c953da8f0b
It has not had users since f83311e476 ("target-m68k: use floatx80
internally", 2017-06-21).
Note that no other bit-width has floatX_trunc_to_int.
Reviewed-by: Alex Bennée <alex.bennee@linaro.org>
Signed-off-by: Emilio G. Cota <cota@braap.org>
Signed-off-by: Richard Henderson <richard.henderson@linaro.org>
927 lines
40 KiB
C
927 lines
40 KiB
C
/*
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* QEMU float support
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*
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* The code in this source file is derived from release 2a of the SoftFloat
|
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* IEC/IEEE Floating-point Arithmetic Package. Those parts of the code (and
|
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* some later contributions) are provided under that license, as detailed below.
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* It has subsequently been modified by contributors to the QEMU Project,
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* so some portions are provided under:
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* the SoftFloat-2a license
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* the BSD license
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* GPL-v2-or-later
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*
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* Any future contributions to this file after December 1st 2014 will be
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* taken to be licensed under the Softfloat-2a license unless specifically
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* indicated otherwise.
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*/
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/*
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===============================================================================
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This C header file is part of the SoftFloat IEC/IEEE Floating-point
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Arithmetic Package, Release 2a.
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Written by John R. Hauser. This work was made possible in part by the
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International Computer Science Institute, located at Suite 600, 1947 Center
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Street, Berkeley, California 94704. Funding was partially provided by the
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National Science Foundation under grant MIP-9311980. The original version
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of this code was written as part of a project to build a fixed-point vector
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processor in collaboration with the University of California at Berkeley,
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overseen by Profs. Nelson Morgan and John Wawrzynek. More information
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is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
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arithmetic/SoftFloat.html'.
|
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THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort
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has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
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TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO
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PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
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AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
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Derivative works are acceptable, even for commercial purposes, so long as
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(1) they include prominent notice that the work is derivative, and (2) they
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include prominent notice akin to these four paragraphs for those parts of
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this code that are retained.
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===============================================================================
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*/
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/* BSD licensing:
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* Copyright (c) 2006, Fabrice Bellard
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
|
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* modification, are permitted provided that the following conditions are met:
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*
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* 1. Redistributions of source code must retain the above copyright notice,
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* this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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*
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* 3. Neither the name of the copyright holder nor the names of its contributors
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* may be used to endorse or promote products derived from this software without
|
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* specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
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* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
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* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
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* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
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* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
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* THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/* Portions of this work are licensed under the terms of the GNU GPL,
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* version 2 or later. See the COPYING file in the top-level directory.
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*/
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#ifndef SOFTFLOAT_H
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#define SOFTFLOAT_H
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#define LIT64( a ) a##LL
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE floating-point ordering relations
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*----------------------------------------------------------------------------*/
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enum {
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float_relation_less = -1,
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float_relation_equal = 0,
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float_relation_greater = 1,
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float_relation_unordered = 2
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};
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#include "fpu/softfloat-types.h"
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static inline void set_float_detect_tininess(int val, float_status *status)
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{
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status->float_detect_tininess = val;
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}
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static inline void set_float_rounding_mode(int val, float_status *status)
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{
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status->float_rounding_mode = val;
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}
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static inline void set_float_exception_flags(int val, float_status *status)
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{
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status->float_exception_flags = val;
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}
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static inline void set_floatx80_rounding_precision(int val,
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float_status *status)
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{
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status->floatx80_rounding_precision = val;
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}
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static inline void set_flush_to_zero(flag val, float_status *status)
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{
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status->flush_to_zero = val;
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}
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static inline void set_flush_inputs_to_zero(flag val, float_status *status)
|
|
{
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status->flush_inputs_to_zero = val;
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}
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static inline void set_default_nan_mode(flag val, float_status *status)
|
|
{
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status->default_nan_mode = val;
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}
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static inline void set_snan_bit_is_one(flag val, float_status *status)
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|
{
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status->snan_bit_is_one = val;
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|
}
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static inline int get_float_detect_tininess(float_status *status)
|
|
{
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return status->float_detect_tininess;
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|
}
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static inline int get_float_rounding_mode(float_status *status)
|
|
{
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|
return status->float_rounding_mode;
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|
}
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static inline int get_float_exception_flags(float_status *status)
|
|
{
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|
return status->float_exception_flags;
|
|
}
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|
static inline int get_floatx80_rounding_precision(float_status *status)
|
|
{
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|
return status->floatx80_rounding_precision;
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|
}
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static inline flag get_flush_to_zero(float_status *status)
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|
{
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return status->flush_to_zero;
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|
}
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static inline flag get_flush_inputs_to_zero(float_status *status)
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|
{
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return status->flush_inputs_to_zero;
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}
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static inline flag get_default_nan_mode(float_status *status)
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{
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return status->default_nan_mode;
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}
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|
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/*----------------------------------------------------------------------------
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| Routine to raise any or all of the software IEC/IEEE floating-point
|
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| exception flags.
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*----------------------------------------------------------------------------*/
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void float_raise(uint8_t flags, float_status *status);
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|
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/*----------------------------------------------------------------------------
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| If `a' is denormal and we are in flush-to-zero mode then set the
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| input-denormal exception and return zero. Otherwise just return the value.
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*----------------------------------------------------------------------------*/
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float16 float16_squash_input_denormal(float16 a, float_status *status);
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float32 float32_squash_input_denormal(float32 a, float_status *status);
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float64 float64_squash_input_denormal(float64 a, float_status *status);
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|
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/*----------------------------------------------------------------------------
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| Options to indicate which negations to perform in float*_muladd()
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| Using these differs from negating an input or output before calling
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| the muladd function in that this means that a NaN doesn't have its
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| sign bit inverted before it is propagated.
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| We also support halving the result before rounding, as a special
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| case to support the ARM fused-sqrt-step instruction FRSQRTS.
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*----------------------------------------------------------------------------*/
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enum {
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float_muladd_negate_c = 1,
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float_muladd_negate_product = 2,
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float_muladd_negate_result = 4,
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float_muladd_halve_result = 8,
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};
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/*----------------------------------------------------------------------------
|
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| Software IEC/IEEE integer-to-floating-point conversion routines.
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|
*----------------------------------------------------------------------------*/
|
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float16 int16_to_float16_scalbn(int16_t a, int, float_status *status);
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float16 int32_to_float16_scalbn(int32_t a, int, float_status *status);
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float16 int64_to_float16_scalbn(int64_t a, int, float_status *status);
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float16 uint16_to_float16_scalbn(uint16_t a, int, float_status *status);
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float16 uint32_to_float16_scalbn(uint32_t a, int, float_status *status);
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float16 uint64_to_float16_scalbn(uint64_t a, int, float_status *status);
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|
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float16 int16_to_float16(int16_t a, float_status *status);
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float16 int32_to_float16(int32_t a, float_status *status);
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float16 int64_to_float16(int64_t a, float_status *status);
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float16 uint16_to_float16(uint16_t a, float_status *status);
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|
float16 uint32_to_float16(uint32_t a, float_status *status);
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float16 uint64_to_float16(uint64_t a, float_status *status);
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|
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float32 int16_to_float32_scalbn(int16_t, int, float_status *status);
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float32 int32_to_float32_scalbn(int32_t, int, float_status *status);
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float32 int64_to_float32_scalbn(int64_t, int, float_status *status);
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float32 uint16_to_float32_scalbn(uint16_t, int, float_status *status);
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float32 uint32_to_float32_scalbn(uint32_t, int, float_status *status);
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float32 uint64_to_float32_scalbn(uint64_t, int, float_status *status);
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|
|
float32 int16_to_float32(int16_t, float_status *status);
|
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float32 int32_to_float32(int32_t, float_status *status);
|
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float32 int64_to_float32(int64_t, float_status *status);
|
|
float32 uint16_to_float32(uint16_t, float_status *status);
|
|
float32 uint32_to_float32(uint32_t, float_status *status);
|
|
float32 uint64_to_float32(uint64_t, float_status *status);
|
|
|
|
float64 int16_to_float64_scalbn(int16_t, int, float_status *status);
|
|
float64 int32_to_float64_scalbn(int32_t, int, float_status *status);
|
|
float64 int64_to_float64_scalbn(int64_t, int, float_status *status);
|
|
float64 uint16_to_float64_scalbn(uint16_t, int, float_status *status);
|
|
float64 uint32_to_float64_scalbn(uint32_t, int, float_status *status);
|
|
float64 uint64_to_float64_scalbn(uint64_t, int, float_status *status);
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|
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float64 int16_to_float64(int16_t, float_status *status);
|
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float64 int32_to_float64(int32_t, float_status *status);
|
|
float64 int64_to_float64(int64_t, float_status *status);
|
|
float64 uint16_to_float64(uint16_t, float_status *status);
|
|
float64 uint32_to_float64(uint32_t, float_status *status);
|
|
float64 uint64_to_float64(uint64_t, float_status *status);
|
|
|
|
floatx80 int32_to_floatx80(int32_t, float_status *status);
|
|
floatx80 int64_to_floatx80(int64_t, float_status *status);
|
|
|
|
float128 int32_to_float128(int32_t, float_status *status);
|
|
float128 int64_to_float128(int64_t, float_status *status);
|
|
float128 uint64_to_float128(uint64_t, float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software half-precision conversion routines.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
float16 float32_to_float16(float32, bool ieee, float_status *status);
|
|
float32 float16_to_float32(float16, bool ieee, float_status *status);
|
|
float16 float64_to_float16(float64 a, bool ieee, float_status *status);
|
|
float64 float16_to_float64(float16 a, bool ieee, float_status *status);
|
|
|
|
int16_t float16_to_int16_scalbn(float16, int, int, float_status *status);
|
|
int32_t float16_to_int32_scalbn(float16, int, int, float_status *status);
|
|
int64_t float16_to_int64_scalbn(float16, int, int, float_status *status);
|
|
|
|
int16_t float16_to_int16(float16, float_status *status);
|
|
int32_t float16_to_int32(float16, float_status *status);
|
|
int64_t float16_to_int64(float16, float_status *status);
|
|
|
|
int16_t float16_to_int16_round_to_zero(float16, float_status *status);
|
|
int32_t float16_to_int32_round_to_zero(float16, float_status *status);
|
|
int64_t float16_to_int64_round_to_zero(float16, float_status *status);
|
|
|
|
uint16_t float16_to_uint16_scalbn(float16 a, int, int, float_status *status);
|
|
uint32_t float16_to_uint32_scalbn(float16 a, int, int, float_status *status);
|
|
uint64_t float16_to_uint64_scalbn(float16 a, int, int, float_status *status);
|
|
|
|
uint16_t float16_to_uint16(float16 a, float_status *status);
|
|
uint32_t float16_to_uint32(float16 a, float_status *status);
|
|
uint64_t float16_to_uint64(float16 a, float_status *status);
|
|
|
|
uint16_t float16_to_uint16_round_to_zero(float16 a, float_status *status);
|
|
uint32_t float16_to_uint32_round_to_zero(float16 a, float_status *status);
|
|
uint64_t float16_to_uint64_round_to_zero(float16 a, float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software half-precision operations.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
float16 float16_round_to_int(float16, float_status *status);
|
|
float16 float16_add(float16, float16, float_status *status);
|
|
float16 float16_sub(float16, float16, float_status *status);
|
|
float16 float16_mul(float16, float16, float_status *status);
|
|
float16 float16_muladd(float16, float16, float16, int, float_status *status);
|
|
float16 float16_div(float16, float16, float_status *status);
|
|
float16 float16_scalbn(float16, int, float_status *status);
|
|
float16 float16_min(float16, float16, float_status *status);
|
|
float16 float16_max(float16, float16, float_status *status);
|
|
float16 float16_minnum(float16, float16, float_status *status);
|
|
float16 float16_maxnum(float16, float16, float_status *status);
|
|
float16 float16_minnummag(float16, float16, float_status *status);
|
|
float16 float16_maxnummag(float16, float16, float_status *status);
|
|
float16 float16_sqrt(float16, float_status *status);
|
|
int float16_compare(float16, float16, float_status *status);
|
|
int float16_compare_quiet(float16, float16, float_status *status);
|
|
|
|
int float16_is_quiet_nan(float16, float_status *status);
|
|
int float16_is_signaling_nan(float16, float_status *status);
|
|
float16 float16_silence_nan(float16, float_status *status);
|
|
|
|
static inline int float16_is_any_nan(float16 a)
|
|
{
|
|
return ((float16_val(a) & ~0x8000) > 0x7c00);
|
|
}
|
|
|
|
static inline int float16_is_neg(float16 a)
|
|
{
|
|
return float16_val(a) >> 15;
|
|
}
|
|
|
|
static inline int float16_is_infinity(float16 a)
|
|
{
|
|
return (float16_val(a) & 0x7fff) == 0x7c00;
|
|
}
|
|
|
|
static inline int float16_is_zero(float16 a)
|
|
{
|
|
return (float16_val(a) & 0x7fff) == 0;
|
|
}
|
|
|
|
static inline int float16_is_zero_or_denormal(float16 a)
|
|
{
|
|
return (float16_val(a) & 0x7c00) == 0;
|
|
}
|
|
|
|
static inline float16 float16_abs(float16 a)
|
|
{
|
|
/* Note that abs does *not* handle NaN specially, nor does
|
|
* it flush denormal inputs to zero.
|
|
*/
|
|
return make_float16(float16_val(a) & 0x7fff);
|
|
}
|
|
|
|
static inline float16 float16_chs(float16 a)
|
|
{
|
|
/* Note that chs does *not* handle NaN specially, nor does
|
|
* it flush denormal inputs to zero.
|
|
*/
|
|
return make_float16(float16_val(a) ^ 0x8000);
|
|
}
|
|
|
|
static inline float16 float16_set_sign(float16 a, int sign)
|
|
{
|
|
return make_float16((float16_val(a) & 0x7fff) | (sign << 15));
|
|
}
|
|
|
|
#define float16_zero make_float16(0)
|
|
#define float16_half make_float16(0x3800)
|
|
#define float16_one make_float16(0x3c00)
|
|
#define float16_one_point_five make_float16(0x3e00)
|
|
#define float16_two make_float16(0x4000)
|
|
#define float16_three make_float16(0x4200)
|
|
#define float16_infinity make_float16(0x7c00)
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| The pattern for a default generated half-precision NaN.
|
|
*----------------------------------------------------------------------------*/
|
|
float16 float16_default_nan(float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software IEC/IEEE single-precision conversion routines.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
int16_t float32_to_int16_scalbn(float32, int, int, float_status *status);
|
|
int32_t float32_to_int32_scalbn(float32, int, int, float_status *status);
|
|
int64_t float32_to_int64_scalbn(float32, int, int, float_status *status);
|
|
|
|
int16_t float32_to_int16(float32, float_status *status);
|
|
int32_t float32_to_int32(float32, float_status *status);
|
|
int64_t float32_to_int64(float32, float_status *status);
|
|
|
|
int16_t float32_to_int16_round_to_zero(float32, float_status *status);
|
|
int32_t float32_to_int32_round_to_zero(float32, float_status *status);
|
|
int64_t float32_to_int64_round_to_zero(float32, float_status *status);
|
|
|
|
uint16_t float32_to_uint16_scalbn(float32, int, int, float_status *status);
|
|
uint32_t float32_to_uint32_scalbn(float32, int, int, float_status *status);
|
|
uint64_t float32_to_uint64_scalbn(float32, int, int, float_status *status);
|
|
|
|
uint16_t float32_to_uint16(float32, float_status *status);
|
|
uint32_t float32_to_uint32(float32, float_status *status);
|
|
uint64_t float32_to_uint64(float32, float_status *status);
|
|
|
|
uint16_t float32_to_uint16_round_to_zero(float32, float_status *status);
|
|
uint32_t float32_to_uint32_round_to_zero(float32, float_status *status);
|
|
uint64_t float32_to_uint64_round_to_zero(float32, float_status *status);
|
|
|
|
float64 float32_to_float64(float32, float_status *status);
|
|
floatx80 float32_to_floatx80(float32, float_status *status);
|
|
float128 float32_to_float128(float32, float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software IEC/IEEE single-precision operations.
|
|
*----------------------------------------------------------------------------*/
|
|
float32 float32_round_to_int(float32, float_status *status);
|
|
float32 float32_add(float32, float32, float_status *status);
|
|
float32 float32_sub(float32, float32, float_status *status);
|
|
float32 float32_mul(float32, float32, float_status *status);
|
|
float32 float32_div(float32, float32, float_status *status);
|
|
float32 float32_rem(float32, float32, float_status *status);
|
|
float32 float32_muladd(float32, float32, float32, int, float_status *status);
|
|
float32 float32_sqrt(float32, float_status *status);
|
|
float32 float32_exp2(float32, float_status *status);
|
|
float32 float32_log2(float32, float_status *status);
|
|
int float32_eq(float32, float32, float_status *status);
|
|
int float32_le(float32, float32, float_status *status);
|
|
int float32_lt(float32, float32, float_status *status);
|
|
int float32_unordered(float32, float32, float_status *status);
|
|
int float32_eq_quiet(float32, float32, float_status *status);
|
|
int float32_le_quiet(float32, float32, float_status *status);
|
|
int float32_lt_quiet(float32, float32, float_status *status);
|
|
int float32_unordered_quiet(float32, float32, float_status *status);
|
|
int float32_compare(float32, float32, float_status *status);
|
|
int float32_compare_quiet(float32, float32, float_status *status);
|
|
float32 float32_min(float32, float32, float_status *status);
|
|
float32 float32_max(float32, float32, float_status *status);
|
|
float32 float32_minnum(float32, float32, float_status *status);
|
|
float32 float32_maxnum(float32, float32, float_status *status);
|
|
float32 float32_minnummag(float32, float32, float_status *status);
|
|
float32 float32_maxnummag(float32, float32, float_status *status);
|
|
int float32_is_quiet_nan(float32, float_status *status);
|
|
int float32_is_signaling_nan(float32, float_status *status);
|
|
float32 float32_silence_nan(float32, float_status *status);
|
|
float32 float32_scalbn(float32, int, float_status *status);
|
|
|
|
static inline float32 float32_abs(float32 a)
|
|
{
|
|
/* Note that abs does *not* handle NaN specially, nor does
|
|
* it flush denormal inputs to zero.
|
|
*/
|
|
return make_float32(float32_val(a) & 0x7fffffff);
|
|
}
|
|
|
|
static inline float32 float32_chs(float32 a)
|
|
{
|
|
/* Note that chs does *not* handle NaN specially, nor does
|
|
* it flush denormal inputs to zero.
|
|
*/
|
|
return make_float32(float32_val(a) ^ 0x80000000);
|
|
}
|
|
|
|
static inline int float32_is_infinity(float32 a)
|
|
{
|
|
return (float32_val(a) & 0x7fffffff) == 0x7f800000;
|
|
}
|
|
|
|
static inline int float32_is_neg(float32 a)
|
|
{
|
|
return float32_val(a) >> 31;
|
|
}
|
|
|
|
static inline int float32_is_zero(float32 a)
|
|
{
|
|
return (float32_val(a) & 0x7fffffff) == 0;
|
|
}
|
|
|
|
static inline int float32_is_any_nan(float32 a)
|
|
{
|
|
return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
|
|
}
|
|
|
|
static inline int float32_is_zero_or_denormal(float32 a)
|
|
{
|
|
return (float32_val(a) & 0x7f800000) == 0;
|
|
}
|
|
|
|
static inline float32 float32_set_sign(float32 a, int sign)
|
|
{
|
|
return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
|
|
}
|
|
|
|
#define float32_zero make_float32(0)
|
|
#define float32_half make_float32(0x3f000000)
|
|
#define float32_one make_float32(0x3f800000)
|
|
#define float32_one_point_five make_float32(0x3fc00000)
|
|
#define float32_two make_float32(0x40000000)
|
|
#define float32_three make_float32(0x40400000)
|
|
#define float32_infinity make_float32(0x7f800000)
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
|
|
| single-precision floating-point value, returning the result. After being
|
|
| shifted into the proper positions, the three fields are simply added
|
|
| together to form the result. This means that any integer portion of `zSig'
|
|
| will be added into the exponent. Since a properly normalized significand
|
|
| will have an integer portion equal to 1, the `zExp' input should be 1 less
|
|
| than the desired result exponent whenever `zSig' is a complete, normalized
|
|
| significand.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
static inline float32 packFloat32(flag zSign, int zExp, uint32_t zSig)
|
|
{
|
|
return make_float32(
|
|
(((uint32_t)zSign) << 31) + (((uint32_t)zExp) << 23) + zSig);
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| The pattern for a default generated single-precision NaN.
|
|
*----------------------------------------------------------------------------*/
|
|
float32 float32_default_nan(float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software IEC/IEEE double-precision conversion routines.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
int16_t float64_to_int16_scalbn(float64, int, int, float_status *status);
|
|
int32_t float64_to_int32_scalbn(float64, int, int, float_status *status);
|
|
int64_t float64_to_int64_scalbn(float64, int, int, float_status *status);
|
|
|
|
int16_t float64_to_int16(float64, float_status *status);
|
|
int32_t float64_to_int32(float64, float_status *status);
|
|
int64_t float64_to_int64(float64, float_status *status);
|
|
|
|
int16_t float64_to_int16_round_to_zero(float64, float_status *status);
|
|
int32_t float64_to_int32_round_to_zero(float64, float_status *status);
|
|
int64_t float64_to_int64_round_to_zero(float64, float_status *status);
|
|
|
|
uint16_t float64_to_uint16_scalbn(float64, int, int, float_status *status);
|
|
uint32_t float64_to_uint32_scalbn(float64, int, int, float_status *status);
|
|
uint64_t float64_to_uint64_scalbn(float64, int, int, float_status *status);
|
|
|
|
uint16_t float64_to_uint16(float64, float_status *status);
|
|
uint32_t float64_to_uint32(float64, float_status *status);
|
|
uint64_t float64_to_uint64(float64, float_status *status);
|
|
|
|
uint16_t float64_to_uint16_round_to_zero(float64, float_status *status);
|
|
uint32_t float64_to_uint32_round_to_zero(float64, float_status *status);
|
|
uint64_t float64_to_uint64_round_to_zero(float64, float_status *status);
|
|
|
|
float32 float64_to_float32(float64, float_status *status);
|
|
floatx80 float64_to_floatx80(float64, float_status *status);
|
|
float128 float64_to_float128(float64, float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software IEC/IEEE double-precision operations.
|
|
*----------------------------------------------------------------------------*/
|
|
float64 float64_round_to_int(float64, float_status *status);
|
|
float64 float64_add(float64, float64, float_status *status);
|
|
float64 float64_sub(float64, float64, float_status *status);
|
|
float64 float64_mul(float64, float64, float_status *status);
|
|
float64 float64_div(float64, float64, float_status *status);
|
|
float64 float64_rem(float64, float64, float_status *status);
|
|
float64 float64_muladd(float64, float64, float64, int, float_status *status);
|
|
float64 float64_sqrt(float64, float_status *status);
|
|
float64 float64_log2(float64, float_status *status);
|
|
int float64_eq(float64, float64, float_status *status);
|
|
int float64_le(float64, float64, float_status *status);
|
|
int float64_lt(float64, float64, float_status *status);
|
|
int float64_unordered(float64, float64, float_status *status);
|
|
int float64_eq_quiet(float64, float64, float_status *status);
|
|
int float64_le_quiet(float64, float64, float_status *status);
|
|
int float64_lt_quiet(float64, float64, float_status *status);
|
|
int float64_unordered_quiet(float64, float64, float_status *status);
|
|
int float64_compare(float64, float64, float_status *status);
|
|
int float64_compare_quiet(float64, float64, float_status *status);
|
|
float64 float64_min(float64, float64, float_status *status);
|
|
float64 float64_max(float64, float64, float_status *status);
|
|
float64 float64_minnum(float64, float64, float_status *status);
|
|
float64 float64_maxnum(float64, float64, float_status *status);
|
|
float64 float64_minnummag(float64, float64, float_status *status);
|
|
float64 float64_maxnummag(float64, float64, float_status *status);
|
|
int float64_is_quiet_nan(float64 a, float_status *status);
|
|
int float64_is_signaling_nan(float64, float_status *status);
|
|
float64 float64_silence_nan(float64, float_status *status);
|
|
float64 float64_scalbn(float64, int, float_status *status);
|
|
|
|
static inline float64 float64_abs(float64 a)
|
|
{
|
|
/* Note that abs does *not* handle NaN specially, nor does
|
|
* it flush denormal inputs to zero.
|
|
*/
|
|
return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
|
|
}
|
|
|
|
static inline float64 float64_chs(float64 a)
|
|
{
|
|
/* Note that chs does *not* handle NaN specially, nor does
|
|
* it flush denormal inputs to zero.
|
|
*/
|
|
return make_float64(float64_val(a) ^ 0x8000000000000000LL);
|
|
}
|
|
|
|
static inline int float64_is_infinity(float64 a)
|
|
{
|
|
return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
|
|
}
|
|
|
|
static inline int float64_is_neg(float64 a)
|
|
{
|
|
return float64_val(a) >> 63;
|
|
}
|
|
|
|
static inline int float64_is_zero(float64 a)
|
|
{
|
|
return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
|
|
}
|
|
|
|
static inline int float64_is_any_nan(float64 a)
|
|
{
|
|
return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
|
|
}
|
|
|
|
static inline int float64_is_zero_or_denormal(float64 a)
|
|
{
|
|
return (float64_val(a) & 0x7ff0000000000000LL) == 0;
|
|
}
|
|
|
|
static inline float64 float64_set_sign(float64 a, int sign)
|
|
{
|
|
return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
|
|
| ((int64_t)sign << 63));
|
|
}
|
|
|
|
#define float64_zero make_float64(0)
|
|
#define float64_half make_float64(0x3fe0000000000000LL)
|
|
#define float64_one make_float64(0x3ff0000000000000LL)
|
|
#define float64_one_point_five make_float64(0x3FF8000000000000ULL)
|
|
#define float64_two make_float64(0x4000000000000000ULL)
|
|
#define float64_three make_float64(0x4008000000000000ULL)
|
|
#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
|
|
#define float64_infinity make_float64(0x7ff0000000000000LL)
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| The pattern for a default generated double-precision NaN.
|
|
*----------------------------------------------------------------------------*/
|
|
float64 float64_default_nan(float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software IEC/IEEE extended double-precision conversion routines.
|
|
*----------------------------------------------------------------------------*/
|
|
int32_t floatx80_to_int32(floatx80, float_status *status);
|
|
int32_t floatx80_to_int32_round_to_zero(floatx80, float_status *status);
|
|
int64_t floatx80_to_int64(floatx80, float_status *status);
|
|
int64_t floatx80_to_int64_round_to_zero(floatx80, float_status *status);
|
|
float32 floatx80_to_float32(floatx80, float_status *status);
|
|
float64 floatx80_to_float64(floatx80, float_status *status);
|
|
float128 floatx80_to_float128(floatx80, float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| The pattern for an extended double-precision inf.
|
|
*----------------------------------------------------------------------------*/
|
|
extern const floatx80 floatx80_infinity;
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software IEC/IEEE extended double-precision operations.
|
|
*----------------------------------------------------------------------------*/
|
|
floatx80 floatx80_round(floatx80 a, float_status *status);
|
|
floatx80 floatx80_round_to_int(floatx80, float_status *status);
|
|
floatx80 floatx80_add(floatx80, floatx80, float_status *status);
|
|
floatx80 floatx80_sub(floatx80, floatx80, float_status *status);
|
|
floatx80 floatx80_mul(floatx80, floatx80, float_status *status);
|
|
floatx80 floatx80_div(floatx80, floatx80, float_status *status);
|
|
floatx80 floatx80_rem(floatx80, floatx80, float_status *status);
|
|
floatx80 floatx80_sqrt(floatx80, float_status *status);
|
|
int floatx80_eq(floatx80, floatx80, float_status *status);
|
|
int floatx80_le(floatx80, floatx80, float_status *status);
|
|
int floatx80_lt(floatx80, floatx80, float_status *status);
|
|
int floatx80_unordered(floatx80, floatx80, float_status *status);
|
|
int floatx80_eq_quiet(floatx80, floatx80, float_status *status);
|
|
int floatx80_le_quiet(floatx80, floatx80, float_status *status);
|
|
int floatx80_lt_quiet(floatx80, floatx80, float_status *status);
|
|
int floatx80_unordered_quiet(floatx80, floatx80, float_status *status);
|
|
int floatx80_compare(floatx80, floatx80, float_status *status);
|
|
int floatx80_compare_quiet(floatx80, floatx80, float_status *status);
|
|
int floatx80_is_quiet_nan(floatx80, float_status *status);
|
|
int floatx80_is_signaling_nan(floatx80, float_status *status);
|
|
floatx80 floatx80_silence_nan(floatx80, float_status *status);
|
|
floatx80 floatx80_scalbn(floatx80, int, float_status *status);
|
|
|
|
static inline floatx80 floatx80_abs(floatx80 a)
|
|
{
|
|
a.high &= 0x7fff;
|
|
return a;
|
|
}
|
|
|
|
static inline floatx80 floatx80_chs(floatx80 a)
|
|
{
|
|
a.high ^= 0x8000;
|
|
return a;
|
|
}
|
|
|
|
static inline int floatx80_is_infinity(floatx80 a)
|
|
{
|
|
#if defined(TARGET_M68K)
|
|
return (a.high & 0x7fff) == floatx80_infinity.high && !(a.low << 1);
|
|
#else
|
|
return (a.high & 0x7fff) == floatx80_infinity.high &&
|
|
a.low == floatx80_infinity.low;
|
|
#endif
|
|
}
|
|
|
|
static inline int floatx80_is_neg(floatx80 a)
|
|
{
|
|
return a.high >> 15;
|
|
}
|
|
|
|
static inline int floatx80_is_zero(floatx80 a)
|
|
{
|
|
return (a.high & 0x7fff) == 0 && a.low == 0;
|
|
}
|
|
|
|
static inline int floatx80_is_zero_or_denormal(floatx80 a)
|
|
{
|
|
return (a.high & 0x7fff) == 0;
|
|
}
|
|
|
|
static inline int floatx80_is_any_nan(floatx80 a)
|
|
{
|
|
return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Return whether the given value is an invalid floatx80 encoding.
|
|
| Invalid floatx80 encodings arise when the integer bit is not set, but
|
|
| the exponent is not zero. The only times the integer bit is permitted to
|
|
| be zero is in subnormal numbers and the value zero.
|
|
| This includes what the Intel software developer's manual calls pseudo-NaNs,
|
|
| pseudo-infinities and un-normal numbers. It does not include
|
|
| pseudo-denormals, which must still be correctly handled as inputs even
|
|
| if they are never generated as outputs.
|
|
*----------------------------------------------------------------------------*/
|
|
static inline bool floatx80_invalid_encoding(floatx80 a)
|
|
{
|
|
return (a.low & (1ULL << 63)) == 0 && (a.high & 0x7FFF) != 0;
|
|
}
|
|
|
|
#define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
|
|
#define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
|
|
#define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
|
|
#define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
|
|
#define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Returns the fraction bits of the extended double-precision floating-point
|
|
| value `a'.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
static inline uint64_t extractFloatx80Frac(floatx80 a)
|
|
{
|
|
return a.low;
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Returns the exponent bits of the extended double-precision floating-point
|
|
| value `a'.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
static inline int32_t extractFloatx80Exp(floatx80 a)
|
|
{
|
|
return a.high & 0x7FFF;
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Returns the sign bit of the extended double-precision floating-point value
|
|
| `a'.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
static inline flag extractFloatx80Sign(floatx80 a)
|
|
{
|
|
return a.high >> 15;
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Packs the sign `zSign', exponent `zExp', and significand `zSig' into an
|
|
| extended double-precision floating-point value, returning the result.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
static inline floatx80 packFloatx80(flag zSign, int32_t zExp, uint64_t zSig)
|
|
{
|
|
floatx80 z;
|
|
|
|
z.low = zSig;
|
|
z.high = (((uint16_t)zSign) << 15) + zExp;
|
|
return z;
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Normalizes the subnormal extended double-precision floating-point value
|
|
| represented by the denormalized significand `aSig'. The normalized exponent
|
|
| and significand are stored at the locations pointed to by `zExpPtr' and
|
|
| `zSigPtr', respectively.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
void normalizeFloatx80Subnormal(uint64_t aSig, int32_t *zExpPtr,
|
|
uint64_t *zSigPtr);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Takes two extended double-precision floating-point values `a' and `b', one
|
|
| of which is a NaN, and returns the appropriate NaN result. If either `a' or
|
|
| `b' is a signaling NaN, the invalid exception is raised.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
floatx80 propagateFloatx80NaN(floatx80 a, floatx80 b, float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
|
|
| and extended significand formed by the concatenation of `zSig0' and `zSig1',
|
|
| and returns the proper extended double-precision floating-point value
|
|
| corresponding to the abstract input. Ordinarily, the abstract value is
|
|
| rounded and packed into the extended double-precision format, with the
|
|
| inexact exception raised if the abstract input cannot be represented
|
|
| exactly. However, if the abstract value is too large, the overflow and
|
|
| inexact exceptions are raised and an infinity or maximal finite value is
|
|
| returned. If the abstract value is too small, the input value is rounded to
|
|
| a subnormal number, and the underflow and inexact exceptions are raised if
|
|
| the abstract input cannot be represented exactly as a subnormal extended
|
|
| double-precision floating-point number.
|
|
| If `roundingPrecision' is 32 or 64, the result is rounded to the same
|
|
| number of bits as single or double precision, respectively. Otherwise, the
|
|
| result is rounded to the full precision of the extended double-precision
|
|
| format.
|
|
| The input significand must be normalized or smaller. If the input
|
|
| significand is not normalized, `zExp' must be 0; in that case, the result
|
|
| returned is a subnormal number, and it must not require rounding. The
|
|
| handling of underflow and overflow follows the IEC/IEEE Standard for Binary
|
|
| Floating-Point Arithmetic.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
floatx80 roundAndPackFloatx80(int8_t roundingPrecision, flag zSign,
|
|
int32_t zExp, uint64_t zSig0, uint64_t zSig1,
|
|
float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Takes an abstract floating-point value having sign `zSign', exponent
|
|
| `zExp', and significand formed by the concatenation of `zSig0' and `zSig1',
|
|
| and returns the proper extended double-precision floating-point value
|
|
| corresponding to the abstract input. This routine is just like
|
|
| `roundAndPackFloatx80' except that the input significand does not have to be
|
|
| normalized.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
floatx80 normalizeRoundAndPackFloatx80(int8_t roundingPrecision,
|
|
flag zSign, int32_t zExp,
|
|
uint64_t zSig0, uint64_t zSig1,
|
|
float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| The pattern for a default generated extended double-precision NaN.
|
|
*----------------------------------------------------------------------------*/
|
|
floatx80 floatx80_default_nan(float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software IEC/IEEE quadruple-precision conversion routines.
|
|
*----------------------------------------------------------------------------*/
|
|
int32_t float128_to_int32(float128, float_status *status);
|
|
int32_t float128_to_int32_round_to_zero(float128, float_status *status);
|
|
int64_t float128_to_int64(float128, float_status *status);
|
|
int64_t float128_to_int64_round_to_zero(float128, float_status *status);
|
|
uint64_t float128_to_uint64(float128, float_status *status);
|
|
uint64_t float128_to_uint64_round_to_zero(float128, float_status *status);
|
|
uint32_t float128_to_uint32_round_to_zero(float128, float_status *status);
|
|
float32 float128_to_float32(float128, float_status *status);
|
|
float64 float128_to_float64(float128, float_status *status);
|
|
floatx80 float128_to_floatx80(float128, float_status *status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Software IEC/IEEE quadruple-precision operations.
|
|
*----------------------------------------------------------------------------*/
|
|
float128 float128_round_to_int(float128, float_status *status);
|
|
float128 float128_add(float128, float128, float_status *status);
|
|
float128 float128_sub(float128, float128, float_status *status);
|
|
float128 float128_mul(float128, float128, float_status *status);
|
|
float128 float128_div(float128, float128, float_status *status);
|
|
float128 float128_rem(float128, float128, float_status *status);
|
|
float128 float128_sqrt(float128, float_status *status);
|
|
int float128_eq(float128, float128, float_status *status);
|
|
int float128_le(float128, float128, float_status *status);
|
|
int float128_lt(float128, float128, float_status *status);
|
|
int float128_unordered(float128, float128, float_status *status);
|
|
int float128_eq_quiet(float128, float128, float_status *status);
|
|
int float128_le_quiet(float128, float128, float_status *status);
|
|
int float128_lt_quiet(float128, float128, float_status *status);
|
|
int float128_unordered_quiet(float128, float128, float_status *status);
|
|
int float128_compare(float128, float128, float_status *status);
|
|
int float128_compare_quiet(float128, float128, float_status *status);
|
|
int float128_is_quiet_nan(float128, float_status *status);
|
|
int float128_is_signaling_nan(float128, float_status *status);
|
|
float128 float128_silence_nan(float128, float_status *status);
|
|
float128 float128_scalbn(float128, int, float_status *status);
|
|
|
|
static inline float128 float128_abs(float128 a)
|
|
{
|
|
a.high &= 0x7fffffffffffffffLL;
|
|
return a;
|
|
}
|
|
|
|
static inline float128 float128_chs(float128 a)
|
|
{
|
|
a.high ^= 0x8000000000000000LL;
|
|
return a;
|
|
}
|
|
|
|
static inline int float128_is_infinity(float128 a)
|
|
{
|
|
return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
|
|
}
|
|
|
|
static inline int float128_is_neg(float128 a)
|
|
{
|
|
return a.high >> 63;
|
|
}
|
|
|
|
static inline int float128_is_zero(float128 a)
|
|
{
|
|
return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
|
|
}
|
|
|
|
static inline int float128_is_zero_or_denormal(float128 a)
|
|
{
|
|
return (a.high & 0x7fff000000000000LL) == 0;
|
|
}
|
|
|
|
static inline int float128_is_any_nan(float128 a)
|
|
{
|
|
return ((a.high >> 48) & 0x7fff) == 0x7fff &&
|
|
((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
|
|
}
|
|
|
|
#define float128_zero make_float128(0, 0)
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| The pattern for a default generated quadruple-precision NaN.
|
|
*----------------------------------------------------------------------------*/
|
|
float128 float128_default_nan(float_status *status);
|
|
|
|
#endif /* SOFTFLOAT_H */
|