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-rw-r--r--gl/m4/math_h.m470
1 files changed, 63 insertions, 7 deletions
diff --git a/gl/m4/math_h.m4 b/gl/m4/math_h.m4
index d2e90ff1..8c27503b 100644
--- a/gl/m4/math_h.m4
+++ b/gl/m4/math_h.m4
@@ -1,8 +1,10 @@
1# math_h.m4 serial 125 1# math_h.m4
2dnl Copyright (C) 2007-2023 Free Software Foundation, Inc. 2# serial 140.1
3dnl Copyright (C) 2007-2025 Free Software Foundation, Inc.
3dnl This file is free software; the Free Software Foundation 4dnl This file is free software; the Free Software Foundation
4dnl gives unlimited permission to copy and/or distribute it, 5dnl gives unlimited permission to copy and/or distribute it,
5dnl with or without modifications, as long as this notice is preserved. 6dnl with or without modifications, as long as this notice is preserved.
7dnl This file is offered as-is, without any warranty.
6 8
7AC_DEFUN_ONCE([gl_MATH_H], 9AC_DEFUN_ONCE([gl_MATH_H],
8[ 10[
@@ -42,15 +44,21 @@ AC_DEFUN_ONCE([gl_MATH_H],
42 cbrt cbrtf cbrtl ceilf ceill copysign copysignf copysignl cosf cosl coshf 44 cbrt cbrtf cbrtl ceilf ceill copysign copysignf copysignl cosf cosl coshf
43 expf expl exp2 exp2f exp2l expm1 expm1f expm1l 45 expf expl exp2 exp2f exp2l expm1 expm1f expm1l
44 fabsf fabsl floorf floorl fma fmaf fmal 46 fabsf fabsl floorf floorl fma fmaf fmal
45 fmod fmodf fmodl frexpf frexpl hypotf hypotl 47 fmod fmodf fmodl frexpf frexpl
48 getpayload getpayloadf getpayloadl
49 hypotf hypotl
46 ilogb ilogbf ilogbl 50 ilogb ilogbf ilogbl
47 ldexpf ldexpl 51 ldexpf ldexpl
48 log logf logl log10 log10f log10l log1p log1pf log1pl log2 log2f log2l 52 log logf logl log10 log10f log10l log1p log1pf log1pl log2 log2f log2l
49 logb logbf logbl 53 logb logbf logbl logp1 log1pf logp1l
50 modf modff modfl powf 54 modf modff modfl powf
51 remainder remainderf remainderl 55 remainder remainderf remainderl
52 rint rintf rintl round roundf roundl sinf sinl sinhf sqrtf sqrtl 56 rint rintf rintl round roundf roundl
53 tanf tanl tanhf trunc truncf truncl]) 57 setpayload setpayloadf setpayloadl
58 setpayloadsig setpayloadsigf setpayloadsigl
59 sinf sinl sinhf sqrtf sqrtl
60 tanf tanl tanhf totalorder totalorderf totalorderl totalordermag
61 totalordermagf totalordermagl trunc truncf truncl])
54]) 62])
55 63
56# gl_MATH_MODULE_INDICATOR([modulename]) 64# gl_MATH_MODULE_INDICATOR([modulename])
@@ -113,6 +121,9 @@ AC_DEFUN([gl_MATH_H_REQUIRE_DEFAULTS],
113 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_FREXPF]) 121 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_FREXPF])
114 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_FREXP]) 122 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_FREXP])
115 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_FREXPL]) 123 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_FREXPL])
124 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_GETPAYLOAD])
125 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_GETPAYLOADF])
126 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_GETPAYLOADL])
116 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_HYPOT]) 127 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_HYPOT])
117 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_HYPOTF]) 128 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_HYPOTF])
118 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_HYPOTL]) 129 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_HYPOTL])
@@ -125,6 +136,7 @@ AC_DEFUN([gl_MATH_H_REQUIRE_DEFAULTS],
125 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ISNANF]) 136 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ISNANF])
126 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ISNAND]) 137 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ISNAND])
127 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ISNANL]) 138 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ISNANL])
139 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LDEXP])
128 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LDEXPF]) 140 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LDEXPF])
129 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LDEXPL]) 141 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LDEXPL])
130 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOG]) 142 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOG])
@@ -142,6 +154,9 @@ AC_DEFUN([gl_MATH_H_REQUIRE_DEFAULTS],
142 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGB]) 154 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGB])
143 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGBF]) 155 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGBF])
144 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGBL]) 156 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGBL])
157 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGP1])
158 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGP1F])
159 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_LOGP1L])
145 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_MODF]) 160 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_MODF])
146 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_MODFF]) 161 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_MODFF])
147 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_MODFL]) 162 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_MODFL])
@@ -155,6 +170,12 @@ AC_DEFUN([gl_MATH_H_REQUIRE_DEFAULTS],
155 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ROUND]) 170 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ROUND])
156 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ROUNDF]) 171 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ROUNDF])
157 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ROUNDL]) 172 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_ROUNDL])
173 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SETPAYLOAD])
174 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SETPAYLOADF])
175 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SETPAYLOADL])
176 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SETPAYLOADSIG])
177 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SETPAYLOADSIGF])
178 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SETPAYLOADSIGL])
158 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SIGNBIT]) 179 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SIGNBIT])
159 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SINF]) 180 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SINF])
160 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SINL]) 181 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_SINL])
@@ -164,6 +185,12 @@ AC_DEFUN([gl_MATH_H_REQUIRE_DEFAULTS],
164 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TANF]) 185 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TANF])
165 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TANL]) 186 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TANL])
166 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TANHF]) 187 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TANHF])
188 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TOTALORDER])
189 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TOTALORDERF])
190 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TOTALORDERL])
191 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TOTALORDERMAG])
192 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TOTALORDERMAGF])
193 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TOTALORDERMAGL])
167 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TRUNC]) 194 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TRUNC])
168 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TRUNCF]) 195 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TRUNCF])
169 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TRUNCL]) 196 gl_MODULE_INDICATOR_INIT_VARIABLE([GNULIB_TRUNCL])
@@ -209,6 +236,9 @@ AC_DEFUN([gl_MATH_H_DEFAULTS],
209 HAVE_FMODF=1; AC_SUBST([HAVE_FMODF]) 236 HAVE_FMODF=1; AC_SUBST([HAVE_FMODF])
210 HAVE_FMODL=1; AC_SUBST([HAVE_FMODL]) 237 HAVE_FMODL=1; AC_SUBST([HAVE_FMODL])
211 HAVE_FREXPF=1; AC_SUBST([HAVE_FREXPF]) 238 HAVE_FREXPF=1; AC_SUBST([HAVE_FREXPF])
239 HAVE_GETPAYLOAD=1; AC_SUBST([HAVE_GETPAYLOAD])
240 HAVE_GETPAYLOADF=1; AC_SUBST([HAVE_GETPAYLOADF])
241 HAVE_GETPAYLOADL=1; AC_SUBST([HAVE_GETPAYLOADL])
212 HAVE_HYPOTF=1; AC_SUBST([HAVE_HYPOTF]) 242 HAVE_HYPOTF=1; AC_SUBST([HAVE_HYPOTF])
213 HAVE_HYPOTL=1; AC_SUBST([HAVE_HYPOTL]) 243 HAVE_HYPOTL=1; AC_SUBST([HAVE_HYPOTL])
214 HAVE_ILOGB=1; AC_SUBST([HAVE_ILOGB]) 244 HAVE_ILOGB=1; AC_SUBST([HAVE_ILOGB])
@@ -227,6 +257,9 @@ AC_DEFUN([gl_MATH_H_DEFAULTS],
227 HAVE_LOG1PL=1; AC_SUBST([HAVE_LOG1PL]) 257 HAVE_LOG1PL=1; AC_SUBST([HAVE_LOG1PL])
228 HAVE_LOGBF=1; AC_SUBST([HAVE_LOGBF]) 258 HAVE_LOGBF=1; AC_SUBST([HAVE_LOGBF])
229 HAVE_LOGBL=1; AC_SUBST([HAVE_LOGBL]) 259 HAVE_LOGBL=1; AC_SUBST([HAVE_LOGBL])
260 HAVE_LOGP1=1; AC_SUBST([HAVE_LOGP1])
261 HAVE_LOGP1F=1; AC_SUBST([HAVE_LOGP1F])
262 HAVE_LOGP1L=1; AC_SUBST([HAVE_LOGP1L])
230 HAVE_MODFF=1; AC_SUBST([HAVE_MODFF]) 263 HAVE_MODFF=1; AC_SUBST([HAVE_MODFF])
231 HAVE_MODFL=1; AC_SUBST([HAVE_MODFL]) 264 HAVE_MODFL=1; AC_SUBST([HAVE_MODFL])
232 HAVE_POWF=1; AC_SUBST([HAVE_POWF]) 265 HAVE_POWF=1; AC_SUBST([HAVE_POWF])
@@ -234,6 +267,12 @@ AC_DEFUN([gl_MATH_H_DEFAULTS],
234 HAVE_REMAINDERF=1; AC_SUBST([HAVE_REMAINDERF]) 267 HAVE_REMAINDERF=1; AC_SUBST([HAVE_REMAINDERF])
235 HAVE_RINT=1; AC_SUBST([HAVE_RINT]) 268 HAVE_RINT=1; AC_SUBST([HAVE_RINT])
236 HAVE_RINTL=1; AC_SUBST([HAVE_RINTL]) 269 HAVE_RINTL=1; AC_SUBST([HAVE_RINTL])
270 HAVE_SETPAYLOAD=1; AC_SUBST([HAVE_SETPAYLOAD])
271 HAVE_SETPAYLOADF=1; AC_SUBST([HAVE_SETPAYLOADF])
272 HAVE_SETPAYLOADL=1; AC_SUBST([HAVE_SETPAYLOADL])
273 HAVE_SETPAYLOADSIG=1; AC_SUBST([HAVE_SETPAYLOADSIG])
274 HAVE_SETPAYLOADSIGF=1; AC_SUBST([HAVE_SETPAYLOADSIGF])
275 HAVE_SETPAYLOADSIGL=1; AC_SUBST([HAVE_SETPAYLOADSIGL])
237 HAVE_SINF=1; AC_SUBST([HAVE_SINF]) 276 HAVE_SINF=1; AC_SUBST([HAVE_SINF])
238 HAVE_SINL=1; AC_SUBST([HAVE_SINL]) 277 HAVE_SINL=1; AC_SUBST([HAVE_SINL])
239 HAVE_SINHF=1; AC_SUBST([HAVE_SINHF]) 278 HAVE_SINHF=1; AC_SUBST([HAVE_SINHF])
@@ -242,6 +281,12 @@ AC_DEFUN([gl_MATH_H_DEFAULTS],
242 HAVE_TANF=1; AC_SUBST([HAVE_TANF]) 281 HAVE_TANF=1; AC_SUBST([HAVE_TANF])
243 HAVE_TANL=1; AC_SUBST([HAVE_TANL]) 282 HAVE_TANL=1; AC_SUBST([HAVE_TANL])
244 HAVE_TANHF=1; AC_SUBST([HAVE_TANHF]) 283 HAVE_TANHF=1; AC_SUBST([HAVE_TANHF])
284 HAVE_TOTALORDER=1; AC_SUBST([HAVE_TOTALORDER])
285 HAVE_TOTALORDERF=1; AC_SUBST([HAVE_TOTALORDERF])
286 HAVE_TOTALORDERL=1; AC_SUBST([HAVE_TOTALORDERL])
287 HAVE_TOTALORDERMAG=1; AC_SUBST([HAVE_TOTALORDERMAG])
288 HAVE_TOTALORDERMAGF=1; AC_SUBST([HAVE_TOTALORDERMAGF])
289 HAVE_TOTALORDERMAGL=1; AC_SUBST([HAVE_TOTALORDERMAGL])
245 HAVE_DECL_ACOSL=1; AC_SUBST([HAVE_DECL_ACOSL]) 290 HAVE_DECL_ACOSL=1; AC_SUBST([HAVE_DECL_ACOSL])
246 HAVE_DECL_ASINL=1; AC_SUBST([HAVE_DECL_ASINL]) 291 HAVE_DECL_ASINL=1; AC_SUBST([HAVE_DECL_ASINL])
247 HAVE_DECL_ATANL=1; AC_SUBST([HAVE_DECL_ATANL]) 292 HAVE_DECL_ATANL=1; AC_SUBST([HAVE_DECL_ATANL])
@@ -309,6 +354,9 @@ AC_DEFUN([gl_MATH_H_DEFAULTS],
309 REPLACE_FREXPF=0; AC_SUBST([REPLACE_FREXPF]) 354 REPLACE_FREXPF=0; AC_SUBST([REPLACE_FREXPF])
310 REPLACE_FREXP=0; AC_SUBST([REPLACE_FREXP]) 355 REPLACE_FREXP=0; AC_SUBST([REPLACE_FREXP])
311 REPLACE_FREXPL=0; AC_SUBST([REPLACE_FREXPL]) 356 REPLACE_FREXPL=0; AC_SUBST([REPLACE_FREXPL])
357 REPLACE_GETPAYLOAD=0; AC_SUBST([REPLACE_GETPAYLOAD])
358 REPLACE_GETPAYLOADF=0; AC_SUBST([REPLACE_GETPAYLOADF])
359 REPLACE_GETPAYLOADL=0; AC_SUBST([REPLACE_GETPAYLOADL])
312 REPLACE_HUGE_VAL=0; AC_SUBST([REPLACE_HUGE_VAL]) 360 REPLACE_HUGE_VAL=0; AC_SUBST([REPLACE_HUGE_VAL])
313 REPLACE_HYPOT=0; AC_SUBST([REPLACE_HYPOT]) 361 REPLACE_HYPOT=0; AC_SUBST([REPLACE_HYPOT])
314 REPLACE_HYPOTF=0; AC_SUBST([REPLACE_HYPOTF]) 362 REPLACE_HYPOTF=0; AC_SUBST([REPLACE_HYPOTF])
@@ -319,6 +367,7 @@ AC_DEFUN([gl_MATH_H_DEFAULTS],
319 REPLACE_ISFINITE=0; AC_SUBST([REPLACE_ISFINITE]) 367 REPLACE_ISFINITE=0; AC_SUBST([REPLACE_ISFINITE])
320 REPLACE_ISINF=0; AC_SUBST([REPLACE_ISINF]) 368 REPLACE_ISINF=0; AC_SUBST([REPLACE_ISINF])
321 REPLACE_ISNAN=0; AC_SUBST([REPLACE_ISNAN]) 369 REPLACE_ISNAN=0; AC_SUBST([REPLACE_ISNAN])
370 REPLACE_LDEXP=0; AC_SUBST([REPLACE_LDEXP])
322 REPLACE_LDEXPL=0; AC_SUBST([REPLACE_LDEXPL]) 371 REPLACE_LDEXPL=0; AC_SUBST([REPLACE_LDEXPL])
323 REPLACE_LOG=0; AC_SUBST([REPLACE_LOG]) 372 REPLACE_LOG=0; AC_SUBST([REPLACE_LOG])
324 REPLACE_LOGF=0; AC_SUBST([REPLACE_LOGF]) 373 REPLACE_LOGF=0; AC_SUBST([REPLACE_LOGF])
@@ -350,10 +399,17 @@ AC_DEFUN([gl_MATH_H_DEFAULTS],
350 REPLACE_SIGNBIT_USING_BUILTINS=0; AC_SUBST([REPLACE_SIGNBIT_USING_BUILTINS]) 399 REPLACE_SIGNBIT_USING_BUILTINS=0; AC_SUBST([REPLACE_SIGNBIT_USING_BUILTINS])
351 REPLACE_SINF=0; AC_SUBST([REPLACE_SINF]) 400 REPLACE_SINF=0; AC_SUBST([REPLACE_SINF])
352 REPLACE_SINHF=0; AC_SUBST([REPLACE_SINHF]) 401 REPLACE_SINHF=0; AC_SUBST([REPLACE_SINHF])
402 REPLACE_SINL=0; AC_SUBST([REPLACE_SINL])
353 REPLACE_SQRTF=0; AC_SUBST([REPLACE_SQRTF]) 403 REPLACE_SQRTF=0; AC_SUBST([REPLACE_SQRTF])
354 REPLACE_SQRTL=0; AC_SUBST([REPLACE_SQRTL]) 404 REPLACE_SQRTL=0; AC_SUBST([REPLACE_SQRTL])
355 REPLACE_TANF=0; AC_SUBST([REPLACE_TANF]) 405 REPLACE_TANF=0; AC_SUBST([REPLACE_TANF])
356 REPLACE_TANHF=0; AC_SUBST([REPLACE_TANHF]) 406 REPLACE_TANHF=0; AC_SUBST([REPLACE_TANHF])
407 REPLACE_TOTALORDER=0; AC_SUBST([REPLACE_TOTALORDER])
408 REPLACE_TOTALORDERF=0; AC_SUBST([REPLACE_TOTALORDERF])
409 REPLACE_TOTALORDERL=0; AC_SUBST([REPLACE_TOTALORDERL])
410 REPLACE_TOTALORDERMAG=0; AC_SUBST([REPLACE_TOTALORDERMAG])
411 REPLACE_TOTALORDERMAGF=0; AC_SUBST([REPLACE_TOTALORDERMAGF])
412 REPLACE_TOTALORDERMAGL=0; AC_SUBST([REPLACE_TOTALORDERMAGL])
357 REPLACE_TRUNC=0; AC_SUBST([REPLACE_TRUNC]) 413 REPLACE_TRUNC=0; AC_SUBST([REPLACE_TRUNC])
358 REPLACE_TRUNCF=0; AC_SUBST([REPLACE_TRUNCF]) 414 REPLACE_TRUNCF=0; AC_SUBST([REPLACE_TRUNCF])
359 REPLACE_TRUNCL=0; AC_SUBST([REPLACE_TRUNCL]) 415 REPLACE_TRUNCL=0; AC_SUBST([REPLACE_TRUNCL])
@@ -364,7 +420,7 @@ AC_DEFUN([gl_MATH_H_DEFAULTS],
364# Sets variable HAVE_SAME_LONG_DOUBLE_AS_DOUBLE to 0 or 1, and defines 420# Sets variable HAVE_SAME_LONG_DOUBLE_AS_DOUBLE to 0 or 1, and defines
365# HAVE_SAME_LONG_DOUBLE_AS_DOUBLE accordingly. 421# HAVE_SAME_LONG_DOUBLE_AS_DOUBLE accordingly.
366# The currently known platforms where this is the case are: 422# The currently known platforms where this is the case are:
367# Linux/HPPA, Minix 3.1.8, AIX 5, AIX 6 and 7 with xlc, MSVC 9. 423# Linux/HPPA, NetBSD/sparc32, Minix 3.1.8, AIX 5, AIX 6 and 7 with xlc, MSVC 9.
368AC_DEFUN([gl_LONG_DOUBLE_VS_DOUBLE], 424AC_DEFUN([gl_LONG_DOUBLE_VS_DOUBLE],
369[ 425[
370 AC_CACHE_CHECK([whether long double and double are the same], 426 AC_CACHE_CHECK([whether long double and double are the same],