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softfloat.h revision 1.2.6.1
      1  1.2.6.1  simonb /* $NetBSD: softfloat.h,v 1.2.6.1 2006/04/22 11:40:05 simonb Exp $ */
      2      1.1    ross 
      3      1.1    ross /* This is a derivative work. */
      4      1.1    ross 
      5      1.1    ross /*-
      6      1.1    ross  * Copyright (c) 2001 The NetBSD Foundation, Inc.
      7      1.1    ross  * All rights reserved.
      8      1.1    ross  *
      9      1.1    ross  * This code is derived from software contributed to The NetBSD Foundation
     10      1.1    ross  * by Ross Harvey.
     11      1.1    ross  *
     12      1.1    ross  * Redistribution and use in source and binary forms, with or without
     13      1.1    ross  * modification, are permitted provided that the following conditions
     14      1.1    ross  * are met:
     15      1.1    ross  * 1. Redistributions of source code must retain the above copyright
     16      1.1    ross  *    notice, this list of conditions and the following disclaimer.
     17      1.1    ross  * 2. Redistributions in binary form must reproduce the above copyright
     18      1.1    ross  *    notice, this list of conditions and the following disclaimer in the
     19      1.1    ross  *    documentation and/or other materials provided with the distribution.
     20      1.1    ross  * 3. All advertising materials mentioning features or use of this software
     21      1.1    ross  *    must display the following acknowledgement:
     22      1.1    ross  *        This product includes software developed by the NetBSD
     23      1.1    ross  *        Foundation, Inc. and its contributors.
     24      1.1    ross  * 4. Neither the name of The NetBSD Foundation nor the names of its
     25      1.1    ross  *    contributors may be used to endorse or promote products derived
     26      1.1    ross  *    from this software without specific prior written permission.
     27      1.1    ross  *
     28      1.1    ross  * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
     29      1.1    ross  * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
     30      1.1    ross  * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
     31      1.1    ross  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
     32      1.1    ross  * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
     33      1.1    ross  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
     34      1.1    ross  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
     35      1.1    ross  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
     36      1.1    ross  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     37      1.1    ross  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
     38      1.1    ross  * POSSIBILITY OF SUCH DAMAGE.
     39      1.1    ross  */
     40      1.1    ross 
     41      1.1    ross /*
     42      1.1    ross ===============================================================================
     43      1.1    ross 
     44      1.1    ross This C header file is part of the SoftFloat IEC/IEEE Floating-point
     45      1.1    ross Arithmetic Package, Release 2a.
     46      1.1    ross 
     47      1.1    ross Written by John R. Hauser.  This work was made possible in part by the
     48      1.1    ross International Computer Science Institute, located at Suite 600, 1947 Center
     49      1.1    ross Street, Berkeley, California 94704.  Funding was partially provided by the
     50      1.1    ross National Science Foundation under grant MIP-9311980.  The original version
     51      1.1    ross of this code was written as part of a project to build a fixed-point vector
     52      1.1    ross processor in collaboration with the University of California at Berkeley,
     53      1.1    ross overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
     54      1.1    ross is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
     55      1.1    ross arithmetic/SoftFloat.html'.
     56      1.1    ross 
     57      1.1    ross THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
     58      1.1    ross has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
     59      1.1    ross TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
     60      1.1    ross PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
     61      1.1    ross AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
     62      1.1    ross 
     63      1.1    ross Derivative works are acceptable, even for commercial purposes, so long as
     64      1.1    ross (1) they include prominent notice that the work is derivative, and (2) they
     65      1.1    ross include prominent notice akin to these four paragraphs for those parts of
     66      1.1    ross this code that are retained.
     67      1.1    ross 
     68      1.1    ross ===============================================================================
     69      1.1    ross */
     70      1.1    ross 
     71      1.1    ross #include <sys/types.h>
     72      1.1    ross 
     73      1.1    ross #if !defined(_KERNEL) && !defined(_STANDALONE)
     74      1.1    ross #include <inttypes.h>
     75      1.1    ross #include <ieeefp.h>
     76      1.1    ross #else
     77      1.1    ross #include "sys/inttypes.h"
     78      1.1    ross #include "machine/ieeefp.h"
     79      1.1    ross #endif
     80      1.1    ross #include <sys/endian.h>
     81      1.1    ross 
     82      1.1    ross /*
     83      1.1    ross -------------------------------------------------------------------------------
     84      1.1    ross The macro `FLOATX80' must be defined to enable the extended double-precision
     85      1.1    ross floating-point format `floatx80'.  If this macro is not defined, the
     86      1.1    ross `floatx80' type will not be defined, and none of the functions that either
     87      1.1    ross input or output the `floatx80' type will be defined.  The same applies to
     88      1.1    ross the `FLOAT128' macro and the quadruple-precision format `float128'.
     89      1.1    ross -------------------------------------------------------------------------------
     90      1.1    ross */
     91      1.1    ross /* #define FLOATX80 */
     92      1.1    ross /* #define FLOAT128 */
     93      1.1    ross 
     94      1.1    ross /*
     95      1.1    ross -------------------------------------------------------------------------------
     96      1.1    ross Software IEC/IEEE floating-point types.
     97      1.1    ross -------------------------------------------------------------------------------
     98      1.1    ross */
     99      1.1    ross typedef u_int32_t float32;
    100      1.1    ross typedef u_int64_t float64;
    101      1.1    ross #ifdef FLOATX80
    102      1.1    ross typedef struct {
    103      1.1    ross #if BYTE_ORDER == BIG_ENDIAN
    104      1.1    ross     u_int16_t high;
    105      1.1    ross     u_int64_t low;
    106      1.1    ross #else
    107      1.1    ross     u_int64_t low;
    108      1.1    ross     u_int16_t high;
    109      1.1    ross #endif
    110      1.1    ross } floatx80;
    111      1.1    ross #endif
    112      1.1    ross #ifdef FLOAT128
    113      1.1    ross typedef struct {
    114      1.1    ross     u_int64_t high, low;
    115      1.1    ross } float128;
    116      1.1    ross #endif
    117      1.1    ross 
    118      1.1    ross /*
    119      1.1    ross  * Some of the global variables that used to be here have been removed for
    120      1.1    ross  * fairly obvious (defopt-MULTIPROCESSOR) reasons.  The rest (which don't
    121      1.1    ross  * change dynamically) will be removed later. [ross]
    122      1.1    ross  */
    123      1.1    ross 
    124      1.1    ross #define float_rounding_mode() fpgetround()
    125      1.1    ross 
    126      1.1    ross /*
    127      1.1    ross -------------------------------------------------------------------------------
    128      1.1    ross Software IEC/IEEE floating-point underflow tininess-detection mode.
    129      1.1    ross -------------------------------------------------------------------------------
    130      1.1    ross */
    131      1.1    ross 
    132      1.1    ross extern int float_detect_tininess;
    133      1.1    ross enum {
    134      1.1    ross     float_tininess_after_rounding  = 1,
    135      1.1    ross     float_tininess_before_rounding = 0
    136      1.1    ross };
    137      1.1    ross 
    138      1.1    ross /*
    139      1.1    ross -------------------------------------------------------------------------------
    140      1.1    ross Software IEC/IEEE floating-point rounding mode.
    141      1.1    ross -------------------------------------------------------------------------------
    142      1.1    ross */
    143      1.1    ross 
    144      1.1    ross enum {
    145      1.1    ross     float_round_nearest_even = FP_RN,
    146      1.1    ross     float_round_to_zero      = FP_RZ,
    147      1.1    ross     float_round_down         = FP_RM,
    148      1.1    ross     float_round_up           = FP_RP
    149      1.1    ross };
    150      1.1    ross 
    151      1.1    ross /*
    152      1.1    ross -------------------------------------------------------------------------------
    153      1.1    ross Software IEC/IEEE floating-point exception flags.
    154      1.1    ross -------------------------------------------------------------------------------
    155      1.1    ross */
    156      1.1    ross 
    157      1.1    ross enum {
    158      1.1    ross     float_flag_inexact   =  FP_X_IMP,
    159      1.1    ross     float_flag_underflow =  FP_X_UFL,
    160      1.1    ross     float_flag_overflow  =  FP_X_OFL,
    161      1.1    ross     float_flag_divbyzero =  FP_X_DZ,
    162      1.1    ross     float_flag_invalid   =  FP_X_INV
    163      1.1    ross };
    164      1.1    ross 
    165      1.1    ross /*
    166      1.1    ross -------------------------------------------------------------------------------
    167      1.1    ross Software IEC/IEEE integer-to-floating-point conversion routines.
    168      1.1    ross -------------------------------------------------------------------------------
    169      1.1    ross */
    170      1.1    ross float32 int32_to_float32( int );
    171      1.1    ross float64 int32_to_float64( int );
    172      1.1    ross #ifdef FLOATX80
    173      1.1    ross floatx80 int32_to_floatx80( int );
    174      1.1    ross #endif
    175      1.1    ross #ifdef FLOAT128
    176      1.1    ross float128 int32_to_float128( int );
    177      1.1    ross #endif
    178      1.1    ross #ifndef SOFTFLOAT_FOR_GCC /* __floatdi?f is in libgcc2.c */
    179      1.1    ross float32 int64_to_float32( int64_t );
    180      1.1    ross float64 int64_to_float64( int64_t );
    181      1.1    ross #ifdef FLOATX80
    182      1.1    ross floatx80 int64_to_floatx80( int64_t );
    183      1.1    ross #endif
    184      1.1    ross #ifdef FLOAT128
    185      1.1    ross float128 int64_to_float128( int64_t );
    186      1.1    ross #endif
    187      1.1    ross #endif
    188      1.1    ross 
    189      1.1    ross /*
    190      1.1    ross -------------------------------------------------------------------------------
    191      1.1    ross Software IEC/IEEE single-precision conversion routines.
    192      1.1    ross -------------------------------------------------------------------------------
    193      1.1    ross */
    194      1.1    ross int float32_to_int32( float32 );
    195      1.1    ross int float32_to_int32_round_to_zero( float32 );
    196      1.1    ross #ifndef SOFTFLOAT_FOR_GCC /* __fix?fdi provided by libgcc2.c */
    197      1.1    ross int64_t float32_to_int64( float32 );
    198      1.1    ross int64_t float32_to_int64_round_to_zero( float32 );
    199      1.1    ross #endif
    200      1.1    ross float64 float32_to_float64( float32 );
    201      1.1    ross #ifdef FLOATX80
    202      1.1    ross floatx80 float32_to_floatx80( float32 );
    203      1.1    ross #endif
    204      1.1    ross #ifdef FLOAT128
    205      1.1    ross float128 float32_to_float128( float32 );
    206      1.1    ross #endif
    207      1.1    ross 
    208      1.1    ross /*
    209      1.1    ross -------------------------------------------------------------------------------
    210      1.1    ross Software IEC/IEEE single-precision operations.
    211      1.1    ross -------------------------------------------------------------------------------
    212      1.1    ross */
    213      1.1    ross float32 float32_round_to_int( float32 );
    214      1.1    ross float32 float32_add( float32, float32 );
    215      1.1    ross float32 float32_sub( float32, float32 );
    216      1.1    ross float32 float32_mul( float32, float32 );
    217      1.1    ross float32 float32_div( float32, float32 );
    218      1.1    ross float32 float32_rem( float32, float32 );
    219      1.1    ross float32 float32_sqrt( float32 );
    220      1.1    ross int float32_eq( float32, float32 );
    221      1.1    ross int float32_le( float32, float32 );
    222      1.1    ross int float32_lt( float32, float32 );
    223      1.1    ross int float32_eq_signaling( float32, float32 );
    224      1.1    ross int float32_le_quiet( float32, float32 );
    225      1.1    ross int float32_lt_quiet( float32, float32 );
    226      1.1    ross #ifndef SOFTFLOAT_FOR_GCC
    227      1.1    ross int float32_is_signaling_nan( float32 );
    228      1.1    ross #endif
    229      1.1    ross 
    230      1.1    ross /*
    231      1.1    ross -------------------------------------------------------------------------------
    232      1.1    ross Software IEC/IEEE double-precision conversion routines.
    233      1.1    ross -------------------------------------------------------------------------------
    234      1.1    ross */
    235      1.1    ross int float64_to_int32( float64 );
    236      1.1    ross int float64_to_int32_round_to_zero( float64 );
    237      1.1    ross #ifndef SOFTFLOAT_FOR_GCC /* __fix?fdi provided by libgcc2.c */
    238      1.1    ross int64_t float64_to_int64( float64 );
    239      1.1    ross int64_t float64_to_int64_round_to_zero( float64 );
    240      1.1    ross #endif
    241      1.1    ross float32 float64_to_float32( float64 );
    242      1.1    ross #ifdef FLOATX80
    243      1.1    ross floatx80 float64_to_floatx80( float64 );
    244      1.1    ross #endif
    245      1.1    ross #ifdef FLOAT128
    246      1.1    ross float128 float64_to_float128( float64 );
    247      1.1    ross #endif
    248      1.1    ross 
    249      1.1    ross /*
    250      1.1    ross -------------------------------------------------------------------------------
    251      1.1    ross Software IEC/IEEE double-precision operations.
    252      1.1    ross -------------------------------------------------------------------------------
    253      1.1    ross */
    254      1.1    ross #define float64_default_nan 0xFFF8000000000000LL
    255      1.1    ross 
    256  1.2.6.1  simonb static __inline int
    257      1.1    ross float64_is_nan(float64 a)
    258      1.1    ross {
    259      1.1    ross 	return 0xFFE0000000000000LL < a << 1;
    260      1.1    ross }
    261      1.1    ross 
    262  1.2.6.1  simonb static __inline int
    263      1.1    ross float64_is_signaling_nan(float64 a)
    264      1.1    ross {
    265      1.1    ross 	return (a >> 51 & 0xFFF) == 0xFFE && (a & 0x0007FFFFFFFFFFFFLL);
    266      1.1    ross }
    267      1.1    ross 
    268      1.1    ross float64 float64_round_to_int( float64 );
    269      1.1    ross float64 float64_add( float64, float64 );
    270      1.1    ross float64 float64_sub( float64, float64 );
    271      1.1    ross float64 float64_mul( float64, float64 );
    272      1.1    ross float64 float64_div( float64, float64 );
    273      1.1    ross float64 float64_rem( float64, float64 );
    274      1.1    ross float64 float64_sqrt( float64 );
    275      1.1    ross int float64_eq( float64, float64 );
    276      1.1    ross int float64_le( float64, float64 );
    277      1.1    ross int float64_lt( float64, float64 );
    278      1.1    ross int float64_eq_signaling( float64, float64 );
    279      1.1    ross int float64_le_quiet( float64, float64 );
    280      1.1    ross int float64_lt_quiet( float64, float64 );
    281      1.1    ross #ifndef SOFTFLOAT_FOR_GCC
    282      1.1    ross int float64_is_signaling_nan( float64 );
    283      1.1    ross #endif
    284      1.1    ross 
    285      1.1    ross #ifdef FLOATX80
    286      1.1    ross 
    287      1.1    ross /*
    288      1.1    ross -------------------------------------------------------------------------------
    289      1.1    ross Software IEC/IEEE extended double-precision conversion routines.
    290      1.1    ross -------------------------------------------------------------------------------
    291      1.1    ross */
    292      1.1    ross int floatx80_to_int32( floatx80 );
    293      1.1    ross int floatx80_to_int32_round_to_zero( floatx80 );
    294      1.1    ross int64_t floatx80_to_int64( floatx80 );
    295      1.1    ross int64_t floatx80_to_int64_round_to_zero( floatx80 );
    296      1.1    ross float32 floatx80_to_float32( floatx80 );
    297      1.1    ross float64 floatx80_to_float64( floatx80 );
    298      1.1    ross #ifdef FLOAT128
    299      1.1    ross float128 floatx80_to_float128( floatx80 );
    300      1.1    ross #endif
    301      1.1    ross 
    302      1.1    ross /*
    303      1.1    ross -------------------------------------------------------------------------------
    304      1.1    ross Software IEC/IEEE extended double-precision rounding precision.  Valid
    305      1.1    ross values are 32, 64, and 80.
    306      1.1    ross -------------------------------------------------------------------------------
    307      1.1    ross */
    308      1.1    ross extern int floatx80_rounding_precision;
    309      1.1    ross 
    310      1.1    ross /*
    311      1.1    ross -------------------------------------------------------------------------------
    312      1.1    ross Software IEC/IEEE extended double-precision operations.
    313      1.1    ross -------------------------------------------------------------------------------
    314      1.1    ross */
    315      1.1    ross floatx80 floatx80_round_to_int( floatx80 );
    316      1.1    ross floatx80 floatx80_add( floatx80, floatx80 );
    317      1.1    ross floatx80 floatx80_sub( floatx80, floatx80 );
    318      1.1    ross floatx80 floatx80_mul( floatx80, floatx80 );
    319      1.1    ross floatx80 floatx80_div( floatx80, floatx80 );
    320      1.1    ross floatx80 floatx80_rem( floatx80, floatx80 );
    321      1.1    ross floatx80 floatx80_sqrt( floatx80 );
    322      1.1    ross int floatx80_eq( floatx80, floatx80 );
    323      1.1    ross int floatx80_le( floatx80, floatx80 );
    324      1.1    ross int floatx80_lt( floatx80, floatx80 );
    325      1.1    ross int floatx80_eq_signaling( floatx80, floatx80 );
    326      1.1    ross int floatx80_le_quiet( floatx80, floatx80 );
    327      1.1    ross int floatx80_lt_quiet( floatx80, floatx80 );
    328      1.1    ross int floatx80_is_signaling_nan( floatx80 );
    329      1.1    ross 
    330      1.1    ross #endif
    331      1.1    ross 
    332      1.1    ross #ifdef FLOAT128
    333      1.1    ross 
    334      1.1    ross /*
    335      1.1    ross -------------------------------------------------------------------------------
    336      1.1    ross Software IEC/IEEE quadruple-precision conversion routines.
    337      1.1    ross -------------------------------------------------------------------------------
    338      1.1    ross */
    339      1.1    ross int float128_to_int32( float128 );
    340      1.1    ross int float128_to_int32_round_to_zero( float128 );
    341      1.1    ross int64_t float128_to_int64( float128 );
    342      1.1    ross int64_t float128_to_int64_round_to_zero( float128 );
    343      1.1    ross float32 float128_to_float32( float128 );
    344      1.1    ross float64 float128_to_float64( float128 );
    345      1.1    ross #ifdef FLOATX80
    346      1.1    ross floatx80 float128_to_floatx80( float128 );
    347      1.1    ross #endif
    348      1.1    ross 
    349      1.1    ross /*
    350      1.1    ross -------------------------------------------------------------------------------
    351      1.1    ross Software IEC/IEEE quadruple-precision operations.
    352      1.1    ross -------------------------------------------------------------------------------
    353      1.1    ross */
    354      1.1    ross float128 float128_round_to_int( float128 );
    355      1.1    ross float128 float128_add( float128, float128 );
    356      1.1    ross float128 float128_sub( float128, float128 );
    357      1.1    ross float128 float128_mul( float128, float128 );
    358      1.1    ross float128 float128_div( float128, float128 );
    359      1.1    ross float128 float128_rem( float128, float128 );
    360      1.1    ross float128 float128_sqrt( float128 );
    361      1.1    ross int float128_eq( float128, float128 );
    362      1.1    ross int float128_le( float128, float128 );
    363      1.1    ross int float128_lt( float128, float128 );
    364      1.1    ross int float128_eq_signaling( float128, float128 );
    365      1.1    ross int float128_le_quiet( float128, float128 );
    366      1.1    ross int float128_lt_quiet( float128, float128 );
    367      1.1    ross int float128_is_signaling_nan( float128 );
    368      1.1    ross 
    369      1.1    ross #endif
    370      1.1    ross 
    371