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julius |
/* This is a software decimal floating point library.
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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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In addition to the permissions in the GNU General Public License, the
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Free Software Foundation gives you unlimited permission to link the
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compiled version of this file into combinations with other programs,
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and to distribute those combinations without any restriction coming
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from the use of this file. (The General Public License restrictions
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do apply in other respects; for example, they cover modification of
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the file, and distribution when not linked into a combine
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executable.)
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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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/* This implements IEEE 754R decimal floating point arithmetic, but
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does not provide a mechanism for setting the rounding mode, or for
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generating or handling exceptions. Conversions between decimal
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floating point types and other types depend on C library functions.
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Contributed by Ben Elliston <bje@au.ibm.com>. */
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/* The intended way to use this file is to make two copies, add `#define '
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to one copy, then compile both copies and add them to libgcc.a. */
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include <limits.h>
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#include "config/dfp-bit.h"
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/* Forward declarations. */
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#if WIDTH == 32 || WIDTH_TO == 32
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void __host_to_ieee_32 (_Decimal32 in, decimal32 *out);
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void __ieee_to_host_32 (decimal32 in, _Decimal32 *out);
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#endif
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#if WIDTH == 64 || WIDTH_TO == 64
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void __host_to_ieee_64 (_Decimal64 in, decimal64 *out);
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void __ieee_to_host_64 (decimal64 in, _Decimal64 *out);
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#endif
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#if WIDTH == 128 || WIDTH_TO == 128
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void __host_to_ieee_128 (_Decimal128 in, decimal128 *out);
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void __ieee_to_host_128 (decimal128 in, _Decimal128 *out);
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#endif
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/* A pointer to a unary decNumber operation. */
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typedef decNumber* (*dfp_unary_func)
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(decNumber *, decNumber *, decContext *);
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/* A pointer to a binary decNumber operation. */
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typedef decNumber* (*dfp_binary_func)
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(decNumber *, decNumber *, decNumber *, decContext *);
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extern unsigned long __dec_byte_swap (unsigned long);
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/* Unary operations. */
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static inline DFP_C_TYPE
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dfp_unary_op (dfp_unary_func op, DFP_C_TYPE arg)
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{
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DFP_C_TYPE result;
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decContext context;
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decNumber arg1, res;
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IEEE_TYPE a, encoded_result;
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HOST_TO_IEEE (arg, &a);
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decContextDefault (&context, CONTEXT_INIT);
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context.round = CONTEXT_ROUND;
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TO_INTERNAL (&a, &arg1);
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/* Perform the operation. */
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op (&res, &arg1, &context);
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if (CONTEXT_TRAPS && CONTEXT_ERRORS (context))
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DFP_RAISE (0);
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TO_ENCODED (&encoded_result, &res, &context);
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IEEE_TO_HOST (encoded_result, &result);
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return result;
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}
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/* Binary operations. */
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static inline DFP_C_TYPE
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dfp_binary_op (dfp_binary_func op, DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
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{
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DFP_C_TYPE result;
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decContext context;
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decNumber arg1, arg2, res;
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IEEE_TYPE a, b, encoded_result;
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HOST_TO_IEEE (arg_a, &a);
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HOST_TO_IEEE (arg_b, &b);
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decContextDefault (&context, CONTEXT_INIT);
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context.round = CONTEXT_ROUND;
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TO_INTERNAL (&a, &arg1);
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TO_INTERNAL (&b, &arg2);
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/* Perform the operation. */
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op (&res, &arg1, &arg2, &context);
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if (CONTEXT_TRAPS && CONTEXT_ERRORS (context))
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DFP_RAISE (0);
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TO_ENCODED (&encoded_result, &res, &context);
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IEEE_TO_HOST (encoded_result, &result);
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return result;
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}
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/* Comparison operations. */
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static inline int
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dfp_compare_op (dfp_binary_func op, DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
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{
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IEEE_TYPE a, b;
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decContext context;
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decNumber arg1, arg2, res;
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int result;
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HOST_TO_IEEE (arg_a, &a);
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HOST_TO_IEEE (arg_b, &b);
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decContextDefault (&context, CONTEXT_INIT);
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context.round = CONTEXT_ROUND;
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TO_INTERNAL (&a, &arg1);
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TO_INTERNAL (&b, &arg2);
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/* Perform the comparison. */
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op (&res, &arg1, &arg2, &context);
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if (CONTEXT_TRAPS && CONTEXT_ERRORS (context))
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DFP_RAISE (0);
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if (decNumberIsNegative (&res))
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result = -1;
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else if (decNumberIsZero (&res))
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result = 0;
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else
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result = 1;
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return result;
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}
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#if defined(L_conv_sd)
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void
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__host_to_ieee_32 (_Decimal32 in, decimal32 *out)
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{
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uint32_t t;
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if (!LIBGCC2_FLOAT_WORDS_BIG_ENDIAN)
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{
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memcpy (&t, &in, 4);
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t = __dec_byte_swap (t);
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memcpy (out, &t, 4);
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}
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else
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memcpy (out, &in, 4);
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}
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void
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__ieee_to_host_32 (decimal32 in, _Decimal32 *out)
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{
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uint32_t t;
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if (!LIBGCC2_FLOAT_WORDS_BIG_ENDIAN)
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{
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memcpy (&t, &in, 4);
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t = __dec_byte_swap (t);
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memcpy (out, &t, 4);
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}
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else
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memcpy (out, &in, 4);
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}
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#endif /* L_conv_sd */
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#if defined(L_conv_dd)
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static void
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__swap64 (char *src, char *dst)
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{
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uint32_t t1, t2;
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if (!LIBGCC2_FLOAT_WORDS_BIG_ENDIAN)
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{
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memcpy (&t1, src, 4);
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memcpy (&t2, src + 4, 4);
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t1 = __dec_byte_swap (t1);
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t2 = __dec_byte_swap (t2);
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memcpy (dst, &t2, 4);
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memcpy (dst + 4, &t1, 4);
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}
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else
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memcpy (dst, src, 8);
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}
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void
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__host_to_ieee_64 (_Decimal64 in, decimal64 *out)
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{
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__swap64 ((char *) &in, (char *) out);
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}
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void
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__ieee_to_host_64 (decimal64 in, _Decimal64 *out)
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{
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__swap64 ((char *) &in, (char *) out);
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}
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#endif /* L_conv_dd */
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#if defined(L_conv_td)
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static void
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__swap128 (char *src, char *dst)
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{
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uint32_t t1, t2, t3, t4;
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if (!LIBGCC2_FLOAT_WORDS_BIG_ENDIAN)
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{
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memcpy (&t1, src, 4);
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memcpy (&t2, src + 4, 4);
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memcpy (&t3, src + 8, 4);
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memcpy (&t4, src + 12, 4);
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t1 = __dec_byte_swap (t1);
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t2 = __dec_byte_swap (t2);
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t3 = __dec_byte_swap (t3);
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t4 = __dec_byte_swap (t4);
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memcpy (dst, &t4, 4);
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memcpy (dst + 4, &t3, 4);
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memcpy (dst + 8, &t2, 4);
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memcpy (dst + 12, &t1, 4);
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}
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else
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memcpy (dst, src, 16);
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}
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void
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__host_to_ieee_128 (_Decimal128 in, decimal128 *out)
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{
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__swap128 ((char *) &in, (char *) out);
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}
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260 |
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void
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__ieee_to_host_128 (decimal128 in, _Decimal128 *out)
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262 |
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{
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263 |
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__swap128 ((char *) &in, (char *) out);
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}
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#endif /* L_conv_td */
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267 |
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#if defined(L_addsub_sd) || defined(L_addsub_dd) || defined(L_addsub_td)
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DFP_C_TYPE
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DFP_ADD (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
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{
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return dfp_binary_op (decNumberAdd, arg_a, arg_b);
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}
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274 |
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DFP_C_TYPE
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DFP_SUB (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
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{
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return dfp_binary_op (decNumberSubtract, arg_a, arg_b);
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}
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#endif /* L_addsub */
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281 |
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#if defined(L_mul_sd) || defined(L_mul_dd) || defined(L_mul_td)
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DFP_C_TYPE
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DFP_MULTIPLY (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
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{
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285 |
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return dfp_binary_op (decNumberMultiply, arg_a, arg_b);
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}
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287 |
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#endif /* L_mul */
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288 |
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289 |
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#if defined(L_div_sd) || defined(L_div_dd) || defined(L_div_td)
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DFP_C_TYPE
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DFP_DIVIDE (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
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292 |
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{
|
293 |
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return dfp_binary_op (decNumberDivide, arg_a, arg_b);
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294 |
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}
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295 |
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#endif /* L_div */
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296 |
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297 |
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#if defined (L_eq_sd) || defined (L_eq_dd) || defined (L_eq_td)
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298 |
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CMPtype
|
299 |
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DFP_EQ (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
|
300 |
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{
|
301 |
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int stat;
|
302 |
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stat = dfp_compare_op (decNumberCompare, arg_a, arg_b);
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303 |
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/* For EQ return zero for true, nonzero for false. */
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304 |
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return stat != 0;
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305 |
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}
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306 |
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#endif /* L_eq */
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307 |
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|
308 |
|
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#if defined (L_ne_sd) || defined (L_ne_dd) || defined (L_ne_td)
|
309 |
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CMPtype
|
310 |
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DFP_NE (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
|
311 |
|
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{
|
312 |
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int stat;
|
313 |
|
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stat = dfp_compare_op (decNumberCompare, arg_a, arg_b);
|
314 |
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/* For NE return nonzero for true, zero for false. */
|
315 |
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return stat != 0;
|
316 |
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}
|
317 |
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#endif /* L_ne */
|
318 |
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|
319 |
|
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#if defined (L_lt_sd) || defined (L_lt_dd) || defined (L_lt_td)
|
320 |
|
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CMPtype
|
321 |
|
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DFP_LT (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
|
322 |
|
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{
|
323 |
|
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int stat;
|
324 |
|
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stat = dfp_compare_op (decNumberCompare, arg_a, arg_b);
|
325 |
|
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/* For LT return -1 (<0) for true, 1 for false. */
|
326 |
|
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return (stat == -1) ? -1 : 1;
|
327 |
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}
|
328 |
|
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#endif /* L_lt */
|
329 |
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|
330 |
|
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#if defined (L_gt_sd) || defined (L_gt_dd) || defined (L_gt_td)
|
331 |
|
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CMPtype
|
332 |
|
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DFP_GT (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
|
333 |
|
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{
|
334 |
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int stat;
|
335 |
|
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stat = dfp_compare_op (decNumberCompare, arg_a, arg_b);
|
336 |
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/* For GT return 1 (>0) for true, -1 for false. */
|
337 |
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return (stat == 1) ? 1 : -1;
|
338 |
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}
|
339 |
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#endif
|
340 |
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|
341 |
|
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#if defined (L_le_sd) || defined (L_le_dd) || defined (L_le_td)
|
342 |
|
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CMPtype
|
343 |
|
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DFP_LE (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
|
344 |
|
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{
|
345 |
|
|
int stat;
|
346 |
|
|
stat = dfp_compare_op (decNumberCompare, arg_a, arg_b);
|
347 |
|
|
/* For LE return 0 (<= 0) for true, 1 for false. */
|
348 |
|
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return stat == 1;
|
349 |
|
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}
|
350 |
|
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#endif /* L_le */
|
351 |
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|
352 |
|
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#if defined (L_ge_sd) || defined (L_ge_dd) || defined (L_ge_td)
|
353 |
|
|
CMPtype
|
354 |
|
|
DFP_GE (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
|
355 |
|
|
{
|
356 |
|
|
int stat;
|
357 |
|
|
stat = dfp_compare_op (decNumberCompare, arg_a, arg_b);
|
358 |
|
|
/* For GE return 1 (>=0) for true, -1 for false. */
|
359 |
|
|
return (stat != -1) ? 1 : -1;
|
360 |
|
|
}
|
361 |
|
|
#endif /* L_ge */
|
362 |
|
|
|
363 |
|
|
#define BUFMAX 128
|
364 |
|
|
|
365 |
|
|
#if defined (L_sd_to_dd) || defined (L_sd_to_td) || defined (L_dd_to_sd) \
|
366 |
|
|
|| defined (L_dd_to_td) || defined (L_td_to_sd) || defined (L_td_to_dd)
|
367 |
|
|
DFP_C_TYPE_TO
|
368 |
|
|
DFP_TO_DFP (DFP_C_TYPE f_from)
|
369 |
|
|
{
|
370 |
|
|
DFP_C_TYPE_TO f_to;
|
371 |
|
|
IEEE_TYPE s_from;
|
372 |
|
|
IEEE_TYPE_TO s_to;
|
373 |
|
|
decNumber d;
|
374 |
|
|
decContext context;
|
375 |
|
|
|
376 |
|
|
decContextDefault (&context, CONTEXT_INIT);
|
377 |
|
|
context.round = CONTEXT_ROUND;
|
378 |
|
|
|
379 |
|
|
HOST_TO_IEEE (f_from, &s_from);
|
380 |
|
|
TO_INTERNAL (&s_from, &d);
|
381 |
|
|
TO_ENCODED_TO (&s_to, &d, &context);
|
382 |
|
|
if (CONTEXT_TRAPS && (context.status & DEC_Inexact) != 0)
|
383 |
|
|
DFP_RAISE (DEC_Inexact);
|
384 |
|
|
|
385 |
|
|
IEEE_TO_HOST_TO (s_to, &f_to);
|
386 |
|
|
return f_to;
|
387 |
|
|
}
|
388 |
|
|
#endif
|
389 |
|
|
|
390 |
|
|
#if defined (L_sd_to_si) || defined (L_dd_to_si) || defined (L_td_to_si) \
|
391 |
|
|
|| defined (L_sd_to_di) || defined (L_dd_to_di) || defined (L_td_to_di) \
|
392 |
|
|
|| defined (L_sd_to_usi) || defined (L_dd_to_usi) || defined (L_td_to_usi) \
|
393 |
|
|
|| defined (L_sd_to_udi) || defined (L_dd_to_udi) || defined (L_td_to_udi)
|
394 |
|
|
INT_TYPE
|
395 |
|
|
DFP_TO_INT (DFP_C_TYPE x)
|
396 |
|
|
{
|
397 |
|
|
/* decNumber's decimal* types have the same format as C's _Decimal*
|
398 |
|
|
types, but they have different calling conventions. */
|
399 |
|
|
|
400 |
|
|
IEEE_TYPE s;
|
401 |
|
|
char buf[BUFMAX];
|
402 |
|
|
char *pos;
|
403 |
|
|
decNumber qval, n1, n2;
|
404 |
|
|
decContext context;
|
405 |
|
|
|
406 |
|
|
decContextDefault (&context, CONTEXT_INIT);
|
407 |
|
|
/* Need non-default rounding mode here. */
|
408 |
|
|
context.round = DEC_ROUND_DOWN;
|
409 |
|
|
|
410 |
|
|
HOST_TO_IEEE (x, &s);
|
411 |
|
|
TO_INTERNAL (&s, &n1);
|
412 |
|
|
/* Rescale if the exponent is less than zero. */
|
413 |
|
|
decNumberToIntegralValue (&n2, &n1, &context);
|
414 |
|
|
/* Get a value to use for the quantize call. */
|
415 |
|
|
decNumberFromString (&qval, (char *) "1.0", &context);
|
416 |
|
|
/* Force the exponent to zero. */
|
417 |
|
|
decNumberQuantize (&n1, &n2, &qval, &context);
|
418 |
|
|
/* This is based on text in N1107 section 5.1; it might turn out to be
|
419 |
|
|
undefined behavior instead. */
|
420 |
|
|
if (context.status & DEC_Invalid_operation)
|
421 |
|
|
{
|
422 |
|
|
#if defined (L_sd_to_si) || defined (L_dd_to_si) || defined (L_td_to_si)
|
423 |
|
|
if (decNumberIsNegative(&n2))
|
424 |
|
|
return INT_MIN;
|
425 |
|
|
else
|
426 |
|
|
return INT_MAX;
|
427 |
|
|
#elif defined (L_sd_to_di) || defined (L_dd_to_di) || defined (L_td_to_di)
|
428 |
|
|
if (decNumberIsNegative(&n2))
|
429 |
|
|
/* Find a defined constant that will work here. */
|
430 |
|
|
return (-9223372036854775807LL - 1LL);
|
431 |
|
|
else
|
432 |
|
|
/* Find a defined constant that will work here. */
|
433 |
|
|
return 9223372036854775807LL;
|
434 |
|
|
#elif defined (L_sd_to_usi) || defined (L_dd_to_usi) || defined (L_td_to_usi)
|
435 |
|
|
return UINT_MAX;
|
436 |
|
|
#elif defined (L_sd_to_udi) || defined (L_dd_to_udi) || defined (L_td_to_udi)
|
437 |
|
|
/* Find a defined constant that will work here. */
|
438 |
|
|
return 18446744073709551615ULL;
|
439 |
|
|
#endif
|
440 |
|
|
}
|
441 |
|
|
/* Get a string, which at this point will not include an exponent. */
|
442 |
|
|
decNumberToString (&n1, buf);
|
443 |
|
|
/* Ignore the fractional part. */
|
444 |
|
|
pos = strchr (buf, '.');
|
445 |
|
|
if (pos)
|
446 |
|
|
*pos = 0;
|
447 |
|
|
/* Use a C library function to convert to the integral type. */
|
448 |
|
|
return STR_TO_INT (buf, NULL, 10);
|
449 |
|
|
}
|
450 |
|
|
#endif
|
451 |
|
|
|
452 |
|
|
#if defined (L_si_to_sd) || defined (L_si_to_dd) || defined (L_si_to_td) \
|
453 |
|
|
|| defined (L_di_to_sd) || defined (L_di_to_dd) || defined (L_di_to_td) \
|
454 |
|
|
|| defined (L_usi_to_sd) || defined (L_usi_to_dd) || defined (L_usi_to_td) \
|
455 |
|
|
|| defined (L_udi_to_sd) || defined (L_udi_to_dd) || defined (L_udi_to_td)
|
456 |
|
|
DFP_C_TYPE
|
457 |
|
|
INT_TO_DFP (INT_TYPE i)
|
458 |
|
|
{
|
459 |
|
|
DFP_C_TYPE f;
|
460 |
|
|
IEEE_TYPE s;
|
461 |
|
|
char buf[BUFMAX];
|
462 |
|
|
decContext context;
|
463 |
|
|
|
464 |
|
|
decContextDefault (&context, CONTEXT_INIT);
|
465 |
|
|
context.round = CONTEXT_ROUND;
|
466 |
|
|
|
467 |
|
|
/* Use a C library function to get a floating point string. */
|
468 |
|
|
sprintf (buf, INT_FMT ".0", CAST_FOR_FMT(i));
|
469 |
|
|
/* Convert from the floating point string to a decimal* type. */
|
470 |
|
|
FROM_STRING (&s, buf, &context);
|
471 |
|
|
IEEE_TO_HOST (s, &f);
|
472 |
|
|
if (CONTEXT_TRAPS && (context.status & DEC_Inexact) != 0)
|
473 |
|
|
DFP_RAISE (DEC_Inexact);
|
474 |
|
|
return f;
|
475 |
|
|
}
|
476 |
|
|
#endif
|
477 |
|
|
|
478 |
|
|
#if defined (L_sd_to_sf) || defined (L_dd_to_sf) || defined (L_td_to_sf) \
|
479 |
|
|
|| defined (L_sd_to_df) || defined (L_dd_to_df) || defined (L_td_to_df) \
|
480 |
|
|
|| ((defined (L_sd_to_xf) || defined (L_dd_to_xf) || defined (L_td_to_xf)) \
|
481 |
|
|
&& LIBGCC2_HAS_XF_MODE)
|
482 |
|
|
BFP_TYPE
|
483 |
|
|
DFP_TO_BFP (DFP_C_TYPE f)
|
484 |
|
|
{
|
485 |
|
|
IEEE_TYPE s;
|
486 |
|
|
char buf[BUFMAX];
|
487 |
|
|
|
488 |
|
|
HOST_TO_IEEE (f, &s);
|
489 |
|
|
/* Write the value to a string. */
|
490 |
|
|
TO_STRING (&s, buf);
|
491 |
|
|
/* Read it as the binary floating point type and return that. */
|
492 |
|
|
return STR_TO_BFP (buf, NULL);
|
493 |
|
|
}
|
494 |
|
|
#endif
|
495 |
|
|
|
496 |
|
|
#if defined (L_sf_to_sd) || defined (L_sf_to_dd) || defined (L_sf_to_td) \
|
497 |
|
|
|| defined (L_df_to_sd) || defined (L_df_to_dd) || defined (L_df_to_td) \
|
498 |
|
|
|| ((defined (L_xf_to_sd) || defined (L_xf_to_dd) || defined (L_xf_to_td)) \
|
499 |
|
|
&& LIBGCC2_HAS_XF_MODE)
|
500 |
|
|
DFP_C_TYPE
|
501 |
|
|
BFP_TO_DFP (BFP_TYPE x)
|
502 |
|
|
{
|
503 |
|
|
DFP_C_TYPE f;
|
504 |
|
|
IEEE_TYPE s;
|
505 |
|
|
char buf[BUFMAX];
|
506 |
|
|
decContext context;
|
507 |
|
|
|
508 |
|
|
decContextDefault (&context, CONTEXT_INIT);
|
509 |
|
|
context.round = CONTEXT_ROUND;
|
510 |
|
|
|
511 |
|
|
/* Use a C library function to write the floating point value to a string. */
|
512 |
|
|
#ifdef BFP_VIA_TYPE
|
513 |
|
|
/* FIXME: Is there a better way to output an XFmode variable in C? */
|
514 |
|
|
sprintf (buf, BFP_FMT, (BFP_VIA_TYPE) x);
|
515 |
|
|
#else
|
516 |
|
|
sprintf (buf, BFP_FMT, x);
|
517 |
|
|
#endif
|
518 |
|
|
|
519 |
|
|
/* Convert from the floating point string to a decimal* type. */
|
520 |
|
|
FROM_STRING (&s, buf, &context);
|
521 |
|
|
IEEE_TO_HOST (s, &f);
|
522 |
|
|
if (CONTEXT_TRAPS && (context.status & DEC_Inexact) != 0)
|
523 |
|
|
DFP_RAISE (DEC_Inexact);
|
524 |
|
|
return f;
|
525 |
|
|
}
|
526 |
|
|
#endif
|
527 |
|
|
|
528 |
|
|
#if defined (L_unord_sd) || defined (L_unord_dd) || defined (L_unord_td)
|
529 |
|
|
CMPtype
|
530 |
|
|
DFP_UNORD (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b)
|
531 |
|
|
{
|
532 |
|
|
decNumber arg1, arg2;
|
533 |
|
|
IEEE_TYPE a, b;
|
534 |
|
|
|
535 |
|
|
HOST_TO_IEEE (arg_a, &a);
|
536 |
|
|
HOST_TO_IEEE (arg_b, &b);
|
537 |
|
|
TO_INTERNAL (&a, &arg1);
|
538 |
|
|
TO_INTERNAL (&b, &arg2);
|
539 |
|
|
return (decNumberIsNaN (&arg1) || decNumberIsNaN (&arg2));
|
540 |
|
|
}
|
541 |
|
|
#endif /* L_unord_sd || L_unord_dd || L_unord_td */
|