1 /* Copyright (C) 1997-2002, 2003, 2004, 2005 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 == 0.0 || (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);
1642 FUNC(cexp) (BUILD_COMPLEX (0, 0));
1643 if (errno == ENOSYS)
1644 /* Function not implemented. */
1649 TEST_c_c (cexp, plus_zero, plus_zero, 1, 0.0);
1650 TEST_c_c (cexp, minus_zero, plus_zero, 1, 0.0);
1651 TEST_c_c (cexp, plus_zero, minus_zero, 1, minus_zero);
1652 TEST_c_c (cexp, minus_zero, minus_zero, 1, minus_zero);
1654 TEST_c_c (cexp, plus_infty, plus_zero, plus_infty, 0.0);
1655 TEST_c_c (cexp, plus_infty, minus_zero, plus_infty, minus_zero);
1657 TEST_c_c (cexp, minus_infty, plus_zero, 0.0, 0.0);
1658 TEST_c_c (cexp, minus_infty, minus_zero, 0.0, minus_zero);
1660 TEST_c_c (cexp, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1661 TEST_c_c (cexp, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1663 TEST_c_c (cexp, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1664 TEST_c_c (cexp, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1666 TEST_c_c (cexp, 100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1667 TEST_c_c (cexp, -100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1669 TEST_c_c (cexp, 100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1670 TEST_c_c (cexp, -100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1672 TEST_c_c (cexp, minus_infty, 2.0, minus_zero, 0.0);
1673 TEST_c_c (cexp, minus_infty, 4.0, minus_zero, minus_zero);
1674 TEST_c_c (cexp, plus_infty, 2.0, minus_infty, plus_infty);
1675 TEST_c_c (cexp, plus_infty, 4.0, minus_infty, minus_infty);
1677 TEST_c_c (cexp, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1678 TEST_c_c (cexp, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1680 TEST_c_c (cexp, minus_infty, plus_infty, 0.0, 0.0, IGNORE_ZERO_INF_SIGN);
1681 TEST_c_c (cexp, minus_infty, minus_infty, 0.0, minus_zero, IGNORE_ZERO_INF_SIGN);
1683 TEST_c_c (cexp, minus_infty, nan_value, 0, 0, IGNORE_ZERO_INF_SIGN);
1685 TEST_c_c (cexp, plus_infty, nan_value, plus_infty, nan_value);
1687 TEST_c_c (cexp, nan_value, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1688 TEST_c_c (cexp, nan_value, 1.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1690 TEST_c_c (cexp, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1691 TEST_c_c (cexp, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1692 TEST_c_c (cexp, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1693 TEST_c_c (cexp, nan_value, nan_value, nan_value, nan_value);
1695 TEST_c_c (cexp, 0.75L, 1.25L, 0.667537446429131586942201977015932112L, 2.00900045494094876258347228145863909L);
1696 TEST_c_c (cexp, -2.0, -3.0, -0.13398091492954261346140525546115575L, -0.019098516261135196432576240858800925L);
1698 END (cexp, complex);
1706 TEST_c_f (cimag, 1.0, 0.0, 0.0);
1707 TEST_c_f (cimag, 1.0, minus_zero, minus_zero);
1708 TEST_c_f (cimag, 1.0, nan_value, nan_value);
1709 TEST_c_f (cimag, nan_value, nan_value, nan_value);
1710 TEST_c_f (cimag, 1.0, plus_infty, plus_infty);
1711 TEST_c_f (cimag, 1.0, minus_infty, minus_infty);
1712 TEST_c_f (cimag, 2.0, 3.0, 3.0);
1721 FUNC(clog) (BUILD_COMPLEX (-2, -3));
1722 if (errno == ENOSYS)
1723 /* Function not implemented. */
1728 TEST_c_c (clog, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1729 TEST_c_c (clog, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1731 TEST_c_c (clog, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION);
1732 TEST_c_c (clog, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION);
1734 TEST_c_c (clog, minus_infty, plus_infty, plus_infty, M_PI_34l);
1735 TEST_c_c (clog, minus_infty, minus_infty, plus_infty, -M_PI_34l);
1737 TEST_c_c (clog, plus_infty, plus_infty, plus_infty, M_PI_4l);
1738 TEST_c_c (clog, plus_infty, minus_infty, plus_infty, -M_PI_4l);
1740 TEST_c_c (clog, 0, plus_infty, plus_infty, M_PI_2l);
1741 TEST_c_c (clog, 3, plus_infty, plus_infty, M_PI_2l);
1742 TEST_c_c (clog, minus_zero, plus_infty, plus_infty, M_PI_2l);
1743 TEST_c_c (clog, -3, plus_infty, plus_infty, M_PI_2l);
1744 TEST_c_c (clog, 0, minus_infty, plus_infty, -M_PI_2l);
1745 TEST_c_c (clog, 3, minus_infty, plus_infty, -M_PI_2l);
1746 TEST_c_c (clog, minus_zero, minus_infty, plus_infty, -M_PI_2l);
1747 TEST_c_c (clog, -3, minus_infty, plus_infty, -M_PI_2l);
1749 TEST_c_c (clog, minus_infty, 0, plus_infty, M_PIl);
1750 TEST_c_c (clog, minus_infty, 1, plus_infty, M_PIl);
1751 TEST_c_c (clog, minus_infty, minus_zero, plus_infty, -M_PIl);
1752 TEST_c_c (clog, minus_infty, -1, plus_infty, -M_PIl);
1754 TEST_c_c (clog, plus_infty, 0, plus_infty, 0.0);
1755 TEST_c_c (clog, plus_infty, 1, plus_infty, 0.0);
1756 TEST_c_c (clog, plus_infty, minus_zero, plus_infty, minus_zero);
1757 TEST_c_c (clog, plus_infty, -1, plus_infty, minus_zero);
1759 TEST_c_c (clog, plus_infty, nan_value, plus_infty, nan_value);
1760 TEST_c_c (clog, minus_infty, nan_value, plus_infty, nan_value);
1762 TEST_c_c (clog, nan_value, plus_infty, plus_infty, nan_value);
1763 TEST_c_c (clog, nan_value, minus_infty, plus_infty, nan_value);
1765 TEST_c_c (clog, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1766 TEST_c_c (clog, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1767 TEST_c_c (clog, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1768 TEST_c_c (clog, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1770 TEST_c_c (clog, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1771 TEST_c_c (clog, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1772 TEST_c_c (clog, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
1773 TEST_c_c (clog, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1775 TEST_c_c (clog, nan_value, nan_value, nan_value, nan_value);
1777 TEST_c_c (clog, 0.75L, 1.25L, 0.376885901188190075998919126749298416L, 1.03037682652431246378774332703115153L);
1778 TEST_c_c (clog, -2, -3, 1.2824746787307683680267437207826593L, -2.1587989303424641704769327722648368L);
1780 END (clog, complex);
1788 FUNC(clog10) (BUILD_COMPLEX (0.7L, 1.2L));
1789 if (errno == ENOSYS)
1790 /* Function not implemented. */
1795 TEST_c_c (clog10, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1796 TEST_c_c (clog10, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1798 TEST_c_c (clog10, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION);
1799 TEST_c_c (clog10, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION);
1801 TEST_c_c (clog10, minus_infty, plus_infty, plus_infty, M_PI_34_LOG10El);
1803 TEST_c_c (clog10, plus_infty, plus_infty, plus_infty, M_PI4_LOG10El);
1804 TEST_c_c (clog10, plus_infty, minus_infty, plus_infty, -M_PI4_LOG10El);
1806 TEST_c_c (clog10, 0, plus_infty, plus_infty, M_PI2_LOG10El);
1807 TEST_c_c (clog10, 3, plus_infty, plus_infty, M_PI2_LOG10El);
1808 TEST_c_c (clog10, minus_zero, plus_infty, plus_infty, M_PI2_LOG10El);
1809 TEST_c_c (clog10, -3, plus_infty, plus_infty, M_PI2_LOG10El);
1810 TEST_c_c (clog10, 0, minus_infty, plus_infty, -M_PI2_LOG10El);
1811 TEST_c_c (clog10, 3, minus_infty, plus_infty, -M_PI2_LOG10El);
1812 TEST_c_c (clog10, minus_zero, minus_infty, plus_infty, -M_PI2_LOG10El);
1813 TEST_c_c (clog10, -3, minus_infty, plus_infty, -M_PI2_LOG10El);
1815 TEST_c_c (clog10, minus_infty, 0, plus_infty, M_PI_LOG10El);
1816 TEST_c_c (clog10, minus_infty, 1, plus_infty, M_PI_LOG10El);
1817 TEST_c_c (clog10, minus_infty, minus_zero, plus_infty, -M_PI_LOG10El);
1818 TEST_c_c (clog10, minus_infty, -1, plus_infty, -M_PI_LOG10El);
1820 TEST_c_c (clog10, plus_infty, 0, plus_infty, 0.0);
1821 TEST_c_c (clog10, plus_infty, 1, plus_infty, 0.0);
1822 TEST_c_c (clog10, plus_infty, minus_zero, plus_infty, minus_zero);
1823 TEST_c_c (clog10, plus_infty, -1, plus_infty, minus_zero);
1825 TEST_c_c (clog10, plus_infty, nan_value, plus_infty, nan_value);
1826 TEST_c_c (clog10, minus_infty, nan_value, plus_infty, nan_value);
1828 TEST_c_c (clog10, nan_value, plus_infty, plus_infty, nan_value);
1829 TEST_c_c (clog10, nan_value, minus_infty, plus_infty, nan_value);
1831 TEST_c_c (clog10, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1832 TEST_c_c (clog10, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1833 TEST_c_c (clog10, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1834 TEST_c_c (clog10, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1836 TEST_c_c (clog10, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1837 TEST_c_c (clog10, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1838 TEST_c_c (clog10, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
1839 TEST_c_c (clog10, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1841 TEST_c_c (clog10, nan_value, nan_value, nan_value, nan_value);
1843 TEST_c_c (clog10, 0.75L, 1.25L, 0.163679467193165171449476605077428975L, 0.447486970040493067069984724340855636L);
1844 TEST_c_c (clog10, -2, -3, 0.556971676153418384603252578971164214L, -0.937554462986374708541507952140189646L);
1846 END (clog10, complex);
1854 TEST_c_c (conj, 0.0, 0.0, 0.0, minus_zero);
1855 TEST_c_c (conj, 0.0, minus_zero, 0.0, 0.0);
1856 TEST_c_c (conj, nan_value, nan_value, nan_value, nan_value);
1857 TEST_c_c (conj, plus_infty, minus_infty, plus_infty, plus_infty);
1858 TEST_c_c (conj, plus_infty, plus_infty, plus_infty, minus_infty);
1859 TEST_c_c (conj, 1.0, 2.0, 1.0, -2.0);
1860 TEST_c_c (conj, 3.0, -4.0, 3.0, 4.0);
1862 END (conj, complex);
1867 copysign_test (void)
1871 TEST_ff_f (copysign, 0, 4, 0);
1872 TEST_ff_f (copysign, 0, -4, minus_zero);
1873 TEST_ff_f (copysign, minus_zero, 4, 0);
1874 TEST_ff_f (copysign, minus_zero, -4, minus_zero);
1876 TEST_ff_f (copysign, plus_infty, 0, plus_infty);
1877 TEST_ff_f (copysign, plus_infty, minus_zero, minus_infty);
1878 TEST_ff_f (copysign, minus_infty, 0, plus_infty);
1879 TEST_ff_f (copysign, minus_infty, minus_zero, minus_infty);
1881 TEST_ff_f (copysign, 0, plus_infty, 0);
1882 TEST_ff_f (copysign, 0, minus_zero, minus_zero);
1883 TEST_ff_f (copysign, minus_zero, plus_infty, 0);
1884 TEST_ff_f (copysign, minus_zero, minus_zero, minus_zero);
1886 /* XXX More correctly we would have to check the sign of the NaN. */
1887 TEST_ff_f (copysign, nan_value, 0, nan_value);
1888 TEST_ff_f (copysign, nan_value, minus_zero, nan_value);
1889 TEST_ff_f (copysign, -nan_value, 0, nan_value);
1890 TEST_ff_f (copysign, -nan_value, minus_zero, nan_value);
1901 if (errno == ENOSYS)
1902 /* Function not implemented. */
1907 TEST_f_f (cos, 0, 1);
1908 TEST_f_f (cos, minus_zero, 1);
1909 TEST_f_f (cos, plus_infty, nan_value, INVALID_EXCEPTION);
1910 TEST_f_f (cos, minus_infty, nan_value, INVALID_EXCEPTION);
1911 TEST_f_f (cos, nan_value, nan_value);
1913 TEST_f_f (cos, M_PI_6l * 2.0, 0.5);
1914 TEST_f_f (cos, M_PI_6l * 4.0, -0.5);
1915 TEST_f_f (cos, M_PI_2l, 0);
1917 TEST_f_f (cos, 0.75L, 0.731688868873820886311838753000084544L);
1920 TEST_f_f (cos, 0.80190127184058835, 0.69534156199418473);
1932 if (errno == ENOSYS)
1933 /* Function not implemented. */
1937 TEST_f_f (cosh, 0, 1);
1938 TEST_f_f (cosh, minus_zero, 1);
1941 TEST_f_f (cosh, plus_infty, plus_infty);
1942 TEST_f_f (cosh, minus_infty, plus_infty);
1944 TEST_f_f (cosh, nan_value, nan_value);
1946 TEST_f_f (cosh, 0.75L, 1.29468328467684468784170818539018176L);
1956 FUNC(cpow) (BUILD_COMPLEX (1, 0), BUILD_COMPLEX (0, 0));
1957 if (errno == ENOSYS)
1958 /* Function not implemented. */
1963 TEST_cc_c (cpow, 1, 0, 0, 0, 1.0, 0.0);
1964 TEST_cc_c (cpow, 2, 0, 10, 0, 1024.0, 0.0);
1966 TEST_cc_c (cpow, M_El, 0, 0, 2 * M_PIl, 1.0, 0.0);
1967 TEST_cc_c (cpow, 2, 3, 4, 0, -119.0, -120.0);
1969 TEST_cc_c (cpow, nan_value, nan_value, nan_value, nan_value, nan_value, nan_value);
1971 TEST_cc_c (cpow, 0.75L, 1.25L, 0.75L, 1.25L, 0.117506293914473555420279832210420483L, 0.346552747708338676483025352060418001L);
1972 TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 1.0L, 0.0846958290317209430433805274189191353L, 0.513285749182902449043287190519090481L);
1973 TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 0.0L, 0.75L, 1.25L);
1974 TEST_cc_c (cpow, 0.75L, 1.25L, 0.0L, 1.0L, 0.331825439177608832276067945276730566L, 0.131338600281188544930936345230903032L);
1976 END (cpow, complex);
1984 TEST_c_c (cproj, 0.0, 0.0, 0.0, 0.0);
1985 TEST_c_c (cproj, minus_zero, minus_zero, minus_zero, minus_zero);
1986 TEST_c_c (cproj, 0.0, minus_zero, 0.0, minus_zero);
1987 TEST_c_c (cproj, minus_zero, 0.0, minus_zero, 0.0);
1989 TEST_c_c (cproj, nan_value, nan_value, nan_value, nan_value);
1991 TEST_c_c (cproj, plus_infty, plus_infty, plus_infty, 0.0);
1992 TEST_c_c (cproj, plus_infty, minus_infty, plus_infty, minus_zero);
1993 TEST_c_c (cproj, minus_infty, plus_infty, plus_infty, 0.0);
1994 TEST_c_c (cproj, minus_infty, minus_infty, plus_infty, minus_zero);
1996 TEST_c_c (cproj, 1.0, 0.0, 1.0, 0.0);
1997 TEST_c_c (cproj, 2.0, 3.0, 0.2857142857142857142857142857142857L, 0.42857142857142857142857142857142855L);
1999 END (cproj, complex);
2007 TEST_c_f (creal, 0.0, 1.0, 0.0);
2008 TEST_c_f (creal, minus_zero, 1.0, minus_zero);
2009 TEST_c_f (creal, nan_value, 1.0, nan_value);
2010 TEST_c_f (creal, nan_value, nan_value, nan_value);
2011 TEST_c_f (creal, plus_infty, 1.0, plus_infty);
2012 TEST_c_f (creal, minus_infty, 1.0, minus_infty);
2013 TEST_c_f (creal, 2.0, 3.0, 2.0);
2022 FUNC(csin) (BUILD_COMPLEX (0.7L, 1.2L));
2023 if (errno == ENOSYS)
2024 /* Function not implemented. */
2029 TEST_c_c (csin, 0.0, 0.0, 0.0, 0.0);
2030 TEST_c_c (csin, minus_zero, 0.0, minus_zero, 0.0);
2031 TEST_c_c (csin, 0.0, minus_zero, 0, minus_zero);
2032 TEST_c_c (csin, minus_zero, minus_zero, minus_zero, minus_zero);
2034 TEST_c_c (csin, 0.0, plus_infty, 0.0, plus_infty);
2035 TEST_c_c (csin, minus_zero, plus_infty, minus_zero, plus_infty);
2036 TEST_c_c (csin, 0.0, minus_infty, 0.0, minus_infty);
2037 TEST_c_c (csin, minus_zero, minus_infty, minus_zero, minus_infty);
2039 TEST_c_c (csin, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2040 TEST_c_c (csin, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2041 TEST_c_c (csin, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2042 TEST_c_c (csin, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2044 TEST_c_c (csin, plus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2045 TEST_c_c (csin, minus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2046 TEST_c_c (csin, plus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2047 TEST_c_c (csin, minus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2049 TEST_c_c (csin, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
2050 TEST_c_c (csin, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
2051 TEST_c_c (csin, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
2052 TEST_c_c (csin, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
2054 TEST_c_c (csin, 4.625, plus_infty, minus_infty, minus_infty);
2055 TEST_c_c (csin, 4.625, minus_infty, minus_infty, plus_infty);
2056 TEST_c_c (csin, -4.625, plus_infty, plus_infty, minus_infty);
2057 TEST_c_c (csin, -4.625, minus_infty, plus_infty, plus_infty);
2059 TEST_c_c (csin, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
2060 TEST_c_c (csin, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
2062 TEST_c_c (csin, nan_value, plus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2063 TEST_c_c (csin, nan_value, minus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2065 TEST_c_c (csin, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2066 TEST_c_c (csin, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2068 TEST_c_c (csin, 0.0, nan_value, 0.0, nan_value);
2069 TEST_c_c (csin, minus_zero, nan_value, minus_zero, nan_value);
2071 TEST_c_c (csin, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2072 TEST_c_c (csin, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2074 TEST_c_c (csin, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2075 TEST_c_c (csin, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2077 TEST_c_c (csin, nan_value, nan_value, nan_value, nan_value);
2079 TEST_c_c (csin, 0.75L, 1.25L, 1.28722291002649188575873510790565441L, 1.17210635989270256101081285116138863L);
2080 TEST_c_c (csin, -2, -3, -9.15449914691142957346729954460983256L, 4.16890695996656435075481305885375484L);
2082 END (csin, complex);
2090 FUNC(csinh) (BUILD_COMPLEX (0.7L, 1.2L));
2091 if (errno == ENOSYS)
2092 /* Function not implemented. */
2097 TEST_c_c (csinh, 0.0, 0.0, 0.0, 0.0);
2098 TEST_c_c (csinh, minus_zero, 0.0, minus_zero, 0.0);
2099 TEST_c_c (csinh, 0.0, minus_zero, 0.0, minus_zero);
2100 TEST_c_c (csinh, minus_zero, minus_zero, minus_zero, minus_zero);
2102 TEST_c_c (csinh, 0.0, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2103 TEST_c_c (csinh, minus_zero, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2104 TEST_c_c (csinh, 0.0, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2105 TEST_c_c (csinh, minus_zero, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2107 TEST_c_c (csinh, plus_infty, 0.0, plus_infty, 0.0);
2108 TEST_c_c (csinh, minus_infty, 0.0, minus_infty, 0.0);
2109 TEST_c_c (csinh, plus_infty, minus_zero, plus_infty, minus_zero);
2110 TEST_c_c (csinh, minus_infty, minus_zero, minus_infty, minus_zero);
2112 TEST_c_c (csinh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2113 TEST_c_c (csinh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2114 TEST_c_c (csinh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2115 TEST_c_c (csinh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2117 TEST_c_c (csinh, plus_infty, 4.625, minus_infty, minus_infty);
2118 TEST_c_c (csinh, minus_infty, 4.625, plus_infty, minus_infty);
2119 TEST_c_c (csinh, plus_infty, -4.625, minus_infty, plus_infty);
2120 TEST_c_c (csinh, minus_infty, -4.625, plus_infty, plus_infty);
2122 TEST_c_c (csinh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2123 TEST_c_c (csinh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2124 TEST_c_c (csinh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2125 TEST_c_c (csinh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2127 TEST_c_c (csinh, 0.0, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN);
2128 TEST_c_c (csinh, minus_zero, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN);
2130 TEST_c_c (csinh, plus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
2131 TEST_c_c (csinh, minus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
2133 TEST_c_c (csinh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2134 TEST_c_c (csinh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2136 TEST_c_c (csinh, nan_value, 0.0, nan_value, 0.0);
2137 TEST_c_c (csinh, nan_value, minus_zero, nan_value, minus_zero);
2139 TEST_c_c (csinh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2140 TEST_c_c (csinh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2142 TEST_c_c (csinh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2143 TEST_c_c (csinh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2145 TEST_c_c (csinh, nan_value, nan_value, nan_value, nan_value);
2147 TEST_c_c (csinh, 0.75L, 1.25L, 0.259294854551162779153349830618433028L, 1.22863452409509552219214606515777594L);
2148 TEST_c_c (csinh, -2, -3, 3.59056458998577995201256544779481679L, -0.530921086248519805267040090660676560L);
2150 END (csinh, complex);
2158 FUNC(csqrt) (BUILD_COMPLEX (-1, 0));
2159 if (errno == ENOSYS)
2160 /* Function not implemented. */
2165 TEST_c_c (csqrt, 0, 0, 0.0, 0.0);
2166 TEST_c_c (csqrt, 0, minus_zero, 0, minus_zero);
2167 TEST_c_c (csqrt, minus_zero, 0, 0.0, 0.0);
2168 TEST_c_c (csqrt, minus_zero, minus_zero, 0.0, minus_zero);
2170 TEST_c_c (csqrt, minus_infty, 0, 0.0, plus_infty);
2171 TEST_c_c (csqrt, minus_infty, 6, 0.0, plus_infty);
2172 TEST_c_c (csqrt, minus_infty, minus_zero, 0.0, minus_infty);
2173 TEST_c_c (csqrt, minus_infty, -6, 0.0, minus_infty);
2175 TEST_c_c (csqrt, plus_infty, 0, plus_infty, 0.0);
2176 TEST_c_c (csqrt, plus_infty, 6, plus_infty, 0.0);
2177 TEST_c_c (csqrt, plus_infty, minus_zero, plus_infty, minus_zero);
2178 TEST_c_c (csqrt, plus_infty, -6, plus_infty, minus_zero);
2180 TEST_c_c (csqrt, 0, plus_infty, plus_infty, plus_infty);
2181 TEST_c_c (csqrt, 4, plus_infty, plus_infty, plus_infty);
2182 TEST_c_c (csqrt, plus_infty, plus_infty, plus_infty, plus_infty);
2183 TEST_c_c (csqrt, minus_zero, plus_infty, plus_infty, plus_infty);
2184 TEST_c_c (csqrt, -4, plus_infty, plus_infty, plus_infty);
2185 TEST_c_c (csqrt, minus_infty, plus_infty, plus_infty, plus_infty);
2186 TEST_c_c (csqrt, 0, minus_infty, plus_infty, minus_infty);
2187 TEST_c_c (csqrt, 4, minus_infty, plus_infty, minus_infty);
2188 TEST_c_c (csqrt, plus_infty, minus_infty, plus_infty, minus_infty);
2189 TEST_c_c (csqrt, minus_zero, minus_infty, plus_infty, minus_infty);
2190 TEST_c_c (csqrt, -4, minus_infty, plus_infty, minus_infty);
2191 TEST_c_c (csqrt, minus_infty, minus_infty, plus_infty, minus_infty);
2193 TEST_c_c (csqrt, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2195 TEST_c_c (csqrt, plus_infty, nan_value, plus_infty, nan_value);
2197 TEST_c_c (csqrt, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2198 TEST_c_c (csqrt, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2199 TEST_c_c (csqrt, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2200 TEST_c_c (csqrt, -1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2202 TEST_c_c (csqrt, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2203 TEST_c_c (csqrt, nan_value, 8, nan_value, nan_value, INVALID_EXCEPTION_OK);
2204 TEST_c_c (csqrt, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
2205 TEST_c_c (csqrt, nan_value, -8, nan_value, nan_value, INVALID_EXCEPTION_OK);
2207 TEST_c_c (csqrt, nan_value, nan_value, nan_value, nan_value);
2209 TEST_c_c (csqrt, 16.0, -30.0, 5.0, -3.0);
2210 TEST_c_c (csqrt, -1, 0, 0.0, 1.0);
2211 TEST_c_c (csqrt, 0, 2, 1.0, 1.0);
2212 TEST_c_c (csqrt, 119, 120, 12.0, 5.0);
2213 TEST_c_c (csqrt, 0.75L, 1.25L, 1.05065169626078392338656675760808326L, 0.594868882070379067881984030639932657L);
2214 TEST_c_c (csqrt, -2, -3, 0.89597747612983812471573375529004348L, -1.6741492280355400404480393008490519L);
2215 TEST_c_c (csqrt, -2, 3, 0.89597747612983812471573375529004348L, 1.6741492280355400404480393008490519L);
2216 /* Principal square root should be returned (i.e., non-negative real
2218 TEST_c_c (csqrt, 0, -1, M_SQRT_2_2, -M_SQRT_2_2);
2220 END (csqrt, complex);
2227 FUNC(ctan) (BUILD_COMPLEX (0.7L, 1.2L));
2228 if (errno == ENOSYS)
2229 /* Function not implemented. */
2234 TEST_c_c (ctan, 0, 0, 0.0, 0.0);
2235 TEST_c_c (ctan, 0, minus_zero, 0.0, minus_zero);
2236 TEST_c_c (ctan, minus_zero, 0, minus_zero, 0.0);
2237 TEST_c_c (ctan, minus_zero, minus_zero, minus_zero, minus_zero);
2239 TEST_c_c (ctan, 0, plus_infty, 0.0, 1.0);
2240 TEST_c_c (ctan, 1, plus_infty, 0.0, 1.0);
2241 TEST_c_c (ctan, minus_zero, plus_infty, minus_zero, 1.0);
2242 TEST_c_c (ctan, -1, plus_infty, minus_zero, 1.0);
2244 TEST_c_c (ctan, 0, minus_infty, 0.0, -1.0);
2245 TEST_c_c (ctan, 1, minus_infty, 0.0, -1.0);
2246 TEST_c_c (ctan, minus_zero, minus_infty, minus_zero, -1.0);
2247 TEST_c_c (ctan, -1, minus_infty, minus_zero, -1.0);
2249 TEST_c_c (ctan, plus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION);
2250 TEST_c_c (ctan, plus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION);
2251 TEST_c_c (ctan, minus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION);
2252 TEST_c_c (ctan, minus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION);
2253 TEST_c_c (ctan, plus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION);
2254 TEST_c_c (ctan, plus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION);
2255 TEST_c_c (ctan, minus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION);
2256 TEST_c_c (ctan, minus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION);
2258 TEST_c_c (ctan, nan_value, plus_infty, 0.0, 1.0, IGNORE_ZERO_INF_SIGN);
2259 TEST_c_c (ctan, nan_value, minus_infty, 0.0, -1.0, IGNORE_ZERO_INF_SIGN);
2261 TEST_c_c (ctan, 0, nan_value, 0.0, nan_value);
2262 TEST_c_c (ctan, minus_zero, nan_value, minus_zero, nan_value);
2264 TEST_c_c (ctan, 0.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2265 TEST_c_c (ctan, -4.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2267 TEST_c_c (ctan, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2268 TEST_c_c (ctan, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2269 TEST_c_c (ctan, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
2270 TEST_c_c (ctan, nan_value, -0.25, nan_value, nan_value, INVALID_EXCEPTION_OK);
2272 TEST_c_c (ctan, nan_value, nan_value, nan_value, nan_value);
2274 TEST_c_c (ctan, 0.75L, 1.25L, 0.160807785916206426725166058173438663L, 0.975363285031235646193581759755216379L);
2275 TEST_c_c (ctan, -2, -3, 0.376402564150424829275122113032269084e-2L, -1.00323862735360980144635859782192726L);
2277 END (ctan, complex);
2285 FUNC(ctanh) (BUILD_COMPLEX (0, 0));
2286 if (errno == ENOSYS)
2287 /* Function not implemented. */
2292 TEST_c_c (ctanh, 0, 0, 0.0, 0.0);
2293 TEST_c_c (ctanh, 0, minus_zero, 0.0, minus_zero);
2294 TEST_c_c (ctanh, minus_zero, 0, minus_zero, 0.0);
2295 TEST_c_c (ctanh, minus_zero, minus_zero, minus_zero, minus_zero);
2297 TEST_c_c (ctanh, plus_infty, 0, 1.0, 0.0);
2298 TEST_c_c (ctanh, plus_infty, 1, 1.0, 0.0);
2299 TEST_c_c (ctanh, plus_infty, minus_zero, 1.0, minus_zero);
2300 TEST_c_c (ctanh, plus_infty, -1, 1.0, minus_zero);
2301 TEST_c_c (ctanh, minus_infty, 0, -1.0, 0.0);
2302 TEST_c_c (ctanh, minus_infty, 1, -1.0, 0.0);
2303 TEST_c_c (ctanh, minus_infty, minus_zero, -1.0, minus_zero);
2304 TEST_c_c (ctanh, minus_infty, -1, -1.0, minus_zero);
2306 TEST_c_c (ctanh, 0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2307 TEST_c_c (ctanh, 2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2308 TEST_c_c (ctanh, 0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2309 TEST_c_c (ctanh, 2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2310 TEST_c_c (ctanh, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2311 TEST_c_c (ctanh, -2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2312 TEST_c_c (ctanh, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2313 TEST_c_c (ctanh, -2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2315 TEST_c_c (ctanh, plus_infty, nan_value, 1.0, 0.0, IGNORE_ZERO_INF_SIGN);
2316 TEST_c_c (ctanh, minus_infty, nan_value, -1.0, 0.0, IGNORE_ZERO_INF_SIGN);
2318 TEST_c_c (ctanh, nan_value, 0, nan_value, 0.0);
2319 TEST_c_c (ctanh, nan_value, minus_zero, nan_value, minus_zero);
2321 TEST_c_c (ctanh, nan_value, 0.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2322 TEST_c_c (ctanh, nan_value, -4.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2324 TEST_c_c (ctanh, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2325 TEST_c_c (ctanh, 5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2326 TEST_c_c (ctanh, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2327 TEST_c_c (ctanh, -0.25, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2329 TEST_c_c (ctanh, nan_value, nan_value, nan_value, nan_value);
2331 TEST_c_c (ctanh, 0, M_PI_4l, 0.0, 1.0);
2333 TEST_c_c (ctanh, 0.75L, 1.25L, 1.37260757053378320258048606571226857L, 0.385795952609750664177596760720790220L);
2334 TEST_c_c (ctanh, -2, -3, -0.965385879022133124278480269394560686L, 0.988437503832249372031403430350121098e-2L);
2336 END (ctanh, complex);
2345 if (errno == ENOSYS)
2346 /* Function not implemented. */
2351 TEST_f_f (erf, 0, 0);
2352 TEST_f_f (erf, minus_zero, minus_zero);
2353 TEST_f_f (erf, plus_infty, 1);
2354 TEST_f_f (erf, minus_infty, -1);
2355 TEST_f_f (erf, nan_value, nan_value);
2357 TEST_f_f (erf, 0.125L, 0.140316204801333817393029446521623398L);
2358 TEST_f_f (erf, 0.75L, 0.711155633653515131598937834591410777L);
2359 TEST_f_f (erf, 1.25L, 0.922900128256458230136523481197281140L);
2360 TEST_f_f (erf, 2.0L, 0.995322265018952734162069256367252929L);
2361 TEST_f_f (erf, 4.125L, 0.999999994576599200434933994687765914L);
2362 TEST_f_f (erf, 27.0L, 1.0L);
2373 if (errno == ENOSYS)
2374 /* Function not implemented. */
2379 TEST_f_f (erfc, plus_infty, 0.0);
2380 TEST_f_f (erfc, minus_infty, 2.0);
2381 TEST_f_f (erfc, 0.0, 1.0);
2382 TEST_f_f (erfc, minus_zero, 1.0);
2383 TEST_f_f (erfc, nan_value, nan_value);
2385 TEST_f_f (erfc, 0.125L, 0.859683795198666182606970553478376602L);
2386 TEST_f_f (erfc, 0.75L, 0.288844366346484868401062165408589223L);
2387 TEST_f_f (erfc, 1.25L, 0.0770998717435417698634765188027188596L);
2388 TEST_f_f (erfc, 2.0L, 0.00467773498104726583793074363274707139L);
2389 TEST_f_f (erfc, 4.125L, 0.542340079956506600531223408575531062e-8L);
2391 /* The result can only be represented in long double. */
2392 TEST_f_f (erfc, 27.0L, 0.523704892378925568501606768284954709e-318L);
2404 if (errno == ENOSYS)
2405 /* Function not implemented. */
2410 TEST_f_f (exp, 0, 1);
2411 TEST_f_f (exp, minus_zero, 1);
2414 TEST_f_f (exp, plus_infty, plus_infty);
2415 TEST_f_f (exp, minus_infty, 0);
2417 TEST_f_f (exp, nan_value, nan_value);
2418 TEST_f_f (exp, 1, M_El);
2420 TEST_f_f (exp, 2, M_E2l);
2421 TEST_f_f (exp, 3, M_E3l);
2422 TEST_f_f (exp, 0.75L, 2.11700001661267466854536981983709561L);
2423 TEST_f_f (exp, 50.0L, 5184705528587072464087.45332293348538L);
2425 /* The result can only be represented in long double. */
2426 TEST_f_f (exp, 1000.0L, 0.197007111401704699388887935224332313e435L);
2438 if (errno == ENOSYS)
2439 /* Function not implemented. */
2444 TEST_f_f (exp10, 0, 1);
2445 TEST_f_f (exp10, minus_zero, 1);
2447 TEST_f_f (exp10, plus_infty, plus_infty);
2448 TEST_f_f (exp10, minus_infty, 0);
2449 TEST_f_f (exp10, nan_value, nan_value);
2450 TEST_f_f (exp10, 3, 1000);
2451 TEST_f_f (exp10, -1, 0.1L);
2452 TEST_f_f (exp10, 1e6, plus_infty);
2453 TEST_f_f (exp10, -1e6, 0);
2454 TEST_f_f (exp10, 0.75L, 5.62341325190349080394951039776481231L);
2465 if (errno == ENOSYS)
2466 /* Function not implemented. */
2471 TEST_f_f (exp2, 0, 1);
2472 TEST_f_f (exp2, minus_zero, 1);
2473 TEST_f_f (exp2, plus_infty, plus_infty);
2474 TEST_f_f (exp2, minus_infty, 0);
2475 TEST_f_f (exp2, nan_value, nan_value);
2477 TEST_f_f (exp2, 10, 1024);
2478 TEST_f_f (exp2, -1, 0.5);
2479 TEST_f_f (exp2, 1e6, plus_infty);
2480 TEST_f_f (exp2, -1e6, 0);
2481 TEST_f_f (exp2, 0.75L, 1.68179283050742908606225095246642979L);
2492 if (errno == ENOSYS)
2493 /* Function not implemented. */
2498 TEST_f_f (expm1, 0, 0);
2499 TEST_f_f (expm1, minus_zero, minus_zero);
2502 TEST_f_f (expm1, plus_infty, plus_infty);
2503 TEST_f_f (expm1, minus_infty, -1);
2505 TEST_f_f (expm1, nan_value, nan_value);
2507 TEST_f_f (expm1, 1, M_El - 1.0);
2508 TEST_f_f (expm1, 0.75L, 1.11700001661267466854536981983709561L);
2519 TEST_f_f (fabs, 0, 0);
2520 TEST_f_f (fabs, minus_zero, 0);
2522 TEST_f_f (fabs, plus_infty, plus_infty);
2523 TEST_f_f (fabs, minus_infty, plus_infty);
2524 TEST_f_f (fabs, nan_value, nan_value);
2526 TEST_f_f (fabs, 38.0, 38.0);
2527 TEST_f_f (fabs, -M_El, M_El);
2538 TEST_ff_f (fdim, 0, 0, 0);
2539 TEST_ff_f (fdim, 9, 0, 9);
2540 TEST_ff_f (fdim, 0, 9, 0);
2541 TEST_ff_f (fdim, -9, 0, 0);
2542 TEST_ff_f (fdim, 0, -9, 9);
2544 TEST_ff_f (fdim, plus_infty, 9, plus_infty);
2545 TEST_ff_f (fdim, plus_infty, -9, plus_infty);
2546 TEST_ff_f (fdim, minus_infty, 9, 0);
2547 TEST_ff_f (fdim, minus_infty, -9, 0);
2548 TEST_ff_f (fdim, 9, minus_infty, plus_infty);
2549 TEST_ff_f (fdim, -9, minus_infty, plus_infty);
2550 TEST_ff_f (fdim, 9, plus_infty, 0);
2551 TEST_ff_f (fdim, -9, plus_infty, 0);
2553 TEST_ff_f (fdim, 0, nan_value, nan_value);
2554 TEST_ff_f (fdim, 9, nan_value, nan_value);
2555 TEST_ff_f (fdim, -9, nan_value, nan_value);
2556 TEST_ff_f (fdim, nan_value, 9, nan_value);
2557 TEST_ff_f (fdim, nan_value, -9, nan_value);
2558 TEST_ff_f (fdim, plus_infty, nan_value, nan_value);
2559 TEST_ff_f (fdim, minus_infty, nan_value, nan_value);
2560 TEST_ff_f (fdim, nan_value, plus_infty, nan_value);
2561 TEST_ff_f (fdim, nan_value, minus_infty, nan_value);
2562 TEST_ff_f (fdim, nan_value, nan_value, nan_value);
2564 TEST_ff_f (fdim, plus_infty, plus_infty, 0);
2575 TEST_f_f (floor, 0.0, 0.0);
2576 TEST_f_f (floor, minus_zero, minus_zero);
2577 TEST_f_f (floor, plus_infty, plus_infty);
2578 TEST_f_f (floor, minus_infty, minus_infty);
2579 TEST_f_f (floor, nan_value, nan_value);
2581 TEST_f_f (floor, M_PIl, 3.0);
2582 TEST_f_f (floor, -M_PIl, -4.0);
2584 TEST_f_f (floor, 0.25, 0.0);
2585 TEST_f_f (floor, -0.25, -1.0);
2596 TEST_fff_f (fma, 1.0, 2.0, 3.0, 5.0);
2597 TEST_fff_f (fma, nan_value, 2.0, 3.0, nan_value);
2598 TEST_fff_f (fma, 1.0, nan_value, 3.0, nan_value);
2599 TEST_fff_f (fma, 1.0, 2.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2600 TEST_fff_f (fma, plus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2601 TEST_fff_f (fma, minus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2602 TEST_fff_f (fma, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2603 TEST_fff_f (fma, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2604 TEST_fff_f (fma, plus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION);
2605 TEST_fff_f (fma, minus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION);
2606 TEST_fff_f (fma, 0.0, plus_infty, 1.0, nan_value, INVALID_EXCEPTION);
2607 TEST_fff_f (fma, 0.0, minus_infty, 1.0, nan_value, INVALID_EXCEPTION);
2609 TEST_fff_f (fma, plus_infty, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
2610 TEST_fff_f (fma, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
2611 TEST_fff_f (fma, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
2612 TEST_fff_f (fma, minus_infty, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
2614 TEST_fff_f (fma, 1.25L, 0.75L, 0.0625L, 1.0L);
2625 TEST_ff_f (fmax, 0, 0, 0);
2626 TEST_ff_f (fmax, minus_zero, minus_zero, minus_zero);
2627 TEST_ff_f (fmax, 9, 0, 9);
2628 TEST_ff_f (fmax, 0, 9, 9);
2629 TEST_ff_f (fmax, -9, 0, 0);
2630 TEST_ff_f (fmax, 0, -9, 0);
2632 TEST_ff_f (fmax, plus_infty, 9, plus_infty);
2633 TEST_ff_f (fmax, 0, plus_infty, plus_infty);
2634 TEST_ff_f (fmax, -9, plus_infty, plus_infty);
2635 TEST_ff_f (fmax, plus_infty, -9, plus_infty);
2637 TEST_ff_f (fmax, minus_infty, 9, 9);
2638 TEST_ff_f (fmax, minus_infty, -9, -9);
2639 TEST_ff_f (fmax, 9, minus_infty, 9);
2640 TEST_ff_f (fmax, -9, minus_infty, -9);
2642 TEST_ff_f (fmax, 0, nan_value, 0);
2643 TEST_ff_f (fmax, 9, nan_value, 9);
2644 TEST_ff_f (fmax, -9, nan_value, -9);
2645 TEST_ff_f (fmax, nan_value, 0, 0);
2646 TEST_ff_f (fmax, nan_value, 9, 9);
2647 TEST_ff_f (fmax, nan_value, -9, -9);
2648 TEST_ff_f (fmax, plus_infty, nan_value, plus_infty);
2649 TEST_ff_f (fmax, minus_infty, nan_value, minus_infty);
2650 TEST_ff_f (fmax, nan_value, plus_infty, plus_infty);
2651 TEST_ff_f (fmax, nan_value, minus_infty, minus_infty);
2652 TEST_ff_f (fmax, nan_value, nan_value, nan_value);
2663 TEST_ff_f (fmin, 0, 0, 0);
2664 TEST_ff_f (fmin, minus_zero, minus_zero, minus_zero);
2665 TEST_ff_f (fmin, 9, 0, 0);
2666 TEST_ff_f (fmin, 0, 9, 0);
2667 TEST_ff_f (fmin, -9, 0, -9);
2668 TEST_ff_f (fmin, 0, -9, -9);
2670 TEST_ff_f (fmin, plus_infty, 9, 9);
2671 TEST_ff_f (fmin, 9, plus_infty, 9);
2672 TEST_ff_f (fmin, plus_infty, -9, -9);
2673 TEST_ff_f (fmin, -9, plus_infty, -9);
2674 TEST_ff_f (fmin, minus_infty, 9, minus_infty);
2675 TEST_ff_f (fmin, minus_infty, -9, minus_infty);
2676 TEST_ff_f (fmin, 9, minus_infty, minus_infty);
2677 TEST_ff_f (fmin, -9, minus_infty, minus_infty);
2679 TEST_ff_f (fmin, 0, nan_value, 0);
2680 TEST_ff_f (fmin, 9, nan_value, 9);
2681 TEST_ff_f (fmin, -9, nan_value, -9);
2682 TEST_ff_f (fmin, nan_value, 0, 0);
2683 TEST_ff_f (fmin, nan_value, 9, 9);
2684 TEST_ff_f (fmin, nan_value, -9, -9);
2685 TEST_ff_f (fmin, plus_infty, nan_value, plus_infty);
2686 TEST_ff_f (fmin, minus_infty, nan_value, minus_infty);
2687 TEST_ff_f (fmin, nan_value, plus_infty, plus_infty);
2688 TEST_ff_f (fmin, nan_value, minus_infty, minus_infty);
2689 TEST_ff_f (fmin, nan_value, nan_value, nan_value);
2699 FUNC(fmod) (6.5, 2.3L);
2700 if (errno == ENOSYS)
2701 /* Function not implemented. */
2706 /* fmod (+0, y) == +0 for y != 0. */
2707 TEST_ff_f (fmod, 0, 3, 0);
2709 /* fmod (-0, y) == -0 for y != 0. */
2710 TEST_ff_f (fmod, minus_zero, 3, minus_zero);
2712 /* fmod (+inf, y) == NaN plus invalid exception. */
2713 TEST_ff_f (fmod, plus_infty, 3, nan_value, INVALID_EXCEPTION);
2714 /* fmod (-inf, y) == NaN plus invalid exception. */
2715 TEST_ff_f (fmod, minus_infty, 3, nan_value, INVALID_EXCEPTION);
2716 /* fmod (x, +0) == NaN plus invalid exception. */
2717 TEST_ff_f (fmod, 3, 0, nan_value, INVALID_EXCEPTION);
2718 /* fmod (x, -0) == NaN plus invalid exception. */
2719 TEST_ff_f (fmod, 3, minus_zero, nan_value, INVALID_EXCEPTION);
2721 /* fmod (x, +inf) == x for x not infinite. */
2722 TEST_ff_f (fmod, 3.0, plus_infty, 3.0);
2723 /* fmod (x, -inf) == x for x not infinite. */
2724 TEST_ff_f (fmod, 3.0, minus_infty, 3.0);
2726 TEST_ff_f (fmod, nan_value, nan_value, nan_value);
2728 TEST_ff_f (fmod, 6.5, 2.25L, 2.0L);
2729 TEST_ff_f (fmod, -6.5, 2.25L, -2.0L);
2730 TEST_ff_f (fmod, 6.5, -2.25L, 2.0L);
2731 TEST_ff_f (fmod, -6.5, -2.25L, -2.0L);
2738 fpclassify_test (void)
2742 TEST_f_i (fpclassify, nan_value, FP_NAN);
2743 TEST_f_i (fpclassify, plus_infty, FP_INFINITE);
2744 TEST_f_i (fpclassify, minus_infty, FP_INFINITE);
2745 TEST_f_i (fpclassify, plus_zero, FP_ZERO);
2746 TEST_f_i (fpclassify, minus_zero, FP_ZERO);
2747 TEST_f_i (fpclassify, 1000, FP_NORMAL);
2760 TEST_fI_f1 (frexp, plus_infty, plus_infty, IGNORE);
2761 TEST_fI_f1 (frexp, minus_infty, minus_infty, IGNORE);
2762 TEST_fI_f1 (frexp, nan_value, nan_value, IGNORE);
2764 TEST_fI_f1 (frexp, 0.0, 0.0, 0.0);
2765 TEST_fI_f1 (frexp, minus_zero, minus_zero, 0.0);
2767 TEST_fI_f1 (frexp, 12.8L, 0.8L, 4);
2768 TEST_fI_f1 (frexp, -27.34L, -0.854375L, 5);
2780 if (errno == ENOSYS)
2781 /* Function not implemented. */
2783 feclearexcept (FE_ALL_EXCEPT);
2787 TEST_f_f (gamma, plus_infty, plus_infty);
2788 TEST_f_f (gamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
2789 TEST_f_f (gamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
2790 TEST_f_f (gamma, minus_infty, plus_infty);
2791 TEST_f_f (gamma, nan_value, nan_value);
2793 TEST_f_f1 (gamma, 1, 0, 1);
2794 TEST_f_f1 (gamma, 3, M_LN2l, 1);
2796 TEST_f_f1 (gamma, 0.5, M_LOG_SQRT_PIl, 1);
2797 TEST_f_f1 (gamma, -0.5, M_LOG_2_SQRT_PIl, -1);
2806 FUNC(hypot) (0.7L, 12.4L);
2807 if (errno == ENOSYS)
2808 /* Function not implemented. */
2813 TEST_ff_f (hypot, plus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN);
2814 TEST_ff_f (hypot, minus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN);
2817 TEST_ff_f (hypot, plus_infty, nan_value, plus_infty);
2818 TEST_ff_f (hypot, minus_infty, nan_value, plus_infty);
2819 TEST_ff_f (hypot, nan_value, plus_infty, plus_infty);
2820 TEST_ff_f (hypot, nan_value, minus_infty, plus_infty);
2823 TEST_ff_f (hypot, nan_value, nan_value, nan_value);
2825 /* hypot (x,y) == hypot (+-x, +-y) */
2826 TEST_ff_f (hypot, 0.7L, 12.4L, 12.419742348374220601176836866763271L);
2827 TEST_ff_f (hypot, -0.7L, 12.4L, 12.419742348374220601176836866763271L);
2828 TEST_ff_f (hypot, 0.7L, -12.4L, 12.419742348374220601176836866763271L);
2829 TEST_ff_f (hypot, -0.7L, -12.4L, 12.419742348374220601176836866763271L);
2830 TEST_ff_f (hypot, 12.4L, 0.7L, 12.419742348374220601176836866763271L);
2831 TEST_ff_f (hypot, -12.4L, 0.7L, 12.419742348374220601176836866763271L);
2832 TEST_ff_f (hypot, 12.4L, -0.7L, 12.419742348374220601176836866763271L);
2833 TEST_ff_f (hypot, -12.4L, -0.7L, 12.419742348374220601176836866763271L);
2835 /* hypot (x,0) == fabs (x) */
2836 TEST_ff_f (hypot, 0.75L, 0, 0.75L);
2837 TEST_ff_f (hypot, -0.75L, 0, 0.75L);
2838 TEST_ff_f (hypot, -5.7e7, 0, 5.7e7L);
2840 TEST_ff_f (hypot, 0.75L, 1.25L, 1.45773797371132511771853821938639577L);
2851 TEST_f_i (ilogb, 1, 0);
2852 TEST_f_i (ilogb, M_El, 1);
2853 TEST_f_i (ilogb, 1024, 10);
2854 TEST_f_i (ilogb, -2000, 10);
2856 /* XXX We have a problem here: the standard does not tell us whether
2857 exceptions are allowed/required. ignore them for now. */
2859 TEST_f_i (ilogb, 0.0, FP_ILOGB0, EXCEPTIONS_OK);
2860 TEST_f_i (ilogb, nan_value, FP_ILOGBNAN, EXCEPTIONS_OK);
2861 TEST_f_i (ilogb, plus_infty, INT_MAX, EXCEPTIONS_OK);
2862 TEST_f_i (ilogb, minus_infty, INT_MAX, EXCEPTIONS_OK);
2868 isfinite_test (void)
2872 TEST_f_b (isfinite, 0, 1);
2873 TEST_f_b (isfinite, minus_zero, 1);
2874 TEST_f_b (isfinite, 10, 1);
2875 TEST_f_b (isfinite, plus_infty, 0);
2876 TEST_f_b (isfinite, minus_infty, 0);
2877 TEST_f_b (isfinite, nan_value, 0);
2883 isnormal_test (void)
2887 TEST_f_b (isnormal, 0, 0);
2888 TEST_f_b (isnormal, minus_zero, 0);
2889 TEST_f_b (isnormal, 10, 1);
2890 TEST_f_b (isnormal, plus_infty, 0);
2891 TEST_f_b (isnormal, minus_infty, 0);
2892 TEST_f_b (isnormal, nan_value, 0);
2902 FUNC (sincos) (0, &s, &c);
2903 if (errno == ENOSYS)
2904 /* Required function not implemented. */
2907 if (errno == ENOSYS)
2908 /* Function not implemented. */
2913 /* j0 is the Bessel function of the first kind of order 0 */
2914 TEST_f_f (j0, nan_value, nan_value);
2915 TEST_f_f (j0, plus_infty, 0);
2916 TEST_f_f (j0, -1.0, 0.765197686557966551449717526102663221L);
2917 TEST_f_f (j0, 0.0, 1.0);
2918 TEST_f_f (j0, 0.125L, 0.996097563041985204620768999453174712L);
2919 TEST_f_f (j0, 0.75L, 0.864242275166648623555731103820923211L);
2920 TEST_f_f (j0, 1.0, 0.765197686557966551449717526102663221L);
2921 TEST_f_f (j0, 1.5, 0.511827671735918128749051744283411720L);
2922 TEST_f_f (j0, 2.0, 0.223890779141235668051827454649948626L);
2923 TEST_f_f (j0, 8.0, 0.171650807137553906090869407851972001L);
2924 TEST_f_f (j0, 10.0, -0.245935764451348335197760862485328754L);
2925 TEST_f_f (j0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
2926 TEST_f_f (j0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
2937 FUNC (sincos) (0, &s, &c);
2938 if (errno == ENOSYS)
2939 /* Required function not implemented. */
2942 if (errno == ENOSYS)
2943 /* Function not implemented. */
2946 /* j1 is the Bessel function of the first kind of order 1 */
2950 TEST_f_f (j1, nan_value, nan_value);
2951 TEST_f_f (j1, plus_infty, 0);
2953 TEST_f_f (j1, -1.0, -0.440050585744933515959682203718914913L);
2954 TEST_f_f (j1, 0.0, 0.0);
2955 TEST_f_f (j1, 0.125L, 0.0623780091344946810942311355879361177L);
2956 TEST_f_f (j1, 0.75L, 0.349243602174862192523281016426251335L);
2957 TEST_f_f (j1, 1.0, 0.440050585744933515959682203718914913L);
2958 TEST_f_f (j1, 1.5, 0.557936507910099641990121213156089400L);
2959 TEST_f_f (j1, 2.0, 0.576724807756873387202448242269137087L);
2960 TEST_f_f (j1, 8.0, 0.234636346853914624381276651590454612L);
2961 TEST_f_f (j1, 10.0, 0.0434727461688614366697487680258592883L);
2971 FUNC (sincos) (0, &s, &c);
2972 if (errno == ENOSYS)
2973 /* Required function not implemented. */
2976 if (errno == ENOSYS)
2977 /* Function not implemented. */
2980 /* jn is the Bessel function of the first kind of order n. */
2983 /* jn (0, x) == j0 (x) */
2984 TEST_ff_f (jn, 0, nan_value, nan_value);
2985 TEST_ff_f (jn, 0, plus_infty, 0);
2986 TEST_ff_f (jn, 0, -1.0, 0.765197686557966551449717526102663221L);
2987 TEST_ff_f (jn, 0, 0.0, 1.0);
2988 TEST_ff_f (jn, 0, 0.125L, 0.996097563041985204620768999453174712L);
2989 TEST_ff_f (jn, 0, 0.75L, 0.864242275166648623555731103820923211L);
2990 TEST_ff_f (jn, 0, 1.0, 0.765197686557966551449717526102663221L);
2991 TEST_ff_f (jn, 0, 1.5, 0.511827671735918128749051744283411720L);
2992 TEST_ff_f (jn, 0, 2.0, 0.223890779141235668051827454649948626L);
2993 TEST_ff_f (jn, 0, 8.0, 0.171650807137553906090869407851972001L);
2994 TEST_ff_f (jn, 0, 10.0, -0.245935764451348335197760862485328754L);
2995 TEST_ff_f (jn, 0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
2996 TEST_ff_f (jn, 0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
2998 /* jn (1, x) == j1 (x) */
2999 TEST_ff_f (jn, 1, nan_value, nan_value);
3000 TEST_ff_f (jn, 1, plus_infty, 0);
3001 TEST_ff_f (jn, 1, -1.0, -0.440050585744933515959682203718914913L);
3002 TEST_ff_f (jn, 1, 0.0, 0.0);
3003 TEST_ff_f (jn, 1, 0.125L, 0.0623780091344946810942311355879361177L);
3004 TEST_ff_f (jn, 1, 0.75L, 0.349243602174862192523281016426251335L);
3005 TEST_ff_f (jn, 1, 1.0, 0.440050585744933515959682203718914913L);
3006 TEST_ff_f (jn, 1, 1.5, 0.557936507910099641990121213156089400L);
3007 TEST_ff_f (jn, 1, 2.0, 0.576724807756873387202448242269137087L);
3008 TEST_ff_f (jn, 1, 8.0, 0.234636346853914624381276651590454612L);
3009 TEST_ff_f (jn, 1, 10.0, 0.0434727461688614366697487680258592883L);
3012 TEST_ff_f (jn, 3, nan_value, nan_value);
3013 TEST_ff_f (jn, 3, plus_infty, 0);
3015 TEST_ff_f (jn, 3, -1.0, -0.0195633539826684059189053216217515083L);
3016 TEST_ff_f (jn, 3, 0.0, 0.0);
3017 TEST_ff_f (jn, 3, 0.125L, 0.406503832554912875023029337653442868e-4L);
3018 TEST_ff_f (jn, 3, 0.75L, 0.848438342327410884392755236884386804e-2L);
3019 TEST_ff_f (jn, 3, 1.0, 0.0195633539826684059189053216217515083L);
3020 TEST_ff_f (jn, 3, 2.0, 0.128943249474402051098793332969239835L);
3021 TEST_ff_f (jn, 3, 10.0, 0.0583793793051868123429354784103409563L);
3024 TEST_ff_f (jn, 10, nan_value, nan_value);
3025 TEST_ff_f (jn, 10, plus_infty, 0);
3027 TEST_ff_f (jn, 10, -1.0, 0.263061512368745320699785368779050294e-9L);
3028 TEST_ff_f (jn, 10, 0.0, 0.0);
3029 TEST_ff_f (jn, 10, 0.125L, 0.250543369809369890173993791865771547e-18L);
3030 TEST_ff_f (jn, 10, 0.75L, 0.149621713117596814698712483621682835e-10L);
3031 TEST_ff_f (jn, 10, 1.0, 0.263061512368745320699785368779050294e-9L);
3032 TEST_ff_f (jn, 10, 2.0, 0.251538628271673670963516093751820639e-6L);
3033 TEST_ff_f (jn, 10, 10.0, 0.207486106633358857697278723518753428L);
3042 TEST_ff_f (ldexp, 0, 0, 0);
3043 TEST_ff_f (ldexp, minus_zero, 0, minus_zero);
3045 TEST_ff_f (ldexp, plus_infty, 1, plus_infty);
3046 TEST_ff_f (ldexp, minus_infty, 1, minus_infty);
3047 TEST_ff_f (ldexp, nan_value, 1, nan_value);
3049 TEST_ff_f (ldexp, 0.8L, 4, 12.8L);
3050 TEST_ff_f (ldexp, -0.854375L, 5, -27.34L);
3052 /* ldexp (x, 0) == x. */
3053 TEST_ff_f (ldexp, 1.0L, 0L, 1.0L);
3062 if (errno == ENOSYS)
3063 /* Function not implemented. */
3065 feclearexcept (FE_ALL_EXCEPT);
3069 TEST_f_f (lgamma, plus_infty, plus_infty);
3070 TEST_f_f (lgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3071 TEST_f_f (lgamma, nan_value, nan_value);
3073 /* lgamma (x) == +inf plus divide by zero exception for integer x <= 0. */
3074 TEST_f_f (lgamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3075 TEST_f_f (lgamma, minus_infty, plus_infty);
3077 TEST_f_f1 (lgamma, 1, 0, 1);
3079 TEST_f_f1 (lgamma, 3, M_LN2l, 1);
3081 TEST_f_f1 (lgamma, 0.5, M_LOG_SQRT_PIl, 1);
3082 TEST_f_f1 (lgamma, -0.5, M_LOG_2_SQRT_PIl, -1);
3083 TEST_f_f1 (lgamma, 0.7L, 0.260867246531666514385732417016759578L, 1);
3084 TEST_f_f1 (lgamma, 1.2L, -0.853740900033158497197028392998854470e-1L, 1);
3093 /* XXX this test is incomplete. We need to have a way to specifiy
3094 the rounding method and test the critical cases. So far, only
3095 unproblematic numbers are tested. */
3099 TEST_f_l (lrint, 0.0, 0);
3100 TEST_f_l (lrint, minus_zero, 0);
3101 TEST_f_l (lrint, 0.2L, 0);
3102 TEST_f_l (lrint, -0.2L, 0);
3104 TEST_f_l (lrint, 1.4L, 1);
3105 TEST_f_l (lrint, -1.4L, -1);
3107 TEST_f_l (lrint, 8388600.3L, 8388600);
3108 TEST_f_l (lrint, -8388600.3L, -8388600);
3110 TEST_f_l (lrint, 1071930.0008, 1071930);
3112 TEST_f_l (lrint, 1073741824.01, 1073741824);
3113 # if LONG_MAX > 281474976710656
3114 TEST_f_l (lrint, 281474976710656.025, 281474976710656);
3125 /* XXX this test is incomplete. We need to have a way to specifiy
3126 the rounding method and test the critical cases. So far, only
3127 unproblematic numbers are tested. */
3131 TEST_f_L (llrint, 0.0, 0);
3132 TEST_f_L (llrint, minus_zero, 0);
3133 TEST_f_L (llrint, 0.2L, 0);
3134 TEST_f_L (llrint, -0.2L, 0);
3136 TEST_f_L (llrint, 1.4L, 1);
3137 TEST_f_L (llrint, -1.4L, -1);
3139 TEST_f_L (llrint, 8388600.3L, 8388600);
3140 TEST_f_L (llrint, -8388600.3L, -8388600);
3142 TEST_f_l (llrint, 1071930.0008, 1071930);
3144 /* Test boundary conditions. */
3146 TEST_f_L (llrint, 2097151.0,2097151LL);
3148 TEST_f_L (llrint, 8388608.0, 8388608LL);
3150 TEST_f_L (llrint, 16777216.0, 16777216LL);
3152 TEST_f_L (llrint, 2199023255552.0, 2199023255552LL);
3154 TEST_f_L (llrint, 4398046511104.0, 4398046511104LL);
3155 /* 0x1000000000000 */
3156 TEST_f_L (llrint, 281474976710656.0, 281474976710656LL);
3157 /* 0x10000000000000 */
3158 TEST_f_L (llrint, 4503599627370496.0, 4503599627370496LL);
3159 /* 0x10000080000000 */
3160 TEST_f_L (llrint, 4503601774854144.0, 4503601774854144LL);
3161 /* 0x20000000000000 */
3162 TEST_f_L (llrint, 9007199254740992.0, 9007199254740992LL);
3163 /* 0x80000000000000 */
3164 TEST_f_L (llrint, 36028797018963968.0, 36028797018963968LL);
3165 /* 0x100000000000000 */
3166 TEST_f_L (llrint, 72057594037927936.0, 72057594037927936LL);
3177 if (errno == ENOSYS)
3178 /* Function not implemented. */
3182 TEST_f_f (log, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3183 TEST_f_f (log, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3185 TEST_f_f (log, 1, 0);
3187 TEST_f_f (log, -1, nan_value, INVALID_EXCEPTION);
3188 TEST_f_f (log, plus_infty, plus_infty);
3190 TEST_f_f (log, M_El, 1);
3191 TEST_f_f (log, 1.0 / M_El, -1);
3192 TEST_f_f (log, 2, M_LN2l);
3193 TEST_f_f (log, 10, M_LN10l);
3194 TEST_f_f (log, 0.75L, -0.287682072451780927439219005993827432L);
3205 if (errno == ENOSYS)
3206 /* Function not implemented. */
3211 TEST_f_f (log10, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3212 TEST_f_f (log10, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3214 TEST_f_f (log10, 1, 0);
3216 /* log10 (x) == NaN plus invalid exception if x < 0. */
3217 TEST_f_f (log10, -1, nan_value, INVALID_EXCEPTION);
3219 TEST_f_f (log10, plus_infty, plus_infty);
3220 TEST_f_f (log10, nan_value, nan_value);
3222 TEST_f_f (log10, 0.1L, -1);
3223 TEST_f_f (log10, 10.0, 1);
3224 TEST_f_f (log10, 100.0, 2);
3225 TEST_f_f (log10, 10000.0, 4);
3226 TEST_f_f (log10, M_El, M_LOG10El);
3227 TEST_f_f (log10, 0.75L, -0.124938736608299953132449886193870744L);
3238 if (errno == ENOSYS)
3239 /* Function not implemented. */
3244 TEST_f_f (log1p, 0, 0);
3245 TEST_f_f (log1p, minus_zero, minus_zero);
3247 TEST_f_f (log1p, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3248 TEST_f_f (log1p, -2, nan_value, INVALID_EXCEPTION);
3250 TEST_f_f (log1p, plus_infty, plus_infty);
3251 TEST_f_f (log1p, nan_value, nan_value);
3253 TEST_f_f (log1p, M_El - 1.0, 1);
3255 TEST_f_f (log1p, -0.25L, -0.287682072451780927439219005993827432L);
3256 TEST_f_f (log1p, -0.875, -2.07944154167983592825169636437452970L);
3267 if (errno == ENOSYS)
3268 /* Function not implemented. */
3273 TEST_f_f (log2, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3274 TEST_f_f (log2, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3276 TEST_f_f (log2, 1, 0);
3278 TEST_f_f (log2, -1, nan_value, INVALID_EXCEPTION);
3280 TEST_f_f (log2, plus_infty, plus_infty);
3281 TEST_f_f (log2, nan_value, nan_value);
3283 TEST_f_f (log2, M_El, M_LOG2El);
3284 TEST_f_f (log2, 2.0, 1);
3285 TEST_f_f (log2, 16.0, 4);
3286 TEST_f_f (log2, 256.0, 8);
3287 TEST_f_f (log2, 0.75L, -.415037499278843818546261056052183492L);
3298 TEST_f_f (logb, plus_infty, plus_infty);
3299 TEST_f_f (logb, minus_infty, plus_infty);
3301 TEST_f_f (logb, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3303 TEST_f_f (logb, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3304 TEST_f_f (logb, nan_value, nan_value);
3306 TEST_f_f (logb, 1, 0);
3307 TEST_f_f (logb, M_El, 1);
3308 TEST_f_f (logb, 1024, 10);
3309 TEST_f_f (logb, -2000, 10);
3320 TEST_f_l (lround, 0, 0);
3321 TEST_f_l (lround, minus_zero, 0);
3322 TEST_f_l (lround, 0.2L, 0.0);
3323 TEST_f_l (lround, -0.2L, 0);
3324 TEST_f_l (lround, 0.5, 1);
3325 TEST_f_l (lround, -0.5, -1);
3326 TEST_f_l (lround, 0.8L, 1);
3327 TEST_f_l (lround, -0.8L, -1);
3328 TEST_f_l (lround, 1.5, 2);
3329 TEST_f_l (lround, -1.5, -2);
3330 TEST_f_l (lround, 22514.5, 22515);
3331 TEST_f_l (lround, -22514.5, -22515);
3332 TEST_f_l (lround, 1071930.0008, 1071930);
3334 TEST_f_l (lround, 1073741824.01, 1073741824);
3335 # if LONG_MAX > 281474976710656
3336 TEST_f_l (lround, 281474976710656.025, 281474976710656);
3338 TEST_f_l (lround, 2097152.5, 2097153);
3339 TEST_f_l (lround, -2097152.5, -2097153);
3350 TEST_f_L (llround, 0, 0);
3351 TEST_f_L (llround, minus_zero, 0);
3352 TEST_f_L (llround, 0.2L, 0.0);
3353 TEST_f_L (llround, -0.2L, 0);
3354 TEST_f_L (llround, 0.5, 1);
3355 TEST_f_L (llround, -0.5, -1);
3356 TEST_f_L (llround, 0.8L, 1);
3357 TEST_f_L (llround, -0.8L, -1);
3358 TEST_f_L (llround, 1.5, 2);
3359 TEST_f_L (llround, -1.5, -2);
3360 TEST_f_L (llround, 22514.5, 22515);
3361 TEST_f_L (llround, -22514.5, -22515);
3362 TEST_f_l (llround, 1071930.0008, 1071930);
3364 TEST_f_L (llround, 2097152.5, 2097153);
3365 TEST_f_L (llround, -2097152.5, -2097153);
3366 TEST_f_L (llround, 34359738368.5, 34359738369ll);
3367 TEST_f_L (llround, -34359738368.5, -34359738369ll);
3370 /* Test boundary conditions. */
3372 TEST_f_L (llround, 2097151.0, 2097151LL);
3374 TEST_f_L (llround, 8388608.0, 8388608LL);
3376 TEST_f_L (llround, 16777216.0, 16777216LL);
3378 TEST_f_L (llround, 2199023255552.0, 2199023255552LL);
3380 TEST_f_L (llround, 4398046511104.0, 4398046511104LL);
3381 /* 0x1000000000000 */
3382 TEST_f_L (llround, 281474976710656.0, 281474976710656LL);
3383 /* 0x10000000000000 */
3384 TEST_f_L (llround, 4503599627370496.0, 4503599627370496LL);
3385 /* 0x10000080000000 */
3386 TEST_f_L (llround, 4503601774854144.0, 4503601774854144LL);
3387 /* 0x20000000000000 */
3388 TEST_f_L (llround, 9007199254740992.0, 9007199254740992LL);
3389 /* 0x80000000000000 */
3390 TEST_f_L (llround, 36028797018963968.0, 36028797018963968LL);
3391 /* 0x100000000000000 */
3392 TEST_f_L (llround, 72057594037927936.0, 72057594037927936LL);
3396 TEST_f_L (llround, 4294967295.5, 4294967296LL);
3398 TEST_f_L (llround, 8589934591.5, 8589934592LL);
3411 TEST_fF_f1 (modf, plus_infty, 0, plus_infty);
3412 TEST_fF_f1 (modf, minus_infty, minus_zero, minus_infty);
3413 TEST_fF_f1 (modf, nan_value, nan_value, nan_value);
3414 TEST_fF_f1 (modf, 0, 0, 0);
3415 TEST_fF_f1 (modf, 1.5, 0.5, 1);
3416 TEST_fF_f1 (modf, 2.5, 0.5, 2);
3417 TEST_fF_f1 (modf, -2.5, -0.5, -2);
3418 TEST_fF_f1 (modf, 20, 0, 20);
3419 TEST_fF_f1 (modf, 21, 0, 21);
3420 TEST_fF_f1 (modf, 89.5, 0.5, 89);
3427 nearbyint_test (void)
3431 TEST_f_f (nearbyint, 0.0, 0.0);
3432 TEST_f_f (nearbyint, minus_zero, minus_zero);
3433 TEST_f_f (nearbyint, plus_infty, plus_infty);
3434 TEST_f_f (nearbyint, minus_infty, minus_infty);
3435 TEST_f_f (nearbyint, nan_value, nan_value);
3437 /* Default rounding mode is round to nearest. */
3438 TEST_f_f (nearbyint, 0.5, 0.0);
3439 TEST_f_f (nearbyint, 1.5, 2.0);
3440 TEST_f_f (nearbyint, -0.5, minus_zero);
3441 TEST_f_f (nearbyint, -1.5, -2.0);
3447 nextafter_test (void)
3452 TEST_ff_f (nextafter, 0, 0, 0);
3453 TEST_ff_f (nextafter, minus_zero, 0, 0);
3454 TEST_ff_f (nextafter, 0, minus_zero, minus_zero);
3455 TEST_ff_f (nextafter, minus_zero, minus_zero, minus_zero);
3457 TEST_ff_f (nextafter, 9, 9, 9);
3458 TEST_ff_f (nextafter, -9, -9, -9);
3459 TEST_ff_f (nextafter, plus_infty, plus_infty, plus_infty);
3460 TEST_ff_f (nextafter, minus_infty, minus_infty, minus_infty);
3462 TEST_ff_f (nextafter, nan_value, 1.1L, nan_value);
3463 TEST_ff_f (nextafter, 1.1L, nan_value, nan_value);
3464 TEST_ff_f (nextafter, nan_value, nan_value, nan_value);
3466 FLOAT fltmax = CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX,
3467 LDBL_MAX, DBL_MAX, FLT_MAX);
3468 TEST_ff_f (nextafter, fltmax, plus_infty, plus_infty);
3469 TEST_ff_f (nextafter, -fltmax, minus_infty, minus_infty);
3472 // XXX Enable once gcc is fixed.
3473 //TEST_ff_f (nextafter, 0x0.00000040000000000000p-16385L, -0.1L, 0x0.0000003ffffffff00000p-16385L);
3476 /* XXX We need the hexadecimal FP number representation here for further
3484 nexttoward_test (void)
3487 TEST_ff_f (nexttoward, 0, 0, 0);
3488 TEST_ff_f (nexttoward, minus_zero, 0, 0);
3489 TEST_ff_f (nexttoward, 0, minus_zero, minus_zero);
3490 TEST_ff_f (nexttoward, minus_zero, minus_zero, minus_zero);
3492 TEST_ff_f (nexttoward, 9, 9, 9);
3493 TEST_ff_f (nexttoward, -9, -9, -9);
3494 TEST_ff_f (nexttoward, plus_infty, plus_infty, plus_infty);
3495 TEST_ff_f (nexttoward, minus_infty, minus_infty, minus_infty);
3497 TEST_ff_f (nexttoward, nan_value, 1.1L, nan_value);
3498 TEST_ff_f (nexttoward, 1.1L, nan_value, nan_value);
3499 TEST_ff_f (nexttoward, nan_value, nan_value, nan_value);
3501 /* XXX We need the hexadecimal FP number representation here for further
3514 if (errno == ENOSYS)
3515 /* Function not implemented. */
3520 TEST_ff_f (pow, 0, 0, 1);
3521 TEST_ff_f (pow, 0, minus_zero, 1);
3522 TEST_ff_f (pow, minus_zero, 0, 1);
3523 TEST_ff_f (pow, minus_zero, minus_zero, 1);
3525 TEST_ff_f (pow, 10, 0, 1);
3526 TEST_ff_f (pow, 10, minus_zero, 1);
3527 TEST_ff_f (pow, -10, 0, 1);
3528 TEST_ff_f (pow, -10, minus_zero, 1);
3530 TEST_ff_f (pow, nan_value, 0, 1);
3531 TEST_ff_f (pow, nan_value, minus_zero, 1);
3535 TEST_ff_f (pow, 1.1L, plus_infty, plus_infty);
3536 TEST_ff_f (pow, plus_infty, plus_infty, plus_infty);
3537 TEST_ff_f (pow, -1.1L, plus_infty, plus_infty);
3538 TEST_ff_f (pow, minus_infty, plus_infty, plus_infty);
3540 TEST_ff_f (pow, 0.9L, plus_infty, 0);
3541 TEST_ff_f (pow, 1e-7L, plus_infty, 0);
3542 TEST_ff_f (pow, -0.9L, plus_infty, 0);
3543 TEST_ff_f (pow, -1e-7L, plus_infty, 0);
3545 TEST_ff_f (pow, 1.1L, minus_infty, 0);
3546 TEST_ff_f (pow, plus_infty, minus_infty, 0);
3547 TEST_ff_f (pow, -1.1L, minus_infty, 0);
3548 TEST_ff_f (pow, minus_infty, minus_infty, 0);
3550 TEST_ff_f (pow, 0.9L, minus_infty, plus_infty);
3551 TEST_ff_f (pow, 1e-7L, minus_infty, plus_infty);
3552 TEST_ff_f (pow, -0.9L, minus_infty, plus_infty);
3553 TEST_ff_f (pow, -1e-7L, minus_infty, plus_infty);
3555 TEST_ff_f (pow, plus_infty, 1e-7L, plus_infty);
3556 TEST_ff_f (pow, plus_infty, 1, plus_infty);
3557 TEST_ff_f (pow, plus_infty, 1e7L, plus_infty);
3559 TEST_ff_f (pow, plus_infty, -1e-7L, 0);
3560 TEST_ff_f (pow, plus_infty, -1, 0);
3561 TEST_ff_f (pow, plus_infty, -1e7L, 0);
3563 TEST_ff_f (pow, minus_infty, 1, minus_infty);
3564 TEST_ff_f (pow, minus_infty, 11, minus_infty);
3565 TEST_ff_f (pow, minus_infty, 1001, minus_infty);
3567 TEST_ff_f (pow, minus_infty, 2, plus_infty);
3568 TEST_ff_f (pow, minus_infty, 12, plus_infty);
3569 TEST_ff_f (pow, minus_infty, 1002, plus_infty);
3570 TEST_ff_f (pow, minus_infty, 0.1L, plus_infty);
3571 TEST_ff_f (pow, minus_infty, 1.1L, plus_infty);
3572 TEST_ff_f (pow, minus_infty, 11.1L, plus_infty);
3573 TEST_ff_f (pow, minus_infty, 1001.1L, plus_infty);
3575 TEST_ff_f (pow, minus_infty, -1, minus_zero);
3576 TEST_ff_f (pow, minus_infty, -11, minus_zero);
3577 TEST_ff_f (pow, minus_infty, -1001, minus_zero);
3579 TEST_ff_f (pow, minus_infty, -2, 0);
3580 TEST_ff_f (pow, minus_infty, -12, 0);
3581 TEST_ff_f (pow, minus_infty, -1002, 0);
3582 TEST_ff_f (pow, minus_infty, -0.1L, 0);
3583 TEST_ff_f (pow, minus_infty, -1.1L, 0);
3584 TEST_ff_f (pow, minus_infty, -11.1L, 0);
3585 TEST_ff_f (pow, minus_infty, -1001.1L, 0);
3588 TEST_ff_f (pow, nan_value, nan_value, nan_value);
3589 TEST_ff_f (pow, 0, nan_value, nan_value);
3590 TEST_ff_f (pow, 1, nan_value, 1);
3591 TEST_ff_f (pow, -1, nan_value, nan_value);
3592 TEST_ff_f (pow, nan_value, 1, nan_value);
3593 TEST_ff_f (pow, nan_value, -1, nan_value);
3595 /* pow (x, NaN) == NaN. */
3596 TEST_ff_f (pow, 3.0, nan_value, nan_value);
3598 TEST_ff_f (pow, 1, plus_infty, 1);
3599 TEST_ff_f (pow, -1, plus_infty, 1);
3600 TEST_ff_f (pow, 1, minus_infty, 1);
3601 TEST_ff_f (pow, -1, minus_infty, 1);
3602 TEST_ff_f (pow, 1, 1, 1);
3603 TEST_ff_f (pow, 1, -1, 1);
3604 TEST_ff_f (pow, 1, 1.25, 1);
3605 TEST_ff_f (pow, 1, -1.25, 1);
3606 TEST_ff_f (pow, 1, 0x1p62L, 1);
3607 TEST_ff_f (pow, 1, 0x1p63L, 1);
3608 TEST_ff_f (pow, 1, 0x1p64L, 1);
3609 TEST_ff_f (pow, 1, 0x1p72L, 1);
3611 /* pow (x, +-0) == 1. */
3612 TEST_ff_f (pow, plus_infty, 0, 1);
3613 TEST_ff_f (pow, plus_infty, minus_zero, 1);
3614 TEST_ff_f (pow, minus_infty, 0, 1);
3615 TEST_ff_f (pow, minus_infty, minus_zero, 1);
3616 TEST_ff_f (pow, 32.75L, 0, 1);
3617 TEST_ff_f (pow, 32.75L, minus_zero, 1);
3618 TEST_ff_f (pow, -32.75L, 0, 1);
3619 TEST_ff_f (pow, -32.75L, minus_zero, 1);
3620 TEST_ff_f (pow, 0x1p72L, 0, 1);
3621 TEST_ff_f (pow, 0x1p72L, minus_zero, 1);
3622 TEST_ff_f (pow, 0x1p-72L, 0, 1);
3623 TEST_ff_f (pow, 0x1p-72L, minus_zero, 1);
3625 TEST_ff_f (pow, -0.1L, 1.1L, nan_value, INVALID_EXCEPTION);
3626 TEST_ff_f (pow, -0.1L, -1.1L, nan_value, INVALID_EXCEPTION);
3627 TEST_ff_f (pow, -10.1L, 1.1L, nan_value, INVALID_EXCEPTION);
3628 TEST_ff_f (pow, -10.1L, -1.1L, nan_value, INVALID_EXCEPTION);
3630 TEST_ff_f (pow, 0, -1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3631 TEST_ff_f (pow, 0, -11, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3632 TEST_ff_f (pow, minus_zero, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3633 TEST_ff_f (pow, minus_zero, -11, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3635 TEST_ff_f (pow, 0, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3636 TEST_ff_f (pow, 0, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3637 TEST_ff_f (pow, minus_zero, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3638 TEST_ff_f (pow, minus_zero, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3640 TEST_ff_f (pow, 0x1p72L, 0x1p72L, plus_infty);
3641 TEST_ff_f (pow, 10, -0x1p72L, 0);
3642 TEST_ff_f (pow, max_value, max_value, plus_infty);
3643 TEST_ff_f (pow, 10, -max_value, 0);
3645 TEST_ff_f (pow, 0, 1, 0);
3646 TEST_ff_f (pow, 0, 11, 0);
3648 TEST_ff_f (pow, minus_zero, 1, minus_zero);
3649 TEST_ff_f (pow, minus_zero, 11, minus_zero);
3652 TEST_ff_f (pow, 0, 2, 0);
3653 TEST_ff_f (pow, 0, 11.1L, 0);
3656 TEST_ff_f (pow, minus_zero, 2, 0);
3657 TEST_ff_f (pow, minus_zero, 11.1L, 0);
3658 TEST_ff_f (pow, 0, plus_infty, 0);
3659 TEST_ff_f (pow, minus_zero, plus_infty, 0);
3662 /* pow (x, +inf) == +inf for |x| > 1. */
3663 TEST_ff_f (pow, 1.5, plus_infty, plus_infty);
3665 /* pow (x, +inf) == +0 for |x| < 1. */
3666 TEST_ff_f (pow, 0.5, plus_infty, 0.0);
3668 /* pow (x, -inf) == +0 for |x| > 1. */
3669 TEST_ff_f (pow, 1.5, minus_infty, 0.0);
3671 /* pow (x, -inf) == +inf for |x| < 1. */
3672 TEST_ff_f (pow, 0.5, minus_infty, plus_infty);
3675 /* pow (+inf, y) == +inf for y > 0. */
3676 TEST_ff_f (pow, plus_infty, 2, plus_infty);
3678 /* pow (+inf, y) == +0 for y < 0. */
3679 TEST_ff_f (pow, plus_infty, -1, 0.0);
3681 /* pow (-inf, y) == -inf for y an odd integer > 0. */
3682 TEST_ff_f (pow, minus_infty, 27, minus_infty);
3684 /* pow (-inf, y) == +inf for y > 0 and not an odd integer. */
3685 TEST_ff_f (pow, minus_infty, 28, plus_infty);
3687 /* pow (-inf, y) == -0 for y an odd integer < 0. */
3688 TEST_ff_f (pow, minus_infty, -3, minus_zero);
3689 /* pow (-inf, y) == +0 for y < 0 and not an odd integer. */
3690 TEST_ff_f (pow, minus_infty, -2.0, 0.0);
3692 /* pow (+0, y) == +0 for y an odd integer > 0. */
3693 TEST_ff_f (pow, 0.0, 27, 0.0);
3695 /* pow (-0, y) == -0 for y an odd integer > 0. */
3696 TEST_ff_f (pow, minus_zero, 27, minus_zero);
3698 /* pow (+0, y) == +0 for y > 0 and not an odd integer. */
3699 TEST_ff_f (pow, 0.0, 4, 0.0);
3701 /* pow (-0, y) == +0 for y > 0 and not an odd integer. */
3702 TEST_ff_f (pow, minus_zero, 4, 0.0);
3704 TEST_ff_f (pow, 16, 0.25L, 2);
3705 TEST_ff_f (pow, 0x1p64L, 0.125L, 256);
3706 TEST_ff_f (pow, 2, 4, 16);
3707 TEST_ff_f (pow, 256, 8, 0x1p64L);
3709 TEST_ff_f (pow, 0.75L, 1.25L, 0.697953644326574699205914060237425566L);
3711 #if defined TEST_DOUBLE || defined TEST_LDOUBLE
3712 TEST_ff_f (pow, -7.49321e+133, -9.80818e+16, 0);
3719 remainder_test (void)
3722 FUNC(remainder) (1.625, 1.0);
3723 if (errno == ENOSYS)
3724 /* Function not implemented. */
3729 TEST_ff_f (remainder, 1, 0, nan_value, INVALID_EXCEPTION);
3730 TEST_ff_f (remainder, 1, minus_zero, nan_value, INVALID_EXCEPTION);
3731 TEST_ff_f (remainder, plus_infty, 1, nan_value, INVALID_EXCEPTION);
3732 TEST_ff_f (remainder, minus_infty, 1, nan_value, INVALID_EXCEPTION);
3733 TEST_ff_f (remainder, nan_value, nan_value, nan_value);
3735 TEST_ff_f (remainder, 1.625, 1.0, -0.375);
3736 TEST_ff_f (remainder, -1.625, 1.0, 0.375);
3737 TEST_ff_f (remainder, 1.625, -1.0, -0.375);
3738 TEST_ff_f (remainder, -1.625, -1.0, 0.375);
3739 TEST_ff_f (remainder, 5.0, 2.0, 1.0);
3740 TEST_ff_f (remainder, 3.0, 2.0, -1.0);
3752 FUNC(remquo) (1.625, 1.0, &x);
3753 if (errno == ENOSYS)
3754 /* Function not implemented. */
3759 TEST_ffI_f1 (remquo, 1, 0, nan_value, IGNORE, INVALID_EXCEPTION);
3760 TEST_ffI_f1 (remquo, 1, minus_zero, nan_value, IGNORE, INVALID_EXCEPTION);
3761 TEST_ffI_f1 (remquo, plus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION);
3762 TEST_ffI_f1 (remquo, minus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION);
3763 TEST_ffI_f1 (remquo, nan_value, nan_value, nan_value, IGNORE);
3765 TEST_ffI_f1 (remquo, 1.625, 1.0, -0.375, 2);
3766 TEST_ffI_f1 (remquo, -1.625, 1.0, 0.375, -2);
3767 TEST_ffI_f1 (remquo, 1.625, -1.0, -0.375, -2);
3768 TEST_ffI_f1 (remquo, -1.625, -1.0, 0.375, 2);
3770 TEST_ffI_f1 (remquo, 5, 2, 1, 2);
3771 TEST_ffI_f1 (remquo, 3, 2, -1, 2);
3781 TEST_f_f (rint, 0.0, 0.0);
3782 TEST_f_f (rint, minus_zero, minus_zero);
3783 TEST_f_f (rint, plus_infty, plus_infty);
3784 TEST_f_f (rint, minus_infty, minus_infty);
3786 /* Default rounding mode is round to even. */
3787 TEST_f_f (rint, 0.5, 0.0);
3788 TEST_f_f (rint, 1.5, 2.0);
3789 TEST_f_f (rint, 2.5, 2.0);
3790 TEST_f_f (rint, 3.5, 4.0);
3791 TEST_f_f (rint, 4.5, 4.0);
3792 TEST_f_f (rint, -0.5, -0.0);
3793 TEST_f_f (rint, -1.5, -2.0);
3794 TEST_f_f (rint, -2.5, -2.0);
3795 TEST_f_f (rint, -3.5, -4.0);
3796 TEST_f_f (rint, -4.5, -4.0);
3802 rint_test_tonearest (void)
3804 int save_round_mode;
3805 START (rint_tonearest);
3807 save_round_mode = fegetround();
3809 if (!fesetround (FE_TONEAREST))
3811 TEST_f_f (rint, 2.0, 2.0);
3812 TEST_f_f (rint, 1.5, 2.0);
3813 TEST_f_f (rint, 1.0, 1.0);
3814 TEST_f_f (rint, 0.5, 0.0);
3815 TEST_f_f (rint, 0.0, 0.0);
3816 TEST_f_f (rint, minus_zero, minus_zero);
3817 TEST_f_f (rint, -0.5, -0.0);
3818 TEST_f_f (rint, -1.0, -1.0);
3819 TEST_f_f (rint, -1.5, -2.0);
3820 TEST_f_f (rint, -2.0, -2.0);
3823 fesetround(save_round_mode);
3825 END (rint_tonearest);
3829 rint_test_towardzero (void)
3831 int save_round_mode;
3832 START (rint_towardzero);
3834 save_round_mode = fegetround();
3836 if (!fesetround (FE_TOWARDZERO))
3838 TEST_f_f (rint, 2.0, 2.0);
3839 TEST_f_f (rint, 1.5, 1.0);
3840 TEST_f_f (rint, 1.0, 1.0);
3841 TEST_f_f (rint, 0.5, 0.0);
3842 TEST_f_f (rint, 0.0, 0.0);
3843 TEST_f_f (rint, minus_zero, minus_zero);
3844 TEST_f_f (rint, -0.5, -0.0);
3845 TEST_f_f (rint, -1.0, -1.0);
3846 TEST_f_f (rint, -1.5, -1.0);
3847 TEST_f_f (rint, -2.0, -2.0);
3850 fesetround(save_round_mode);
3852 END (rint_towardzero);
3856 rint_test_downward (void)
3858 int save_round_mode;
3859 START (rint_downward);
3861 save_round_mode = fegetround();
3863 if (!fesetround (FE_DOWNWARD))
3865 TEST_f_f (rint, 2.0, 2.0);
3866 TEST_f_f (rint, 1.5, 1.0);
3867 TEST_f_f (rint, 1.0, 1.0);
3868 TEST_f_f (rint, 0.5, 0.0);
3869 TEST_f_f (rint, 0.0, 0.0);
3870 TEST_f_f (rint, minus_zero, minus_zero);
3871 TEST_f_f (rint, -0.5, -1.0);
3872 TEST_f_f (rint, -1.0, -1.0);
3873 TEST_f_f (rint, -1.5, -2.0);
3874 TEST_f_f (rint, -2.0, -2.0);
3877 fesetround(save_round_mode);
3879 END (rint_downward);
3883 rint_test_upward (void)
3885 int save_round_mode;
3886 START (rint_upward);
3888 save_round_mode = fegetround();
3890 if (!fesetround (FE_UPWARD))
3892 TEST_f_f (rint, 2.0, 2.0);
3893 TEST_f_f (rint, 1.5, 2.0);
3894 TEST_f_f (rint, 1.0, 1.0);
3895 TEST_f_f (rint, 0.5, 1.0);
3896 TEST_f_f (rint, 0.0, 0.0);
3897 TEST_f_f (rint, minus_zero, minus_zero);
3898 TEST_f_f (rint, -0.5, -0.0);
3899 TEST_f_f (rint, -1.0, -1.0);
3900 TEST_f_f (rint, -1.5, -1.0);
3901 TEST_f_f (rint, -2.0, -2.0);
3904 fesetround(save_round_mode);
3914 TEST_f_f (round, 0, 0);
3915 TEST_f_f (round, minus_zero, minus_zero);
3916 TEST_f_f (round, 0.2L, 0.0);
3917 TEST_f_f (round, -0.2L, minus_zero);
3918 TEST_f_f (round, 0.5, 1.0);
3919 TEST_f_f (round, -0.5, -1.0);
3920 TEST_f_f (round, 0.8L, 1.0);
3921 TEST_f_f (round, -0.8L, -1.0);
3922 TEST_f_f (round, 1.5, 2.0);
3923 TEST_f_f (round, -1.5, -2.0);
3924 TEST_f_f (round, 2097152.5, 2097153);
3925 TEST_f_f (round, -2097152.5, -2097153);
3937 TEST_ff_f (scalb, 2.0, 0.5, nan_value, INVALID_EXCEPTION);
3938 TEST_ff_f (scalb, 3.0, -2.5, nan_value, INVALID_EXCEPTION);
3940 TEST_ff_f (scalb, 0, nan_value, nan_value);
3941 TEST_ff_f (scalb, 1, nan_value, nan_value);
3943 TEST_ff_f (scalb, 1, 0, 1);
3944 TEST_ff_f (scalb, -1, 0, -1);
3946 TEST_ff_f (scalb, 0, plus_infty, nan_value, INVALID_EXCEPTION);
3947 TEST_ff_f (scalb, minus_zero, plus_infty, nan_value, INVALID_EXCEPTION);
3949 TEST_ff_f (scalb, 0, 2, 0);
3950 TEST_ff_f (scalb, minus_zero, -4, minus_zero);
3951 TEST_ff_f (scalb, 0, 0, 0);
3952 TEST_ff_f (scalb, minus_zero, 0, minus_zero);
3953 TEST_ff_f (scalb, 0, -1, 0);
3954 TEST_ff_f (scalb, minus_zero, -10, minus_zero);
3955 TEST_ff_f (scalb, 0, minus_infty, 0);
3956 TEST_ff_f (scalb, minus_zero, minus_infty, minus_zero);
3958 TEST_ff_f (scalb, plus_infty, -1, plus_infty);
3959 TEST_ff_f (scalb, minus_infty, -10, minus_infty);
3960 TEST_ff_f (scalb, plus_infty, 0, plus_infty);
3961 TEST_ff_f (scalb, minus_infty, 0, minus_infty);
3962 TEST_ff_f (scalb, plus_infty, 2, plus_infty);
3963 TEST_ff_f (scalb, minus_infty, 100, minus_infty);
3965 TEST_ff_f (scalb, 0.1L, minus_infty, 0.0);
3966 TEST_ff_f (scalb, -0.1L, minus_infty, minus_zero);
3968 TEST_ff_f (scalb, 1, plus_infty, plus_infty);
3969 TEST_ff_f (scalb, -1, plus_infty, minus_infty);
3970 TEST_ff_f (scalb, plus_infty, plus_infty, plus_infty);
3971 TEST_ff_f (scalb, minus_infty, plus_infty, minus_infty);
3973 TEST_ff_f (scalb, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
3974 TEST_ff_f (scalb, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
3976 TEST_ff_f (scalb, nan_value, 1, nan_value);
3977 TEST_ff_f (scalb, 1, nan_value, nan_value);
3978 TEST_ff_f (scalb, nan_value, 0, nan_value);
3979 TEST_ff_f (scalb, 0, nan_value, nan_value);
3980 TEST_ff_f (scalb, nan_value, plus_infty, nan_value);
3981 TEST_ff_f (scalb, plus_infty, nan_value, nan_value);
3982 TEST_ff_f (scalb, nan_value, nan_value, nan_value);
3984 TEST_ff_f (scalb, 0.8L, 4, 12.8L);
3985 TEST_ff_f (scalb, -0.854375L, 5, -27.34L);
3997 TEST_fi_f (scalbn, 0, 0, 0);
3998 TEST_fi_f (scalbn, minus_zero, 0, minus_zero);
4000 TEST_fi_f (scalbn, plus_infty, 1, plus_infty);
4001 TEST_fi_f (scalbn, minus_infty, 1, minus_infty);
4002 TEST_fi_f (scalbn, nan_value, 1, nan_value);
4004 TEST_fi_f (scalbn, 0.8L, 4, 12.8L);
4005 TEST_fi_f (scalbn, -0.854375L, 5, -27.34L);
4007 TEST_fi_f (scalbn, 1, 0L, 1);
4019 TEST_fl_f (scalbln, 0, 0, 0);
4020 TEST_fl_f (scalbln, minus_zero, 0, minus_zero);
4022 TEST_fl_f (scalbln, plus_infty, 1, plus_infty);
4023 TEST_fl_f (scalbln, minus_infty, 1, minus_infty);
4024 TEST_fl_f (scalbln, nan_value, 1, nan_value);
4026 TEST_fl_f (scalbln, 0.8L, 4, 12.8L);
4027 TEST_fl_f (scalbln, -0.854375L, 5, -27.34L);
4029 TEST_fl_f (scalbln, 1, 0L, 1);
4041 TEST_f_b (signbit, 0, 0);
4042 TEST_f_b (signbit, minus_zero, 1);
4043 TEST_f_b (signbit, plus_infty, 0);
4044 TEST_f_b (signbit, minus_infty, 1);
4046 /* signbit (x) != 0 for x < 0. */
4047 TEST_f_b (signbit, -1, 1);
4048 /* signbit (x) == 0 for x >= 0. */
4049 TEST_f_b (signbit, 1, 0);
4060 if (errno == ENOSYS)
4061 /* Function not implemented. */
4066 TEST_f_f (sin, 0, 0);
4067 TEST_f_f (sin, minus_zero, minus_zero);
4068 TEST_f_f (sin, plus_infty, nan_value, INVALID_EXCEPTION);
4069 TEST_f_f (sin, minus_infty, nan_value, INVALID_EXCEPTION);
4070 TEST_f_f (sin, nan_value, nan_value);
4072 TEST_f_f (sin, M_PI_6l, 0.5);
4073 TEST_f_f (sin, -M_PI_6l, -0.5);
4074 TEST_f_f (sin, M_PI_2l, 1);
4075 TEST_f_f (sin, -M_PI_2l, -1);
4076 TEST_f_f (sin, 0.75L, 0.681638760023334166733241952779893935L);
4079 TEST_f_f (sin, 0.80190127184058835, 0.71867942238767868);
4090 FLOAT sin_res, cos_res;
4093 FUNC(sincos) (0, &sin_res, &cos_res);
4094 if (errno == ENOSYS)
4095 /* Function not implemented. */
4100 /* sincos is treated differently because it returns void. */
4101 TEST_extra (sincos, 0, 0, 1);
4103 TEST_extra (sincos, minus_zero, minus_zero, 1);
4104 TEST_extra (sincos, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
4105 TEST_extra (sincos, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
4106 TEST_extra (sincos, nan_value, nan_value, nan_value);
4108 TEST_extra (sincos, M_PI_2l, 1, 0);
4109 TEST_extra (sincos, M_PI_6l, 0.5, 0.86602540378443864676372317075293616L);
4110 TEST_extra (sincos, M_PI_6l*2.0, 0.86602540378443864676372317075293616L, 0.5);
4111 TEST_extra (sincos, 0.75L, 0.681638760023334166733241952779893935L, 0.731688868873820886311838753000084544L);
4114 TEST_extra (sincos, 0.80190127184058835, 0.71867942238767868, 0.69534156199418473);
4125 if (errno == ENOSYS)
4126 /* Function not implemented. */
4130 TEST_f_f (sinh, 0, 0);
4131 TEST_f_f (sinh, minus_zero, minus_zero);
4134 TEST_f_f (sinh, plus_infty, plus_infty);
4135 TEST_f_f (sinh, minus_infty, minus_infty);
4137 TEST_f_f (sinh, nan_value, nan_value);
4139 TEST_f_f (sinh, 0.75L, 0.822316731935829980703661634446913849L);
4140 TEST_f_f (sinh, 0x8p-32L, 1.86264514923095703232705808926175479e-9L);
4150 if (errno == ENOSYS)
4151 /* Function not implemented. */
4156 TEST_f_f (sqrt, 0, 0);
4157 TEST_f_f (sqrt, nan_value, nan_value);
4158 TEST_f_f (sqrt, plus_infty, plus_infty);
4160 TEST_f_f (sqrt, minus_zero, minus_zero);
4162 /* sqrt (x) == NaN plus invalid exception for x < 0. */
4163 TEST_f_f (sqrt, -1, nan_value, INVALID_EXCEPTION);
4164 TEST_f_f (sqrt, minus_infty, nan_value, INVALID_EXCEPTION);
4165 TEST_f_f (sqrt, nan_value, nan_value);
4167 TEST_f_f (sqrt, 2209, 47);
4168 TEST_f_f (sqrt, 4, 2);
4169 TEST_f_f (sqrt, 2, M_SQRT2l);
4170 TEST_f_f (sqrt, 0.25, 0.5);
4171 TEST_f_f (sqrt, 6642.25, 81.5);
4172 TEST_f_f (sqrt, 15190.5625L, 123.25L);
4173 TEST_f_f (sqrt, 0.75L, 0.866025403784438646763723170752936183L);
4184 if (errno == ENOSYS)
4185 /* Function not implemented. */
4190 TEST_f_f (tan, 0, 0);
4191 TEST_f_f (tan, minus_zero, minus_zero);
4192 TEST_f_f (tan, plus_infty, nan_value, INVALID_EXCEPTION);
4193 TEST_f_f (tan, minus_infty, nan_value, INVALID_EXCEPTION);
4194 TEST_f_f (tan, nan_value, nan_value);
4196 TEST_f_f (tan, M_PI_4l, 1);
4197 TEST_f_f (tan, 0.75L, 0.931596459944072461165202756573936428L);
4207 if (errno == ENOSYS)
4208 /* Function not implemented. */
4213 TEST_f_f (tanh, 0, 0);
4214 TEST_f_f (tanh, minus_zero, minus_zero);
4217 TEST_f_f (tanh, plus_infty, 1);
4218 TEST_f_f (tanh, minus_infty, -1);
4220 TEST_f_f (tanh, nan_value, nan_value);
4222 TEST_f_f (tanh, 0.75L, 0.635148952387287319214434357312496495L);
4223 TEST_f_f (tanh, -0.75L, -0.635148952387287319214434357312496495L);
4225 TEST_f_f (tanh, 1.0L, 0.7615941559557648881194582826047935904L);
4226 TEST_f_f (tanh, -1.0L, -0.7615941559557648881194582826047935904L);
4229 TEST_f_f (tanh, 0x1p-57L, 6.938893903907228377647697925567626953125e-18L);
4239 if (errno == ENOSYS)
4240 /* Function not implemented. */
4242 feclearexcept (FE_ALL_EXCEPT);
4246 TEST_f_f (tgamma, plus_infty, plus_infty);
4247 TEST_f_f (tgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
4248 TEST_f_f (tgamma, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
4249 /* tgamma (x) == NaN plus invalid exception for integer x <= 0. */
4250 TEST_f_f (tgamma, -2, nan_value, INVALID_EXCEPTION);
4251 TEST_f_f (tgamma, minus_infty, nan_value, INVALID_EXCEPTION);
4252 TEST_f_f (tgamma, nan_value, nan_value);
4254 TEST_f_f (tgamma, 0.5, M_SQRT_PIl);
4255 TEST_f_f (tgamma, -0.5, -M_2_SQRT_PIl);
4257 TEST_f_f (tgamma, 1, 1);
4258 TEST_f_f (tgamma, 4, 6);
4260 TEST_f_f (tgamma, 0.7L, 1.29805533264755778568117117915281162L);
4261 TEST_f_f (tgamma, 1.2L, 0.918168742399760610640951655185830401L);
4272 TEST_f_f (trunc, plus_infty, plus_infty);
4273 TEST_f_f (trunc, minus_infty, minus_infty);
4274 TEST_f_f (trunc, nan_value, nan_value);
4276 TEST_f_f (trunc, 0, 0);
4277 TEST_f_f (trunc, minus_zero, minus_zero);
4278 TEST_f_f (trunc, 0.625, 0);
4279 TEST_f_f (trunc, -0.625, minus_zero);
4280 TEST_f_f (trunc, 1, 1);
4281 TEST_f_f (trunc, -1, -1);
4282 TEST_f_f (trunc, 1.625, 1);
4283 TEST_f_f (trunc, -1.625, -1);
4285 TEST_f_f (trunc, 1048580.625L, 1048580L);
4286 TEST_f_f (trunc, -1048580.625L, -1048580L);
4288 TEST_f_f (trunc, 8388610.125L, 8388610.0L);
4289 TEST_f_f (trunc, -8388610.125L, -8388610.0L);
4291 TEST_f_f (trunc, 4294967296.625L, 4294967296.0L);
4292 TEST_f_f (trunc, -4294967296.625L, -4294967296.0L);
4303 FUNC (sincos) (0, &s, &c);
4304 if (errno == ENOSYS)
4305 /* Required function not implemented. */
4308 if (errno == ENOSYS)
4309 /* Function not implemented. */
4312 /* y0 is the Bessel function of the second kind of order 0 */
4315 TEST_f_f (y0, -1.0, minus_infty, INVALID_EXCEPTION);
4316 TEST_f_f (y0, 0.0, minus_infty);
4317 TEST_f_f (y0, nan_value, nan_value);
4318 TEST_f_f (y0, plus_infty, 0);
4320 TEST_f_f (y0, 0.125L, -1.38968062514384052915582277745018693L);
4321 TEST_f_f (y0, 0.75L, -0.137172769385772397522814379396581855L);
4322 TEST_f_f (y0, 1.0, 0.0882569642156769579829267660235151628L);
4323 TEST_f_f (y0, 1.5, 0.382448923797758843955068554978089862L);
4324 TEST_f_f (y0, 2.0, 0.510375672649745119596606592727157873L);
4325 TEST_f_f (y0, 8.0, 0.223521489387566220527323400498620359L);
4326 TEST_f_f (y0, 10.0, 0.0556711672835993914244598774101900481L);
4337 FUNC (sincos) (0, &s, &c);
4338 if (errno == ENOSYS)
4339 /* Required function not implemented. */
4342 if (errno == ENOSYS)
4343 /* Function not implemented. */
4346 /* y1 is the Bessel function of the second kind of order 1 */
4349 TEST_f_f (y1, -1.0, minus_infty, INVALID_EXCEPTION);
4350 TEST_f_f (y1, 0.0, minus_infty);
4351 TEST_f_f (y1, plus_infty, 0);
4352 TEST_f_f (y1, nan_value, nan_value);
4354 TEST_f_f (y1, 0.125L, -5.19993611253477499595928744876579921L);
4355 TEST_f_f (y1, 0.75L, -1.03759455076928541973767132140642198L);
4356 TEST_f_f (y1, 1.0, -0.781212821300288716547150000047964821L);
4357 TEST_f_f (y1, 1.5, -0.412308626973911295952829820633445323L);
4358 TEST_f_f (y1, 2.0, -0.107032431540937546888370772277476637L);
4359 TEST_f_f (y1, 8.0, -0.158060461731247494255555266187483550L);
4360 TEST_f_f (y1, 10.0, 0.249015424206953883923283474663222803L);
4371 FUNC (sincos) (0, &s, &c);
4372 if (errno == ENOSYS)
4373 /* Required function not implemented. */
4376 if (errno == ENOSYS)
4377 /* Function not implemented. */
4380 /* yn is the Bessel function of the second kind of order n */
4383 /* yn (0, x) == y0 (x) */
4384 TEST_ff_f (yn, 0, -1.0, minus_infty, INVALID_EXCEPTION);
4385 TEST_ff_f (yn, 0, 0.0, minus_infty);
4386 TEST_ff_f (yn, 0, nan_value, nan_value);
4387 TEST_ff_f (yn, 0, plus_infty, 0);
4389 TEST_ff_f (yn, 0, 0.125L, -1.38968062514384052915582277745018693L);
4390 TEST_ff_f (yn, 0, 0.75L, -0.137172769385772397522814379396581855L);
4391 TEST_ff_f (yn, 0, 1.0, 0.0882569642156769579829267660235151628L);
4392 TEST_ff_f (yn, 0, 1.5, 0.382448923797758843955068554978089862L);
4393 TEST_ff_f (yn, 0, 2.0, 0.510375672649745119596606592727157873L);
4394 TEST_ff_f (yn, 0, 8.0, 0.223521489387566220527323400498620359L);
4395 TEST_ff_f (yn, 0, 10.0, 0.0556711672835993914244598774101900481L);
4397 /* yn (1, x) == y1 (x) */
4398 TEST_ff_f (yn, 1, -1.0, minus_infty, INVALID_EXCEPTION);
4399 TEST_ff_f (yn, 1, 0.0, minus_infty);
4400 TEST_ff_f (yn, 1, plus_infty, 0);
4401 TEST_ff_f (yn, 1, nan_value, nan_value);
4403 TEST_ff_f (yn, 1, 0.125L, -5.19993611253477499595928744876579921L);
4404 TEST_ff_f (yn, 1, 0.75L, -1.03759455076928541973767132140642198L);
4405 TEST_ff_f (yn, 1, 1.0, -0.781212821300288716547150000047964821L);
4406 TEST_ff_f (yn, 1, 1.5, -0.412308626973911295952829820633445323L);
4407 TEST_ff_f (yn, 1, 2.0, -0.107032431540937546888370772277476637L);
4408 TEST_ff_f (yn, 1, 8.0, -0.158060461731247494255555266187483550L);
4409 TEST_ff_f (yn, 1, 10.0, 0.249015424206953883923283474663222803L);
4412 TEST_ff_f (yn, 3, plus_infty, 0);
4413 TEST_ff_f (yn, 3, nan_value, nan_value);
4415 TEST_ff_f (yn, 3, 0.125L, -2612.69757350066712600220955744091741L);
4416 TEST_ff_f (yn, 3, 0.75L, -12.9877176234475433186319774484809207L);
4417 TEST_ff_f (yn, 3, 1.0, -5.82151760596472884776175706442981440L);
4418 TEST_ff_f (yn, 3, 2.0, -1.12778377684042778608158395773179238L);
4419 TEST_ff_f (yn, 3, 10.0, -0.251362657183837329779204747654240998L);
4422 TEST_ff_f (yn, 10, plus_infty, 0);
4423 TEST_ff_f (yn, 10, nan_value, nan_value);
4425 TEST_ff_f (yn, 10, 0.125L, -127057845771019398.252538486899753195L);
4426 TEST_ff_f (yn, 10, 0.75L, -2133501638.90573424452445412893839236L);
4427 TEST_ff_f (yn, 10, 1.0, -121618014.278689189288130426667971145L);
4428 TEST_ff_f (yn, 10, 2.0, -129184.542208039282635913145923304214L);
4429 TEST_ff_f (yn, 10, 10.0, -0.359814152183402722051986577343560609L);
4437 significand_test (void)
4439 /* significand returns the mantissa of the exponential representation. */
4440 START (significand);
4442 TEST_f_f (significand, 4.0, 1.0);
4443 TEST_f_f (significand, 6.0, 1.5);
4444 TEST_f_f (significand, 8.0, 1.0);
4453 fpstack_test ("start *init*");
4455 nan_value = plus_zero / plus_zero; /* Suppress GCC warning */
4457 minus_zero = FUNC(copysign) (0.0, -1.0);
4458 plus_infty = CHOOSE (HUGE_VALL, HUGE_VAL, HUGE_VALF,
4459 HUGE_VALL, HUGE_VAL, HUGE_VALF);
4460 minus_infty = CHOOSE (-HUGE_VALL, -HUGE_VAL, -HUGE_VALF,
4461 -HUGE_VALL, -HUGE_VAL, -HUGE_VALF);
4462 max_value = CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX,
4463 LDBL_MAX, DBL_MAX, FLT_MAX);
4464 min_value = CHOOSE (LDBL_MIN, DBL_MIN, FLT_MIN,
4465 LDBL_MIN, DBL_MIN, FLT_MIN);
4471 (void) &minus_infty;
4475 /* Clear all exceptions. From now on we must not get random exceptions. */
4476 feclearexcept (FE_ALL_EXCEPT);
4478 /* Test to make sure we start correctly. */
4479 fpstack_test ("end *init*");
4482 /* Definitions of arguments for argp functions. */
4483 static const struct argp_option options[] =
4485 { "verbose", 'v', "NUMBER", 0, "Level of verbosity (0..3)"},
4486 { "ulps-file", 'u', NULL, 0, "Output ulps to file ULPs"},
4487 { "no-max-error", 'f', NULL, 0,
4488 "Don't output maximal errors of functions"},
4489 { "no-points", 'p', NULL, 0,
4490 "Don't output results of functions invocations"},
4491 { "ignore-max-ulp", 'i', "yes/no", 0,
4492 "Ignore given maximal errors"},
4493 { NULL, 0, NULL, 0, NULL }
4496 /* Short description of program. */
4497 static const char doc[] = "Math test suite: " TEST_MSG ;
4499 /* Prototype for option handler. */
4500 static error_t parse_opt (int key, char *arg, struct argp_state *state);
4502 /* Data structure to communicate with argp functions. */
4503 static struct argp argp =
4505 options, parse_opt, NULL, doc,
4509 /* Handle program arguments. */
4511 parse_opt (int key, char *arg, struct argp_state *state)
4516 output_max_error = 0;
4519 if (strcmp (arg, "yes") == 0)
4521 else if (strcmp (arg, "no") == 0)
4532 verbose = (unsigned int) strtoul (optarg, NULL, 0);
4537 return ARGP_ERR_UNKNOWN;
4543 /* function to check our ulp calculation. */
4550 /* This gives one ulp. */
4551 u = FUNC(nextafter) (10, 20);
4552 check_equal (10.0, u, 1, &diff, &ulp);
4553 printf ("One ulp: % .4" PRINTF_NEXPR "\n", ulp);
4555 /* This gives one more ulp. */
4556 u = FUNC(nextafter) (u, 20);
4557 check_equal (10.0, u, 2, &diff, &ulp);
4558 printf ("two ulp: % .4" PRINTF_NEXPR "\n", ulp);
4560 /* And now calculate 100 ulp. */
4561 for (i = 2; i < 100; i++)
4562 u = FUNC(nextafter) (u, 20);
4563 check_equal (10.0, u, 100, &diff, &ulp);
4564 printf ("100 ulp: % .4" PRINTF_NEXPR "\n", ulp);
4569 main (int argc, char **argv)
4576 output_max_error = 1;
4578 /* XXX set to 0 for releases. */
4581 /* Parse and process arguments. */
4582 argp_parse (&argp, argc, argv, 0, &remaining, NULL);
4584 if (remaining != argc)
4586 fprintf (stderr, "wrong number of arguments");
4587 argp_help (&argp, stdout, ARGP_HELP_SEE, program_invocation_short_name);
4588 exit (EXIT_FAILURE);
4593 ulps_file = fopen ("ULPs", "a");
4594 if (ulps_file == NULL)
4596 perror ("can't open file `ULPs' for writing: ");
4609 /* Keep the tests a wee bit ordered (according to ISO C99). */
4610 /* Classification macros: */
4616 /* Trigonometric functions: */
4626 /* Hyperbolic functions: */
4634 /* Exponential and logarithmic functions: */
4651 significand_test ();
4653 /* Power and absolute value functions: */
4660 /* Error and gamma functions: */
4667 /* Nearest integer functions: */
4672 rint_test_tonearest ();
4673 rint_test_towardzero ();
4674 rint_test_downward ();
4675 rint_test_upward ();
4683 /* Remainder functions: */
4688 /* Manipulation functions: */
4693 /* maximum, minimum and positive difference functions */
4698 /* Multiply and add: */
4701 /* Complex functions: */
4726 /* Bessel functions: */
4737 printf ("\nTest suite completed:\n");
4738 printf (" %d test cases plus %d tests for exception flags executed.\n",
4739 noTests, noExcTests);
4741 printf (" %d expected failures occurred.\n", noXFails);
4743 printf (" %d unexpected passes occurred.\n", noXPasses);
4746 printf (" %d errors occurred.\n", noErrors);
4749 printf (" All tests passed successfully.\n");