALUE_TYPE to;
|
||
|
char string[256];
|
||
|
|
||
|
decContextDefault (&set, DEC_INIT_DECIMAL128);
|
||
|
set.traps = 0;
|
||
|
set.round = DEC_ROUND_DOWN;
|
||
|
decimal128ToNumber ((decimal128 *) r->sig, &dn);
|
||
|
|
||
|
decNumberToIntegralValue (&dn2, &dn, &set);
|
||
|
decNumberZero (&dn3);
|
||
|
decNumberRescale (&dn, &dn2, &dn3, &set);
|
||
|
|
||
|
/* Convert to REAL_VALUE_TYPE and call appropriate conversion
|
||
|
function. */
|
||
|
decNumberToString (&dn, string);
|
||
|
real_from_string (&to, string);
|
||
|
return real_to_integer (&to);
|
||
|
}
|
||
|
|
||
|
/* Likewise, but to an integer pair, HI+LOW. */
|
||
|
|
||
|
void
|
||
|
decimal_real_to_integer2 (HOST_WIDE_INT *plow, HOST_WIDE_INT *phigh,
|
||
|
const REAL_VALUE_TYPE *r)
|
||
|
{
|
||
|
decContext set;
|
||
|
decNumber dn, dn2, dn3;
|
||
|
REAL_VALUE_TYPE to;
|
||
|
char string[256];
|
||
|
|
||
|
decContextDefault (&set, DEC_INIT_DECIMAL128);
|
||
|
set.traps = 0;
|
||
|
set.round = DEC_ROUND_DOWN;
|
||
|
decimal128ToNumber ((decimal128 *) r->sig, &dn);
|
||
|
|
||
|
decNumberToIntegralValue (&dn2, &dn, &set);
|
||
|
decNumberZero (&dn3);
|
||
|
decNumberRescale (&dn, &dn2, &dn3, &set);
|
||
|
|
||
|
/* Conver to REAL_VALUE_TYPE and call appropriate conversion
|
||
|
function. */
|
||
|
decNumberToString (&dn, string);
|
||
|
real_from_string (&to, string);
|
||
|
real_to_integer2 (plow, phigh, &to);
|
||
|
}
|
||
|
|
||
|
/* Perform the decimal floating point operation described by CODE.
|
||
|
For a unary operation, OP1 will be NULL. This function returns
|
||
|
true if the result may be inexact due to loss of precision. */
|
||
|
|
||
|
bool
|
||
|
decimal_real_arithmetic (REAL_VALUE_TYPE *r, enum tree_code code,
|
||
|
const REAL_VALUE_TYPE *op0,
|
||
|
const REAL_VALUE_TYPE *op1)
|
||
|
{
|
||
|
REAL_VALUE_TYPE a, b;
|
||
|
|
||
|
/* If either operand is non-decimal, create temporaries. */
|
||
|
if (!op0->decimal)
|
||
|
{
|
||
|
decimal_from_binary (&a, op0);
|
||
|
op0 = &a;
|
||
|
}
|
||
|
if (op1 && !op1->decimal)
|
||
|
{
|
||
|
decimal_from_binary (&b, op1);
|
||
|
op1 = &b;
|
||
|
}
|
||
|
|
||
|
switch (code)
|
||
|
{
|
||
|
case PLUS_EXPR:
|
||
|
return decimal_do_add (r, op0, op1, 0);
|
||
|
|
||
|
case MINUS_EXPR:
|
||
|
return decimal_do_add (r, op0, op1, 1);
|
||
|
|
||
|
case MULT_EXPR:
|
||
|
return decimal_do_multiply (r, op0, op1);
|
||
|
|
||
|
case RDIV_EXPR:
|
||
|
return decimal_do_divide (r, op0, op1);
|
||
|
|
||
|
case MIN_EXPR:
|
||
|
if (op1->cl == rvc_nan)
|
||
|
*r = *op1;
|
||
|
else if (real_compare (UNLT_EXPR, op0, op1))
|
||
|
*r = *op0;
|
||
|
else
|
||
|
*r = *op1;
|
||
|
return false;
|
||
|
|
||
|
case MAX_EXPR:
|
||
|
if (op1->cl == rvc_nan)
|
||
|
*r = *op1;
|
||
|
else if (real_compare (LT_EXPR, op0, op1))
|
||
|
*r = *op1;
|
||
|
else
|
||
|
*r = *op0;
|
||
|
return false;
|
||
|
|
||
|
case NEGATE_EXPR:
|
||
|
{
|
||
|
decimal128 *d128;
|
||
|
*r = *op0;
|
||
|
d128 = (decimal128 *) r->sig;
|
||
|
/* Flip high bit. */
|
||
|
d128->bytes[0] ^= 1 << 7;
|
||
|
/* Keep sign field in sync. */
|
||
|
r->sign ^= 1;
|
||
|
}
|
||
|
return false;
|
||
|
|
||
|
case ABS_EXPR:
|
||
|
{
|
||
|
decimal128 *d128;
|
||
|
*r = *op0;
|
||
|
d128 = (decimal128 *) r->sig;
|
||
|
/* Clear high bit. */
|
||
|
d128->bytes[0] &= 0x7f;
|
||
|
/* Keep sign field in sync. */
|
||
|
r->sign = 0;
|
||
|
}
|
||
|
return false;
|
||
|
|
||
|
case FIX_TRUNC_EXPR:
|
||
|
decimal_do_fix_trunc (r, op0);
|
||
|
return false;
|
||
|
|
||
|
default:
|
||
|
gcc_unreachable ();
|
||
|
}
|
||
|
}
|
||
|
|
||
|
/* Fills R with the largest finite value representable in mode MODE.
|
||
|
If SIGN is nonzero, R is set to the most negative finite value. */
|
||
|
|
||
|
void
|
||
|
decimal_real_maxval (REAL_VALUE_TYPE *r, int sign, enum machine_mode mode)
|
||
|
{
|
||
|
char *max;
|
||
|
|
||
|
switch (mode)
|
||
|
{
|
||
|
case SDmode:
|
||
|
max = (char *) "9.999999E96";
|
||
|
break;
|
||
|
case DDmode:
|
||
|
max = (char *) "9.999999999999999E384";
|
||
|
break;
|
||
|
case TDmode:
|
||
|
max = (char *) "9.999999999999999999999999999999999E6144";
|
||
|
break;
|
||
|
default:
|
||
|
gcc_unreachable ();
|
||
|
}
|
||
|
|
||
|
decimal_real_from_string (r, max);
|
||
|
if (sign)
|
||
|
r->sig[0] |= 0x80000000;
|
||
|
}
|