Mercurial > mxe-octave
comparison src/build-msvctools/math/round_internal.h @ 3061:f8299bb6c872
Initial support for native MSVC compilation.
* add MSVC support files: compiler wrappers and support libraries
* adapt libiconv to work with MSVC
* adapt gettext to work with MSVC
author | Michael Goffioul <michael.goffioul@gmail.com> |
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date | Mon, 17 Jun 2013 22:43:11 -0400 |
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3060:cbdf4575016d | 3061:f8299bb6c872 |
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1 #ifndef _ROUND_INTERNAL_H | |
2 /* | |
3 * round_internal.h | |
4 * | |
5 * $Id: round_internal.h,v 1.1 2008/06/03 18:42:21 keithmarshall Exp $ | |
6 * | |
7 * Provides a generic implementation of the numerical rounding | |
8 * algorithm, which is shared by all functions in the `round()', | |
9 * `lround()' and `llround()' families. | |
10 * | |
11 * Written by Keith Marshall <keithmarshall@users.sourceforge.net> | |
12 * | |
13 * This is free software. You may redistribute and/or modify it as you | |
14 * see fit, without restriction of copyright. | |
15 * | |
16 * This software is provided "as is", in the hope that it may be useful, | |
17 * but WITHOUT WARRANTY OF ANY KIND, not even any implied warranty of | |
18 * MERCHANTABILITY, nor of FITNESS FOR ANY PARTICULAR PURPOSE. At no | |
19 * time will the author accept any form of liability for any damages, | |
20 * however caused, resulting from the use of this software. | |
21 * | |
22 */ | |
23 #define _ROUND_INTERNAL_H | |
24 | |
25 #include <math.h> | |
26 #include <fenv.h> | |
27 | |
28 #define TYPE_PASTE( NAME, TYPE ) NAME##TYPE | |
29 | |
30 #define INPUT_TYPE INPUT_TYPEDEF( FUNCTION ) | |
31 #define INPUT_TYPEDEF( FUNCTION ) TYPE_PASTE( FUNCTION, _input_type ) | |
32 /* | |
33 * The types for the formal parameter, to each of the derived functions. | |
34 */ | |
35 #define round_input_type double | |
36 #define roundf_input_type float | |
37 #define roundl_input_type long double | |
38 | |
39 #define lround_input_type double | |
40 #define lroundf_input_type float | |
41 #define lroundl_input_type long double | |
42 | |
43 #define llround_input_type double | |
44 #define llroundf_input_type float | |
45 #define llroundl_input_type long double | |
46 | |
47 #define RETURN_TYPE RETURN_TYPEDEF( FUNCTION ) | |
48 #define RETURN_TYPEDEF( FUNCTION ) TYPE_PASTE( FUNCTION, _return_type ) | |
49 /* | |
50 * The types for the return value, from each of the derived functions. | |
51 */ | |
52 #define round_return_type double | |
53 #define roundf_return_type float | |
54 #define roundl_return_type long double | |
55 | |
56 #define lround_return_type long | |
57 #define lroundf_return_type long | |
58 #define lroundl_return_type long | |
59 | |
60 #define llround_return_type long long | |
61 #define llroundf_return_type long long | |
62 #define llroundl_return_type long long | |
63 | |
64 #define MAX_RETURN_VALUE RETURN_MAX( FUNCTION ) | |
65 #define RETURN_MAX( FUNCTION ) TYPE_PASTE( FUNCTION, _return_max ) | |
66 /* | |
67 * The maximum values which may be returned by each of the derived functions | |
68 * in the `lround' or the `llround' families. | |
69 */ | |
70 #define lround_return_max LONG_MAX | |
71 #define lroundf_return_max LONG_MAX | |
72 #define lroundl_return_max LONG_MAX | |
73 | |
74 #define llround_return_max LLONG_MAX | |
75 #define llroundf_return_max LLONG_MAX | |
76 #define llroundl_return_max LLONG_MAX | |
77 | |
78 #define MIN_RETURN_VALUE RETURN_MIN( FUNCTION ) | |
79 #define RETURN_MIN( FUNCTION ) TYPE_PASTE( FUNCTION, _return_min ) | |
80 /* | |
81 * The minimum values which may be returned by each of the derived functions | |
82 * in the `lround' or the `llround' families. | |
83 */ | |
84 #define lround_return_min LONG_MIN | |
85 #define lroundf_return_min LONG_MIN | |
86 #define lroundl_return_min LONG_MIN | |
87 | |
88 #define llround_return_min LLONG_MIN | |
89 #define llroundf_return_min LLONG_MIN | |
90 #define llroundl_return_min LLONG_MIN | |
91 | |
92 #define REF_VALUE( VALUE ) REF_TYPE( FUNCTION, VALUE ) | |
93 #define REF_TYPE( FUNC, VAL ) TYPE_PASTE( FUNC, _ref )( VAL ) | |
94 /* | |
95 * Macros for expressing constant values of the appropriate data type, | |
96 * for use in each of the derived functions. | |
97 */ | |
98 #define round_ref( VALUE ) VALUE | |
99 #define lround_ref( VALUE ) VALUE | |
100 #define llround_ref( VALUE ) VALUE | |
101 | |
102 #define roundl_ref( VALUE ) TYPE_PASTE( VALUE, L ) | |
103 #define lroundl_ref( VALUE ) TYPE_PASTE( VALUE, L ) | |
104 #define llroundl_ref( VALUE ) TYPE_PASTE( VALUE, L ) | |
105 | |
106 #define roundf_ref( VALUE ) TYPE_PASTE( VALUE, F ) | |
107 #define lroundf_ref( VALUE ) TYPE_PASTE( VALUE, F ) | |
108 #define llroundf_ref( VALUE ) TYPE_PASTE( VALUE, F ) | |
109 | |
110 static __inline__ | |
111 INPUT_TYPE __attribute__(( always_inline )) round_internal( INPUT_TYPE x ) | |
112 #define ROUND_MODES ( FE_TONEAREST | FE_UPWARD | FE_DOWNWARD | FE_TOWARDZERO ) | |
113 { | |
114 /* Generic helper function, for rounding of the input parameter value to | |
115 * the nearest integer value. | |
116 */ | |
117 INPUT_TYPE z; | |
118 unsigned short saved_CW, tmp_required_CW; | |
119 | |
120 /* Rounding method suggested by Danny Smith <dannysmith@users.sf.net> | |
121 * | |
122 * Save the FPU control word state, set rounding mode TONEAREST, round the | |
123 * input value, then restore the original FPU control word state. | |
124 */ | |
125 __asm__( "fnstcw %0;" : "=m"( saved_CW )); | |
126 tmp_required_CW = ( saved_CW & ~ROUND_MODES ) | FE_TONEAREST; | |
127 __asm__( "fldcw %0;" :: "m"( tmp_required_CW )); | |
128 __asm__( "frndint;" : "=t"( z ) : "0"( x )); | |
129 __asm__( "fldcw %0;" :: "m"( saved_CW )); | |
130 | |
131 /* We now have a possible rounded value; unfortunately the FPU uses the | |
132 * `round-to-even' rule for exact mid-way cases, where both C99 and POSIX | |
133 * require us to always round away from zero, so we need to adjust those | |
134 * mid-way cases which the FPU rounded in the wrong direction. | |
135 * | |
136 * Correction method suggested by Greg Chicares <gchicares@sbcglobal.net> | |
137 */ | |
138 return x < REF_VALUE( 0.0 ) | |
139 ? /* | |
140 * For negative input values, an incorrectly rounded value will be | |
141 * exactly 0.5 greater than the original value; when we find such an | |
142 * exact rounding offset, we must subtract an additional 1.0 from the | |
143 * rounded result, otherwise we return the rounded result unchanged. | |
144 */ | |
145 z - x == REF_VALUE( 0.5 ) ? z - REF_VALUE( 1.0 ) : z | |
146 | |
147 : /* For positive input values, an incorrectly rounded value will be | |
148 * exactly 0.5 less than the original value; when we find such an exact | |
149 * rounding offset, we must add an additional 1.0 to the rounded result, | |
150 * otherwise we return the rounded result unchanged. | |
151 */ | |
152 x - z == REF_VALUE( 0.5 ) ? z + REF_VALUE( 1.0 ) : z; | |
153 } | |
154 | |
155 #endif /* !defined _ROUND_INTERNAL_H: $RCSfile: round_internal.h,v $: end of file */ |