1 /* Copyright (C) 1997-2002, 2003, 2004, 2005, 2006 Free Software Foundation, Inc.
2 This file is part of the GNU C Library.
3 Contributed by Andreas Jaeger <aj@suse.de>, 1997.
5 The GNU C Library is free software; you can redistribute it and/or
6 modify it under the terms of the GNU Lesser General Public
7 License as published by the Free Software Foundation; either
8 version 2.1 of the License, or (at your option) any later version.
10 The GNU C Library is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 Lesser General Public License for more details.
15 You should have received a copy of the GNU Lesser General Public
16 License along with the GNU C Library; if not, write to the Free
17 Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
20 /* Part of testsuite for libm.
22 This file is processed by a perl script. The resulting file has to
23 be included by a master file that defines:
26 FUNC(function): converts general function name (like cos) to
27 name with correct suffix (e.g. cosl or cosf)
28 MATHCONST(x): like FUNC but for constants (e.g convert 0.0 to 0.0L)
29 FLOAT: floating point type to test
30 - TEST_MSG: informal message to be displayed
31 CHOOSE(Clongdouble,Cdouble,Cfloat,Cinlinelongdouble,Cinlinedouble,Cinlinefloat):
32 chooses one of the parameters as delta for testing
34 PRINTF_EXPR Floating point conversion specification to print a variable
35 of type FLOAT with printf. PRINTF_EXPR just contains
36 the specifier, not the percent and width arguments,
38 PRINTF_XEXPR Like PRINTF_EXPR, but print in hexadecimal format.
39 PRINTF_NEXPR Like PRINTF_EXPR, but print nice. */
41 /* This testsuite has currently tests for:
42 acos, acosh, asin, asinh, atan, atan2, atanh,
43 cbrt, ceil, copysign, cos, cosh, erf, erfc, exp, exp10, exp2, expm1,
44 fabs, fdim, floor, fma, fmax, fmin, fmod, fpclassify,
46 ilogb, isfinite, isinf, isnan, isnormal,
47 isless, islessequal, isgreater, isgreaterequal, islessgreater, isunordered,
49 ldexp, lgamma, log, log10, log1p, log2, logb,
50 modf, nearbyint, nextafter,
51 pow, remainder, remquo, rint, lrint, llrint,
52 round, lround, llround,
53 scalb, scalbn, scalbln, signbit, sin, sincos, sinh, sqrt, tan, tanh, tgamma, trunc,
54 y0, y1, yn, significand
56 and for the following complex math functions:
57 cabs, cacos, cacosh, carg, casin, casinh, catan, catanh,
58 ccos, ccosh, cexp, clog, cpow, cproj, csin, csinh, csqrt, ctan, ctanh.
60 At the moment the following functions aren't tested:
63 Parameter handling is primitive in the moment:
64 --verbose=[0..3] for different levels of output:
66 1: basic report on failed tests (default)
67 2: full report on all tests
68 -v for full output (equals --verbose=3)
69 -u for generation of an ULPs file
74 This suite tests some aspects of the correct implementation of
75 mathematical functions in libm. Some simple, specific parameters
76 are tested for correctness but there's no exhaustive
77 testing. Handling of specific inputs (e.g. infinity, not-a-number)
78 is also tested. Correct handling of exceptions is checked
79 against. These implemented tests should check all cases that are
82 Exception testing: At the moment only divide-by-zero and invalid
83 exceptions are tested. Overflow/underflow and inexact exceptions
84 aren't checked at the moment.
86 NaN values: There exist signalling and quiet NaNs. This implementation
87 only uses quiet NaN as parameter but does not differenciate
88 between the two kinds of NaNs as result.
90 Inline functions: Inlining functions should give an improvement in
91 speed - but not in precission. The inlined functions return
92 reasonable values for a reasonable range of input values. The
93 result is not necessarily correct for all values and exceptions are
94 not correctly raised in all cases. Problematic input and return
95 values are infinity, not-a-number and minus zero. This suite
96 therefore does not check these specific inputs and the exception
97 handling for inlined mathematical functions - just the "reasonable"
100 Beware: The tests might fail for any of the following reasons:
102 - Functions are wrong
103 - Floating Point Unit not working properly
104 - Compiler has errors
106 With e.g. gcc 2.7.2.2 the test for cexp fails because of a compiler error.
109 To Do: All parameter should be numbers that can be represented as
110 exact floating point values. Currently some values cannot be
111 represented exactly and therefore the result is not the expected
112 result. For this we will use 36 digits so that numbers can be
113 represented exactly. */
119 #include "libm-test-ulps.h"
132 /* Possible exceptions */
133 #define NO_EXCEPTION 0x0
134 #define INVALID_EXCEPTION 0x1
135 #define DIVIDE_BY_ZERO_EXCEPTION 0x2
136 /* The next flags signals that those exceptions are allowed but not required. */
137 #define INVALID_EXCEPTION_OK 0x4
138 #define DIVIDE_BY_ZERO_EXCEPTION_OK 0x8
139 #define EXCEPTIONS_OK INVALID_EXCEPTION_OK+DIVIDE_BY_ZERO_EXCEPTION_OK
140 /* Some special test flags, passed togther with exceptions. */
141 #define IGNORE_ZERO_INF_SIGN 0x10
143 /* Various constants (we must supply them precalculated for accuracy). */
144 #define M_PI_6l .52359877559829887307710723054658383L
145 #define M_E2l 7.389056098930650227230427460575008L
146 #define M_E3l 20.085536923187667740928529654581719L
147 #define M_2_SQRT_PIl 3.5449077018110320545963349666822903L /* 2 sqrt (M_PIl) */
148 #define M_SQRT_PIl 1.7724538509055160272981674833411451L /* sqrt (M_PIl) */
149 #define M_LOG_SQRT_PIl 0.57236494292470008707171367567652933L /* log(sqrt(M_PIl)) */
150 #define M_LOG_2_SQRT_PIl 1.265512123484645396488945797134706L /* log(2*sqrt(M_PIl)) */
151 #define M_PI_34l (M_PIl - M_PI_4l) /* 3*pi/4 */
152 #define M_PI_34_LOG10El (M_PIl - M_PI_4l) * M_LOG10El
153 #define M_PI2_LOG10El M_PI_2l * M_LOG10El
154 #define M_PI4_LOG10El M_PI_4l * M_LOG10El
155 #define M_PI_LOG10El M_PIl * M_LOG10El
156 #define M_SQRT_2_2 0.70710678118654752440084436210484903L /* sqrt (2) / 2 */
158 static FILE *ulps_file; /* File to document difference. */
159 static int output_ulps; /* Should ulps printed? */
161 static int noErrors; /* number of errors */
162 static int noTests; /* number of tests (without testing exceptions) */
163 static int noExcTests; /* number of tests for exception flags */
164 static int noXFails; /* number of expected failures. */
165 static int noXPasses; /* number of unexpected passes. */
168 static int output_max_error; /* Should the maximal errors printed? */
169 static int output_points; /* Should the single function results printed? */
170 static int ignore_max_ulp; /* Should we ignore max_ulp? */
172 static FLOAT minus_zero, plus_zero;
173 static FLOAT plus_infty, minus_infty, nan_value, max_value, min_value;
175 static FLOAT max_error, real_max_error, imag_max_error;
178 #define BUILD_COMPLEX(real, imag) \
179 ({ __complex__ FLOAT __retval; \
180 __real__ __retval = (real); \
181 __imag__ __retval = (imag); \
184 #define BUILD_COMPLEX_INT(real, imag) \
185 ({ __complex__ int __retval; \
186 __real__ __retval = (real); \
187 __imag__ __retval = (imag); \
191 #define MANT_DIG CHOOSE ((LDBL_MANT_DIG-1), (DBL_MANT_DIG-1), (FLT_MANT_DIG-1), \
192 (LDBL_MANT_DIG-1), (DBL_MANT_DIG-1), (FLT_MANT_DIG-1))
195 init_max_error (void)
200 feclearexcept (FE_ALL_EXCEPT);
204 set_max_error (FLOAT current, FLOAT *curr_max_error)
206 if (current > *curr_max_error)
207 *curr_max_error = current;
211 /* Should the message print to screen? This depends on the verbose flag,
212 and the test status. */
214 print_screen (int ok, int xfail)
218 || (verbose == 1 && ok == xfail)))
224 /* Should the message print to screen? This depends on the verbose flag,
225 and the test status. */
227 print_screen_max_error (int ok, int xfail)
231 || ((verbose == 1) && (ok == xfail))))
236 /* Update statistic counters. */
238 update_stats (int ok, int xfail)
243 else if (!ok && xfail)
245 else if (!ok && !xfail)
250 print_ulps (const char *test_name, FLOAT ulp)
254 fprintf (ulps_file, "Test \"%s\":\n", test_name);
255 fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
256 CHOOSE("ldouble", "double", "float",
257 "ildouble", "idouble", "ifloat"),
263 print_function_ulps (const char *function_name, FLOAT ulp)
267 fprintf (ulps_file, "Function: \"%s\":\n", function_name);
268 fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
269 CHOOSE("ldouble", "double", "float",
270 "ildouble", "idouble", "ifloat"),
277 print_complex_function_ulps (const char *function_name, FLOAT real_ulp,
284 fprintf (ulps_file, "Function: Real part of \"%s\":\n", function_name);
285 fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
286 CHOOSE("ldouble", "double", "float",
287 "ildouble", "idouble", "ifloat"),
288 FUNC(ceil) (real_ulp));
292 fprintf (ulps_file, "Function: Imaginary part of \"%s\":\n", function_name);
293 fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
294 CHOOSE("ldouble", "double", "float",
295 "ildouble", "idouble", "ifloat"),
296 FUNC(ceil) (imag_ulp));
305 /* Test if Floating-Point stack hasn't changed */
307 fpstack_test (const char *test_name)
310 static int old_stack;
313 __asm__ ("fnstsw" : "=a" (sw));
319 printf ("FP-Stack wrong after test %s (%d, should be %d)\n",
320 test_name, sw, old_stack);
329 print_max_error (const char *func_name, FLOAT allowed, int xfail)
333 if (max_error == 0.0 || (max_error <= allowed && !ignore_max_ulp))
339 print_function_ulps (func_name, max_error);
342 if (print_screen_max_error (ok, xfail))
344 printf ("Maximal error of `%s'\n", func_name);
345 printf (" is : %.0" PRINTF_NEXPR " ulp\n", FUNC(ceil) (max_error));
346 printf (" accepted: %.0" PRINTF_NEXPR " ulp\n", FUNC(ceil) (allowed));
349 update_stats (ok, xfail);
354 print_complex_max_error (const char *func_name, __complex__ FLOAT allowed,
355 __complex__ int xfail)
359 if ((real_max_error == 0 && imag_max_error == 0)
360 || (real_max_error <= __real__ allowed
361 && imag_max_error <= __imag__ allowed
368 print_complex_function_ulps (func_name, real_max_error, imag_max_error);
371 if (print_screen_max_error (ok, xfail))
373 printf ("Maximal error of real part of: %s\n", func_name);
374 printf (" is : %.0" PRINTF_NEXPR " ulp\n",
375 FUNC(ceil) (real_max_error));
376 printf (" accepted: %.0" PRINTF_NEXPR " ulp\n",
377 FUNC(ceil) (__real__ allowed));
378 printf ("Maximal error of imaginary part of: %s\n", func_name);
379 printf (" is : %.0" PRINTF_NEXPR " ulp\n",
380 FUNC(ceil) (imag_max_error));
381 printf (" accepted: %.0" PRINTF_NEXPR " ulp\n",
382 FUNC(ceil) (__imag__ allowed));
385 update_stats (ok, xfail);
389 /* Test whether a given exception was raised. */
391 test_single_exception (const char *test_name,
395 const char *flag_name)
399 if (exception & exc_flag)
401 if (fetestexcept (fe_flag))
403 if (print_screen (1, 0))
404 printf ("Pass: %s: Exception \"%s\" set\n", test_name, flag_name);
409 if (print_screen (0, 0))
410 printf ("Failure: %s: Exception \"%s\" not set\n",
411 test_name, flag_name);
416 if (fetestexcept (fe_flag))
419 if (print_screen (0, 0))
420 printf ("Failure: %s: Exception \"%s\" set\n",
421 test_name, flag_name);
425 if (print_screen (1, 0))
426 printf ("%s: Exception \"%s\" not set\n", test_name,
437 /* Test whether exceptions given by EXCEPTION are raised. Ignore thereby
438 allowed but not required exceptions.
441 test_exceptions (const char *test_name, int exception)
445 if ((exception & DIVIDE_BY_ZERO_EXCEPTION_OK) == 0)
446 test_single_exception (test_name, exception,
447 DIVIDE_BY_ZERO_EXCEPTION, FE_DIVBYZERO,
451 if ((exception & INVALID_EXCEPTION_OK) == 0)
452 test_single_exception (test_name, exception, INVALID_EXCEPTION, FE_INVALID,
453 "Invalid operation");
455 feclearexcept (FE_ALL_EXCEPT);
460 check_float_internal (const char *test_name, FLOAT computed, FLOAT expected,
461 FLOAT max_ulp, int xfail, int exceptions,
462 FLOAT *curr_max_error)
469 test_exceptions (test_name, exceptions);
470 if (isnan (computed) && isnan (expected))
472 else if (isinf (computed) && isinf (expected))
474 /* Test for sign of infinities. */
475 if ((exceptions & IGNORE_ZERO_INF_SIGN) == 0
476 && signbit (computed) != signbit (expected))
479 printf ("infinity has wrong sign.\n");
484 /* Don't calc ulp for NaNs or infinities. */
485 else if (isinf (computed) || isnan (computed) || isinf (expected) || isnan (expected))
489 diff = FUNC(fabs) (computed - expected);
490 /* ilogb (0) isn't allowed. */
492 ulp = diff / FUNC(ldexp) (1.0, - MANT_DIG);
494 ulp = diff / FUNC(ldexp) (1.0, FUNC(ilogb) (expected) - MANT_DIG);
495 set_max_error (ulp, curr_max_error);
497 if ((exceptions & IGNORE_ZERO_INF_SIGN) == 0
498 && computed == 0.0 && expected == 0.0
499 && signbit(computed) != signbit (expected))
501 else if (ulp <= 0.5 || (ulp <= max_ulp && !ignore_max_ulp))
506 print_ulps (test_name, ulp);
510 if (print_screen (ok, xfail))
513 printf ("Failure: ");
514 printf ("Test: %s\n", test_name);
515 printf ("Result:\n");
516 printf (" is: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n",
518 printf (" should be: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n",
522 printf (" difference: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR
524 printf (" ulp : % .4" PRINTF_NEXPR "\n", ulp);
525 printf (" max.ulp : % .4" PRINTF_NEXPR "\n", max_ulp);
528 update_stats (ok, xfail);
530 fpstack_test (test_name);
535 check_float (const char *test_name, FLOAT computed, FLOAT expected,
536 FLOAT max_ulp, int xfail, int exceptions)
538 check_float_internal (test_name, computed, expected, max_ulp, xfail,
539 exceptions, &max_error);
544 check_complex (const char *test_name, __complex__ FLOAT computed,
545 __complex__ FLOAT expected,
546 __complex__ FLOAT max_ulp, __complex__ int xfail,
549 FLOAT part_comp, part_exp, part_max_ulp;
553 sprintf (str, "Real part of: %s", test_name);
554 part_comp = __real__ computed;
555 part_exp = __real__ expected;
556 part_max_ulp = __real__ max_ulp;
557 part_xfail = __real__ xfail;
559 check_float_internal (str, part_comp, part_exp, part_max_ulp, part_xfail,
560 exception, &real_max_error);
562 sprintf (str, "Imaginary part of: %s", test_name);
563 part_comp = __imag__ computed;
564 part_exp = __imag__ expected;
565 part_max_ulp = __imag__ max_ulp;
566 part_xfail = __imag__ xfail;
568 /* Don't check again for exceptions, just pass through the
569 zero/inf sign test. */
570 check_float_internal (str, part_comp, part_exp, part_max_ulp, part_xfail,
571 exception & IGNORE_ZERO_INF_SIGN,
576 /* Check that computed and expected values are equal (int values). */
578 check_int (const char *test_name, int computed, int expected, int max_ulp,
579 int xfail, int exceptions)
581 int diff = computed - expected;
584 test_exceptions (test_name, exceptions);
586 if (abs (diff) <= max_ulp)
590 print_ulps (test_name, diff);
592 if (print_screen (ok, xfail))
595 printf ("Failure: ");
596 printf ("Test: %s\n", test_name);
597 printf ("Result:\n");
598 printf (" is: %d\n", computed);
599 printf (" should be: %d\n", expected);
602 update_stats (ok, xfail);
603 fpstack_test (test_name);
607 /* Check that computed and expected values are equal (long int values). */
609 check_long (const char *test_name, long int computed, long int expected,
610 long int max_ulp, int xfail, int exceptions)
612 long int diff = computed - expected;
615 test_exceptions (test_name, exceptions);
617 if (labs (diff) <= max_ulp)
621 print_ulps (test_name, diff);
623 if (print_screen (ok, xfail))
626 printf ("Failure: ");
627 printf ("Test: %s\n", test_name);
628 printf ("Result:\n");
629 printf (" is: %ld\n", computed);
630 printf (" should be: %ld\n", expected);
633 update_stats (ok, xfail);
634 fpstack_test (test_name);
638 /* Check that computed value is true/false. */
640 check_bool (const char *test_name, int computed, int expected,
641 long int max_ulp, int xfail, int exceptions)
645 test_exceptions (test_name, exceptions);
647 if ((computed == 0) == (expected == 0))
650 if (print_screen (ok, xfail))
653 printf ("Failure: ");
654 printf ("Test: %s\n", test_name);
655 printf ("Result:\n");
656 printf (" is: %d\n", computed);
657 printf (" should be: %d\n", expected);
660 update_stats (ok, xfail);
661 fpstack_test (test_name);
665 /* check that computed and expected values are equal (long int values) */
667 check_longlong (const char *test_name, long long int computed,
668 long long int expected,
669 long long int max_ulp, int xfail,
672 long long int diff = computed - expected;
675 test_exceptions (test_name, exceptions);
677 if (llabs (diff) <= max_ulp)
681 print_ulps (test_name, diff);
683 if (print_screen (ok, xfail))
687 printf ("Test: %s\n", test_name);
688 printf ("Result:\n");
689 printf (" is: %lld\n", computed);
690 printf (" should be: %lld\n", expected);
693 update_stats (ok, xfail);
694 fpstack_test (test_name);
699 /* This is to prevent messages from the SVID libm emulation. */
701 matherr (struct exception *x __attribute__ ((unused)))
707 /****************************************************************************
708 Tests for single functions of libm.
709 Please keep them alphabetically sorted!
710 ****************************************************************************/
718 /* Function not implemented. */
723 TEST_f_f (acos, plus_infty, nan_value, INVALID_EXCEPTION);
724 TEST_f_f (acos, minus_infty, nan_value, INVALID_EXCEPTION);
725 TEST_f_f (acos, nan_value, nan_value);
728 TEST_f_f (acos, 1.125L, nan_value, INVALID_EXCEPTION);
729 TEST_f_f (acos, -1.125L, nan_value, INVALID_EXCEPTION);
731 TEST_f_f (acos, 0, M_PI_2l);
732 TEST_f_f (acos, minus_zero, M_PI_2l);
733 TEST_f_f (acos, 1, 0);
734 TEST_f_f (acos, -1, M_PIl);
735 TEST_f_f (acos, 0.5, M_PI_6l*2.0);
736 TEST_f_f (acos, -0.5, M_PI_6l*4.0);
737 TEST_f_f (acos, 0.75L, 0.722734247813415611178377352641333362L);
738 TEST_f_f (acos, 2e-17L, 1.57079632679489659923132169163975144L);
739 TEST_f_f (acos, 0.0625L, 1.50825556499840522843072005474337068L);
749 /* Function not implemented. */
754 TEST_f_f (acosh, plus_infty, plus_infty);
755 TEST_f_f (acosh, minus_infty, nan_value, INVALID_EXCEPTION);
758 TEST_f_f (acosh, -1.125L, nan_value, INVALID_EXCEPTION);
760 TEST_f_f (acosh, 1, 0);
761 TEST_f_f (acosh, 7, 2.63391579384963341725009269461593689L);
772 /* Function not implemented. */
777 TEST_f_f (asin, plus_infty, nan_value, INVALID_EXCEPTION);
778 TEST_f_f (asin, minus_infty, nan_value, INVALID_EXCEPTION);
779 TEST_f_f (asin, nan_value, nan_value);
781 /* asin x == NaN plus invalid exception for |x| > 1. */
782 TEST_f_f (asin, 1.125L, nan_value, INVALID_EXCEPTION);
783 TEST_f_f (asin, -1.125L, nan_value, INVALID_EXCEPTION);
785 TEST_f_f (asin, 0, 0);
786 TEST_f_f (asin, minus_zero, minus_zero);
787 TEST_f_f (asin, 0.5, M_PI_6l);
788 TEST_f_f (asin, -0.5, -M_PI_6l);
789 TEST_f_f (asin, 1.0, M_PI_2l);
790 TEST_f_f (asin, -1.0, -M_PI_2l);
791 TEST_f_f (asin, 0.75L, 0.848062078981481008052944338998418080L);
802 /* Function not implemented. */
807 TEST_f_f (asinh, 0, 0);
808 TEST_f_f (asinh, minus_zero, minus_zero);
810 TEST_f_f (asinh, plus_infty, plus_infty);
811 TEST_f_f (asinh, minus_infty, minus_infty);
813 TEST_f_f (asinh, nan_value, nan_value);
814 TEST_f_f (asinh, 0.75L, 0.693147180559945309417232121458176568L);
825 /* Function not implemented. */
830 TEST_f_f (atan, 0, 0);
831 TEST_f_f (atan, minus_zero, minus_zero);
833 TEST_f_f (atan, plus_infty, M_PI_2l);
834 TEST_f_f (atan, minus_infty, -M_PI_2l);
835 TEST_f_f (atan, nan_value, nan_value);
837 TEST_f_f (atan, 1, M_PI_4l);
838 TEST_f_f (atan, -1, -M_PI_4l);
840 TEST_f_f (atan, 0.75L, 0.643501108793284386802809228717322638L);
853 /* Function not implemented. */
859 TEST_f_f (atanh, 0, 0);
860 TEST_f_f (atanh, minus_zero, minus_zero);
862 TEST_f_f (atanh, 1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
863 TEST_f_f (atanh, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
864 TEST_f_f (atanh, nan_value, nan_value);
866 /* atanh (x) == NaN plus invalid exception if |x| > 1. */
867 TEST_f_f (atanh, 1.125L, nan_value, INVALID_EXCEPTION);
868 TEST_f_f (atanh, -1.125L, nan_value, INVALID_EXCEPTION);
870 TEST_f_f (atanh, 0.75L, 0.972955074527656652552676371721589865L);
881 /* Function not implemented. */
886 /* atan2 (0,x) == 0 for x > 0. */
887 TEST_ff_f (atan2, 0, 1, 0);
889 /* atan2 (-0,x) == -0 for x > 0. */
890 TEST_ff_f (atan2, minus_zero, 1, minus_zero);
892 TEST_ff_f (atan2, 0, 0, 0);
893 TEST_ff_f (atan2, minus_zero, 0, minus_zero);
895 /* atan2 (+0,x) == +pi for x < 0. */
896 TEST_ff_f (atan2, 0, -1, M_PIl);
898 /* atan2 (-0,x) == -pi for x < 0. */
899 TEST_ff_f (atan2, minus_zero, -1, -M_PIl);
901 TEST_ff_f (atan2, 0, minus_zero, M_PIl);
902 TEST_ff_f (atan2, minus_zero, minus_zero, -M_PIl);
904 /* atan2 (y,+0) == pi/2 for y > 0. */
905 TEST_ff_f (atan2, 1, 0, M_PI_2l);
907 /* atan2 (y,-0) == pi/2 for y > 0. */
908 TEST_ff_f (atan2, 1, minus_zero, M_PI_2l);
910 /* atan2 (y,+0) == -pi/2 for y < 0. */
911 TEST_ff_f (atan2, -1, 0, -M_PI_2l);
913 /* atan2 (y,-0) == -pi/2 for y < 0. */
914 TEST_ff_f (atan2, -1, minus_zero, -M_PI_2l);
916 /* atan2 (y,inf) == +0 for finite y > 0. */
917 TEST_ff_f (atan2, 1, plus_infty, 0);
919 /* atan2 (y,inf) == -0 for finite y < 0. */
920 TEST_ff_f (atan2, -1, plus_infty, minus_zero);
922 /* atan2(+inf, x) == pi/2 for finite x. */
923 TEST_ff_f (atan2, plus_infty, -1, M_PI_2l);
925 /* atan2(-inf, x) == -pi/2 for finite x. */
926 TEST_ff_f (atan2, minus_infty, 1, -M_PI_2l);
928 /* atan2 (y,-inf) == +pi for finite y > 0. */
929 TEST_ff_f (atan2, 1, minus_infty, M_PIl);
931 /* atan2 (y,-inf) == -pi for finite y < 0. */
932 TEST_ff_f (atan2, -1, minus_infty, -M_PIl);
934 TEST_ff_f (atan2, plus_infty, plus_infty, M_PI_4l);
935 TEST_ff_f (atan2, minus_infty, plus_infty, -M_PI_4l);
936 TEST_ff_f (atan2, plus_infty, minus_infty, M_PI_34l);
937 TEST_ff_f (atan2, minus_infty, minus_infty, -M_PI_34l);
938 TEST_ff_f (atan2, nan_value, nan_value, nan_value);
940 TEST_ff_f (atan2, 0.75L, 1, 0.643501108793284386802809228717322638L);
941 TEST_ff_f (atan2, -0.75L, 1.0L, -0.643501108793284386802809228717322638L);
942 TEST_ff_f (atan2, 0.75L, -1.0L, 2.49809154479650885165983415456218025L);
943 TEST_ff_f (atan2, -0.75L, -1.0L, -2.49809154479650885165983415456218025L);
944 TEST_ff_f (atan2, 0.390625L, .00029L, 1.57005392693128974780151246612928941L);
945 TEST_ff_f (atan2, 1.390625L, 0.9296875L, 0.981498387184244311516296577615519772L);
947 TEST_ff_f (atan2, -0.00756827042671106339L, -.001792735857538728036L, -1.80338464113663849327153994379639112L);
956 FUNC(cabs) (BUILD_COMPLEX (0.7L, 12.4L));
958 /* Function not implemented. */
963 /* cabs (x + iy) is specified as hypot (x,y) */
965 /* cabs (+inf + i x) == +inf. */
966 TEST_c_f (cabs, plus_infty, 1.0, plus_infty);
967 /* cabs (-inf + i x) == +inf. */
968 TEST_c_f (cabs, minus_infty, 1.0, plus_infty);
970 TEST_c_f (cabs, minus_infty, nan_value, plus_infty);
971 TEST_c_f (cabs, minus_infty, nan_value, plus_infty);
973 TEST_c_f (cabs, nan_value, nan_value, nan_value);
975 /* cabs (x,y) == cabs (y,x). */
976 TEST_c_f (cabs, 0.75L, 12.390625L, 12.4133028598606664302388810868156657L);
977 /* cabs (x,y) == cabs (-x,y). */
978 TEST_c_f (cabs, -12.390625L, 0.75L, 12.4133028598606664302388810868156657L);
979 /* cabs (x,y) == cabs (-y,x). */
980 TEST_c_f (cabs, -0.75L, 12.390625L, 12.4133028598606664302388810868156657L);
981 /* cabs (x,y) == cabs (-x,-y). */
982 TEST_c_f (cabs, -12.390625L, -0.75L, 12.4133028598606664302388810868156657L);
983 /* cabs (x,y) == cabs (-y,-x). */
984 TEST_c_f (cabs, -0.75L, -12.390625L, 12.4133028598606664302388810868156657L);
985 /* cabs (x,0) == fabs (x). */
986 TEST_c_f (cabs, -0.75L, 0, 0.75L);
987 TEST_c_f (cabs, 0.75L, 0, 0.75L);
988 TEST_c_f (cabs, -1.0L, 0, 1.0L);
989 TEST_c_f (cabs, 1.0L, 0, 1.0L);
990 TEST_c_f (cabs, -5.7e7L, 0, 5.7e7L);
991 TEST_c_f (cabs, 5.7e7L, 0, 5.7e7L);
993 TEST_c_f (cabs, 0.75L, 1.25L, 1.45773797371132511771853821938639577L);
1004 FUNC(cacos) (BUILD_COMPLEX (0.7L, 1.2L));
1005 if (errno == ENOSYS)
1006 /* Function not implemented. */
1012 TEST_c_c (cacos, 0, 0, M_PI_2l, minus_zero);
1013 TEST_c_c (cacos, minus_zero, 0, M_PI_2l, minus_zero);
1014 TEST_c_c (cacos, minus_zero, minus_zero, M_PI_2l, 0.0);
1015 TEST_c_c (cacos, 0, minus_zero, M_PI_2l, 0.0);
1017 TEST_c_c (cacos, minus_infty, plus_infty, M_PI_34l, minus_infty);
1018 TEST_c_c (cacos, minus_infty, minus_infty, M_PI_34l, plus_infty);
1020 TEST_c_c (cacos, plus_infty, plus_infty, M_PI_4l, minus_infty);
1021 TEST_c_c (cacos, plus_infty, minus_infty, M_PI_4l, plus_infty);
1023 TEST_c_c (cacos, -10.0, plus_infty, M_PI_2l, minus_infty);
1024 TEST_c_c (cacos, -10.0, minus_infty, M_PI_2l, plus_infty);
1025 TEST_c_c (cacos, 0, plus_infty, M_PI_2l, minus_infty);
1026 TEST_c_c (cacos, 0, minus_infty, M_PI_2l, plus_infty);
1027 TEST_c_c (cacos, 0.1L, plus_infty, M_PI_2l, minus_infty);
1028 TEST_c_c (cacos, 0.1L, minus_infty, M_PI_2l, plus_infty);
1030 TEST_c_c (cacos, minus_infty, 0, M_PIl, minus_infty);
1031 TEST_c_c (cacos, minus_infty, minus_zero, M_PIl, plus_infty);
1032 TEST_c_c (cacos, minus_infty, 100, M_PIl, minus_infty);
1033 TEST_c_c (cacos, minus_infty, -100, M_PIl, plus_infty);
1035 TEST_c_c (cacos, plus_infty, 0, 0.0, minus_infty);
1036 TEST_c_c (cacos, plus_infty, minus_zero, 0.0, plus_infty);
1037 TEST_c_c (cacos, plus_infty, 0.5, 0.0, minus_infty);
1038 TEST_c_c (cacos, plus_infty, -0.5, 0.0, plus_infty);
1040 TEST_c_c (cacos, plus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
1041 TEST_c_c (cacos, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
1043 TEST_c_c (cacos, 0, nan_value, M_PI_2l, nan_value);
1044 TEST_c_c (cacos, minus_zero, nan_value, M_PI_2l, nan_value);
1046 TEST_c_c (cacos, nan_value, plus_infty, nan_value, minus_infty);
1047 TEST_c_c (cacos, nan_value, minus_infty, nan_value, plus_infty);
1049 TEST_c_c (cacos, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1050 TEST_c_c (cacos, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1052 TEST_c_c (cacos, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1053 TEST_c_c (cacos, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1055 TEST_c_c (cacos, nan_value, nan_value, nan_value, nan_value);
1057 TEST_c_c (cacos, 0.75L, 1.25L, 1.11752014915610270578240049553777969L, -1.13239363160530819522266333696834467L);
1058 TEST_c_c (cacos, -2, -3, 2.1414491111159960199416055713254211L, 1.9833870299165354323470769028940395L);
1060 END (cacos, complex);
1067 FUNC(cacosh) (BUILD_COMPLEX (0.7L, 1.2L));
1068 if (errno == ENOSYS)
1069 /* Function not implemented. */
1075 TEST_c_c (cacosh, 0, 0, 0.0, M_PI_2l);
1076 TEST_c_c (cacosh, minus_zero, 0, 0.0, M_PI_2l);
1077 TEST_c_c (cacosh, 0, minus_zero, 0.0, -M_PI_2l);
1078 TEST_c_c (cacosh, minus_zero, minus_zero, 0.0, -M_PI_2l);
1079 TEST_c_c (cacosh, minus_infty, plus_infty, plus_infty, M_PI_34l);
1080 TEST_c_c (cacosh, minus_infty, minus_infty, plus_infty, -M_PI_34l);
1082 TEST_c_c (cacosh, plus_infty, plus_infty, plus_infty, M_PI_4l);
1083 TEST_c_c (cacosh, plus_infty, minus_infty, plus_infty, -M_PI_4l);
1085 TEST_c_c (cacosh, -10.0, plus_infty, plus_infty, M_PI_2l);
1086 TEST_c_c (cacosh, -10.0, minus_infty, plus_infty, -M_PI_2l);
1087 TEST_c_c (cacosh, 0, plus_infty, plus_infty, M_PI_2l);
1088 TEST_c_c (cacosh, 0, minus_infty, plus_infty, -M_PI_2l);
1089 TEST_c_c (cacosh, 0.1L, plus_infty, plus_infty, M_PI_2l);
1090 TEST_c_c (cacosh, 0.1L, minus_infty, plus_infty, -M_PI_2l);
1092 TEST_c_c (cacosh, minus_infty, 0, plus_infty, M_PIl);
1093 TEST_c_c (cacosh, minus_infty, minus_zero, plus_infty, -M_PIl);
1094 TEST_c_c (cacosh, minus_infty, 100, plus_infty, M_PIl);
1095 TEST_c_c (cacosh, minus_infty, -100, plus_infty, -M_PIl);
1097 TEST_c_c (cacosh, plus_infty, 0, plus_infty, 0.0);
1098 TEST_c_c (cacosh, plus_infty, minus_zero, plus_infty, minus_zero);
1099 TEST_c_c (cacosh, plus_infty, 0.5, plus_infty, 0.0);
1100 TEST_c_c (cacosh, plus_infty, -0.5, plus_infty, minus_zero);
1102 TEST_c_c (cacosh, plus_infty, nan_value, plus_infty, nan_value);
1103 TEST_c_c (cacosh, minus_infty, nan_value, plus_infty, nan_value);
1105 TEST_c_c (cacosh, 0, nan_value, nan_value, nan_value);
1106 TEST_c_c (cacosh, minus_zero, nan_value, nan_value, nan_value);
1108 TEST_c_c (cacosh, nan_value, plus_infty, plus_infty, nan_value);
1109 TEST_c_c (cacosh, nan_value, minus_infty, plus_infty, nan_value);
1111 TEST_c_c (cacosh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1112 TEST_c_c (cacosh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1114 TEST_c_c (cacosh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1115 TEST_c_c (cacosh, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1117 TEST_c_c (cacosh, nan_value, nan_value, nan_value, nan_value);
1119 TEST_c_c (cacosh, 0.75L, 1.25L, 1.13239363160530819522266333696834467L, 1.11752014915610270578240049553777969L);
1120 TEST_c_c (cacosh, -2, -3, 1.9833870299165354323470769028940395L, -2.1414491111159960199416055713254211L);
1122 END (cacosh, complex);
1131 /* carg (x + iy) is specified as atan2 (y, x) */
1133 /* carg (x + i 0) == 0 for x > 0. */
1134 TEST_c_f (carg, 2.0, 0, 0);
1135 /* carg (x - i 0) == -0 for x > 0. */
1136 TEST_c_f (carg, 2.0, minus_zero, minus_zero);
1138 TEST_c_f (carg, 0, 0, 0);
1139 TEST_c_f (carg, 0, minus_zero, minus_zero);
1141 /* carg (x + i 0) == +pi for x < 0. */
1142 TEST_c_f (carg, -2.0, 0, M_PIl);
1144 /* carg (x - i 0) == -pi for x < 0. */
1145 TEST_c_f (carg, -2.0, minus_zero, -M_PIl);
1147 TEST_c_f (carg, minus_zero, 0, M_PIl);
1148 TEST_c_f (carg, minus_zero, minus_zero, -M_PIl);
1150 /* carg (+0 + i y) == pi/2 for y > 0. */
1151 TEST_c_f (carg, 0, 2.0, M_PI_2l);
1153 /* carg (-0 + i y) == pi/2 for y > 0. */
1154 TEST_c_f (carg, minus_zero, 2.0, M_PI_2l);
1156 /* carg (+0 + i y) == -pi/2 for y < 0. */
1157 TEST_c_f (carg, 0, -2.0, -M_PI_2l);
1159 /* carg (-0 + i y) == -pi/2 for y < 0. */
1160 TEST_c_f (carg, minus_zero, -2.0, -M_PI_2l);
1162 /* carg (inf + i y) == +0 for finite y > 0. */
1163 TEST_c_f (carg, plus_infty, 2.0, 0);
1165 /* carg (inf + i y) == -0 for finite y < 0. */
1166 TEST_c_f (carg, plus_infty, -2.0, minus_zero);
1168 /* carg(x + i inf) == pi/2 for finite x. */
1169 TEST_c_f (carg, 10.0, plus_infty, M_PI_2l);
1171 /* carg(x - i inf) == -pi/2 for finite x. */
1172 TEST_c_f (carg, 10.0, minus_infty, -M_PI_2l);
1174 /* carg (-inf + i y) == +pi for finite y > 0. */
1175 TEST_c_f (carg, minus_infty, 10.0, M_PIl);
1177 /* carg (-inf + i y) == -pi for finite y < 0. */
1178 TEST_c_f (carg, minus_infty, -10.0, -M_PIl);
1180 TEST_c_f (carg, plus_infty, plus_infty, M_PI_4l);
1182 TEST_c_f (carg, plus_infty, minus_infty, -M_PI_4l);
1184 TEST_c_f (carg, minus_infty, plus_infty, 3 * M_PI_4l);
1186 TEST_c_f (carg, minus_infty, minus_infty, -3 * M_PI_4l);
1188 TEST_c_f (carg, nan_value, nan_value, nan_value);
1197 FUNC(casin) (BUILD_COMPLEX (0.7L, 1.2L));
1198 if (errno == ENOSYS)
1199 /* Function not implemented. */
1204 TEST_c_c (casin, 0, 0, 0.0, 0.0);
1205 TEST_c_c (casin, minus_zero, 0, minus_zero, 0.0);
1206 TEST_c_c (casin, 0, minus_zero, 0.0, minus_zero);
1207 TEST_c_c (casin, minus_zero, minus_zero, minus_zero, minus_zero);
1209 TEST_c_c (casin, plus_infty, plus_infty, M_PI_4l, plus_infty);
1210 TEST_c_c (casin, plus_infty, minus_infty, M_PI_4l, minus_infty);
1211 TEST_c_c (casin, minus_infty, plus_infty, -M_PI_4l, plus_infty);
1212 TEST_c_c (casin, minus_infty, minus_infty, -M_PI_4l, minus_infty);
1214 TEST_c_c (casin, -10.0, plus_infty, minus_zero, plus_infty);
1215 TEST_c_c (casin, -10.0, minus_infty, minus_zero, minus_infty);
1216 TEST_c_c (casin, 0, plus_infty, 0.0, plus_infty);
1217 TEST_c_c (casin, 0, minus_infty, 0.0, minus_infty);
1218 TEST_c_c (casin, minus_zero, plus_infty, minus_zero, plus_infty);
1219 TEST_c_c (casin, minus_zero, minus_infty, minus_zero, minus_infty);
1220 TEST_c_c (casin, 0.1L, plus_infty, 0.0, plus_infty);
1221 TEST_c_c (casin, 0.1L, minus_infty, 0.0, minus_infty);
1223 TEST_c_c (casin, minus_infty, 0, -M_PI_2l, plus_infty);
1224 TEST_c_c (casin, minus_infty, minus_zero, -M_PI_2l, minus_infty);
1225 TEST_c_c (casin, minus_infty, 100, -M_PI_2l, plus_infty);
1226 TEST_c_c (casin, minus_infty, -100, -M_PI_2l, minus_infty);
1228 TEST_c_c (casin, plus_infty, 0, M_PI_2l, plus_infty);
1229 TEST_c_c (casin, plus_infty, minus_zero, M_PI_2l, minus_infty);
1230 TEST_c_c (casin, plus_infty, 0.5, M_PI_2l, plus_infty);
1231 TEST_c_c (casin, plus_infty, -0.5, M_PI_2l, minus_infty);
1233 TEST_c_c (casin, nan_value, plus_infty, nan_value, plus_infty);
1234 TEST_c_c (casin, nan_value, minus_infty, nan_value, minus_infty);
1236 TEST_c_c (casin, 0.0, nan_value, 0.0, nan_value);
1237 TEST_c_c (casin, minus_zero, nan_value, minus_zero, nan_value);
1239 TEST_c_c (casin, plus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
1240 TEST_c_c (casin, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
1242 TEST_c_c (casin, nan_value, 10.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1243 TEST_c_c (casin, nan_value, -10.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1245 TEST_c_c (casin, 0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1246 TEST_c_c (casin, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1248 TEST_c_c (casin, nan_value, nan_value, nan_value, nan_value);
1250 TEST_c_c (casin, 0.75L, 1.25L, 0.453276177638793913448921196101971749L, 1.13239363160530819522266333696834467L);
1251 TEST_c_c (casin, -2, -3, -0.57065278432109940071028387968566963L, -1.9833870299165354323470769028940395L);
1253 END (casin, complex);
1261 FUNC(casinh) (BUILD_COMPLEX (0.7L, 1.2L));
1262 if (errno == ENOSYS)
1263 /* Function not implemented. */
1268 TEST_c_c (casinh, 0, 0, 0.0, 0.0);
1269 TEST_c_c (casinh, minus_zero, 0, minus_zero, 0);
1270 TEST_c_c (casinh, 0, minus_zero, 0.0, minus_zero);
1271 TEST_c_c (casinh, minus_zero, minus_zero, minus_zero, minus_zero);
1273 TEST_c_c (casinh, plus_infty, plus_infty, plus_infty, M_PI_4l);
1274 TEST_c_c (casinh, plus_infty, minus_infty, plus_infty, -M_PI_4l);
1275 TEST_c_c (casinh, minus_infty, plus_infty, minus_infty, M_PI_4l);
1276 TEST_c_c (casinh, minus_infty, minus_infty, minus_infty, -M_PI_4l);
1278 TEST_c_c (casinh, -10.0, plus_infty, minus_infty, M_PI_2l);
1279 TEST_c_c (casinh, -10.0, minus_infty, minus_infty, -M_PI_2l);
1280 TEST_c_c (casinh, 0, plus_infty, plus_infty, M_PI_2l);
1281 TEST_c_c (casinh, 0, minus_infty, plus_infty, -M_PI_2l);
1282 TEST_c_c (casinh, minus_zero, plus_infty, minus_infty, M_PI_2l);
1283 TEST_c_c (casinh, minus_zero, minus_infty, minus_infty, -M_PI_2l);
1284 TEST_c_c (casinh, 0.1L, plus_infty, plus_infty, M_PI_2l);
1285 TEST_c_c (casinh, 0.1L, minus_infty, plus_infty, -M_PI_2l);
1287 TEST_c_c (casinh, minus_infty, 0, minus_infty, 0.0);
1288 TEST_c_c (casinh, minus_infty, minus_zero, minus_infty, minus_zero);
1289 TEST_c_c (casinh, minus_infty, 100, minus_infty, 0.0);
1290 TEST_c_c (casinh, minus_infty, -100, minus_infty, minus_zero);
1292 TEST_c_c (casinh, plus_infty, 0, plus_infty, 0.0);
1293 TEST_c_c (casinh, plus_infty, minus_zero, plus_infty, minus_zero);
1294 TEST_c_c (casinh, plus_infty, 0.5, plus_infty, 0.0);
1295 TEST_c_c (casinh, plus_infty, -0.5, plus_infty, minus_zero);
1297 TEST_c_c (casinh, plus_infty, nan_value, plus_infty, nan_value);
1298 TEST_c_c (casinh, minus_infty, nan_value, minus_infty, nan_value);
1300 TEST_c_c (casinh, nan_value, 0, nan_value, 0.0);
1301 TEST_c_c (casinh, nan_value, minus_zero, nan_value, minus_zero);
1303 TEST_c_c (casinh, nan_value, plus_infty, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
1304 TEST_c_c (casinh, nan_value, minus_infty, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
1306 TEST_c_c (casinh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1307 TEST_c_c (casinh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1309 TEST_c_c (casinh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1310 TEST_c_c (casinh, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1312 TEST_c_c (casinh, nan_value, nan_value, nan_value, nan_value);
1314 TEST_c_c (casinh, 0.75L, 1.25L, 1.03171853444778027336364058631006594L, 0.911738290968487636358489564316731207L);
1315 TEST_c_c (casinh, -2, -3, -1.9686379257930962917886650952454982L, -0.96465850440760279204541105949953237L);
1317 END (casinh, complex);
1325 FUNC(catan) (BUILD_COMPLEX (0.7L, 1.2L));
1326 if (errno == ENOSYS)
1327 /* Function not implemented. */
1332 TEST_c_c (catan, 0, 0, 0, 0);
1333 TEST_c_c (catan, minus_zero, 0, minus_zero, 0);
1334 TEST_c_c (catan, 0, minus_zero, 0, minus_zero);
1335 TEST_c_c (catan, minus_zero, minus_zero, minus_zero, minus_zero);
1337 TEST_c_c (catan, plus_infty, plus_infty, M_PI_2l, 0);
1338 TEST_c_c (catan, plus_infty, minus_infty, M_PI_2l, minus_zero);
1339 TEST_c_c (catan, minus_infty, plus_infty, -M_PI_2l, 0);
1340 TEST_c_c (catan, minus_infty, minus_infty, -M_PI_2l, minus_zero);
1343 TEST_c_c (catan, plus_infty, -10.0, M_PI_2l, minus_zero);
1344 TEST_c_c (catan, minus_infty, -10.0, -M_PI_2l, minus_zero);
1345 TEST_c_c (catan, plus_infty, minus_zero, M_PI_2l, minus_zero);
1346 TEST_c_c (catan, minus_infty, minus_zero, -M_PI_2l, minus_zero);
1347 TEST_c_c (catan, plus_infty, 0.0, M_PI_2l, 0);
1348 TEST_c_c (catan, minus_infty, 0.0, -M_PI_2l, 0);
1349 TEST_c_c (catan, plus_infty, 0.1L, M_PI_2l, 0);
1350 TEST_c_c (catan, minus_infty, 0.1L, -M_PI_2l, 0);
1352 TEST_c_c (catan, 0.0, minus_infty, M_PI_2l, minus_zero);
1353 TEST_c_c (catan, minus_zero, minus_infty, -M_PI_2l, minus_zero);
1354 TEST_c_c (catan, 100.0, minus_infty, M_PI_2l, minus_zero);
1355 TEST_c_c (catan, -100.0, minus_infty, -M_PI_2l, minus_zero);
1357 TEST_c_c (catan, 0.0, plus_infty, M_PI_2l, 0);
1358 TEST_c_c (catan, minus_zero, plus_infty, -M_PI_2l, 0);
1359 TEST_c_c (catan, 0.5, plus_infty, M_PI_2l, 0);
1360 TEST_c_c (catan, -0.5, plus_infty, -M_PI_2l, 0);
1362 TEST_c_c (catan, nan_value, 0.0, nan_value, 0);
1363 TEST_c_c (catan, nan_value, minus_zero, nan_value, minus_zero);
1365 TEST_c_c (catan, nan_value, plus_infty, nan_value, 0);
1366 TEST_c_c (catan, nan_value, minus_infty, nan_value, minus_zero);
1368 TEST_c_c (catan, 0.0, nan_value, nan_value, nan_value);
1369 TEST_c_c (catan, minus_zero, nan_value, nan_value, nan_value);
1371 TEST_c_c (catan, plus_infty, nan_value, M_PI_2l, 0, IGNORE_ZERO_INF_SIGN);
1372 TEST_c_c (catan, minus_infty, nan_value, -M_PI_2l, 0, IGNORE_ZERO_INF_SIGN);
1374 TEST_c_c (catan, nan_value, 10.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1375 TEST_c_c (catan, nan_value, -10.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1377 TEST_c_c (catan, 0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1378 TEST_c_c (catan, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1380 TEST_c_c (catan, nan_value, nan_value, nan_value, nan_value);
1382 TEST_c_c (catan, 0.75L, 1.25L, 1.10714871779409050301706546017853704L, 0.549306144334054845697622618461262852L);
1383 TEST_c_c (catan, -2, -3, -1.4099210495965755225306193844604208L, -0.22907268296853876629588180294200276L);
1385 END (catan, complex);
1392 FUNC(catanh) (BUILD_COMPLEX (0.7L, 1.2L));
1393 if (errno == ENOSYS)
1394 /* Function not implemented. */
1399 TEST_c_c (catanh, 0, 0, 0.0, 0.0);
1400 TEST_c_c (catanh, minus_zero, 0, minus_zero, 0.0);
1401 TEST_c_c (catanh, 0, minus_zero, 0.0, minus_zero);
1402 TEST_c_c (catanh, minus_zero, minus_zero, minus_zero, minus_zero);
1404 TEST_c_c (catanh, plus_infty, plus_infty, 0.0, M_PI_2l);
1405 TEST_c_c (catanh, plus_infty, minus_infty, 0.0, -M_PI_2l);
1406 TEST_c_c (catanh, minus_infty, plus_infty, minus_zero, M_PI_2l);
1407 TEST_c_c (catanh, minus_infty, minus_infty, minus_zero, -M_PI_2l);
1409 TEST_c_c (catanh, -10.0, plus_infty, minus_zero, M_PI_2l);
1410 TEST_c_c (catanh, -10.0, minus_infty, minus_zero, -M_PI_2l);
1411 TEST_c_c (catanh, minus_zero, plus_infty, minus_zero, M_PI_2l);
1412 TEST_c_c (catanh, minus_zero, minus_infty, minus_zero, -M_PI_2l);
1413 TEST_c_c (catanh, 0, plus_infty, 0.0, M_PI_2l);
1414 TEST_c_c (catanh, 0, minus_infty, 0.0, -M_PI_2l);
1415 TEST_c_c (catanh, 0.1L, plus_infty, 0.0, M_PI_2l);
1416 TEST_c_c (catanh, 0.1L, minus_infty, 0.0, -M_PI_2l);
1418 TEST_c_c (catanh, minus_infty, 0, minus_zero, M_PI_2l);
1419 TEST_c_c (catanh, minus_infty, minus_zero, minus_zero, -M_PI_2l);
1420 TEST_c_c (catanh, minus_infty, 100, minus_zero, M_PI_2l);
1421 TEST_c_c (catanh, minus_infty, -100, minus_zero, -M_PI_2l);
1423 TEST_c_c (catanh, plus_infty, 0, 0.0, M_PI_2l);
1424 TEST_c_c (catanh, plus_infty, minus_zero, 0.0, -M_PI_2l);
1425 TEST_c_c (catanh, plus_infty, 0.5, 0.0, M_PI_2l);
1426 TEST_c_c (catanh, plus_infty, -0.5, 0.0, -M_PI_2l);
1428 TEST_c_c (catanh, 0, nan_value, 0.0, nan_value);
1429 TEST_c_c (catanh, minus_zero, nan_value, minus_zero, nan_value);
1431 TEST_c_c (catanh, plus_infty, nan_value, 0.0, nan_value);
1432 TEST_c_c (catanh, minus_infty, nan_value, minus_zero, nan_value);
1434 TEST_c_c (catanh, nan_value, 0, nan_value, nan_value);
1435 TEST_c_c (catanh, nan_value, minus_zero, nan_value, nan_value);
1437 TEST_c_c (catanh, nan_value, plus_infty, 0.0, M_PI_2l, IGNORE_ZERO_INF_SIGN);
1438 TEST_c_c (catanh, nan_value, minus_infty, 0.0, -M_PI_2l, IGNORE_ZERO_INF_SIGN);
1440 TEST_c_c (catanh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1441 TEST_c_c (catanh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1443 TEST_c_c (catanh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1444 TEST_c_c (catanh, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1446 TEST_c_c (catanh, nan_value, nan_value, nan_value, nan_value);
1448 TEST_c_c (catanh, 0.75L, 1.25L, 0.261492138795671927078652057366532140L, 0.996825126463918666098902241310446708L);
1449 TEST_c_c (catanh, -2, -3, -0.14694666622552975204743278515471595L, -1.3389725222944935611241935759091443L);
1451 END (catanh, complex);
1460 if (errno == ENOSYS)
1461 /* Function not implemented. */
1466 TEST_f_f (cbrt, 0.0, 0.0);
1467 TEST_f_f (cbrt, minus_zero, minus_zero);
1469 TEST_f_f (cbrt, plus_infty, plus_infty);
1470 TEST_f_f (cbrt, minus_infty, minus_infty);
1471 TEST_f_f (cbrt, nan_value, nan_value);
1473 TEST_f_f (cbrt, -0.001L, -0.1L);
1474 TEST_f_f (cbrt, 8, 2);
1475 TEST_f_f (cbrt, -27.0, -3.0);
1476 TEST_f_f (cbrt, 0.9921875L, 0.997389022060725270579075195353955217L);
1477 TEST_f_f (cbrt, 0.75L, 0.908560296416069829445605878163630251L);
1488 FUNC(ccos) (BUILD_COMPLEX (0, 0));
1489 if (errno == ENOSYS)
1490 /* Function not implemented. */
1495 TEST_c_c (ccos, 0.0, 0.0, 1.0, minus_zero);
1496 TEST_c_c (ccos, minus_zero, 0.0, 1.0, 0.0);
1497 TEST_c_c (ccos, 0.0, minus_zero, 1.0, 0.0);
1498 TEST_c_c (ccos, minus_zero, minus_zero, 1.0, minus_zero);
1500 TEST_c_c (ccos, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1501 TEST_c_c (ccos, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1502 TEST_c_c (ccos, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1503 TEST_c_c (ccos, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1505 TEST_c_c (ccos, 0.0, plus_infty, plus_infty, minus_zero);
1506 TEST_c_c (ccos, 0.0, minus_infty, plus_infty, 0.0);
1507 TEST_c_c (ccos, minus_zero, plus_infty, plus_infty, 0.0);
1508 TEST_c_c (ccos, minus_zero, minus_infty, plus_infty, minus_zero);
1510 TEST_c_c (ccos, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1511 TEST_c_c (ccos, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1512 TEST_c_c (ccos, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1513 TEST_c_c (ccos, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1515 TEST_c_c (ccos, 4.625, plus_infty, minus_infty, plus_infty);
1516 TEST_c_c (ccos, 4.625, minus_infty, minus_infty, minus_infty);
1517 TEST_c_c (ccos, -4.625, plus_infty, minus_infty, minus_infty);
1518 TEST_c_c (ccos, -4.625, minus_infty, minus_infty, plus_infty);
1520 TEST_c_c (ccos, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
1521 TEST_c_c (ccos, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
1522 TEST_c_c (ccos, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
1523 TEST_c_c (ccos, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
1525 TEST_c_c (ccos, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1526 TEST_c_c (ccos, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1528 TEST_c_c (ccos, nan_value, plus_infty, plus_infty, nan_value);
1529 TEST_c_c (ccos, nan_value, minus_infty, plus_infty, nan_value);
1531 TEST_c_c (ccos, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1532 TEST_c_c (ccos, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1534 TEST_c_c (ccos, 0.0, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1535 TEST_c_c (ccos, minus_zero, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1537 TEST_c_c (ccos, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1538 TEST_c_c (ccos, -10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1540 TEST_c_c (ccos, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1541 TEST_c_c (ccos, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1543 TEST_c_c (ccos, nan_value, nan_value, nan_value, nan_value);
1545 TEST_c_c (ccos, 0.75L, 1.25L, 1.38173873063425888530729933139078645L, -1.09193013555397466170919531722024128L);
1546 TEST_c_c (ccos, -2, -3, -4.18962569096880723013255501961597373L, -9.10922789375533659797919726277886212L);
1548 END (ccos, complex);
1556 FUNC(ccosh) (BUILD_COMPLEX (0.7L, 1.2L));
1557 if (errno == ENOSYS)
1558 /* Function not implemented. */
1563 TEST_c_c (ccosh, 0.0, 0.0, 1.0, 0.0);
1564 TEST_c_c (ccosh, minus_zero, 0.0, 1.0, minus_zero);
1565 TEST_c_c (ccosh, 0.0, minus_zero, 1.0, minus_zero);
1566 TEST_c_c (ccosh, minus_zero, minus_zero, 1.0, 0.0);
1568 TEST_c_c (ccosh, 0.0, plus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1569 TEST_c_c (ccosh, minus_zero, plus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1570 TEST_c_c (ccosh, 0.0, minus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1571 TEST_c_c (ccosh, minus_zero, minus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1573 TEST_c_c (ccosh, plus_infty, 0.0, plus_infty, 0.0);
1574 TEST_c_c (ccosh, minus_infty, 0.0, plus_infty, minus_zero);
1575 TEST_c_c (ccosh, plus_infty, minus_zero, plus_infty, minus_zero);
1576 TEST_c_c (ccosh, minus_infty, minus_zero, plus_infty, 0.0);
1578 TEST_c_c (ccosh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1579 TEST_c_c (ccosh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1580 TEST_c_c (ccosh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1581 TEST_c_c (ccosh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1583 TEST_c_c (ccosh, plus_infty, 4.625, minus_infty, minus_infty);
1584 TEST_c_c (ccosh, minus_infty, 4.625, minus_infty, plus_infty);
1585 TEST_c_c (ccosh, plus_infty, -4.625, minus_infty, plus_infty);
1586 TEST_c_c (ccosh, minus_infty, -4.625, minus_infty, minus_infty);
1588 TEST_c_c (ccosh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1589 TEST_c_c (ccosh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1590 TEST_c_c (ccosh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1591 TEST_c_c (ccosh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1593 TEST_c_c (ccosh, 0.0, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1594 TEST_c_c (ccosh, minus_zero, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1596 TEST_c_c (ccosh, plus_infty, nan_value, plus_infty, nan_value);
1597 TEST_c_c (ccosh, minus_infty, nan_value, plus_infty, nan_value);
1599 TEST_c_c (ccosh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1600 TEST_c_c (ccosh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1602 TEST_c_c (ccosh, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1603 TEST_c_c (ccosh, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1605 TEST_c_c (ccosh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1606 TEST_c_c (ccosh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1608 TEST_c_c (ccosh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1609 TEST_c_c (ccosh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1611 TEST_c_c (ccosh, nan_value, nan_value, nan_value, nan_value);
1613 TEST_c_c (ccosh, 0.75L, 1.25L, 0.408242591877968807788852146397499084L, 0.780365930845853240391326216300863152L);
1615 TEST_c_c (ccosh, -2, -3, -3.72454550491532256547397070325597253L, 0.511822569987384608834463849801875634L);
1617 END (ccosh, complex);
1627 TEST_f_f (ceil, 0.0, 0.0);
1628 TEST_f_f (ceil, minus_zero, minus_zero);
1629 TEST_f_f (ceil, plus_infty, plus_infty);
1630 TEST_f_f (ceil, minus_infty, minus_infty);
1631 TEST_f_f (ceil, nan_value, nan_value);
1633 TEST_f_f (ceil, M_PIl, 4.0);
1634 TEST_f_f (ceil, -M_PIl, -3.0);
1635 TEST_f_f (ceil, 0.25, 1.0);
1636 TEST_f_f (ceil, -0.25, minus_zero);
1639 /* The result can only be represented in long double. */
1640 TEST_f_f (ceil, 4503599627370495.5L, 4503599627370496.0L);
1641 TEST_f_f (ceil, 4503599627370496.25L, 4503599627370497.0L);
1642 TEST_f_f (ceil, 4503599627370496.5L, 4503599627370497.0L);
1643 TEST_f_f (ceil, 4503599627370496.75L, 4503599627370497.0L);
1644 TEST_f_f (ceil, 4503599627370497.5L, 4503599627370498.0L);
1646 TEST_f_f (ceil, -4503599627370495.5L, -4503599627370495.0L);
1647 TEST_f_f (ceil, -4503599627370496.25L, -4503599627370496.0L);
1648 TEST_f_f (ceil, -4503599627370496.5L, -4503599627370496.0L);
1649 TEST_f_f (ceil, -4503599627370496.75L, -4503599627370496.0L);
1650 TEST_f_f (ceil, -4503599627370497.5L, -4503599627370497.0L);
1652 TEST_f_f (ceil, 9007199254740991.5L, 9007199254740992.0L);
1653 TEST_f_f (ceil, 9007199254740992.25L, 9007199254740993.0L);
1654 TEST_f_f (ceil, 9007199254740992.5L, 9007199254740993.0L);
1655 TEST_f_f (ceil, 9007199254740992.75L, 9007199254740993.0L);
1656 TEST_f_f (ceil, 9007199254740993.5L, 9007199254740994.0L);
1658 TEST_f_f (ceil, -9007199254740991.5L, -9007199254740991.0L);
1659 TEST_f_f (ceil, -9007199254740992.25L, -9007199254740992.0L);
1660 TEST_f_f (ceil, -9007199254740992.5L, -9007199254740992.0L);
1661 TEST_f_f (ceil, -9007199254740992.75L, -9007199254740992.0L);
1662 TEST_f_f (ceil, -9007199254740993.5L, -9007199254740993.0L);
1664 TEST_f_f (ceil, 72057594037927935.5L, 72057594037927936.0L);
1665 TEST_f_f (ceil, 72057594037927936.25L, 72057594037927937.0L);
1666 TEST_f_f (ceil, 72057594037927936.5L, 72057594037927937.0L);
1667 TEST_f_f (ceil, 72057594037927936.75L, 72057594037927937.0L);
1668 TEST_f_f (ceil, 72057594037927937.5L, 72057594037927938.0L);
1670 TEST_f_f (ceil, -72057594037927935.5L, -72057594037927935.0L);
1671 TEST_f_f (ceil, -72057594037927936.25L, -72057594037927936.0L);
1672 TEST_f_f (ceil, -72057594037927936.5L, -72057594037927936.0L);
1673 TEST_f_f (ceil, -72057594037927936.75L, -72057594037927936.0L);
1674 TEST_f_f (ceil, -72057594037927937.5L, -72057594037927937.0L);
1676 TEST_f_f (ceil, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
1677 TEST_f_f (ceil, 10141204801825835211973625643008.25L, 10141204801825835211973625643009.0L);
1678 TEST_f_f (ceil, 10141204801825835211973625643008.5L, 10141204801825835211973625643009.0L);
1679 TEST_f_f (ceil, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
1680 TEST_f_f (ceil, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
1692 FUNC(cexp) (BUILD_COMPLEX (0, 0));
1693 if (errno == ENOSYS)
1694 /* Function not implemented. */
1699 TEST_c_c (cexp, plus_zero, plus_zero, 1, 0.0);
1700 TEST_c_c (cexp, minus_zero, plus_zero, 1, 0.0);
1701 TEST_c_c (cexp, plus_zero, minus_zero, 1, minus_zero);
1702 TEST_c_c (cexp, minus_zero, minus_zero, 1, minus_zero);
1704 TEST_c_c (cexp, plus_infty, plus_zero, plus_infty, 0.0);
1705 TEST_c_c (cexp, plus_infty, minus_zero, plus_infty, minus_zero);
1707 TEST_c_c (cexp, minus_infty, plus_zero, 0.0, 0.0);
1708 TEST_c_c (cexp, minus_infty, minus_zero, 0.0, minus_zero);
1710 TEST_c_c (cexp, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1711 TEST_c_c (cexp, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1713 TEST_c_c (cexp, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1714 TEST_c_c (cexp, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1716 TEST_c_c (cexp, 100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1717 TEST_c_c (cexp, -100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1719 TEST_c_c (cexp, 100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1720 TEST_c_c (cexp, -100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1722 TEST_c_c (cexp, minus_infty, 2.0, minus_zero, 0.0);
1723 TEST_c_c (cexp, minus_infty, 4.0, minus_zero, minus_zero);
1724 TEST_c_c (cexp, plus_infty, 2.0, minus_infty, plus_infty);
1725 TEST_c_c (cexp, plus_infty, 4.0, minus_infty, minus_infty);
1727 TEST_c_c (cexp, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1728 TEST_c_c (cexp, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1730 TEST_c_c (cexp, minus_infty, plus_infty, 0.0, 0.0, IGNORE_ZERO_INF_SIGN);
1731 TEST_c_c (cexp, minus_infty, minus_infty, 0.0, minus_zero, IGNORE_ZERO_INF_SIGN);
1733 TEST_c_c (cexp, minus_infty, nan_value, 0, 0, IGNORE_ZERO_INF_SIGN);
1735 TEST_c_c (cexp, plus_infty, nan_value, plus_infty, nan_value);
1737 TEST_c_c (cexp, nan_value, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1738 TEST_c_c (cexp, nan_value, 1.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1740 TEST_c_c (cexp, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1741 TEST_c_c (cexp, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1742 TEST_c_c (cexp, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1743 TEST_c_c (cexp, nan_value, nan_value, nan_value, nan_value);
1745 TEST_c_c (cexp, 0.75L, 1.25L, 0.667537446429131586942201977015932112L, 2.00900045494094876258347228145863909L);
1746 TEST_c_c (cexp, -2.0, -3.0, -0.13398091492954261346140525546115575L, -0.019098516261135196432576240858800925L);
1748 END (cexp, complex);
1756 TEST_c_f (cimag, 1.0, 0.0, 0.0);
1757 TEST_c_f (cimag, 1.0, minus_zero, minus_zero);
1758 TEST_c_f (cimag, 1.0, nan_value, nan_value);
1759 TEST_c_f (cimag, nan_value, nan_value, nan_value);
1760 TEST_c_f (cimag, 1.0, plus_infty, plus_infty);
1761 TEST_c_f (cimag, 1.0, minus_infty, minus_infty);
1762 TEST_c_f (cimag, 2.0, 3.0, 3.0);
1771 FUNC(clog) (BUILD_COMPLEX (-2, -3));
1772 if (errno == ENOSYS)
1773 /* Function not implemented. */
1778 TEST_c_c (clog, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1779 TEST_c_c (clog, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1781 TEST_c_c (clog, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION);
1782 TEST_c_c (clog, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION);
1784 TEST_c_c (clog, minus_infty, plus_infty, plus_infty, M_PI_34l);
1785 TEST_c_c (clog, minus_infty, minus_infty, plus_infty, -M_PI_34l);
1787 TEST_c_c (clog, plus_infty, plus_infty, plus_infty, M_PI_4l);
1788 TEST_c_c (clog, plus_infty, minus_infty, plus_infty, -M_PI_4l);
1790 TEST_c_c (clog, 0, plus_infty, plus_infty, M_PI_2l);
1791 TEST_c_c (clog, 3, plus_infty, plus_infty, M_PI_2l);
1792 TEST_c_c (clog, minus_zero, plus_infty, plus_infty, M_PI_2l);
1793 TEST_c_c (clog, -3, plus_infty, plus_infty, M_PI_2l);
1794 TEST_c_c (clog, 0, minus_infty, plus_infty, -M_PI_2l);
1795 TEST_c_c (clog, 3, minus_infty, plus_infty, -M_PI_2l);
1796 TEST_c_c (clog, minus_zero, minus_infty, plus_infty, -M_PI_2l);
1797 TEST_c_c (clog, -3, minus_infty, plus_infty, -M_PI_2l);
1799 TEST_c_c (clog, minus_infty, 0, plus_infty, M_PIl);
1800 TEST_c_c (clog, minus_infty, 1, plus_infty, M_PIl);
1801 TEST_c_c (clog, minus_infty, minus_zero, plus_infty, -M_PIl);
1802 TEST_c_c (clog, minus_infty, -1, plus_infty, -M_PIl);
1804 TEST_c_c (clog, plus_infty, 0, plus_infty, 0.0);
1805 TEST_c_c (clog, plus_infty, 1, plus_infty, 0.0);
1806 TEST_c_c (clog, plus_infty, minus_zero, plus_infty, minus_zero);
1807 TEST_c_c (clog, plus_infty, -1, plus_infty, minus_zero);
1809 TEST_c_c (clog, plus_infty, nan_value, plus_infty, nan_value);
1810 TEST_c_c (clog, minus_infty, nan_value, plus_infty, nan_value);
1812 TEST_c_c (clog, nan_value, plus_infty, plus_infty, nan_value);
1813 TEST_c_c (clog, nan_value, minus_infty, plus_infty, nan_value);
1815 TEST_c_c (clog, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1816 TEST_c_c (clog, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1817 TEST_c_c (clog, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1818 TEST_c_c (clog, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1820 TEST_c_c (clog, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1821 TEST_c_c (clog, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1822 TEST_c_c (clog, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
1823 TEST_c_c (clog, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1825 TEST_c_c (clog, nan_value, nan_value, nan_value, nan_value);
1827 TEST_c_c (clog, 0.75L, 1.25L, 0.376885901188190075998919126749298416L, 1.03037682652431246378774332703115153L);
1828 TEST_c_c (clog, -2, -3, 1.2824746787307683680267437207826593L, -2.1587989303424641704769327722648368L);
1830 END (clog, complex);
1838 FUNC(clog10) (BUILD_COMPLEX (0.7L, 1.2L));
1839 if (errno == ENOSYS)
1840 /* Function not implemented. */
1845 TEST_c_c (clog10, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1846 TEST_c_c (clog10, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1848 TEST_c_c (clog10, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION);
1849 TEST_c_c (clog10, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION);
1851 TEST_c_c (clog10, minus_infty, plus_infty, plus_infty, M_PI_34_LOG10El);
1853 TEST_c_c (clog10, plus_infty, plus_infty, plus_infty, M_PI4_LOG10El);
1854 TEST_c_c (clog10, plus_infty, minus_infty, plus_infty, -M_PI4_LOG10El);
1856 TEST_c_c (clog10, 0, plus_infty, plus_infty, M_PI2_LOG10El);
1857 TEST_c_c (clog10, 3, plus_infty, plus_infty, M_PI2_LOG10El);
1858 TEST_c_c (clog10, minus_zero, plus_infty, plus_infty, M_PI2_LOG10El);
1859 TEST_c_c (clog10, -3, plus_infty, plus_infty, M_PI2_LOG10El);
1860 TEST_c_c (clog10, 0, minus_infty, plus_infty, -M_PI2_LOG10El);
1861 TEST_c_c (clog10, 3, minus_infty, plus_infty, -M_PI2_LOG10El);
1862 TEST_c_c (clog10, minus_zero, minus_infty, plus_infty, -M_PI2_LOG10El);
1863 TEST_c_c (clog10, -3, minus_infty, plus_infty, -M_PI2_LOG10El);
1865 TEST_c_c (clog10, minus_infty, 0, plus_infty, M_PI_LOG10El);
1866 TEST_c_c (clog10, minus_infty, 1, plus_infty, M_PI_LOG10El);
1867 TEST_c_c (clog10, minus_infty, minus_zero, plus_infty, -M_PI_LOG10El);
1868 TEST_c_c (clog10, minus_infty, -1, plus_infty, -M_PI_LOG10El);
1870 TEST_c_c (clog10, plus_infty, 0, plus_infty, 0.0);
1871 TEST_c_c (clog10, plus_infty, 1, plus_infty, 0.0);
1872 TEST_c_c (clog10, plus_infty, minus_zero, plus_infty, minus_zero);
1873 TEST_c_c (clog10, plus_infty, -1, plus_infty, minus_zero);
1875 TEST_c_c (clog10, plus_infty, nan_value, plus_infty, nan_value);
1876 TEST_c_c (clog10, minus_infty, nan_value, plus_infty, nan_value);
1878 TEST_c_c (clog10, nan_value, plus_infty, plus_infty, nan_value);
1879 TEST_c_c (clog10, nan_value, minus_infty, plus_infty, nan_value);
1881 TEST_c_c (clog10, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1882 TEST_c_c (clog10, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1883 TEST_c_c (clog10, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1884 TEST_c_c (clog10, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1886 TEST_c_c (clog10, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1887 TEST_c_c (clog10, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1888 TEST_c_c (clog10, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
1889 TEST_c_c (clog10, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1891 TEST_c_c (clog10, nan_value, nan_value, nan_value, nan_value);
1893 TEST_c_c (clog10, 0.75L, 1.25L, 0.163679467193165171449476605077428975L, 0.447486970040493067069984724340855636L);
1894 TEST_c_c (clog10, -2, -3, 0.556971676153418384603252578971164214L, -0.937554462986374708541507952140189646L);
1896 END (clog10, complex);
1906 TEST_c_c (conj, 0.0, 0.0, 0.0, minus_zero);
1907 TEST_c_c (conj, 0.0, minus_zero, 0.0, 0.0);
1908 TEST_c_c (conj, nan_value, nan_value, nan_value, nan_value);
1909 TEST_c_c (conj, plus_infty, minus_infty, plus_infty, plus_infty);
1910 TEST_c_c (conj, plus_infty, plus_infty, plus_infty, minus_infty);
1911 TEST_c_c (conj, 1.0, 2.0, 1.0, -2.0);
1912 TEST_c_c (conj, 3.0, -4.0, 3.0, 4.0);
1914 END (conj, complex);
1920 copysign_test (void)
1924 TEST_ff_f (copysign, 0, 4, 0);
1925 TEST_ff_f (copysign, 0, -4, minus_zero);
1926 TEST_ff_f (copysign, minus_zero, 4, 0);
1927 TEST_ff_f (copysign, minus_zero, -4, minus_zero);
1929 TEST_ff_f (copysign, plus_infty, 0, plus_infty);
1930 TEST_ff_f (copysign, plus_infty, minus_zero, minus_infty);
1931 TEST_ff_f (copysign, minus_infty, 0, plus_infty);
1932 TEST_ff_f (copysign, minus_infty, minus_zero, minus_infty);
1934 TEST_ff_f (copysign, 0, plus_infty, 0);
1935 TEST_ff_f (copysign, 0, minus_zero, minus_zero);
1936 TEST_ff_f (copysign, minus_zero, plus_infty, 0);
1937 TEST_ff_f (copysign, minus_zero, minus_zero, minus_zero);
1939 /* XXX More correctly we would have to check the sign of the NaN. */
1940 TEST_ff_f (copysign, nan_value, 0, nan_value);
1941 TEST_ff_f (copysign, nan_value, minus_zero, nan_value);
1942 TEST_ff_f (copysign, -nan_value, 0, nan_value);
1943 TEST_ff_f (copysign, -nan_value, minus_zero, nan_value);
1954 if (errno == ENOSYS)
1955 /* Function not implemented. */
1960 TEST_f_f (cos, 0, 1);
1961 TEST_f_f (cos, minus_zero, 1);
1962 TEST_f_f (cos, plus_infty, nan_value, INVALID_EXCEPTION);
1963 TEST_f_f (cos, minus_infty, nan_value, INVALID_EXCEPTION);
1964 TEST_f_f (cos, nan_value, nan_value);
1966 TEST_f_f (cos, M_PI_6l * 2.0, 0.5);
1967 TEST_f_f (cos, M_PI_6l * 4.0, -0.5);
1968 TEST_f_f (cos, M_PI_2l, 0);
1970 TEST_f_f (cos, 0.75L, 0.731688868873820886311838753000084544L);
1973 TEST_f_f (cos, 0.80190127184058835, 0.69534156199418473);
1985 if (errno == ENOSYS)
1986 /* Function not implemented. */
1990 TEST_f_f (cosh, 0, 1);
1991 TEST_f_f (cosh, minus_zero, 1);
1994 TEST_f_f (cosh, plus_infty, plus_infty);
1995 TEST_f_f (cosh, minus_infty, plus_infty);
1997 TEST_f_f (cosh, nan_value, nan_value);
1999 TEST_f_f (cosh, 0.75L, 1.29468328467684468784170818539018176L);
2010 FUNC(cpow) (BUILD_COMPLEX (1, 0), BUILD_COMPLEX (0, 0));
2011 if (errno == ENOSYS)
2012 /* Function not implemented. */
2017 TEST_cc_c (cpow, 1, 0, 0, 0, 1.0, 0.0);
2018 TEST_cc_c (cpow, 2, 0, 10, 0, 1024.0, 0.0);
2020 TEST_cc_c (cpow, M_El, 0, 0, 2 * M_PIl, 1.0, 0.0);
2021 TEST_cc_c (cpow, 2, 3, 4, 0, -119.0, -120.0);
2023 TEST_cc_c (cpow, nan_value, nan_value, nan_value, nan_value, nan_value, nan_value);
2025 TEST_cc_c (cpow, 0.75L, 1.25L, 0.75L, 1.25L, 0.117506293914473555420279832210420483L, 0.346552747708338676483025352060418001L);
2026 TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 1.0L, 0.0846958290317209430433805274189191353L, 0.513285749182902449043287190519090481L);
2027 TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 0.0L, 0.75L, 1.25L);
2028 TEST_cc_c (cpow, 0.75L, 1.25L, 0.0L, 1.0L, 0.331825439177608832276067945276730566L, 0.131338600281188544930936345230903032L);
2030 END (cpow, complex);
2038 TEST_c_c (cproj, 0.0, 0.0, 0.0, 0.0);
2039 TEST_c_c (cproj, minus_zero, minus_zero, minus_zero, minus_zero);
2040 TEST_c_c (cproj, 0.0, minus_zero, 0.0, minus_zero);
2041 TEST_c_c (cproj, minus_zero, 0.0, minus_zero, 0.0);
2043 TEST_c_c (cproj, nan_value, nan_value, nan_value, nan_value);
2045 TEST_c_c (cproj, plus_infty, plus_infty, plus_infty, 0.0);
2046 TEST_c_c (cproj, plus_infty, minus_infty, plus_infty, minus_zero);
2047 TEST_c_c (cproj, minus_infty, plus_infty, plus_infty, 0.0);
2048 TEST_c_c (cproj, minus_infty, minus_infty, plus_infty, minus_zero);
2050 TEST_c_c (cproj, 1.0, 0.0, 1.0, 0.0);
2051 TEST_c_c (cproj, 2.0, 3.0, 0.2857142857142857142857142857142857L, 0.42857142857142857142857142857142855L);
2053 END (cproj, complex);
2061 TEST_c_f (creal, 0.0, 1.0, 0.0);
2062 TEST_c_f (creal, minus_zero, 1.0, minus_zero);
2063 TEST_c_f (creal, nan_value, 1.0, nan_value);
2064 TEST_c_f (creal, nan_value, nan_value, nan_value);
2065 TEST_c_f (creal, plus_infty, 1.0, plus_infty);
2066 TEST_c_f (creal, minus_infty, 1.0, minus_infty);
2067 TEST_c_f (creal, 2.0, 3.0, 2.0);
2076 FUNC(csin) (BUILD_COMPLEX (0.7L, 1.2L));
2077 if (errno == ENOSYS)
2078 /* Function not implemented. */
2083 TEST_c_c (csin, 0.0, 0.0, 0.0, 0.0);
2084 TEST_c_c (csin, minus_zero, 0.0, minus_zero, 0.0);
2085 TEST_c_c (csin, 0.0, minus_zero, 0, minus_zero);
2086 TEST_c_c (csin, minus_zero, minus_zero, minus_zero, minus_zero);
2088 TEST_c_c (csin, 0.0, plus_infty, 0.0, plus_infty);
2089 TEST_c_c (csin, minus_zero, plus_infty, minus_zero, plus_infty);
2090 TEST_c_c (csin, 0.0, minus_infty, 0.0, minus_infty);
2091 TEST_c_c (csin, minus_zero, minus_infty, minus_zero, minus_infty);
2093 TEST_c_c (csin, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2094 TEST_c_c (csin, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2095 TEST_c_c (csin, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2096 TEST_c_c (csin, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2098 TEST_c_c (csin, plus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2099 TEST_c_c (csin, minus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2100 TEST_c_c (csin, plus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2101 TEST_c_c (csin, minus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2103 TEST_c_c (csin, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
2104 TEST_c_c (csin, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
2105 TEST_c_c (csin, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
2106 TEST_c_c (csin, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
2108 TEST_c_c (csin, 4.625, plus_infty, minus_infty, minus_infty);
2109 TEST_c_c (csin, 4.625, minus_infty, minus_infty, plus_infty);
2110 TEST_c_c (csin, -4.625, plus_infty, plus_infty, minus_infty);
2111 TEST_c_c (csin, -4.625, minus_infty, plus_infty, plus_infty);
2113 TEST_c_c (csin, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
2114 TEST_c_c (csin, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
2116 TEST_c_c (csin, nan_value, plus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2117 TEST_c_c (csin, nan_value, minus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2119 TEST_c_c (csin, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2120 TEST_c_c (csin, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2122 TEST_c_c (csin, 0.0, nan_value, 0.0, nan_value);
2123 TEST_c_c (csin, minus_zero, nan_value, minus_zero, nan_value);
2125 TEST_c_c (csin, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2126 TEST_c_c (csin, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2128 TEST_c_c (csin, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2129 TEST_c_c (csin, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2131 TEST_c_c (csin, nan_value, nan_value, nan_value, nan_value);
2133 TEST_c_c (csin, 0.75L, 1.25L, 1.28722291002649188575873510790565441L, 1.17210635989270256101081285116138863L);
2134 TEST_c_c (csin, -2, -3, -9.15449914691142957346729954460983256L, 4.16890695996656435075481305885375484L);
2136 END (csin, complex);
2144 FUNC(csinh) (BUILD_COMPLEX (0.7L, 1.2L));
2145 if (errno == ENOSYS)
2146 /* Function not implemented. */
2151 TEST_c_c (csinh, 0.0, 0.0, 0.0, 0.0);
2152 TEST_c_c (csinh, minus_zero, 0.0, minus_zero, 0.0);
2153 TEST_c_c (csinh, 0.0, minus_zero, 0.0, minus_zero);
2154 TEST_c_c (csinh, minus_zero, minus_zero, minus_zero, minus_zero);
2156 TEST_c_c (csinh, 0.0, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2157 TEST_c_c (csinh, minus_zero, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2158 TEST_c_c (csinh, 0.0, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2159 TEST_c_c (csinh, minus_zero, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2161 TEST_c_c (csinh, plus_infty, 0.0, plus_infty, 0.0);
2162 TEST_c_c (csinh, minus_infty, 0.0, minus_infty, 0.0);
2163 TEST_c_c (csinh, plus_infty, minus_zero, plus_infty, minus_zero);
2164 TEST_c_c (csinh, minus_infty, minus_zero, minus_infty, minus_zero);
2166 TEST_c_c (csinh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2167 TEST_c_c (csinh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2168 TEST_c_c (csinh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2169 TEST_c_c (csinh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2171 TEST_c_c (csinh, plus_infty, 4.625, minus_infty, minus_infty);
2172 TEST_c_c (csinh, minus_infty, 4.625, plus_infty, minus_infty);
2173 TEST_c_c (csinh, plus_infty, -4.625, minus_infty, plus_infty);
2174 TEST_c_c (csinh, minus_infty, -4.625, plus_infty, plus_infty);
2176 TEST_c_c (csinh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2177 TEST_c_c (csinh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2178 TEST_c_c (csinh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2179 TEST_c_c (csinh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2181 TEST_c_c (csinh, 0.0, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN);
2182 TEST_c_c (csinh, minus_zero, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN);
2184 TEST_c_c (csinh, plus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
2185 TEST_c_c (csinh, minus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
2187 TEST_c_c (csinh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2188 TEST_c_c (csinh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2190 TEST_c_c (csinh, nan_value, 0.0, nan_value, 0.0);
2191 TEST_c_c (csinh, nan_value, minus_zero, nan_value, minus_zero);
2193 TEST_c_c (csinh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2194 TEST_c_c (csinh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2196 TEST_c_c (csinh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2197 TEST_c_c (csinh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2199 TEST_c_c (csinh, nan_value, nan_value, nan_value, nan_value);
2201 TEST_c_c (csinh, 0.75L, 1.25L, 0.259294854551162779153349830618433028L, 1.22863452409509552219214606515777594L);
2202 TEST_c_c (csinh, -2, -3, 3.59056458998577995201256544779481679L, -0.530921086248519805267040090660676560L);
2204 END (csinh, complex);
2212 FUNC(csqrt) (BUILD_COMPLEX (-1, 0));
2213 if (errno == ENOSYS)
2214 /* Function not implemented. */
2219 TEST_c_c (csqrt, 0, 0, 0.0, 0.0);
2220 TEST_c_c (csqrt, 0, minus_zero, 0, minus_zero);
2221 TEST_c_c (csqrt, minus_zero, 0, 0.0, 0.0);
2222 TEST_c_c (csqrt, minus_zero, minus_zero, 0.0, minus_zero);
2224 TEST_c_c (csqrt, minus_infty, 0, 0.0, plus_infty);
2225 TEST_c_c (csqrt, minus_infty, 6, 0.0, plus_infty);
2226 TEST_c_c (csqrt, minus_infty, minus_zero, 0.0, minus_infty);
2227 TEST_c_c (csqrt, minus_infty, -6, 0.0, minus_infty);
2229 TEST_c_c (csqrt, plus_infty, 0, plus_infty, 0.0);
2230 TEST_c_c (csqrt, plus_infty, 6, plus_infty, 0.0);
2231 TEST_c_c (csqrt, plus_infty, minus_zero, plus_infty, minus_zero);
2232 TEST_c_c (csqrt, plus_infty, -6, plus_infty, minus_zero);
2234 TEST_c_c (csqrt, 0, plus_infty, plus_infty, plus_infty);
2235 TEST_c_c (csqrt, 4, plus_infty, plus_infty, plus_infty);
2236 TEST_c_c (csqrt, plus_infty, plus_infty, plus_infty, plus_infty);
2237 TEST_c_c (csqrt, minus_zero, plus_infty, plus_infty, plus_infty);
2238 TEST_c_c (csqrt, -4, plus_infty, plus_infty, plus_infty);
2239 TEST_c_c (csqrt, minus_infty, plus_infty, plus_infty, plus_infty);
2240 TEST_c_c (csqrt, 0, minus_infty, plus_infty, minus_infty);
2241 TEST_c_c (csqrt, 4, minus_infty, plus_infty, minus_infty);
2242 TEST_c_c (csqrt, plus_infty, minus_infty, plus_infty, minus_infty);
2243 TEST_c_c (csqrt, minus_zero, minus_infty, plus_infty, minus_infty);
2244 TEST_c_c (csqrt, -4, minus_infty, plus_infty, minus_infty);
2245 TEST_c_c (csqrt, minus_infty, minus_infty, plus_infty, minus_infty);
2247 TEST_c_c (csqrt, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2249 TEST_c_c (csqrt, plus_infty, nan_value, plus_infty, nan_value);
2251 TEST_c_c (csqrt, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2252 TEST_c_c (csqrt, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2253 TEST_c_c (csqrt, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2254 TEST_c_c (csqrt, -1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2256 TEST_c_c (csqrt, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2257 TEST_c_c (csqrt, nan_value, 8, nan_value, nan_value, INVALID_EXCEPTION_OK);
2258 TEST_c_c (csqrt, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
2259 TEST_c_c (csqrt, nan_value, -8, nan_value, nan_value, INVALID_EXCEPTION_OK);
2261 TEST_c_c (csqrt, nan_value, nan_value, nan_value, nan_value);
2263 TEST_c_c (csqrt, 16.0, -30.0, 5.0, -3.0);
2264 TEST_c_c (csqrt, -1, 0, 0.0, 1.0);
2265 TEST_c_c (csqrt, 0, 2, 1.0, 1.0);
2266 TEST_c_c (csqrt, 119, 120, 12.0, 5.0);
2267 TEST_c_c (csqrt, 0.75L, 1.25L, 1.05065169626078392338656675760808326L, 0.594868882070379067881984030639932657L);
2268 TEST_c_c (csqrt, -2, -3, 0.89597747612983812471573375529004348L, -1.6741492280355400404480393008490519L);
2269 TEST_c_c (csqrt, -2, 3, 0.89597747612983812471573375529004348L, 1.6741492280355400404480393008490519L);
2270 /* Principal square root should be returned (i.e., non-negative real
2272 TEST_c_c (csqrt, 0, -1, M_SQRT_2_2, -M_SQRT_2_2);
2274 END (csqrt, complex);
2281 FUNC(ctan) (BUILD_COMPLEX (0.7L, 1.2L));
2282 if (errno == ENOSYS)
2283 /* Function not implemented. */
2288 TEST_c_c (ctan, 0, 0, 0.0, 0.0);
2289 TEST_c_c (ctan, 0, minus_zero, 0.0, minus_zero);
2290 TEST_c_c (ctan, minus_zero, 0, minus_zero, 0.0);
2291 TEST_c_c (ctan, minus_zero, minus_zero, minus_zero, minus_zero);
2293 TEST_c_c (ctan, 0, plus_infty, 0.0, 1.0);
2294 TEST_c_c (ctan, 1, plus_infty, 0.0, 1.0);
2295 TEST_c_c (ctan, minus_zero, plus_infty, minus_zero, 1.0);
2296 TEST_c_c (ctan, -1, plus_infty, minus_zero, 1.0);
2298 TEST_c_c (ctan, 0, minus_infty, 0.0, -1.0);
2299 TEST_c_c (ctan, 1, minus_infty, 0.0, -1.0);
2300 TEST_c_c (ctan, minus_zero, minus_infty, minus_zero, -1.0);
2301 TEST_c_c (ctan, -1, minus_infty, minus_zero, -1.0);
2303 TEST_c_c (ctan, plus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION);
2304 TEST_c_c (ctan, plus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION);
2305 TEST_c_c (ctan, minus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION);
2306 TEST_c_c (ctan, minus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION);
2307 TEST_c_c (ctan, plus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION);
2308 TEST_c_c (ctan, plus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION);
2309 TEST_c_c (ctan, minus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION);
2310 TEST_c_c (ctan, minus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION);
2312 TEST_c_c (ctan, nan_value, plus_infty, 0.0, 1.0, IGNORE_ZERO_INF_SIGN);
2313 TEST_c_c (ctan, nan_value, minus_infty, 0.0, -1.0, IGNORE_ZERO_INF_SIGN);
2315 TEST_c_c (ctan, 0, nan_value, 0.0, nan_value);
2316 TEST_c_c (ctan, minus_zero, nan_value, minus_zero, nan_value);
2318 TEST_c_c (ctan, 0.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2319 TEST_c_c (ctan, -4.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2321 TEST_c_c (ctan, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2322 TEST_c_c (ctan, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2323 TEST_c_c (ctan, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
2324 TEST_c_c (ctan, nan_value, -0.25, nan_value, nan_value, INVALID_EXCEPTION_OK);
2326 TEST_c_c (ctan, nan_value, nan_value, nan_value, nan_value);
2328 TEST_c_c (ctan, 0.75L, 1.25L, 0.160807785916206426725166058173438663L, 0.975363285031235646193581759755216379L);
2329 TEST_c_c (ctan, -2, -3, 0.376402564150424829275122113032269084e-2L, -1.00323862735360980144635859782192726L);
2331 END (ctan, complex);
2339 FUNC(ctanh) (BUILD_COMPLEX (0, 0));
2340 if (errno == ENOSYS)
2341 /* Function not implemented. */
2346 TEST_c_c (ctanh, 0, 0, 0.0, 0.0);
2347 TEST_c_c (ctanh, 0, minus_zero, 0.0, minus_zero);
2348 TEST_c_c (ctanh, minus_zero, 0, minus_zero, 0.0);
2349 TEST_c_c (ctanh, minus_zero, minus_zero, minus_zero, minus_zero);
2351 TEST_c_c (ctanh, plus_infty, 0, 1.0, 0.0);
2352 TEST_c_c (ctanh, plus_infty, 1, 1.0, 0.0);
2353 TEST_c_c (ctanh, plus_infty, minus_zero, 1.0, minus_zero);
2354 TEST_c_c (ctanh, plus_infty, -1, 1.0, minus_zero);
2355 TEST_c_c (ctanh, minus_infty, 0, -1.0, 0.0);
2356 TEST_c_c (ctanh, minus_infty, 1, -1.0, 0.0);
2357 TEST_c_c (ctanh, minus_infty, minus_zero, -1.0, minus_zero);
2358 TEST_c_c (ctanh, minus_infty, -1, -1.0, minus_zero);
2360 TEST_c_c (ctanh, 0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2361 TEST_c_c (ctanh, 2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2362 TEST_c_c (ctanh, 0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2363 TEST_c_c (ctanh, 2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2364 TEST_c_c (ctanh, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2365 TEST_c_c (ctanh, -2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2366 TEST_c_c (ctanh, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2367 TEST_c_c (ctanh, -2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2369 TEST_c_c (ctanh, plus_infty, nan_value, 1.0, 0.0, IGNORE_ZERO_INF_SIGN);
2370 TEST_c_c (ctanh, minus_infty, nan_value, -1.0, 0.0, IGNORE_ZERO_INF_SIGN);
2372 TEST_c_c (ctanh, nan_value, 0, nan_value, 0.0);
2373 TEST_c_c (ctanh, nan_value, minus_zero, nan_value, minus_zero);
2375 TEST_c_c (ctanh, nan_value, 0.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2376 TEST_c_c (ctanh, nan_value, -4.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2378 TEST_c_c (ctanh, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2379 TEST_c_c (ctanh, 5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2380 TEST_c_c (ctanh, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2381 TEST_c_c (ctanh, -0.25, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2383 TEST_c_c (ctanh, nan_value, nan_value, nan_value, nan_value);
2385 TEST_c_c (ctanh, 0, M_PI_4l, 0.0, 1.0);
2387 TEST_c_c (ctanh, 0.75L, 1.25L, 1.37260757053378320258048606571226857L, 0.385795952609750664177596760720790220L);
2388 TEST_c_c (ctanh, -2, -3, -0.965385879022133124278480269394560686L, 0.988437503832249372031403430350121098e-2L);
2390 END (ctanh, complex);
2400 if (errno == ENOSYS)
2401 /* Function not implemented. */
2406 TEST_f_f (erf, 0, 0);
2407 TEST_f_f (erf, minus_zero, minus_zero);
2408 TEST_f_f (erf, plus_infty, 1);
2409 TEST_f_f (erf, minus_infty, -1);
2410 TEST_f_f (erf, nan_value, nan_value);
2412 TEST_f_f (erf, 0.125L, 0.140316204801333817393029446521623398L);
2413 TEST_f_f (erf, 0.75L, 0.711155633653515131598937834591410777L);
2414 TEST_f_f (erf, 1.25L, 0.922900128256458230136523481197281140L);
2415 TEST_f_f (erf, 2.0L, 0.995322265018952734162069256367252929L);
2416 TEST_f_f (erf, 4.125L, 0.999999994576599200434933994687765914L);
2417 TEST_f_f (erf, 27.0L, 1.0L);
2428 if (errno == ENOSYS)
2429 /* Function not implemented. */
2434 TEST_f_f (erfc, plus_infty, 0.0);
2435 TEST_f_f (erfc, minus_infty, 2.0);
2436 TEST_f_f (erfc, 0.0, 1.0);
2437 TEST_f_f (erfc, minus_zero, 1.0);
2438 TEST_f_f (erfc, nan_value, nan_value);
2440 TEST_f_f (erfc, 0.125L, 0.859683795198666182606970553478376602L);
2441 TEST_f_f (erfc, 0.75L, 0.288844366346484868401062165408589223L);
2442 TEST_f_f (erfc, 1.25L, 0.0770998717435417698634765188027188596L);
2443 TEST_f_f (erfc, 2.0L, 0.00467773498104726583793074363274707139L);
2444 TEST_f_f (erfc, 4.125L, 0.542340079956506600531223408575531062e-8L);
2446 /* The result can only be represented in long double. */
2447 # if LDBL_MIN_10_EXP < -319
2448 TEST_f_f (erfc, 27.0L, 0.523704892378925568501606768284954709e-318L);
2461 if (errno == ENOSYS)
2462 /* Function not implemented. */
2467 TEST_f_f (exp, 0, 1);
2468 TEST_f_f (exp, minus_zero, 1);
2471 TEST_f_f (exp, plus_infty, plus_infty);
2472 TEST_f_f (exp, minus_infty, 0);
2474 TEST_f_f (exp, nan_value, nan_value);
2475 TEST_f_f (exp, 1, M_El);
2477 TEST_f_f (exp, 2, M_E2l);
2478 TEST_f_f (exp, 3, M_E3l);
2479 TEST_f_f (exp, 0.75L, 2.11700001661267466854536981983709561L);
2480 TEST_f_f (exp, 50.0L, 5184705528587072464087.45332293348538L);
2482 /* The result can only be represented in long double. */
2483 TEST_f_f (exp, 1000.0L, 0.197007111401704699388887935224332313e435L);
2496 if (errno == ENOSYS)
2497 /* Function not implemented. */
2502 TEST_f_f (exp10, 0, 1);
2503 TEST_f_f (exp10, minus_zero, 1);
2505 TEST_f_f (exp10, plus_infty, plus_infty);
2506 TEST_f_f (exp10, minus_infty, 0);
2507 TEST_f_f (exp10, nan_value, nan_value);
2508 TEST_f_f (exp10, 3, 1000);
2509 TEST_f_f (exp10, -1, 0.1L);
2510 TEST_f_f (exp10, 1e6, plus_infty);
2511 TEST_f_f (exp10, -1e6, 0);
2512 TEST_f_f (exp10, 0.75L, 5.62341325190349080394951039776481231L);
2523 if (errno == ENOSYS)
2524 /* Function not implemented. */
2529 TEST_f_f (exp2, 0, 1);
2530 TEST_f_f (exp2, minus_zero, 1);
2531 TEST_f_f (exp2, plus_infty, plus_infty);
2532 TEST_f_f (exp2, minus_infty, 0);
2533 TEST_f_f (exp2, nan_value, nan_value);
2535 TEST_f_f (exp2, 10, 1024);
2536 TEST_f_f (exp2, -1, 0.5);
2537 TEST_f_f (exp2, 1e6, plus_infty);
2538 TEST_f_f (exp2, -1e6, 0);
2539 TEST_f_f (exp2, 0.75L, 1.68179283050742908606225095246642979L);
2551 if (errno == ENOSYS)
2552 /* Function not implemented. */
2557 TEST_f_f (expm1, 0, 0);
2558 TEST_f_f (expm1, minus_zero, minus_zero);
2561 TEST_f_f (expm1, plus_infty, plus_infty);
2562 TEST_f_f (expm1, minus_infty, -1);
2564 TEST_f_f (expm1, nan_value, nan_value);
2566 TEST_f_f (expm1, 1, M_El - 1.0);
2567 TEST_f_f (expm1, 0.75L, 1.11700001661267466854536981983709561L);
2578 TEST_f_f (fabs, 0, 0);
2579 TEST_f_f (fabs, minus_zero, 0);
2581 TEST_f_f (fabs, plus_infty, plus_infty);
2582 TEST_f_f (fabs, minus_infty, plus_infty);
2583 TEST_f_f (fabs, nan_value, nan_value);
2585 TEST_f_f (fabs, 38.0, 38.0);
2586 TEST_f_f (fabs, -M_El, M_El);
2598 TEST_ff_f (fdim, 0, 0, 0);
2599 TEST_ff_f (fdim, 9, 0, 9);
2600 TEST_ff_f (fdim, 0, 9, 0);
2601 TEST_ff_f (fdim, -9, 0, 0);
2602 TEST_ff_f (fdim, 0, -9, 9);
2604 TEST_ff_f (fdim, plus_infty, 9, plus_infty);
2605 TEST_ff_f (fdim, plus_infty, -9, plus_infty);
2606 TEST_ff_f (fdim, minus_infty, 9, 0);
2607 TEST_ff_f (fdim, minus_infty, -9, 0);
2608 TEST_ff_f (fdim, 9, minus_infty, plus_infty);
2609 TEST_ff_f (fdim, -9, minus_infty, plus_infty);
2610 TEST_ff_f (fdim, 9, plus_infty, 0);
2611 TEST_ff_f (fdim, -9, plus_infty, 0);
2613 TEST_ff_f (fdim, 0, nan_value, nan_value);
2614 TEST_ff_f (fdim, 9, nan_value, nan_value);
2615 TEST_ff_f (fdim, -9, nan_value, nan_value);
2616 TEST_ff_f (fdim, nan_value, 9, nan_value);
2617 TEST_ff_f (fdim, nan_value, -9, nan_value);
2618 TEST_ff_f (fdim, plus_infty, nan_value, nan_value);
2619 TEST_ff_f (fdim, minus_infty, nan_value, nan_value);
2620 TEST_ff_f (fdim, nan_value, plus_infty, nan_value);
2621 TEST_ff_f (fdim, nan_value, minus_infty, nan_value);
2622 TEST_ff_f (fdim, nan_value, nan_value, nan_value);
2624 TEST_ff_f (fdim, plus_infty, plus_infty, 0);
2636 TEST_f_f (floor, 0.0, 0.0);
2637 TEST_f_f (floor, minus_zero, minus_zero);
2638 TEST_f_f (floor, plus_infty, plus_infty);
2639 TEST_f_f (floor, minus_infty, minus_infty);
2640 TEST_f_f (floor, nan_value, nan_value);
2642 TEST_f_f (floor, M_PIl, 3.0);
2643 TEST_f_f (floor, -M_PIl, -4.0);
2645 TEST_f_f (floor, 0.25, 0.0);
2646 TEST_f_f (floor, -0.25, -1.0);
2650 /* The result can only be represented in long double. */
2651 TEST_f_f (floor, 4503599627370495.5L, 4503599627370495.0L);
2652 TEST_f_f (floor, 4503599627370496.25L, 4503599627370496.0L);
2653 TEST_f_f (floor, 4503599627370496.5L, 4503599627370496.0L);
2654 TEST_f_f (floor, 4503599627370496.75L, 4503599627370496.0L);
2655 TEST_f_f (floor, 4503599627370497.5L, 4503599627370497.0L);
2657 TEST_f_f (floor, -4503599627370495.5L, -4503599627370496.0L);
2658 TEST_f_f (floor, -4503599627370496.25L, -4503599627370497.0L);
2659 TEST_f_f (floor, -4503599627370496.5L, -4503599627370497.0L);
2660 TEST_f_f (floor, -4503599627370496.75L, -4503599627370497.0L);
2661 TEST_f_f (floor, -4503599627370497.5L, -4503599627370498.0L);
2663 TEST_f_f (floor, 9007199254740991.5L, 9007199254740991.0L);
2664 TEST_f_f (floor, 9007199254740992.25L, 9007199254740992.0L);
2665 TEST_f_f (floor, 9007199254740992.5L, 9007199254740992.0L);
2666 TEST_f_f (floor, 9007199254740992.75L, 9007199254740992.0L);
2667 TEST_f_f (floor, 9007199254740993.5L, 9007199254740993.0L);
2669 TEST_f_f (floor, -9007199254740991.5L, -9007199254740992.0L);
2670 TEST_f_f (floor, -9007199254740992.25L, -9007199254740993.0L);
2671 TEST_f_f (floor, -9007199254740992.5L, -9007199254740993.0L);
2672 TEST_f_f (floor, -9007199254740992.75L, -9007199254740993.0L);
2673 TEST_f_f (floor, -9007199254740993.5L, -9007199254740994.0L);
2675 TEST_f_f (floor, 72057594037927935.5L, 72057594037927935.0L);
2676 TEST_f_f (floor, 72057594037927936.25L, 72057594037927936.0L);
2677 TEST_f_f (floor, 72057594037927936.5L, 72057594037927936.0L);
2678 TEST_f_f (floor, 72057594037927936.75L, 72057594037927936.0L);
2679 TEST_f_f (floor, 72057594037927937.5L, 72057594037927937.0L);
2681 TEST_f_f (floor, -72057594037927935.5L, -72057594037927936.0L);
2682 TEST_f_f (floor, -72057594037927936.25L, -72057594037927937.0L);
2683 TEST_f_f (floor, -72057594037927936.5L, -72057594037927937.0L);
2684 TEST_f_f (floor, -72057594037927936.75L, -72057594037927937.0L);
2685 TEST_f_f (floor, -72057594037927937.5L, -72057594037927938.0L);
2687 TEST_f_f (floor, 10141204801825835211973625643007.5L, 10141204801825835211973625643007.0L);
2688 TEST_f_f (floor, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
2689 TEST_f_f (floor, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
2690 TEST_f_f (floor, 10141204801825835211973625643008.75L, 10141204801825835211973625643008.0L);
2691 TEST_f_f (floor, 10141204801825835211973625643009.5L, 10141204801825835211973625643009.0L);
2704 TEST_fff_f (fma, 1.0, 2.0, 3.0, 5.0);
2705 TEST_fff_f (fma, nan_value, 2.0, 3.0, nan_value);
2706 TEST_fff_f (fma, 1.0, nan_value, 3.0, nan_value);
2707 TEST_fff_f (fma, 1.0, 2.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2708 TEST_fff_f (fma, plus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2709 TEST_fff_f (fma, minus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2710 TEST_fff_f (fma, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2711 TEST_fff_f (fma, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2712 TEST_fff_f (fma, plus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION);
2713 TEST_fff_f (fma, minus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION);
2714 TEST_fff_f (fma, 0.0, plus_infty, 1.0, nan_value, INVALID_EXCEPTION);
2715 TEST_fff_f (fma, 0.0, minus_infty, 1.0, nan_value, INVALID_EXCEPTION);
2717 TEST_fff_f (fma, plus_infty, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
2718 TEST_fff_f (fma, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
2719 TEST_fff_f (fma, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
2720 TEST_fff_f (fma, minus_infty, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
2722 TEST_fff_f (fma, 1.25L, 0.75L, 0.0625L, 1.0L);
2733 TEST_ff_f (fmax, 0, 0, 0);
2734 TEST_ff_f (fmax, minus_zero, minus_zero, minus_zero);
2735 TEST_ff_f (fmax, 9, 0, 9);
2736 TEST_ff_f (fmax, 0, 9, 9);
2737 TEST_ff_f (fmax, -9, 0, 0);
2738 TEST_ff_f (fmax, 0, -9, 0);
2740 TEST_ff_f (fmax, plus_infty, 9, plus_infty);
2741 TEST_ff_f (fmax, 0, plus_infty, plus_infty);
2742 TEST_ff_f (fmax, -9, plus_infty, plus_infty);
2743 TEST_ff_f (fmax, plus_infty, -9, plus_infty);
2745 TEST_ff_f (fmax, minus_infty, 9, 9);
2746 TEST_ff_f (fmax, minus_infty, -9, -9);
2747 TEST_ff_f (fmax, 9, minus_infty, 9);
2748 TEST_ff_f (fmax, -9, minus_infty, -9);
2750 TEST_ff_f (fmax, 0, nan_value, 0);
2751 TEST_ff_f (fmax, 9, nan_value, 9);
2752 TEST_ff_f (fmax, -9, nan_value, -9);
2753 TEST_ff_f (fmax, nan_value, 0, 0);
2754 TEST_ff_f (fmax, nan_value, 9, 9);
2755 TEST_ff_f (fmax, nan_value, -9, -9);
2756 TEST_ff_f (fmax, plus_infty, nan_value, plus_infty);
2757 TEST_ff_f (fmax, minus_infty, nan_value, minus_infty);
2758 TEST_ff_f (fmax, nan_value, plus_infty, plus_infty);
2759 TEST_ff_f (fmax, nan_value, minus_infty, minus_infty);
2760 TEST_ff_f (fmax, nan_value, nan_value, nan_value);
2771 TEST_ff_f (fmin, 0, 0, 0);
2772 TEST_ff_f (fmin, minus_zero, minus_zero, minus_zero);
2773 TEST_ff_f (fmin, 9, 0, 0);
2774 TEST_ff_f (fmin, 0, 9, 0);
2775 TEST_ff_f (fmin, -9, 0, -9);
2776 TEST_ff_f (fmin, 0, -9, -9);
2778 TEST_ff_f (fmin, plus_infty, 9, 9);
2779 TEST_ff_f (fmin, 9, plus_infty, 9);
2780 TEST_ff_f (fmin, plus_infty, -9, -9);
2781 TEST_ff_f (fmin, -9, plus_infty, -9);
2782 TEST_ff_f (fmin, minus_infty, 9, minus_infty);
2783 TEST_ff_f (fmin, minus_infty, -9, minus_infty);
2784 TEST_ff_f (fmin, 9, minus_infty, minus_infty);
2785 TEST_ff_f (fmin, -9, minus_infty, minus_infty);
2787 TEST_ff_f (fmin, 0, nan_value, 0);
2788 TEST_ff_f (fmin, 9, nan_value, 9);
2789 TEST_ff_f (fmin, -9, nan_value, -9);
2790 TEST_ff_f (fmin, nan_value, 0, 0);
2791 TEST_ff_f (fmin, nan_value, 9, 9);
2792 TEST_ff_f (fmin, nan_value, -9, -9);
2793 TEST_ff_f (fmin, plus_infty, nan_value, plus_infty);
2794 TEST_ff_f (fmin, minus_infty, nan_value, minus_infty);
2795 TEST_ff_f (fmin, nan_value, plus_infty, plus_infty);
2796 TEST_ff_f (fmin, nan_value, minus_infty, minus_infty);
2797 TEST_ff_f (fmin, nan_value, nan_value, nan_value);
2808 FUNC(fmod) (6.5, 2.3L);
2809 if (errno == ENOSYS)
2810 /* Function not implemented. */
2815 /* fmod (+0, y) == +0 for y != 0. */
2816 TEST_ff_f (fmod, 0, 3, 0);
2818 /* fmod (-0, y) == -0 for y != 0. */
2819 TEST_ff_f (fmod, minus_zero, 3, minus_zero);
2821 /* fmod (+inf, y) == NaN plus invalid exception. */
2822 TEST_ff_f (fmod, plus_infty, 3, nan_value, INVALID_EXCEPTION);
2823 /* fmod (-inf, y) == NaN plus invalid exception. */
2824 TEST_ff_f (fmod, minus_infty, 3, nan_value, INVALID_EXCEPTION);
2825 /* fmod (x, +0) == NaN plus invalid exception. */
2826 TEST_ff_f (fmod, 3, 0, nan_value, INVALID_EXCEPTION);
2827 /* fmod (x, -0) == NaN plus invalid exception. */
2828 TEST_ff_f (fmod, 3, minus_zero, nan_value, INVALID_EXCEPTION);
2830 /* fmod (x, +inf) == x for x not infinite. */
2831 TEST_ff_f (fmod, 3.0, plus_infty, 3.0);
2832 /* fmod (x, -inf) == x for x not infinite. */
2833 TEST_ff_f (fmod, 3.0, minus_infty, 3.0);
2835 TEST_ff_f (fmod, nan_value, nan_value, nan_value);
2837 TEST_ff_f (fmod, 6.5, 2.25L, 2.0L);
2838 TEST_ff_f (fmod, -6.5, 2.25L, -2.0L);
2839 TEST_ff_f (fmod, 6.5, -2.25L, 2.0L);
2840 TEST_ff_f (fmod, -6.5, -2.25L, -2.0L);
2847 fpclassify_test (void)
2851 TEST_f_i (fpclassify, nan_value, FP_NAN);
2852 TEST_f_i (fpclassify, plus_infty, FP_INFINITE);
2853 TEST_f_i (fpclassify, minus_infty, FP_INFINITE);
2854 TEST_f_i (fpclassify, plus_zero, FP_ZERO);
2855 TEST_f_i (fpclassify, minus_zero, FP_ZERO);
2856 TEST_f_i (fpclassify, 1000, FP_NORMAL);
2869 TEST_fI_f1 (frexp, plus_infty, plus_infty, IGNORE);
2870 TEST_fI_f1 (frexp, minus_infty, minus_infty, IGNORE);
2871 TEST_fI_f1 (frexp, nan_value, nan_value, IGNORE);
2873 TEST_fI_f1 (frexp, 0.0, 0.0, 0.0);
2874 TEST_fI_f1 (frexp, minus_zero, minus_zero, 0.0);
2876 TEST_fI_f1 (frexp, 12.8L, 0.8L, 4);
2877 TEST_fI_f1 (frexp, -27.34L, -0.854375L, 5);
2889 if (errno == ENOSYS)
2890 /* Function not implemented. */
2892 feclearexcept (FE_ALL_EXCEPT);
2896 TEST_f_f (gamma, plus_infty, plus_infty);
2897 TEST_f_f (gamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
2898 TEST_f_f (gamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
2899 TEST_f_f (gamma, minus_infty, plus_infty);
2900 TEST_f_f (gamma, nan_value, nan_value);
2902 TEST_f_f1 (gamma, 1, 0, 1);
2903 TEST_f_f1 (gamma, 3, M_LN2l, 1);
2905 TEST_f_f1 (gamma, 0.5, M_LOG_SQRT_PIl, 1);
2906 TEST_f_f1 (gamma, -0.5, M_LOG_2_SQRT_PIl, -1);
2915 FUNC(hypot) (0.7L, 12.4L);
2916 if (errno == ENOSYS)
2917 /* Function not implemented. */
2922 TEST_ff_f (hypot, plus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN);
2923 TEST_ff_f (hypot, minus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN);
2926 TEST_ff_f (hypot, plus_infty, nan_value, plus_infty);
2927 TEST_ff_f (hypot, minus_infty, nan_value, plus_infty);
2928 TEST_ff_f (hypot, nan_value, plus_infty, plus_infty);
2929 TEST_ff_f (hypot, nan_value, minus_infty, plus_infty);
2932 TEST_ff_f (hypot, nan_value, nan_value, nan_value);
2934 /* hypot (x,y) == hypot (+-x, +-y) */
2935 TEST_ff_f (hypot, 0.7L, 12.4L, 12.419742348374220601176836866763271L);
2936 TEST_ff_f (hypot, -0.7L, 12.4L, 12.419742348374220601176836866763271L);
2937 TEST_ff_f (hypot, 0.7L, -12.4L, 12.419742348374220601176836866763271L);
2938 TEST_ff_f (hypot, -0.7L, -12.4L, 12.419742348374220601176836866763271L);
2939 TEST_ff_f (hypot, 12.4L, 0.7L, 12.419742348374220601176836866763271L);
2940 TEST_ff_f (hypot, -12.4L, 0.7L, 12.419742348374220601176836866763271L);
2941 TEST_ff_f (hypot, 12.4L, -0.7L, 12.419742348374220601176836866763271L);
2942 TEST_ff_f (hypot, -12.4L, -0.7L, 12.419742348374220601176836866763271L);
2944 /* hypot (x,0) == fabs (x) */
2945 TEST_ff_f (hypot, 0.75L, 0, 0.75L);
2946 TEST_ff_f (hypot, -0.75L, 0, 0.75L);
2947 TEST_ff_f (hypot, -5.7e7, 0, 5.7e7L);
2949 TEST_ff_f (hypot, 0.75L, 1.25L, 1.45773797371132511771853821938639577L);
2960 TEST_f_i (ilogb, 1, 0);
2961 TEST_f_i (ilogb, M_El, 1);
2962 TEST_f_i (ilogb, 1024, 10);
2963 TEST_f_i (ilogb, -2000, 10);
2965 /* XXX We have a problem here: the standard does not tell us whether
2966 exceptions are allowed/required. ignore them for now. */
2968 TEST_f_i (ilogb, 0.0, FP_ILOGB0, EXCEPTIONS_OK);
2969 TEST_f_i (ilogb, nan_value, FP_ILOGBNAN, EXCEPTIONS_OK);
2970 TEST_f_i (ilogb, plus_infty, INT_MAX, EXCEPTIONS_OK);
2971 TEST_f_i (ilogb, minus_infty, INT_MAX, EXCEPTIONS_OK);
2977 isfinite_test (void)
2981 TEST_f_b (isfinite, 0, 1);
2982 TEST_f_b (isfinite, minus_zero, 1);
2983 TEST_f_b (isfinite, 10, 1);
2984 TEST_f_b (isfinite, plus_infty, 0);
2985 TEST_f_b (isfinite, minus_infty, 0);
2986 TEST_f_b (isfinite, nan_value, 0);
2992 isnormal_test (void)
2996 TEST_f_b (isnormal, 0, 0);
2997 TEST_f_b (isnormal, minus_zero, 0);
2998 TEST_f_b (isnormal, 10, 1);
2999 TEST_f_b (isnormal, plus_infty, 0);
3000 TEST_f_b (isnormal, minus_infty, 0);
3001 TEST_f_b (isnormal, nan_value, 0);
3012 FUNC (sincos) (0, &s, &c);
3013 if (errno == ENOSYS)
3014 /* Required function not implemented. */
3018 if (errno == ENOSYS)
3019 /* Function not implemented. */
3024 /* j0 is the Bessel function of the first kind of order 0 */
3025 TEST_f_f (j0, nan_value, nan_value);
3026 TEST_f_f (j0, plus_infty, 0);
3027 TEST_f_f (j0, -1.0, 0.765197686557966551449717526102663221L);
3028 TEST_f_f (j0, 0.0, 1.0);
3029 TEST_f_f (j0, 0.125L, 0.996097563041985204620768999453174712L);
3030 TEST_f_f (j0, 0.75L, 0.864242275166648623555731103820923211L);
3031 TEST_f_f (j0, 1.0, 0.765197686557966551449717526102663221L);
3032 TEST_f_f (j0, 1.5, 0.511827671735918128749051744283411720L);
3033 TEST_f_f (j0, 2.0, 0.223890779141235668051827454649948626L);
3034 TEST_f_f (j0, 8.0, 0.171650807137553906090869407851972001L);
3035 TEST_f_f (j0, 10.0, -0.245935764451348335197760862485328754L);
3036 TEST_f_f (j0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
3037 TEST_f_f (j0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
3049 FUNC (sincos) (0, &s, &c);
3050 if (errno == ENOSYS)
3051 /* Required function not implemented. */
3055 if (errno == ENOSYS)
3056 /* Function not implemented. */
3059 /* j1 is the Bessel function of the first kind of order 1 */
3063 TEST_f_f (j1, nan_value, nan_value);
3064 TEST_f_f (j1, plus_infty, 0);
3066 TEST_f_f (j1, -1.0, -0.440050585744933515959682203718914913L);
3067 TEST_f_f (j1, 0.0, 0.0);
3068 TEST_f_f (j1, 0.125L, 0.0623780091344946810942311355879361177L);
3069 TEST_f_f (j1, 0.75L, 0.349243602174862192523281016426251335L);
3070 TEST_f_f (j1, 1.0, 0.440050585744933515959682203718914913L);
3071 TEST_f_f (j1, 1.5, 0.557936507910099641990121213156089400L);
3072 TEST_f_f (j1, 2.0, 0.576724807756873387202448242269137087L);
3073 TEST_f_f (j1, 8.0, 0.234636346853914624381276651590454612L);
3074 TEST_f_f (j1, 10.0, 0.0434727461688614366697487680258592883L);
3085 FUNC (sincos) (0, &s, &c);
3086 if (errno == ENOSYS)
3087 /* Required function not implemented. */
3091 if (errno == ENOSYS)
3092 /* Function not implemented. */
3095 /* jn is the Bessel function of the first kind of order n. */
3098 /* jn (0, x) == j0 (x) */
3099 TEST_ff_f (jn, 0, nan_value, nan_value);
3100 TEST_ff_f (jn, 0, plus_infty, 0);
3101 TEST_ff_f (jn, 0, -1.0, 0.765197686557966551449717526102663221L);
3102 TEST_ff_f (jn, 0, 0.0, 1.0);
3103 TEST_ff_f (jn, 0, 0.125L, 0.996097563041985204620768999453174712L);
3104 TEST_ff_f (jn, 0, 0.75L, 0.864242275166648623555731103820923211L);
3105 TEST_ff_f (jn, 0, 1.0, 0.765197686557966551449717526102663221L);
3106 TEST_ff_f (jn, 0, 1.5, 0.511827671735918128749051744283411720L);
3107 TEST_ff_f (jn, 0, 2.0, 0.223890779141235668051827454649948626L);
3108 TEST_ff_f (jn, 0, 8.0, 0.171650807137553906090869407851972001L);
3109 TEST_ff_f (jn, 0, 10.0, -0.245935764451348335197760862485328754L);
3110 TEST_ff_f (jn, 0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
3111 TEST_ff_f (jn, 0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
3113 /* jn (1, x) == j1 (x) */
3114 TEST_ff_f (jn, 1, nan_value, nan_value);
3115 TEST_ff_f (jn, 1, plus_infty, 0);
3116 TEST_ff_f (jn, 1, -1.0, -0.440050585744933515959682203718914913L);
3117 TEST_ff_f (jn, 1, 0.0, 0.0);
3118 TEST_ff_f (jn, 1, 0.125L, 0.0623780091344946810942311355879361177L);
3119 TEST_ff_f (jn, 1, 0.75L, 0.349243602174862192523281016426251335L);
3120 TEST_ff_f (jn, 1, 1.0, 0.440050585744933515959682203718914913L);
3121 TEST_ff_f (jn, 1, 1.5, 0.557936507910099641990121213156089400L);
3122 TEST_ff_f (jn, 1, 2.0, 0.576724807756873387202448242269137087L);
3123 TEST_ff_f (jn, 1, 8.0, 0.234636346853914624381276651590454612L);
3124 TEST_ff_f (jn, 1, 10.0, 0.0434727461688614366697487680258592883L);
3127 TEST_ff_f (jn, 3, nan_value, nan_value);
3128 TEST_ff_f (jn, 3, plus_infty, 0);
3130 TEST_ff_f (jn, 3, -1.0, -0.0195633539826684059189053216217515083L);
3131 TEST_ff_f (jn, 3, 0.0, 0.0);
3132 TEST_ff_f (jn, 3, 0.125L, 0.406503832554912875023029337653442868e-4L);
3133 TEST_ff_f (jn, 3, 0.75L, 0.848438342327410884392755236884386804e-2L);
3134 TEST_ff_f (jn, 3, 1.0, 0.0195633539826684059189053216217515083L);
3135 TEST_ff_f (jn, 3, 2.0, 0.128943249474402051098793332969239835L);
3136 TEST_ff_f (jn, 3, 10.0, 0.0583793793051868123429354784103409563L);
3139 TEST_ff_f (jn, 10, nan_value, nan_value);
3140 TEST_ff_f (jn, 10, plus_infty, 0);
3142 TEST_ff_f (jn, 10, -1.0, 0.263061512368745320699785368779050294e-9L);
3143 TEST_ff_f (jn, 10, 0.0, 0.0);
3144 TEST_ff_f (jn, 10, 0.125L, 0.250543369809369890173993791865771547e-18L);
3145 TEST_ff_f (jn, 10, 0.75L, 0.149621713117596814698712483621682835e-10L);
3146 TEST_ff_f (jn, 10, 1.0, 0.263061512368745320699785368779050294e-9L);
3147 TEST_ff_f (jn, 10, 2.0, 0.251538628271673670963516093751820639e-6L);
3148 TEST_ff_f (jn, 10, 10.0, 0.207486106633358857697278723518753428L);
3157 TEST_ff_f (ldexp, 0, 0, 0);
3158 TEST_ff_f (ldexp, minus_zero, 0, minus_zero);
3160 TEST_ff_f (ldexp, plus_infty, 1, plus_infty);
3161 TEST_ff_f (ldexp, minus_infty, 1, minus_infty);
3162 TEST_ff_f (ldexp, nan_value, 1, nan_value);
3164 TEST_ff_f (ldexp, 0.8L, 4, 12.8L);
3165 TEST_ff_f (ldexp, -0.854375L, 5, -27.34L);
3167 /* ldexp (x, 0) == x. */
3168 TEST_ff_f (ldexp, 1.0L, 0L, 1.0L);
3177 if (errno == ENOSYS)
3178 /* Function not implemented. */
3180 feclearexcept (FE_ALL_EXCEPT);
3184 TEST_f_f (lgamma, plus_infty, plus_infty);
3185 TEST_f_f (lgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3186 TEST_f_f (lgamma, nan_value, nan_value);
3188 /* lgamma (x) == +inf plus divide by zero exception for integer x <= 0. */
3189 TEST_f_f (lgamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3190 TEST_f_f (lgamma, minus_infty, plus_infty);
3192 TEST_f_f1 (lgamma, 1, 0, 1);
3194 TEST_f_f1 (lgamma, 3, M_LN2l, 1);
3196 TEST_f_f1 (lgamma, 0.5, M_LOG_SQRT_PIl, 1);
3197 TEST_f_f1 (lgamma, -0.5, M_LOG_2_SQRT_PIl, -1);
3198 TEST_f_f1 (lgamma, 0.7L, 0.260867246531666514385732417016759578L, 1);
3199 TEST_f_f1 (lgamma, 1.2L, -0.853740900033158497197028392998854470e-1L, 1);
3209 /* XXX this test is incomplete. We need to have a way to specifiy
3210 the rounding method and test the critical cases. So far, only
3211 unproblematic numbers are tested. */
3215 TEST_f_l (lrint, 0.0, 0);
3216 TEST_f_l (lrint, minus_zero, 0);
3217 TEST_f_l (lrint, 0.2L, 0);
3218 TEST_f_l (lrint, -0.2L, 0);
3220 TEST_f_l (lrint, 1.4L, 1);
3221 TEST_f_l (lrint, -1.4L, -1);
3223 TEST_f_l (lrint, 8388600.3L, 8388600);
3224 TEST_f_l (lrint, -8388600.3L, -8388600);
3226 TEST_f_l (lrint, 1071930.0008, 1071930);
3228 TEST_f_l (lrint, 1073741824.01, 1073741824);
3229 # if LONG_MAX > 281474976710656
3230 TEST_f_l (lrint, 281474976710656.025, 281474976710656);
3241 /* XXX this test is incomplete. We need to have a way to specifiy
3242 the rounding method and test the critical cases. So far, only
3243 unproblematic numbers are tested. */
3247 TEST_f_L (llrint, 0.0, 0);
3248 TEST_f_L (llrint, minus_zero, 0);
3249 TEST_f_L (llrint, 0.2L, 0);
3250 TEST_f_L (llrint, -0.2L, 0);
3252 TEST_f_L (llrint, 1.4L, 1);
3253 TEST_f_L (llrint, -1.4L, -1);
3255 TEST_f_L (llrint, 8388600.3L, 8388600);
3256 TEST_f_L (llrint, -8388600.3L, -8388600);
3258 TEST_f_l (llrint, 1071930.0008, 1071930);
3260 /* Test boundary conditions. */
3262 TEST_f_L (llrint, 2097151.0,2097151LL);
3264 TEST_f_L (llrint, 8388608.0, 8388608LL);
3266 TEST_f_L (llrint, 16777216.0, 16777216LL);
3268 TEST_f_L (llrint, 2199023255552.0, 2199023255552LL);
3270 TEST_f_L (llrint, 4398046511104.0, 4398046511104LL);
3271 /* 0x1000000000000 */
3272 TEST_f_L (llrint, 281474976710656.0, 281474976710656LL);
3273 /* 0x10000000000000 */
3274 TEST_f_L (llrint, 4503599627370496.0, 4503599627370496LL);
3275 /* 0x10000080000000 */
3276 TEST_f_L (llrint, 4503601774854144.0, 4503601774854144LL);
3277 /* 0x20000000000000 */
3278 TEST_f_L (llrint, 9007199254740992.0, 9007199254740992LL);
3279 /* 0x80000000000000 */
3280 TEST_f_L (llrint, 36028797018963968.0, 36028797018963968LL);
3281 /* 0x100000000000000 */
3282 TEST_f_L (llrint, 72057594037927936.0, 72057594037927936LL);
3284 /* The input can only be represented in long double. */
3285 TEST_f_L (llrint, 4503599627370495.5L, 4503599627370496LL);
3286 TEST_f_L (llrint, 4503599627370496.25L, 4503599627370496LL);
3287 TEST_f_L (llrint, 4503599627370496.5L, 4503599627370496LL);
3288 TEST_f_L (llrint, 4503599627370496.75L, 4503599627370497LL);
3289 TEST_f_L (llrint, 4503599627370497.5L, 4503599627370498LL);
3291 TEST_f_L (llrint, -4503599627370495.5L, -4503599627370496LL);
3292 TEST_f_L (llrint, -4503599627370496.25L, -4503599627370496LL);
3293 TEST_f_L (llrint, -4503599627370496.5L, -4503599627370496LL);
3294 TEST_f_L (llrint, -4503599627370496.75L, -4503599627370497LL);
3295 TEST_f_L (llrint, -4503599627370497.5L, -4503599627370498LL);
3297 TEST_f_L (llrint, 9007199254740991.5L, 9007199254740992LL);
3298 TEST_f_L (llrint, 9007199254740992.25L, 9007199254740992LL);
3299 TEST_f_L (llrint, 9007199254740992.5L, 9007199254740992LL);
3300 TEST_f_L (llrint, 9007199254740992.75L, 9007199254740993LL);
3301 TEST_f_L (llrint, 9007199254740993.5L, 9007199254740994LL);
3303 TEST_f_L (llrint, -9007199254740991.5L, -9007199254740992LL);
3304 TEST_f_L (llrint, -9007199254740992.25L, -9007199254740992LL);
3305 TEST_f_L (llrint, -9007199254740992.5L, -9007199254740992LL);
3306 TEST_f_L (llrint, -9007199254740992.75L, -9007199254740993LL);
3307 TEST_f_L (llrint, -9007199254740993.5L, -9007199254740994LL);
3309 TEST_f_L (llrint, 72057594037927935.5L, 72057594037927936LL);
3310 TEST_f_L (llrint, 72057594037927936.25L, 72057594037927936LL);
3311 TEST_f_L (llrint, 72057594037927936.5L, 72057594037927936LL);
3312 TEST_f_L (llrint, 72057594037927936.75L, 72057594037927937LL);
3313 TEST_f_L (llrint, 72057594037927937.5L, 72057594037927938LL);
3315 TEST_f_L (llrint, -72057594037927935.5L, -72057594037927936LL);
3316 TEST_f_L (llrint, -72057594037927936.25L, -72057594037927936LL);
3317 TEST_f_L (llrint, -72057594037927936.5L, -72057594037927936LL);
3318 TEST_f_L (llrint, -72057594037927936.75L, -72057594037927937LL);
3319 TEST_f_L (llrint, -72057594037927937.5L, -72057594037927938LL);
3332 if (errno == ENOSYS)
3333 /* Function not implemented. */
3337 TEST_f_f (log, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3338 TEST_f_f (log, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3340 TEST_f_f (log, 1, 0);
3342 TEST_f_f (log, -1, nan_value, INVALID_EXCEPTION);
3343 TEST_f_f (log, plus_infty, plus_infty);
3345 TEST_f_f (log, M_El, 1);
3346 TEST_f_f (log, 1.0 / M_El, -1);
3347 TEST_f_f (log, 2, M_LN2l);
3348 TEST_f_f (log, 10, M_LN10l);
3349 TEST_f_f (log, 0.75L, -0.287682072451780927439219005993827432L);
3360 if (errno == ENOSYS)
3361 /* Function not implemented. */
3366 TEST_f_f (log10, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3367 TEST_f_f (log10, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3369 TEST_f_f (log10, 1, 0);
3371 /* log10 (x) == NaN plus invalid exception if x < 0. */
3372 TEST_f_f (log10, -1, nan_value, INVALID_EXCEPTION);
3374 TEST_f_f (log10, plus_infty, plus_infty);
3375 TEST_f_f (log10, nan_value, nan_value);
3377 TEST_f_f (log10, 0.1L, -1);
3378 TEST_f_f (log10, 10.0, 1);
3379 TEST_f_f (log10, 100.0, 2);
3380 TEST_f_f (log10, 10000.0, 4);
3381 TEST_f_f (log10, M_El, M_LOG10El);
3382 TEST_f_f (log10, 0.75L, -0.124938736608299953132449886193870744L);
3393 if (errno == ENOSYS)
3394 /* Function not implemented. */
3399 TEST_f_f (log1p, 0, 0);
3400 TEST_f_f (log1p, minus_zero, minus_zero);
3402 TEST_f_f (log1p, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3403 TEST_f_f (log1p, -2, nan_value, INVALID_EXCEPTION);
3405 TEST_f_f (log1p, plus_infty, plus_infty);
3406 TEST_f_f (log1p, nan_value, nan_value);
3408 TEST_f_f (log1p, M_El - 1.0, 1);
3410 TEST_f_f (log1p, -0.25L, -0.287682072451780927439219005993827432L);
3411 TEST_f_f (log1p, -0.875, -2.07944154167983592825169636437452970L);
3423 if (errno == ENOSYS)
3424 /* Function not implemented. */
3429 TEST_f_f (log2, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3430 TEST_f_f (log2, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3432 TEST_f_f (log2, 1, 0);
3434 TEST_f_f (log2, -1, nan_value, INVALID_EXCEPTION);
3436 TEST_f_f (log2, plus_infty, plus_infty);
3437 TEST_f_f (log2, nan_value, nan_value);
3439 TEST_f_f (log2, M_El, M_LOG2El);
3440 TEST_f_f (log2, 2.0, 1);
3441 TEST_f_f (log2, 16.0, 4);
3442 TEST_f_f (log2, 256.0, 8);
3443 TEST_f_f (log2, 0.75L, -.415037499278843818546261056052183492L);
3455 TEST_f_f (logb, plus_infty, plus_infty);
3456 TEST_f_f (logb, minus_infty, plus_infty);
3458 TEST_f_f (logb, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3460 TEST_f_f (logb, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3461 TEST_f_f (logb, nan_value, nan_value);
3463 TEST_f_f (logb, 1, 0);
3464 TEST_f_f (logb, M_El, 1);
3465 TEST_f_f (logb, 1024, 10);
3466 TEST_f_f (logb, -2000, 10);
3478 TEST_f_l (lround, 0, 0);
3479 TEST_f_l (lround, minus_zero, 0);
3480 TEST_f_l (lround, 0.2L, 0.0);
3481 TEST_f_l (lround, -0.2L, 0);
3482 TEST_f_l (lround, 0.5, 1);
3483 TEST_f_l (lround, -0.5, -1);
3484 TEST_f_l (lround, 0.8L, 1);
3485 TEST_f_l (lround, -0.8L, -1);
3486 TEST_f_l (lround, 1.5, 2);
3487 TEST_f_l (lround, -1.5, -2);
3488 TEST_f_l (lround, 22514.5, 22515);
3489 TEST_f_l (lround, -22514.5, -22515);
3490 TEST_f_l (lround, 1071930.0008, 1071930);
3492 TEST_f_l (lround, 1073741824.01, 1073741824);
3493 # if LONG_MAX > 281474976710656
3494 TEST_f_l (lround, 281474976710656.025, 281474976710656);
3496 TEST_f_l (lround, 2097152.5, 2097153);
3497 TEST_f_l (lround, -2097152.5, -2097153);
3508 TEST_f_L (llround, 0, 0);
3509 TEST_f_L (llround, minus_zero, 0);
3510 TEST_f_L (llround, 0.2L, 0.0);
3511 TEST_f_L (llround, -0.2L, 0);
3512 TEST_f_L (llround, 0.5, 1);
3513 TEST_f_L (llround, -0.5, -1);
3514 TEST_f_L (llround, 0.8L, 1);
3515 TEST_f_L (llround, -0.8L, -1);
3516 TEST_f_L (llround, 1.5, 2);
3517 TEST_f_L (llround, -1.5, -2);
3518 TEST_f_L (llround, 22514.5, 22515);
3519 TEST_f_L (llround, -22514.5, -22515);
3520 TEST_f_l (llround, 1071930.0008, 1071930);
3522 TEST_f_L (llround, 2097152.5, 2097153);
3523 TEST_f_L (llround, -2097152.5, -2097153);
3524 TEST_f_L (llround, 34359738368.5, 34359738369ll);
3525 TEST_f_L (llround, -34359738368.5, -34359738369ll);
3528 /* Test boundary conditions. */
3530 TEST_f_L (llround, 2097151.0, 2097151LL);
3532 TEST_f_L (llround, 8388608.0, 8388608LL);
3534 TEST_f_L (llround, 16777216.0, 16777216LL);
3536 TEST_f_L (llround, 2199023255552.0, 2199023255552LL);
3538 TEST_f_L (llround, 4398046511104.0, 4398046511104LL);
3539 /* 0x1000000000000 */
3540 TEST_f_L (llround, 281474976710656.0, 281474976710656LL);
3541 /* 0x10000000000000 */
3542 TEST_f_L (llround, 4503599627370496.0, 4503599627370496LL);
3543 /* 0x10000080000000 */
3544 TEST_f_L (llround, 4503601774854144.0, 4503601774854144LL);
3545 /* 0x20000000000000 */
3546 TEST_f_L (llround, 9007199254740992.0, 9007199254740992LL);
3547 /* 0x80000000000000 */
3548 TEST_f_L (llround, 36028797018963968.0, 36028797018963968LL);
3549 /* 0x100000000000000 */
3550 TEST_f_L (llround, 72057594037927936.0, 72057594037927936LL);
3554 TEST_f_L (llround, 4294967295.5, 4294967296LL);
3556 TEST_f_L (llround, 8589934591.5, 8589934592LL);
3560 /* The input can only be represented in long double. */
3561 TEST_f_L (llround, 4503599627370495.5L, 4503599627370496LL);
3562 TEST_f_L (llround, 4503599627370496.25L, 4503599627370496LL);
3563 TEST_f_L (llround, 4503599627370496.5L, 4503599627370497LL);
3564 TEST_f_L (llround, 4503599627370496.75L, 4503599627370497LL);
3565 TEST_f_L (llround, 4503599627370497.5L, 4503599627370498LL);
3567 TEST_f_L (llround, -4503599627370495.5L, -4503599627370496LL);
3568 TEST_f_L (llround, -4503599627370496.25L, -4503599627370496LL);
3569 TEST_f_L (llround, -4503599627370496.5L, -4503599627370497LL);
3570 TEST_f_L (llround, -4503599627370496.75L, -4503599627370497LL);
3571 TEST_f_L (llround, -4503599627370497.5L, -4503599627370498LL);
3573 TEST_f_L (llround, 9007199254740991.5L, 9007199254740992LL);
3574 TEST_f_L (llround, 9007199254740992.25L, 9007199254740992LL);
3575 TEST_f_L (llround, 9007199254740992.5L, 9007199254740993LL);
3576 TEST_f_L (llround, 9007199254740992.75L, 9007199254740993LL);
3577 TEST_f_L (llround, 9007199254740993.5L, 9007199254740994LL);
3579 TEST_f_L (llround, -9007199254740991.5L, -9007199254740992LL);
3580 TEST_f_L (llround, -9007199254740992.25L, -9007199254740992LL);
3581 TEST_f_L (llround, -9007199254740992.5L, -9007199254740993LL);
3582 TEST_f_L (llround, -9007199254740992.75L, -9007199254740993LL);
3583 TEST_f_L (llround, -9007199254740993.5L, -9007199254740994LL);
3585 TEST_f_L (llround, 72057594037927935.5L, 72057594037927936LL);
3586 TEST_f_L (llround, 72057594037927936.25L, 72057594037927936LL);
3587 TEST_f_L (llround, 72057594037927936.5L, 72057594037927937LL);
3588 TEST_f_L (llround, 72057594037927936.75L, 72057594037927937LL);
3589 TEST_f_L (llround, 72057594037927937.5L, 72057594037927938LL);
3591 TEST_f_L (llround, -72057594037927935.5L, -72057594037927936LL);
3592 TEST_f_L (llround, -72057594037927936.25L, -72057594037927936LL);
3593 TEST_f_L (llround, -72057594037927936.5L, -72057594037927937LL);
3594 TEST_f_L (llround, -72057594037927936.75L, -72057594037927937LL);
3595 TEST_f_L (llround, -72057594037927937.5L, -72057594037927938LL);
3597 TEST_f_L (llround, 9223372036854775806.25L, 9223372036854775806LL);
3598 TEST_f_L (llround, -9223372036854775806.25L, -9223372036854775806LL);
3599 TEST_f_L (llround, 9223372036854775806.5L, 9223372036854775807LL);
3600 TEST_f_L (llround, -9223372036854775806.5L, -9223372036854775807LL);
3601 TEST_f_L (llround, 9223372036854775807.0L, 9223372036854775807LL);
3602 TEST_f_L (llround, -9223372036854775807.0L, -9223372036854775807LL);
3616 TEST_fF_f1 (modf, plus_infty, 0, plus_infty);
3617 TEST_fF_f1 (modf, minus_infty, minus_zero, minus_infty);
3618 TEST_fF_f1 (modf, nan_value, nan_value, nan_value);
3619 TEST_fF_f1 (modf, 0, 0, 0);
3620 TEST_fF_f1 (modf, 1.5, 0.5, 1);
3621 TEST_fF_f1 (modf, 2.5, 0.5, 2);
3622 TEST_fF_f1 (modf, -2.5, -0.5, -2);
3623 TEST_fF_f1 (modf, 20, 0, 20);
3624 TEST_fF_f1 (modf, 21, 0, 21);
3625 TEST_fF_f1 (modf, 89.5, 0.5, 89);
3633 nearbyint_test (void)
3637 TEST_f_f (nearbyint, 0.0, 0.0);
3638 TEST_f_f (nearbyint, minus_zero, minus_zero);
3639 TEST_f_f (nearbyint, plus_infty, plus_infty);
3640 TEST_f_f (nearbyint, minus_infty, minus_infty);
3641 TEST_f_f (nearbyint, nan_value, nan_value);
3643 /* Default rounding mode is round to nearest. */
3644 TEST_f_f (nearbyint, 0.5, 0.0);
3645 TEST_f_f (nearbyint, 1.5, 2.0);
3646 TEST_f_f (nearbyint, -0.5, minus_zero);
3647 TEST_f_f (nearbyint, -1.5, -2.0);
3653 nextafter_test (void)
3658 TEST_ff_f (nextafter, 0, 0, 0);
3659 TEST_ff_f (nextafter, minus_zero, 0, 0);
3660 TEST_ff_f (nextafter, 0, minus_zero, minus_zero);
3661 TEST_ff_f (nextafter, minus_zero, minus_zero, minus_zero);
3663 TEST_ff_f (nextafter, 9, 9, 9);
3664 TEST_ff_f (nextafter, -9, -9, -9);
3665 TEST_ff_f (nextafter, plus_infty, plus_infty, plus_infty);
3666 TEST_ff_f (nextafter, minus_infty, minus_infty, minus_infty);
3668 TEST_ff_f (nextafter, nan_value, 1.1L, nan_value);
3669 TEST_ff_f (nextafter, 1.1L, nan_value, nan_value);
3670 TEST_ff_f (nextafter, nan_value, nan_value, nan_value);
3672 FLOAT fltmax = CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX,
3673 LDBL_MAX, DBL_MAX, FLT_MAX);
3674 TEST_ff_f (nextafter, fltmax, plus_infty, plus_infty);
3675 TEST_ff_f (nextafter, -fltmax, minus_infty, minus_infty);
3678 // XXX Enable once gcc is fixed.
3679 //TEST_ff_f (nextafter, 0x0.00000040000000000000p-16385L, -0.1L, 0x0.0000003ffffffff00000p-16385L);
3682 /* XXX We need the hexadecimal FP number representation here for further
3690 nexttoward_test (void)
3693 TEST_ff_f (nexttoward, 0, 0, 0);
3694 TEST_ff_f (nexttoward, minus_zero, 0, 0);
3695 TEST_ff_f (nexttoward, 0, minus_zero, minus_zero);
3696 TEST_ff_f (nexttoward, minus_zero, minus_zero, minus_zero);
3698 TEST_ff_f (nexttoward, 9, 9, 9);
3699 TEST_ff_f (nexttoward, -9, -9, -9);
3700 TEST_ff_f (nexttoward, plus_infty, plus_infty, plus_infty);
3701 TEST_ff_f (nexttoward, minus_infty, minus_infty, minus_infty);
3703 TEST_ff_f (nexttoward, nan_value, 1.1L, nan_value);
3704 TEST_ff_f (nexttoward, 1.1L, nan_value, nan_value);
3705 TEST_ff_f (nexttoward, nan_value, nan_value, nan_value);
3707 /* XXX We need the hexadecimal FP number representation here for further
3721 if (errno == ENOSYS)
3722 /* Function not implemented. */
3727 TEST_ff_f (pow, 0, 0, 1);
3728 TEST_ff_f (pow, 0, minus_zero, 1);
3729 TEST_ff_f (pow, minus_zero, 0, 1);
3730 TEST_ff_f (pow, minus_zero, minus_zero, 1);
3732 TEST_ff_f (pow, 10, 0, 1);
3733 TEST_ff_f (pow, 10, minus_zero, 1);
3734 TEST_ff_f (pow, -10, 0, 1);
3735 TEST_ff_f (pow, -10, minus_zero, 1);
3737 TEST_ff_f (pow, nan_value, 0, 1);
3738 TEST_ff_f (pow, nan_value, minus_zero, 1);
3742 TEST_ff_f (pow, 1.1L, plus_infty, plus_infty);
3743 TEST_ff_f (pow, plus_infty, plus_infty, plus_infty);
3744 TEST_ff_f (pow, -1.1L, plus_infty, plus_infty);
3745 TEST_ff_f (pow, minus_infty, plus_infty, plus_infty);
3747 TEST_ff_f (pow, 0.9L, plus_infty, 0);
3748 TEST_ff_f (pow, 1e-7L, plus_infty, 0);
3749 TEST_ff_f (pow, -0.9L, plus_infty, 0);
3750 TEST_ff_f (pow, -1e-7L, plus_infty, 0);
3752 TEST_ff_f (pow, 1.1L, minus_infty, 0);
3753 TEST_ff_f (pow, plus_infty, minus_infty, 0);
3754 TEST_ff_f (pow, -1.1L, minus_infty, 0);
3755 TEST_ff_f (pow, minus_infty, minus_infty, 0);
3757 TEST_ff_f (pow, 0.9L, minus_infty, plus_infty);
3758 TEST_ff_f (pow, 1e-7L, minus_infty, plus_infty);
3759 TEST_ff_f (pow, -0.9L, minus_infty, plus_infty);
3760 TEST_ff_f (pow, -1e-7L, minus_infty, plus_infty);
3762 TEST_ff_f (pow, plus_infty, 1e-7L, plus_infty);
3763 TEST_ff_f (pow, plus_infty, 1, plus_infty);
3764 TEST_ff_f (pow, plus_infty, 1e7L, plus_infty);
3766 TEST_ff_f (pow, plus_infty, -1e-7L, 0);
3767 TEST_ff_f (pow, plus_infty, -1, 0);
3768 TEST_ff_f (pow, plus_infty, -1e7L, 0);
3770 TEST_ff_f (pow, minus_infty, 1, minus_infty);
3771 TEST_ff_f (pow, minus_infty, 11, minus_infty);
3772 TEST_ff_f (pow, minus_infty, 1001, minus_infty);
3774 TEST_ff_f (pow, minus_infty, 2, plus_infty);
3775 TEST_ff_f (pow, minus_infty, 12, plus_infty);
3776 TEST_ff_f (pow, minus_infty, 1002, plus_infty);
3777 TEST_ff_f (pow, minus_infty, 0.1L, plus_infty);
3778 TEST_ff_f (pow, minus_infty, 1.1L, plus_infty);
3779 TEST_ff_f (pow, minus_infty, 11.1L, plus_infty);
3780 TEST_ff_f (pow, minus_infty, 1001.1L, plus_infty);
3782 TEST_ff_f (pow, minus_infty, -1, minus_zero);
3783 TEST_ff_f (pow, minus_infty, -11, minus_zero);
3784 TEST_ff_f (pow, minus_infty, -1001, minus_zero);
3786 TEST_ff_f (pow, minus_infty, -2, 0);
3787 TEST_ff_f (pow, minus_infty, -12, 0);
3788 TEST_ff_f (pow, minus_infty, -1002, 0);
3789 TEST_ff_f (pow, minus_infty, -0.1L, 0);
3790 TEST_ff_f (pow, minus_infty, -1.1L, 0);
3791 TEST_ff_f (pow, minus_infty, -11.1L, 0);
3792 TEST_ff_f (pow, minus_infty, -1001.1L, 0);
3795 TEST_ff_f (pow, nan_value, nan_value, nan_value);
3796 TEST_ff_f (pow, 0, nan_value, nan_value);
3797 TEST_ff_f (pow, 1, nan_value, 1);
3798 TEST_ff_f (pow, -1, nan_value, nan_value);
3799 TEST_ff_f (pow, nan_value, 1, nan_value);
3800 TEST_ff_f (pow, nan_value, -1, nan_value);
3802 /* pow (x, NaN) == NaN. */
3803 TEST_ff_f (pow, 3.0, nan_value, nan_value);
3805 TEST_ff_f (pow, 1, plus_infty, 1);
3806 TEST_ff_f (pow, -1, plus_infty, 1);
3807 TEST_ff_f (pow, 1, minus_infty, 1);
3808 TEST_ff_f (pow, -1, minus_infty, 1);
3809 TEST_ff_f (pow, 1, 1, 1);
3810 TEST_ff_f (pow, 1, -1, 1);
3811 TEST_ff_f (pow, 1, 1.25, 1);
3812 TEST_ff_f (pow, 1, -1.25, 1);
3813 TEST_ff_f (pow, 1, 0x1p62L, 1);
3814 TEST_ff_f (pow, 1, 0x1p63L, 1);
3815 TEST_ff_f (pow, 1, 0x1p64L, 1);
3816 TEST_ff_f (pow, 1, 0x1p72L, 1);
3818 /* pow (x, +-0) == 1. */
3819 TEST_ff_f (pow, plus_infty, 0, 1);
3820 TEST_ff_f (pow, plus_infty, minus_zero, 1);
3821 TEST_ff_f (pow, minus_infty, 0, 1);
3822 TEST_ff_f (pow, minus_infty, minus_zero, 1);
3823 TEST_ff_f (pow, 32.75L, 0, 1);
3824 TEST_ff_f (pow, 32.75L, minus_zero, 1);
3825 TEST_ff_f (pow, -32.75L, 0, 1);
3826 TEST_ff_f (pow, -32.75L, minus_zero, 1);
3827 TEST_ff_f (pow, 0x1p72L, 0, 1);
3828 TEST_ff_f (pow, 0x1p72L, minus_zero, 1);
3829 TEST_ff_f (pow, 0x1p-72L, 0, 1);
3830 TEST_ff_f (pow, 0x1p-72L, minus_zero, 1);
3832 TEST_ff_f (pow, -0.1L, 1.1L, nan_value, INVALID_EXCEPTION);
3833 TEST_ff_f (pow, -0.1L, -1.1L, nan_value, INVALID_EXCEPTION);
3834 TEST_ff_f (pow, -10.1L, 1.1L, nan_value, INVALID_EXCEPTION);
3835 TEST_ff_f (pow, -10.1L, -1.1L, nan_value, INVALID_EXCEPTION);
3837 TEST_ff_f (pow, 0, -1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3838 TEST_ff_f (pow, 0, -11, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3839 TEST_ff_f (pow, minus_zero, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3840 TEST_ff_f (pow, minus_zero, -11, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3842 TEST_ff_f (pow, 0, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3843 TEST_ff_f (pow, 0, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3844 TEST_ff_f (pow, minus_zero, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3845 TEST_ff_f (pow, minus_zero, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3847 TEST_ff_f (pow, 0x1p72L, 0x1p72L, plus_infty);
3848 TEST_ff_f (pow, 10, -0x1p72L, 0);
3849 TEST_ff_f (pow, max_value, max_value, plus_infty);
3850 TEST_ff_f (pow, 10, -max_value, 0);
3852 TEST_ff_f (pow, 0, 1, 0);
3853 TEST_ff_f (pow, 0, 11, 0);
3855 TEST_ff_f (pow, minus_zero, 1, minus_zero);
3856 TEST_ff_f (pow, minus_zero, 11, minus_zero);
3859 TEST_ff_f (pow, 0, 2, 0);
3860 TEST_ff_f (pow, 0, 11.1L, 0);
3863 TEST_ff_f (pow, minus_zero, 2, 0);
3864 TEST_ff_f (pow, minus_zero, 11.1L, 0);
3865 TEST_ff_f (pow, 0, plus_infty, 0);
3866 TEST_ff_f (pow, minus_zero, plus_infty, 0);
3869 /* pow (x, +inf) == +inf for |x| > 1. */
3870 TEST_ff_f (pow, 1.5, plus_infty, plus_infty);
3872 /* pow (x, +inf) == +0 for |x| < 1. */
3873 TEST_ff_f (pow, 0.5, plus_infty, 0.0);
3875 /* pow (x, -inf) == +0 for |x| > 1. */
3876 TEST_ff_f (pow, 1.5, minus_infty, 0.0);
3878 /* pow (x, -inf) == +inf for |x| < 1. */
3879 TEST_ff_f (pow, 0.5, minus_infty, plus_infty);
3882 /* pow (+inf, y) == +inf for y > 0. */
3883 TEST_ff_f (pow, plus_infty, 2, plus_infty);
3885 /* pow (+inf, y) == +0 for y < 0. */
3886 TEST_ff_f (pow, plus_infty, -1, 0.0);
3888 /* pow (-inf, y) == -inf for y an odd integer > 0. */
3889 TEST_ff_f (pow, minus_infty, 27, minus_infty);
3891 /* pow (-inf, y) == +inf for y > 0 and not an odd integer. */
3892 TEST_ff_f (pow, minus_infty, 28, plus_infty);
3894 /* pow (-inf, y) == -0 for y an odd integer < 0. */
3895 TEST_ff_f (pow, minus_infty, -3, minus_zero);
3896 /* pow (-inf, y) == +0 for y < 0 and not an odd integer. */
3897 TEST_ff_f (pow, minus_infty, -2.0, 0.0);
3899 /* pow (+0, y) == +0 for y an odd integer > 0. */
3900 TEST_ff_f (pow, 0.0, 27, 0.0);
3902 /* pow (-0, y) == -0 for y an odd integer > 0. */
3903 TEST_ff_f (pow, minus_zero, 27, minus_zero);
3905 /* pow (+0, y) == +0 for y > 0 and not an odd integer. */
3906 TEST_ff_f (pow, 0.0, 4, 0.0);
3908 /* pow (-0, y) == +0 for y > 0 and not an odd integer. */
3909 TEST_ff_f (pow, minus_zero, 4, 0.0);
3911 TEST_ff_f (pow, 16, 0.25L, 2);
3912 TEST_ff_f (pow, 0x1p64L, 0.125L, 256);
3913 TEST_ff_f (pow, 2, 4, 16);
3914 TEST_ff_f (pow, 256, 8, 0x1p64L);
3916 TEST_ff_f (pow, 0.75L, 1.25L, 0.697953644326574699205914060237425566L);
3918 #if defined TEST_DOUBLE || defined TEST_LDOUBLE
3919 TEST_ff_f (pow, -7.49321e+133, -9.80818e+16, 0);
3926 remainder_test (void)
3929 FUNC(remainder) (1.625, 1.0);
3930 if (errno == ENOSYS)
3931 /* Function not implemented. */
3936 TEST_ff_f (remainder, 1, 0, nan_value, INVALID_EXCEPTION);
3937 TEST_ff_f (remainder, 1, minus_zero, nan_value, INVALID_EXCEPTION);
3938 TEST_ff_f (remainder, plus_infty, 1, nan_value, INVALID_EXCEPTION);
3939 TEST_ff_f (remainder, minus_infty, 1, nan_value, INVALID_EXCEPTION);
3940 TEST_ff_f (remainder, nan_value, nan_value, nan_value);
3942 TEST_ff_f (remainder, 1.625, 1.0, -0.375);
3943 TEST_ff_f (remainder, -1.625, 1.0, 0.375);
3944 TEST_ff_f (remainder, 1.625, -1.0, -0.375);
3945 TEST_ff_f (remainder, -1.625, -1.0, 0.375);
3946 TEST_ff_f (remainder, 5.0, 2.0, 1.0);
3947 TEST_ff_f (remainder, 3.0, 2.0, -1.0);
3960 FUNC(remquo) (1.625, 1.0, &x);
3961 if (errno == ENOSYS)
3962 /* Function not implemented. */
3967 TEST_ffI_f1 (remquo, 1, 0, nan_value, IGNORE, INVALID_EXCEPTION);
3968 TEST_ffI_f1 (remquo, 1, minus_zero, nan_value, IGNORE, INVALID_EXCEPTION);
3969 TEST_ffI_f1 (remquo, plus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION);
3970 TEST_ffI_f1 (remquo, minus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION);
3971 TEST_ffI_f1 (remquo, nan_value, nan_value, nan_value, IGNORE);
3973 TEST_ffI_f1 (remquo, 1.625, 1.0, -0.375, 2);
3974 TEST_ffI_f1 (remquo, -1.625, 1.0, 0.375, -2);
3975 TEST_ffI_f1 (remquo, 1.625, -1.0, -0.375, -2);
3976 TEST_ffI_f1 (remquo, -1.625, -1.0, 0.375, 2);
3978 TEST_ffI_f1 (remquo, 5, 2, 1, 2);
3979 TEST_ffI_f1 (remquo, 3, 2, -1, 2);
3990 TEST_f_f (rint, 0.0, 0.0);
3991 TEST_f_f (rint, minus_zero, minus_zero);
3992 TEST_f_f (rint, plus_infty, plus_infty);
3993 TEST_f_f (rint, minus_infty, minus_infty);
3995 /* Default rounding mode is round to even. */
3996 TEST_f_f (rint, 0.5, 0.0);
3997 TEST_f_f (rint, 1.5, 2.0);
3998 TEST_f_f (rint, 2.5, 2.0);
3999 TEST_f_f (rint, 3.5, 4.0);
4000 TEST_f_f (rint, 4.5, 4.0);
4001 TEST_f_f (rint, -0.5, -0.0);
4002 TEST_f_f (rint, -1.5, -2.0);
4003 TEST_f_f (rint, -2.5, -2.0);
4004 TEST_f_f (rint, -3.5, -4.0);
4005 TEST_f_f (rint, -4.5, -4.0);
4007 /* The result can only be represented in long double. */
4008 TEST_f_f (rint, 4503599627370495.5L, 4503599627370496.0L);
4009 TEST_f_f (rint, 4503599627370496.25L, 4503599627370496.0L);
4010 TEST_f_f (rint, 4503599627370496.5L, 4503599627370496.0L);
4011 TEST_f_f (rint, 4503599627370496.75L, 4503599627370497.0L);
4012 TEST_f_f (rint, 4503599627370497.5L, 4503599627370498.0L);
4014 TEST_f_f (rint, -4503599627370495.5L, -4503599627370496.0L);
4015 TEST_f_f (rint, -4503599627370496.25L, -4503599627370496.0L);
4016 TEST_f_f (rint, -4503599627370496.5L, -4503599627370496.0L);
4017 TEST_f_f (rint, -4503599627370496.75L, -4503599627370497.0L);
4018 TEST_f_f (rint, -4503599627370497.5L, -4503599627370498.0L);
4020 TEST_f_f (rint, 9007199254740991.5L, 9007199254740992.0L);
4021 TEST_f_f (rint, 9007199254740992.25L, 9007199254740992.0L);
4022 TEST_f_f (rint, 9007199254740992.5L, 9007199254740992.0L);
4023 TEST_f_f (rint, 9007199254740992.75L, 9007199254740993.0L);
4024 TEST_f_f (rint, 9007199254740993.5L, 9007199254740994.0L);
4026 TEST_f_f (rint, -9007199254740991.5L, -9007199254740992.0L);
4027 TEST_f_f (rint, -9007199254740992.25L, -9007199254740992.0L);
4028 TEST_f_f (rint, -9007199254740992.5L, -9007199254740992.0L);
4029 TEST_f_f (rint, -9007199254740992.75L, -9007199254740993.0L);
4030 TEST_f_f (rint, -9007199254740993.5L, -9007199254740994.0L);
4032 TEST_f_f (rint, 72057594037927935.5L, 72057594037927936.0L);
4033 TEST_f_f (rint, 72057594037927936.25L, 72057594037927936.0L);
4034 TEST_f_f (rint, 72057594037927936.5L, 72057594037927936.0L);
4035 TEST_f_f (rint, 72057594037927936.75L, 72057594037927937.0L);
4036 TEST_f_f (rint, 72057594037927937.5L, 72057594037927938.0L);
4038 TEST_f_f (rint, -72057594037927935.5L, -72057594037927936.0L);
4039 TEST_f_f (rint, -72057594037927936.25L, -72057594037927936.0L);
4040 TEST_f_f (rint, -72057594037927936.5L, -72057594037927936.0L);
4041 TEST_f_f (rint, -72057594037927936.75L, -72057594037927937.0L);
4042 TEST_f_f (rint, -72057594037927937.5L, -72057594037927938.0L);
4044 TEST_f_f (rint, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
4045 TEST_f_f (rint, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4046 TEST_f_f (rint, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
4047 TEST_f_f (rint, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
4048 TEST_f_f (rint, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
4056 rint_test_tonearest (void)
4058 int save_round_mode;
4059 START (rint_tonearest);
4061 save_round_mode = fegetround();
4063 if (!fesetround (FE_TONEAREST))
4065 TEST_f_f (rint, 2.0, 2.0);
4066 TEST_f_f (rint, 1.5, 2.0);
4067 TEST_f_f (rint, 1.0, 1.0);
4068 TEST_f_f (rint, 0.5, 0.0);
4069 TEST_f_f (rint, 0.0, 0.0);
4070 TEST_f_f (rint, minus_zero, minus_zero);
4071 TEST_f_f (rint, -0.5, -0.0);
4072 TEST_f_f (rint, -1.0, -1.0);
4073 TEST_f_f (rint, -1.5, -2.0);
4074 TEST_f_f (rint, -2.0, -2.0);
4077 fesetround(save_round_mode);
4079 END (rint_tonearest);
4083 rint_test_towardzero (void)
4085 int save_round_mode;
4086 START (rint_towardzero);
4088 save_round_mode = fegetround();
4090 if (!fesetround (FE_TOWARDZERO))
4092 TEST_f_f (rint, 2.0, 2.0);
4093 TEST_f_f (rint, 1.5, 1.0);
4094 TEST_f_f (rint, 1.0, 1.0);
4095 TEST_f_f (rint, 0.5, 0.0);
4096 TEST_f_f (rint, 0.0, 0.0);
4097 TEST_f_f (rint, minus_zero, minus_zero);
4098 TEST_f_f (rint, -0.5, -0.0);
4099 TEST_f_f (rint, -1.0, -1.0);
4100 TEST_f_f (rint, -1.5, -1.0);
4101 TEST_f_f (rint, -2.0, -2.0);
4104 fesetround(save_round_mode);
4106 END (rint_towardzero);
4110 rint_test_downward (void)
4112 int save_round_mode;
4113 START (rint_downward);
4115 save_round_mode = fegetround();
4117 if (!fesetround (FE_DOWNWARD))
4119 TEST_f_f (rint, 2.0, 2.0);
4120 TEST_f_f (rint, 1.5, 1.0);
4121 TEST_f_f (rint, 1.0, 1.0);
4122 TEST_f_f (rint, 0.5, 0.0);
4123 TEST_f_f (rint, 0.0, 0.0);
4124 TEST_f_f (rint, minus_zero, minus_zero);
4125 TEST_f_f (rint, -0.5, -1.0);
4126 TEST_f_f (rint, -1.0, -1.0);
4127 TEST_f_f (rint, -1.5, -2.0);
4128 TEST_f_f (rint, -2.0, -2.0);
4131 fesetround(save_round_mode);
4133 END (rint_downward);
4137 rint_test_upward (void)
4139 int save_round_mode;
4140 START (rint_upward);
4142 save_round_mode = fegetround();
4144 if (!fesetround (FE_UPWARD))
4146 TEST_f_f (rint, 2.0, 2.0);
4147 TEST_f_f (rint, 1.5, 2.0);
4148 TEST_f_f (rint, 1.0, 1.0);
4149 TEST_f_f (rint, 0.5, 1.0);
4150 TEST_f_f (rint, 0.0, 0.0);
4151 TEST_f_f (rint, minus_zero, minus_zero);
4152 TEST_f_f (rint, -0.5, -0.0);
4153 TEST_f_f (rint, -1.0, -1.0);
4154 TEST_f_f (rint, -1.5, -1.0);
4155 TEST_f_f (rint, -2.0, -2.0);
4158 fesetround(save_round_mode);
4168 TEST_f_f (round, 0, 0);
4169 TEST_f_f (round, minus_zero, minus_zero);
4170 TEST_f_f (round, 0.2L, 0.0);
4171 TEST_f_f (round, -0.2L, minus_zero);
4172 TEST_f_f (round, 0.5, 1.0);
4173 TEST_f_f (round, -0.5, -1.0);
4174 TEST_f_f (round, 0.8L, 1.0);
4175 TEST_f_f (round, -0.8L, -1.0);
4176 TEST_f_f (round, 1.5, 2.0);
4177 TEST_f_f (round, -1.5, -2.0);
4178 TEST_f_f (round, 2097152.5, 2097153);
4179 TEST_f_f (round, -2097152.5, -2097153);
4182 /* The result can only be represented in long double. */
4183 TEST_f_f (round, 4503599627370495.5L, 4503599627370496.0L);
4184 TEST_f_f (round, 4503599627370496.25L, 4503599627370496.0L);
4185 TEST_f_f (round, 4503599627370496.5L, 4503599627370497.0L);
4186 TEST_f_f (round, 4503599627370496.75L, 4503599627370497.0L);
4187 TEST_f_f (round, 4503599627370497.5L, 4503599627370498.0L);
4189 TEST_f_f (round, -4503599627370495.5L, -4503599627370496.0L);
4190 TEST_f_f (round, -4503599627370496.25L, -4503599627370496.0L);
4191 TEST_f_f (round, -4503599627370496.5L, -4503599627370497.0L);
4192 TEST_f_f (round, -4503599627370496.75L, -4503599627370497.0L);
4193 TEST_f_f (round, -4503599627370497.5L, -4503599627370498.0L);
4195 TEST_f_f (round, 9007199254740991.5L, 9007199254740992.0L);
4196 TEST_f_f (round, 9007199254740992.25L, 9007199254740992.0L);
4197 TEST_f_f (round, 9007199254740992.5L, 9007199254740993.0L);
4198 TEST_f_f (round, 9007199254740992.75L, 9007199254740993.0L);
4199 TEST_f_f (round, 9007199254740993.5L, 9007199254740994.0L);
4201 TEST_f_f (round, -9007199254740991.5L, -9007199254740992.0L);
4202 TEST_f_f (round, -9007199254740992.25L, -9007199254740992.0L);
4203 TEST_f_f (round, -9007199254740992.5L, -9007199254740993.0L);
4204 TEST_f_f (round, -9007199254740992.75L, -9007199254740993.0L);
4205 TEST_f_f (round, -9007199254740993.5L, -9007199254740994.0L);
4207 TEST_f_f (round, 72057594037927935.5L, 72057594037927936.0L);
4208 TEST_f_f (round, 72057594037927936.25L, 72057594037927936.0L);
4209 TEST_f_f (round, 72057594037927936.5L, 72057594037927937.0L);
4210 TEST_f_f (round, 72057594037927936.75L, 72057594037927937.0L);
4211 TEST_f_f (round, 72057594037927937.5L, 72057594037927938.0L);
4213 TEST_f_f (round, -72057594037927935.5L, -72057594037927936.0L);
4214 TEST_f_f (round, -72057594037927936.25L, -72057594037927936.0L);
4215 TEST_f_f (round, -72057594037927936.5L, -72057594037927937.0L);
4216 TEST_f_f (round, -72057594037927936.75L, -72057594037927937.0L);
4217 TEST_f_f (round, -72057594037927937.5L, -72057594037927938.0L);
4219 TEST_f_f (round, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
4220 TEST_f_f (round, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4221 TEST_f_f (round, 10141204801825835211973625643008.5L, 10141204801825835211973625643009.0L);
4222 TEST_f_f (round, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
4223 TEST_f_f (round, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
4235 #ifndef TEST_LDOUBLE /* uclibc doesn't have scalbl */
4237 TEST_ff_f (scalb, 2.0, 0.5, nan_value, INVALID_EXCEPTION);
4238 TEST_ff_f (scalb, 3.0, -2.5, nan_value, INVALID_EXCEPTION);
4240 TEST_ff_f (scalb, 0, nan_value, nan_value);
4241 TEST_ff_f (scalb, 1, nan_value, nan_value);
4243 TEST_ff_f (scalb, 1, 0, 1);
4244 TEST_ff_f (scalb, -1, 0, -1);
4246 TEST_ff_f (scalb, 0, plus_infty, nan_value, INVALID_EXCEPTION);
4247 TEST_ff_f (scalb, minus_zero, plus_infty, nan_value, INVALID_EXCEPTION);
4249 TEST_ff_f (scalb, 0, 2, 0);
4250 TEST_ff_f (scalb, minus_zero, -4, minus_zero);
4251 TEST_ff_f (scalb, 0, 0, 0);
4252 TEST_ff_f (scalb, minus_zero, 0, minus_zero);
4253 TEST_ff_f (scalb, 0, -1, 0);
4254 TEST_ff_f (scalb, minus_zero, -10, minus_zero);
4255 TEST_ff_f (scalb, 0, minus_infty, 0);
4256 TEST_ff_f (scalb, minus_zero, minus_infty, minus_zero);
4258 TEST_ff_f (scalb, plus_infty, -1, plus_infty);
4259 TEST_ff_f (scalb, minus_infty, -10, minus_infty);
4260 TEST_ff_f (scalb, plus_infty, 0, plus_infty);
4261 TEST_ff_f (scalb, minus_infty, 0, minus_infty);
4262 TEST_ff_f (scalb, plus_infty, 2, plus_infty);
4263 TEST_ff_f (scalb, minus_infty, 100, minus_infty);
4265 TEST_ff_f (scalb, 0.1L, minus_infty, 0.0);
4266 TEST_ff_f (scalb, -0.1L, minus_infty, minus_zero);
4268 TEST_ff_f (scalb, 1, plus_infty, plus_infty);
4269 TEST_ff_f (scalb, -1, plus_infty, minus_infty);
4270 TEST_ff_f (scalb, plus_infty, plus_infty, plus_infty);
4271 TEST_ff_f (scalb, minus_infty, plus_infty, minus_infty);
4273 TEST_ff_f (scalb, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
4274 TEST_ff_f (scalb, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
4276 TEST_ff_f (scalb, nan_value, 1, nan_value);
4277 TEST_ff_f (scalb, 1, nan_value, nan_value);
4278 TEST_ff_f (scalb, nan_value, 0, nan_value);
4279 TEST_ff_f (scalb, 0, nan_value, nan_value);
4280 TEST_ff_f (scalb, nan_value, plus_infty, nan_value);
4281 TEST_ff_f (scalb, plus_infty, nan_value, nan_value);
4282 TEST_ff_f (scalb, nan_value, nan_value, nan_value);
4284 TEST_ff_f (scalb, 0.8L, 4, 12.8L);
4285 TEST_ff_f (scalb, -0.854375L, 5, -27.34L);
4297 TEST_fi_f (scalbn, 0, 0, 0);
4298 TEST_fi_f (scalbn, minus_zero, 0, minus_zero);
4300 TEST_fi_f (scalbn, plus_infty, 1, plus_infty);
4301 TEST_fi_f (scalbn, minus_infty, 1, minus_infty);
4302 TEST_fi_f (scalbn, nan_value, 1, nan_value);
4304 TEST_fi_f (scalbn, 0.8L, 4, 12.8L);
4305 TEST_fi_f (scalbn, -0.854375L, 5, -27.34L);
4307 TEST_fi_f (scalbn, 1, 0L, 1);
4320 TEST_fl_f (scalbln, 0, 0, 0);
4321 TEST_fl_f (scalbln, minus_zero, 0, minus_zero);
4323 TEST_fl_f (scalbln, plus_infty, 1, plus_infty);
4324 TEST_fl_f (scalbln, minus_infty, 1, minus_infty);
4325 TEST_fl_f (scalbln, nan_value, 1, nan_value);
4327 TEST_fl_f (scalbln, 0.8L, 4, 12.8L);
4328 TEST_fl_f (scalbln, -0.854375L, 5, -27.34L);
4330 TEST_fl_f (scalbln, 1, 0L, 1);
4343 TEST_f_b (signbit, 0, 0);
4344 TEST_f_b (signbit, minus_zero, 1);
4345 TEST_f_b (signbit, plus_infty, 0);
4346 TEST_f_b (signbit, minus_infty, 1);
4348 /* signbit (x) != 0 for x < 0. */
4349 TEST_f_b (signbit, -1, 1);
4350 /* signbit (x) == 0 for x >= 0. */
4351 TEST_f_b (signbit, 1, 0);
4362 if (errno == ENOSYS)
4363 /* Function not implemented. */
4368 TEST_f_f (sin, 0, 0);
4369 TEST_f_f (sin, minus_zero, minus_zero);
4370 TEST_f_f (sin, plus_infty, nan_value, INVALID_EXCEPTION);
4371 TEST_f_f (sin, minus_infty, nan_value, INVALID_EXCEPTION);
4372 TEST_f_f (sin, nan_value, nan_value);
4374 TEST_f_f (sin, M_PI_6l, 0.5);
4375 TEST_f_f (sin, -M_PI_6l, -0.5);
4376 TEST_f_f (sin, M_PI_2l, 1);
4377 TEST_f_f (sin, -M_PI_2l, -1);
4378 TEST_f_f (sin, 0.75L, 0.681638760023334166733241952779893935L);
4381 TEST_f_f (sin, 0.80190127184058835, 0.71867942238767868);
4393 FLOAT sin_res, cos_res;
4396 FUNC(sincos) (0, &sin_res, &cos_res);
4397 if (errno == ENOSYS)
4398 /* Function not implemented. */
4403 /* sincos is treated differently because it returns void. */
4404 TEST_extra (sincos, 0, 0, 1);
4406 TEST_extra (sincos, minus_zero, minus_zero, 1);
4407 TEST_extra (sincos, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
4408 TEST_extra (sincos, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
4409 TEST_extra (sincos, nan_value, nan_value, nan_value);
4411 TEST_extra (sincos, M_PI_2l, 1, 0);
4412 TEST_extra (sincos, M_PI_6l, 0.5, 0.86602540378443864676372317075293616L);
4413 TEST_extra (sincos, M_PI_6l*2.0, 0.86602540378443864676372317075293616L, 0.5);
4414 TEST_extra (sincos, 0.75L, 0.681638760023334166733241952779893935L, 0.731688868873820886311838753000084544L);
4417 TEST_extra (sincos, 0.80190127184058835, 0.71867942238767868, 0.69534156199418473);
4429 if (errno == ENOSYS)
4430 /* Function not implemented. */
4434 TEST_f_f (sinh, 0, 0);
4435 TEST_f_f (sinh, minus_zero, minus_zero);
4438 TEST_f_f (sinh, plus_infty, plus_infty);
4439 TEST_f_f (sinh, minus_infty, minus_infty);
4441 TEST_f_f (sinh, nan_value, nan_value);
4443 TEST_f_f (sinh, 0.75L, 0.822316731935829980703661634446913849L);
4444 TEST_f_f (sinh, 0x8p-32L, 1.86264514923095703232705808926175479e-9L);
4454 if (errno == ENOSYS)
4455 /* Function not implemented. */
4460 TEST_f_f (sqrt, 0, 0);
4461 TEST_f_f (sqrt, nan_value, nan_value);
4462 TEST_f_f (sqrt, plus_infty, plus_infty);
4464 TEST_f_f (sqrt, minus_zero, minus_zero);
4466 /* sqrt (x) == NaN plus invalid exception for x < 0. */
4467 TEST_f_f (sqrt, -1, nan_value, INVALID_EXCEPTION);
4468 TEST_f_f (sqrt, minus_infty, nan_value, INVALID_EXCEPTION);
4469 TEST_f_f (sqrt, nan_value, nan_value);
4471 TEST_f_f (sqrt, 2209, 47);
4472 TEST_f_f (sqrt, 4, 2);
4473 TEST_f_f (sqrt, 2, M_SQRT2l);
4474 TEST_f_f (sqrt, 0.25, 0.5);
4475 TEST_f_f (sqrt, 6642.25, 81.5);
4476 TEST_f_f (sqrt, 15190.5625L, 123.25L);
4477 TEST_f_f (sqrt, 0.75L, 0.866025403784438646763723170752936183L);
4488 if (errno == ENOSYS)
4489 /* Function not implemented. */
4494 TEST_f_f (tan, 0, 0);
4495 TEST_f_f (tan, minus_zero, minus_zero);
4496 TEST_f_f (tan, plus_infty, nan_value, INVALID_EXCEPTION);
4497 TEST_f_f (tan, minus_infty, nan_value, INVALID_EXCEPTION);
4498 TEST_f_f (tan, nan_value, nan_value);
4500 TEST_f_f (tan, M_PI_4l, 1);
4501 TEST_f_f (tan, 0.75L, 0.931596459944072461165202756573936428L);
4511 if (errno == ENOSYS)
4512 /* Function not implemented. */
4517 TEST_f_f (tanh, 0, 0);
4518 TEST_f_f (tanh, minus_zero, minus_zero);
4521 TEST_f_f (tanh, plus_infty, 1);
4522 TEST_f_f (tanh, minus_infty, -1);
4524 TEST_f_f (tanh, nan_value, nan_value);
4526 TEST_f_f (tanh, 0.75L, 0.635148952387287319214434357312496495L);
4527 TEST_f_f (tanh, -0.75L, -0.635148952387287319214434357312496495L);
4529 TEST_f_f (tanh, 1.0L, 0.7615941559557648881194582826047935904L);
4530 TEST_f_f (tanh, -1.0L, -0.7615941559557648881194582826047935904L);
4533 TEST_f_f (tanh, 0x1p-57L, 6.938893903907228377647697925567626953125e-18L);
4544 if (errno == ENOSYS)
4545 /* Function not implemented. */
4547 feclearexcept (FE_ALL_EXCEPT);
4551 TEST_f_f (tgamma, plus_infty, plus_infty);
4552 TEST_f_f (tgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
4553 TEST_f_f (tgamma, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
4554 /* tgamma (x) == NaN plus invalid exception for integer x <= 0. */
4555 TEST_f_f (tgamma, -2, nan_value, INVALID_EXCEPTION);
4556 TEST_f_f (tgamma, minus_infty, nan_value, INVALID_EXCEPTION);
4557 TEST_f_f (tgamma, nan_value, nan_value);
4559 TEST_f_f (tgamma, 0.5, M_SQRT_PIl);
4560 TEST_f_f (tgamma, -0.5, -M_2_SQRT_PIl);
4562 TEST_f_f (tgamma, 1, 1);
4563 TEST_f_f (tgamma, 4, 6);
4565 TEST_f_f (tgamma, 0.7L, 1.29805533264755778568117117915281162L);
4566 TEST_f_f (tgamma, 1.2L, 0.918168742399760610640951655185830401L);
4579 TEST_f_f (trunc, plus_infty, plus_infty);
4580 TEST_f_f (trunc, minus_infty, minus_infty);
4581 TEST_f_f (trunc, nan_value, nan_value);
4583 TEST_f_f (trunc, 0, 0);
4584 TEST_f_f (trunc, minus_zero, minus_zero);
4585 TEST_f_f (trunc, 0.625, 0);
4586 TEST_f_f (trunc, -0.625, minus_zero);
4587 TEST_f_f (trunc, 1, 1);
4588 TEST_f_f (trunc, -1, -1);
4589 TEST_f_f (trunc, 1.625, 1);
4590 TEST_f_f (trunc, -1.625, -1);
4592 TEST_f_f (trunc, 1048580.625L, 1048580L);
4593 TEST_f_f (trunc, -1048580.625L, -1048580L);
4595 TEST_f_f (trunc, 8388610.125L, 8388610.0L);
4596 TEST_f_f (trunc, -8388610.125L, -8388610.0L);
4598 TEST_f_f (trunc, 4294967296.625L, 4294967296.0L);
4599 TEST_f_f (trunc, -4294967296.625L, -4294967296.0L);
4602 /* The result can only be represented in long double. */
4603 TEST_f_f (trunc, 4503599627370495.5L, 4503599627370495.0L);
4604 TEST_f_f (trunc, 4503599627370496.25L, 4503599627370496.0L);
4605 TEST_f_f (trunc, 4503599627370496.5L, 4503599627370496.0L);
4606 TEST_f_f (trunc, 4503599627370496.75L, 4503599627370496.0L);
4607 TEST_f_f (trunc, 4503599627370497.5L, 4503599627370497.0L);
4609 TEST_f_f (trunc, -4503599627370495.5L, -4503599627370495.0L);
4610 TEST_f_f (trunc, -4503599627370496.25L, -4503599627370496.0L);
4611 TEST_f_f (trunc, -4503599627370496.5L, -4503599627370496.0L);
4612 TEST_f_f (trunc, -4503599627370496.75L, -4503599627370496.0L);
4613 TEST_f_f (trunc, -4503599627370497.5L, -4503599627370497.0L);
4615 TEST_f_f (trunc, 9007199254740991.5L, 9007199254740991.0L);
4616 TEST_f_f (trunc, 9007199254740992.25L, 9007199254740992.0L);
4617 TEST_f_f (trunc, 9007199254740992.5L, 9007199254740992.0L);
4618 TEST_f_f (trunc, 9007199254740992.75L, 9007199254740992.0L);
4619 TEST_f_f (trunc, 9007199254740993.5L, 9007199254740993.0L);
4621 TEST_f_f (trunc, -9007199254740991.5L, -9007199254740991.0L);
4622 TEST_f_f (trunc, -9007199254740992.25L, -9007199254740992.0L);
4623 TEST_f_f (trunc, -9007199254740992.5L, -9007199254740992.0L);
4624 TEST_f_f (trunc, -9007199254740992.75L, -9007199254740992.0L);
4625 TEST_f_f (trunc, -9007199254740993.5L, -9007199254740993.0L);
4627 TEST_f_f (trunc, 72057594037927935.5L, 72057594037927935.0L);
4628 TEST_f_f (trunc, 72057594037927936.25L, 72057594037927936.0L);
4629 TEST_f_f (trunc, 72057594037927936.5L, 72057594037927936.0L);
4630 TEST_f_f (trunc, 72057594037927936.75L, 72057594037927936.0L);
4631 TEST_f_f (trunc, 72057594037927937.5L, 72057594037927937.0L);
4633 TEST_f_f (trunc, -72057594037927935.5L, -72057594037927935.0L);
4634 TEST_f_f (trunc, -72057594037927936.25L, -72057594037927936.0L);
4635 TEST_f_f (trunc, -72057594037927936.5L, -72057594037927936.0L);
4636 TEST_f_f (trunc, -72057594037927936.75L, -72057594037927936.0L);
4637 TEST_f_f (trunc, -72057594037927937.5L, -72057594037927937.0L);
4639 TEST_f_f (trunc, 10141204801825835211973625643007.5L, 10141204801825835211973625643007.0L);
4640 TEST_f_f (trunc, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4641 TEST_f_f (trunc, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
4642 TEST_f_f (trunc, 10141204801825835211973625643008.75L, 10141204801825835211973625643008.0L);
4643 TEST_f_f (trunc, 10141204801825835211973625643009.5L, 10141204801825835211973625643009.0L);
4656 FUNC (sincos) (0, &s, &c);
4657 if (errno == ENOSYS)
4658 /* Required function not implemented. */
4662 if (errno == ENOSYS)
4663 /* Function not implemented. */
4666 /* y0 is the Bessel function of the second kind of order 0 */
4669 TEST_f_f (y0, -1.0, minus_infty, INVALID_EXCEPTION);
4670 TEST_f_f (y0, 0.0, minus_infty);
4671 TEST_f_f (y0, nan_value, nan_value);
4672 TEST_f_f (y0, plus_infty, 0);
4674 TEST_f_f (y0, 0.125L, -1.38968062514384052915582277745018693L);
4675 TEST_f_f (y0, 0.75L, -0.137172769385772397522814379396581855L);
4676 TEST_f_f (y0, 1.0, 0.0882569642156769579829267660235151628L);
4677 TEST_f_f (y0, 1.5, 0.382448923797758843955068554978089862L);
4678 TEST_f_f (y0, 2.0, 0.510375672649745119596606592727157873L);
4679 TEST_f_f (y0, 8.0, 0.223521489387566220527323400498620359L);
4680 TEST_f_f (y0, 10.0, 0.0556711672835993914244598774101900481L);
4692 FUNC (sincos) (0, &s, &c);
4693 if (errno == ENOSYS)
4694 /* Required function not implemented. */
4698 if (errno == ENOSYS)
4699 /* Function not implemented. */
4702 /* y1 is the Bessel function of the second kind of order 1 */
4705 TEST_f_f (y1, -1.0, minus_infty, INVALID_EXCEPTION);
4706 TEST_f_f (y1, 0.0, minus_infty);
4707 TEST_f_f (y1, plus_infty, 0);
4708 TEST_f_f (y1, nan_value, nan_value);
4710 TEST_f_f (y1, 0.125L, -5.19993611253477499595928744876579921L);
4711 TEST_f_f (y1, 0.75L, -1.03759455076928541973767132140642198L);
4712 TEST_f_f (y1, 1.0, -0.781212821300288716547150000047964821L);
4713 TEST_f_f (y1, 1.5, -0.412308626973911295952829820633445323L);
4714 TEST_f_f (y1, 2.0, -0.107032431540937546888370772277476637L);
4715 TEST_f_f (y1, 8.0, -0.158060461731247494255555266187483550L);
4716 TEST_f_f (y1, 10.0, 0.249015424206953883923283474663222803L);
4728 FUNC (sincos) (0, &s, &c);
4729 if (errno == ENOSYS)
4730 /* Required function not implemented. */
4734 if (errno == ENOSYS)
4735 /* Function not implemented. */
4738 /* yn is the Bessel function of the second kind of order n */
4741 /* yn (0, x) == y0 (x) */
4742 TEST_ff_f (yn, 0, -1.0, minus_infty, INVALID_EXCEPTION);
4743 TEST_ff_f (yn, 0, 0.0, minus_infty);
4744 TEST_ff_f (yn, 0, nan_value, nan_value);
4745 TEST_ff_f (yn, 0, plus_infty, 0);
4747 TEST_ff_f (yn, 0, 0.125L, -1.38968062514384052915582277745018693L);
4748 TEST_ff_f (yn, 0, 0.75L, -0.137172769385772397522814379396581855L);
4749 TEST_ff_f (yn, 0, 1.0, 0.0882569642156769579829267660235151628L);
4750 TEST_ff_f (yn, 0, 1.5, 0.382448923797758843955068554978089862L);
4751 TEST_ff_f (yn, 0, 2.0, 0.510375672649745119596606592727157873L);
4752 TEST_ff_f (yn, 0, 8.0, 0.223521489387566220527323400498620359L);
4753 TEST_ff_f (yn, 0, 10.0, 0.0556711672835993914244598774101900481L);
4755 /* yn (1, x) == y1 (x) */
4756 TEST_ff_f (yn, 1, -1.0, minus_infty, INVALID_EXCEPTION);
4757 TEST_ff_f (yn, 1, 0.0, minus_infty);
4758 TEST_ff_f (yn, 1, plus_infty, 0);
4759 TEST_ff_f (yn, 1, nan_value, nan_value);
4761 TEST_ff_f (yn, 1, 0.125L, -5.19993611253477499595928744876579921L);
4762 TEST_ff_f (yn, 1, 0.75L, -1.03759455076928541973767132140642198L);
4763 TEST_ff_f (yn, 1, 1.0, -0.781212821300288716547150000047964821L);
4764 TEST_ff_f (yn, 1, 1.5, -0.412308626973911295952829820633445323L);
4765 TEST_ff_f (yn, 1, 2.0, -0.107032431540937546888370772277476637L);
4766 TEST_ff_f (yn, 1, 8.0, -0.158060461731247494255555266187483550L);
4767 TEST_ff_f (yn, 1, 10.0, 0.249015424206953883923283474663222803L);
4770 TEST_ff_f (yn, 3, plus_infty, 0);
4771 TEST_ff_f (yn, 3, nan_value, nan_value);
4773 TEST_ff_f (yn, 3, 0.125L, -2612.69757350066712600220955744091741L);
4774 TEST_ff_f (yn, 3, 0.75L, -12.9877176234475433186319774484809207L);
4775 TEST_ff_f (yn, 3, 1.0, -5.82151760596472884776175706442981440L);
4776 TEST_ff_f (yn, 3, 2.0, -1.12778377684042778608158395773179238L);
4777 TEST_ff_f (yn, 3, 10.0, -0.251362657183837329779204747654240998L);
4780 TEST_ff_f (yn, 10, plus_infty, 0);
4781 TEST_ff_f (yn, 10, nan_value, nan_value);
4783 TEST_ff_f (yn, 10, 0.125L, -127057845771019398.252538486899753195L);
4784 TEST_ff_f (yn, 10, 0.75L, -2133501638.90573424452445412893839236L);
4785 TEST_ff_f (yn, 10, 1.0, -121618014.278689189288130426667971145L);
4786 TEST_ff_f (yn, 10, 2.0, -129184.542208039282635913145923304214L);
4787 TEST_ff_f (yn, 10, 10.0, -0.359814152183402722051986577343560609L);
4795 significand_test (void)
4797 /* significand returns the mantissa of the exponential representation. */
4798 START (significand);
4800 TEST_f_f (significand, 4.0, 1.0);
4801 TEST_f_f (significand, 6.0, 1.5);
4802 TEST_f_f (significand, 8.0, 1.0);
4811 fpstack_test ("start *init*");
4813 nan_value = plus_zero / plus_zero; /* Suppress GCC warning */
4815 minus_zero = FUNC(copysign) (0.0, -1.0);
4816 plus_infty = CHOOSE (HUGE_VALL, HUGE_VAL, HUGE_VALF,
4817 HUGE_VALL, HUGE_VAL, HUGE_VALF);
4818 minus_infty = CHOOSE (-HUGE_VALL, -HUGE_VAL, -HUGE_VALF,
4819 -HUGE_VALL, -HUGE_VAL, -HUGE_VALF);
4820 max_value = CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX,
4821 LDBL_MAX, DBL_MAX, FLT_MAX);
4822 min_value = CHOOSE (LDBL_MIN, DBL_MIN, FLT_MIN,
4823 LDBL_MIN, DBL_MIN, FLT_MIN);
4829 (void) &minus_infty;
4833 /* Clear all exceptions. From now on we must not get random exceptions. */
4834 feclearexcept (FE_ALL_EXCEPT);
4836 /* Test to make sure we start correctly. */
4837 fpstack_test ("end *init*");
4841 /* function to check our ulp calculation. */
4848 /* This gives one ulp. */
4849 u = FUNC(nextafter) (10, 20);
4850 check_equal (10.0, u, 1, &diff, &ulp);
4851 printf ("One ulp: % .4" PRINTF_NEXPR "\n", ulp);
4853 /* This gives one more ulp. */
4854 u = FUNC(nextafter) (u, 20);
4855 check_equal (10.0, u, 2, &diff, &ulp);
4856 printf ("two ulp: % .4" PRINTF_NEXPR "\n", ulp);
4858 /* And now calculate 100 ulp. */
4859 for (i = 2; i < 100; i++)
4860 u = FUNC(nextafter) (u, 20);
4861 check_equal (10.0, u, 100, &diff, &ulp);
4862 printf ("100 ulp: % .4" PRINTF_NEXPR "\n", ulp);
4867 main (int argc, char **argv)
4874 output_max_error = 1;
4876 /* XXX set to 0 for releases. */
4879 /* Parse and process arguments. */
4880 while ((key = getopt(argc, argv, "fi:puv")) > 0) {
4884 output_max_error = 0;
4887 if (strcmp (optarg, "yes") == 0)
4889 else if (strcmp (optarg, "no") == 0)
4902 fprintf (stderr, "Unknown argument: %c", key);
4903 exit (EXIT_FAILURE);
4909 fprintf (stderr, "wrong number of arguments");
4910 exit (EXIT_FAILURE);
4915 ulps_file = fopen ("ULPs", "a");
4916 if (ulps_file == NULL)
4918 perror ("can't open file `ULPs' for writing: ");
4931 /* Keep the tests a wee bit ordered (according to ISO C99). */
4932 /* Classification macros: */
4938 /* Trigonometric functions: */
4950 /* Hyperbolic functions: */
4958 /* Exponential and logarithmic functions: */
4981 significand_test ();
4983 /* Power and absolute value functions: */
4990 /* Error and gamma functions: */
4999 /* Nearest integer functions: */
5007 rint_test_tonearest ();
5008 rint_test_towardzero ();
5009 rint_test_downward ();
5010 rint_test_upward ();
5019 /* Remainder functions: */
5026 /* Manipulation functions: */
5032 /* maximum, minimum and positive difference functions */
5037 /* Multiply and add: */
5040 /* Complex functions: */
5068 /* Bessel functions: */
5081 printf ("\nTest suite completed:\n");
5082 printf (" %d test cases plus %d tests for exception flags executed.\n",
5083 noTests, noExcTests);
5085 printf (" %d expected failures occurred.\n", noXFails);
5087 printf (" %d unexpected passes occurred.\n", noXPasses);
5090 printf (" %d errors occurred.\n", noErrors);
5093 printf (" All tests passed successfully.\n");