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);
1003 FUNC(cacos) (BUILD_COMPLEX (0.7L, 1.2L));
1004 if (errno == ENOSYS)
1005 /* Function not implemented. */
1011 TEST_c_c (cacos, 0, 0, M_PI_2l, minus_zero);
1012 TEST_c_c (cacos, minus_zero, 0, M_PI_2l, minus_zero);
1013 TEST_c_c (cacos, minus_zero, minus_zero, M_PI_2l, 0.0);
1014 TEST_c_c (cacos, 0, minus_zero, M_PI_2l, 0.0);
1016 TEST_c_c (cacos, minus_infty, plus_infty, M_PI_34l, minus_infty);
1017 TEST_c_c (cacos, minus_infty, minus_infty, M_PI_34l, plus_infty);
1019 TEST_c_c (cacos, plus_infty, plus_infty, M_PI_4l, minus_infty);
1020 TEST_c_c (cacos, plus_infty, minus_infty, M_PI_4l, plus_infty);
1022 TEST_c_c (cacos, -10.0, plus_infty, M_PI_2l, minus_infty);
1023 TEST_c_c (cacos, -10.0, minus_infty, M_PI_2l, plus_infty);
1024 TEST_c_c (cacos, 0, plus_infty, M_PI_2l, minus_infty);
1025 TEST_c_c (cacos, 0, minus_infty, M_PI_2l, plus_infty);
1026 TEST_c_c (cacos, 0.1L, plus_infty, M_PI_2l, minus_infty);
1027 TEST_c_c (cacos, 0.1L, minus_infty, M_PI_2l, plus_infty);
1029 TEST_c_c (cacos, minus_infty, 0, M_PIl, minus_infty);
1030 TEST_c_c (cacos, minus_infty, minus_zero, M_PIl, plus_infty);
1031 TEST_c_c (cacos, minus_infty, 100, M_PIl, minus_infty);
1032 TEST_c_c (cacos, minus_infty, -100, M_PIl, plus_infty);
1034 TEST_c_c (cacos, plus_infty, 0, 0.0, minus_infty);
1035 TEST_c_c (cacos, plus_infty, minus_zero, 0.0, plus_infty);
1036 TEST_c_c (cacos, plus_infty, 0.5, 0.0, minus_infty);
1037 TEST_c_c (cacos, plus_infty, -0.5, 0.0, plus_infty);
1039 TEST_c_c (cacos, plus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
1040 TEST_c_c (cacos, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
1042 TEST_c_c (cacos, 0, nan_value, M_PI_2l, nan_value);
1043 TEST_c_c (cacos, minus_zero, nan_value, M_PI_2l, nan_value);
1045 TEST_c_c (cacos, nan_value, plus_infty, nan_value, minus_infty);
1046 TEST_c_c (cacos, nan_value, minus_infty, nan_value, plus_infty);
1048 TEST_c_c (cacos, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1049 TEST_c_c (cacos, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1051 TEST_c_c (cacos, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1052 TEST_c_c (cacos, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1054 TEST_c_c (cacos, nan_value, nan_value, nan_value, nan_value);
1056 TEST_c_c (cacos, 0.75L, 1.25L, 1.11752014915610270578240049553777969L, -1.13239363160530819522266333696834467L);
1057 TEST_c_c (cacos, -2, -3, 2.1414491111159960199416055713254211L, 1.9833870299165354323470769028940395L);
1059 END (cacos, complex);
1066 FUNC(cacosh) (BUILD_COMPLEX (0.7L, 1.2L));
1067 if (errno == ENOSYS)
1068 /* Function not implemented. */
1074 TEST_c_c (cacosh, 0, 0, 0.0, M_PI_2l);
1075 TEST_c_c (cacosh, minus_zero, 0, 0.0, M_PI_2l);
1076 TEST_c_c (cacosh, 0, minus_zero, 0.0, -M_PI_2l);
1077 TEST_c_c (cacosh, minus_zero, minus_zero, 0.0, -M_PI_2l);
1078 TEST_c_c (cacosh, minus_infty, plus_infty, plus_infty, M_PI_34l);
1079 TEST_c_c (cacosh, minus_infty, minus_infty, plus_infty, -M_PI_34l);
1081 TEST_c_c (cacosh, plus_infty, plus_infty, plus_infty, M_PI_4l);
1082 TEST_c_c (cacosh, plus_infty, minus_infty, plus_infty, -M_PI_4l);
1084 TEST_c_c (cacosh, -10.0, plus_infty, plus_infty, M_PI_2l);
1085 TEST_c_c (cacosh, -10.0, minus_infty, plus_infty, -M_PI_2l);
1086 TEST_c_c (cacosh, 0, plus_infty, plus_infty, M_PI_2l);
1087 TEST_c_c (cacosh, 0, minus_infty, plus_infty, -M_PI_2l);
1088 TEST_c_c (cacosh, 0.1L, plus_infty, plus_infty, M_PI_2l);
1089 TEST_c_c (cacosh, 0.1L, minus_infty, plus_infty, -M_PI_2l);
1091 TEST_c_c (cacosh, minus_infty, 0, plus_infty, M_PIl);
1092 TEST_c_c (cacosh, minus_infty, minus_zero, plus_infty, -M_PIl);
1093 TEST_c_c (cacosh, minus_infty, 100, plus_infty, M_PIl);
1094 TEST_c_c (cacosh, minus_infty, -100, plus_infty, -M_PIl);
1096 TEST_c_c (cacosh, plus_infty, 0, plus_infty, 0.0);
1097 TEST_c_c (cacosh, plus_infty, minus_zero, plus_infty, minus_zero);
1098 TEST_c_c (cacosh, plus_infty, 0.5, plus_infty, 0.0);
1099 TEST_c_c (cacosh, plus_infty, -0.5, plus_infty, minus_zero);
1101 TEST_c_c (cacosh, plus_infty, nan_value, plus_infty, nan_value);
1102 TEST_c_c (cacosh, minus_infty, nan_value, plus_infty, nan_value);
1104 TEST_c_c (cacosh, 0, nan_value, nan_value, nan_value);
1105 TEST_c_c (cacosh, minus_zero, nan_value, nan_value, nan_value);
1107 TEST_c_c (cacosh, nan_value, plus_infty, plus_infty, nan_value);
1108 TEST_c_c (cacosh, nan_value, minus_infty, plus_infty, nan_value);
1110 TEST_c_c (cacosh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1111 TEST_c_c (cacosh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1113 TEST_c_c (cacosh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1114 TEST_c_c (cacosh, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1116 TEST_c_c (cacosh, nan_value, nan_value, nan_value, nan_value);
1118 TEST_c_c (cacosh, 0.75L, 1.25L, 1.13239363160530819522266333696834467L, 1.11752014915610270578240049553777969L);
1119 TEST_c_c (cacosh, -2, -3, 1.9833870299165354323470769028940395L, -2.1414491111159960199416055713254211L);
1121 END (cacosh, complex);
1130 /* carg (x + iy) is specified as atan2 (y, x) */
1132 /* carg (x + i 0) == 0 for x > 0. */
1133 TEST_c_f (carg, 2.0, 0, 0);
1134 /* carg (x - i 0) == -0 for x > 0. */
1135 TEST_c_f (carg, 2.0, minus_zero, minus_zero);
1137 TEST_c_f (carg, 0, 0, 0);
1138 TEST_c_f (carg, 0, minus_zero, minus_zero);
1140 /* carg (x + i 0) == +pi for x < 0. */
1141 TEST_c_f (carg, -2.0, 0, M_PIl);
1143 /* carg (x - i 0) == -pi for x < 0. */
1144 TEST_c_f (carg, -2.0, minus_zero, -M_PIl);
1146 TEST_c_f (carg, minus_zero, 0, M_PIl);
1147 TEST_c_f (carg, minus_zero, minus_zero, -M_PIl);
1149 /* carg (+0 + i y) == pi/2 for y > 0. */
1150 TEST_c_f (carg, 0, 2.0, M_PI_2l);
1152 /* carg (-0 + i y) == pi/2 for y > 0. */
1153 TEST_c_f (carg, minus_zero, 2.0, M_PI_2l);
1155 /* carg (+0 + i y) == -pi/2 for y < 0. */
1156 TEST_c_f (carg, 0, -2.0, -M_PI_2l);
1158 /* carg (-0 + i y) == -pi/2 for y < 0. */
1159 TEST_c_f (carg, minus_zero, -2.0, -M_PI_2l);
1161 /* carg (inf + i y) == +0 for finite y > 0. */
1162 TEST_c_f (carg, plus_infty, 2.0, 0);
1164 /* carg (inf + i y) == -0 for finite y < 0. */
1165 TEST_c_f (carg, plus_infty, -2.0, minus_zero);
1167 /* carg(x + i inf) == pi/2 for finite x. */
1168 TEST_c_f (carg, 10.0, plus_infty, M_PI_2l);
1170 /* carg(x - i inf) == -pi/2 for finite x. */
1171 TEST_c_f (carg, 10.0, minus_infty, -M_PI_2l);
1173 /* carg (-inf + i y) == +pi for finite y > 0. */
1174 TEST_c_f (carg, minus_infty, 10.0, M_PIl);
1176 /* carg (-inf + i y) == -pi for finite y < 0. */
1177 TEST_c_f (carg, minus_infty, -10.0, -M_PIl);
1179 TEST_c_f (carg, plus_infty, plus_infty, M_PI_4l);
1181 TEST_c_f (carg, plus_infty, minus_infty, -M_PI_4l);
1183 TEST_c_f (carg, minus_infty, plus_infty, 3 * M_PI_4l);
1185 TEST_c_f (carg, minus_infty, minus_infty, -3 * M_PI_4l);
1187 TEST_c_f (carg, nan_value, nan_value, nan_value);
1196 FUNC(casin) (BUILD_COMPLEX (0.7L, 1.2L));
1197 if (errno == ENOSYS)
1198 /* Function not implemented. */
1203 TEST_c_c (casin, 0, 0, 0.0, 0.0);
1204 TEST_c_c (casin, minus_zero, 0, minus_zero, 0.0);
1205 TEST_c_c (casin, 0, minus_zero, 0.0, minus_zero);
1206 TEST_c_c (casin, minus_zero, minus_zero, minus_zero, minus_zero);
1208 TEST_c_c (casin, plus_infty, plus_infty, M_PI_4l, plus_infty);
1209 TEST_c_c (casin, plus_infty, minus_infty, M_PI_4l, minus_infty);
1210 TEST_c_c (casin, minus_infty, plus_infty, -M_PI_4l, plus_infty);
1211 TEST_c_c (casin, minus_infty, minus_infty, -M_PI_4l, minus_infty);
1213 TEST_c_c (casin, -10.0, plus_infty, minus_zero, plus_infty);
1214 TEST_c_c (casin, -10.0, minus_infty, minus_zero, minus_infty);
1215 TEST_c_c (casin, 0, plus_infty, 0.0, plus_infty);
1216 TEST_c_c (casin, 0, minus_infty, 0.0, minus_infty);
1217 TEST_c_c (casin, minus_zero, plus_infty, minus_zero, plus_infty);
1218 TEST_c_c (casin, minus_zero, minus_infty, minus_zero, minus_infty);
1219 TEST_c_c (casin, 0.1L, plus_infty, 0.0, plus_infty);
1220 TEST_c_c (casin, 0.1L, minus_infty, 0.0, minus_infty);
1222 TEST_c_c (casin, minus_infty, 0, -M_PI_2l, plus_infty);
1223 TEST_c_c (casin, minus_infty, minus_zero, -M_PI_2l, minus_infty);
1224 TEST_c_c (casin, minus_infty, 100, -M_PI_2l, plus_infty);
1225 TEST_c_c (casin, minus_infty, -100, -M_PI_2l, minus_infty);
1227 TEST_c_c (casin, plus_infty, 0, M_PI_2l, plus_infty);
1228 TEST_c_c (casin, plus_infty, minus_zero, M_PI_2l, minus_infty);
1229 TEST_c_c (casin, plus_infty, 0.5, M_PI_2l, plus_infty);
1230 TEST_c_c (casin, plus_infty, -0.5, M_PI_2l, minus_infty);
1232 TEST_c_c (casin, nan_value, plus_infty, nan_value, plus_infty);
1233 TEST_c_c (casin, nan_value, minus_infty, nan_value, minus_infty);
1235 TEST_c_c (casin, 0.0, nan_value, 0.0, nan_value);
1236 TEST_c_c (casin, minus_zero, nan_value, minus_zero, nan_value);
1238 TEST_c_c (casin, plus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
1239 TEST_c_c (casin, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
1241 TEST_c_c (casin, nan_value, 10.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1242 TEST_c_c (casin, nan_value, -10.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1244 TEST_c_c (casin, 0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1245 TEST_c_c (casin, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1247 TEST_c_c (casin, nan_value, nan_value, nan_value, nan_value);
1249 TEST_c_c (casin, 0.75L, 1.25L, 0.453276177638793913448921196101971749L, 1.13239363160530819522266333696834467L);
1250 TEST_c_c (casin, -2, -3, -0.57065278432109940071028387968566963L, -1.9833870299165354323470769028940395L);
1252 END (casin, complex);
1260 FUNC(casinh) (BUILD_COMPLEX (0.7L, 1.2L));
1261 if (errno == ENOSYS)
1262 /* Function not implemented. */
1267 TEST_c_c (casinh, 0, 0, 0.0, 0.0);
1268 TEST_c_c (casinh, minus_zero, 0, minus_zero, 0);
1269 TEST_c_c (casinh, 0, minus_zero, 0.0, minus_zero);
1270 TEST_c_c (casinh, minus_zero, minus_zero, minus_zero, minus_zero);
1272 TEST_c_c (casinh, plus_infty, plus_infty, plus_infty, M_PI_4l);
1273 TEST_c_c (casinh, plus_infty, minus_infty, plus_infty, -M_PI_4l);
1274 TEST_c_c (casinh, minus_infty, plus_infty, minus_infty, M_PI_4l);
1275 TEST_c_c (casinh, minus_infty, minus_infty, minus_infty, -M_PI_4l);
1277 TEST_c_c (casinh, -10.0, plus_infty, minus_infty, M_PI_2l);
1278 TEST_c_c (casinh, -10.0, minus_infty, minus_infty, -M_PI_2l);
1279 TEST_c_c (casinh, 0, plus_infty, plus_infty, M_PI_2l);
1280 TEST_c_c (casinh, 0, minus_infty, plus_infty, -M_PI_2l);
1281 TEST_c_c (casinh, minus_zero, plus_infty, minus_infty, M_PI_2l);
1282 TEST_c_c (casinh, minus_zero, minus_infty, minus_infty, -M_PI_2l);
1283 TEST_c_c (casinh, 0.1L, plus_infty, plus_infty, M_PI_2l);
1284 TEST_c_c (casinh, 0.1L, minus_infty, plus_infty, -M_PI_2l);
1286 TEST_c_c (casinh, minus_infty, 0, minus_infty, 0.0);
1287 TEST_c_c (casinh, minus_infty, minus_zero, minus_infty, minus_zero);
1288 TEST_c_c (casinh, minus_infty, 100, minus_infty, 0.0);
1289 TEST_c_c (casinh, minus_infty, -100, minus_infty, minus_zero);
1291 TEST_c_c (casinh, plus_infty, 0, plus_infty, 0.0);
1292 TEST_c_c (casinh, plus_infty, minus_zero, plus_infty, minus_zero);
1293 TEST_c_c (casinh, plus_infty, 0.5, plus_infty, 0.0);
1294 TEST_c_c (casinh, plus_infty, -0.5, plus_infty, minus_zero);
1296 TEST_c_c (casinh, plus_infty, nan_value, plus_infty, nan_value);
1297 TEST_c_c (casinh, minus_infty, nan_value, minus_infty, nan_value);
1299 TEST_c_c (casinh, nan_value, 0, nan_value, 0.0);
1300 TEST_c_c (casinh, nan_value, minus_zero, nan_value, minus_zero);
1302 TEST_c_c (casinh, nan_value, plus_infty, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
1303 TEST_c_c (casinh, nan_value, minus_infty, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
1305 TEST_c_c (casinh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1306 TEST_c_c (casinh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1308 TEST_c_c (casinh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1309 TEST_c_c (casinh, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1311 TEST_c_c (casinh, nan_value, nan_value, nan_value, nan_value);
1313 TEST_c_c (casinh, 0.75L, 1.25L, 1.03171853444778027336364058631006594L, 0.911738290968487636358489564316731207L);
1314 TEST_c_c (casinh, -2, -3, -1.9686379257930962917886650952454982L, -0.96465850440760279204541105949953237L);
1316 END (casinh, complex);
1324 FUNC(catan) (BUILD_COMPLEX (0.7L, 1.2L));
1325 if (errno == ENOSYS)
1326 /* Function not implemented. */
1331 TEST_c_c (catan, 0, 0, 0, 0);
1332 TEST_c_c (catan, minus_zero, 0, minus_zero, 0);
1333 TEST_c_c (catan, 0, minus_zero, 0, minus_zero);
1334 TEST_c_c (catan, minus_zero, minus_zero, minus_zero, minus_zero);
1336 TEST_c_c (catan, plus_infty, plus_infty, M_PI_2l, 0);
1337 TEST_c_c (catan, plus_infty, minus_infty, M_PI_2l, minus_zero);
1338 TEST_c_c (catan, minus_infty, plus_infty, -M_PI_2l, 0);
1339 TEST_c_c (catan, minus_infty, minus_infty, -M_PI_2l, minus_zero);
1342 TEST_c_c (catan, plus_infty, -10.0, M_PI_2l, minus_zero);
1343 TEST_c_c (catan, minus_infty, -10.0, -M_PI_2l, minus_zero);
1344 TEST_c_c (catan, plus_infty, minus_zero, M_PI_2l, minus_zero);
1345 TEST_c_c (catan, minus_infty, minus_zero, -M_PI_2l, minus_zero);
1346 TEST_c_c (catan, plus_infty, 0.0, M_PI_2l, 0);
1347 TEST_c_c (catan, minus_infty, 0.0, -M_PI_2l, 0);
1348 TEST_c_c (catan, plus_infty, 0.1L, M_PI_2l, 0);
1349 TEST_c_c (catan, minus_infty, 0.1L, -M_PI_2l, 0);
1351 TEST_c_c (catan, 0.0, minus_infty, M_PI_2l, minus_zero);
1352 TEST_c_c (catan, minus_zero, minus_infty, -M_PI_2l, minus_zero);
1353 TEST_c_c (catan, 100.0, minus_infty, M_PI_2l, minus_zero);
1354 TEST_c_c (catan, -100.0, minus_infty, -M_PI_2l, minus_zero);
1356 TEST_c_c (catan, 0.0, plus_infty, M_PI_2l, 0);
1357 TEST_c_c (catan, minus_zero, plus_infty, -M_PI_2l, 0);
1358 TEST_c_c (catan, 0.5, plus_infty, M_PI_2l, 0);
1359 TEST_c_c (catan, -0.5, plus_infty, -M_PI_2l, 0);
1361 TEST_c_c (catan, nan_value, 0.0, nan_value, 0);
1362 TEST_c_c (catan, nan_value, minus_zero, nan_value, minus_zero);
1364 TEST_c_c (catan, nan_value, plus_infty, nan_value, 0);
1365 TEST_c_c (catan, nan_value, minus_infty, nan_value, minus_zero);
1367 TEST_c_c (catan, 0.0, nan_value, nan_value, nan_value);
1368 TEST_c_c (catan, minus_zero, nan_value, nan_value, nan_value);
1370 TEST_c_c (catan, plus_infty, nan_value, M_PI_2l, 0, IGNORE_ZERO_INF_SIGN);
1371 TEST_c_c (catan, minus_infty, nan_value, -M_PI_2l, 0, IGNORE_ZERO_INF_SIGN);
1373 TEST_c_c (catan, nan_value, 10.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1374 TEST_c_c (catan, nan_value, -10.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1376 TEST_c_c (catan, 0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1377 TEST_c_c (catan, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1379 TEST_c_c (catan, nan_value, nan_value, nan_value, nan_value);
1381 TEST_c_c (catan, 0.75L, 1.25L, 1.10714871779409050301706546017853704L, 0.549306144334054845697622618461262852L);
1382 TEST_c_c (catan, -2, -3, -1.4099210495965755225306193844604208L, -0.22907268296853876629588180294200276L);
1384 END (catan, complex);
1391 FUNC(catanh) (BUILD_COMPLEX (0.7L, 1.2L));
1392 if (errno == ENOSYS)
1393 /* Function not implemented. */
1398 TEST_c_c (catanh, 0, 0, 0.0, 0.0);
1399 TEST_c_c (catanh, minus_zero, 0, minus_zero, 0.0);
1400 TEST_c_c (catanh, 0, minus_zero, 0.0, minus_zero);
1401 TEST_c_c (catanh, minus_zero, minus_zero, minus_zero, minus_zero);
1403 TEST_c_c (catanh, plus_infty, plus_infty, 0.0, M_PI_2l);
1404 TEST_c_c (catanh, plus_infty, minus_infty, 0.0, -M_PI_2l);
1405 TEST_c_c (catanh, minus_infty, plus_infty, minus_zero, M_PI_2l);
1406 TEST_c_c (catanh, minus_infty, minus_infty, minus_zero, -M_PI_2l);
1408 TEST_c_c (catanh, -10.0, plus_infty, minus_zero, M_PI_2l);
1409 TEST_c_c (catanh, -10.0, minus_infty, minus_zero, -M_PI_2l);
1410 TEST_c_c (catanh, minus_zero, plus_infty, minus_zero, M_PI_2l);
1411 TEST_c_c (catanh, minus_zero, minus_infty, minus_zero, -M_PI_2l);
1412 TEST_c_c (catanh, 0, plus_infty, 0.0, M_PI_2l);
1413 TEST_c_c (catanh, 0, minus_infty, 0.0, -M_PI_2l);
1414 TEST_c_c (catanh, 0.1L, plus_infty, 0.0, M_PI_2l);
1415 TEST_c_c (catanh, 0.1L, minus_infty, 0.0, -M_PI_2l);
1417 TEST_c_c (catanh, minus_infty, 0, minus_zero, M_PI_2l);
1418 TEST_c_c (catanh, minus_infty, minus_zero, minus_zero, -M_PI_2l);
1419 TEST_c_c (catanh, minus_infty, 100, minus_zero, M_PI_2l);
1420 TEST_c_c (catanh, minus_infty, -100, minus_zero, -M_PI_2l);
1422 TEST_c_c (catanh, plus_infty, 0, 0.0, M_PI_2l);
1423 TEST_c_c (catanh, plus_infty, minus_zero, 0.0, -M_PI_2l);
1424 TEST_c_c (catanh, plus_infty, 0.5, 0.0, M_PI_2l);
1425 TEST_c_c (catanh, plus_infty, -0.5, 0.0, -M_PI_2l);
1427 TEST_c_c (catanh, 0, nan_value, 0.0, nan_value);
1428 TEST_c_c (catanh, minus_zero, nan_value, minus_zero, nan_value);
1430 TEST_c_c (catanh, plus_infty, nan_value, 0.0, nan_value);
1431 TEST_c_c (catanh, minus_infty, nan_value, minus_zero, nan_value);
1433 TEST_c_c (catanh, nan_value, 0, nan_value, nan_value);
1434 TEST_c_c (catanh, nan_value, minus_zero, nan_value, nan_value);
1436 TEST_c_c (catanh, nan_value, plus_infty, 0.0, M_PI_2l, IGNORE_ZERO_INF_SIGN);
1437 TEST_c_c (catanh, nan_value, minus_infty, 0.0, -M_PI_2l, IGNORE_ZERO_INF_SIGN);
1439 TEST_c_c (catanh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1440 TEST_c_c (catanh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1442 TEST_c_c (catanh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1443 TEST_c_c (catanh, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK);
1445 TEST_c_c (catanh, nan_value, nan_value, nan_value, nan_value);
1447 TEST_c_c (catanh, 0.75L, 1.25L, 0.261492138795671927078652057366532140L, 0.996825126463918666098902241310446708L);
1448 TEST_c_c (catanh, -2, -3, -0.14694666622552975204743278515471595L, -1.3389725222944935611241935759091443L);
1450 END (catanh, complex);
1458 if (errno == ENOSYS)
1459 /* Function not implemented. */
1464 TEST_f_f (cbrt, 0.0, 0.0);
1465 TEST_f_f (cbrt, minus_zero, minus_zero);
1467 TEST_f_f (cbrt, plus_infty, plus_infty);
1468 TEST_f_f (cbrt, minus_infty, minus_infty);
1469 TEST_f_f (cbrt, nan_value, nan_value);
1471 TEST_f_f (cbrt, -0.001L, -0.1L);
1472 TEST_f_f (cbrt, 8, 2);
1473 TEST_f_f (cbrt, -27.0, -3.0);
1474 TEST_f_f (cbrt, 0.9921875L, 0.997389022060725270579075195353955217L);
1475 TEST_f_f (cbrt, 0.75L, 0.908560296416069829445605878163630251L);
1485 FUNC(ccos) (BUILD_COMPLEX (0, 0));
1486 if (errno == ENOSYS)
1487 /* Function not implemented. */
1492 TEST_c_c (ccos, 0.0, 0.0, 1.0, minus_zero);
1493 TEST_c_c (ccos, minus_zero, 0.0, 1.0, 0.0);
1494 TEST_c_c (ccos, 0.0, minus_zero, 1.0, 0.0);
1495 TEST_c_c (ccos, minus_zero, minus_zero, 1.0, minus_zero);
1497 TEST_c_c (ccos, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1498 TEST_c_c (ccos, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1499 TEST_c_c (ccos, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1500 TEST_c_c (ccos, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1502 TEST_c_c (ccos, 0.0, plus_infty, plus_infty, minus_zero);
1503 TEST_c_c (ccos, 0.0, minus_infty, plus_infty, 0.0);
1504 TEST_c_c (ccos, minus_zero, plus_infty, plus_infty, 0.0);
1505 TEST_c_c (ccos, minus_zero, minus_infty, plus_infty, minus_zero);
1507 TEST_c_c (ccos, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1508 TEST_c_c (ccos, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1509 TEST_c_c (ccos, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1510 TEST_c_c (ccos, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1512 TEST_c_c (ccos, 4.625, plus_infty, minus_infty, plus_infty);
1513 TEST_c_c (ccos, 4.625, minus_infty, minus_infty, minus_infty);
1514 TEST_c_c (ccos, -4.625, plus_infty, minus_infty, minus_infty);
1515 TEST_c_c (ccos, -4.625, minus_infty, minus_infty, plus_infty);
1517 TEST_c_c (ccos, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
1518 TEST_c_c (ccos, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
1519 TEST_c_c (ccos, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
1520 TEST_c_c (ccos, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
1522 TEST_c_c (ccos, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1523 TEST_c_c (ccos, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1525 TEST_c_c (ccos, nan_value, plus_infty, plus_infty, nan_value);
1526 TEST_c_c (ccos, nan_value, minus_infty, plus_infty, nan_value);
1528 TEST_c_c (ccos, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1529 TEST_c_c (ccos, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1531 TEST_c_c (ccos, 0.0, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1532 TEST_c_c (ccos, minus_zero, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1534 TEST_c_c (ccos, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1535 TEST_c_c (ccos, -10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1537 TEST_c_c (ccos, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1538 TEST_c_c (ccos, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1540 TEST_c_c (ccos, nan_value, nan_value, nan_value, nan_value);
1542 TEST_c_c (ccos, 0.75L, 1.25L, 1.38173873063425888530729933139078645L, -1.09193013555397466170919531722024128L);
1543 TEST_c_c (ccos, -2, -3, -4.18962569096880723013255501961597373L, -9.10922789375533659797919726277886212L);
1545 END (ccos, complex);
1553 FUNC(ccosh) (BUILD_COMPLEX (0.7L, 1.2L));
1554 if (errno == ENOSYS)
1555 /* Function not implemented. */
1560 TEST_c_c (ccosh, 0.0, 0.0, 1.0, 0.0);
1561 TEST_c_c (ccosh, minus_zero, 0.0, 1.0, minus_zero);
1562 TEST_c_c (ccosh, 0.0, minus_zero, 1.0, minus_zero);
1563 TEST_c_c (ccosh, minus_zero, minus_zero, 1.0, 0.0);
1565 TEST_c_c (ccosh, 0.0, plus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1566 TEST_c_c (ccosh, minus_zero, plus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1567 TEST_c_c (ccosh, 0.0, minus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1568 TEST_c_c (ccosh, minus_zero, minus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1570 TEST_c_c (ccosh, plus_infty, 0.0, plus_infty, 0.0);
1571 TEST_c_c (ccosh, minus_infty, 0.0, plus_infty, minus_zero);
1572 TEST_c_c (ccosh, plus_infty, minus_zero, plus_infty, minus_zero);
1573 TEST_c_c (ccosh, minus_infty, minus_zero, plus_infty, 0.0);
1575 TEST_c_c (ccosh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1576 TEST_c_c (ccosh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1577 TEST_c_c (ccosh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1578 TEST_c_c (ccosh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1580 TEST_c_c (ccosh, plus_infty, 4.625, minus_infty, minus_infty);
1581 TEST_c_c (ccosh, minus_infty, 4.625, minus_infty, plus_infty);
1582 TEST_c_c (ccosh, plus_infty, -4.625, minus_infty, plus_infty);
1583 TEST_c_c (ccosh, minus_infty, -4.625, minus_infty, minus_infty);
1585 TEST_c_c (ccosh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1586 TEST_c_c (ccosh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1587 TEST_c_c (ccosh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1588 TEST_c_c (ccosh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1590 TEST_c_c (ccosh, 0.0, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1591 TEST_c_c (ccosh, minus_zero, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1593 TEST_c_c (ccosh, plus_infty, nan_value, plus_infty, nan_value);
1594 TEST_c_c (ccosh, minus_infty, nan_value, plus_infty, nan_value);
1596 TEST_c_c (ccosh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1597 TEST_c_c (ccosh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1599 TEST_c_c (ccosh, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1600 TEST_c_c (ccosh, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1602 TEST_c_c (ccosh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1603 TEST_c_c (ccosh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1605 TEST_c_c (ccosh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1606 TEST_c_c (ccosh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1608 TEST_c_c (ccosh, nan_value, nan_value, nan_value, nan_value);
1610 TEST_c_c (ccosh, 0.75L, 1.25L, 0.408242591877968807788852146397499084L, 0.780365930845853240391326216300863152L);
1612 TEST_c_c (ccosh, -2, -3, -3.72454550491532256547397070325597253L, 0.511822569987384608834463849801875634L);
1614 END (ccosh, complex);
1623 TEST_f_f (ceil, 0.0, 0.0);
1624 TEST_f_f (ceil, minus_zero, minus_zero);
1625 TEST_f_f (ceil, plus_infty, plus_infty);
1626 TEST_f_f (ceil, minus_infty, minus_infty);
1627 TEST_f_f (ceil, nan_value, nan_value);
1629 TEST_f_f (ceil, M_PIl, 4.0);
1630 TEST_f_f (ceil, -M_PIl, -3.0);
1631 TEST_f_f (ceil, 0.25, 1.0);
1632 TEST_f_f (ceil, -0.25, minus_zero);
1635 /* The result can only be represented in long double. */
1636 TEST_f_f (ceil, 4503599627370495.5L, 4503599627370496.0L);
1637 TEST_f_f (ceil, 4503599627370496.25L, 4503599627370497.0L);
1638 TEST_f_f (ceil, 4503599627370496.5L, 4503599627370497.0L);
1639 TEST_f_f (ceil, 4503599627370496.75L, 4503599627370497.0L);
1640 TEST_f_f (ceil, 4503599627370497.5L, 4503599627370498.0L);
1642 TEST_f_f (ceil, -4503599627370495.5L, -4503599627370495.0L);
1643 TEST_f_f (ceil, -4503599627370496.25L, -4503599627370496.0L);
1644 TEST_f_f (ceil, -4503599627370496.5L, -4503599627370496.0L);
1645 TEST_f_f (ceil, -4503599627370496.75L, -4503599627370496.0L);
1646 TEST_f_f (ceil, -4503599627370497.5L, -4503599627370497.0L);
1648 TEST_f_f (ceil, 9007199254740991.5L, 9007199254740992.0L);
1649 TEST_f_f (ceil, 9007199254740992.25L, 9007199254740993.0L);
1650 TEST_f_f (ceil, 9007199254740992.5L, 9007199254740993.0L);
1651 TEST_f_f (ceil, 9007199254740992.75L, 9007199254740993.0L);
1652 TEST_f_f (ceil, 9007199254740993.5L, 9007199254740994.0L);
1654 TEST_f_f (ceil, -9007199254740991.5L, -9007199254740991.0L);
1655 TEST_f_f (ceil, -9007199254740992.25L, -9007199254740992.0L);
1656 TEST_f_f (ceil, -9007199254740992.5L, -9007199254740992.0L);
1657 TEST_f_f (ceil, -9007199254740992.75L, -9007199254740992.0L);
1658 TEST_f_f (ceil, -9007199254740993.5L, -9007199254740993.0L);
1660 TEST_f_f (ceil, 72057594037927935.5L, 72057594037927936.0L);
1661 TEST_f_f (ceil, 72057594037927936.25L, 72057594037927937.0L);
1662 TEST_f_f (ceil, 72057594037927936.5L, 72057594037927937.0L);
1663 TEST_f_f (ceil, 72057594037927936.75L, 72057594037927937.0L);
1664 TEST_f_f (ceil, 72057594037927937.5L, 72057594037927938.0L);
1666 TEST_f_f (ceil, -72057594037927935.5L, -72057594037927935.0L);
1667 TEST_f_f (ceil, -72057594037927936.25L, -72057594037927936.0L);
1668 TEST_f_f (ceil, -72057594037927936.5L, -72057594037927936.0L);
1669 TEST_f_f (ceil, -72057594037927936.75L, -72057594037927936.0L);
1670 TEST_f_f (ceil, -72057594037927937.5L, -72057594037927937.0L);
1672 TEST_f_f (ceil, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
1673 TEST_f_f (ceil, 10141204801825835211973625643008.25L, 10141204801825835211973625643009.0L);
1674 TEST_f_f (ceil, 10141204801825835211973625643008.5L, 10141204801825835211973625643009.0L);
1675 TEST_f_f (ceil, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
1676 TEST_f_f (ceil, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
1687 FUNC(cexp) (BUILD_COMPLEX (0, 0));
1688 if (errno == ENOSYS)
1689 /* Function not implemented. */
1694 TEST_c_c (cexp, plus_zero, plus_zero, 1, 0.0);
1695 TEST_c_c (cexp, minus_zero, plus_zero, 1, 0.0);
1696 TEST_c_c (cexp, plus_zero, minus_zero, 1, minus_zero);
1697 TEST_c_c (cexp, minus_zero, minus_zero, 1, minus_zero);
1699 TEST_c_c (cexp, plus_infty, plus_zero, plus_infty, 0.0);
1700 TEST_c_c (cexp, plus_infty, minus_zero, plus_infty, minus_zero);
1702 TEST_c_c (cexp, minus_infty, plus_zero, 0.0, 0.0);
1703 TEST_c_c (cexp, minus_infty, minus_zero, 0.0, minus_zero);
1705 TEST_c_c (cexp, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1706 TEST_c_c (cexp, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1708 TEST_c_c (cexp, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1709 TEST_c_c (cexp, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1711 TEST_c_c (cexp, 100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1712 TEST_c_c (cexp, -100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1714 TEST_c_c (cexp, 100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1715 TEST_c_c (cexp, -100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1717 TEST_c_c (cexp, minus_infty, 2.0, minus_zero, 0.0);
1718 TEST_c_c (cexp, minus_infty, 4.0, minus_zero, minus_zero);
1719 TEST_c_c (cexp, plus_infty, 2.0, minus_infty, plus_infty);
1720 TEST_c_c (cexp, plus_infty, 4.0, minus_infty, minus_infty);
1722 TEST_c_c (cexp, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1723 TEST_c_c (cexp, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1725 TEST_c_c (cexp, minus_infty, plus_infty, 0.0, 0.0, IGNORE_ZERO_INF_SIGN);
1726 TEST_c_c (cexp, minus_infty, minus_infty, 0.0, minus_zero, IGNORE_ZERO_INF_SIGN);
1728 TEST_c_c (cexp, minus_infty, nan_value, 0, 0, IGNORE_ZERO_INF_SIGN);
1730 TEST_c_c (cexp, plus_infty, nan_value, plus_infty, nan_value);
1732 TEST_c_c (cexp, nan_value, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1733 TEST_c_c (cexp, nan_value, 1.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1735 TEST_c_c (cexp, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1736 TEST_c_c (cexp, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1737 TEST_c_c (cexp, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1738 TEST_c_c (cexp, nan_value, nan_value, nan_value, nan_value);
1740 TEST_c_c (cexp, 0.75L, 1.25L, 0.667537446429131586942201977015932112L, 2.00900045494094876258347228145863909L);
1741 TEST_c_c (cexp, -2.0, -3.0, -0.13398091492954261346140525546115575L, -0.019098516261135196432576240858800925L);
1743 END (cexp, complex);
1751 TEST_c_f (cimag, 1.0, 0.0, 0.0);
1752 TEST_c_f (cimag, 1.0, minus_zero, minus_zero);
1753 TEST_c_f (cimag, 1.0, nan_value, nan_value);
1754 TEST_c_f (cimag, nan_value, nan_value, nan_value);
1755 TEST_c_f (cimag, 1.0, plus_infty, plus_infty);
1756 TEST_c_f (cimag, 1.0, minus_infty, minus_infty);
1757 TEST_c_f (cimag, 2.0, 3.0, 3.0);
1766 FUNC(clog) (BUILD_COMPLEX (-2, -3));
1767 if (errno == ENOSYS)
1768 /* Function not implemented. */
1773 TEST_c_c (clog, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1774 TEST_c_c (clog, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1776 TEST_c_c (clog, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION);
1777 TEST_c_c (clog, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION);
1779 TEST_c_c (clog, minus_infty, plus_infty, plus_infty, M_PI_34l);
1780 TEST_c_c (clog, minus_infty, minus_infty, plus_infty, -M_PI_34l);
1782 TEST_c_c (clog, plus_infty, plus_infty, plus_infty, M_PI_4l);
1783 TEST_c_c (clog, plus_infty, minus_infty, plus_infty, -M_PI_4l);
1785 TEST_c_c (clog, 0, plus_infty, plus_infty, M_PI_2l);
1786 TEST_c_c (clog, 3, plus_infty, plus_infty, M_PI_2l);
1787 TEST_c_c (clog, minus_zero, plus_infty, plus_infty, M_PI_2l);
1788 TEST_c_c (clog, -3, plus_infty, plus_infty, M_PI_2l);
1789 TEST_c_c (clog, 0, minus_infty, plus_infty, -M_PI_2l);
1790 TEST_c_c (clog, 3, minus_infty, plus_infty, -M_PI_2l);
1791 TEST_c_c (clog, minus_zero, minus_infty, plus_infty, -M_PI_2l);
1792 TEST_c_c (clog, -3, minus_infty, plus_infty, -M_PI_2l);
1794 TEST_c_c (clog, minus_infty, 0, plus_infty, M_PIl);
1795 TEST_c_c (clog, minus_infty, 1, plus_infty, M_PIl);
1796 TEST_c_c (clog, minus_infty, minus_zero, plus_infty, -M_PIl);
1797 TEST_c_c (clog, minus_infty, -1, plus_infty, -M_PIl);
1799 TEST_c_c (clog, plus_infty, 0, plus_infty, 0.0);
1800 TEST_c_c (clog, plus_infty, 1, plus_infty, 0.0);
1801 TEST_c_c (clog, plus_infty, minus_zero, plus_infty, minus_zero);
1802 TEST_c_c (clog, plus_infty, -1, plus_infty, minus_zero);
1804 TEST_c_c (clog, plus_infty, nan_value, plus_infty, nan_value);
1805 TEST_c_c (clog, minus_infty, nan_value, plus_infty, nan_value);
1807 TEST_c_c (clog, nan_value, plus_infty, plus_infty, nan_value);
1808 TEST_c_c (clog, nan_value, minus_infty, plus_infty, nan_value);
1810 TEST_c_c (clog, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1811 TEST_c_c (clog, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1812 TEST_c_c (clog, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1813 TEST_c_c (clog, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1815 TEST_c_c (clog, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1816 TEST_c_c (clog, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1817 TEST_c_c (clog, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
1818 TEST_c_c (clog, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1820 TEST_c_c (clog, nan_value, nan_value, nan_value, nan_value);
1822 TEST_c_c (clog, 0.75L, 1.25L, 0.376885901188190075998919126749298416L, 1.03037682652431246378774332703115153L);
1823 TEST_c_c (clog, -2, -3, 1.2824746787307683680267437207826593L, -2.1587989303424641704769327722648368L);
1825 END (clog, complex);
1833 FUNC(clog10) (BUILD_COMPLEX (0.7L, 1.2L));
1834 if (errno == ENOSYS)
1835 /* Function not implemented. */
1840 TEST_c_c (clog10, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1841 TEST_c_c (clog10, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1843 TEST_c_c (clog10, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION);
1844 TEST_c_c (clog10, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION);
1846 TEST_c_c (clog10, minus_infty, plus_infty, plus_infty, M_PI_34_LOG10El);
1848 TEST_c_c (clog10, plus_infty, plus_infty, plus_infty, M_PI4_LOG10El);
1849 TEST_c_c (clog10, plus_infty, minus_infty, plus_infty, -M_PI4_LOG10El);
1851 TEST_c_c (clog10, 0, plus_infty, plus_infty, M_PI2_LOG10El);
1852 TEST_c_c (clog10, 3, plus_infty, plus_infty, M_PI2_LOG10El);
1853 TEST_c_c (clog10, minus_zero, plus_infty, plus_infty, M_PI2_LOG10El);
1854 TEST_c_c (clog10, -3, plus_infty, plus_infty, M_PI2_LOG10El);
1855 TEST_c_c (clog10, 0, minus_infty, plus_infty, -M_PI2_LOG10El);
1856 TEST_c_c (clog10, 3, minus_infty, plus_infty, -M_PI2_LOG10El);
1857 TEST_c_c (clog10, minus_zero, minus_infty, plus_infty, -M_PI2_LOG10El);
1858 TEST_c_c (clog10, -3, minus_infty, plus_infty, -M_PI2_LOG10El);
1860 TEST_c_c (clog10, minus_infty, 0, plus_infty, M_PI_LOG10El);
1861 TEST_c_c (clog10, minus_infty, 1, plus_infty, M_PI_LOG10El);
1862 TEST_c_c (clog10, minus_infty, minus_zero, plus_infty, -M_PI_LOG10El);
1863 TEST_c_c (clog10, minus_infty, -1, plus_infty, -M_PI_LOG10El);
1865 TEST_c_c (clog10, plus_infty, 0, plus_infty, 0.0);
1866 TEST_c_c (clog10, plus_infty, 1, plus_infty, 0.0);
1867 TEST_c_c (clog10, plus_infty, minus_zero, plus_infty, minus_zero);
1868 TEST_c_c (clog10, plus_infty, -1, plus_infty, minus_zero);
1870 TEST_c_c (clog10, plus_infty, nan_value, plus_infty, nan_value);
1871 TEST_c_c (clog10, minus_infty, nan_value, plus_infty, nan_value);
1873 TEST_c_c (clog10, nan_value, plus_infty, plus_infty, nan_value);
1874 TEST_c_c (clog10, nan_value, minus_infty, plus_infty, nan_value);
1876 TEST_c_c (clog10, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1877 TEST_c_c (clog10, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1878 TEST_c_c (clog10, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1879 TEST_c_c (clog10, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1881 TEST_c_c (clog10, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1882 TEST_c_c (clog10, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1883 TEST_c_c (clog10, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
1884 TEST_c_c (clog10, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1886 TEST_c_c (clog10, nan_value, nan_value, nan_value, nan_value);
1888 TEST_c_c (clog10, 0.75L, 1.25L, 0.163679467193165171449476605077428975L, 0.447486970040493067069984724340855636L);
1889 TEST_c_c (clog10, -2, -3, 0.556971676153418384603252578971164214L, -0.937554462986374708541507952140189646L);
1891 END (clog10, complex);
1899 TEST_c_c (conj, 0.0, 0.0, 0.0, minus_zero);
1900 TEST_c_c (conj, 0.0, minus_zero, 0.0, 0.0);
1901 TEST_c_c (conj, nan_value, nan_value, nan_value, nan_value);
1902 TEST_c_c (conj, plus_infty, minus_infty, plus_infty, plus_infty);
1903 TEST_c_c (conj, plus_infty, plus_infty, plus_infty, minus_infty);
1904 TEST_c_c (conj, 1.0, 2.0, 1.0, -2.0);
1905 TEST_c_c (conj, 3.0, -4.0, 3.0, 4.0);
1907 END (conj, complex);
1912 copysign_test (void)
1916 TEST_ff_f (copysign, 0, 4, 0);
1917 TEST_ff_f (copysign, 0, -4, minus_zero);
1918 TEST_ff_f (copysign, minus_zero, 4, 0);
1919 TEST_ff_f (copysign, minus_zero, -4, minus_zero);
1921 TEST_ff_f (copysign, plus_infty, 0, plus_infty);
1922 TEST_ff_f (copysign, plus_infty, minus_zero, minus_infty);
1923 TEST_ff_f (copysign, minus_infty, 0, plus_infty);
1924 TEST_ff_f (copysign, minus_infty, minus_zero, minus_infty);
1926 TEST_ff_f (copysign, 0, plus_infty, 0);
1927 TEST_ff_f (copysign, 0, minus_zero, minus_zero);
1928 TEST_ff_f (copysign, minus_zero, plus_infty, 0);
1929 TEST_ff_f (copysign, minus_zero, minus_zero, minus_zero);
1931 /* XXX More correctly we would have to check the sign of the NaN. */
1932 TEST_ff_f (copysign, nan_value, 0, nan_value);
1933 TEST_ff_f (copysign, nan_value, minus_zero, nan_value);
1934 TEST_ff_f (copysign, -nan_value, 0, nan_value);
1935 TEST_ff_f (copysign, -nan_value, minus_zero, nan_value);
1946 if (errno == ENOSYS)
1947 /* Function not implemented. */
1952 TEST_f_f (cos, 0, 1);
1953 TEST_f_f (cos, minus_zero, 1);
1954 TEST_f_f (cos, plus_infty, nan_value, INVALID_EXCEPTION);
1955 TEST_f_f (cos, minus_infty, nan_value, INVALID_EXCEPTION);
1956 TEST_f_f (cos, nan_value, nan_value);
1958 TEST_f_f (cos, M_PI_6l * 2.0, 0.5);
1959 TEST_f_f (cos, M_PI_6l * 4.0, -0.5);
1960 TEST_f_f (cos, M_PI_2l, 0);
1962 TEST_f_f (cos, 0.75L, 0.731688868873820886311838753000084544L);
1965 TEST_f_f (cos, 0.80190127184058835, 0.69534156199418473);
1977 if (errno == ENOSYS)
1978 /* Function not implemented. */
1982 TEST_f_f (cosh, 0, 1);
1983 TEST_f_f (cosh, minus_zero, 1);
1986 TEST_f_f (cosh, plus_infty, plus_infty);
1987 TEST_f_f (cosh, minus_infty, plus_infty);
1989 TEST_f_f (cosh, nan_value, nan_value);
1991 TEST_f_f (cosh, 0.75L, 1.29468328467684468784170818539018176L);
2001 FUNC(cpow) (BUILD_COMPLEX (1, 0), BUILD_COMPLEX (0, 0));
2002 if (errno == ENOSYS)
2003 /* Function not implemented. */
2008 TEST_cc_c (cpow, 1, 0, 0, 0, 1.0, 0.0);
2009 TEST_cc_c (cpow, 2, 0, 10, 0, 1024.0, 0.0);
2011 TEST_cc_c (cpow, M_El, 0, 0, 2 * M_PIl, 1.0, 0.0);
2012 TEST_cc_c (cpow, 2, 3, 4, 0, -119.0, -120.0);
2014 TEST_cc_c (cpow, nan_value, nan_value, nan_value, nan_value, nan_value, nan_value);
2016 TEST_cc_c (cpow, 0.75L, 1.25L, 0.75L, 1.25L, 0.117506293914473555420279832210420483L, 0.346552747708338676483025352060418001L);
2017 TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 1.0L, 0.0846958290317209430433805274189191353L, 0.513285749182902449043287190519090481L);
2018 TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 0.0L, 0.75L, 1.25L);
2019 TEST_cc_c (cpow, 0.75L, 1.25L, 0.0L, 1.0L, 0.331825439177608832276067945276730566L, 0.131338600281188544930936345230903032L);
2021 END (cpow, complex);
2029 TEST_c_c (cproj, 0.0, 0.0, 0.0, 0.0);
2030 TEST_c_c (cproj, minus_zero, minus_zero, minus_zero, minus_zero);
2031 TEST_c_c (cproj, 0.0, minus_zero, 0.0, minus_zero);
2032 TEST_c_c (cproj, minus_zero, 0.0, minus_zero, 0.0);
2034 TEST_c_c (cproj, nan_value, nan_value, nan_value, nan_value);
2036 TEST_c_c (cproj, plus_infty, plus_infty, plus_infty, 0.0);
2037 TEST_c_c (cproj, plus_infty, minus_infty, plus_infty, minus_zero);
2038 TEST_c_c (cproj, minus_infty, plus_infty, plus_infty, 0.0);
2039 TEST_c_c (cproj, minus_infty, minus_infty, plus_infty, minus_zero);
2041 TEST_c_c (cproj, 1.0, 0.0, 1.0, 0.0);
2042 TEST_c_c (cproj, 2.0, 3.0, 0.2857142857142857142857142857142857L, 0.42857142857142857142857142857142855L);
2044 END (cproj, complex);
2052 TEST_c_f (creal, 0.0, 1.0, 0.0);
2053 TEST_c_f (creal, minus_zero, 1.0, minus_zero);
2054 TEST_c_f (creal, nan_value, 1.0, nan_value);
2055 TEST_c_f (creal, nan_value, nan_value, nan_value);
2056 TEST_c_f (creal, plus_infty, 1.0, plus_infty);
2057 TEST_c_f (creal, minus_infty, 1.0, minus_infty);
2058 TEST_c_f (creal, 2.0, 3.0, 2.0);
2067 FUNC(csin) (BUILD_COMPLEX (0.7L, 1.2L));
2068 if (errno == ENOSYS)
2069 /* Function not implemented. */
2074 TEST_c_c (csin, 0.0, 0.0, 0.0, 0.0);
2075 TEST_c_c (csin, minus_zero, 0.0, minus_zero, 0.0);
2076 TEST_c_c (csin, 0.0, minus_zero, 0, minus_zero);
2077 TEST_c_c (csin, minus_zero, minus_zero, minus_zero, minus_zero);
2079 TEST_c_c (csin, 0.0, plus_infty, 0.0, plus_infty);
2080 TEST_c_c (csin, minus_zero, plus_infty, minus_zero, plus_infty);
2081 TEST_c_c (csin, 0.0, minus_infty, 0.0, minus_infty);
2082 TEST_c_c (csin, minus_zero, minus_infty, minus_zero, minus_infty);
2084 TEST_c_c (csin, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2085 TEST_c_c (csin, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2086 TEST_c_c (csin, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2087 TEST_c_c (csin, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2089 TEST_c_c (csin, plus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2090 TEST_c_c (csin, minus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2091 TEST_c_c (csin, plus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2092 TEST_c_c (csin, minus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2094 TEST_c_c (csin, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
2095 TEST_c_c (csin, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
2096 TEST_c_c (csin, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
2097 TEST_c_c (csin, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
2099 TEST_c_c (csin, 4.625, plus_infty, minus_infty, minus_infty);
2100 TEST_c_c (csin, 4.625, minus_infty, minus_infty, plus_infty);
2101 TEST_c_c (csin, -4.625, plus_infty, plus_infty, minus_infty);
2102 TEST_c_c (csin, -4.625, minus_infty, plus_infty, plus_infty);
2104 TEST_c_c (csin, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
2105 TEST_c_c (csin, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
2107 TEST_c_c (csin, nan_value, plus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2108 TEST_c_c (csin, nan_value, minus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2110 TEST_c_c (csin, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2111 TEST_c_c (csin, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2113 TEST_c_c (csin, 0.0, nan_value, 0.0, nan_value);
2114 TEST_c_c (csin, minus_zero, nan_value, minus_zero, nan_value);
2116 TEST_c_c (csin, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2117 TEST_c_c (csin, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2119 TEST_c_c (csin, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2120 TEST_c_c (csin, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2122 TEST_c_c (csin, nan_value, nan_value, nan_value, nan_value);
2124 TEST_c_c (csin, 0.75L, 1.25L, 1.28722291002649188575873510790565441L, 1.17210635989270256101081285116138863L);
2125 TEST_c_c (csin, -2, -3, -9.15449914691142957346729954460983256L, 4.16890695996656435075481305885375484L);
2127 END (csin, complex);
2135 FUNC(csinh) (BUILD_COMPLEX (0.7L, 1.2L));
2136 if (errno == ENOSYS)
2137 /* Function not implemented. */
2142 TEST_c_c (csinh, 0.0, 0.0, 0.0, 0.0);
2143 TEST_c_c (csinh, minus_zero, 0.0, minus_zero, 0.0);
2144 TEST_c_c (csinh, 0.0, minus_zero, 0.0, minus_zero);
2145 TEST_c_c (csinh, minus_zero, minus_zero, minus_zero, minus_zero);
2147 TEST_c_c (csinh, 0.0, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2148 TEST_c_c (csinh, minus_zero, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2149 TEST_c_c (csinh, 0.0, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2150 TEST_c_c (csinh, minus_zero, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2152 TEST_c_c (csinh, plus_infty, 0.0, plus_infty, 0.0);
2153 TEST_c_c (csinh, minus_infty, 0.0, minus_infty, 0.0);
2154 TEST_c_c (csinh, plus_infty, minus_zero, plus_infty, minus_zero);
2155 TEST_c_c (csinh, minus_infty, minus_zero, minus_infty, minus_zero);
2157 TEST_c_c (csinh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2158 TEST_c_c (csinh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2159 TEST_c_c (csinh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2160 TEST_c_c (csinh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2162 TEST_c_c (csinh, plus_infty, 4.625, minus_infty, minus_infty);
2163 TEST_c_c (csinh, minus_infty, 4.625, plus_infty, minus_infty);
2164 TEST_c_c (csinh, plus_infty, -4.625, minus_infty, plus_infty);
2165 TEST_c_c (csinh, minus_infty, -4.625, plus_infty, plus_infty);
2167 TEST_c_c (csinh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2168 TEST_c_c (csinh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2169 TEST_c_c (csinh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2170 TEST_c_c (csinh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2172 TEST_c_c (csinh, 0.0, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN);
2173 TEST_c_c (csinh, minus_zero, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN);
2175 TEST_c_c (csinh, plus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
2176 TEST_c_c (csinh, minus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
2178 TEST_c_c (csinh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2179 TEST_c_c (csinh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2181 TEST_c_c (csinh, nan_value, 0.0, nan_value, 0.0);
2182 TEST_c_c (csinh, nan_value, minus_zero, nan_value, minus_zero);
2184 TEST_c_c (csinh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2185 TEST_c_c (csinh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2187 TEST_c_c (csinh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2188 TEST_c_c (csinh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2190 TEST_c_c (csinh, nan_value, nan_value, nan_value, nan_value);
2192 TEST_c_c (csinh, 0.75L, 1.25L, 0.259294854551162779153349830618433028L, 1.22863452409509552219214606515777594L);
2193 TEST_c_c (csinh, -2, -3, 3.59056458998577995201256544779481679L, -0.530921086248519805267040090660676560L);
2195 END (csinh, complex);
2203 FUNC(csqrt) (BUILD_COMPLEX (-1, 0));
2204 if (errno == ENOSYS)
2205 /* Function not implemented. */
2210 TEST_c_c (csqrt, 0, 0, 0.0, 0.0);
2211 TEST_c_c (csqrt, 0, minus_zero, 0, minus_zero);
2212 TEST_c_c (csqrt, minus_zero, 0, 0.0, 0.0);
2213 TEST_c_c (csqrt, minus_zero, minus_zero, 0.0, minus_zero);
2215 TEST_c_c (csqrt, minus_infty, 0, 0.0, plus_infty);
2216 TEST_c_c (csqrt, minus_infty, 6, 0.0, plus_infty);
2217 TEST_c_c (csqrt, minus_infty, minus_zero, 0.0, minus_infty);
2218 TEST_c_c (csqrt, minus_infty, -6, 0.0, minus_infty);
2220 TEST_c_c (csqrt, plus_infty, 0, plus_infty, 0.0);
2221 TEST_c_c (csqrt, plus_infty, 6, plus_infty, 0.0);
2222 TEST_c_c (csqrt, plus_infty, minus_zero, plus_infty, minus_zero);
2223 TEST_c_c (csqrt, plus_infty, -6, plus_infty, minus_zero);
2225 TEST_c_c (csqrt, 0, plus_infty, plus_infty, plus_infty);
2226 TEST_c_c (csqrt, 4, plus_infty, plus_infty, plus_infty);
2227 TEST_c_c (csqrt, plus_infty, plus_infty, plus_infty, plus_infty);
2228 TEST_c_c (csqrt, minus_zero, plus_infty, plus_infty, plus_infty);
2229 TEST_c_c (csqrt, -4, plus_infty, plus_infty, plus_infty);
2230 TEST_c_c (csqrt, minus_infty, plus_infty, plus_infty, plus_infty);
2231 TEST_c_c (csqrt, 0, minus_infty, plus_infty, minus_infty);
2232 TEST_c_c (csqrt, 4, minus_infty, plus_infty, minus_infty);
2233 TEST_c_c (csqrt, plus_infty, minus_infty, plus_infty, minus_infty);
2234 TEST_c_c (csqrt, minus_zero, minus_infty, plus_infty, minus_infty);
2235 TEST_c_c (csqrt, -4, minus_infty, plus_infty, minus_infty);
2236 TEST_c_c (csqrt, minus_infty, minus_infty, plus_infty, minus_infty);
2238 TEST_c_c (csqrt, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2240 TEST_c_c (csqrt, plus_infty, nan_value, plus_infty, nan_value);
2242 TEST_c_c (csqrt, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2243 TEST_c_c (csqrt, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2244 TEST_c_c (csqrt, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2245 TEST_c_c (csqrt, -1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2247 TEST_c_c (csqrt, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2248 TEST_c_c (csqrt, nan_value, 8, nan_value, nan_value, INVALID_EXCEPTION_OK);
2249 TEST_c_c (csqrt, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
2250 TEST_c_c (csqrt, nan_value, -8, nan_value, nan_value, INVALID_EXCEPTION_OK);
2252 TEST_c_c (csqrt, nan_value, nan_value, nan_value, nan_value);
2254 TEST_c_c (csqrt, 16.0, -30.0, 5.0, -3.0);
2255 TEST_c_c (csqrt, -1, 0, 0.0, 1.0);
2256 TEST_c_c (csqrt, 0, 2, 1.0, 1.0);
2257 TEST_c_c (csqrt, 119, 120, 12.0, 5.0);
2258 TEST_c_c (csqrt, 0.75L, 1.25L, 1.05065169626078392338656675760808326L, 0.594868882070379067881984030639932657L);
2259 TEST_c_c (csqrt, -2, -3, 0.89597747612983812471573375529004348L, -1.6741492280355400404480393008490519L);
2260 TEST_c_c (csqrt, -2, 3, 0.89597747612983812471573375529004348L, 1.6741492280355400404480393008490519L);
2261 /* Principal square root should be returned (i.e., non-negative real
2263 TEST_c_c (csqrt, 0, -1, M_SQRT_2_2, -M_SQRT_2_2);
2265 END (csqrt, complex);
2272 FUNC(ctan) (BUILD_COMPLEX (0.7L, 1.2L));
2273 if (errno == ENOSYS)
2274 /* Function not implemented. */
2279 TEST_c_c (ctan, 0, 0, 0.0, 0.0);
2280 TEST_c_c (ctan, 0, minus_zero, 0.0, minus_zero);
2281 TEST_c_c (ctan, minus_zero, 0, minus_zero, 0.0);
2282 TEST_c_c (ctan, minus_zero, minus_zero, minus_zero, minus_zero);
2284 TEST_c_c (ctan, 0, plus_infty, 0.0, 1.0);
2285 TEST_c_c (ctan, 1, plus_infty, 0.0, 1.0);
2286 TEST_c_c (ctan, minus_zero, plus_infty, minus_zero, 1.0);
2287 TEST_c_c (ctan, -1, plus_infty, minus_zero, 1.0);
2289 TEST_c_c (ctan, 0, minus_infty, 0.0, -1.0);
2290 TEST_c_c (ctan, 1, minus_infty, 0.0, -1.0);
2291 TEST_c_c (ctan, minus_zero, minus_infty, minus_zero, -1.0);
2292 TEST_c_c (ctan, -1, minus_infty, minus_zero, -1.0);
2294 TEST_c_c (ctan, plus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION);
2295 TEST_c_c (ctan, plus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION);
2296 TEST_c_c (ctan, minus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION);
2297 TEST_c_c (ctan, minus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION);
2298 TEST_c_c (ctan, plus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION);
2299 TEST_c_c (ctan, plus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION);
2300 TEST_c_c (ctan, minus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION);
2301 TEST_c_c (ctan, minus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION);
2303 TEST_c_c (ctan, nan_value, plus_infty, 0.0, 1.0, IGNORE_ZERO_INF_SIGN);
2304 TEST_c_c (ctan, nan_value, minus_infty, 0.0, -1.0, IGNORE_ZERO_INF_SIGN);
2306 TEST_c_c (ctan, 0, nan_value, 0.0, nan_value);
2307 TEST_c_c (ctan, minus_zero, nan_value, minus_zero, nan_value);
2309 TEST_c_c (ctan, 0.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2310 TEST_c_c (ctan, -4.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2312 TEST_c_c (ctan, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2313 TEST_c_c (ctan, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2314 TEST_c_c (ctan, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
2315 TEST_c_c (ctan, nan_value, -0.25, nan_value, nan_value, INVALID_EXCEPTION_OK);
2317 TEST_c_c (ctan, nan_value, nan_value, nan_value, nan_value);
2319 TEST_c_c (ctan, 0.75L, 1.25L, 0.160807785916206426725166058173438663L, 0.975363285031235646193581759755216379L);
2320 TEST_c_c (ctan, -2, -3, 0.376402564150424829275122113032269084e-2L, -1.00323862735360980144635859782192726L);
2322 END (ctan, complex);
2330 FUNC(ctanh) (BUILD_COMPLEX (0, 0));
2331 if (errno == ENOSYS)
2332 /* Function not implemented. */
2337 TEST_c_c (ctanh, 0, 0, 0.0, 0.0);
2338 TEST_c_c (ctanh, 0, minus_zero, 0.0, minus_zero);
2339 TEST_c_c (ctanh, minus_zero, 0, minus_zero, 0.0);
2340 TEST_c_c (ctanh, minus_zero, minus_zero, minus_zero, minus_zero);
2342 TEST_c_c (ctanh, plus_infty, 0, 1.0, 0.0);
2343 TEST_c_c (ctanh, plus_infty, 1, 1.0, 0.0);
2344 TEST_c_c (ctanh, plus_infty, minus_zero, 1.0, minus_zero);
2345 TEST_c_c (ctanh, plus_infty, -1, 1.0, minus_zero);
2346 TEST_c_c (ctanh, minus_infty, 0, -1.0, 0.0);
2347 TEST_c_c (ctanh, minus_infty, 1, -1.0, 0.0);
2348 TEST_c_c (ctanh, minus_infty, minus_zero, -1.0, minus_zero);
2349 TEST_c_c (ctanh, minus_infty, -1, -1.0, minus_zero);
2351 TEST_c_c (ctanh, 0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2352 TEST_c_c (ctanh, 2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2353 TEST_c_c (ctanh, 0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2354 TEST_c_c (ctanh, 2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2355 TEST_c_c (ctanh, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2356 TEST_c_c (ctanh, -2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2357 TEST_c_c (ctanh, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2358 TEST_c_c (ctanh, -2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2360 TEST_c_c (ctanh, plus_infty, nan_value, 1.0, 0.0, IGNORE_ZERO_INF_SIGN);
2361 TEST_c_c (ctanh, minus_infty, nan_value, -1.0, 0.0, IGNORE_ZERO_INF_SIGN);
2363 TEST_c_c (ctanh, nan_value, 0, nan_value, 0.0);
2364 TEST_c_c (ctanh, nan_value, minus_zero, nan_value, minus_zero);
2366 TEST_c_c (ctanh, nan_value, 0.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2367 TEST_c_c (ctanh, nan_value, -4.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2369 TEST_c_c (ctanh, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2370 TEST_c_c (ctanh, 5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2371 TEST_c_c (ctanh, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2372 TEST_c_c (ctanh, -0.25, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2374 TEST_c_c (ctanh, nan_value, nan_value, nan_value, nan_value);
2376 TEST_c_c (ctanh, 0, M_PI_4l, 0.0, 1.0);
2378 TEST_c_c (ctanh, 0.75L, 1.25L, 1.37260757053378320258048606571226857L, 0.385795952609750664177596760720790220L);
2379 TEST_c_c (ctanh, -2, -3, -0.965385879022133124278480269394560686L, 0.988437503832249372031403430350121098e-2L);
2381 END (ctanh, complex);
2390 if (errno == ENOSYS)
2391 /* Function not implemented. */
2396 TEST_f_f (erf, 0, 0);
2397 TEST_f_f (erf, minus_zero, minus_zero);
2398 TEST_f_f (erf, plus_infty, 1);
2399 TEST_f_f (erf, minus_infty, -1);
2400 TEST_f_f (erf, nan_value, nan_value);
2402 TEST_f_f (erf, 0.125L, 0.140316204801333817393029446521623398L);
2403 TEST_f_f (erf, 0.75L, 0.711155633653515131598937834591410777L);
2404 TEST_f_f (erf, 1.25L, 0.922900128256458230136523481197281140L);
2405 TEST_f_f (erf, 2.0L, 0.995322265018952734162069256367252929L);
2406 TEST_f_f (erf, 4.125L, 0.999999994576599200434933994687765914L);
2407 TEST_f_f (erf, 27.0L, 1.0L);
2418 if (errno == ENOSYS)
2419 /* Function not implemented. */
2424 TEST_f_f (erfc, plus_infty, 0.0);
2425 TEST_f_f (erfc, minus_infty, 2.0);
2426 TEST_f_f (erfc, 0.0, 1.0);
2427 TEST_f_f (erfc, minus_zero, 1.0);
2428 TEST_f_f (erfc, nan_value, nan_value);
2430 TEST_f_f (erfc, 0.125L, 0.859683795198666182606970553478376602L);
2431 TEST_f_f (erfc, 0.75L, 0.288844366346484868401062165408589223L);
2432 TEST_f_f (erfc, 1.25L, 0.0770998717435417698634765188027188596L);
2433 TEST_f_f (erfc, 2.0L, 0.00467773498104726583793074363274707139L);
2434 TEST_f_f (erfc, 4.125L, 0.542340079956506600531223408575531062e-8L);
2436 /* The result can only be represented in long double. */
2437 # if LDBL_MIN_10_EXP < -319
2438 TEST_f_f (erfc, 27.0L, 0.523704892378925568501606768284954709e-318L);
2451 if (errno == ENOSYS)
2452 /* Function not implemented. */
2457 TEST_f_f (exp, 0, 1);
2458 TEST_f_f (exp, minus_zero, 1);
2461 TEST_f_f (exp, plus_infty, plus_infty);
2462 TEST_f_f (exp, minus_infty, 0);
2464 TEST_f_f (exp, nan_value, nan_value);
2465 TEST_f_f (exp, 1, M_El);
2467 TEST_f_f (exp, 2, M_E2l);
2468 TEST_f_f (exp, 3, M_E3l);
2469 TEST_f_f (exp, 0.75L, 2.11700001661267466854536981983709561L);
2470 TEST_f_f (exp, 50.0L, 5184705528587072464087.45332293348538L);
2472 /* The result can only be represented in long double. */
2473 TEST_f_f (exp, 1000.0L, 0.197007111401704699388887935224332313e435L);
2485 if (errno == ENOSYS)
2486 /* Function not implemented. */
2491 TEST_f_f (exp10, 0, 1);
2492 TEST_f_f (exp10, minus_zero, 1);
2494 TEST_f_f (exp10, plus_infty, plus_infty);
2495 TEST_f_f (exp10, minus_infty, 0);
2496 TEST_f_f (exp10, nan_value, nan_value);
2497 TEST_f_f (exp10, 3, 1000);
2498 TEST_f_f (exp10, -1, 0.1L);
2499 TEST_f_f (exp10, 1e6, plus_infty);
2500 TEST_f_f (exp10, -1e6, 0);
2501 TEST_f_f (exp10, 0.75L, 5.62341325190349080394951039776481231L);
2512 if (errno == ENOSYS)
2513 /* Function not implemented. */
2518 TEST_f_f (exp2, 0, 1);
2519 TEST_f_f (exp2, minus_zero, 1);
2520 TEST_f_f (exp2, plus_infty, plus_infty);
2521 TEST_f_f (exp2, minus_infty, 0);
2522 TEST_f_f (exp2, nan_value, nan_value);
2524 TEST_f_f (exp2, 10, 1024);
2525 TEST_f_f (exp2, -1, 0.5);
2526 TEST_f_f (exp2, 1e6, plus_infty);
2527 TEST_f_f (exp2, -1e6, 0);
2528 TEST_f_f (exp2, 0.75L, 1.68179283050742908606225095246642979L);
2539 if (errno == ENOSYS)
2540 /* Function not implemented. */
2545 TEST_f_f (expm1, 0, 0);
2546 TEST_f_f (expm1, minus_zero, minus_zero);
2549 TEST_f_f (expm1, plus_infty, plus_infty);
2550 TEST_f_f (expm1, minus_infty, -1);
2552 TEST_f_f (expm1, nan_value, nan_value);
2554 TEST_f_f (expm1, 1, M_El - 1.0);
2555 TEST_f_f (expm1, 0.75L, 1.11700001661267466854536981983709561L);
2566 TEST_f_f (fabs, 0, 0);
2567 TEST_f_f (fabs, minus_zero, 0);
2569 TEST_f_f (fabs, plus_infty, plus_infty);
2570 TEST_f_f (fabs, minus_infty, plus_infty);
2571 TEST_f_f (fabs, nan_value, nan_value);
2573 TEST_f_f (fabs, 38.0, 38.0);
2574 TEST_f_f (fabs, -M_El, M_El);
2585 TEST_ff_f (fdim, 0, 0, 0);
2586 TEST_ff_f (fdim, 9, 0, 9);
2587 TEST_ff_f (fdim, 0, 9, 0);
2588 TEST_ff_f (fdim, -9, 0, 0);
2589 TEST_ff_f (fdim, 0, -9, 9);
2591 TEST_ff_f (fdim, plus_infty, 9, plus_infty);
2592 TEST_ff_f (fdim, plus_infty, -9, plus_infty);
2593 TEST_ff_f (fdim, minus_infty, 9, 0);
2594 TEST_ff_f (fdim, minus_infty, -9, 0);
2595 TEST_ff_f (fdim, 9, minus_infty, plus_infty);
2596 TEST_ff_f (fdim, -9, minus_infty, plus_infty);
2597 TEST_ff_f (fdim, 9, plus_infty, 0);
2598 TEST_ff_f (fdim, -9, plus_infty, 0);
2600 TEST_ff_f (fdim, 0, nan_value, nan_value);
2601 TEST_ff_f (fdim, 9, nan_value, nan_value);
2602 TEST_ff_f (fdim, -9, nan_value, nan_value);
2603 TEST_ff_f (fdim, nan_value, 9, nan_value);
2604 TEST_ff_f (fdim, nan_value, -9, nan_value);
2605 TEST_ff_f (fdim, plus_infty, nan_value, nan_value);
2606 TEST_ff_f (fdim, minus_infty, nan_value, nan_value);
2607 TEST_ff_f (fdim, nan_value, plus_infty, nan_value);
2608 TEST_ff_f (fdim, nan_value, minus_infty, nan_value);
2609 TEST_ff_f (fdim, nan_value, nan_value, nan_value);
2611 TEST_ff_f (fdim, plus_infty, plus_infty, 0);
2622 TEST_f_f (floor, 0.0, 0.0);
2623 TEST_f_f (floor, minus_zero, minus_zero);
2624 TEST_f_f (floor, plus_infty, plus_infty);
2625 TEST_f_f (floor, minus_infty, minus_infty);
2626 TEST_f_f (floor, nan_value, nan_value);
2628 TEST_f_f (floor, M_PIl, 3.0);
2629 TEST_f_f (floor, -M_PIl, -4.0);
2631 TEST_f_f (floor, 0.25, 0.0);
2632 TEST_f_f (floor, -0.25, -1.0);
2636 /* The result can only be represented in long double. */
2637 TEST_f_f (floor, 4503599627370495.5L, 4503599627370495.0L);
2638 TEST_f_f (floor, 4503599627370496.25L, 4503599627370496.0L);
2639 TEST_f_f (floor, 4503599627370496.5L, 4503599627370496.0L);
2640 TEST_f_f (floor, 4503599627370496.75L, 4503599627370496.0L);
2641 TEST_f_f (floor, 4503599627370497.5L, 4503599627370497.0L);
2643 TEST_f_f (floor, -4503599627370495.5L, -4503599627370496.0L);
2644 TEST_f_f (floor, -4503599627370496.25L, -4503599627370497.0L);
2645 TEST_f_f (floor, -4503599627370496.5L, -4503599627370497.0L);
2646 TEST_f_f (floor, -4503599627370496.75L, -4503599627370497.0L);
2647 TEST_f_f (floor, -4503599627370497.5L, -4503599627370498.0L);
2649 TEST_f_f (floor, 9007199254740991.5L, 9007199254740991.0L);
2650 TEST_f_f (floor, 9007199254740992.25L, 9007199254740992.0L);
2651 TEST_f_f (floor, 9007199254740992.5L, 9007199254740992.0L);
2652 TEST_f_f (floor, 9007199254740992.75L, 9007199254740992.0L);
2653 TEST_f_f (floor, 9007199254740993.5L, 9007199254740993.0L);
2655 TEST_f_f (floor, -9007199254740991.5L, -9007199254740992.0L);
2656 TEST_f_f (floor, -9007199254740992.25L, -9007199254740993.0L);
2657 TEST_f_f (floor, -9007199254740992.5L, -9007199254740993.0L);
2658 TEST_f_f (floor, -9007199254740992.75L, -9007199254740993.0L);
2659 TEST_f_f (floor, -9007199254740993.5L, -9007199254740994.0L);
2661 TEST_f_f (floor, 72057594037927935.5L, 72057594037927935.0L);
2662 TEST_f_f (floor, 72057594037927936.25L, 72057594037927936.0L);
2663 TEST_f_f (floor, 72057594037927936.5L, 72057594037927936.0L);
2664 TEST_f_f (floor, 72057594037927936.75L, 72057594037927936.0L);
2665 TEST_f_f (floor, 72057594037927937.5L, 72057594037927937.0L);
2667 TEST_f_f (floor, -72057594037927935.5L, -72057594037927936.0L);
2668 TEST_f_f (floor, -72057594037927936.25L, -72057594037927937.0L);
2669 TEST_f_f (floor, -72057594037927936.5L, -72057594037927937.0L);
2670 TEST_f_f (floor, -72057594037927936.75L, -72057594037927937.0L);
2671 TEST_f_f (floor, -72057594037927937.5L, -72057594037927938.0L);
2673 TEST_f_f (floor, 10141204801825835211973625643007.5L, 10141204801825835211973625643007.0L);
2674 TEST_f_f (floor, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
2675 TEST_f_f (floor, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
2676 TEST_f_f (floor, 10141204801825835211973625643008.75L, 10141204801825835211973625643008.0L);
2677 TEST_f_f (floor, 10141204801825835211973625643009.5L, 10141204801825835211973625643009.0L);
2689 TEST_fff_f (fma, 1.0, 2.0, 3.0, 5.0);
2690 TEST_fff_f (fma, nan_value, 2.0, 3.0, nan_value);
2691 TEST_fff_f (fma, 1.0, nan_value, 3.0, nan_value);
2692 TEST_fff_f (fma, 1.0, 2.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2693 TEST_fff_f (fma, plus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2694 TEST_fff_f (fma, minus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2695 TEST_fff_f (fma, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2696 TEST_fff_f (fma, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2697 TEST_fff_f (fma, plus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION);
2698 TEST_fff_f (fma, minus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION);
2699 TEST_fff_f (fma, 0.0, plus_infty, 1.0, nan_value, INVALID_EXCEPTION);
2700 TEST_fff_f (fma, 0.0, minus_infty, 1.0, nan_value, INVALID_EXCEPTION);
2702 TEST_fff_f (fma, plus_infty, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
2703 TEST_fff_f (fma, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
2704 TEST_fff_f (fma, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
2705 TEST_fff_f (fma, minus_infty, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
2707 TEST_fff_f (fma, 1.25L, 0.75L, 0.0625L, 1.0L);
2718 TEST_ff_f (fmax, 0, 0, 0);
2719 TEST_ff_f (fmax, minus_zero, minus_zero, minus_zero);
2720 TEST_ff_f (fmax, 9, 0, 9);
2721 TEST_ff_f (fmax, 0, 9, 9);
2722 TEST_ff_f (fmax, -9, 0, 0);
2723 TEST_ff_f (fmax, 0, -9, 0);
2725 TEST_ff_f (fmax, plus_infty, 9, plus_infty);
2726 TEST_ff_f (fmax, 0, plus_infty, plus_infty);
2727 TEST_ff_f (fmax, -9, plus_infty, plus_infty);
2728 TEST_ff_f (fmax, plus_infty, -9, plus_infty);
2730 TEST_ff_f (fmax, minus_infty, 9, 9);
2731 TEST_ff_f (fmax, minus_infty, -9, -9);
2732 TEST_ff_f (fmax, 9, minus_infty, 9);
2733 TEST_ff_f (fmax, -9, minus_infty, -9);
2735 TEST_ff_f (fmax, 0, nan_value, 0);
2736 TEST_ff_f (fmax, 9, nan_value, 9);
2737 TEST_ff_f (fmax, -9, nan_value, -9);
2738 TEST_ff_f (fmax, nan_value, 0, 0);
2739 TEST_ff_f (fmax, nan_value, 9, 9);
2740 TEST_ff_f (fmax, nan_value, -9, -9);
2741 TEST_ff_f (fmax, plus_infty, nan_value, plus_infty);
2742 TEST_ff_f (fmax, minus_infty, nan_value, minus_infty);
2743 TEST_ff_f (fmax, nan_value, plus_infty, plus_infty);
2744 TEST_ff_f (fmax, nan_value, minus_infty, minus_infty);
2745 TEST_ff_f (fmax, nan_value, nan_value, nan_value);
2756 TEST_ff_f (fmin, 0, 0, 0);
2757 TEST_ff_f (fmin, minus_zero, minus_zero, minus_zero);
2758 TEST_ff_f (fmin, 9, 0, 0);
2759 TEST_ff_f (fmin, 0, 9, 0);
2760 TEST_ff_f (fmin, -9, 0, -9);
2761 TEST_ff_f (fmin, 0, -9, -9);
2763 TEST_ff_f (fmin, plus_infty, 9, 9);
2764 TEST_ff_f (fmin, 9, plus_infty, 9);
2765 TEST_ff_f (fmin, plus_infty, -9, -9);
2766 TEST_ff_f (fmin, -9, plus_infty, -9);
2767 TEST_ff_f (fmin, minus_infty, 9, minus_infty);
2768 TEST_ff_f (fmin, minus_infty, -9, minus_infty);
2769 TEST_ff_f (fmin, 9, minus_infty, minus_infty);
2770 TEST_ff_f (fmin, -9, minus_infty, minus_infty);
2772 TEST_ff_f (fmin, 0, nan_value, 0);
2773 TEST_ff_f (fmin, 9, nan_value, 9);
2774 TEST_ff_f (fmin, -9, nan_value, -9);
2775 TEST_ff_f (fmin, nan_value, 0, 0);
2776 TEST_ff_f (fmin, nan_value, 9, 9);
2777 TEST_ff_f (fmin, nan_value, -9, -9);
2778 TEST_ff_f (fmin, plus_infty, nan_value, plus_infty);
2779 TEST_ff_f (fmin, minus_infty, nan_value, minus_infty);
2780 TEST_ff_f (fmin, nan_value, plus_infty, plus_infty);
2781 TEST_ff_f (fmin, nan_value, minus_infty, minus_infty);
2782 TEST_ff_f (fmin, nan_value, nan_value, nan_value);
2792 FUNC(fmod) (6.5, 2.3L);
2793 if (errno == ENOSYS)
2794 /* Function not implemented. */
2799 /* fmod (+0, y) == +0 for y != 0. */
2800 TEST_ff_f (fmod, 0, 3, 0);
2802 /* fmod (-0, y) == -0 for y != 0. */
2803 TEST_ff_f (fmod, minus_zero, 3, minus_zero);
2805 /* fmod (+inf, y) == NaN plus invalid exception. */
2806 TEST_ff_f (fmod, plus_infty, 3, nan_value, INVALID_EXCEPTION);
2807 /* fmod (-inf, y) == NaN plus invalid exception. */
2808 TEST_ff_f (fmod, minus_infty, 3, nan_value, INVALID_EXCEPTION);
2809 /* fmod (x, +0) == NaN plus invalid exception. */
2810 TEST_ff_f (fmod, 3, 0, nan_value, INVALID_EXCEPTION);
2811 /* fmod (x, -0) == NaN plus invalid exception. */
2812 TEST_ff_f (fmod, 3, minus_zero, nan_value, INVALID_EXCEPTION);
2814 /* fmod (x, +inf) == x for x not infinite. */
2815 TEST_ff_f (fmod, 3.0, plus_infty, 3.0);
2816 /* fmod (x, -inf) == x for x not infinite. */
2817 TEST_ff_f (fmod, 3.0, minus_infty, 3.0);
2819 TEST_ff_f (fmod, nan_value, nan_value, nan_value);
2821 TEST_ff_f (fmod, 6.5, 2.25L, 2.0L);
2822 TEST_ff_f (fmod, -6.5, 2.25L, -2.0L);
2823 TEST_ff_f (fmod, 6.5, -2.25L, 2.0L);
2824 TEST_ff_f (fmod, -6.5, -2.25L, -2.0L);
2831 fpclassify_test (void)
2835 TEST_f_i (fpclassify, nan_value, FP_NAN);
2836 TEST_f_i (fpclassify, plus_infty, FP_INFINITE);
2837 TEST_f_i (fpclassify, minus_infty, FP_INFINITE);
2838 TEST_f_i (fpclassify, plus_zero, FP_ZERO);
2839 TEST_f_i (fpclassify, minus_zero, FP_ZERO);
2840 TEST_f_i (fpclassify, 1000, FP_NORMAL);
2853 TEST_fI_f1 (frexp, plus_infty, plus_infty, IGNORE);
2854 TEST_fI_f1 (frexp, minus_infty, minus_infty, IGNORE);
2855 TEST_fI_f1 (frexp, nan_value, nan_value, IGNORE);
2857 TEST_fI_f1 (frexp, 0.0, 0.0, 0.0);
2858 TEST_fI_f1 (frexp, minus_zero, minus_zero, 0.0);
2860 TEST_fI_f1 (frexp, 12.8L, 0.8L, 4);
2861 TEST_fI_f1 (frexp, -27.34L, -0.854375L, 5);
2873 if (errno == ENOSYS)
2874 /* Function not implemented. */
2876 feclearexcept (FE_ALL_EXCEPT);
2880 TEST_f_f (gamma, plus_infty, plus_infty);
2881 TEST_f_f (gamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
2882 TEST_f_f (gamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
2883 TEST_f_f (gamma, minus_infty, plus_infty);
2884 TEST_f_f (gamma, nan_value, nan_value);
2886 TEST_f_f1 (gamma, 1, 0, 1);
2887 TEST_f_f1 (gamma, 3, M_LN2l, 1);
2889 TEST_f_f1 (gamma, 0.5, M_LOG_SQRT_PIl, 1);
2890 TEST_f_f1 (gamma, -0.5, M_LOG_2_SQRT_PIl, -1);
2899 FUNC(hypot) (0.7L, 12.4L);
2900 if (errno == ENOSYS)
2901 /* Function not implemented. */
2906 TEST_ff_f (hypot, plus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN);
2907 TEST_ff_f (hypot, minus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN);
2910 TEST_ff_f (hypot, plus_infty, nan_value, plus_infty);
2911 TEST_ff_f (hypot, minus_infty, nan_value, plus_infty);
2912 TEST_ff_f (hypot, nan_value, plus_infty, plus_infty);
2913 TEST_ff_f (hypot, nan_value, minus_infty, plus_infty);
2916 TEST_ff_f (hypot, nan_value, nan_value, nan_value);
2918 /* hypot (x,y) == hypot (+-x, +-y) */
2919 TEST_ff_f (hypot, 0.7L, 12.4L, 12.419742348374220601176836866763271L);
2920 TEST_ff_f (hypot, -0.7L, 12.4L, 12.419742348374220601176836866763271L);
2921 TEST_ff_f (hypot, 0.7L, -12.4L, 12.419742348374220601176836866763271L);
2922 TEST_ff_f (hypot, -0.7L, -12.4L, 12.419742348374220601176836866763271L);
2923 TEST_ff_f (hypot, 12.4L, 0.7L, 12.419742348374220601176836866763271L);
2924 TEST_ff_f (hypot, -12.4L, 0.7L, 12.419742348374220601176836866763271L);
2925 TEST_ff_f (hypot, 12.4L, -0.7L, 12.419742348374220601176836866763271L);
2926 TEST_ff_f (hypot, -12.4L, -0.7L, 12.419742348374220601176836866763271L);
2928 /* hypot (x,0) == fabs (x) */
2929 TEST_ff_f (hypot, 0.75L, 0, 0.75L);
2930 TEST_ff_f (hypot, -0.75L, 0, 0.75L);
2931 TEST_ff_f (hypot, -5.7e7, 0, 5.7e7L);
2933 TEST_ff_f (hypot, 0.75L, 1.25L, 1.45773797371132511771853821938639577L);
2944 TEST_f_i (ilogb, 1, 0);
2945 TEST_f_i (ilogb, M_El, 1);
2946 TEST_f_i (ilogb, 1024, 10);
2947 TEST_f_i (ilogb, -2000, 10);
2949 /* XXX We have a problem here: the standard does not tell us whether
2950 exceptions are allowed/required. ignore them for now. */
2952 TEST_f_i (ilogb, 0.0, FP_ILOGB0, EXCEPTIONS_OK);
2953 TEST_f_i (ilogb, nan_value, FP_ILOGBNAN, EXCEPTIONS_OK);
2954 TEST_f_i (ilogb, plus_infty, INT_MAX, EXCEPTIONS_OK);
2955 TEST_f_i (ilogb, minus_infty, INT_MAX, EXCEPTIONS_OK);
2961 isfinite_test (void)
2965 TEST_f_b (isfinite, 0, 1);
2966 TEST_f_b (isfinite, minus_zero, 1);
2967 TEST_f_b (isfinite, 10, 1);
2968 TEST_f_b (isfinite, plus_infty, 0);
2969 TEST_f_b (isfinite, minus_infty, 0);
2970 TEST_f_b (isfinite, nan_value, 0);
2976 isnormal_test (void)
2980 TEST_f_b (isnormal, 0, 0);
2981 TEST_f_b (isnormal, minus_zero, 0);
2982 TEST_f_b (isnormal, 10, 1);
2983 TEST_f_b (isnormal, plus_infty, 0);
2984 TEST_f_b (isnormal, minus_infty, 0);
2985 TEST_f_b (isnormal, nan_value, 0);
2995 FUNC (sincos) (0, &s, &c);
2996 if (errno == ENOSYS)
2997 /* Required function not implemented. */
3000 if (errno == ENOSYS)
3001 /* Function not implemented. */
3006 /* j0 is the Bessel function of the first kind of order 0 */
3007 TEST_f_f (j0, nan_value, nan_value);
3008 TEST_f_f (j0, plus_infty, 0);
3009 TEST_f_f (j0, -1.0, 0.765197686557966551449717526102663221L);
3010 TEST_f_f (j0, 0.0, 1.0);
3011 TEST_f_f (j0, 0.125L, 0.996097563041985204620768999453174712L);
3012 TEST_f_f (j0, 0.75L, 0.864242275166648623555731103820923211L);
3013 TEST_f_f (j0, 1.0, 0.765197686557966551449717526102663221L);
3014 TEST_f_f (j0, 1.5, 0.511827671735918128749051744283411720L);
3015 TEST_f_f (j0, 2.0, 0.223890779141235668051827454649948626L);
3016 TEST_f_f (j0, 8.0, 0.171650807137553906090869407851972001L);
3017 TEST_f_f (j0, 10.0, -0.245935764451348335197760862485328754L);
3018 TEST_f_f (j0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
3019 TEST_f_f (j0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
3030 FUNC (sincos) (0, &s, &c);
3031 if (errno == ENOSYS)
3032 /* Required function not implemented. */
3035 if (errno == ENOSYS)
3036 /* Function not implemented. */
3039 /* j1 is the Bessel function of the first kind of order 1 */
3043 TEST_f_f (j1, nan_value, nan_value);
3044 TEST_f_f (j1, plus_infty, 0);
3046 TEST_f_f (j1, -1.0, -0.440050585744933515959682203718914913L);
3047 TEST_f_f (j1, 0.0, 0.0);
3048 TEST_f_f (j1, 0.125L, 0.0623780091344946810942311355879361177L);
3049 TEST_f_f (j1, 0.75L, 0.349243602174862192523281016426251335L);
3050 TEST_f_f (j1, 1.0, 0.440050585744933515959682203718914913L);
3051 TEST_f_f (j1, 1.5, 0.557936507910099641990121213156089400L);
3052 TEST_f_f (j1, 2.0, 0.576724807756873387202448242269137087L);
3053 TEST_f_f (j1, 8.0, 0.234636346853914624381276651590454612L);
3054 TEST_f_f (j1, 10.0, 0.0434727461688614366697487680258592883L);
3064 FUNC (sincos) (0, &s, &c);
3065 if (errno == ENOSYS)
3066 /* Required function not implemented. */
3069 if (errno == ENOSYS)
3070 /* Function not implemented. */
3073 /* jn is the Bessel function of the first kind of order n. */
3076 /* jn (0, x) == j0 (x) */
3077 TEST_ff_f (jn, 0, nan_value, nan_value);
3078 TEST_ff_f (jn, 0, plus_infty, 0);
3079 TEST_ff_f (jn, 0, -1.0, 0.765197686557966551449717526102663221L);
3080 TEST_ff_f (jn, 0, 0.0, 1.0);
3081 TEST_ff_f (jn, 0, 0.125L, 0.996097563041985204620768999453174712L);
3082 TEST_ff_f (jn, 0, 0.75L, 0.864242275166648623555731103820923211L);
3083 TEST_ff_f (jn, 0, 1.0, 0.765197686557966551449717526102663221L);
3084 TEST_ff_f (jn, 0, 1.5, 0.511827671735918128749051744283411720L);
3085 TEST_ff_f (jn, 0, 2.0, 0.223890779141235668051827454649948626L);
3086 TEST_ff_f (jn, 0, 8.0, 0.171650807137553906090869407851972001L);
3087 TEST_ff_f (jn, 0, 10.0, -0.245935764451348335197760862485328754L);
3088 TEST_ff_f (jn, 0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
3089 TEST_ff_f (jn, 0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
3091 /* jn (1, x) == j1 (x) */
3092 TEST_ff_f (jn, 1, nan_value, nan_value);
3093 TEST_ff_f (jn, 1, plus_infty, 0);
3094 TEST_ff_f (jn, 1, -1.0, -0.440050585744933515959682203718914913L);
3095 TEST_ff_f (jn, 1, 0.0, 0.0);
3096 TEST_ff_f (jn, 1, 0.125L, 0.0623780091344946810942311355879361177L);
3097 TEST_ff_f (jn, 1, 0.75L, 0.349243602174862192523281016426251335L);
3098 TEST_ff_f (jn, 1, 1.0, 0.440050585744933515959682203718914913L);
3099 TEST_ff_f (jn, 1, 1.5, 0.557936507910099641990121213156089400L);
3100 TEST_ff_f (jn, 1, 2.0, 0.576724807756873387202448242269137087L);
3101 TEST_ff_f (jn, 1, 8.0, 0.234636346853914624381276651590454612L);
3102 TEST_ff_f (jn, 1, 10.0, 0.0434727461688614366697487680258592883L);
3105 TEST_ff_f (jn, 3, nan_value, nan_value);
3106 TEST_ff_f (jn, 3, plus_infty, 0);
3108 TEST_ff_f (jn, 3, -1.0, -0.0195633539826684059189053216217515083L);
3109 TEST_ff_f (jn, 3, 0.0, 0.0);
3110 TEST_ff_f (jn, 3, 0.125L, 0.406503832554912875023029337653442868e-4L);
3111 TEST_ff_f (jn, 3, 0.75L, 0.848438342327410884392755236884386804e-2L);
3112 TEST_ff_f (jn, 3, 1.0, 0.0195633539826684059189053216217515083L);
3113 TEST_ff_f (jn, 3, 2.0, 0.128943249474402051098793332969239835L);
3114 TEST_ff_f (jn, 3, 10.0, 0.0583793793051868123429354784103409563L);
3117 TEST_ff_f (jn, 10, nan_value, nan_value);
3118 TEST_ff_f (jn, 10, plus_infty, 0);
3120 TEST_ff_f (jn, 10, -1.0, 0.263061512368745320699785368779050294e-9L);
3121 TEST_ff_f (jn, 10, 0.0, 0.0);
3122 TEST_ff_f (jn, 10, 0.125L, 0.250543369809369890173993791865771547e-18L);
3123 TEST_ff_f (jn, 10, 0.75L, 0.149621713117596814698712483621682835e-10L);
3124 TEST_ff_f (jn, 10, 1.0, 0.263061512368745320699785368779050294e-9L);
3125 TEST_ff_f (jn, 10, 2.0, 0.251538628271673670963516093751820639e-6L);
3126 TEST_ff_f (jn, 10, 10.0, 0.207486106633358857697278723518753428L);
3135 TEST_ff_f (ldexp, 0, 0, 0);
3136 TEST_ff_f (ldexp, minus_zero, 0, minus_zero);
3138 TEST_ff_f (ldexp, plus_infty, 1, plus_infty);
3139 TEST_ff_f (ldexp, minus_infty, 1, minus_infty);
3140 TEST_ff_f (ldexp, nan_value, 1, nan_value);
3142 TEST_ff_f (ldexp, 0.8L, 4, 12.8L);
3143 TEST_ff_f (ldexp, -0.854375L, 5, -27.34L);
3145 /* ldexp (x, 0) == x. */
3146 TEST_ff_f (ldexp, 1.0L, 0L, 1.0L);
3155 if (errno == ENOSYS)
3156 /* Function not implemented. */
3158 feclearexcept (FE_ALL_EXCEPT);
3162 TEST_f_f (lgamma, plus_infty, plus_infty);
3163 TEST_f_f (lgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3164 TEST_f_f (lgamma, nan_value, nan_value);
3166 /* lgamma (x) == +inf plus divide by zero exception for integer x <= 0. */
3167 TEST_f_f (lgamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3168 TEST_f_f (lgamma, minus_infty, plus_infty);
3170 TEST_f_f1 (lgamma, 1, 0, 1);
3172 TEST_f_f1 (lgamma, 3, M_LN2l, 1);
3174 TEST_f_f1 (lgamma, 0.5, M_LOG_SQRT_PIl, 1);
3175 TEST_f_f1 (lgamma, -0.5, M_LOG_2_SQRT_PIl, -1);
3176 TEST_f_f1 (lgamma, 0.7L, 0.260867246531666514385732417016759578L, 1);
3177 TEST_f_f1 (lgamma, 1.2L, -0.853740900033158497197028392998854470e-1L, 1);
3186 /* XXX this test is incomplete. We need to have a way to specifiy
3187 the rounding method and test the critical cases. So far, only
3188 unproblematic numbers are tested. */
3192 TEST_f_l (lrint, 0.0, 0);
3193 TEST_f_l (lrint, minus_zero, 0);
3194 TEST_f_l (lrint, 0.2L, 0);
3195 TEST_f_l (lrint, -0.2L, 0);
3197 TEST_f_l (lrint, 1.4L, 1);
3198 TEST_f_l (lrint, -1.4L, -1);
3200 TEST_f_l (lrint, 8388600.3L, 8388600);
3201 TEST_f_l (lrint, -8388600.3L, -8388600);
3203 TEST_f_l (lrint, 1071930.0008, 1071930);
3205 TEST_f_l (lrint, 1073741824.01, 1073741824);
3206 # if LONG_MAX > 281474976710656
3207 TEST_f_l (lrint, 281474976710656.025, 281474976710656);
3218 /* XXX this test is incomplete. We need to have a way to specifiy
3219 the rounding method and test the critical cases. So far, only
3220 unproblematic numbers are tested. */
3224 TEST_f_L (llrint, 0.0, 0);
3225 TEST_f_L (llrint, minus_zero, 0);
3226 TEST_f_L (llrint, 0.2L, 0);
3227 TEST_f_L (llrint, -0.2L, 0);
3229 TEST_f_L (llrint, 1.4L, 1);
3230 TEST_f_L (llrint, -1.4L, -1);
3232 TEST_f_L (llrint, 8388600.3L, 8388600);
3233 TEST_f_L (llrint, -8388600.3L, -8388600);
3235 TEST_f_l (llrint, 1071930.0008, 1071930);
3237 /* Test boundary conditions. */
3239 TEST_f_L (llrint, 2097151.0,2097151LL);
3241 TEST_f_L (llrint, 8388608.0, 8388608LL);
3243 TEST_f_L (llrint, 16777216.0, 16777216LL);
3245 TEST_f_L (llrint, 2199023255552.0, 2199023255552LL);
3247 TEST_f_L (llrint, 4398046511104.0, 4398046511104LL);
3248 /* 0x1000000000000 */
3249 TEST_f_L (llrint, 281474976710656.0, 281474976710656LL);
3250 /* 0x10000000000000 */
3251 TEST_f_L (llrint, 4503599627370496.0, 4503599627370496LL);
3252 /* 0x10000080000000 */
3253 TEST_f_L (llrint, 4503601774854144.0, 4503601774854144LL);
3254 /* 0x20000000000000 */
3255 TEST_f_L (llrint, 9007199254740992.0, 9007199254740992LL);
3256 /* 0x80000000000000 */
3257 TEST_f_L (llrint, 36028797018963968.0, 36028797018963968LL);
3258 /* 0x100000000000000 */
3259 TEST_f_L (llrint, 72057594037927936.0, 72057594037927936LL);
3261 /* The input can only be represented in long double. */
3262 TEST_f_L (llrint, 4503599627370495.5L, 4503599627370496LL);
3263 TEST_f_L (llrint, 4503599627370496.25L, 4503599627370496LL);
3264 TEST_f_L (llrint, 4503599627370496.5L, 4503599627370496LL);
3265 TEST_f_L (llrint, 4503599627370496.75L, 4503599627370497LL);
3266 TEST_f_L (llrint, 4503599627370497.5L, 4503599627370498LL);
3268 TEST_f_L (llrint, -4503599627370495.5L, -4503599627370496LL);
3269 TEST_f_L (llrint, -4503599627370496.25L, -4503599627370496LL);
3270 TEST_f_L (llrint, -4503599627370496.5L, -4503599627370496LL);
3271 TEST_f_L (llrint, -4503599627370496.75L, -4503599627370497LL);
3272 TEST_f_L (llrint, -4503599627370497.5L, -4503599627370498LL);
3274 TEST_f_L (llrint, 9007199254740991.5L, 9007199254740992LL);
3275 TEST_f_L (llrint, 9007199254740992.25L, 9007199254740992LL);
3276 TEST_f_L (llrint, 9007199254740992.5L, 9007199254740992LL);
3277 TEST_f_L (llrint, 9007199254740992.75L, 9007199254740993LL);
3278 TEST_f_L (llrint, 9007199254740993.5L, 9007199254740994LL);
3280 TEST_f_L (llrint, -9007199254740991.5L, -9007199254740992LL);
3281 TEST_f_L (llrint, -9007199254740992.25L, -9007199254740992LL);
3282 TEST_f_L (llrint, -9007199254740992.5L, -9007199254740992LL);
3283 TEST_f_L (llrint, -9007199254740992.75L, -9007199254740993LL);
3284 TEST_f_L (llrint, -9007199254740993.5L, -9007199254740994LL);
3286 TEST_f_L (llrint, 72057594037927935.5L, 72057594037927936LL);
3287 TEST_f_L (llrint, 72057594037927936.25L, 72057594037927936LL);
3288 TEST_f_L (llrint, 72057594037927936.5L, 72057594037927936LL);
3289 TEST_f_L (llrint, 72057594037927936.75L, 72057594037927937LL);
3290 TEST_f_L (llrint, 72057594037927937.5L, 72057594037927938LL);
3292 TEST_f_L (llrint, -72057594037927935.5L, -72057594037927936LL);
3293 TEST_f_L (llrint, -72057594037927936.25L, -72057594037927936LL);
3294 TEST_f_L (llrint, -72057594037927936.5L, -72057594037927936LL);
3295 TEST_f_L (llrint, -72057594037927936.75L, -72057594037927937LL);
3296 TEST_f_L (llrint, -72057594037927937.5L, -72057594037927938LL);
3308 if (errno == ENOSYS)
3309 /* Function not implemented. */
3313 TEST_f_f (log, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3314 TEST_f_f (log, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3316 TEST_f_f (log, 1, 0);
3318 TEST_f_f (log, -1, nan_value, INVALID_EXCEPTION);
3319 TEST_f_f (log, plus_infty, plus_infty);
3321 TEST_f_f (log, M_El, 1);
3322 TEST_f_f (log, 1.0 / M_El, -1);
3323 TEST_f_f (log, 2, M_LN2l);
3324 TEST_f_f (log, 10, M_LN10l);
3325 TEST_f_f (log, 0.75L, -0.287682072451780927439219005993827432L);
3336 if (errno == ENOSYS)
3337 /* Function not implemented. */
3342 TEST_f_f (log10, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3343 TEST_f_f (log10, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3345 TEST_f_f (log10, 1, 0);
3347 /* log10 (x) == NaN plus invalid exception if x < 0. */
3348 TEST_f_f (log10, -1, nan_value, INVALID_EXCEPTION);
3350 TEST_f_f (log10, plus_infty, plus_infty);
3351 TEST_f_f (log10, nan_value, nan_value);
3353 TEST_f_f (log10, 0.1L, -1);
3354 TEST_f_f (log10, 10.0, 1);
3355 TEST_f_f (log10, 100.0, 2);
3356 TEST_f_f (log10, 10000.0, 4);
3357 TEST_f_f (log10, M_El, M_LOG10El);
3358 TEST_f_f (log10, 0.75L, -0.124938736608299953132449886193870744L);
3369 if (errno == ENOSYS)
3370 /* Function not implemented. */
3375 TEST_f_f (log1p, 0, 0);
3376 TEST_f_f (log1p, minus_zero, minus_zero);
3378 TEST_f_f (log1p, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3379 TEST_f_f (log1p, -2, nan_value, INVALID_EXCEPTION);
3381 TEST_f_f (log1p, plus_infty, plus_infty);
3382 TEST_f_f (log1p, nan_value, nan_value);
3384 TEST_f_f (log1p, M_El - 1.0, 1);
3386 TEST_f_f (log1p, -0.25L, -0.287682072451780927439219005993827432L);
3387 TEST_f_f (log1p, -0.875, -2.07944154167983592825169636437452970L);
3398 if (errno == ENOSYS)
3399 /* Function not implemented. */
3404 TEST_f_f (log2, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3405 TEST_f_f (log2, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3407 TEST_f_f (log2, 1, 0);
3409 TEST_f_f (log2, -1, nan_value, INVALID_EXCEPTION);
3411 TEST_f_f (log2, plus_infty, plus_infty);
3412 TEST_f_f (log2, nan_value, nan_value);
3414 TEST_f_f (log2, M_El, M_LOG2El);
3415 TEST_f_f (log2, 2.0, 1);
3416 TEST_f_f (log2, 16.0, 4);
3417 TEST_f_f (log2, 256.0, 8);
3418 TEST_f_f (log2, 0.75L, -.415037499278843818546261056052183492L);
3429 TEST_f_f (logb, plus_infty, plus_infty);
3430 TEST_f_f (logb, minus_infty, plus_infty);
3432 TEST_f_f (logb, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3434 TEST_f_f (logb, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3435 TEST_f_f (logb, nan_value, nan_value);
3437 TEST_f_f (logb, 1, 0);
3438 TEST_f_f (logb, M_El, 1);
3439 TEST_f_f (logb, 1024, 10);
3440 TEST_f_f (logb, -2000, 10);
3451 TEST_f_l (lround, 0, 0);
3452 TEST_f_l (lround, minus_zero, 0);
3453 TEST_f_l (lround, 0.2L, 0.0);
3454 TEST_f_l (lround, -0.2L, 0);
3455 TEST_f_l (lround, 0.5, 1);
3456 TEST_f_l (lround, -0.5, -1);
3457 TEST_f_l (lround, 0.8L, 1);
3458 TEST_f_l (lround, -0.8L, -1);
3459 TEST_f_l (lround, 1.5, 2);
3460 TEST_f_l (lround, -1.5, -2);
3461 TEST_f_l (lround, 22514.5, 22515);
3462 TEST_f_l (lround, -22514.5, -22515);
3463 TEST_f_l (lround, 1071930.0008, 1071930);
3465 TEST_f_l (lround, 1073741824.01, 1073741824);
3466 # if LONG_MAX > 281474976710656
3467 TEST_f_l (lround, 281474976710656.025, 281474976710656);
3469 TEST_f_l (lround, 2097152.5, 2097153);
3470 TEST_f_l (lround, -2097152.5, -2097153);
3481 TEST_f_L (llround, 0, 0);
3482 TEST_f_L (llround, minus_zero, 0);
3483 TEST_f_L (llround, 0.2L, 0.0);
3484 TEST_f_L (llround, -0.2L, 0);
3485 TEST_f_L (llround, 0.5, 1);
3486 TEST_f_L (llround, -0.5, -1);
3487 TEST_f_L (llround, 0.8L, 1);
3488 TEST_f_L (llround, -0.8L, -1);
3489 TEST_f_L (llround, 1.5, 2);
3490 TEST_f_L (llround, -1.5, -2);
3491 TEST_f_L (llround, 22514.5, 22515);
3492 TEST_f_L (llround, -22514.5, -22515);
3493 TEST_f_l (llround, 1071930.0008, 1071930);
3495 TEST_f_L (llround, 2097152.5, 2097153);
3496 TEST_f_L (llround, -2097152.5, -2097153);
3497 TEST_f_L (llround, 34359738368.5, 34359738369ll);
3498 TEST_f_L (llround, -34359738368.5, -34359738369ll);
3501 /* Test boundary conditions. */
3503 TEST_f_L (llround, 2097151.0, 2097151LL);
3505 TEST_f_L (llround, 8388608.0, 8388608LL);
3507 TEST_f_L (llround, 16777216.0, 16777216LL);
3509 TEST_f_L (llround, 2199023255552.0, 2199023255552LL);
3511 TEST_f_L (llround, 4398046511104.0, 4398046511104LL);
3512 /* 0x1000000000000 */
3513 TEST_f_L (llround, 281474976710656.0, 281474976710656LL);
3514 /* 0x10000000000000 */
3515 TEST_f_L (llround, 4503599627370496.0, 4503599627370496LL);
3516 /* 0x10000080000000 */
3517 TEST_f_L (llround, 4503601774854144.0, 4503601774854144LL);
3518 /* 0x20000000000000 */
3519 TEST_f_L (llround, 9007199254740992.0, 9007199254740992LL);
3520 /* 0x80000000000000 */
3521 TEST_f_L (llround, 36028797018963968.0, 36028797018963968LL);
3522 /* 0x100000000000000 */
3523 TEST_f_L (llround, 72057594037927936.0, 72057594037927936LL);
3527 TEST_f_L (llround, 4294967295.5, 4294967296LL);
3529 TEST_f_L (llround, 8589934591.5, 8589934592LL);
3533 /* The input can only be represented in long double. */
3534 TEST_f_L (llround, 4503599627370495.5L, 4503599627370496LL);
3535 TEST_f_L (llround, 4503599627370496.25L, 4503599627370496LL);
3536 TEST_f_L (llround, 4503599627370496.5L, 4503599627370497LL);
3537 TEST_f_L (llround, 4503599627370496.75L, 4503599627370497LL);
3538 TEST_f_L (llround, 4503599627370497.5L, 4503599627370498LL);
3540 TEST_f_L (llround, -4503599627370495.5L, -4503599627370496LL);
3541 TEST_f_L (llround, -4503599627370496.25L, -4503599627370496LL);
3542 TEST_f_L (llround, -4503599627370496.5L, -4503599627370497LL);
3543 TEST_f_L (llround, -4503599627370496.75L, -4503599627370497LL);
3544 TEST_f_L (llround, -4503599627370497.5L, -4503599627370498LL);
3546 TEST_f_L (llround, 9007199254740991.5L, 9007199254740992LL);
3547 TEST_f_L (llround, 9007199254740992.25L, 9007199254740992LL);
3548 TEST_f_L (llround, 9007199254740992.5L, 9007199254740993LL);
3549 TEST_f_L (llround, 9007199254740992.75L, 9007199254740993LL);
3550 TEST_f_L (llround, 9007199254740993.5L, 9007199254740994LL);
3552 TEST_f_L (llround, -9007199254740991.5L, -9007199254740992LL);
3553 TEST_f_L (llround, -9007199254740992.25L, -9007199254740992LL);
3554 TEST_f_L (llround, -9007199254740992.5L, -9007199254740993LL);
3555 TEST_f_L (llround, -9007199254740992.75L, -9007199254740993LL);
3556 TEST_f_L (llround, -9007199254740993.5L, -9007199254740994LL);
3558 TEST_f_L (llround, 72057594037927935.5L, 72057594037927936LL);
3559 TEST_f_L (llround, 72057594037927936.25L, 72057594037927936LL);
3560 TEST_f_L (llround, 72057594037927936.5L, 72057594037927937LL);
3561 TEST_f_L (llround, 72057594037927936.75L, 72057594037927937LL);
3562 TEST_f_L (llround, 72057594037927937.5L, 72057594037927938LL);
3564 TEST_f_L (llround, -72057594037927935.5L, -72057594037927936LL);
3565 TEST_f_L (llround, -72057594037927936.25L, -72057594037927936LL);
3566 TEST_f_L (llround, -72057594037927936.5L, -72057594037927937LL);
3567 TEST_f_L (llround, -72057594037927936.75L, -72057594037927937LL);
3568 TEST_f_L (llround, -72057594037927937.5L, -72057594037927938LL);
3570 TEST_f_L (llround, 9223372036854775806.25L, 9223372036854775806LL);
3571 TEST_f_L (llround, -9223372036854775806.25L, -9223372036854775806LL);
3572 TEST_f_L (llround, 9223372036854775806.5L, 9223372036854775807LL);
3573 TEST_f_L (llround, -9223372036854775806.5L, -9223372036854775807LL);
3574 TEST_f_L (llround, 9223372036854775807.0L, 9223372036854775807LL);
3575 TEST_f_L (llround, -9223372036854775807.0L, -9223372036854775807LL);
3588 TEST_fF_f1 (modf, plus_infty, 0, plus_infty);
3589 TEST_fF_f1 (modf, minus_infty, minus_zero, minus_infty);
3590 TEST_fF_f1 (modf, nan_value, nan_value, nan_value);
3591 TEST_fF_f1 (modf, 0, 0, 0);
3592 TEST_fF_f1 (modf, 1.5, 0.5, 1);
3593 TEST_fF_f1 (modf, 2.5, 0.5, 2);
3594 TEST_fF_f1 (modf, -2.5, -0.5, -2);
3595 TEST_fF_f1 (modf, 20, 0, 20);
3596 TEST_fF_f1 (modf, 21, 0, 21);
3597 TEST_fF_f1 (modf, 89.5, 0.5, 89);
3604 nearbyint_test (void)
3608 TEST_f_f (nearbyint, 0.0, 0.0);
3609 TEST_f_f (nearbyint, minus_zero, minus_zero);
3610 TEST_f_f (nearbyint, plus_infty, plus_infty);
3611 TEST_f_f (nearbyint, minus_infty, minus_infty);
3612 TEST_f_f (nearbyint, nan_value, nan_value);
3614 /* Default rounding mode is round to nearest. */
3615 TEST_f_f (nearbyint, 0.5, 0.0);
3616 TEST_f_f (nearbyint, 1.5, 2.0);
3617 TEST_f_f (nearbyint, -0.5, minus_zero);
3618 TEST_f_f (nearbyint, -1.5, -2.0);
3624 nextafter_test (void)
3629 TEST_ff_f (nextafter, 0, 0, 0);
3630 TEST_ff_f (nextafter, minus_zero, 0, 0);
3631 TEST_ff_f (nextafter, 0, minus_zero, minus_zero);
3632 TEST_ff_f (nextafter, minus_zero, minus_zero, minus_zero);
3634 TEST_ff_f (nextafter, 9, 9, 9);
3635 TEST_ff_f (nextafter, -9, -9, -9);
3636 TEST_ff_f (nextafter, plus_infty, plus_infty, plus_infty);
3637 TEST_ff_f (nextafter, minus_infty, minus_infty, minus_infty);
3639 TEST_ff_f (nextafter, nan_value, 1.1L, nan_value);
3640 TEST_ff_f (nextafter, 1.1L, nan_value, nan_value);
3641 TEST_ff_f (nextafter, nan_value, nan_value, nan_value);
3643 FLOAT fltmax = CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX,
3644 LDBL_MAX, DBL_MAX, FLT_MAX);
3645 TEST_ff_f (nextafter, fltmax, plus_infty, plus_infty);
3646 TEST_ff_f (nextafter, -fltmax, minus_infty, minus_infty);
3649 // XXX Enable once gcc is fixed.
3650 //TEST_ff_f (nextafter, 0x0.00000040000000000000p-16385L, -0.1L, 0x0.0000003ffffffff00000p-16385L);
3653 /* XXX We need the hexadecimal FP number representation here for further
3661 nexttoward_test (void)
3664 TEST_ff_f (nexttoward, 0, 0, 0);
3665 TEST_ff_f (nexttoward, minus_zero, 0, 0);
3666 TEST_ff_f (nexttoward, 0, minus_zero, minus_zero);
3667 TEST_ff_f (nexttoward, minus_zero, minus_zero, minus_zero);
3669 TEST_ff_f (nexttoward, 9, 9, 9);
3670 TEST_ff_f (nexttoward, -9, -9, -9);
3671 TEST_ff_f (nexttoward, plus_infty, plus_infty, plus_infty);
3672 TEST_ff_f (nexttoward, minus_infty, minus_infty, minus_infty);
3674 TEST_ff_f (nexttoward, nan_value, 1.1L, nan_value);
3675 TEST_ff_f (nexttoward, 1.1L, nan_value, nan_value);
3676 TEST_ff_f (nexttoward, nan_value, nan_value, nan_value);
3678 /* XXX We need the hexadecimal FP number representation here for further
3691 if (errno == ENOSYS)
3692 /* Function not implemented. */
3697 TEST_ff_f (pow, 0, 0, 1);
3698 TEST_ff_f (pow, 0, minus_zero, 1);
3699 TEST_ff_f (pow, minus_zero, 0, 1);
3700 TEST_ff_f (pow, minus_zero, minus_zero, 1);
3702 TEST_ff_f (pow, 10, 0, 1);
3703 TEST_ff_f (pow, 10, minus_zero, 1);
3704 TEST_ff_f (pow, -10, 0, 1);
3705 TEST_ff_f (pow, -10, minus_zero, 1);
3707 TEST_ff_f (pow, nan_value, 0, 1);
3708 TEST_ff_f (pow, nan_value, minus_zero, 1);
3712 TEST_ff_f (pow, 1.1L, plus_infty, plus_infty);
3713 TEST_ff_f (pow, plus_infty, plus_infty, plus_infty);
3714 TEST_ff_f (pow, -1.1L, plus_infty, plus_infty);
3715 TEST_ff_f (pow, minus_infty, plus_infty, plus_infty);
3717 TEST_ff_f (pow, 0.9L, plus_infty, 0);
3718 TEST_ff_f (pow, 1e-7L, plus_infty, 0);
3719 TEST_ff_f (pow, -0.9L, plus_infty, 0);
3720 TEST_ff_f (pow, -1e-7L, plus_infty, 0);
3722 TEST_ff_f (pow, 1.1L, minus_infty, 0);
3723 TEST_ff_f (pow, plus_infty, minus_infty, 0);
3724 TEST_ff_f (pow, -1.1L, minus_infty, 0);
3725 TEST_ff_f (pow, minus_infty, minus_infty, 0);
3727 TEST_ff_f (pow, 0.9L, minus_infty, plus_infty);
3728 TEST_ff_f (pow, 1e-7L, minus_infty, plus_infty);
3729 TEST_ff_f (pow, -0.9L, minus_infty, plus_infty);
3730 TEST_ff_f (pow, -1e-7L, minus_infty, plus_infty);
3732 TEST_ff_f (pow, plus_infty, 1e-7L, plus_infty);
3733 TEST_ff_f (pow, plus_infty, 1, plus_infty);
3734 TEST_ff_f (pow, plus_infty, 1e7L, plus_infty);
3736 TEST_ff_f (pow, plus_infty, -1e-7L, 0);
3737 TEST_ff_f (pow, plus_infty, -1, 0);
3738 TEST_ff_f (pow, plus_infty, -1e7L, 0);
3740 TEST_ff_f (pow, minus_infty, 1, minus_infty);
3741 TEST_ff_f (pow, minus_infty, 11, minus_infty);
3742 TEST_ff_f (pow, minus_infty, 1001, minus_infty);
3744 TEST_ff_f (pow, minus_infty, 2, plus_infty);
3745 TEST_ff_f (pow, minus_infty, 12, plus_infty);
3746 TEST_ff_f (pow, minus_infty, 1002, plus_infty);
3747 TEST_ff_f (pow, minus_infty, 0.1L, plus_infty);
3748 TEST_ff_f (pow, minus_infty, 1.1L, plus_infty);
3749 TEST_ff_f (pow, minus_infty, 11.1L, plus_infty);
3750 TEST_ff_f (pow, minus_infty, 1001.1L, plus_infty);
3752 TEST_ff_f (pow, minus_infty, -1, minus_zero);
3753 TEST_ff_f (pow, minus_infty, -11, minus_zero);
3754 TEST_ff_f (pow, minus_infty, -1001, minus_zero);
3756 TEST_ff_f (pow, minus_infty, -2, 0);
3757 TEST_ff_f (pow, minus_infty, -12, 0);
3758 TEST_ff_f (pow, minus_infty, -1002, 0);
3759 TEST_ff_f (pow, minus_infty, -0.1L, 0);
3760 TEST_ff_f (pow, minus_infty, -1.1L, 0);
3761 TEST_ff_f (pow, minus_infty, -11.1L, 0);
3762 TEST_ff_f (pow, minus_infty, -1001.1L, 0);
3765 TEST_ff_f (pow, nan_value, nan_value, nan_value);
3766 TEST_ff_f (pow, 0, nan_value, nan_value);
3767 TEST_ff_f (pow, 1, nan_value, 1);
3768 TEST_ff_f (pow, -1, nan_value, nan_value);
3769 TEST_ff_f (pow, nan_value, 1, nan_value);
3770 TEST_ff_f (pow, nan_value, -1, nan_value);
3772 /* pow (x, NaN) == NaN. */
3773 TEST_ff_f (pow, 3.0, nan_value, nan_value);
3775 TEST_ff_f (pow, 1, plus_infty, 1);
3776 TEST_ff_f (pow, -1, plus_infty, 1);
3777 TEST_ff_f (pow, 1, minus_infty, 1);
3778 TEST_ff_f (pow, -1, minus_infty, 1);
3779 TEST_ff_f (pow, 1, 1, 1);
3780 TEST_ff_f (pow, 1, -1, 1);
3781 TEST_ff_f (pow, 1, 1.25, 1);
3782 TEST_ff_f (pow, 1, -1.25, 1);
3783 TEST_ff_f (pow, 1, 0x1p62L, 1);
3784 TEST_ff_f (pow, 1, 0x1p63L, 1);
3785 TEST_ff_f (pow, 1, 0x1p64L, 1);
3786 TEST_ff_f (pow, 1, 0x1p72L, 1);
3788 /* pow (x, +-0) == 1. */
3789 TEST_ff_f (pow, plus_infty, 0, 1);
3790 TEST_ff_f (pow, plus_infty, minus_zero, 1);
3791 TEST_ff_f (pow, minus_infty, 0, 1);
3792 TEST_ff_f (pow, minus_infty, minus_zero, 1);
3793 TEST_ff_f (pow, 32.75L, 0, 1);
3794 TEST_ff_f (pow, 32.75L, minus_zero, 1);
3795 TEST_ff_f (pow, -32.75L, 0, 1);
3796 TEST_ff_f (pow, -32.75L, minus_zero, 1);
3797 TEST_ff_f (pow, 0x1p72L, 0, 1);
3798 TEST_ff_f (pow, 0x1p72L, minus_zero, 1);
3799 TEST_ff_f (pow, 0x1p-72L, 0, 1);
3800 TEST_ff_f (pow, 0x1p-72L, minus_zero, 1);
3802 TEST_ff_f (pow, -0.1L, 1.1L, nan_value, INVALID_EXCEPTION);
3803 TEST_ff_f (pow, -0.1L, -1.1L, nan_value, INVALID_EXCEPTION);
3804 TEST_ff_f (pow, -10.1L, 1.1L, nan_value, INVALID_EXCEPTION);
3805 TEST_ff_f (pow, -10.1L, -1.1L, nan_value, INVALID_EXCEPTION);
3807 TEST_ff_f (pow, 0, -1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3808 TEST_ff_f (pow, 0, -11, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3809 TEST_ff_f (pow, minus_zero, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3810 TEST_ff_f (pow, minus_zero, -11, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3812 TEST_ff_f (pow, 0, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3813 TEST_ff_f (pow, 0, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3814 TEST_ff_f (pow, minus_zero, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3815 TEST_ff_f (pow, minus_zero, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3817 TEST_ff_f (pow, 0x1p72L, 0x1p72L, plus_infty);
3818 TEST_ff_f (pow, 10, -0x1p72L, 0);
3819 TEST_ff_f (pow, max_value, max_value, plus_infty);
3820 TEST_ff_f (pow, 10, -max_value, 0);
3822 TEST_ff_f (pow, 0, 1, 0);
3823 TEST_ff_f (pow, 0, 11, 0);
3825 TEST_ff_f (pow, minus_zero, 1, minus_zero);
3826 TEST_ff_f (pow, minus_zero, 11, minus_zero);
3829 TEST_ff_f (pow, 0, 2, 0);
3830 TEST_ff_f (pow, 0, 11.1L, 0);
3833 TEST_ff_f (pow, minus_zero, 2, 0);
3834 TEST_ff_f (pow, minus_zero, 11.1L, 0);
3835 TEST_ff_f (pow, 0, plus_infty, 0);
3836 TEST_ff_f (pow, minus_zero, plus_infty, 0);
3839 /* pow (x, +inf) == +inf for |x| > 1. */
3840 TEST_ff_f (pow, 1.5, plus_infty, plus_infty);
3842 /* pow (x, +inf) == +0 for |x| < 1. */
3843 TEST_ff_f (pow, 0.5, plus_infty, 0.0);
3845 /* pow (x, -inf) == +0 for |x| > 1. */
3846 TEST_ff_f (pow, 1.5, minus_infty, 0.0);
3848 /* pow (x, -inf) == +inf for |x| < 1. */
3849 TEST_ff_f (pow, 0.5, minus_infty, plus_infty);
3852 /* pow (+inf, y) == +inf for y > 0. */
3853 TEST_ff_f (pow, plus_infty, 2, plus_infty);
3855 /* pow (+inf, y) == +0 for y < 0. */
3856 TEST_ff_f (pow, plus_infty, -1, 0.0);
3858 /* pow (-inf, y) == -inf for y an odd integer > 0. */
3859 TEST_ff_f (pow, minus_infty, 27, minus_infty);
3861 /* pow (-inf, y) == +inf for y > 0 and not an odd integer. */
3862 TEST_ff_f (pow, minus_infty, 28, plus_infty);
3864 /* pow (-inf, y) == -0 for y an odd integer < 0. */
3865 TEST_ff_f (pow, minus_infty, -3, minus_zero);
3866 /* pow (-inf, y) == +0 for y < 0 and not an odd integer. */
3867 TEST_ff_f (pow, minus_infty, -2.0, 0.0);
3869 /* pow (+0, y) == +0 for y an odd integer > 0. */
3870 TEST_ff_f (pow, 0.0, 27, 0.0);
3872 /* pow (-0, y) == -0 for y an odd integer > 0. */
3873 TEST_ff_f (pow, minus_zero, 27, minus_zero);
3875 /* pow (+0, y) == +0 for y > 0 and not an odd integer. */
3876 TEST_ff_f (pow, 0.0, 4, 0.0);
3878 /* pow (-0, y) == +0 for y > 0 and not an odd integer. */
3879 TEST_ff_f (pow, minus_zero, 4, 0.0);
3881 TEST_ff_f (pow, 16, 0.25L, 2);
3882 TEST_ff_f (pow, 0x1p64L, 0.125L, 256);
3883 TEST_ff_f (pow, 2, 4, 16);
3884 TEST_ff_f (pow, 256, 8, 0x1p64L);
3886 TEST_ff_f (pow, 0.75L, 1.25L, 0.697953644326574699205914060237425566L);
3888 #if defined TEST_DOUBLE || defined TEST_LDOUBLE
3889 TEST_ff_f (pow, -7.49321e+133, -9.80818e+16, 0);
3896 remainder_test (void)
3899 FUNC(remainder) (1.625, 1.0);
3900 if (errno == ENOSYS)
3901 /* Function not implemented. */
3906 TEST_ff_f (remainder, 1, 0, nan_value, INVALID_EXCEPTION);
3907 TEST_ff_f (remainder, 1, minus_zero, nan_value, INVALID_EXCEPTION);
3908 TEST_ff_f (remainder, plus_infty, 1, nan_value, INVALID_EXCEPTION);
3909 TEST_ff_f (remainder, minus_infty, 1, nan_value, INVALID_EXCEPTION);
3910 TEST_ff_f (remainder, nan_value, nan_value, nan_value);
3912 TEST_ff_f (remainder, 1.625, 1.0, -0.375);
3913 TEST_ff_f (remainder, -1.625, 1.0, 0.375);
3914 TEST_ff_f (remainder, 1.625, -1.0, -0.375);
3915 TEST_ff_f (remainder, -1.625, -1.0, 0.375);
3916 TEST_ff_f (remainder, 5.0, 2.0, 1.0);
3917 TEST_ff_f (remainder, 3.0, 2.0, -1.0);
3929 FUNC(remquo) (1.625, 1.0, &x);
3930 if (errno == ENOSYS)
3931 /* Function not implemented. */
3936 TEST_ffI_f1 (remquo, 1, 0, nan_value, IGNORE, INVALID_EXCEPTION);
3937 TEST_ffI_f1 (remquo, 1, minus_zero, nan_value, IGNORE, INVALID_EXCEPTION);
3938 TEST_ffI_f1 (remquo, plus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION);
3939 TEST_ffI_f1 (remquo, minus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION);
3940 TEST_ffI_f1 (remquo, nan_value, nan_value, nan_value, IGNORE);
3942 TEST_ffI_f1 (remquo, 1.625, 1.0, -0.375, 2);
3943 TEST_ffI_f1 (remquo, -1.625, 1.0, 0.375, -2);
3944 TEST_ffI_f1 (remquo, 1.625, -1.0, -0.375, -2);
3945 TEST_ffI_f1 (remquo, -1.625, -1.0, 0.375, 2);
3947 TEST_ffI_f1 (remquo, 5, 2, 1, 2);
3948 TEST_ffI_f1 (remquo, 3, 2, -1, 2);
3958 TEST_f_f (rint, 0.0, 0.0);
3959 TEST_f_f (rint, minus_zero, minus_zero);
3960 TEST_f_f (rint, plus_infty, plus_infty);
3961 TEST_f_f (rint, minus_infty, minus_infty);
3963 /* Default rounding mode is round to even. */
3964 TEST_f_f (rint, 0.5, 0.0);
3965 TEST_f_f (rint, 1.5, 2.0);
3966 TEST_f_f (rint, 2.5, 2.0);
3967 TEST_f_f (rint, 3.5, 4.0);
3968 TEST_f_f (rint, 4.5, 4.0);
3969 TEST_f_f (rint, -0.5, -0.0);
3970 TEST_f_f (rint, -1.5, -2.0);
3971 TEST_f_f (rint, -2.5, -2.0);
3972 TEST_f_f (rint, -3.5, -4.0);
3973 TEST_f_f (rint, -4.5, -4.0);
3975 /* The result can only be represented in long double. */
3976 TEST_f_f (rint, 4503599627370495.5L, 4503599627370496.0L);
3977 TEST_f_f (rint, 4503599627370496.25L, 4503599627370496.0L);
3978 TEST_f_f (rint, 4503599627370496.5L, 4503599627370496.0L);
3979 TEST_f_f (rint, 4503599627370496.75L, 4503599627370497.0L);
3980 TEST_f_f (rint, 4503599627370497.5L, 4503599627370498.0L);
3982 TEST_f_f (rint, -4503599627370495.5L, -4503599627370496.0L);
3983 TEST_f_f (rint, -4503599627370496.25L, -4503599627370496.0L);
3984 TEST_f_f (rint, -4503599627370496.5L, -4503599627370496.0L);
3985 TEST_f_f (rint, -4503599627370496.75L, -4503599627370497.0L);
3986 TEST_f_f (rint, -4503599627370497.5L, -4503599627370498.0L);
3988 TEST_f_f (rint, 9007199254740991.5L, 9007199254740992.0L);
3989 TEST_f_f (rint, 9007199254740992.25L, 9007199254740992.0L);
3990 TEST_f_f (rint, 9007199254740992.5L, 9007199254740992.0L);
3991 TEST_f_f (rint, 9007199254740992.75L, 9007199254740993.0L);
3992 TEST_f_f (rint, 9007199254740993.5L, 9007199254740994.0L);
3994 TEST_f_f (rint, -9007199254740991.5L, -9007199254740992.0L);
3995 TEST_f_f (rint, -9007199254740992.25L, -9007199254740992.0L);
3996 TEST_f_f (rint, -9007199254740992.5L, -9007199254740992.0L);
3997 TEST_f_f (rint, -9007199254740992.75L, -9007199254740993.0L);
3998 TEST_f_f (rint, -9007199254740993.5L, -9007199254740994.0L);
4000 TEST_f_f (rint, 72057594037927935.5L, 72057594037927936.0L);
4001 TEST_f_f (rint, 72057594037927936.25L, 72057594037927936.0L);
4002 TEST_f_f (rint, 72057594037927936.5L, 72057594037927936.0L);
4003 TEST_f_f (rint, 72057594037927936.75L, 72057594037927937.0L);
4004 TEST_f_f (rint, 72057594037927937.5L, 72057594037927938.0L);
4006 TEST_f_f (rint, -72057594037927935.5L, -72057594037927936.0L);
4007 TEST_f_f (rint, -72057594037927936.25L, -72057594037927936.0L);
4008 TEST_f_f (rint, -72057594037927936.5L, -72057594037927936.0L);
4009 TEST_f_f (rint, -72057594037927936.75L, -72057594037927937.0L);
4010 TEST_f_f (rint, -72057594037927937.5L, -72057594037927938.0L);
4012 TEST_f_f (rint, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
4013 TEST_f_f (rint, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4014 TEST_f_f (rint, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
4015 TEST_f_f (rint, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
4016 TEST_f_f (rint, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
4023 rint_test_tonearest (void)
4025 int save_round_mode;
4026 START (rint_tonearest);
4028 save_round_mode = fegetround();
4030 if (!fesetround (FE_TONEAREST))
4032 TEST_f_f (rint, 2.0, 2.0);
4033 TEST_f_f (rint, 1.5, 2.0);
4034 TEST_f_f (rint, 1.0, 1.0);
4035 TEST_f_f (rint, 0.5, 0.0);
4036 TEST_f_f (rint, 0.0, 0.0);
4037 TEST_f_f (rint, minus_zero, minus_zero);
4038 TEST_f_f (rint, -0.5, -0.0);
4039 TEST_f_f (rint, -1.0, -1.0);
4040 TEST_f_f (rint, -1.5, -2.0);
4041 TEST_f_f (rint, -2.0, -2.0);
4044 fesetround(save_round_mode);
4046 END (rint_tonearest);
4050 rint_test_towardzero (void)
4052 int save_round_mode;
4053 START (rint_towardzero);
4055 save_round_mode = fegetround();
4057 if (!fesetround (FE_TOWARDZERO))
4059 TEST_f_f (rint, 2.0, 2.0);
4060 TEST_f_f (rint, 1.5, 1.0);
4061 TEST_f_f (rint, 1.0, 1.0);
4062 TEST_f_f (rint, 0.5, 0.0);
4063 TEST_f_f (rint, 0.0, 0.0);
4064 TEST_f_f (rint, minus_zero, minus_zero);
4065 TEST_f_f (rint, -0.5, -0.0);
4066 TEST_f_f (rint, -1.0, -1.0);
4067 TEST_f_f (rint, -1.5, -1.0);
4068 TEST_f_f (rint, -2.0, -2.0);
4071 fesetround(save_round_mode);
4073 END (rint_towardzero);
4077 rint_test_downward (void)
4079 int save_round_mode;
4080 START (rint_downward);
4082 save_round_mode = fegetround();
4084 if (!fesetround (FE_DOWNWARD))
4086 TEST_f_f (rint, 2.0, 2.0);
4087 TEST_f_f (rint, 1.5, 1.0);
4088 TEST_f_f (rint, 1.0, 1.0);
4089 TEST_f_f (rint, 0.5, 0.0);
4090 TEST_f_f (rint, 0.0, 0.0);
4091 TEST_f_f (rint, minus_zero, minus_zero);
4092 TEST_f_f (rint, -0.5, -1.0);
4093 TEST_f_f (rint, -1.0, -1.0);
4094 TEST_f_f (rint, -1.5, -2.0);
4095 TEST_f_f (rint, -2.0, -2.0);
4098 fesetround(save_round_mode);
4100 END (rint_downward);
4104 rint_test_upward (void)
4106 int save_round_mode;
4107 START (rint_upward);
4109 save_round_mode = fegetround();
4111 if (!fesetround (FE_UPWARD))
4113 TEST_f_f (rint, 2.0, 2.0);
4114 TEST_f_f (rint, 1.5, 2.0);
4115 TEST_f_f (rint, 1.0, 1.0);
4116 TEST_f_f (rint, 0.5, 1.0);
4117 TEST_f_f (rint, 0.0, 0.0);
4118 TEST_f_f (rint, minus_zero, minus_zero);
4119 TEST_f_f (rint, -0.5, -0.0);
4120 TEST_f_f (rint, -1.0, -1.0);
4121 TEST_f_f (rint, -1.5, -1.0);
4122 TEST_f_f (rint, -2.0, -2.0);
4125 fesetround(save_round_mode);
4135 TEST_f_f (round, 0, 0);
4136 TEST_f_f (round, minus_zero, minus_zero);
4137 TEST_f_f (round, 0.2L, 0.0);
4138 TEST_f_f (round, -0.2L, minus_zero);
4139 TEST_f_f (round, 0.5, 1.0);
4140 TEST_f_f (round, -0.5, -1.0);
4141 TEST_f_f (round, 0.8L, 1.0);
4142 TEST_f_f (round, -0.8L, -1.0);
4143 TEST_f_f (round, 1.5, 2.0);
4144 TEST_f_f (round, -1.5, -2.0);
4145 TEST_f_f (round, 2097152.5, 2097153);
4146 TEST_f_f (round, -2097152.5, -2097153);
4149 /* The result can only be represented in long double. */
4150 TEST_f_f (round, 4503599627370495.5L, 4503599627370496.0L);
4151 TEST_f_f (round, 4503599627370496.25L, 4503599627370496.0L);
4152 TEST_f_f (round, 4503599627370496.5L, 4503599627370497.0L);
4153 TEST_f_f (round, 4503599627370496.75L, 4503599627370497.0L);
4154 TEST_f_f (round, 4503599627370497.5L, 4503599627370498.0L);
4156 TEST_f_f (round, -4503599627370495.5L, -4503599627370496.0L);
4157 TEST_f_f (round, -4503599627370496.25L, -4503599627370496.0L);
4158 TEST_f_f (round, -4503599627370496.5L, -4503599627370497.0L);
4159 TEST_f_f (round, -4503599627370496.75L, -4503599627370497.0L);
4160 TEST_f_f (round, -4503599627370497.5L, -4503599627370498.0L);
4162 TEST_f_f (round, 9007199254740991.5L, 9007199254740992.0L);
4163 TEST_f_f (round, 9007199254740992.25L, 9007199254740992.0L);
4164 TEST_f_f (round, 9007199254740992.5L, 9007199254740993.0L);
4165 TEST_f_f (round, 9007199254740992.75L, 9007199254740993.0L);
4166 TEST_f_f (round, 9007199254740993.5L, 9007199254740994.0L);
4168 TEST_f_f (round, -9007199254740991.5L, -9007199254740992.0L);
4169 TEST_f_f (round, -9007199254740992.25L, -9007199254740992.0L);
4170 TEST_f_f (round, -9007199254740992.5L, -9007199254740993.0L);
4171 TEST_f_f (round, -9007199254740992.75L, -9007199254740993.0L);
4172 TEST_f_f (round, -9007199254740993.5L, -9007199254740994.0L);
4174 TEST_f_f (round, 72057594037927935.5L, 72057594037927936.0L);
4175 TEST_f_f (round, 72057594037927936.25L, 72057594037927936.0L);
4176 TEST_f_f (round, 72057594037927936.5L, 72057594037927937.0L);
4177 TEST_f_f (round, 72057594037927936.75L, 72057594037927937.0L);
4178 TEST_f_f (round, 72057594037927937.5L, 72057594037927938.0L);
4180 TEST_f_f (round, -72057594037927935.5L, -72057594037927936.0L);
4181 TEST_f_f (round, -72057594037927936.25L, -72057594037927936.0L);
4182 TEST_f_f (round, -72057594037927936.5L, -72057594037927937.0L);
4183 TEST_f_f (round, -72057594037927936.75L, -72057594037927937.0L);
4184 TEST_f_f (round, -72057594037927937.5L, -72057594037927938.0L);
4186 TEST_f_f (round, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
4187 TEST_f_f (round, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4188 TEST_f_f (round, 10141204801825835211973625643008.5L, 10141204801825835211973625643009.0L);
4189 TEST_f_f (round, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
4190 TEST_f_f (round, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
4203 TEST_ff_f (scalb, 2.0, 0.5, nan_value, INVALID_EXCEPTION);
4204 TEST_ff_f (scalb, 3.0, -2.5, nan_value, INVALID_EXCEPTION);
4206 TEST_ff_f (scalb, 0, nan_value, nan_value);
4207 TEST_ff_f (scalb, 1, nan_value, nan_value);
4209 TEST_ff_f (scalb, 1, 0, 1);
4210 TEST_ff_f (scalb, -1, 0, -1);
4212 TEST_ff_f (scalb, 0, plus_infty, nan_value, INVALID_EXCEPTION);
4213 TEST_ff_f (scalb, minus_zero, plus_infty, nan_value, INVALID_EXCEPTION);
4215 TEST_ff_f (scalb, 0, 2, 0);
4216 TEST_ff_f (scalb, minus_zero, -4, minus_zero);
4217 TEST_ff_f (scalb, 0, 0, 0);
4218 TEST_ff_f (scalb, minus_zero, 0, minus_zero);
4219 TEST_ff_f (scalb, 0, -1, 0);
4220 TEST_ff_f (scalb, minus_zero, -10, minus_zero);
4221 TEST_ff_f (scalb, 0, minus_infty, 0);
4222 TEST_ff_f (scalb, minus_zero, minus_infty, minus_zero);
4224 TEST_ff_f (scalb, plus_infty, -1, plus_infty);
4225 TEST_ff_f (scalb, minus_infty, -10, minus_infty);
4226 TEST_ff_f (scalb, plus_infty, 0, plus_infty);
4227 TEST_ff_f (scalb, minus_infty, 0, minus_infty);
4228 TEST_ff_f (scalb, plus_infty, 2, plus_infty);
4229 TEST_ff_f (scalb, minus_infty, 100, minus_infty);
4231 TEST_ff_f (scalb, 0.1L, minus_infty, 0.0);
4232 TEST_ff_f (scalb, -0.1L, minus_infty, minus_zero);
4234 TEST_ff_f (scalb, 1, plus_infty, plus_infty);
4235 TEST_ff_f (scalb, -1, plus_infty, minus_infty);
4236 TEST_ff_f (scalb, plus_infty, plus_infty, plus_infty);
4237 TEST_ff_f (scalb, minus_infty, plus_infty, minus_infty);
4239 TEST_ff_f (scalb, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
4240 TEST_ff_f (scalb, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
4242 TEST_ff_f (scalb, nan_value, 1, nan_value);
4243 TEST_ff_f (scalb, 1, nan_value, nan_value);
4244 TEST_ff_f (scalb, nan_value, 0, nan_value);
4245 TEST_ff_f (scalb, 0, nan_value, nan_value);
4246 TEST_ff_f (scalb, nan_value, plus_infty, nan_value);
4247 TEST_ff_f (scalb, plus_infty, nan_value, nan_value);
4248 TEST_ff_f (scalb, nan_value, nan_value, nan_value);
4250 TEST_ff_f (scalb, 0.8L, 4, 12.8L);
4251 TEST_ff_f (scalb, -0.854375L, 5, -27.34L);
4263 TEST_fi_f (scalbn, 0, 0, 0);
4264 TEST_fi_f (scalbn, minus_zero, 0, minus_zero);
4266 TEST_fi_f (scalbn, plus_infty, 1, plus_infty);
4267 TEST_fi_f (scalbn, minus_infty, 1, minus_infty);
4268 TEST_fi_f (scalbn, nan_value, 1, nan_value);
4270 TEST_fi_f (scalbn, 0.8L, 4, 12.8L);
4271 TEST_fi_f (scalbn, -0.854375L, 5, -27.34L);
4273 TEST_fi_f (scalbn, 1, 0L, 1);
4285 TEST_fl_f (scalbln, 0, 0, 0);
4286 TEST_fl_f (scalbln, minus_zero, 0, minus_zero);
4288 TEST_fl_f (scalbln, plus_infty, 1, plus_infty);
4289 TEST_fl_f (scalbln, minus_infty, 1, minus_infty);
4290 TEST_fl_f (scalbln, nan_value, 1, nan_value);
4292 TEST_fl_f (scalbln, 0.8L, 4, 12.8L);
4293 TEST_fl_f (scalbln, -0.854375L, 5, -27.34L);
4295 TEST_fl_f (scalbln, 1, 0L, 1);
4307 TEST_f_b (signbit, 0, 0);
4308 TEST_f_b (signbit, minus_zero, 1);
4309 TEST_f_b (signbit, plus_infty, 0);
4310 TEST_f_b (signbit, minus_infty, 1);
4312 /* signbit (x) != 0 for x < 0. */
4313 TEST_f_b (signbit, -1, 1);
4314 /* signbit (x) == 0 for x >= 0. */
4315 TEST_f_b (signbit, 1, 0);
4326 if (errno == ENOSYS)
4327 /* Function not implemented. */
4332 TEST_f_f (sin, 0, 0);
4333 TEST_f_f (sin, minus_zero, minus_zero);
4334 TEST_f_f (sin, plus_infty, nan_value, INVALID_EXCEPTION);
4335 TEST_f_f (sin, minus_infty, nan_value, INVALID_EXCEPTION);
4336 TEST_f_f (sin, nan_value, nan_value);
4338 TEST_f_f (sin, M_PI_6l, 0.5);
4339 TEST_f_f (sin, -M_PI_6l, -0.5);
4340 TEST_f_f (sin, M_PI_2l, 1);
4341 TEST_f_f (sin, -M_PI_2l, -1);
4342 TEST_f_f (sin, 0.75L, 0.681638760023334166733241952779893935L);
4345 TEST_f_f (sin, 0.80190127184058835, 0.71867942238767868);
4356 FLOAT sin_res, cos_res;
4359 FUNC(sincos) (0, &sin_res, &cos_res);
4360 if (errno == ENOSYS)
4361 /* Function not implemented. */
4366 /* sincos is treated differently because it returns void. */
4367 TEST_extra (sincos, 0, 0, 1);
4369 TEST_extra (sincos, minus_zero, minus_zero, 1);
4370 TEST_extra (sincos, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
4371 TEST_extra (sincos, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
4372 TEST_extra (sincos, nan_value, nan_value, nan_value);
4374 TEST_extra (sincos, M_PI_2l, 1, 0);
4375 TEST_extra (sincos, M_PI_6l, 0.5, 0.86602540378443864676372317075293616L);
4376 TEST_extra (sincos, M_PI_6l*2.0, 0.86602540378443864676372317075293616L, 0.5);
4377 TEST_extra (sincos, 0.75L, 0.681638760023334166733241952779893935L, 0.731688868873820886311838753000084544L);
4380 TEST_extra (sincos, 0.80190127184058835, 0.71867942238767868, 0.69534156199418473);
4391 if (errno == ENOSYS)
4392 /* Function not implemented. */
4396 TEST_f_f (sinh, 0, 0);
4397 TEST_f_f (sinh, minus_zero, minus_zero);
4400 TEST_f_f (sinh, plus_infty, plus_infty);
4401 TEST_f_f (sinh, minus_infty, minus_infty);
4403 TEST_f_f (sinh, nan_value, nan_value);
4405 TEST_f_f (sinh, 0.75L, 0.822316731935829980703661634446913849L);
4406 TEST_f_f (sinh, 0x8p-32L, 1.86264514923095703232705808926175479e-9L);
4416 if (errno == ENOSYS)
4417 /* Function not implemented. */
4422 TEST_f_f (sqrt, 0, 0);
4423 TEST_f_f (sqrt, nan_value, nan_value);
4424 TEST_f_f (sqrt, plus_infty, plus_infty);
4426 TEST_f_f (sqrt, minus_zero, minus_zero);
4428 /* sqrt (x) == NaN plus invalid exception for x < 0. */
4429 TEST_f_f (sqrt, -1, nan_value, INVALID_EXCEPTION);
4430 TEST_f_f (sqrt, minus_infty, nan_value, INVALID_EXCEPTION);
4431 TEST_f_f (sqrt, nan_value, nan_value);
4433 TEST_f_f (sqrt, 2209, 47);
4434 TEST_f_f (sqrt, 4, 2);
4435 TEST_f_f (sqrt, 2, M_SQRT2l);
4436 TEST_f_f (sqrt, 0.25, 0.5);
4437 TEST_f_f (sqrt, 6642.25, 81.5);
4438 TEST_f_f (sqrt, 15190.5625L, 123.25L);
4439 TEST_f_f (sqrt, 0.75L, 0.866025403784438646763723170752936183L);
4450 if (errno == ENOSYS)
4451 /* Function not implemented. */
4456 TEST_f_f (tan, 0, 0);
4457 TEST_f_f (tan, minus_zero, minus_zero);
4458 TEST_f_f (tan, plus_infty, nan_value, INVALID_EXCEPTION);
4459 TEST_f_f (tan, minus_infty, nan_value, INVALID_EXCEPTION);
4460 TEST_f_f (tan, nan_value, nan_value);
4462 TEST_f_f (tan, M_PI_4l, 1);
4463 TEST_f_f (tan, 0.75L, 0.931596459944072461165202756573936428L);
4473 if (errno == ENOSYS)
4474 /* Function not implemented. */
4479 TEST_f_f (tanh, 0, 0);
4480 TEST_f_f (tanh, minus_zero, minus_zero);
4483 TEST_f_f (tanh, plus_infty, 1);
4484 TEST_f_f (tanh, minus_infty, -1);
4486 TEST_f_f (tanh, nan_value, nan_value);
4488 TEST_f_f (tanh, 0.75L, 0.635148952387287319214434357312496495L);
4489 TEST_f_f (tanh, -0.75L, -0.635148952387287319214434357312496495L);
4491 TEST_f_f (tanh, 1.0L, 0.7615941559557648881194582826047935904L);
4492 TEST_f_f (tanh, -1.0L, -0.7615941559557648881194582826047935904L);
4495 TEST_f_f (tanh, 0x1p-57L, 6.938893903907228377647697925567626953125e-18L);
4505 if (errno == ENOSYS)
4506 /* Function not implemented. */
4508 feclearexcept (FE_ALL_EXCEPT);
4512 TEST_f_f (tgamma, plus_infty, plus_infty);
4513 TEST_f_f (tgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
4514 TEST_f_f (tgamma, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
4515 /* tgamma (x) == NaN plus invalid exception for integer x <= 0. */
4516 TEST_f_f (tgamma, -2, nan_value, INVALID_EXCEPTION);
4517 TEST_f_f (tgamma, minus_infty, nan_value, INVALID_EXCEPTION);
4518 TEST_f_f (tgamma, nan_value, nan_value);
4520 TEST_f_f (tgamma, 0.5, M_SQRT_PIl);
4521 TEST_f_f (tgamma, -0.5, -M_2_SQRT_PIl);
4523 TEST_f_f (tgamma, 1, 1);
4524 TEST_f_f (tgamma, 4, 6);
4526 TEST_f_f (tgamma, 0.7L, 1.29805533264755778568117117915281162L);
4527 TEST_f_f (tgamma, 1.2L, 0.918168742399760610640951655185830401L);
4538 TEST_f_f (trunc, plus_infty, plus_infty);
4539 TEST_f_f (trunc, minus_infty, minus_infty);
4540 TEST_f_f (trunc, nan_value, nan_value);
4542 TEST_f_f (trunc, 0, 0);
4543 TEST_f_f (trunc, minus_zero, minus_zero);
4544 TEST_f_f (trunc, 0.625, 0);
4545 TEST_f_f (trunc, -0.625, minus_zero);
4546 TEST_f_f (trunc, 1, 1);
4547 TEST_f_f (trunc, -1, -1);
4548 TEST_f_f (trunc, 1.625, 1);
4549 TEST_f_f (trunc, -1.625, -1);
4551 TEST_f_f (trunc, 1048580.625L, 1048580L);
4552 TEST_f_f (trunc, -1048580.625L, -1048580L);
4554 TEST_f_f (trunc, 8388610.125L, 8388610.0L);
4555 TEST_f_f (trunc, -8388610.125L, -8388610.0L);
4557 TEST_f_f (trunc, 4294967296.625L, 4294967296.0L);
4558 TEST_f_f (trunc, -4294967296.625L, -4294967296.0L);
4561 /* The result can only be represented in long double. */
4562 TEST_f_f (trunc, 4503599627370495.5L, 4503599627370495.0L);
4563 TEST_f_f (trunc, 4503599627370496.25L, 4503599627370496.0L);
4564 TEST_f_f (trunc, 4503599627370496.5L, 4503599627370496.0L);
4565 TEST_f_f (trunc, 4503599627370496.75L, 4503599627370496.0L);
4566 TEST_f_f (trunc, 4503599627370497.5L, 4503599627370497.0L);
4568 TEST_f_f (trunc, -4503599627370495.5L, -4503599627370495.0L);
4569 TEST_f_f (trunc, -4503599627370496.25L, -4503599627370496.0L);
4570 TEST_f_f (trunc, -4503599627370496.5L, -4503599627370496.0L);
4571 TEST_f_f (trunc, -4503599627370496.75L, -4503599627370496.0L);
4572 TEST_f_f (trunc, -4503599627370497.5L, -4503599627370497.0L);
4574 TEST_f_f (trunc, 9007199254740991.5L, 9007199254740991.0L);
4575 TEST_f_f (trunc, 9007199254740992.25L, 9007199254740992.0L);
4576 TEST_f_f (trunc, 9007199254740992.5L, 9007199254740992.0L);
4577 TEST_f_f (trunc, 9007199254740992.75L, 9007199254740992.0L);
4578 TEST_f_f (trunc, 9007199254740993.5L, 9007199254740993.0L);
4580 TEST_f_f (trunc, -9007199254740991.5L, -9007199254740991.0L);
4581 TEST_f_f (trunc, -9007199254740992.25L, -9007199254740992.0L);
4582 TEST_f_f (trunc, -9007199254740992.5L, -9007199254740992.0L);
4583 TEST_f_f (trunc, -9007199254740992.75L, -9007199254740992.0L);
4584 TEST_f_f (trunc, -9007199254740993.5L, -9007199254740993.0L);
4586 TEST_f_f (trunc, 72057594037927935.5L, 72057594037927935.0L);
4587 TEST_f_f (trunc, 72057594037927936.25L, 72057594037927936.0L);
4588 TEST_f_f (trunc, 72057594037927936.5L, 72057594037927936.0L);
4589 TEST_f_f (trunc, 72057594037927936.75L, 72057594037927936.0L);
4590 TEST_f_f (trunc, 72057594037927937.5L, 72057594037927937.0L);
4592 TEST_f_f (trunc, -72057594037927935.5L, -72057594037927935.0L);
4593 TEST_f_f (trunc, -72057594037927936.25L, -72057594037927936.0L);
4594 TEST_f_f (trunc, -72057594037927936.5L, -72057594037927936.0L);
4595 TEST_f_f (trunc, -72057594037927936.75L, -72057594037927936.0L);
4596 TEST_f_f (trunc, -72057594037927937.5L, -72057594037927937.0L);
4598 TEST_f_f (trunc, 10141204801825835211973625643007.5L, 10141204801825835211973625643007.0L);
4599 TEST_f_f (trunc, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4600 TEST_f_f (trunc, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
4601 TEST_f_f (trunc, 10141204801825835211973625643008.75L, 10141204801825835211973625643008.0L);
4602 TEST_f_f (trunc, 10141204801825835211973625643009.5L, 10141204801825835211973625643009.0L);
4613 FUNC (sincos) (0, &s, &c);
4614 if (errno == ENOSYS)
4615 /* Required function not implemented. */
4618 if (errno == ENOSYS)
4619 /* Function not implemented. */
4622 /* y0 is the Bessel function of the second kind of order 0 */
4625 TEST_f_f (y0, -1.0, minus_infty, INVALID_EXCEPTION);
4626 TEST_f_f (y0, 0.0, minus_infty);
4627 TEST_f_f (y0, nan_value, nan_value);
4628 TEST_f_f (y0, plus_infty, 0);
4630 TEST_f_f (y0, 0.125L, -1.38968062514384052915582277745018693L);
4631 TEST_f_f (y0, 0.75L, -0.137172769385772397522814379396581855L);
4632 TEST_f_f (y0, 1.0, 0.0882569642156769579829267660235151628L);
4633 TEST_f_f (y0, 1.5, 0.382448923797758843955068554978089862L);
4634 TEST_f_f (y0, 2.0, 0.510375672649745119596606592727157873L);
4635 TEST_f_f (y0, 8.0, 0.223521489387566220527323400498620359L);
4636 TEST_f_f (y0, 10.0, 0.0556711672835993914244598774101900481L);
4647 FUNC (sincos) (0, &s, &c);
4648 if (errno == ENOSYS)
4649 /* Required function not implemented. */
4652 if (errno == ENOSYS)
4653 /* Function not implemented. */
4656 /* y1 is the Bessel function of the second kind of order 1 */
4659 TEST_f_f (y1, -1.0, minus_infty, INVALID_EXCEPTION);
4660 TEST_f_f (y1, 0.0, minus_infty);
4661 TEST_f_f (y1, plus_infty, 0);
4662 TEST_f_f (y1, nan_value, nan_value);
4664 TEST_f_f (y1, 0.125L, -5.19993611253477499595928744876579921L);
4665 TEST_f_f (y1, 0.75L, -1.03759455076928541973767132140642198L);
4666 TEST_f_f (y1, 1.0, -0.781212821300288716547150000047964821L);
4667 TEST_f_f (y1, 1.5, -0.412308626973911295952829820633445323L);
4668 TEST_f_f (y1, 2.0, -0.107032431540937546888370772277476637L);
4669 TEST_f_f (y1, 8.0, -0.158060461731247494255555266187483550L);
4670 TEST_f_f (y1, 10.0, 0.249015424206953883923283474663222803L);
4681 FUNC (sincos) (0, &s, &c);
4682 if (errno == ENOSYS)
4683 /* Required function not implemented. */
4686 if (errno == ENOSYS)
4687 /* Function not implemented. */
4690 /* yn is the Bessel function of the second kind of order n */
4693 /* yn (0, x) == y0 (x) */
4694 TEST_ff_f (yn, 0, -1.0, minus_infty, INVALID_EXCEPTION);
4695 TEST_ff_f (yn, 0, 0.0, minus_infty);
4696 TEST_ff_f (yn, 0, nan_value, nan_value);
4697 TEST_ff_f (yn, 0, plus_infty, 0);
4699 TEST_ff_f (yn, 0, 0.125L, -1.38968062514384052915582277745018693L);
4700 TEST_ff_f (yn, 0, 0.75L, -0.137172769385772397522814379396581855L);
4701 TEST_ff_f (yn, 0, 1.0, 0.0882569642156769579829267660235151628L);
4702 TEST_ff_f (yn, 0, 1.5, 0.382448923797758843955068554978089862L);
4703 TEST_ff_f (yn, 0, 2.0, 0.510375672649745119596606592727157873L);
4704 TEST_ff_f (yn, 0, 8.0, 0.223521489387566220527323400498620359L);
4705 TEST_ff_f (yn, 0, 10.0, 0.0556711672835993914244598774101900481L);
4707 /* yn (1, x) == y1 (x) */
4708 TEST_ff_f (yn, 1, -1.0, minus_infty, INVALID_EXCEPTION);
4709 TEST_ff_f (yn, 1, 0.0, minus_infty);
4710 TEST_ff_f (yn, 1, plus_infty, 0);
4711 TEST_ff_f (yn, 1, nan_value, nan_value);
4713 TEST_ff_f (yn, 1, 0.125L, -5.19993611253477499595928744876579921L);
4714 TEST_ff_f (yn, 1, 0.75L, -1.03759455076928541973767132140642198L);
4715 TEST_ff_f (yn, 1, 1.0, -0.781212821300288716547150000047964821L);
4716 TEST_ff_f (yn, 1, 1.5, -0.412308626973911295952829820633445323L);
4717 TEST_ff_f (yn, 1, 2.0, -0.107032431540937546888370772277476637L);
4718 TEST_ff_f (yn, 1, 8.0, -0.158060461731247494255555266187483550L);
4719 TEST_ff_f (yn, 1, 10.0, 0.249015424206953883923283474663222803L);
4722 TEST_ff_f (yn, 3, plus_infty, 0);
4723 TEST_ff_f (yn, 3, nan_value, nan_value);
4725 TEST_ff_f (yn, 3, 0.125L, -2612.69757350066712600220955744091741L);
4726 TEST_ff_f (yn, 3, 0.75L, -12.9877176234475433186319774484809207L);
4727 TEST_ff_f (yn, 3, 1.0, -5.82151760596472884776175706442981440L);
4728 TEST_ff_f (yn, 3, 2.0, -1.12778377684042778608158395773179238L);
4729 TEST_ff_f (yn, 3, 10.0, -0.251362657183837329779204747654240998L);
4732 TEST_ff_f (yn, 10, plus_infty, 0);
4733 TEST_ff_f (yn, 10, nan_value, nan_value);
4735 TEST_ff_f (yn, 10, 0.125L, -127057845771019398.252538486899753195L);
4736 TEST_ff_f (yn, 10, 0.75L, -2133501638.90573424452445412893839236L);
4737 TEST_ff_f (yn, 10, 1.0, -121618014.278689189288130426667971145L);
4738 TEST_ff_f (yn, 10, 2.0, -129184.542208039282635913145923304214L);
4739 TEST_ff_f (yn, 10, 10.0, -0.359814152183402722051986577343560609L);
4747 significand_test (void)
4749 /* significand returns the mantissa of the exponential representation. */
4750 START (significand);
4752 TEST_f_f (significand, 4.0, 1.0);
4753 TEST_f_f (significand, 6.0, 1.5);
4754 TEST_f_f (significand, 8.0, 1.0);
4763 fpstack_test ("start *init*");
4765 nan_value = plus_zero / plus_zero; /* Suppress GCC warning */
4767 minus_zero = FUNC(copysign) (0.0, -1.0);
4768 plus_infty = CHOOSE (HUGE_VALL, HUGE_VAL, HUGE_VALF,
4769 HUGE_VALL, HUGE_VAL, HUGE_VALF);
4770 minus_infty = CHOOSE (-HUGE_VALL, -HUGE_VAL, -HUGE_VALF,
4771 -HUGE_VALL, -HUGE_VAL, -HUGE_VALF);
4772 max_value = CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX,
4773 LDBL_MAX, DBL_MAX, FLT_MAX);
4774 min_value = CHOOSE (LDBL_MIN, DBL_MIN, FLT_MIN,
4775 LDBL_MIN, DBL_MIN, FLT_MIN);
4781 (void) &minus_infty;
4785 /* Clear all exceptions. From now on we must not get random exceptions. */
4786 feclearexcept (FE_ALL_EXCEPT);
4788 /* Test to make sure we start correctly. */
4789 fpstack_test ("end *init*");
4792 /* Definitions of arguments for argp functions. */
4793 static const struct argp_option options[] =
4795 { "verbose", 'v', "NUMBER", 0, "Level of verbosity (0..3)"},
4796 { "ulps-file", 'u', NULL, 0, "Output ulps to file ULPs"},
4797 { "no-max-error", 'f', NULL, 0,
4798 "Don't output maximal errors of functions"},
4799 { "no-points", 'p', NULL, 0,
4800 "Don't output results of functions invocations"},
4801 { "ignore-max-ulp", 'i', "yes/no", 0,
4802 "Ignore given maximal errors"},
4803 { NULL, 0, NULL, 0, NULL }
4806 /* Short description of program. */
4807 static const char doc[] = "Math test suite: " TEST_MSG ;
4809 /* Prototype for option handler. */
4810 static error_t parse_opt (int key, char *arg, struct argp_state *state);
4812 /* Data structure to communicate with argp functions. */
4813 static struct argp argp =
4815 options, parse_opt, NULL, doc,
4819 /* Handle program arguments. */
4821 parse_opt (int key, char *arg, struct argp_state *state)
4826 output_max_error = 0;
4829 if (strcmp (arg, "yes") == 0)
4831 else if (strcmp (arg, "no") == 0)
4842 verbose = (unsigned int) strtoul (optarg, NULL, 0);
4847 return ARGP_ERR_UNKNOWN;
4853 /* function to check our ulp calculation. */
4860 /* This gives one ulp. */
4861 u = FUNC(nextafter) (10, 20);
4862 check_equal (10.0, u, 1, &diff, &ulp);
4863 printf ("One ulp: % .4" PRINTF_NEXPR "\n", ulp);
4865 /* This gives one more ulp. */
4866 u = FUNC(nextafter) (u, 20);
4867 check_equal (10.0, u, 2, &diff, &ulp);
4868 printf ("two ulp: % .4" PRINTF_NEXPR "\n", ulp);
4870 /* And now calculate 100 ulp. */
4871 for (i = 2; i < 100; i++)
4872 u = FUNC(nextafter) (u, 20);
4873 check_equal (10.0, u, 100, &diff, &ulp);
4874 printf ("100 ulp: % .4" PRINTF_NEXPR "\n", ulp);
4879 main (int argc, char **argv)
4886 output_max_error = 1;
4888 /* XXX set to 0 for releases. */
4891 /* Parse and process arguments. */
4892 argp_parse (&argp, argc, argv, 0, &remaining, NULL);
4894 if (remaining != argc)
4896 fprintf (stderr, "wrong number of arguments");
4897 argp_help (&argp, stdout, ARGP_HELP_SEE, program_invocation_short_name);
4898 exit (EXIT_FAILURE);
4903 ulps_file = fopen ("ULPs", "a");
4904 if (ulps_file == NULL)
4906 perror ("can't open file `ULPs' for writing: ");
4919 /* Keep the tests a wee bit ordered (according to ISO C99). */
4920 /* Classification macros: */
4926 /* Trigonometric functions: */
4936 /* Hyperbolic functions: */
4944 /* Exponential and logarithmic functions: */
4961 significand_test ();
4963 /* Power and absolute value functions: */
4970 /* Error and gamma functions: */
4977 /* Nearest integer functions: */
4982 rint_test_tonearest ();
4983 rint_test_towardzero ();
4984 rint_test_downward ();
4985 rint_test_upward ();
4993 /* Remainder functions: */
4998 /* Manipulation functions: */
5003 /* maximum, minimum and positive difference functions */
5008 /* Multiply and add: */
5011 /* Complex functions: */
5036 /* Bessel functions: */
5047 printf ("\nTest suite completed:\n");
5048 printf (" %d test cases plus %d tests for exception flags executed.\n",
5049 noTests, noExcTests);
5051 printf (" %d expected failures occurred.\n", noXFails);
5053 printf (" %d unexpected passes occurred.\n", noXPasses);
5056 printf (" %d errors occurred.\n", noErrors);
5059 printf (" All tests passed successfully.\n");