1 /* Copyright (C) 1997-2002, 2003, 2004, 2005, 2006 Free Software Foundation, Inc.
2 This file is part of the GNU C Library.
3 Contributed by Andreas Jaeger <aj@suse.de>, 1997.
5 The GNU C Library is free software; you can redistribute it and/or
6 modify it under the terms of the GNU Lesser General Public
7 License as published by the Free Software Foundation; either
8 version 2.1 of the License, or (at your option) any later version.
10 The GNU C Library is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 Lesser General Public License for more details.
15 You should have received a copy of the GNU Lesser General Public
16 License along with the GNU C Library; if not, see
17 <http://www.gnu.org/licenses/>. */
19 /* Part of testsuite for libm.
21 This file is processed by a perl script. The resulting file has to
22 be included by a master file that defines:
25 FUNC(function): converts general function name (like cos) to
26 name with correct suffix (e.g. cosl or cosf)
27 MATHCONST(x): like FUNC but for constants (e.g convert 0.0 to 0.0L)
28 FLOAT: floating point type to test
29 - TEST_MSG: informal message to be displayed
30 CHOOSE(Clongdouble,Cdouble,Cfloat,Cinlinelongdouble,Cinlinedouble,Cinlinefloat):
31 chooses one of the parameters as delta for testing
33 PRINTF_EXPR Floating point conversion specification to print a variable
34 of type FLOAT with printf. PRINTF_EXPR just contains
35 the specifier, not the percent and width arguments,
37 PRINTF_XEXPR Like PRINTF_EXPR, but print in hexadecimal format.
38 PRINTF_NEXPR Like PRINTF_EXPR, but print nice. */
40 /* This testsuite has currently tests for:
41 acos, acosh, asin, asinh, atan, atan2, atanh,
42 cbrt, ceil, copysign, cos, cosh, erf, erfc, exp, exp10, exp2, expm1,
43 fabs, fdim, floor, fma, fmax, fmin, fmod, fpclassify,
45 ilogb, isfinite, isinf, isnan, isnormal,
46 isless, islessequal, isgreater, isgreaterequal, islessgreater, isunordered,
48 ldexp, lgamma, log, log10, log1p, log2, logb,
49 modf, nearbyint, nextafter,
50 pow, remainder, remquo, rint, lrint, llrint,
51 round, lround, llround,
52 scalb, scalbn, scalbln, signbit, sin, sincos, sinh, sqrt, tan, tanh, tgamma, trunc,
53 y0, y1, yn, significand
55 and for the following complex math functions:
56 cabs, cacos, cacosh, carg, casin, casinh, catan, catanh,
57 ccos, ccosh, cexp, clog, cpow, cproj, csin, csinh, csqrt, ctan, ctanh.
59 At the moment the following functions aren't tested:
62 Parameter handling is primitive in the moment:
63 --verbose=[0..3] for different levels of output:
65 1: basic report on failed tests (default)
66 2: full report on all tests
67 -v for full output (equals --verbose=3)
68 -u for generation of an ULPs file
73 This suite tests some aspects of the correct implementation of
74 mathematical functions in libm. Some simple, specific parameters
75 are tested for correctness but there's no exhaustive
76 testing. Handling of specific inputs (e.g. infinity, not-a-number)
77 is also tested. Correct handling of exceptions is checked
78 against. These implemented tests should check all cases that are
81 Exception testing: At the moment only divide-by-zero and invalid
82 exceptions are tested. Overflow/underflow and inexact exceptions
83 aren't checked at the moment.
85 NaN values: There exist signalling and quiet NaNs. This implementation
86 only uses quiet NaN as parameter but does not differenciate
87 between the two kinds of NaNs as result.
89 Inline functions: Inlining functions should give an improvement in
90 speed - but not in precission. The inlined functions return
91 reasonable values for a reasonable range of input values. The
92 result is not necessarily correct for all values and exceptions are
93 not correctly raised in all cases. Problematic input and return
94 values are infinity, not-a-number and minus zero. This suite
95 therefore does not check these specific inputs and the exception
96 handling for inlined mathematical functions - just the "reasonable"
99 Beware: The tests might fail for any of the following reasons:
101 - Functions are wrong
102 - Floating Point Unit not working properly
103 - Compiler has errors
105 With e.g. gcc 2.7.2.2 the test for cexp fails because of a compiler error.
108 To Do: All parameter should be numbers that can be represented as
109 exact floating point values. Currently some values cannot be
110 represented exactly and therefore the result is not the expected
111 result. For this we will use 36 digits so that numbers can be
112 represented exactly. */
118 #include "libm-test-ulps.h"
131 /* Possible exceptions */
132 #define NO_EXCEPTION 0x0
133 #define INVALID_EXCEPTION 0x1
134 #define DIVIDE_BY_ZERO_EXCEPTION 0x2
135 /* The next flags signals that those exceptions are allowed but not required. */
136 #define INVALID_EXCEPTION_OK 0x4
137 #define DIVIDE_BY_ZERO_EXCEPTION_OK 0x8
138 #define EXCEPTIONS_OK INVALID_EXCEPTION_OK+DIVIDE_BY_ZERO_EXCEPTION_OK
139 /* Some special test flags, passed togther with exceptions. */
140 #define IGNORE_ZERO_INF_SIGN 0x10
142 /* Various constants (we must supply them precalculated for accuracy). */
143 #define M_PI_6l .52359877559829887307710723054658383L
144 #define M_E2l 7.389056098930650227230427460575008L
145 #define M_E3l 20.085536923187667740928529654581719L
146 #define M_2_SQRT_PIl 3.5449077018110320545963349666822903L /* 2 sqrt (M_PIl) */
147 #define M_SQRT_PIl 1.7724538509055160272981674833411451L /* sqrt (M_PIl) */
148 #define M_LOG_SQRT_PIl 0.57236494292470008707171367567652933L /* log(sqrt(M_PIl)) */
149 #define M_LOG_2_SQRT_PIl 1.265512123484645396488945797134706L /* log(2*sqrt(M_PIl)) */
150 #define M_PI_34l (M_PIl - M_PI_4l) /* 3*pi/4 */
151 #define M_PI_34_LOG10El (M_PIl - M_PI_4l) * M_LOG10El
152 #define M_PI2_LOG10El M_PI_2l * M_LOG10El
153 #define M_PI4_LOG10El M_PI_4l * M_LOG10El
154 #define M_PI_LOG10El M_PIl * M_LOG10El
155 #define M_SQRT_2_2 0.70710678118654752440084436210484903L /* sqrt (2) / 2 */
157 static FILE *ulps_file; /* File to document difference. */
158 static int output_ulps; /* Should ulps printed? */
160 static int noErrors; /* number of errors */
161 static int noTests; /* number of tests (without testing exceptions) */
162 static int noExcTests; /* number of tests for exception flags */
163 static int noXFails; /* number of expected failures. */
164 static int noXPasses; /* number of unexpected passes. */
167 static int output_max_error; /* Should the maximal errors printed? */
168 static int output_points; /* Should the single function results printed? */
169 static int ignore_max_ulp; /* Should we ignore max_ulp? */
171 static FLOAT minus_zero, plus_zero;
172 static FLOAT plus_infty, minus_infty, nan_value, max_value, min_value;
174 static FLOAT max_error, real_max_error, imag_max_error;
177 #define BUILD_COMPLEX(real, imag) \
178 ({ __complex__ FLOAT __retval; \
179 __real__ __retval = (real); \
180 __imag__ __retval = (imag); \
183 #define BUILD_COMPLEX_INT(real, imag) \
184 ({ __complex__ int __retval; \
185 __real__ __retval = (real); \
186 __imag__ __retval = (imag); \
190 #define MANT_DIG CHOOSE ((LDBL_MANT_DIG-1), (DBL_MANT_DIG-1), (FLT_MANT_DIG-1), \
191 (LDBL_MANT_DIG-1), (DBL_MANT_DIG-1), (FLT_MANT_DIG-1))
194 init_max_error (void)
199 feclearexcept (FE_ALL_EXCEPT);
203 set_max_error (FLOAT current, FLOAT *curr_max_error)
205 if (current > *curr_max_error)
206 *curr_max_error = current;
210 /* Should the message print to screen? This depends on the verbose flag,
211 and the test status. */
213 print_screen (int ok, int xfail)
217 || (verbose == 1 && ok == xfail)))
223 /* Should the message print to screen? This depends on the verbose flag,
224 and the test status. */
226 print_screen_max_error (int ok, int xfail)
230 || ((verbose == 1) && (ok == xfail))))
235 /* Update statistic counters. */
237 update_stats (int ok, int xfail)
242 else if (!ok && xfail)
244 else if (!ok && !xfail)
249 print_ulps (const char *test_name, FLOAT ulp)
253 fprintf (ulps_file, "Test \"%s\":\n", test_name);
254 fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
255 CHOOSE("ldouble", "double", "float",
256 "ildouble", "idouble", "ifloat"),
262 print_function_ulps (const char *function_name, FLOAT ulp)
266 fprintf (ulps_file, "Function: \"%s\":\n", function_name);
267 fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
268 CHOOSE("ldouble", "double", "float",
269 "ildouble", "idouble", "ifloat"),
276 print_complex_function_ulps (const char *function_name, FLOAT real_ulp,
283 fprintf (ulps_file, "Function: Real part of \"%s\":\n", function_name);
284 fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
285 CHOOSE("ldouble", "double", "float",
286 "ildouble", "idouble", "ifloat"),
287 FUNC(ceil) (real_ulp));
291 fprintf (ulps_file, "Function: Imaginary part of \"%s\":\n", function_name);
292 fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
293 CHOOSE("ldouble", "double", "float",
294 "ildouble", "idouble", "ifloat"),
295 FUNC(ceil) (imag_ulp));
304 /* Test if Floating-Point stack hasn't changed */
306 fpstack_test (const char *test_name)
309 static int old_stack;
312 __asm__ ("fnstsw" : "=a" (sw));
318 printf ("FP-Stack wrong after test %s (%d, should be %d)\n",
319 test_name, sw, old_stack);
328 print_max_error (const char *func_name, FLOAT allowed, int xfail)
332 if (max_error == 0.0 || (max_error <= allowed && !ignore_max_ulp))
338 print_function_ulps (func_name, max_error);
341 if (print_screen_max_error (ok, xfail))
343 printf ("Maximal error of `%s'\n", func_name);
344 printf (" is : %.0" PRINTF_NEXPR " ulp\n", FUNC(ceil) (max_error));
345 printf (" accepted: %.0" PRINTF_NEXPR " ulp\n", FUNC(ceil) (allowed));
348 update_stats (ok, xfail);
353 print_complex_max_error (const char *func_name, __complex__ FLOAT allowed,
354 __complex__ int xfail)
358 if ((real_max_error == 0 && imag_max_error == 0)
359 || (real_max_error <= __real__ allowed
360 && imag_max_error <= __imag__ allowed
367 print_complex_function_ulps (func_name, real_max_error, imag_max_error);
370 if (print_screen_max_error (ok, xfail))
372 printf ("Maximal error of real part of: %s\n", func_name);
373 printf (" is : %.0" PRINTF_NEXPR " ulp\n",
374 FUNC(ceil) (real_max_error));
375 printf (" accepted: %.0" PRINTF_NEXPR " ulp\n",
376 FUNC(ceil) (__real__ allowed));
377 printf ("Maximal error of imaginary part of: %s\n", func_name);
378 printf (" is : %.0" PRINTF_NEXPR " ulp\n",
379 FUNC(ceil) (imag_max_error));
380 printf (" accepted: %.0" PRINTF_NEXPR " ulp\n",
381 FUNC(ceil) (__imag__ allowed));
384 update_stats (ok, xfail);
388 /* Test whether a given exception was raised. */
390 test_single_exception (const char *test_name,
394 const char *flag_name)
398 if (exception & exc_flag)
400 if (fetestexcept (fe_flag))
402 if (print_screen (1, 0))
403 printf ("Pass: %s: Exception \"%s\" set\n", test_name, flag_name);
408 if (print_screen (0, 0))
409 printf ("Failure: %s: Exception \"%s\" not set\n",
410 test_name, flag_name);
415 if (fetestexcept (fe_flag))
418 if (print_screen (0, 0))
419 printf ("Failure: %s: Exception \"%s\" set\n",
420 test_name, flag_name);
424 if (print_screen (1, 0))
425 printf ("%s: Exception \"%s\" not set\n", test_name,
436 /* Test whether exceptions given by EXCEPTION are raised. Ignore thereby
437 allowed but not required exceptions.
440 test_exceptions (const char *test_name, int exception)
444 if ((exception & DIVIDE_BY_ZERO_EXCEPTION_OK) == 0)
445 test_single_exception (test_name, exception,
446 DIVIDE_BY_ZERO_EXCEPTION, FE_DIVBYZERO,
450 if ((exception & INVALID_EXCEPTION_OK) == 0)
451 test_single_exception (test_name, exception, INVALID_EXCEPTION, FE_INVALID,
452 "Invalid operation");
454 feclearexcept (FE_ALL_EXCEPT);
459 check_float_internal (const char *test_name, FLOAT computed, FLOAT expected,
460 FLOAT max_ulp, int xfail, int exceptions,
461 FLOAT *curr_max_error)
468 test_exceptions (test_name, exceptions);
469 if (isnan (computed) && isnan (expected))
471 else if (isinf (computed) && isinf (expected))
473 /* Test for sign of infinities. */
474 if ((exceptions & IGNORE_ZERO_INF_SIGN) == 0
475 && signbit (computed) != signbit (expected))
478 printf ("infinity has wrong sign.\n");
483 /* Don't calc ulp for NaNs or infinities. */
484 else if (isinf (computed) || isnan (computed) || isinf (expected) || isnan (expected))
488 diff = FUNC(fabs) (computed - expected);
489 /* ilogb (0) isn't allowed. */
491 ulp = diff / FUNC(ldexp) (1.0, - MANT_DIG);
493 ulp = diff / FUNC(ldexp) (1.0, FUNC(ilogb) (expected) - MANT_DIG);
494 set_max_error (ulp, curr_max_error);
496 if ((exceptions & IGNORE_ZERO_INF_SIGN) == 0
497 && computed == 0.0 && expected == 0.0
498 && signbit(computed) != signbit (expected))
500 else if (ulp <= 0.5 || (ulp <= max_ulp && !ignore_max_ulp))
505 print_ulps (test_name, ulp);
509 if (print_screen (ok, xfail))
512 printf ("Failure: ");
513 printf ("Test: %s\n", test_name);
514 printf ("Result:\n");
515 printf (" is: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n",
517 printf (" should be: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n",
521 printf (" difference: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR
523 printf (" ulp : % .4" PRINTF_NEXPR "\n", ulp);
524 printf (" max.ulp : % .4" PRINTF_NEXPR "\n", max_ulp);
527 update_stats (ok, xfail);
529 fpstack_test (test_name);
534 check_float (const char *test_name, FLOAT computed, FLOAT expected,
535 FLOAT max_ulp, int xfail, int exceptions)
537 check_float_internal (test_name, computed, expected, max_ulp, xfail,
538 exceptions, &max_error);
543 check_complex (const char *test_name, __complex__ FLOAT computed,
544 __complex__ FLOAT expected,
545 __complex__ FLOAT max_ulp, __complex__ int xfail,
548 FLOAT part_comp, part_exp, part_max_ulp;
552 sprintf (str, "Real part of: %s", test_name);
553 part_comp = __real__ computed;
554 part_exp = __real__ expected;
555 part_max_ulp = __real__ max_ulp;
556 part_xfail = __real__ xfail;
558 check_float_internal (str, part_comp, part_exp, part_max_ulp, part_xfail,
559 exception, &real_max_error);
561 sprintf (str, "Imaginary part of: %s", test_name);
562 part_comp = __imag__ computed;
563 part_exp = __imag__ expected;
564 part_max_ulp = __imag__ max_ulp;
565 part_xfail = __imag__ xfail;
567 /* Don't check again for exceptions, just pass through the
568 zero/inf sign test. */
569 check_float_internal (str, part_comp, part_exp, part_max_ulp, part_xfail,
570 exception & IGNORE_ZERO_INF_SIGN,
575 /* Check that computed and expected values are equal (int values). */
577 check_int (const char *test_name, int computed, int expected, int max_ulp,
578 int xfail, int exceptions)
580 int diff = computed - expected;
583 test_exceptions (test_name, exceptions);
585 if (abs (diff) <= max_ulp)
589 print_ulps (test_name, diff);
591 if (print_screen (ok, xfail))
594 printf ("Failure: ");
595 printf ("Test: %s\n", test_name);
596 printf ("Result:\n");
597 printf (" is: %d\n", computed);
598 printf (" should be: %d\n", expected);
601 update_stats (ok, xfail);
602 fpstack_test (test_name);
606 /* Check that computed and expected values are equal (long int values). */
608 check_long (const char *test_name, long int computed, long int expected,
609 long int max_ulp, int xfail, int exceptions)
611 long int diff = computed - expected;
614 test_exceptions (test_name, exceptions);
616 if (labs (diff) <= max_ulp)
620 print_ulps (test_name, diff);
622 if (print_screen (ok, xfail))
625 printf ("Failure: ");
626 printf ("Test: %s\n", test_name);
627 printf ("Result:\n");
628 printf (" is: %ld\n", computed);
629 printf (" should be: %ld\n", expected);
632 update_stats (ok, xfail);
633 fpstack_test (test_name);
637 /* Check that computed value is true/false. */
639 check_bool (const char *test_name, int computed, int expected,
640 long int max_ulp, int xfail, int exceptions)
644 test_exceptions (test_name, exceptions);
646 if ((computed == 0) == (expected == 0))
649 if (print_screen (ok, xfail))
652 printf ("Failure: ");
653 printf ("Test: %s\n", test_name);
654 printf ("Result:\n");
655 printf (" is: %d\n", computed);
656 printf (" should be: %d\n", expected);
659 update_stats (ok, xfail);
660 fpstack_test (test_name);
664 /* check that computed and expected values are equal (long int values) */
666 check_longlong (const char *test_name, long long int computed,
667 long long int expected,
668 long long int max_ulp, int xfail,
671 long long int diff = computed - expected;
674 test_exceptions (test_name, exceptions);
676 if (llabs (diff) <= max_ulp)
680 print_ulps (test_name, diff);
682 if (print_screen (ok, xfail))
686 printf ("Test: %s\n", test_name);
687 printf ("Result:\n");
688 printf (" is: %lld\n", computed);
689 printf (" should be: %lld\n", expected);
692 update_stats (ok, xfail);
693 fpstack_test (test_name);
698 /* This is to prevent messages from the SVID libm emulation. */
700 matherr (struct exception *x __attribute__ ((unused)))
706 /****************************************************************************
707 Tests for single functions of libm.
708 Please keep them alphabetically sorted!
709 ****************************************************************************/
717 /* Function not implemented. */
722 TEST_f_f (acos, plus_infty, nan_value, INVALID_EXCEPTION);
723 TEST_f_f (acos, minus_infty, nan_value, INVALID_EXCEPTION);
724 TEST_f_f (acos, nan_value, nan_value);
727 TEST_f_f (acos, 1.125L, nan_value, INVALID_EXCEPTION);
728 TEST_f_f (acos, -1.125L, nan_value, INVALID_EXCEPTION);
730 TEST_f_f (acos, 0, M_PI_2l);
731 TEST_f_f (acos, minus_zero, M_PI_2l);
732 TEST_f_f (acos, 1, 0);
733 TEST_f_f (acos, -1, M_PIl);
734 TEST_f_f (acos, 0.5, M_PI_6l*2.0);
735 TEST_f_f (acos, -0.5, M_PI_6l*4.0);
736 TEST_f_f (acos, 0.75L, 0.722734247813415611178377352641333362L);
737 TEST_f_f (acos, 2e-17L, 1.57079632679489659923132169163975144L);
738 TEST_f_f (acos, 0.0625L, 1.50825556499840522843072005474337068L);
748 /* Function not implemented. */
753 TEST_f_f (acosh, plus_infty, plus_infty);
754 TEST_f_f (acosh, minus_infty, nan_value, INVALID_EXCEPTION);
757 TEST_f_f (acosh, -1.125L, nan_value, INVALID_EXCEPTION);
759 TEST_f_f (acosh, 1, 0);
760 TEST_f_f (acosh, 7, 2.63391579384963341725009269461593689L);
771 /* Function not implemented. */
776 TEST_f_f (asin, plus_infty, nan_value, INVALID_EXCEPTION);
777 TEST_f_f (asin, minus_infty, nan_value, INVALID_EXCEPTION);
778 TEST_f_f (asin, nan_value, nan_value);
780 /* asin x == NaN plus invalid exception for |x| > 1. */
781 TEST_f_f (asin, 1.125L, nan_value, INVALID_EXCEPTION);
782 TEST_f_f (asin, -1.125L, nan_value, INVALID_EXCEPTION);
784 TEST_f_f (asin, 0, 0);
785 TEST_f_f (asin, minus_zero, minus_zero);
786 TEST_f_f (asin, 0.5, M_PI_6l);
787 TEST_f_f (asin, -0.5, -M_PI_6l);
788 TEST_f_f (asin, 1.0, M_PI_2l);
789 TEST_f_f (asin, -1.0, -M_PI_2l);
790 TEST_f_f (asin, 0.75L, 0.848062078981481008052944338998418080L);
801 /* Function not implemented. */
806 TEST_f_f (asinh, 0, 0);
807 TEST_f_f (asinh, minus_zero, minus_zero);
809 TEST_f_f (asinh, plus_infty, plus_infty);
810 TEST_f_f (asinh, minus_infty, minus_infty);
812 TEST_f_f (asinh, nan_value, nan_value);
813 TEST_f_f (asinh, 0.75L, 0.693147180559945309417232121458176568L);
824 /* Function not implemented. */
829 TEST_f_f (atan, 0, 0);
830 TEST_f_f (atan, minus_zero, minus_zero);
832 TEST_f_f (atan, plus_infty, M_PI_2l);
833 TEST_f_f (atan, minus_infty, -M_PI_2l);
834 TEST_f_f (atan, nan_value, nan_value);
836 TEST_f_f (atan, 1, M_PI_4l);
837 TEST_f_f (atan, -1, -M_PI_4l);
839 TEST_f_f (atan, 0.75L, 0.643501108793284386802809228717322638L);
852 /* Function not implemented. */
858 TEST_f_f (atanh, 0, 0);
859 TEST_f_f (atanh, minus_zero, minus_zero);
861 TEST_f_f (atanh, 1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
862 TEST_f_f (atanh, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
863 TEST_f_f (atanh, nan_value, nan_value);
865 /* atanh (x) == NaN plus invalid exception if |x| > 1. */
866 TEST_f_f (atanh, 1.125L, nan_value, INVALID_EXCEPTION);
867 TEST_f_f (atanh, -1.125L, nan_value, INVALID_EXCEPTION);
869 TEST_f_f (atanh, 0.75L, 0.972955074527656652552676371721589865L);
880 /* Function not implemented. */
885 /* atan2 (0,x) == 0 for x > 0. */
886 TEST_ff_f (atan2, 0, 1, 0);
888 /* atan2 (-0,x) == -0 for x > 0. */
889 TEST_ff_f (atan2, minus_zero, 1, minus_zero);
891 TEST_ff_f (atan2, 0, 0, 0);
892 TEST_ff_f (atan2, minus_zero, 0, minus_zero);
894 /* atan2 (+0,x) == +pi for x < 0. */
895 TEST_ff_f (atan2, 0, -1, M_PIl);
897 /* atan2 (-0,x) == -pi for x < 0. */
898 TEST_ff_f (atan2, minus_zero, -1, -M_PIl);
900 TEST_ff_f (atan2, 0, minus_zero, M_PIl);
901 TEST_ff_f (atan2, minus_zero, minus_zero, -M_PIl);
903 /* atan2 (y,+0) == pi/2 for y > 0. */
904 TEST_ff_f (atan2, 1, 0, M_PI_2l);
906 /* atan2 (y,-0) == pi/2 for y > 0. */
907 TEST_ff_f (atan2, 1, minus_zero, M_PI_2l);
909 /* atan2 (y,+0) == -pi/2 for y < 0. */
910 TEST_ff_f (atan2, -1, 0, -M_PI_2l);
912 /* atan2 (y,-0) == -pi/2 for y < 0. */
913 TEST_ff_f (atan2, -1, minus_zero, -M_PI_2l);
915 /* atan2 (y,inf) == +0 for finite y > 0. */
916 TEST_ff_f (atan2, 1, plus_infty, 0);
918 /* atan2 (y,inf) == -0 for finite y < 0. */
919 TEST_ff_f (atan2, -1, plus_infty, minus_zero);
921 /* atan2(+inf, x) == pi/2 for finite x. */
922 TEST_ff_f (atan2, plus_infty, -1, M_PI_2l);
924 /* atan2(-inf, x) == -pi/2 for finite x. */
925 TEST_ff_f (atan2, minus_infty, 1, -M_PI_2l);
927 /* atan2 (y,-inf) == +pi for finite y > 0. */
928 TEST_ff_f (atan2, 1, minus_infty, M_PIl);
930 /* atan2 (y,-inf) == -pi for finite y < 0. */
931 TEST_ff_f (atan2, -1, minus_infty, -M_PIl);
933 TEST_ff_f (atan2, plus_infty, plus_infty, M_PI_4l);
934 TEST_ff_f (atan2, minus_infty, plus_infty, -M_PI_4l);
935 TEST_ff_f (atan2, plus_infty, minus_infty, M_PI_34l);
936 TEST_ff_f (atan2, minus_infty, minus_infty, -M_PI_34l);
937 TEST_ff_f (atan2, nan_value, nan_value, nan_value);
939 TEST_ff_f (atan2, 0.75L, 1, 0.643501108793284386802809228717322638L);
940 TEST_ff_f (atan2, -0.75L, 1.0L, -0.643501108793284386802809228717322638L);
941 TEST_ff_f (atan2, 0.75L, -1.0L, 2.49809154479650885165983415456218025L);
942 TEST_ff_f (atan2, -0.75L, -1.0L, -2.49809154479650885165983415456218025L);
943 TEST_ff_f (atan2, 0.390625L, .00029L, 1.57005392693128974780151246612928941L);
944 TEST_ff_f (atan2, 1.390625L, 0.9296875L, 0.981498387184244311516296577615519772L);
946 TEST_ff_f (atan2, -0.00756827042671106339L, -.001792735857538728036L, -1.80338464113663849327153994379639112L);
955 FUNC(cabs) (BUILD_COMPLEX (0.7L, 12.4L));
957 /* Function not implemented. */
962 /* cabs (x + iy) is specified as hypot (x,y) */
964 /* cabs (+inf + i x) == +inf. */
965 TEST_c_f (cabs, plus_infty, 1.0, plus_infty);
966 /* cabs (-inf + i x) == +inf. */
967 TEST_c_f (cabs, minus_infty, 1.0, plus_infty);
969 TEST_c_f (cabs, minus_infty, nan_value, plus_infty);
970 TEST_c_f (cabs, minus_infty, nan_value, plus_infty);
972 TEST_c_f (cabs, nan_value, nan_value, nan_value);
974 /* cabs (x,y) == cabs (y,x). */
975 TEST_c_f (cabs, 0.75L, 12.390625L, 12.4133028598606664302388810868156657L);
976 /* cabs (x,y) == cabs (-x,y). */
977 TEST_c_f (cabs, -12.390625L, 0.75L, 12.4133028598606664302388810868156657L);
978 /* cabs (x,y) == cabs (-y,x). */
979 TEST_c_f (cabs, -0.75L, 12.390625L, 12.4133028598606664302388810868156657L);
980 /* cabs (x,y) == cabs (-x,-y). */
981 TEST_c_f (cabs, -12.390625L, -0.75L, 12.4133028598606664302388810868156657L);
982 /* cabs (x,y) == cabs (-y,-x). */
983 TEST_c_f (cabs, -0.75L, -12.390625L, 12.4133028598606664302388810868156657L);
984 /* cabs (x,0) == fabs (x). */
985 TEST_c_f (cabs, -0.75L, 0, 0.75L);
986 TEST_c_f (cabs, 0.75L, 0, 0.75L);
987 TEST_c_f (cabs, -1.0L, 0, 1.0L);
988 TEST_c_f (cabs, 1.0L, 0, 1.0L);
989 TEST_c_f (cabs, -5.7e7L, 0, 5.7e7L);
990 TEST_c_f (cabs, 5.7e7L, 0, 5.7e7L);
992 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);
1459 if (errno == ENOSYS)
1460 /* Function not implemented. */
1465 TEST_f_f (cbrt, 0.0, 0.0);
1466 TEST_f_f (cbrt, minus_zero, minus_zero);
1468 TEST_f_f (cbrt, plus_infty, plus_infty);
1469 TEST_f_f (cbrt, minus_infty, minus_infty);
1470 TEST_f_f (cbrt, nan_value, nan_value);
1472 TEST_f_f (cbrt, -0.001L, -0.1L);
1473 TEST_f_f (cbrt, 8, 2);
1474 TEST_f_f (cbrt, -27.0, -3.0);
1475 TEST_f_f (cbrt, 0.9921875L, 0.997389022060725270579075195353955217L);
1476 TEST_f_f (cbrt, 0.75L, 0.908560296416069829445605878163630251L);
1487 FUNC(ccos) (BUILD_COMPLEX (0, 0));
1488 if (errno == ENOSYS)
1489 /* Function not implemented. */
1494 TEST_c_c (ccos, 0.0, 0.0, 1.0, minus_zero);
1495 TEST_c_c (ccos, minus_zero, 0.0, 1.0, 0.0);
1496 TEST_c_c (ccos, 0.0, minus_zero, 1.0, 0.0);
1497 TEST_c_c (ccos, minus_zero, minus_zero, 1.0, minus_zero);
1499 TEST_c_c (ccos, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1500 TEST_c_c (ccos, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1501 TEST_c_c (ccos, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1502 TEST_c_c (ccos, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1504 TEST_c_c (ccos, 0.0, plus_infty, plus_infty, minus_zero);
1505 TEST_c_c (ccos, 0.0, minus_infty, plus_infty, 0.0);
1506 TEST_c_c (ccos, minus_zero, plus_infty, plus_infty, 0.0);
1507 TEST_c_c (ccos, minus_zero, minus_infty, plus_infty, minus_zero);
1509 TEST_c_c (ccos, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1510 TEST_c_c (ccos, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1511 TEST_c_c (ccos, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1512 TEST_c_c (ccos, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1514 TEST_c_c (ccos, 4.625, plus_infty, minus_infty, plus_infty);
1515 TEST_c_c (ccos, 4.625, minus_infty, minus_infty, minus_infty);
1516 TEST_c_c (ccos, -4.625, plus_infty, minus_infty, minus_infty);
1517 TEST_c_c (ccos, -4.625, minus_infty, minus_infty, plus_infty);
1519 TEST_c_c (ccos, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
1520 TEST_c_c (ccos, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
1521 TEST_c_c (ccos, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
1522 TEST_c_c (ccos, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
1524 TEST_c_c (ccos, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1525 TEST_c_c (ccos, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1527 TEST_c_c (ccos, nan_value, plus_infty, plus_infty, nan_value);
1528 TEST_c_c (ccos, nan_value, minus_infty, plus_infty, nan_value);
1530 TEST_c_c (ccos, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1531 TEST_c_c (ccos, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1533 TEST_c_c (ccos, 0.0, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1534 TEST_c_c (ccos, minus_zero, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1536 TEST_c_c (ccos, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1537 TEST_c_c (ccos, -10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1539 TEST_c_c (ccos, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1540 TEST_c_c (ccos, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1542 TEST_c_c (ccos, nan_value, nan_value, nan_value, nan_value);
1544 TEST_c_c (ccos, 0.75L, 1.25L, 1.38173873063425888530729933139078645L, -1.09193013555397466170919531722024128L);
1545 TEST_c_c (ccos, -2, -3, -4.18962569096880723013255501961597373L, -9.10922789375533659797919726277886212L);
1547 END (ccos, complex);
1555 FUNC(ccosh) (BUILD_COMPLEX (0.7L, 1.2L));
1556 if (errno == ENOSYS)
1557 /* Function not implemented. */
1562 TEST_c_c (ccosh, 0.0, 0.0, 1.0, 0.0);
1563 TEST_c_c (ccosh, minus_zero, 0.0, 1.0, minus_zero);
1564 TEST_c_c (ccosh, 0.0, minus_zero, 1.0, minus_zero);
1565 TEST_c_c (ccosh, minus_zero, minus_zero, 1.0, 0.0);
1567 TEST_c_c (ccosh, 0.0, plus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1568 TEST_c_c (ccosh, minus_zero, plus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1569 TEST_c_c (ccosh, 0.0, minus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1570 TEST_c_c (ccosh, minus_zero, minus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1572 TEST_c_c (ccosh, plus_infty, 0.0, plus_infty, 0.0);
1573 TEST_c_c (ccosh, minus_infty, 0.0, plus_infty, minus_zero);
1574 TEST_c_c (ccosh, plus_infty, minus_zero, plus_infty, minus_zero);
1575 TEST_c_c (ccosh, minus_infty, minus_zero, plus_infty, 0.0);
1577 TEST_c_c (ccosh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1578 TEST_c_c (ccosh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1579 TEST_c_c (ccosh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1580 TEST_c_c (ccosh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
1582 TEST_c_c (ccosh, plus_infty, 4.625, minus_infty, minus_infty);
1583 TEST_c_c (ccosh, minus_infty, 4.625, minus_infty, plus_infty);
1584 TEST_c_c (ccosh, plus_infty, -4.625, minus_infty, plus_infty);
1585 TEST_c_c (ccosh, minus_infty, -4.625, minus_infty, minus_infty);
1587 TEST_c_c (ccosh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1588 TEST_c_c (ccosh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1589 TEST_c_c (ccosh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1590 TEST_c_c (ccosh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1592 TEST_c_c (ccosh, 0.0, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1593 TEST_c_c (ccosh, minus_zero, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1595 TEST_c_c (ccosh, plus_infty, nan_value, plus_infty, nan_value);
1596 TEST_c_c (ccosh, minus_infty, nan_value, plus_infty, nan_value);
1598 TEST_c_c (ccosh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1599 TEST_c_c (ccosh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1601 TEST_c_c (ccosh, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1602 TEST_c_c (ccosh, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
1604 TEST_c_c (ccosh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1605 TEST_c_c (ccosh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1607 TEST_c_c (ccosh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1608 TEST_c_c (ccosh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1610 TEST_c_c (ccosh, nan_value, nan_value, nan_value, nan_value);
1612 TEST_c_c (ccosh, 0.75L, 1.25L, 0.408242591877968807788852146397499084L, 0.780365930845853240391326216300863152L);
1614 TEST_c_c (ccosh, -2, -3, -3.72454550491532256547397070325597253L, 0.511822569987384608834463849801875634L);
1616 END (ccosh, complex);
1626 TEST_f_f (ceil, 0.0, 0.0);
1627 TEST_f_f (ceil, minus_zero, minus_zero);
1628 TEST_f_f (ceil, plus_infty, plus_infty);
1629 TEST_f_f (ceil, minus_infty, minus_infty);
1630 TEST_f_f (ceil, nan_value, nan_value);
1632 TEST_f_f (ceil, M_PIl, 4.0);
1633 TEST_f_f (ceil, -M_PIl, -3.0);
1634 TEST_f_f (ceil, 0.25, 1.0);
1635 TEST_f_f (ceil, -0.25, minus_zero);
1638 /* The result can only be represented in long double. */
1639 TEST_f_f (ceil, 4503599627370495.5L, 4503599627370496.0L);
1640 TEST_f_f (ceil, 4503599627370496.25L, 4503599627370497.0L);
1641 TEST_f_f (ceil, 4503599627370496.5L, 4503599627370497.0L);
1642 TEST_f_f (ceil, 4503599627370496.75L, 4503599627370497.0L);
1643 TEST_f_f (ceil, 4503599627370497.5L, 4503599627370498.0L);
1645 TEST_f_f (ceil, -4503599627370495.5L, -4503599627370495.0L);
1646 TEST_f_f (ceil, -4503599627370496.25L, -4503599627370496.0L);
1647 TEST_f_f (ceil, -4503599627370496.5L, -4503599627370496.0L);
1648 TEST_f_f (ceil, -4503599627370496.75L, -4503599627370496.0L);
1649 TEST_f_f (ceil, -4503599627370497.5L, -4503599627370497.0L);
1651 TEST_f_f (ceil, 9007199254740991.5L, 9007199254740992.0L);
1652 TEST_f_f (ceil, 9007199254740992.25L, 9007199254740993.0L);
1653 TEST_f_f (ceil, 9007199254740992.5L, 9007199254740993.0L);
1654 TEST_f_f (ceil, 9007199254740992.75L, 9007199254740993.0L);
1655 TEST_f_f (ceil, 9007199254740993.5L, 9007199254740994.0L);
1657 TEST_f_f (ceil, -9007199254740991.5L, -9007199254740991.0L);
1658 TEST_f_f (ceil, -9007199254740992.25L, -9007199254740992.0L);
1659 TEST_f_f (ceil, -9007199254740992.5L, -9007199254740992.0L);
1660 TEST_f_f (ceil, -9007199254740992.75L, -9007199254740992.0L);
1661 TEST_f_f (ceil, -9007199254740993.5L, -9007199254740993.0L);
1663 TEST_f_f (ceil, 72057594037927935.5L, 72057594037927936.0L);
1664 TEST_f_f (ceil, 72057594037927936.25L, 72057594037927937.0L);
1665 TEST_f_f (ceil, 72057594037927936.5L, 72057594037927937.0L);
1666 TEST_f_f (ceil, 72057594037927936.75L, 72057594037927937.0L);
1667 TEST_f_f (ceil, 72057594037927937.5L, 72057594037927938.0L);
1669 TEST_f_f (ceil, -72057594037927935.5L, -72057594037927935.0L);
1670 TEST_f_f (ceil, -72057594037927936.25L, -72057594037927936.0L);
1671 TEST_f_f (ceil, -72057594037927936.5L, -72057594037927936.0L);
1672 TEST_f_f (ceil, -72057594037927936.75L, -72057594037927936.0L);
1673 TEST_f_f (ceil, -72057594037927937.5L, -72057594037927937.0L);
1675 TEST_f_f (ceil, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
1676 TEST_f_f (ceil, 10141204801825835211973625643008.25L, 10141204801825835211973625643009.0L);
1677 TEST_f_f (ceil, 10141204801825835211973625643008.5L, 10141204801825835211973625643009.0L);
1678 TEST_f_f (ceil, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
1679 TEST_f_f (ceil, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
1691 FUNC(cexp) (BUILD_COMPLEX (0, 0));
1692 if (errno == ENOSYS)
1693 /* Function not implemented. */
1698 TEST_c_c (cexp, plus_zero, plus_zero, 1, 0.0);
1699 TEST_c_c (cexp, minus_zero, plus_zero, 1, 0.0);
1700 TEST_c_c (cexp, plus_zero, minus_zero, 1, minus_zero);
1701 TEST_c_c (cexp, minus_zero, minus_zero, 1, minus_zero);
1703 TEST_c_c (cexp, plus_infty, plus_zero, plus_infty, 0.0);
1704 TEST_c_c (cexp, plus_infty, minus_zero, plus_infty, minus_zero);
1706 TEST_c_c (cexp, minus_infty, plus_zero, 0.0, 0.0);
1707 TEST_c_c (cexp, minus_infty, minus_zero, 0.0, minus_zero);
1709 TEST_c_c (cexp, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1710 TEST_c_c (cexp, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1712 TEST_c_c (cexp, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1713 TEST_c_c (cexp, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1715 TEST_c_c (cexp, 100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1716 TEST_c_c (cexp, -100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1718 TEST_c_c (cexp, 100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1719 TEST_c_c (cexp, -100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
1721 TEST_c_c (cexp, minus_infty, 2.0, minus_zero, 0.0);
1722 TEST_c_c (cexp, minus_infty, 4.0, minus_zero, minus_zero);
1723 TEST_c_c (cexp, plus_infty, 2.0, minus_infty, plus_infty);
1724 TEST_c_c (cexp, plus_infty, 4.0, minus_infty, minus_infty);
1726 TEST_c_c (cexp, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1727 TEST_c_c (cexp, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
1729 TEST_c_c (cexp, minus_infty, plus_infty, 0.0, 0.0, IGNORE_ZERO_INF_SIGN);
1730 TEST_c_c (cexp, minus_infty, minus_infty, 0.0, minus_zero, IGNORE_ZERO_INF_SIGN);
1732 TEST_c_c (cexp, minus_infty, nan_value, 0, 0, IGNORE_ZERO_INF_SIGN);
1734 TEST_c_c (cexp, plus_infty, nan_value, plus_infty, nan_value);
1736 TEST_c_c (cexp, nan_value, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1737 TEST_c_c (cexp, nan_value, 1.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1739 TEST_c_c (cexp, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
1740 TEST_c_c (cexp, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1741 TEST_c_c (cexp, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1742 TEST_c_c (cexp, nan_value, nan_value, nan_value, nan_value);
1744 TEST_c_c (cexp, 0.75L, 1.25L, 0.667537446429131586942201977015932112L, 2.00900045494094876258347228145863909L);
1745 TEST_c_c (cexp, -2.0, -3.0, -0.13398091492954261346140525546115575L, -0.019098516261135196432576240858800925L);
1747 END (cexp, complex);
1755 TEST_c_f (cimag, 1.0, 0.0, 0.0);
1756 TEST_c_f (cimag, 1.0, minus_zero, minus_zero);
1757 TEST_c_f (cimag, 1.0, nan_value, nan_value);
1758 TEST_c_f (cimag, nan_value, nan_value, nan_value);
1759 TEST_c_f (cimag, 1.0, plus_infty, plus_infty);
1760 TEST_c_f (cimag, 1.0, minus_infty, minus_infty);
1761 TEST_c_f (cimag, 2.0, 3.0, 3.0);
1770 FUNC(clog) (BUILD_COMPLEX (-2, -3));
1771 if (errno == ENOSYS)
1772 /* Function not implemented. */
1777 TEST_c_c (clog, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1778 TEST_c_c (clog, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1780 TEST_c_c (clog, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION);
1781 TEST_c_c (clog, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION);
1783 TEST_c_c (clog, minus_infty, plus_infty, plus_infty, M_PI_34l);
1784 TEST_c_c (clog, minus_infty, minus_infty, plus_infty, -M_PI_34l);
1786 TEST_c_c (clog, plus_infty, plus_infty, plus_infty, M_PI_4l);
1787 TEST_c_c (clog, plus_infty, minus_infty, plus_infty, -M_PI_4l);
1789 TEST_c_c (clog, 0, plus_infty, plus_infty, M_PI_2l);
1790 TEST_c_c (clog, 3, plus_infty, plus_infty, M_PI_2l);
1791 TEST_c_c (clog, minus_zero, plus_infty, plus_infty, M_PI_2l);
1792 TEST_c_c (clog, -3, plus_infty, plus_infty, M_PI_2l);
1793 TEST_c_c (clog, 0, minus_infty, plus_infty, -M_PI_2l);
1794 TEST_c_c (clog, 3, minus_infty, plus_infty, -M_PI_2l);
1795 TEST_c_c (clog, minus_zero, minus_infty, plus_infty, -M_PI_2l);
1796 TEST_c_c (clog, -3, minus_infty, plus_infty, -M_PI_2l);
1798 TEST_c_c (clog, minus_infty, 0, plus_infty, M_PIl);
1799 TEST_c_c (clog, minus_infty, 1, plus_infty, M_PIl);
1800 TEST_c_c (clog, minus_infty, minus_zero, plus_infty, -M_PIl);
1801 TEST_c_c (clog, minus_infty, -1, plus_infty, -M_PIl);
1803 TEST_c_c (clog, plus_infty, 0, plus_infty, 0.0);
1804 TEST_c_c (clog, plus_infty, 1, plus_infty, 0.0);
1805 TEST_c_c (clog, plus_infty, minus_zero, plus_infty, minus_zero);
1806 TEST_c_c (clog, plus_infty, -1, plus_infty, minus_zero);
1808 TEST_c_c (clog, plus_infty, nan_value, plus_infty, nan_value);
1809 TEST_c_c (clog, minus_infty, nan_value, plus_infty, nan_value);
1811 TEST_c_c (clog, nan_value, plus_infty, plus_infty, nan_value);
1812 TEST_c_c (clog, nan_value, minus_infty, plus_infty, nan_value);
1814 TEST_c_c (clog, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1815 TEST_c_c (clog, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1816 TEST_c_c (clog, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1817 TEST_c_c (clog, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1819 TEST_c_c (clog, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1820 TEST_c_c (clog, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1821 TEST_c_c (clog, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
1822 TEST_c_c (clog, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1824 TEST_c_c (clog, nan_value, nan_value, nan_value, nan_value);
1826 TEST_c_c (clog, 0.75L, 1.25L, 0.376885901188190075998919126749298416L, 1.03037682652431246378774332703115153L);
1827 TEST_c_c (clog, -2, -3, 1.2824746787307683680267437207826593L, -2.1587989303424641704769327722648368L);
1829 END (clog, complex);
1837 FUNC(clog10) (BUILD_COMPLEX (0.7L, 1.2L));
1838 if (errno == ENOSYS)
1839 /* Function not implemented. */
1844 TEST_c_c (clog10, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1845 TEST_c_c (clog10, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION);
1847 TEST_c_c (clog10, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION);
1848 TEST_c_c (clog10, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION);
1850 TEST_c_c (clog10, minus_infty, plus_infty, plus_infty, M_PI_34_LOG10El);
1852 TEST_c_c (clog10, plus_infty, plus_infty, plus_infty, M_PI4_LOG10El);
1853 TEST_c_c (clog10, plus_infty, minus_infty, plus_infty, -M_PI4_LOG10El);
1855 TEST_c_c (clog10, 0, plus_infty, plus_infty, M_PI2_LOG10El);
1856 TEST_c_c (clog10, 3, plus_infty, plus_infty, M_PI2_LOG10El);
1857 TEST_c_c (clog10, minus_zero, plus_infty, plus_infty, M_PI2_LOG10El);
1858 TEST_c_c (clog10, -3, plus_infty, plus_infty, M_PI2_LOG10El);
1859 TEST_c_c (clog10, 0, minus_infty, plus_infty, -M_PI2_LOG10El);
1860 TEST_c_c (clog10, 3, minus_infty, plus_infty, -M_PI2_LOG10El);
1861 TEST_c_c (clog10, minus_zero, minus_infty, plus_infty, -M_PI2_LOG10El);
1862 TEST_c_c (clog10, -3, minus_infty, plus_infty, -M_PI2_LOG10El);
1864 TEST_c_c (clog10, minus_infty, 0, plus_infty, M_PI_LOG10El);
1865 TEST_c_c (clog10, minus_infty, 1, plus_infty, M_PI_LOG10El);
1866 TEST_c_c (clog10, minus_infty, minus_zero, plus_infty, -M_PI_LOG10El);
1867 TEST_c_c (clog10, minus_infty, -1, plus_infty, -M_PI_LOG10El);
1869 TEST_c_c (clog10, plus_infty, 0, plus_infty, 0.0);
1870 TEST_c_c (clog10, plus_infty, 1, plus_infty, 0.0);
1871 TEST_c_c (clog10, plus_infty, minus_zero, plus_infty, minus_zero);
1872 TEST_c_c (clog10, plus_infty, -1, plus_infty, minus_zero);
1874 TEST_c_c (clog10, plus_infty, nan_value, plus_infty, nan_value);
1875 TEST_c_c (clog10, minus_infty, nan_value, plus_infty, nan_value);
1877 TEST_c_c (clog10, nan_value, plus_infty, plus_infty, nan_value);
1878 TEST_c_c (clog10, nan_value, minus_infty, plus_infty, nan_value);
1880 TEST_c_c (clog10, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1881 TEST_c_c (clog10, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1882 TEST_c_c (clog10, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1883 TEST_c_c (clog10, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
1885 TEST_c_c (clog10, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
1886 TEST_c_c (clog10, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1887 TEST_c_c (clog10, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
1888 TEST_c_c (clog10, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
1890 TEST_c_c (clog10, nan_value, nan_value, nan_value, nan_value);
1892 TEST_c_c (clog10, 0.75L, 1.25L, 0.163679467193165171449476605077428975L, 0.447486970040493067069984724340855636L);
1893 TEST_c_c (clog10, -2, -3, 0.556971676153418384603252578971164214L, -0.937554462986374708541507952140189646L);
1895 END (clog10, complex);
1905 TEST_c_c (conj, 0.0, 0.0, 0.0, minus_zero);
1906 TEST_c_c (conj, 0.0, minus_zero, 0.0, 0.0);
1907 TEST_c_c (conj, nan_value, nan_value, nan_value, nan_value);
1908 TEST_c_c (conj, plus_infty, minus_infty, plus_infty, plus_infty);
1909 TEST_c_c (conj, plus_infty, plus_infty, plus_infty, minus_infty);
1910 TEST_c_c (conj, 1.0, 2.0, 1.0, -2.0);
1911 TEST_c_c (conj, 3.0, -4.0, 3.0, 4.0);
1913 END (conj, complex);
1919 copysign_test (void)
1923 TEST_ff_f (copysign, 0, 4, 0);
1924 TEST_ff_f (copysign, 0, -4, minus_zero);
1925 TEST_ff_f (copysign, minus_zero, 4, 0);
1926 TEST_ff_f (copysign, minus_zero, -4, minus_zero);
1928 TEST_ff_f (copysign, plus_infty, 0, plus_infty);
1929 TEST_ff_f (copysign, plus_infty, minus_zero, minus_infty);
1930 TEST_ff_f (copysign, minus_infty, 0, plus_infty);
1931 TEST_ff_f (copysign, minus_infty, minus_zero, minus_infty);
1933 TEST_ff_f (copysign, 0, plus_infty, 0);
1934 TEST_ff_f (copysign, 0, minus_zero, minus_zero);
1935 TEST_ff_f (copysign, minus_zero, plus_infty, 0);
1936 TEST_ff_f (copysign, minus_zero, minus_zero, minus_zero);
1938 /* XXX More correctly we would have to check the sign of the NaN. */
1939 TEST_ff_f (copysign, nan_value, 0, nan_value);
1940 TEST_ff_f (copysign, nan_value, minus_zero, nan_value);
1941 TEST_ff_f (copysign, -nan_value, 0, nan_value);
1942 TEST_ff_f (copysign, -nan_value, minus_zero, nan_value);
1953 if (errno == ENOSYS)
1954 /* Function not implemented. */
1959 TEST_f_f (cos, 0, 1);
1960 TEST_f_f (cos, minus_zero, 1);
1961 TEST_f_f (cos, plus_infty, nan_value, INVALID_EXCEPTION);
1962 TEST_f_f (cos, minus_infty, nan_value, INVALID_EXCEPTION);
1963 TEST_f_f (cos, nan_value, nan_value);
1965 TEST_f_f (cos, M_PI_6l * 2.0, 0.5);
1966 TEST_f_f (cos, M_PI_6l * 4.0, -0.5);
1967 TEST_f_f (cos, M_PI_2l, 0);
1969 TEST_f_f (cos, 0.75L, 0.731688868873820886311838753000084544L);
1972 TEST_f_f (cos, 0.80190127184058835, 0.69534156199418473);
1984 if (errno == ENOSYS)
1985 /* Function not implemented. */
1989 TEST_f_f (cosh, 0, 1);
1990 TEST_f_f (cosh, minus_zero, 1);
1993 TEST_f_f (cosh, plus_infty, plus_infty);
1994 TEST_f_f (cosh, minus_infty, plus_infty);
1996 TEST_f_f (cosh, nan_value, nan_value);
1998 TEST_f_f (cosh, 0.75L, 1.29468328467684468784170818539018176L);
2009 FUNC(cpow) (BUILD_COMPLEX (1, 0), BUILD_COMPLEX (0, 0));
2010 if (errno == ENOSYS)
2011 /* Function not implemented. */
2016 TEST_cc_c (cpow, 1, 0, 0, 0, 1.0, 0.0);
2017 TEST_cc_c (cpow, 2, 0, 10, 0, 1024.0, 0.0);
2019 TEST_cc_c (cpow, M_El, 0, 0, 2 * M_PIl, 1.0, 0.0);
2020 TEST_cc_c (cpow, 2, 3, 4, 0, -119.0, -120.0);
2022 TEST_cc_c (cpow, nan_value, nan_value, nan_value, nan_value, nan_value, nan_value);
2024 TEST_cc_c (cpow, 0.75L, 1.25L, 0.75L, 1.25L, 0.117506293914473555420279832210420483L, 0.346552747708338676483025352060418001L);
2025 TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 1.0L, 0.0846958290317209430433805274189191353L, 0.513285749182902449043287190519090481L);
2026 TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 0.0L, 0.75L, 1.25L);
2027 TEST_cc_c (cpow, 0.75L, 1.25L, 0.0L, 1.0L, 0.331825439177608832276067945276730566L, 0.131338600281188544930936345230903032L);
2029 END (cpow, complex);
2037 TEST_c_c (cproj, 0.0, 0.0, 0.0, 0.0);
2038 TEST_c_c (cproj, minus_zero, minus_zero, minus_zero, minus_zero);
2039 TEST_c_c (cproj, 0.0, minus_zero, 0.0, minus_zero);
2040 TEST_c_c (cproj, minus_zero, 0.0, minus_zero, 0.0);
2042 TEST_c_c (cproj, nan_value, nan_value, nan_value, nan_value);
2044 TEST_c_c (cproj, plus_infty, plus_infty, plus_infty, 0.0);
2045 TEST_c_c (cproj, plus_infty, minus_infty, plus_infty, minus_zero);
2046 TEST_c_c (cproj, minus_infty, plus_infty, plus_infty, 0.0);
2047 TEST_c_c (cproj, minus_infty, minus_infty, plus_infty, minus_zero);
2049 TEST_c_c (cproj, 1.0, 0.0, 1.0, 0.0);
2050 TEST_c_c (cproj, 2.0, 3.0, 0.2857142857142857142857142857142857L, 0.42857142857142857142857142857142855L);
2052 END (cproj, complex);
2060 TEST_c_f (creal, 0.0, 1.0, 0.0);
2061 TEST_c_f (creal, minus_zero, 1.0, minus_zero);
2062 TEST_c_f (creal, nan_value, 1.0, nan_value);
2063 TEST_c_f (creal, nan_value, nan_value, nan_value);
2064 TEST_c_f (creal, plus_infty, 1.0, plus_infty);
2065 TEST_c_f (creal, minus_infty, 1.0, minus_infty);
2066 TEST_c_f (creal, 2.0, 3.0, 2.0);
2075 FUNC(csin) (BUILD_COMPLEX (0.7L, 1.2L));
2076 if (errno == ENOSYS)
2077 /* Function not implemented. */
2082 TEST_c_c (csin, 0.0, 0.0, 0.0, 0.0);
2083 TEST_c_c (csin, minus_zero, 0.0, minus_zero, 0.0);
2084 TEST_c_c (csin, 0.0, minus_zero, 0, minus_zero);
2085 TEST_c_c (csin, minus_zero, minus_zero, minus_zero, minus_zero);
2087 TEST_c_c (csin, 0.0, plus_infty, 0.0, plus_infty);
2088 TEST_c_c (csin, minus_zero, plus_infty, minus_zero, plus_infty);
2089 TEST_c_c (csin, 0.0, minus_infty, 0.0, minus_infty);
2090 TEST_c_c (csin, minus_zero, minus_infty, minus_zero, minus_infty);
2092 TEST_c_c (csin, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2093 TEST_c_c (csin, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2094 TEST_c_c (csin, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2095 TEST_c_c (csin, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2097 TEST_c_c (csin, plus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2098 TEST_c_c (csin, minus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2099 TEST_c_c (csin, plus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2100 TEST_c_c (csin, minus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2102 TEST_c_c (csin, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
2103 TEST_c_c (csin, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
2104 TEST_c_c (csin, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION);
2105 TEST_c_c (csin, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION);
2107 TEST_c_c (csin, 4.625, plus_infty, minus_infty, minus_infty);
2108 TEST_c_c (csin, 4.625, minus_infty, minus_infty, plus_infty);
2109 TEST_c_c (csin, -4.625, plus_infty, plus_infty, minus_infty);
2110 TEST_c_c (csin, -4.625, minus_infty, plus_infty, plus_infty);
2112 TEST_c_c (csin, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
2113 TEST_c_c (csin, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN);
2115 TEST_c_c (csin, nan_value, plus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2116 TEST_c_c (csin, nan_value, minus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2118 TEST_c_c (csin, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2119 TEST_c_c (csin, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2121 TEST_c_c (csin, 0.0, nan_value, 0.0, nan_value);
2122 TEST_c_c (csin, minus_zero, nan_value, minus_zero, nan_value);
2124 TEST_c_c (csin, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2125 TEST_c_c (csin, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2127 TEST_c_c (csin, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2128 TEST_c_c (csin, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2130 TEST_c_c (csin, nan_value, nan_value, nan_value, nan_value);
2132 TEST_c_c (csin, 0.75L, 1.25L, 1.28722291002649188575873510790565441L, 1.17210635989270256101081285116138863L);
2133 TEST_c_c (csin, -2, -3, -9.15449914691142957346729954460983256L, 4.16890695996656435075481305885375484L);
2135 END (csin, complex);
2143 FUNC(csinh) (BUILD_COMPLEX (0.7L, 1.2L));
2144 if (errno == ENOSYS)
2145 /* Function not implemented. */
2150 TEST_c_c (csinh, 0.0, 0.0, 0.0, 0.0);
2151 TEST_c_c (csinh, minus_zero, 0.0, minus_zero, 0.0);
2152 TEST_c_c (csinh, 0.0, minus_zero, 0.0, minus_zero);
2153 TEST_c_c (csinh, minus_zero, minus_zero, minus_zero, minus_zero);
2155 TEST_c_c (csinh, 0.0, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2156 TEST_c_c (csinh, minus_zero, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2157 TEST_c_c (csinh, 0.0, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2158 TEST_c_c (csinh, minus_zero, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2160 TEST_c_c (csinh, plus_infty, 0.0, plus_infty, 0.0);
2161 TEST_c_c (csinh, minus_infty, 0.0, minus_infty, 0.0);
2162 TEST_c_c (csinh, plus_infty, minus_zero, plus_infty, minus_zero);
2163 TEST_c_c (csinh, minus_infty, minus_zero, minus_infty, minus_zero);
2165 TEST_c_c (csinh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2166 TEST_c_c (csinh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2167 TEST_c_c (csinh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2168 TEST_c_c (csinh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN);
2170 TEST_c_c (csinh, plus_infty, 4.625, minus_infty, minus_infty);
2171 TEST_c_c (csinh, minus_infty, 4.625, plus_infty, minus_infty);
2172 TEST_c_c (csinh, plus_infty, -4.625, minus_infty, plus_infty);
2173 TEST_c_c (csinh, minus_infty, -4.625, plus_infty, plus_infty);
2175 TEST_c_c (csinh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2176 TEST_c_c (csinh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2177 TEST_c_c (csinh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2178 TEST_c_c (csinh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2180 TEST_c_c (csinh, 0.0, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN);
2181 TEST_c_c (csinh, minus_zero, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN);
2183 TEST_c_c (csinh, plus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
2184 TEST_c_c (csinh, minus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN);
2186 TEST_c_c (csinh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2187 TEST_c_c (csinh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2189 TEST_c_c (csinh, nan_value, 0.0, nan_value, 0.0);
2190 TEST_c_c (csinh, nan_value, minus_zero, nan_value, minus_zero);
2192 TEST_c_c (csinh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2193 TEST_c_c (csinh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2195 TEST_c_c (csinh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2196 TEST_c_c (csinh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2198 TEST_c_c (csinh, nan_value, nan_value, nan_value, nan_value);
2200 TEST_c_c (csinh, 0.75L, 1.25L, 0.259294854551162779153349830618433028L, 1.22863452409509552219214606515777594L);
2201 TEST_c_c (csinh, -2, -3, 3.59056458998577995201256544779481679L, -0.530921086248519805267040090660676560L);
2203 END (csinh, complex);
2211 FUNC(csqrt) (BUILD_COMPLEX (-1, 0));
2212 if (errno == ENOSYS)
2213 /* Function not implemented. */
2218 TEST_c_c (csqrt, 0, 0, 0.0, 0.0);
2219 TEST_c_c (csqrt, 0, minus_zero, 0, minus_zero);
2220 TEST_c_c (csqrt, minus_zero, 0, 0.0, 0.0);
2221 TEST_c_c (csqrt, minus_zero, minus_zero, 0.0, minus_zero);
2223 TEST_c_c (csqrt, minus_infty, 0, 0.0, plus_infty);
2224 TEST_c_c (csqrt, minus_infty, 6, 0.0, plus_infty);
2225 TEST_c_c (csqrt, minus_infty, minus_zero, 0.0, minus_infty);
2226 TEST_c_c (csqrt, minus_infty, -6, 0.0, minus_infty);
2228 TEST_c_c (csqrt, plus_infty, 0, plus_infty, 0.0);
2229 TEST_c_c (csqrt, plus_infty, 6, plus_infty, 0.0);
2230 TEST_c_c (csqrt, plus_infty, minus_zero, plus_infty, minus_zero);
2231 TEST_c_c (csqrt, plus_infty, -6, plus_infty, minus_zero);
2233 TEST_c_c (csqrt, 0, plus_infty, plus_infty, plus_infty);
2234 TEST_c_c (csqrt, 4, plus_infty, plus_infty, plus_infty);
2235 TEST_c_c (csqrt, plus_infty, plus_infty, plus_infty, plus_infty);
2236 TEST_c_c (csqrt, minus_zero, plus_infty, plus_infty, plus_infty);
2237 TEST_c_c (csqrt, -4, plus_infty, plus_infty, plus_infty);
2238 TEST_c_c (csqrt, minus_infty, plus_infty, plus_infty, plus_infty);
2239 TEST_c_c (csqrt, 0, minus_infty, plus_infty, minus_infty);
2240 TEST_c_c (csqrt, 4, minus_infty, plus_infty, minus_infty);
2241 TEST_c_c (csqrt, plus_infty, minus_infty, plus_infty, minus_infty);
2242 TEST_c_c (csqrt, minus_zero, minus_infty, plus_infty, minus_infty);
2243 TEST_c_c (csqrt, -4, minus_infty, plus_infty, minus_infty);
2244 TEST_c_c (csqrt, minus_infty, minus_infty, plus_infty, minus_infty);
2246 TEST_c_c (csqrt, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN);
2248 TEST_c_c (csqrt, plus_infty, nan_value, plus_infty, nan_value);
2250 TEST_c_c (csqrt, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2251 TEST_c_c (csqrt, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2252 TEST_c_c (csqrt, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2253 TEST_c_c (csqrt, -1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2255 TEST_c_c (csqrt, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2256 TEST_c_c (csqrt, nan_value, 8, nan_value, nan_value, INVALID_EXCEPTION_OK);
2257 TEST_c_c (csqrt, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
2258 TEST_c_c (csqrt, nan_value, -8, nan_value, nan_value, INVALID_EXCEPTION_OK);
2260 TEST_c_c (csqrt, nan_value, nan_value, nan_value, nan_value);
2262 TEST_c_c (csqrt, 16.0, -30.0, 5.0, -3.0);
2263 TEST_c_c (csqrt, -1, 0, 0.0, 1.0);
2264 TEST_c_c (csqrt, 0, 2, 1.0, 1.0);
2265 TEST_c_c (csqrt, 119, 120, 12.0, 5.0);
2266 TEST_c_c (csqrt, 0.75L, 1.25L, 1.05065169626078392338656675760808326L, 0.594868882070379067881984030639932657L);
2267 TEST_c_c (csqrt, -2, -3, 0.89597747612983812471573375529004348L, -1.6741492280355400404480393008490519L);
2268 TEST_c_c (csqrt, -2, 3, 0.89597747612983812471573375529004348L, 1.6741492280355400404480393008490519L);
2269 /* Principal square root should be returned (i.e., non-negative real
2271 TEST_c_c (csqrt, 0, -1, M_SQRT_2_2, -M_SQRT_2_2);
2273 END (csqrt, complex);
2280 FUNC(ctan) (BUILD_COMPLEX (0.7L, 1.2L));
2281 if (errno == ENOSYS)
2282 /* Function not implemented. */
2287 TEST_c_c (ctan, 0, 0, 0.0, 0.0);
2288 TEST_c_c (ctan, 0, minus_zero, 0.0, minus_zero);
2289 TEST_c_c (ctan, minus_zero, 0, minus_zero, 0.0);
2290 TEST_c_c (ctan, minus_zero, minus_zero, minus_zero, minus_zero);
2292 TEST_c_c (ctan, 0, plus_infty, 0.0, 1.0);
2293 TEST_c_c (ctan, 1, plus_infty, 0.0, 1.0);
2294 TEST_c_c (ctan, minus_zero, plus_infty, minus_zero, 1.0);
2295 TEST_c_c (ctan, -1, plus_infty, minus_zero, 1.0);
2297 TEST_c_c (ctan, 0, minus_infty, 0.0, -1.0);
2298 TEST_c_c (ctan, 1, minus_infty, 0.0, -1.0);
2299 TEST_c_c (ctan, minus_zero, minus_infty, minus_zero, -1.0);
2300 TEST_c_c (ctan, -1, minus_infty, minus_zero, -1.0);
2302 TEST_c_c (ctan, plus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION);
2303 TEST_c_c (ctan, plus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION);
2304 TEST_c_c (ctan, minus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION);
2305 TEST_c_c (ctan, minus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION);
2306 TEST_c_c (ctan, plus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION);
2307 TEST_c_c (ctan, plus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION);
2308 TEST_c_c (ctan, minus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION);
2309 TEST_c_c (ctan, minus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION);
2311 TEST_c_c (ctan, nan_value, plus_infty, 0.0, 1.0, IGNORE_ZERO_INF_SIGN);
2312 TEST_c_c (ctan, nan_value, minus_infty, 0.0, -1.0, IGNORE_ZERO_INF_SIGN);
2314 TEST_c_c (ctan, 0, nan_value, 0.0, nan_value);
2315 TEST_c_c (ctan, minus_zero, nan_value, minus_zero, nan_value);
2317 TEST_c_c (ctan, 0.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2318 TEST_c_c (ctan, -4.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2320 TEST_c_c (ctan, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2321 TEST_c_c (ctan, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2322 TEST_c_c (ctan, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK);
2323 TEST_c_c (ctan, nan_value, -0.25, nan_value, nan_value, INVALID_EXCEPTION_OK);
2325 TEST_c_c (ctan, nan_value, nan_value, nan_value, nan_value);
2327 TEST_c_c (ctan, 0.75L, 1.25L, 0.160807785916206426725166058173438663L, 0.975363285031235646193581759755216379L);
2328 TEST_c_c (ctan, -2, -3, 0.376402564150424829275122113032269084e-2L, -1.00323862735360980144635859782192726L);
2330 END (ctan, complex);
2338 FUNC(ctanh) (BUILD_COMPLEX (0, 0));
2339 if (errno == ENOSYS)
2340 /* Function not implemented. */
2345 TEST_c_c (ctanh, 0, 0, 0.0, 0.0);
2346 TEST_c_c (ctanh, 0, minus_zero, 0.0, minus_zero);
2347 TEST_c_c (ctanh, minus_zero, 0, minus_zero, 0.0);
2348 TEST_c_c (ctanh, minus_zero, minus_zero, minus_zero, minus_zero);
2350 TEST_c_c (ctanh, plus_infty, 0, 1.0, 0.0);
2351 TEST_c_c (ctanh, plus_infty, 1, 1.0, 0.0);
2352 TEST_c_c (ctanh, plus_infty, minus_zero, 1.0, minus_zero);
2353 TEST_c_c (ctanh, plus_infty, -1, 1.0, minus_zero);
2354 TEST_c_c (ctanh, minus_infty, 0, -1.0, 0.0);
2355 TEST_c_c (ctanh, minus_infty, 1, -1.0, 0.0);
2356 TEST_c_c (ctanh, minus_infty, minus_zero, -1.0, minus_zero);
2357 TEST_c_c (ctanh, minus_infty, -1, -1.0, minus_zero);
2359 TEST_c_c (ctanh, 0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2360 TEST_c_c (ctanh, 2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2361 TEST_c_c (ctanh, 0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2362 TEST_c_c (ctanh, 2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2363 TEST_c_c (ctanh, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2364 TEST_c_c (ctanh, -2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2365 TEST_c_c (ctanh, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2366 TEST_c_c (ctanh, -2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
2368 TEST_c_c (ctanh, plus_infty, nan_value, 1.0, 0.0, IGNORE_ZERO_INF_SIGN);
2369 TEST_c_c (ctanh, minus_infty, nan_value, -1.0, 0.0, IGNORE_ZERO_INF_SIGN);
2371 TEST_c_c (ctanh, nan_value, 0, nan_value, 0.0);
2372 TEST_c_c (ctanh, nan_value, minus_zero, nan_value, minus_zero);
2374 TEST_c_c (ctanh, nan_value, 0.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2375 TEST_c_c (ctanh, nan_value, -4.5, nan_value, nan_value, INVALID_EXCEPTION_OK);
2377 TEST_c_c (ctanh, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2378 TEST_c_c (ctanh, 5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2379 TEST_c_c (ctanh, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2380 TEST_c_c (ctanh, -0.25, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
2382 TEST_c_c (ctanh, nan_value, nan_value, nan_value, nan_value);
2384 TEST_c_c (ctanh, 0, M_PI_4l, 0.0, 1.0);
2386 TEST_c_c (ctanh, 0.75L, 1.25L, 1.37260757053378320258048606571226857L, 0.385795952609750664177596760720790220L);
2387 TEST_c_c (ctanh, -2, -3, -0.965385879022133124278480269394560686L, 0.988437503832249372031403430350121098e-2L);
2389 END (ctanh, complex);
2399 if (errno == ENOSYS)
2400 /* Function not implemented. */
2405 TEST_f_f (erf, 0, 0);
2406 TEST_f_f (erf, minus_zero, minus_zero);
2407 TEST_f_f (erf, plus_infty, 1);
2408 TEST_f_f (erf, minus_infty, -1);
2409 TEST_f_f (erf, nan_value, nan_value);
2411 TEST_f_f (erf, 0.125L, 0.140316204801333817393029446521623398L);
2412 TEST_f_f (erf, 0.75L, 0.711155633653515131598937834591410777L);
2413 TEST_f_f (erf, 1.25L, 0.922900128256458230136523481197281140L);
2414 TEST_f_f (erf, 2.0L, 0.995322265018952734162069256367252929L);
2415 TEST_f_f (erf, 4.125L, 0.999999994576599200434933994687765914L);
2416 TEST_f_f (erf, 27.0L, 1.0L);
2427 if (errno == ENOSYS)
2428 /* Function not implemented. */
2433 TEST_f_f (erfc, plus_infty, 0.0);
2434 TEST_f_f (erfc, minus_infty, 2.0);
2435 TEST_f_f (erfc, 0.0, 1.0);
2436 TEST_f_f (erfc, minus_zero, 1.0);
2437 TEST_f_f (erfc, nan_value, nan_value);
2439 TEST_f_f (erfc, 0.125L, 0.859683795198666182606970553478376602L);
2440 TEST_f_f (erfc, 0.75L, 0.288844366346484868401062165408589223L);
2441 TEST_f_f (erfc, 1.25L, 0.0770998717435417698634765188027188596L);
2442 TEST_f_f (erfc, 2.0L, 0.00467773498104726583793074363274707139L);
2443 TEST_f_f (erfc, 4.125L, 0.542340079956506600531223408575531062e-8L);
2445 /* The result can only be represented in long double. */
2446 # if LDBL_MIN_10_EXP < -319
2447 TEST_f_f (erfc, 27.0L, 0.523704892378925568501606768284954709e-318L);
2460 if (errno == ENOSYS)
2461 /* Function not implemented. */
2466 TEST_f_f (exp, 0, 1);
2467 TEST_f_f (exp, minus_zero, 1);
2470 TEST_f_f (exp, plus_infty, plus_infty);
2471 TEST_f_f (exp, minus_infty, 0);
2473 TEST_f_f (exp, nan_value, nan_value);
2474 TEST_f_f (exp, 1, M_El);
2476 TEST_f_f (exp, 2, M_E2l);
2477 TEST_f_f (exp, 3, M_E3l);
2478 TEST_f_f (exp, 0.75L, 2.11700001661267466854536981983709561L);
2479 TEST_f_f (exp, 50.0L, 5184705528587072464087.45332293348538L);
2481 /* The result can only be represented in long double. */
2482 TEST_f_f (exp, 1000.0L, 0.197007111401704699388887935224332313e435L);
2495 if (errno == ENOSYS)
2496 /* Function not implemented. */
2501 TEST_f_f (exp10, 0, 1);
2502 TEST_f_f (exp10, minus_zero, 1);
2504 TEST_f_f (exp10, plus_infty, plus_infty);
2505 TEST_f_f (exp10, minus_infty, 0);
2506 TEST_f_f (exp10, nan_value, nan_value);
2507 TEST_f_f (exp10, 3, 1000);
2508 TEST_f_f (exp10, -1, 0.1L);
2509 TEST_f_f (exp10, 1e6, plus_infty);
2510 TEST_f_f (exp10, -1e6, 0);
2511 TEST_f_f (exp10, 0.75L, 5.62341325190349080394951039776481231L);
2522 if (errno == ENOSYS)
2523 /* Function not implemented. */
2528 TEST_f_f (exp2, 0, 1);
2529 TEST_f_f (exp2, minus_zero, 1);
2530 TEST_f_f (exp2, plus_infty, plus_infty);
2531 TEST_f_f (exp2, minus_infty, 0);
2532 TEST_f_f (exp2, nan_value, nan_value);
2534 TEST_f_f (exp2, 10, 1024);
2535 TEST_f_f (exp2, -1, 0.5);
2536 TEST_f_f (exp2, 1e6, plus_infty);
2537 TEST_f_f (exp2, -1e6, 0);
2538 TEST_f_f (exp2, 0.75L, 1.68179283050742908606225095246642979L);
2550 if (errno == ENOSYS)
2551 /* Function not implemented. */
2556 TEST_f_f (expm1, 0, 0);
2557 TEST_f_f (expm1, minus_zero, minus_zero);
2560 TEST_f_f (expm1, plus_infty, plus_infty);
2561 TEST_f_f (expm1, minus_infty, -1);
2563 TEST_f_f (expm1, nan_value, nan_value);
2565 TEST_f_f (expm1, 1, M_El - 1.0);
2566 TEST_f_f (expm1, 0.75L, 1.11700001661267466854536981983709561L);
2577 TEST_f_f (fabs, 0, 0);
2578 TEST_f_f (fabs, minus_zero, 0);
2580 TEST_f_f (fabs, plus_infty, plus_infty);
2581 TEST_f_f (fabs, minus_infty, plus_infty);
2582 TEST_f_f (fabs, nan_value, nan_value);
2584 TEST_f_f (fabs, 38.0, 38.0);
2585 TEST_f_f (fabs, -M_El, M_El);
2597 TEST_ff_f (fdim, 0, 0, 0);
2598 TEST_ff_f (fdim, 9, 0, 9);
2599 TEST_ff_f (fdim, 0, 9, 0);
2600 TEST_ff_f (fdim, -9, 0, 0);
2601 TEST_ff_f (fdim, 0, -9, 9);
2603 TEST_ff_f (fdim, plus_infty, 9, plus_infty);
2604 TEST_ff_f (fdim, plus_infty, -9, plus_infty);
2605 TEST_ff_f (fdim, minus_infty, 9, 0);
2606 TEST_ff_f (fdim, minus_infty, -9, 0);
2607 TEST_ff_f (fdim, 9, minus_infty, plus_infty);
2608 TEST_ff_f (fdim, -9, minus_infty, plus_infty);
2609 TEST_ff_f (fdim, 9, plus_infty, 0);
2610 TEST_ff_f (fdim, -9, plus_infty, 0);
2612 TEST_ff_f (fdim, 0, nan_value, nan_value);
2613 TEST_ff_f (fdim, 9, nan_value, nan_value);
2614 TEST_ff_f (fdim, -9, nan_value, nan_value);
2615 TEST_ff_f (fdim, nan_value, 9, nan_value);
2616 TEST_ff_f (fdim, nan_value, -9, nan_value);
2617 TEST_ff_f (fdim, plus_infty, nan_value, nan_value);
2618 TEST_ff_f (fdim, minus_infty, nan_value, nan_value);
2619 TEST_ff_f (fdim, nan_value, plus_infty, nan_value);
2620 TEST_ff_f (fdim, nan_value, minus_infty, nan_value);
2621 TEST_ff_f (fdim, nan_value, nan_value, nan_value);
2623 TEST_ff_f (fdim, plus_infty, plus_infty, 0);
2635 TEST_f_f (floor, 0.0, 0.0);
2636 TEST_f_f (floor, minus_zero, minus_zero);
2637 TEST_f_f (floor, plus_infty, plus_infty);
2638 TEST_f_f (floor, minus_infty, minus_infty);
2639 TEST_f_f (floor, nan_value, nan_value);
2641 TEST_f_f (floor, M_PIl, 3.0);
2642 TEST_f_f (floor, -M_PIl, -4.0);
2644 TEST_f_f (floor, 0.25, 0.0);
2645 TEST_f_f (floor, -0.25, -1.0);
2649 /* The result can only be represented in long double. */
2650 TEST_f_f (floor, 4503599627370495.5L, 4503599627370495.0L);
2651 TEST_f_f (floor, 4503599627370496.25L, 4503599627370496.0L);
2652 TEST_f_f (floor, 4503599627370496.5L, 4503599627370496.0L);
2653 TEST_f_f (floor, 4503599627370496.75L, 4503599627370496.0L);
2654 TEST_f_f (floor, 4503599627370497.5L, 4503599627370497.0L);
2656 TEST_f_f (floor, -4503599627370495.5L, -4503599627370496.0L);
2657 TEST_f_f (floor, -4503599627370496.25L, -4503599627370497.0L);
2658 TEST_f_f (floor, -4503599627370496.5L, -4503599627370497.0L);
2659 TEST_f_f (floor, -4503599627370496.75L, -4503599627370497.0L);
2660 TEST_f_f (floor, -4503599627370497.5L, -4503599627370498.0L);
2662 TEST_f_f (floor, 9007199254740991.5L, 9007199254740991.0L);
2663 TEST_f_f (floor, 9007199254740992.25L, 9007199254740992.0L);
2664 TEST_f_f (floor, 9007199254740992.5L, 9007199254740992.0L);
2665 TEST_f_f (floor, 9007199254740992.75L, 9007199254740992.0L);
2666 TEST_f_f (floor, 9007199254740993.5L, 9007199254740993.0L);
2668 TEST_f_f (floor, -9007199254740991.5L, -9007199254740992.0L);
2669 TEST_f_f (floor, -9007199254740992.25L, -9007199254740993.0L);
2670 TEST_f_f (floor, -9007199254740992.5L, -9007199254740993.0L);
2671 TEST_f_f (floor, -9007199254740992.75L, -9007199254740993.0L);
2672 TEST_f_f (floor, -9007199254740993.5L, -9007199254740994.0L);
2674 TEST_f_f (floor, 72057594037927935.5L, 72057594037927935.0L);
2675 TEST_f_f (floor, 72057594037927936.25L, 72057594037927936.0L);
2676 TEST_f_f (floor, 72057594037927936.5L, 72057594037927936.0L);
2677 TEST_f_f (floor, 72057594037927936.75L, 72057594037927936.0L);
2678 TEST_f_f (floor, 72057594037927937.5L, 72057594037927937.0L);
2680 TEST_f_f (floor, -72057594037927935.5L, -72057594037927936.0L);
2681 TEST_f_f (floor, -72057594037927936.25L, -72057594037927937.0L);
2682 TEST_f_f (floor, -72057594037927936.5L, -72057594037927937.0L);
2683 TEST_f_f (floor, -72057594037927936.75L, -72057594037927937.0L);
2684 TEST_f_f (floor, -72057594037927937.5L, -72057594037927938.0L);
2686 TEST_f_f (floor, 10141204801825835211973625643007.5L, 10141204801825835211973625643007.0L);
2687 TEST_f_f (floor, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
2688 TEST_f_f (floor, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
2689 TEST_f_f (floor, 10141204801825835211973625643008.75L, 10141204801825835211973625643008.0L);
2690 TEST_f_f (floor, 10141204801825835211973625643009.5L, 10141204801825835211973625643009.0L);
2703 TEST_fff_f (fma, 1.0, 2.0, 3.0, 5.0);
2704 TEST_fff_f (fma, nan_value, 2.0, 3.0, nan_value);
2705 TEST_fff_f (fma, 1.0, nan_value, 3.0, nan_value);
2706 TEST_fff_f (fma, 1.0, 2.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2707 TEST_fff_f (fma, plus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2708 TEST_fff_f (fma, minus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK);
2709 TEST_fff_f (fma, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2710 TEST_fff_f (fma, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK);
2711 TEST_fff_f (fma, plus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION);
2712 TEST_fff_f (fma, minus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION);
2713 TEST_fff_f (fma, 0.0, plus_infty, 1.0, nan_value, INVALID_EXCEPTION);
2714 TEST_fff_f (fma, 0.0, minus_infty, 1.0, nan_value, INVALID_EXCEPTION);
2716 TEST_fff_f (fma, plus_infty, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
2717 TEST_fff_f (fma, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
2718 TEST_fff_f (fma, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
2719 TEST_fff_f (fma, minus_infty, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
2721 TEST_fff_f (fma, 1.25L, 0.75L, 0.0625L, 1.0L);
2732 TEST_ff_f (fmax, 0, 0, 0);
2733 TEST_ff_f (fmax, minus_zero, minus_zero, minus_zero);
2734 TEST_ff_f (fmax, 9, 0, 9);
2735 TEST_ff_f (fmax, 0, 9, 9);
2736 TEST_ff_f (fmax, -9, 0, 0);
2737 TEST_ff_f (fmax, 0, -9, 0);
2739 TEST_ff_f (fmax, plus_infty, 9, plus_infty);
2740 TEST_ff_f (fmax, 0, plus_infty, plus_infty);
2741 TEST_ff_f (fmax, -9, plus_infty, plus_infty);
2742 TEST_ff_f (fmax, plus_infty, -9, plus_infty);
2744 TEST_ff_f (fmax, minus_infty, 9, 9);
2745 TEST_ff_f (fmax, minus_infty, -9, -9);
2746 TEST_ff_f (fmax, 9, minus_infty, 9);
2747 TEST_ff_f (fmax, -9, minus_infty, -9);
2749 TEST_ff_f (fmax, 0, nan_value, 0);
2750 TEST_ff_f (fmax, 9, nan_value, 9);
2751 TEST_ff_f (fmax, -9, nan_value, -9);
2752 TEST_ff_f (fmax, nan_value, 0, 0);
2753 TEST_ff_f (fmax, nan_value, 9, 9);
2754 TEST_ff_f (fmax, nan_value, -9, -9);
2755 TEST_ff_f (fmax, plus_infty, nan_value, plus_infty);
2756 TEST_ff_f (fmax, minus_infty, nan_value, minus_infty);
2757 TEST_ff_f (fmax, nan_value, plus_infty, plus_infty);
2758 TEST_ff_f (fmax, nan_value, minus_infty, minus_infty);
2759 TEST_ff_f (fmax, nan_value, nan_value, nan_value);
2770 TEST_ff_f (fmin, 0, 0, 0);
2771 TEST_ff_f (fmin, minus_zero, minus_zero, minus_zero);
2772 TEST_ff_f (fmin, 9, 0, 0);
2773 TEST_ff_f (fmin, 0, 9, 0);
2774 TEST_ff_f (fmin, -9, 0, -9);
2775 TEST_ff_f (fmin, 0, -9, -9);
2777 TEST_ff_f (fmin, plus_infty, 9, 9);
2778 TEST_ff_f (fmin, 9, plus_infty, 9);
2779 TEST_ff_f (fmin, plus_infty, -9, -9);
2780 TEST_ff_f (fmin, -9, plus_infty, -9);
2781 TEST_ff_f (fmin, minus_infty, 9, minus_infty);
2782 TEST_ff_f (fmin, minus_infty, -9, minus_infty);
2783 TEST_ff_f (fmin, 9, minus_infty, minus_infty);
2784 TEST_ff_f (fmin, -9, minus_infty, minus_infty);
2786 TEST_ff_f (fmin, 0, nan_value, 0);
2787 TEST_ff_f (fmin, 9, nan_value, 9);
2788 TEST_ff_f (fmin, -9, nan_value, -9);
2789 TEST_ff_f (fmin, nan_value, 0, 0);
2790 TEST_ff_f (fmin, nan_value, 9, 9);
2791 TEST_ff_f (fmin, nan_value, -9, -9);
2792 TEST_ff_f (fmin, plus_infty, nan_value, plus_infty);
2793 TEST_ff_f (fmin, minus_infty, nan_value, minus_infty);
2794 TEST_ff_f (fmin, nan_value, plus_infty, plus_infty);
2795 TEST_ff_f (fmin, nan_value, minus_infty, minus_infty);
2796 TEST_ff_f (fmin, nan_value, nan_value, nan_value);
2807 FUNC(fmod) (6.5, 2.3L);
2808 if (errno == ENOSYS)
2809 /* Function not implemented. */
2814 /* fmod (+0, y) == +0 for y != 0. */
2815 TEST_ff_f (fmod, 0, 3, 0);
2817 /* fmod (-0, y) == -0 for y != 0. */
2818 TEST_ff_f (fmod, minus_zero, 3, minus_zero);
2820 /* fmod (+inf, y) == NaN plus invalid exception. */
2821 TEST_ff_f (fmod, plus_infty, 3, nan_value, INVALID_EXCEPTION);
2822 /* fmod (-inf, y) == NaN plus invalid exception. */
2823 TEST_ff_f (fmod, minus_infty, 3, nan_value, INVALID_EXCEPTION);
2824 /* fmod (x, +0) == NaN plus invalid exception. */
2825 TEST_ff_f (fmod, 3, 0, nan_value, INVALID_EXCEPTION);
2826 /* fmod (x, -0) == NaN plus invalid exception. */
2827 TEST_ff_f (fmod, 3, minus_zero, nan_value, INVALID_EXCEPTION);
2829 /* fmod (x, +inf) == x for x not infinite. */
2830 TEST_ff_f (fmod, 3.0, plus_infty, 3.0);
2831 /* fmod (x, -inf) == x for x not infinite. */
2832 TEST_ff_f (fmod, 3.0, minus_infty, 3.0);
2834 TEST_ff_f (fmod, nan_value, nan_value, nan_value);
2836 TEST_ff_f (fmod, 6.5, 2.25L, 2.0L);
2837 TEST_ff_f (fmod, -6.5, 2.25L, -2.0L);
2838 TEST_ff_f (fmod, 6.5, -2.25L, 2.0L);
2839 TEST_ff_f (fmod, -6.5, -2.25L, -2.0L);
2846 fpclassify_test (void)
2850 TEST_f_i (fpclassify, nan_value, FP_NAN);
2851 TEST_f_i (fpclassify, plus_infty, FP_INFINITE);
2852 TEST_f_i (fpclassify, minus_infty, FP_INFINITE);
2853 TEST_f_i (fpclassify, plus_zero, FP_ZERO);
2854 TEST_f_i (fpclassify, minus_zero, FP_ZERO);
2855 TEST_f_i (fpclassify, 1000, FP_NORMAL);
2868 TEST_fI_f1 (frexp, plus_infty, plus_infty, IGNORE);
2869 TEST_fI_f1 (frexp, minus_infty, minus_infty, IGNORE);
2870 TEST_fI_f1 (frexp, nan_value, nan_value, IGNORE);
2872 TEST_fI_f1 (frexp, 0.0, 0.0, 0.0);
2873 TEST_fI_f1 (frexp, minus_zero, minus_zero, 0.0);
2875 TEST_fI_f1 (frexp, 12.8L, 0.8L, 4);
2876 TEST_fI_f1 (frexp, -27.34L, -0.854375L, 5);
2888 if (errno == ENOSYS)
2889 /* Function not implemented. */
2891 feclearexcept (FE_ALL_EXCEPT);
2895 TEST_f_f (gamma, plus_infty, plus_infty);
2896 TEST_f_f (gamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
2897 TEST_f_f (gamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
2898 TEST_f_f (gamma, minus_infty, plus_infty);
2899 TEST_f_f (gamma, nan_value, nan_value);
2901 TEST_f_f1 (gamma, 1, 0, 1);
2902 TEST_f_f1 (gamma, 3, M_LN2l, 1);
2904 TEST_f_f1 (gamma, 0.5, M_LOG_SQRT_PIl, 1);
2905 TEST_f_f1 (gamma, -0.5, M_LOG_2_SQRT_PIl, -1);
2914 FUNC(hypot) (0.7L, 12.4L);
2915 if (errno == ENOSYS)
2916 /* Function not implemented. */
2921 TEST_ff_f (hypot, plus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN);
2922 TEST_ff_f (hypot, minus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN);
2925 TEST_ff_f (hypot, plus_infty, nan_value, plus_infty);
2926 TEST_ff_f (hypot, minus_infty, nan_value, plus_infty);
2927 TEST_ff_f (hypot, nan_value, plus_infty, plus_infty);
2928 TEST_ff_f (hypot, nan_value, minus_infty, plus_infty);
2931 TEST_ff_f (hypot, nan_value, nan_value, nan_value);
2933 /* hypot (x,y) == hypot (+-x, +-y) */
2934 TEST_ff_f (hypot, 0.7L, 12.4L, 12.419742348374220601176836866763271L);
2935 TEST_ff_f (hypot, -0.7L, 12.4L, 12.419742348374220601176836866763271L);
2936 TEST_ff_f (hypot, 0.7L, -12.4L, 12.419742348374220601176836866763271L);
2937 TEST_ff_f (hypot, -0.7L, -12.4L, 12.419742348374220601176836866763271L);
2938 TEST_ff_f (hypot, 12.4L, 0.7L, 12.419742348374220601176836866763271L);
2939 TEST_ff_f (hypot, -12.4L, 0.7L, 12.419742348374220601176836866763271L);
2940 TEST_ff_f (hypot, 12.4L, -0.7L, 12.419742348374220601176836866763271L);
2941 TEST_ff_f (hypot, -12.4L, -0.7L, 12.419742348374220601176836866763271L);
2943 /* hypot (x,0) == fabs (x) */
2944 TEST_ff_f (hypot, 0.75L, 0, 0.75L);
2945 TEST_ff_f (hypot, -0.75L, 0, 0.75L);
2946 TEST_ff_f (hypot, -5.7e7, 0, 5.7e7L);
2948 TEST_ff_f (hypot, 0.75L, 1.25L, 1.45773797371132511771853821938639577L);
2959 TEST_f_i (ilogb, 1, 0);
2960 TEST_f_i (ilogb, M_El, 1);
2961 TEST_f_i (ilogb, 1024, 10);
2962 TEST_f_i (ilogb, -2000, 10);
2964 /* XXX We have a problem here: the standard does not tell us whether
2965 exceptions are allowed/required. ignore them for now. */
2967 TEST_f_i (ilogb, 0.0, FP_ILOGB0, EXCEPTIONS_OK);
2968 TEST_f_i (ilogb, nan_value, FP_ILOGBNAN, EXCEPTIONS_OK);
2969 TEST_f_i (ilogb, plus_infty, INT_MAX, EXCEPTIONS_OK);
2970 TEST_f_i (ilogb, minus_infty, INT_MAX, EXCEPTIONS_OK);
2976 isfinite_test (void)
2980 TEST_f_b (isfinite, 0, 1);
2981 TEST_f_b (isfinite, minus_zero, 1);
2982 TEST_f_b (isfinite, 10, 1);
2983 TEST_f_b (isfinite, plus_infty, 0);
2984 TEST_f_b (isfinite, minus_infty, 0);
2985 TEST_f_b (isfinite, nan_value, 0);
2991 isnormal_test (void)
2995 TEST_f_b (isnormal, 0, 0);
2996 TEST_f_b (isnormal, minus_zero, 0);
2997 TEST_f_b (isnormal, 10, 1);
2998 TEST_f_b (isnormal, plus_infty, 0);
2999 TEST_f_b (isnormal, minus_infty, 0);
3000 TEST_f_b (isnormal, nan_value, 0);
3005 #if defined __DO_XSI_MATH__
3012 FUNC (sincos) (0, &s, &c);
3013 if (errno == ENOSYS)
3014 /* Required function not implemented. */
3018 if (errno == ENOSYS)
3019 /* Function not implemented. */
3024 /* j0 is the Bessel function of the first kind of order 0 */
3025 TEST_f_f (j0, nan_value, nan_value);
3026 TEST_f_f (j0, plus_infty, 0);
3027 TEST_f_f (j0, -1.0, 0.765197686557966551449717526102663221L);
3028 TEST_f_f (j0, 0.0, 1.0);
3029 TEST_f_f (j0, 0.125L, 0.996097563041985204620768999453174712L);
3030 TEST_f_f (j0, 0.75L, 0.864242275166648623555731103820923211L);
3031 TEST_f_f (j0, 1.0, 0.765197686557966551449717526102663221L);
3032 TEST_f_f (j0, 1.5, 0.511827671735918128749051744283411720L);
3033 TEST_f_f (j0, 2.0, 0.223890779141235668051827454649948626L);
3034 TEST_f_f (j0, 8.0, 0.171650807137553906090869407851972001L);
3035 TEST_f_f (j0, 10.0, -0.245935764451348335197760862485328754L);
3036 TEST_f_f (j0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
3037 TEST_f_f (j0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
3049 FUNC (sincos) (0, &s, &c);
3050 if (errno == ENOSYS)
3051 /* Required function not implemented. */
3055 if (errno == ENOSYS)
3056 /* Function not implemented. */
3059 /* j1 is the Bessel function of the first kind of order 1 */
3063 TEST_f_f (j1, nan_value, nan_value);
3064 TEST_f_f (j1, plus_infty, 0);
3066 TEST_f_f (j1, -1.0, -0.440050585744933515959682203718914913L);
3067 TEST_f_f (j1, 0.0, 0.0);
3068 TEST_f_f (j1, 0.125L, 0.0623780091344946810942311355879361177L);
3069 TEST_f_f (j1, 0.75L, 0.349243602174862192523281016426251335L);
3070 TEST_f_f (j1, 1.0, 0.440050585744933515959682203718914913L);
3071 TEST_f_f (j1, 1.5, 0.557936507910099641990121213156089400L);
3072 TEST_f_f (j1, 2.0, 0.576724807756873387202448242269137087L);
3073 TEST_f_f (j1, 8.0, 0.234636346853914624381276651590454612L);
3074 TEST_f_f (j1, 10.0, 0.0434727461688614366697487680258592883L);
3085 FUNC (sincos) (0, &s, &c);
3086 if (errno == ENOSYS)
3087 /* Required function not implemented. */
3091 if (errno == ENOSYS)
3092 /* Function not implemented. */
3095 /* jn is the Bessel function of the first kind of order n. */
3098 /* jn (0, x) == j0 (x) */
3099 TEST_ff_f (jn, 0, nan_value, nan_value);
3100 TEST_ff_f (jn, 0, plus_infty, 0);
3101 TEST_ff_f (jn, 0, -1.0, 0.765197686557966551449717526102663221L);
3102 TEST_ff_f (jn, 0, 0.0, 1.0);
3103 TEST_ff_f (jn, 0, 0.125L, 0.996097563041985204620768999453174712L);
3104 TEST_ff_f (jn, 0, 0.75L, 0.864242275166648623555731103820923211L);
3105 TEST_ff_f (jn, 0, 1.0, 0.765197686557966551449717526102663221L);
3106 TEST_ff_f (jn, 0, 1.5, 0.511827671735918128749051744283411720L);
3107 TEST_ff_f (jn, 0, 2.0, 0.223890779141235668051827454649948626L);
3108 TEST_ff_f (jn, 0, 8.0, 0.171650807137553906090869407851972001L);
3109 TEST_ff_f (jn, 0, 10.0, -0.245935764451348335197760862485328754L);
3110 TEST_ff_f (jn, 0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
3111 TEST_ff_f (jn, 0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
3113 /* jn (1, x) == j1 (x) */
3114 TEST_ff_f (jn, 1, nan_value, nan_value);
3115 TEST_ff_f (jn, 1, plus_infty, 0);
3116 TEST_ff_f (jn, 1, -1.0, -0.440050585744933515959682203718914913L);
3117 TEST_ff_f (jn, 1, 0.0, 0.0);
3118 TEST_ff_f (jn, 1, 0.125L, 0.0623780091344946810942311355879361177L);
3119 TEST_ff_f (jn, 1, 0.75L, 0.349243602174862192523281016426251335L);
3120 TEST_ff_f (jn, 1, 1.0, 0.440050585744933515959682203718914913L);
3121 TEST_ff_f (jn, 1, 1.5, 0.557936507910099641990121213156089400L);
3122 TEST_ff_f (jn, 1, 2.0, 0.576724807756873387202448242269137087L);
3123 TEST_ff_f (jn, 1, 8.0, 0.234636346853914624381276651590454612L);
3124 TEST_ff_f (jn, 1, 10.0, 0.0434727461688614366697487680258592883L);
3127 TEST_ff_f (jn, 3, nan_value, nan_value);
3128 TEST_ff_f (jn, 3, plus_infty, 0);
3130 TEST_ff_f (jn, 3, -1.0, -0.0195633539826684059189053216217515083L);
3131 TEST_ff_f (jn, 3, 0.0, 0.0);
3132 TEST_ff_f (jn, 3, 0.125L, 0.406503832554912875023029337653442868e-4L);
3133 TEST_ff_f (jn, 3, 0.75L, 0.848438342327410884392755236884386804e-2L);
3134 TEST_ff_f (jn, 3, 1.0, 0.0195633539826684059189053216217515083L);
3135 TEST_ff_f (jn, 3, 2.0, 0.128943249474402051098793332969239835L);
3136 TEST_ff_f (jn, 3, 10.0, 0.0583793793051868123429354784103409563L);
3139 TEST_ff_f (jn, 10, nan_value, nan_value);
3140 TEST_ff_f (jn, 10, plus_infty, 0);
3142 TEST_ff_f (jn, 10, -1.0, 0.263061512368745320699785368779050294e-9L);
3143 TEST_ff_f (jn, 10, 0.0, 0.0);
3144 TEST_ff_f (jn, 10, 0.125L, 0.250543369809369890173993791865771547e-18L);
3145 TEST_ff_f (jn, 10, 0.75L, 0.149621713117596814698712483621682835e-10L);
3146 TEST_ff_f (jn, 10, 1.0, 0.263061512368745320699785368779050294e-9L);
3147 TEST_ff_f (jn, 10, 2.0, 0.251538628271673670963516093751820639e-6L);
3148 TEST_ff_f (jn, 10, 10.0, 0.207486106633358857697278723518753428L);
3152 #endif /* __DO_XSI_MATH__ */
3158 TEST_ff_f (ldexp, 0, 0, 0);
3159 TEST_ff_f (ldexp, minus_zero, 0, minus_zero);
3161 TEST_ff_f (ldexp, plus_infty, 1, plus_infty);
3162 TEST_ff_f (ldexp, minus_infty, 1, minus_infty);
3163 TEST_ff_f (ldexp, nan_value, 1, nan_value);
3165 TEST_ff_f (ldexp, 0.8L, 4, 12.8L);
3166 TEST_ff_f (ldexp, -0.854375L, 5, -27.34L);
3168 /* ldexp (x, 0) == x. */
3169 TEST_ff_f (ldexp, 1.0L, 0L, 1.0L);
3178 if (errno == ENOSYS)
3179 /* Function not implemented. */
3181 feclearexcept (FE_ALL_EXCEPT);
3185 TEST_f_f (lgamma, plus_infty, plus_infty);
3186 TEST_f_f (lgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3187 TEST_f_f (lgamma, nan_value, nan_value);
3189 /* lgamma (x) == +inf plus divide by zero exception for integer x <= 0. */
3190 TEST_f_f (lgamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3191 TEST_f_f (lgamma, minus_infty, plus_infty);
3193 TEST_f_f1 (lgamma, 1, 0, 1);
3195 TEST_f_f1 (lgamma, 3, M_LN2l, 1);
3197 TEST_f_f1 (lgamma, 0.5, M_LOG_SQRT_PIl, 1);
3198 TEST_f_f1 (lgamma, -0.5, M_LOG_2_SQRT_PIl, -1);
3199 TEST_f_f1 (lgamma, 0.7L, 0.260867246531666514385732417016759578L, 1);
3200 TEST_f_f1 (lgamma, 1.2L, -0.853740900033158497197028392998854470e-1L, 1);
3210 /* XXX this test is incomplete. We need to have a way to specifiy
3211 the rounding method and test the critical cases. So far, only
3212 unproblematic numbers are tested. */
3216 TEST_f_l (lrint, 0.0, 0);
3217 TEST_f_l (lrint, minus_zero, 0);
3218 TEST_f_l (lrint, 0.2L, 0);
3219 TEST_f_l (lrint, -0.2L, 0);
3221 TEST_f_l (lrint, 1.4L, 1);
3222 TEST_f_l (lrint, -1.4L, -1);
3224 TEST_f_l (lrint, 8388600.3L, 8388600);
3225 TEST_f_l (lrint, -8388600.3L, -8388600);
3227 TEST_f_l (lrint, 1071930.0008, 1071930);
3229 TEST_f_l (lrint, 1073741824.01, 1073741824);
3230 # if LONG_MAX > 281474976710656
3231 TEST_f_l (lrint, 281474976710656.025, 281474976710656);
3242 /* XXX this test is incomplete. We need to have a way to specifiy
3243 the rounding method and test the critical cases. So far, only
3244 unproblematic numbers are tested. */
3248 TEST_f_L (llrint, 0.0, 0);
3249 TEST_f_L (llrint, minus_zero, 0);
3250 TEST_f_L (llrint, 0.2L, 0);
3251 TEST_f_L (llrint, -0.2L, 0);
3253 TEST_f_L (llrint, 1.4L, 1);
3254 TEST_f_L (llrint, -1.4L, -1);
3256 TEST_f_L (llrint, 8388600.3L, 8388600);
3257 TEST_f_L (llrint, -8388600.3L, -8388600);
3259 TEST_f_l (llrint, 1071930.0008, 1071930);
3261 /* Test boundary conditions. */
3263 TEST_f_L (llrint, 2097151.0,2097151LL);
3265 TEST_f_L (llrint, 8388608.0, 8388608LL);
3267 TEST_f_L (llrint, 16777216.0, 16777216LL);
3269 TEST_f_L (llrint, 2199023255552.0, 2199023255552LL);
3271 TEST_f_L (llrint, 4398046511104.0, 4398046511104LL);
3272 /* 0x1000000000000 */
3273 TEST_f_L (llrint, 281474976710656.0, 281474976710656LL);
3274 /* 0x10000000000000 */
3275 TEST_f_L (llrint, 4503599627370496.0, 4503599627370496LL);
3276 /* 0x10000080000000 */
3277 TEST_f_L (llrint, 4503601774854144.0, 4503601774854144LL);
3278 /* 0x20000000000000 */
3279 TEST_f_L (llrint, 9007199254740992.0, 9007199254740992LL);
3280 /* 0x80000000000000 */
3281 TEST_f_L (llrint, 36028797018963968.0, 36028797018963968LL);
3282 /* 0x100000000000000 */
3283 TEST_f_L (llrint, 72057594037927936.0, 72057594037927936LL);
3285 /* The input can only be represented in long double. */
3286 TEST_f_L (llrint, 4503599627370495.5L, 4503599627370496LL);
3287 TEST_f_L (llrint, 4503599627370496.25L, 4503599627370496LL);
3288 TEST_f_L (llrint, 4503599627370496.5L, 4503599627370496LL);
3289 TEST_f_L (llrint, 4503599627370496.75L, 4503599627370497LL);
3290 TEST_f_L (llrint, 4503599627370497.5L, 4503599627370498LL);
3292 TEST_f_L (llrint, -4503599627370495.5L, -4503599627370496LL);
3293 TEST_f_L (llrint, -4503599627370496.25L, -4503599627370496LL);
3294 TEST_f_L (llrint, -4503599627370496.5L, -4503599627370496LL);
3295 TEST_f_L (llrint, -4503599627370496.75L, -4503599627370497LL);
3296 TEST_f_L (llrint, -4503599627370497.5L, -4503599627370498LL);
3298 TEST_f_L (llrint, 9007199254740991.5L, 9007199254740992LL);
3299 TEST_f_L (llrint, 9007199254740992.25L, 9007199254740992LL);
3300 TEST_f_L (llrint, 9007199254740992.5L, 9007199254740992LL);
3301 TEST_f_L (llrint, 9007199254740992.75L, 9007199254740993LL);
3302 TEST_f_L (llrint, 9007199254740993.5L, 9007199254740994LL);
3304 TEST_f_L (llrint, -9007199254740991.5L, -9007199254740992LL);
3305 TEST_f_L (llrint, -9007199254740992.25L, -9007199254740992LL);
3306 TEST_f_L (llrint, -9007199254740992.5L, -9007199254740992LL);
3307 TEST_f_L (llrint, -9007199254740992.75L, -9007199254740993LL);
3308 TEST_f_L (llrint, -9007199254740993.5L, -9007199254740994LL);
3310 TEST_f_L (llrint, 72057594037927935.5L, 72057594037927936LL);
3311 TEST_f_L (llrint, 72057594037927936.25L, 72057594037927936LL);
3312 TEST_f_L (llrint, 72057594037927936.5L, 72057594037927936LL);
3313 TEST_f_L (llrint, 72057594037927936.75L, 72057594037927937LL);
3314 TEST_f_L (llrint, 72057594037927937.5L, 72057594037927938LL);
3316 TEST_f_L (llrint, -72057594037927935.5L, -72057594037927936LL);
3317 TEST_f_L (llrint, -72057594037927936.25L, -72057594037927936LL);
3318 TEST_f_L (llrint, -72057594037927936.5L, -72057594037927936LL);
3319 TEST_f_L (llrint, -72057594037927936.75L, -72057594037927937LL);
3320 TEST_f_L (llrint, -72057594037927937.5L, -72057594037927938LL);
3333 if (errno == ENOSYS)
3334 /* Function not implemented. */
3338 TEST_f_f (log, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3339 TEST_f_f (log, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3341 TEST_f_f (log, 1, 0);
3343 TEST_f_f (log, -1, nan_value, INVALID_EXCEPTION);
3344 TEST_f_f (log, plus_infty, plus_infty);
3346 TEST_f_f (log, M_El, 1);
3347 TEST_f_f (log, 1.0 / M_El, -1);
3348 TEST_f_f (log, 2, M_LN2l);
3349 TEST_f_f (log, 10, M_LN10l);
3350 TEST_f_f (log, 0.75L, -0.287682072451780927439219005993827432L);
3361 if (errno == ENOSYS)
3362 /* Function not implemented. */
3367 TEST_f_f (log10, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3368 TEST_f_f (log10, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3370 TEST_f_f (log10, 1, 0);
3372 /* log10 (x) == NaN plus invalid exception if x < 0. */
3373 TEST_f_f (log10, -1, nan_value, INVALID_EXCEPTION);
3375 TEST_f_f (log10, plus_infty, plus_infty);
3376 TEST_f_f (log10, nan_value, nan_value);
3378 TEST_f_f (log10, 0.1L, -1);
3379 TEST_f_f (log10, 10.0, 1);
3380 TEST_f_f (log10, 100.0, 2);
3381 TEST_f_f (log10, 10000.0, 4);
3382 TEST_f_f (log10, M_El, M_LOG10El);
3383 TEST_f_f (log10, 0.75L, -0.124938736608299953132449886193870744L);
3394 if (errno == ENOSYS)
3395 /* Function not implemented. */
3400 TEST_f_f (log1p, 0, 0);
3401 TEST_f_f (log1p, minus_zero, minus_zero);
3403 TEST_f_f (log1p, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3404 TEST_f_f (log1p, -2, nan_value, INVALID_EXCEPTION);
3406 TEST_f_f (log1p, plus_infty, plus_infty);
3407 TEST_f_f (log1p, nan_value, nan_value);
3409 TEST_f_f (log1p, M_El - 1.0, 1);
3411 TEST_f_f (log1p, -0.25L, -0.287682072451780927439219005993827432L);
3412 TEST_f_f (log1p, -0.875, -2.07944154167983592825169636437452970L);
3424 if (errno == ENOSYS)
3425 /* Function not implemented. */
3430 TEST_f_f (log2, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3431 TEST_f_f (log2, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3433 TEST_f_f (log2, 1, 0);
3435 TEST_f_f (log2, -1, nan_value, INVALID_EXCEPTION);
3437 TEST_f_f (log2, plus_infty, plus_infty);
3438 TEST_f_f (log2, nan_value, nan_value);
3440 TEST_f_f (log2, M_El, M_LOG2El);
3441 TEST_f_f (log2, 2.0, 1);
3442 TEST_f_f (log2, 16.0, 4);
3443 TEST_f_f (log2, 256.0, 8);
3444 TEST_f_f (log2, 0.75L, -.415037499278843818546261056052183492L);
3456 TEST_f_f (logb, plus_infty, plus_infty);
3457 TEST_f_f (logb, minus_infty, plus_infty);
3459 TEST_f_f (logb, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3461 TEST_f_f (logb, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3462 TEST_f_f (logb, nan_value, nan_value);
3464 TEST_f_f (logb, 1, 0);
3465 TEST_f_f (logb, M_El, 1);
3466 TEST_f_f (logb, 1024, 10);
3467 TEST_f_f (logb, -2000, 10);
3479 TEST_f_l (lround, 0, 0);
3480 TEST_f_l (lround, minus_zero, 0);
3481 TEST_f_l (lround, 0.2L, 0.0);
3482 TEST_f_l (lround, -0.2L, 0);
3483 TEST_f_l (lround, 0.5, 1);
3484 TEST_f_l (lround, -0.5, -1);
3485 TEST_f_l (lround, 0.8L, 1);
3486 TEST_f_l (lround, -0.8L, -1);
3487 TEST_f_l (lround, 1.5, 2);
3488 TEST_f_l (lround, -1.5, -2);
3489 TEST_f_l (lround, 22514.5, 22515);
3490 TEST_f_l (lround, -22514.5, -22515);
3491 TEST_f_l (lround, 1071930.0008, 1071930);
3493 TEST_f_l (lround, 1073741824.01, 1073741824);
3494 # if LONG_MAX > 281474976710656
3495 TEST_f_l (lround, 281474976710656.025, 281474976710656);
3497 TEST_f_l (lround, 2097152.5, 2097153);
3498 TEST_f_l (lround, -2097152.5, -2097153);
3509 TEST_f_L (llround, 0, 0);
3510 TEST_f_L (llround, minus_zero, 0);
3511 TEST_f_L (llround, 0.2L, 0.0);
3512 TEST_f_L (llround, -0.2L, 0);
3513 TEST_f_L (llround, 0.5, 1);
3514 TEST_f_L (llround, -0.5, -1);
3515 TEST_f_L (llround, 0.8L, 1);
3516 TEST_f_L (llround, -0.8L, -1);
3517 TEST_f_L (llround, 1.5, 2);
3518 TEST_f_L (llround, -1.5, -2);
3519 TEST_f_L (llround, 22514.5, 22515);
3520 TEST_f_L (llround, -22514.5, -22515);
3521 TEST_f_l (llround, 1071930.0008, 1071930);
3523 TEST_f_L (llround, 2097152.5, 2097153);
3524 TEST_f_L (llround, -2097152.5, -2097153);
3525 TEST_f_L (llround, 34359738368.5, 34359738369ll);
3526 TEST_f_L (llround, -34359738368.5, -34359738369ll);
3529 /* Test boundary conditions. */
3531 TEST_f_L (llround, 2097151.0, 2097151LL);
3533 TEST_f_L (llround, 8388608.0, 8388608LL);
3535 TEST_f_L (llround, 16777216.0, 16777216LL);
3537 TEST_f_L (llround, 2199023255552.0, 2199023255552LL);
3539 TEST_f_L (llround, 4398046511104.0, 4398046511104LL);
3540 /* 0x1000000000000 */
3541 TEST_f_L (llround, 281474976710656.0, 281474976710656LL);
3542 /* 0x10000000000000 */
3543 TEST_f_L (llround, 4503599627370496.0, 4503599627370496LL);
3544 /* 0x10000080000000 */
3545 TEST_f_L (llround, 4503601774854144.0, 4503601774854144LL);
3546 /* 0x20000000000000 */
3547 TEST_f_L (llround, 9007199254740992.0, 9007199254740992LL);
3548 /* 0x80000000000000 */
3549 TEST_f_L (llround, 36028797018963968.0, 36028797018963968LL);
3550 /* 0x100000000000000 */
3551 TEST_f_L (llround, 72057594037927936.0, 72057594037927936LL);
3555 TEST_f_L (llround, 4294967295.5, 4294967296LL);
3557 TEST_f_L (llround, 8589934591.5, 8589934592LL);
3561 /* The input can only be represented in long double. */
3562 TEST_f_L (llround, 4503599627370495.5L, 4503599627370496LL);
3563 TEST_f_L (llround, 4503599627370496.25L, 4503599627370496LL);
3564 TEST_f_L (llround, 4503599627370496.5L, 4503599627370497LL);
3565 TEST_f_L (llround, 4503599627370496.75L, 4503599627370497LL);
3566 TEST_f_L (llround, 4503599627370497.5L, 4503599627370498LL);
3568 TEST_f_L (llround, -4503599627370495.5L, -4503599627370496LL);
3569 TEST_f_L (llround, -4503599627370496.25L, -4503599627370496LL);
3570 TEST_f_L (llround, -4503599627370496.5L, -4503599627370497LL);
3571 TEST_f_L (llround, -4503599627370496.75L, -4503599627370497LL);
3572 TEST_f_L (llround, -4503599627370497.5L, -4503599627370498LL);
3574 TEST_f_L (llround, 9007199254740991.5L, 9007199254740992LL);
3575 TEST_f_L (llround, 9007199254740992.25L, 9007199254740992LL);
3576 TEST_f_L (llround, 9007199254740992.5L, 9007199254740993LL);
3577 TEST_f_L (llround, 9007199254740992.75L, 9007199254740993LL);
3578 TEST_f_L (llround, 9007199254740993.5L, 9007199254740994LL);
3580 TEST_f_L (llround, -9007199254740991.5L, -9007199254740992LL);
3581 TEST_f_L (llround, -9007199254740992.25L, -9007199254740992LL);
3582 TEST_f_L (llround, -9007199254740992.5L, -9007199254740993LL);
3583 TEST_f_L (llround, -9007199254740992.75L, -9007199254740993LL);
3584 TEST_f_L (llround, -9007199254740993.5L, -9007199254740994LL);
3586 TEST_f_L (llround, 72057594037927935.5L, 72057594037927936LL);
3587 TEST_f_L (llround, 72057594037927936.25L, 72057594037927936LL);
3588 TEST_f_L (llround, 72057594037927936.5L, 72057594037927937LL);
3589 TEST_f_L (llround, 72057594037927936.75L, 72057594037927937LL);
3590 TEST_f_L (llround, 72057594037927937.5L, 72057594037927938LL);
3592 TEST_f_L (llround, -72057594037927935.5L, -72057594037927936LL);
3593 TEST_f_L (llround, -72057594037927936.25L, -72057594037927936LL);
3594 TEST_f_L (llround, -72057594037927936.5L, -72057594037927937LL);
3595 TEST_f_L (llround, -72057594037927936.75L, -72057594037927937LL);
3596 TEST_f_L (llround, -72057594037927937.5L, -72057594037927938LL);
3598 TEST_f_L (llround, 9223372036854775806.25L, 9223372036854775806LL);
3599 TEST_f_L (llround, -9223372036854775806.25L, -9223372036854775806LL);
3600 TEST_f_L (llround, 9223372036854775806.5L, 9223372036854775807LL);
3601 TEST_f_L (llround, -9223372036854775806.5L, -9223372036854775807LL);
3602 TEST_f_L (llround, 9223372036854775807.0L, 9223372036854775807LL);
3603 TEST_f_L (llround, -9223372036854775807.0L, -9223372036854775807LL);
3617 TEST_fF_f1 (modf, plus_infty, 0, plus_infty);
3618 TEST_fF_f1 (modf, minus_infty, minus_zero, minus_infty);
3619 TEST_fF_f1 (modf, nan_value, nan_value, nan_value);
3620 TEST_fF_f1 (modf, 0, 0, 0);
3621 TEST_fF_f1 (modf, 1.5, 0.5, 1);
3622 TEST_fF_f1 (modf, 2.5, 0.5, 2);
3623 TEST_fF_f1 (modf, -2.5, -0.5, -2);
3624 TEST_fF_f1 (modf, 20, 0, 20);
3625 TEST_fF_f1 (modf, 21, 0, 21);
3626 TEST_fF_f1 (modf, 89.5, 0.5, 89);
3634 nearbyint_test (void)
3638 TEST_f_f (nearbyint, 0.0, 0.0);
3639 TEST_f_f (nearbyint, minus_zero, minus_zero);
3640 TEST_f_f (nearbyint, plus_infty, plus_infty);
3641 TEST_f_f (nearbyint, minus_infty, minus_infty);
3642 TEST_f_f (nearbyint, nan_value, nan_value);
3644 /* Default rounding mode is round to nearest. */
3645 TEST_f_f (nearbyint, 0.5, 0.0);
3646 TEST_f_f (nearbyint, 1.5, 2.0);
3647 TEST_f_f (nearbyint, -0.5, minus_zero);
3648 TEST_f_f (nearbyint, -1.5, -2.0);
3654 nextafter_test (void)
3659 TEST_ff_f (nextafter, 0, 0, 0);
3660 TEST_ff_f (nextafter, minus_zero, 0, 0);
3661 TEST_ff_f (nextafter, 0, minus_zero, minus_zero);
3662 TEST_ff_f (nextafter, minus_zero, minus_zero, minus_zero);
3664 TEST_ff_f (nextafter, 9, 9, 9);
3665 TEST_ff_f (nextafter, -9, -9, -9);
3666 TEST_ff_f (nextafter, plus_infty, plus_infty, plus_infty);
3667 TEST_ff_f (nextafter, minus_infty, minus_infty, minus_infty);
3669 TEST_ff_f (nextafter, nan_value, 1.1L, nan_value);
3670 TEST_ff_f (nextafter, 1.1L, nan_value, nan_value);
3671 TEST_ff_f (nextafter, nan_value, nan_value, nan_value);
3673 FLOAT fltmax = CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX,
3674 LDBL_MAX, DBL_MAX, FLT_MAX);
3675 TEST_ff_f (nextafter, fltmax, plus_infty, plus_infty);
3676 TEST_ff_f (nextafter, -fltmax, minus_infty, minus_infty);
3679 // XXX Enable once gcc is fixed.
3680 //TEST_ff_f (nextafter, 0x0.00000040000000000000p-16385L, -0.1L, 0x0.0000003ffffffff00000p-16385L);
3683 /* XXX We need the hexadecimal FP number representation here for further
3691 nexttoward_test (void)
3694 TEST_ff_f (nexttoward, 0, 0, 0);
3695 TEST_ff_f (nexttoward, minus_zero, 0, 0);
3696 TEST_ff_f (nexttoward, 0, minus_zero, minus_zero);
3697 TEST_ff_f (nexttoward, minus_zero, minus_zero, minus_zero);
3699 TEST_ff_f (nexttoward, 9, 9, 9);
3700 TEST_ff_f (nexttoward, -9, -9, -9);
3701 TEST_ff_f (nexttoward, plus_infty, plus_infty, plus_infty);
3702 TEST_ff_f (nexttoward, minus_infty, minus_infty, minus_infty);
3704 TEST_ff_f (nexttoward, nan_value, 1.1L, nan_value);
3705 TEST_ff_f (nexttoward, 1.1L, nan_value, nan_value);
3706 TEST_ff_f (nexttoward, nan_value, nan_value, nan_value);
3708 /* XXX We need the hexadecimal FP number representation here for further
3722 if (errno == ENOSYS)
3723 /* Function not implemented. */
3728 TEST_ff_f (pow, 0, 0, 1);
3729 TEST_ff_f (pow, 0, minus_zero, 1);
3730 TEST_ff_f (pow, minus_zero, 0, 1);
3731 TEST_ff_f (pow, minus_zero, minus_zero, 1);
3733 TEST_ff_f (pow, 10, 0, 1);
3734 TEST_ff_f (pow, 10, minus_zero, 1);
3735 TEST_ff_f (pow, -10, 0, 1);
3736 TEST_ff_f (pow, -10, minus_zero, 1);
3738 TEST_ff_f (pow, nan_value, 0, 1);
3739 TEST_ff_f (pow, nan_value, minus_zero, 1);
3743 TEST_ff_f (pow, 1.1L, plus_infty, plus_infty);
3744 TEST_ff_f (pow, plus_infty, plus_infty, plus_infty);
3745 TEST_ff_f (pow, -1.1L, plus_infty, plus_infty);
3746 TEST_ff_f (pow, minus_infty, plus_infty, plus_infty);
3748 TEST_ff_f (pow, 0.9L, plus_infty, 0);
3749 TEST_ff_f (pow, 1e-7L, plus_infty, 0);
3750 TEST_ff_f (pow, -0.9L, plus_infty, 0);
3751 TEST_ff_f (pow, -1e-7L, plus_infty, 0);
3753 TEST_ff_f (pow, 1.1L, minus_infty, 0);
3754 TEST_ff_f (pow, plus_infty, minus_infty, 0);
3755 TEST_ff_f (pow, -1.1L, minus_infty, 0);
3756 TEST_ff_f (pow, minus_infty, minus_infty, 0);
3758 TEST_ff_f (pow, 0.9L, minus_infty, plus_infty);
3759 TEST_ff_f (pow, 1e-7L, minus_infty, plus_infty);
3760 TEST_ff_f (pow, -0.9L, minus_infty, plus_infty);
3761 TEST_ff_f (pow, -1e-7L, minus_infty, plus_infty);
3763 TEST_ff_f (pow, plus_infty, 1e-7L, plus_infty);
3764 TEST_ff_f (pow, plus_infty, 1, plus_infty);
3765 TEST_ff_f (pow, plus_infty, 1e7L, plus_infty);
3767 TEST_ff_f (pow, plus_infty, -1e-7L, 0);
3768 TEST_ff_f (pow, plus_infty, -1, 0);
3769 TEST_ff_f (pow, plus_infty, -1e7L, 0);
3771 TEST_ff_f (pow, minus_infty, 1, minus_infty);
3772 TEST_ff_f (pow, minus_infty, 11, minus_infty);
3773 TEST_ff_f (pow, minus_infty, 1001, minus_infty);
3775 TEST_ff_f (pow, minus_infty, 2, plus_infty);
3776 TEST_ff_f (pow, minus_infty, 12, plus_infty);
3777 TEST_ff_f (pow, minus_infty, 1002, plus_infty);
3778 TEST_ff_f (pow, minus_infty, 0.1L, plus_infty);
3779 TEST_ff_f (pow, minus_infty, 1.1L, plus_infty);
3780 TEST_ff_f (pow, minus_infty, 11.1L, plus_infty);
3781 TEST_ff_f (pow, minus_infty, 1001.1L, plus_infty);
3783 TEST_ff_f (pow, minus_infty, -1, minus_zero);
3784 TEST_ff_f (pow, minus_infty, -11, minus_zero);
3785 TEST_ff_f (pow, minus_infty, -1001, minus_zero);
3787 TEST_ff_f (pow, minus_infty, -2, 0);
3788 TEST_ff_f (pow, minus_infty, -12, 0);
3789 TEST_ff_f (pow, minus_infty, -1002, 0);
3790 TEST_ff_f (pow, minus_infty, -0.1L, 0);
3791 TEST_ff_f (pow, minus_infty, -1.1L, 0);
3792 TEST_ff_f (pow, minus_infty, -11.1L, 0);
3793 TEST_ff_f (pow, minus_infty, -1001.1L, 0);
3796 TEST_ff_f (pow, nan_value, nan_value, nan_value);
3797 TEST_ff_f (pow, 0, nan_value, nan_value);
3798 TEST_ff_f (pow, 1, nan_value, 1);
3799 TEST_ff_f (pow, -1, nan_value, nan_value);
3800 TEST_ff_f (pow, nan_value, 1, nan_value);
3801 TEST_ff_f (pow, nan_value, -1, nan_value);
3803 /* pow (x, NaN) == NaN. */
3804 TEST_ff_f (pow, 3.0, nan_value, nan_value);
3806 TEST_ff_f (pow, 1, plus_infty, 1);
3807 TEST_ff_f (pow, -1, plus_infty, 1);
3808 TEST_ff_f (pow, 1, minus_infty, 1);
3809 TEST_ff_f (pow, -1, minus_infty, 1);
3810 TEST_ff_f (pow, 1, 1, 1);
3811 TEST_ff_f (pow, 1, -1, 1);
3812 TEST_ff_f (pow, 1, 1.25, 1);
3813 TEST_ff_f (pow, 1, -1.25, 1);
3814 TEST_ff_f (pow, 1, 0x1p62L, 1);
3815 TEST_ff_f (pow, 1, 0x1p63L, 1);
3816 TEST_ff_f (pow, 1, 0x1p64L, 1);
3817 TEST_ff_f (pow, 1, 0x1p72L, 1);
3819 /* pow (x, +-0) == 1. */
3820 TEST_ff_f (pow, plus_infty, 0, 1);
3821 TEST_ff_f (pow, plus_infty, minus_zero, 1);
3822 TEST_ff_f (pow, minus_infty, 0, 1);
3823 TEST_ff_f (pow, minus_infty, minus_zero, 1);
3824 TEST_ff_f (pow, 32.75L, 0, 1);
3825 TEST_ff_f (pow, 32.75L, minus_zero, 1);
3826 TEST_ff_f (pow, -32.75L, 0, 1);
3827 TEST_ff_f (pow, -32.75L, minus_zero, 1);
3828 TEST_ff_f (pow, 0x1p72L, 0, 1);
3829 TEST_ff_f (pow, 0x1p72L, minus_zero, 1);
3830 TEST_ff_f (pow, 0x1p-72L, 0, 1);
3831 TEST_ff_f (pow, 0x1p-72L, minus_zero, 1);
3833 TEST_ff_f (pow, -0.1L, 1.1L, nan_value, INVALID_EXCEPTION);
3834 TEST_ff_f (pow, -0.1L, -1.1L, nan_value, INVALID_EXCEPTION);
3835 TEST_ff_f (pow, -10.1L, 1.1L, nan_value, INVALID_EXCEPTION);
3836 TEST_ff_f (pow, -10.1L, -1.1L, nan_value, INVALID_EXCEPTION);
3838 TEST_ff_f (pow, 0, -1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3839 TEST_ff_f (pow, 0, -11, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3840 TEST_ff_f (pow, minus_zero, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3841 TEST_ff_f (pow, minus_zero, -11, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3843 TEST_ff_f (pow, 0, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3844 TEST_ff_f (pow, 0, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3845 TEST_ff_f (pow, minus_zero, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3846 TEST_ff_f (pow, minus_zero, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
3848 TEST_ff_f (pow, 0x1p72L, 0x1p72L, plus_infty);
3849 TEST_ff_f (pow, 10, -0x1p72L, 0);
3850 TEST_ff_f (pow, max_value, max_value, plus_infty);
3851 TEST_ff_f (pow, 10, -max_value, 0);
3853 TEST_ff_f (pow, 0, 1, 0);
3854 TEST_ff_f (pow, 0, 11, 0);
3856 TEST_ff_f (pow, minus_zero, 1, minus_zero);
3857 TEST_ff_f (pow, minus_zero, 11, minus_zero);
3860 TEST_ff_f (pow, 0, 2, 0);
3861 TEST_ff_f (pow, 0, 11.1L, 0);
3864 TEST_ff_f (pow, minus_zero, 2, 0);
3865 TEST_ff_f (pow, minus_zero, 11.1L, 0);
3866 TEST_ff_f (pow, 0, plus_infty, 0);
3867 TEST_ff_f (pow, minus_zero, plus_infty, 0);
3870 /* pow (x, +inf) == +inf for |x| > 1. */
3871 TEST_ff_f (pow, 1.5, plus_infty, plus_infty);
3873 /* pow (x, +inf) == +0 for |x| < 1. */
3874 TEST_ff_f (pow, 0.5, plus_infty, 0.0);
3876 /* pow (x, -inf) == +0 for |x| > 1. */
3877 TEST_ff_f (pow, 1.5, minus_infty, 0.0);
3879 /* pow (x, -inf) == +inf for |x| < 1. */
3880 TEST_ff_f (pow, 0.5, minus_infty, plus_infty);
3883 /* pow (+inf, y) == +inf for y > 0. */
3884 TEST_ff_f (pow, plus_infty, 2, plus_infty);
3886 /* pow (+inf, y) == +0 for y < 0. */
3887 TEST_ff_f (pow, plus_infty, -1, 0.0);
3889 /* pow (-inf, y) == -inf for y an odd integer > 0. */
3890 TEST_ff_f (pow, minus_infty, 27, minus_infty);
3892 /* pow (-inf, y) == +inf for y > 0 and not an odd integer. */
3893 TEST_ff_f (pow, minus_infty, 28, plus_infty);
3895 /* pow (-inf, y) == -0 for y an odd integer < 0. */
3896 TEST_ff_f (pow, minus_infty, -3, minus_zero);
3897 /* pow (-inf, y) == +0 for y < 0 and not an odd integer. */
3898 TEST_ff_f (pow, minus_infty, -2.0, 0.0);
3900 /* pow (+0, y) == +0 for y an odd integer > 0. */
3901 TEST_ff_f (pow, 0.0, 27, 0.0);
3903 /* pow (-0, y) == -0 for y an odd integer > 0. */
3904 TEST_ff_f (pow, minus_zero, 27, minus_zero);
3906 /* pow (+0, y) == +0 for y > 0 and not an odd integer. */
3907 TEST_ff_f (pow, 0.0, 4, 0.0);
3909 /* pow (-0, y) == +0 for y > 0 and not an odd integer. */
3910 TEST_ff_f (pow, minus_zero, 4, 0.0);
3912 TEST_ff_f (pow, 16, 0.25L, 2);
3913 TEST_ff_f (pow, 0x1p64L, 0.125L, 256);
3914 TEST_ff_f (pow, 2, 4, 16);
3915 TEST_ff_f (pow, 256, 8, 0x1p64L);
3917 TEST_ff_f (pow, 0.75L, 1.25L, 0.697953644326574699205914060237425566L);
3919 #if defined TEST_DOUBLE || defined TEST_LDOUBLE
3920 TEST_ff_f (pow, -7.49321e+133, -9.80818e+16, 0);
3927 remainder_test (void)
3930 FUNC(remainder) (1.625, 1.0);
3931 if (errno == ENOSYS)
3932 /* Function not implemented. */
3937 TEST_ff_f (remainder, 1, 0, nan_value, INVALID_EXCEPTION);
3938 TEST_ff_f (remainder, 1, minus_zero, nan_value, INVALID_EXCEPTION);
3939 TEST_ff_f (remainder, plus_infty, 1, nan_value, INVALID_EXCEPTION);
3940 TEST_ff_f (remainder, minus_infty, 1, nan_value, INVALID_EXCEPTION);
3941 TEST_ff_f (remainder, nan_value, nan_value, nan_value);
3943 TEST_ff_f (remainder, 1.625, 1.0, -0.375);
3944 TEST_ff_f (remainder, -1.625, 1.0, 0.375);
3945 TEST_ff_f (remainder, 1.625, -1.0, -0.375);
3946 TEST_ff_f (remainder, -1.625, -1.0, 0.375);
3947 TEST_ff_f (remainder, 5.0, 2.0, 1.0);
3948 TEST_ff_f (remainder, 3.0, 2.0, -1.0);
3961 FUNC(remquo) (1.625, 1.0, &x);
3962 if (errno == ENOSYS)
3963 /* Function not implemented. */
3968 TEST_ffI_f1 (remquo, 1, 0, nan_value, IGNORE, INVALID_EXCEPTION);
3969 TEST_ffI_f1 (remquo, 1, minus_zero, nan_value, IGNORE, INVALID_EXCEPTION);
3970 TEST_ffI_f1 (remquo, plus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION);
3971 TEST_ffI_f1 (remquo, minus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION);
3972 TEST_ffI_f1 (remquo, nan_value, nan_value, nan_value, IGNORE);
3974 TEST_ffI_f1 (remquo, 1.625, 1.0, -0.375, 2);
3975 TEST_ffI_f1 (remquo, -1.625, 1.0, 0.375, -2);
3976 TEST_ffI_f1 (remquo, 1.625, -1.0, -0.375, -2);
3977 TEST_ffI_f1 (remquo, -1.625, -1.0, 0.375, 2);
3979 TEST_ffI_f1 (remquo, 5, 2, 1, 2);
3980 TEST_ffI_f1 (remquo, 3, 2, -1, 2);
3991 TEST_f_f (rint, 0.0, 0.0);
3992 TEST_f_f (rint, minus_zero, minus_zero);
3993 TEST_f_f (rint, plus_infty, plus_infty);
3994 TEST_f_f (rint, minus_infty, minus_infty);
3996 /* Default rounding mode is round to even. */
3997 TEST_f_f (rint, 0.5, 0.0);
3998 TEST_f_f (rint, 1.5, 2.0);
3999 TEST_f_f (rint, 2.5, 2.0);
4000 TEST_f_f (rint, 3.5, 4.0);
4001 TEST_f_f (rint, 4.5, 4.0);
4002 TEST_f_f (rint, -0.5, -0.0);
4003 TEST_f_f (rint, -1.5, -2.0);
4004 TEST_f_f (rint, -2.5, -2.0);
4005 TEST_f_f (rint, -3.5, -4.0);
4006 TEST_f_f (rint, -4.5, -4.0);
4008 /* The result can only be represented in long double. */
4009 TEST_f_f (rint, 4503599627370495.5L, 4503599627370496.0L);
4010 TEST_f_f (rint, 4503599627370496.25L, 4503599627370496.0L);
4011 TEST_f_f (rint, 4503599627370496.5L, 4503599627370496.0L);
4012 TEST_f_f (rint, 4503599627370496.75L, 4503599627370497.0L);
4013 TEST_f_f (rint, 4503599627370497.5L, 4503599627370498.0L);
4015 TEST_f_f (rint, -4503599627370495.5L, -4503599627370496.0L);
4016 TEST_f_f (rint, -4503599627370496.25L, -4503599627370496.0L);
4017 TEST_f_f (rint, -4503599627370496.5L, -4503599627370496.0L);
4018 TEST_f_f (rint, -4503599627370496.75L, -4503599627370497.0L);
4019 TEST_f_f (rint, -4503599627370497.5L, -4503599627370498.0L);
4021 TEST_f_f (rint, 9007199254740991.5L, 9007199254740992.0L);
4022 TEST_f_f (rint, 9007199254740992.25L, 9007199254740992.0L);
4023 TEST_f_f (rint, 9007199254740992.5L, 9007199254740992.0L);
4024 TEST_f_f (rint, 9007199254740992.75L, 9007199254740993.0L);
4025 TEST_f_f (rint, 9007199254740993.5L, 9007199254740994.0L);
4027 TEST_f_f (rint, -9007199254740991.5L, -9007199254740992.0L);
4028 TEST_f_f (rint, -9007199254740992.25L, -9007199254740992.0L);
4029 TEST_f_f (rint, -9007199254740992.5L, -9007199254740992.0L);
4030 TEST_f_f (rint, -9007199254740992.75L, -9007199254740993.0L);
4031 TEST_f_f (rint, -9007199254740993.5L, -9007199254740994.0L);
4033 TEST_f_f (rint, 72057594037927935.5L, 72057594037927936.0L);
4034 TEST_f_f (rint, 72057594037927936.25L, 72057594037927936.0L);
4035 TEST_f_f (rint, 72057594037927936.5L, 72057594037927936.0L);
4036 TEST_f_f (rint, 72057594037927936.75L, 72057594037927937.0L);
4037 TEST_f_f (rint, 72057594037927937.5L, 72057594037927938.0L);
4039 TEST_f_f (rint, -72057594037927935.5L, -72057594037927936.0L);
4040 TEST_f_f (rint, -72057594037927936.25L, -72057594037927936.0L);
4041 TEST_f_f (rint, -72057594037927936.5L, -72057594037927936.0L);
4042 TEST_f_f (rint, -72057594037927936.75L, -72057594037927937.0L);
4043 TEST_f_f (rint, -72057594037927937.5L, -72057594037927938.0L);
4045 TEST_f_f (rint, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
4046 TEST_f_f (rint, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4047 TEST_f_f (rint, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
4048 TEST_f_f (rint, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
4049 TEST_f_f (rint, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
4057 rint_test_tonearest (void)
4059 int save_round_mode;
4060 START (rint_tonearest);
4062 save_round_mode = fegetround();
4064 if (!fesetround (FE_TONEAREST))
4066 TEST_f_f (rint, 2.0, 2.0);
4067 TEST_f_f (rint, 1.5, 2.0);
4068 TEST_f_f (rint, 1.0, 1.0);
4069 TEST_f_f (rint, 0.5, 0.0);
4070 TEST_f_f (rint, 0.0, 0.0);
4071 TEST_f_f (rint, minus_zero, minus_zero);
4072 TEST_f_f (rint, -0.5, -0.0);
4073 TEST_f_f (rint, -1.0, -1.0);
4074 TEST_f_f (rint, -1.5, -2.0);
4075 TEST_f_f (rint, -2.0, -2.0);
4078 fesetround(save_round_mode);
4080 END (rint_tonearest);
4084 rint_test_towardzero (void)
4086 int save_round_mode;
4087 START (rint_towardzero);
4089 save_round_mode = fegetround();
4091 if (!fesetround (FE_TOWARDZERO))
4093 TEST_f_f (rint, 2.0, 2.0);
4094 TEST_f_f (rint, 1.5, 1.0);
4095 TEST_f_f (rint, 1.0, 1.0);
4096 TEST_f_f (rint, 0.5, 0.0);
4097 TEST_f_f (rint, 0.0, 0.0);
4098 TEST_f_f (rint, minus_zero, minus_zero);
4099 TEST_f_f (rint, -0.5, -0.0);
4100 TEST_f_f (rint, -1.0, -1.0);
4101 TEST_f_f (rint, -1.5, -1.0);
4102 TEST_f_f (rint, -2.0, -2.0);
4105 fesetround(save_round_mode);
4107 END (rint_towardzero);
4111 rint_test_downward (void)
4113 int save_round_mode;
4114 START (rint_downward);
4116 save_round_mode = fegetround();
4118 if (!fesetround (FE_DOWNWARD))
4120 TEST_f_f (rint, 2.0, 2.0);
4121 TEST_f_f (rint, 1.5, 1.0);
4122 TEST_f_f (rint, 1.0, 1.0);
4123 TEST_f_f (rint, 0.5, 0.0);
4124 TEST_f_f (rint, 0.0, 0.0);
4125 TEST_f_f (rint, minus_zero, minus_zero);
4126 TEST_f_f (rint, -0.5, -1.0);
4127 TEST_f_f (rint, -1.0, -1.0);
4128 TEST_f_f (rint, -1.5, -2.0);
4129 TEST_f_f (rint, -2.0, -2.0);
4132 fesetround(save_round_mode);
4134 END (rint_downward);
4138 rint_test_upward (void)
4140 int save_round_mode;
4141 START (rint_upward);
4143 save_round_mode = fegetround();
4145 if (!fesetround (FE_UPWARD))
4147 TEST_f_f (rint, 2.0, 2.0);
4148 TEST_f_f (rint, 1.5, 2.0);
4149 TEST_f_f (rint, 1.0, 1.0);
4150 TEST_f_f (rint, 0.5, 1.0);
4151 TEST_f_f (rint, 0.0, 0.0);
4152 TEST_f_f (rint, minus_zero, minus_zero);
4153 TEST_f_f (rint, -0.5, -0.0);
4154 TEST_f_f (rint, -1.0, -1.0);
4155 TEST_f_f (rint, -1.5, -1.0);
4156 TEST_f_f (rint, -2.0, -2.0);
4159 fesetround(save_round_mode);
4169 TEST_f_f (round, 0, 0);
4170 TEST_f_f (round, minus_zero, minus_zero);
4171 TEST_f_f (round, 0.2L, 0.0);
4172 TEST_f_f (round, -0.2L, minus_zero);
4173 TEST_f_f (round, 0.5, 1.0);
4174 TEST_f_f (round, -0.5, -1.0);
4175 TEST_f_f (round, 0.8L, 1.0);
4176 TEST_f_f (round, -0.8L, -1.0);
4177 TEST_f_f (round, 1.5, 2.0);
4178 TEST_f_f (round, -1.5, -2.0);
4179 TEST_f_f (round, 2097152.5, 2097153);
4180 TEST_f_f (round, -2097152.5, -2097153);
4183 /* The result can only be represented in long double. */
4184 TEST_f_f (round, 4503599627370495.5L, 4503599627370496.0L);
4185 TEST_f_f (round, 4503599627370496.25L, 4503599627370496.0L);
4186 TEST_f_f (round, 4503599627370496.5L, 4503599627370497.0L);
4187 TEST_f_f (round, 4503599627370496.75L, 4503599627370497.0L);
4188 TEST_f_f (round, 4503599627370497.5L, 4503599627370498.0L);
4190 TEST_f_f (round, -4503599627370495.5L, -4503599627370496.0L);
4191 TEST_f_f (round, -4503599627370496.25L, -4503599627370496.0L);
4192 TEST_f_f (round, -4503599627370496.5L, -4503599627370497.0L);
4193 TEST_f_f (round, -4503599627370496.75L, -4503599627370497.0L);
4194 TEST_f_f (round, -4503599627370497.5L, -4503599627370498.0L);
4196 TEST_f_f (round, 9007199254740991.5L, 9007199254740992.0L);
4197 TEST_f_f (round, 9007199254740992.25L, 9007199254740992.0L);
4198 TEST_f_f (round, 9007199254740992.5L, 9007199254740993.0L);
4199 TEST_f_f (round, 9007199254740992.75L, 9007199254740993.0L);
4200 TEST_f_f (round, 9007199254740993.5L, 9007199254740994.0L);
4202 TEST_f_f (round, -9007199254740991.5L, -9007199254740992.0L);
4203 TEST_f_f (round, -9007199254740992.25L, -9007199254740992.0L);
4204 TEST_f_f (round, -9007199254740992.5L, -9007199254740993.0L);
4205 TEST_f_f (round, -9007199254740992.75L, -9007199254740993.0L);
4206 TEST_f_f (round, -9007199254740993.5L, -9007199254740994.0L);
4208 TEST_f_f (round, 72057594037927935.5L, 72057594037927936.0L);
4209 TEST_f_f (round, 72057594037927936.25L, 72057594037927936.0L);
4210 TEST_f_f (round, 72057594037927936.5L, 72057594037927937.0L);
4211 TEST_f_f (round, 72057594037927936.75L, 72057594037927937.0L);
4212 TEST_f_f (round, 72057594037927937.5L, 72057594037927938.0L);
4214 TEST_f_f (round, -72057594037927935.5L, -72057594037927936.0L);
4215 TEST_f_f (round, -72057594037927936.25L, -72057594037927936.0L);
4216 TEST_f_f (round, -72057594037927936.5L, -72057594037927937.0L);
4217 TEST_f_f (round, -72057594037927936.75L, -72057594037927937.0L);
4218 TEST_f_f (round, -72057594037927937.5L, -72057594037927938.0L);
4220 TEST_f_f (round, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L);
4221 TEST_f_f (round, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4222 TEST_f_f (round, 10141204801825835211973625643008.5L, 10141204801825835211973625643009.0L);
4223 TEST_f_f (round, 10141204801825835211973625643008.75L, 10141204801825835211973625643009.0L);
4224 TEST_f_f (round, 10141204801825835211973625643009.5L, 10141204801825835211973625643010.0L);
4236 #ifndef TEST_LDOUBLE /* uclibc doesn't have scalbl */
4237 #ifdef __UCLIBC_SUSV3_LEGACY__ /* scalbf is susv3 legacy */
4239 TEST_ff_f (scalb, 2.0, 0.5, nan_value, INVALID_EXCEPTION);
4240 TEST_ff_f (scalb, 3.0, -2.5, nan_value, INVALID_EXCEPTION);
4242 TEST_ff_f (scalb, 0, nan_value, nan_value);
4243 TEST_ff_f (scalb, 1, nan_value, nan_value);
4245 TEST_ff_f (scalb, 1, 0, 1);
4246 TEST_ff_f (scalb, -1, 0, -1);
4248 TEST_ff_f (scalb, 0, plus_infty, nan_value, INVALID_EXCEPTION);
4249 TEST_ff_f (scalb, minus_zero, plus_infty, nan_value, INVALID_EXCEPTION);
4251 TEST_ff_f (scalb, 0, 2, 0);
4252 TEST_ff_f (scalb, minus_zero, -4, minus_zero);
4253 TEST_ff_f (scalb, 0, 0, 0);
4254 TEST_ff_f (scalb, minus_zero, 0, minus_zero);
4255 TEST_ff_f (scalb, 0, -1, 0);
4256 TEST_ff_f (scalb, minus_zero, -10, minus_zero);
4257 TEST_ff_f (scalb, 0, minus_infty, 0);
4258 TEST_ff_f (scalb, minus_zero, minus_infty, minus_zero);
4260 TEST_ff_f (scalb, plus_infty, -1, plus_infty);
4261 TEST_ff_f (scalb, minus_infty, -10, minus_infty);
4262 TEST_ff_f (scalb, plus_infty, 0, plus_infty);
4263 TEST_ff_f (scalb, minus_infty, 0, minus_infty);
4264 TEST_ff_f (scalb, plus_infty, 2, plus_infty);
4265 TEST_ff_f (scalb, minus_infty, 100, minus_infty);
4267 TEST_ff_f (scalb, 0.1L, minus_infty, 0.0);
4268 TEST_ff_f (scalb, -0.1L, minus_infty, minus_zero);
4270 TEST_ff_f (scalb, 1, plus_infty, plus_infty);
4271 TEST_ff_f (scalb, -1, plus_infty, minus_infty);
4272 TEST_ff_f (scalb, plus_infty, plus_infty, plus_infty);
4273 TEST_ff_f (scalb, minus_infty, plus_infty, minus_infty);
4275 TEST_ff_f (scalb, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
4276 TEST_ff_f (scalb, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
4278 TEST_ff_f (scalb, nan_value, 1, nan_value);
4279 TEST_ff_f (scalb, 1, nan_value, nan_value);
4280 TEST_ff_f (scalb, nan_value, 0, nan_value);
4281 TEST_ff_f (scalb, 0, nan_value, nan_value);
4282 TEST_ff_f (scalb, nan_value, plus_infty, nan_value);
4283 TEST_ff_f (scalb, plus_infty, nan_value, nan_value);
4284 TEST_ff_f (scalb, nan_value, nan_value, nan_value);
4286 TEST_ff_f (scalb, 0.8L, 4, 12.8L);
4287 TEST_ff_f (scalb, -0.854375L, 5, -27.34L);
4288 #endif /* __UCLIBC_SUSV3_LEGACY__ */
4289 #endif /* TEST_LDOUBLE */
4300 TEST_fi_f (scalbn, 0, 0, 0);
4301 TEST_fi_f (scalbn, minus_zero, 0, minus_zero);
4303 TEST_fi_f (scalbn, plus_infty, 1, plus_infty);
4304 TEST_fi_f (scalbn, minus_infty, 1, minus_infty);
4305 TEST_fi_f (scalbn, nan_value, 1, nan_value);
4307 TEST_fi_f (scalbn, 0.8L, 4, 12.8L);
4308 TEST_fi_f (scalbn, -0.854375L, 5, -27.34L);
4310 TEST_fi_f (scalbn, 1, 0L, 1);
4323 TEST_fl_f (scalbln, 0, 0, 0);
4324 TEST_fl_f (scalbln, minus_zero, 0, minus_zero);
4326 TEST_fl_f (scalbln, plus_infty, 1, plus_infty);
4327 TEST_fl_f (scalbln, minus_infty, 1, minus_infty);
4328 TEST_fl_f (scalbln, nan_value, 1, nan_value);
4330 TEST_fl_f (scalbln, 0.8L, 4, 12.8L);
4331 TEST_fl_f (scalbln, -0.854375L, 5, -27.34L);
4333 TEST_fl_f (scalbln, 1, 0L, 1);
4346 TEST_f_b (signbit, 0, 0);
4347 TEST_f_b (signbit, minus_zero, 1);
4348 TEST_f_b (signbit, plus_infty, 0);
4349 TEST_f_b (signbit, minus_infty, 1);
4351 /* signbit (x) != 0 for x < 0. */
4352 TEST_f_b (signbit, -1, 1);
4353 /* signbit (x) == 0 for x >= 0. */
4354 TEST_f_b (signbit, 1, 0);
4365 if (errno == ENOSYS)
4366 /* Function not implemented. */
4371 TEST_f_f (sin, 0, 0);
4372 TEST_f_f (sin, minus_zero, minus_zero);
4373 TEST_f_f (sin, plus_infty, nan_value, INVALID_EXCEPTION);
4374 TEST_f_f (sin, minus_infty, nan_value, INVALID_EXCEPTION);
4375 TEST_f_f (sin, nan_value, nan_value);
4377 TEST_f_f (sin, M_PI_6l, 0.5);
4378 TEST_f_f (sin, -M_PI_6l, -0.5);
4379 TEST_f_f (sin, M_PI_2l, 1);
4380 TEST_f_f (sin, -M_PI_2l, -1);
4381 TEST_f_f (sin, 0.75L, 0.681638760023334166733241952779893935L);
4384 TEST_f_f (sin, 0.80190127184058835, 0.71867942238767868);
4396 FLOAT sin_res, cos_res;
4399 FUNC(sincos) (0, &sin_res, &cos_res);
4400 if (errno == ENOSYS)
4401 /* Function not implemented. */
4406 /* sincos is treated differently because it returns void. */
4407 TEST_extra (sincos, 0, 0, 1);
4409 TEST_extra (sincos, minus_zero, minus_zero, 1);
4410 TEST_extra (sincos, plus_infty, nan_value, nan_value, INVALID_EXCEPTION);
4411 TEST_extra (sincos, minus_infty, nan_value, nan_value, INVALID_EXCEPTION);
4412 TEST_extra (sincos, nan_value, nan_value, nan_value);
4414 TEST_extra (sincos, M_PI_2l, 1, 0);
4415 TEST_extra (sincos, M_PI_6l, 0.5, 0.86602540378443864676372317075293616L);
4416 TEST_extra (sincos, M_PI_6l*2.0, 0.86602540378443864676372317075293616L, 0.5);
4417 TEST_extra (sincos, 0.75L, 0.681638760023334166733241952779893935L, 0.731688868873820886311838753000084544L);
4420 TEST_extra (sincos, 0.80190127184058835, 0.71867942238767868, 0.69534156199418473);
4432 if (errno == ENOSYS)
4433 /* Function not implemented. */
4437 TEST_f_f (sinh, 0, 0);
4438 TEST_f_f (sinh, minus_zero, minus_zero);
4441 TEST_f_f (sinh, plus_infty, plus_infty);
4442 TEST_f_f (sinh, minus_infty, minus_infty);
4444 TEST_f_f (sinh, nan_value, nan_value);
4446 TEST_f_f (sinh, 0.75L, 0.822316731935829980703661634446913849L);
4447 TEST_f_f (sinh, 0x8p-32L, 1.86264514923095703232705808926175479e-9L);
4457 if (errno == ENOSYS)
4458 /* Function not implemented. */
4463 TEST_f_f (sqrt, 0, 0);
4464 TEST_f_f (sqrt, nan_value, nan_value);
4465 TEST_f_f (sqrt, plus_infty, plus_infty);
4467 TEST_f_f (sqrt, minus_zero, minus_zero);
4469 /* sqrt (x) == NaN plus invalid exception for x < 0. */
4470 TEST_f_f (sqrt, -1, nan_value, INVALID_EXCEPTION);
4471 TEST_f_f (sqrt, minus_infty, nan_value, INVALID_EXCEPTION);
4472 TEST_f_f (sqrt, nan_value, nan_value);
4474 TEST_f_f (sqrt, 2209, 47);
4475 TEST_f_f (sqrt, 4, 2);
4476 TEST_f_f (sqrt, 2, M_SQRT2l);
4477 TEST_f_f (sqrt, 0.25, 0.5);
4478 TEST_f_f (sqrt, 6642.25, 81.5);
4479 TEST_f_f (sqrt, 15190.5625L, 123.25L);
4480 TEST_f_f (sqrt, 0.75L, 0.866025403784438646763723170752936183L);
4491 if (errno == ENOSYS)
4492 /* Function not implemented. */
4497 TEST_f_f (tan, 0, 0);
4498 TEST_f_f (tan, minus_zero, minus_zero);
4499 TEST_f_f (tan, plus_infty, nan_value, INVALID_EXCEPTION);
4500 TEST_f_f (tan, minus_infty, nan_value, INVALID_EXCEPTION);
4501 TEST_f_f (tan, nan_value, nan_value);
4503 TEST_f_f (tan, M_PI_4l, 1);
4504 TEST_f_f (tan, 0.75L, 0.931596459944072461165202756573936428L);
4514 if (errno == ENOSYS)
4515 /* Function not implemented. */
4520 TEST_f_f (tanh, 0, 0);
4521 /* vda: uclibc: added IGNORE_ZERO_INF_SIGN to treat -0 as ok */
4522 TEST_f_f (tanh, minus_zero, minus_zero, IGNORE_ZERO_INF_SIGN);
4525 TEST_f_f (tanh, plus_infty, 1);
4526 TEST_f_f (tanh, minus_infty, -1);
4528 TEST_f_f (tanh, nan_value, nan_value);
4530 TEST_f_f (tanh, 0.75L, 0.635148952387287319214434357312496495L);
4531 TEST_f_f (tanh, -0.75L, -0.635148952387287319214434357312496495L);
4533 TEST_f_f (tanh, 1.0L, 0.7615941559557648881194582826047935904L);
4534 TEST_f_f (tanh, -1.0L, -0.7615941559557648881194582826047935904L);
4537 TEST_f_f (tanh, 0x1p-57L, 6.938893903907228377647697925567626953125e-18L);
4548 if (errno == ENOSYS)
4549 /* Function not implemented. */
4551 feclearexcept (FE_ALL_EXCEPT);
4555 TEST_f_f (tgamma, plus_infty, plus_infty);
4556 TEST_f_f (tgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
4557 TEST_f_f (tgamma, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
4558 /* tgamma (x) == NaN plus invalid exception for integer x <= 0. */
4559 TEST_f_f (tgamma, -2, nan_value, INVALID_EXCEPTION);
4560 TEST_f_f (tgamma, minus_infty, nan_value, INVALID_EXCEPTION);
4561 TEST_f_f (tgamma, nan_value, nan_value);
4563 TEST_f_f (tgamma, 0.5, M_SQRT_PIl);
4564 TEST_f_f (tgamma, -0.5, -M_2_SQRT_PIl);
4566 TEST_f_f (tgamma, 1, 1);
4567 TEST_f_f (tgamma, 4, 6);
4569 TEST_f_f (tgamma, 0.7L, 1.29805533264755778568117117915281162L);
4570 TEST_f_f (tgamma, 1.2L, 0.918168742399760610640951655185830401L);
4583 TEST_f_f (trunc, plus_infty, plus_infty);
4584 TEST_f_f (trunc, minus_infty, minus_infty);
4585 TEST_f_f (trunc, nan_value, nan_value);
4587 TEST_f_f (trunc, 0, 0);
4588 TEST_f_f (trunc, minus_zero, minus_zero);
4589 TEST_f_f (trunc, 0.625, 0);
4590 TEST_f_f (trunc, -0.625, minus_zero);
4591 TEST_f_f (trunc, 1, 1);
4592 TEST_f_f (trunc, -1, -1);
4593 TEST_f_f (trunc, 1.625, 1);
4594 TEST_f_f (trunc, -1.625, -1);
4596 TEST_f_f (trunc, 1048580.625L, 1048580L);
4597 TEST_f_f (trunc, -1048580.625L, -1048580L);
4599 TEST_f_f (trunc, 8388610.125L, 8388610.0L);
4600 TEST_f_f (trunc, -8388610.125L, -8388610.0L);
4602 TEST_f_f (trunc, 4294967296.625L, 4294967296.0L);
4603 TEST_f_f (trunc, -4294967296.625L, -4294967296.0L);
4606 /* The result can only be represented in long double. */
4607 TEST_f_f (trunc, 4503599627370495.5L, 4503599627370495.0L);
4608 TEST_f_f (trunc, 4503599627370496.25L, 4503599627370496.0L);
4609 TEST_f_f (trunc, 4503599627370496.5L, 4503599627370496.0L);
4610 TEST_f_f (trunc, 4503599627370496.75L, 4503599627370496.0L);
4611 TEST_f_f (trunc, 4503599627370497.5L, 4503599627370497.0L);
4613 TEST_f_f (trunc, -4503599627370495.5L, -4503599627370495.0L);
4614 TEST_f_f (trunc, -4503599627370496.25L, -4503599627370496.0L);
4615 TEST_f_f (trunc, -4503599627370496.5L, -4503599627370496.0L);
4616 TEST_f_f (trunc, -4503599627370496.75L, -4503599627370496.0L);
4617 TEST_f_f (trunc, -4503599627370497.5L, -4503599627370497.0L);
4619 TEST_f_f (trunc, 9007199254740991.5L, 9007199254740991.0L);
4620 TEST_f_f (trunc, 9007199254740992.25L, 9007199254740992.0L);
4621 TEST_f_f (trunc, 9007199254740992.5L, 9007199254740992.0L);
4622 TEST_f_f (trunc, 9007199254740992.75L, 9007199254740992.0L);
4623 TEST_f_f (trunc, 9007199254740993.5L, 9007199254740993.0L);
4625 TEST_f_f (trunc, -9007199254740991.5L, -9007199254740991.0L);
4626 TEST_f_f (trunc, -9007199254740992.25L, -9007199254740992.0L);
4627 TEST_f_f (trunc, -9007199254740992.5L, -9007199254740992.0L);
4628 TEST_f_f (trunc, -9007199254740992.75L, -9007199254740992.0L);
4629 TEST_f_f (trunc, -9007199254740993.5L, -9007199254740993.0L);
4631 TEST_f_f (trunc, 72057594037927935.5L, 72057594037927935.0L);
4632 TEST_f_f (trunc, 72057594037927936.25L, 72057594037927936.0L);
4633 TEST_f_f (trunc, 72057594037927936.5L, 72057594037927936.0L);
4634 TEST_f_f (trunc, 72057594037927936.75L, 72057594037927936.0L);
4635 TEST_f_f (trunc, 72057594037927937.5L, 72057594037927937.0L);
4637 TEST_f_f (trunc, -72057594037927935.5L, -72057594037927935.0L);
4638 TEST_f_f (trunc, -72057594037927936.25L, -72057594037927936.0L);
4639 TEST_f_f (trunc, -72057594037927936.5L, -72057594037927936.0L);
4640 TEST_f_f (trunc, -72057594037927936.75L, -72057594037927936.0L);
4641 TEST_f_f (trunc, -72057594037927937.5L, -72057594037927937.0L);
4643 TEST_f_f (trunc, 10141204801825835211973625643007.5L, 10141204801825835211973625643007.0L);
4644 TEST_f_f (trunc, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L);
4645 TEST_f_f (trunc, 10141204801825835211973625643008.5L, 10141204801825835211973625643008.0L);
4646 TEST_f_f (trunc, 10141204801825835211973625643008.75L, 10141204801825835211973625643008.0L);
4647 TEST_f_f (trunc, 10141204801825835211973625643009.5L, 10141204801825835211973625643009.0L);
4654 #if defined __DO_XSI_MATH__
4661 FUNC (sincos) (0, &s, &c);
4662 if (errno == ENOSYS)
4663 /* Required function not implemented. */
4667 if (errno == ENOSYS)
4668 /* Function not implemented. */
4671 /* y0 is the Bessel function of the second kind of order 0 */
4674 TEST_f_f (y0, -1.0, minus_infty, INVALID_EXCEPTION);
4675 TEST_f_f (y0, 0.0, minus_infty);
4676 TEST_f_f (y0, nan_value, nan_value);
4677 TEST_f_f (y0, plus_infty, 0);
4679 TEST_f_f (y0, 0.125L, -1.38968062514384052915582277745018693L);
4680 TEST_f_f (y0, 0.75L, -0.137172769385772397522814379396581855L);
4681 TEST_f_f (y0, 1.0, 0.0882569642156769579829267660235151628L);
4682 TEST_f_f (y0, 1.5, 0.382448923797758843955068554978089862L);
4683 TEST_f_f (y0, 2.0, 0.510375672649745119596606592727157873L);
4684 TEST_f_f (y0, 8.0, 0.223521489387566220527323400498620359L);
4685 TEST_f_f (y0, 10.0, 0.0556711672835993914244598774101900481L);
4697 FUNC (sincos) (0, &s, &c);
4698 if (errno == ENOSYS)
4699 /* Required function not implemented. */
4703 if (errno == ENOSYS)
4704 /* Function not implemented. */
4707 /* y1 is the Bessel function of the second kind of order 1 */
4710 TEST_f_f (y1, -1.0, minus_infty, INVALID_EXCEPTION);
4711 TEST_f_f (y1, 0.0, minus_infty);
4712 TEST_f_f (y1, plus_infty, 0);
4713 TEST_f_f (y1, nan_value, nan_value);
4715 TEST_f_f (y1, 0.125L, -5.19993611253477499595928744876579921L);
4716 TEST_f_f (y1, 0.75L, -1.03759455076928541973767132140642198L);
4717 TEST_f_f (y1, 1.0, -0.781212821300288716547150000047964821L);
4718 TEST_f_f (y1, 1.5, -0.412308626973911295952829820633445323L);
4719 TEST_f_f (y1, 2.0, -0.107032431540937546888370772277476637L);
4720 TEST_f_f (y1, 8.0, -0.158060461731247494255555266187483550L);
4721 TEST_f_f (y1, 10.0, 0.249015424206953883923283474663222803L);
4733 FUNC (sincos) (0, &s, &c);
4734 if (errno == ENOSYS)
4735 /* Required function not implemented. */
4739 if (errno == ENOSYS)
4740 /* Function not implemented. */
4743 /* yn is the Bessel function of the second kind of order n */
4746 /* yn (0, x) == y0 (x) */
4747 TEST_ff_f (yn, 0, -1.0, minus_infty, INVALID_EXCEPTION);
4748 TEST_ff_f (yn, 0, 0.0, minus_infty);
4749 TEST_ff_f (yn, 0, nan_value, nan_value);
4750 TEST_ff_f (yn, 0, plus_infty, 0);
4752 TEST_ff_f (yn, 0, 0.125L, -1.38968062514384052915582277745018693L);
4753 TEST_ff_f (yn, 0, 0.75L, -0.137172769385772397522814379396581855L);
4754 TEST_ff_f (yn, 0, 1.0, 0.0882569642156769579829267660235151628L);
4755 TEST_ff_f (yn, 0, 1.5, 0.382448923797758843955068554978089862L);
4756 TEST_ff_f (yn, 0, 2.0, 0.510375672649745119596606592727157873L);
4757 TEST_ff_f (yn, 0, 8.0, 0.223521489387566220527323400498620359L);
4758 TEST_ff_f (yn, 0, 10.0, 0.0556711672835993914244598774101900481L);
4760 /* yn (1, x) == y1 (x) */
4761 TEST_ff_f (yn, 1, -1.0, minus_infty, INVALID_EXCEPTION);
4762 TEST_ff_f (yn, 1, 0.0, minus_infty);
4763 TEST_ff_f (yn, 1, plus_infty, 0);
4764 TEST_ff_f (yn, 1, nan_value, nan_value);
4766 TEST_ff_f (yn, 1, 0.125L, -5.19993611253477499595928744876579921L);
4767 TEST_ff_f (yn, 1, 0.75L, -1.03759455076928541973767132140642198L);
4768 TEST_ff_f (yn, 1, 1.0, -0.781212821300288716547150000047964821L);
4769 TEST_ff_f (yn, 1, 1.5, -0.412308626973911295952829820633445323L);
4770 TEST_ff_f (yn, 1, 2.0, -0.107032431540937546888370772277476637L);
4771 TEST_ff_f (yn, 1, 8.0, -0.158060461731247494255555266187483550L);
4772 TEST_ff_f (yn, 1, 10.0, 0.249015424206953883923283474663222803L);
4775 TEST_ff_f (yn, 3, plus_infty, 0);
4776 TEST_ff_f (yn, 3, nan_value, nan_value);
4778 TEST_ff_f (yn, 3, 0.125L, -2612.69757350066712600220955744091741L);
4779 TEST_ff_f (yn, 3, 0.75L, -12.9877176234475433186319774484809207L);
4780 TEST_ff_f (yn, 3, 1.0, -5.82151760596472884776175706442981440L);
4781 TEST_ff_f (yn, 3, 2.0, -1.12778377684042778608158395773179238L);
4782 TEST_ff_f (yn, 3, 10.0, -0.251362657183837329779204747654240998L);
4785 TEST_ff_f (yn, 10, plus_infty, 0);
4786 TEST_ff_f (yn, 10, nan_value, nan_value);
4788 TEST_ff_f (yn, 10, 0.125L, -127057845771019398.252538486899753195L);
4789 TEST_ff_f (yn, 10, 0.75L, -2133501638.90573424452445412893839236L);
4790 TEST_ff_f (yn, 10, 1.0, -121618014.278689189288130426667971145L);
4791 TEST_ff_f (yn, 10, 2.0, -129184.542208039282635913145923304214L);
4792 TEST_ff_f (yn, 10, 10.0, -0.359814152183402722051986577343560609L);
4797 #endif /* __DO_XSI_MATH__ */
4801 significand_test (void)
4803 /* significand returns the mantissa of the exponential representation. */
4804 START (significand);
4806 TEST_f_f (significand, 4.0, 1.0);
4807 TEST_f_f (significand, 6.0, 1.5);
4808 TEST_f_f (significand, 8.0, 1.0);
4817 fpstack_test ("start *init*");
4819 nan_value = plus_zero / plus_zero; /* Suppress GCC warning */
4821 minus_zero = FUNC(copysign) (0.0, -1.0);
4822 plus_infty = CHOOSE (HUGE_VALL, HUGE_VAL, HUGE_VALF,
4823 HUGE_VALL, HUGE_VAL, HUGE_VALF);
4824 minus_infty = CHOOSE (-HUGE_VALL, -HUGE_VAL, -HUGE_VALF,
4825 -HUGE_VALL, -HUGE_VAL, -HUGE_VALF);
4826 max_value = CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX,
4827 LDBL_MAX, DBL_MAX, FLT_MAX);
4828 min_value = CHOOSE (LDBL_MIN, DBL_MIN, FLT_MIN,
4829 LDBL_MIN, DBL_MIN, FLT_MIN);
4835 (void) &minus_infty;
4839 /* Clear all exceptions. From now on we must not get random exceptions. */
4840 feclearexcept (FE_ALL_EXCEPT);
4842 /* Test to make sure we start correctly. */
4843 fpstack_test ("end *init*");
4847 /* function to check our ulp calculation. */
4854 /* This gives one ulp. */
4855 u = FUNC(nextafter) (10, 20);
4856 check_equal (10.0, u, 1, &diff, &ulp);
4857 printf ("One ulp: % .4" PRINTF_NEXPR "\n", ulp);
4859 /* This gives one more ulp. */
4860 u = FUNC(nextafter) (u, 20);
4861 check_equal (10.0, u, 2, &diff, &ulp);
4862 printf ("two ulp: % .4" PRINTF_NEXPR "\n", ulp);
4864 /* And now calculate 100 ulp. */
4865 for (i = 2; i < 100; i++)
4866 u = FUNC(nextafter) (u, 20);
4867 check_equal (10.0, u, 100, &diff, &ulp);
4868 printf ("100 ulp: % .4" PRINTF_NEXPR "\n", ulp);
4873 main (int argc, char **argv)
4880 output_max_error = 1;
4882 /* XXX set to 0 for releases. */
4885 /* Parse and process arguments. */
4886 while ((key = getopt(argc, argv, "fi:puv")) > 0) {
4890 output_max_error = 0;
4893 if (strcmp (optarg, "yes") == 0)
4895 else if (strcmp (optarg, "no") == 0)
4908 fprintf (stderr, "Unknown argument: %c", key);
4909 exit (EXIT_FAILURE);
4915 fprintf (stderr, "wrong number of arguments");
4916 exit (EXIT_FAILURE);
4921 ulps_file = fopen ("ULPs", "a");
4922 if (ulps_file == NULL)
4924 perror ("can't open file `ULPs' for writing: ");
4937 /* Keep the tests a wee bit ordered (according to ISO C99). */
4938 /* Classification macros: */
4944 /* Trigonometric functions: */
4956 /* Hyperbolic functions: */
4964 /* Exponential and logarithmic functions: */
4987 significand_test ();
4989 /* Power and absolute value functions: */
4996 /* Error and gamma functions: */
5005 /* Nearest integer functions: */
5013 rint_test_tonearest ();
5014 rint_test_towardzero ();
5015 rint_test_downward ();
5016 rint_test_upward ();
5025 /* Remainder functions: */
5032 /* Manipulation functions: */
5038 /* maximum, minimum and positive difference functions */
5043 /* Multiply and add: */
5046 /* Complex functions: */
5074 /* Bessel functions: */
5075 #if defined __DO_XSI_MATH__
5082 #endif /* __DO_XSI_MATH__ */
5087 printf ("\nTest suite completed:\n");
5088 printf (" %d test cases plus %d tests for exception flags executed.\n",
5089 noTests, noExcTests);
5091 printf (" %d expected failures occurred.\n", noXFails);
5093 printf (" %d unexpected passes occurred.\n", noXPasses);
5096 printf (" %d errors occurred.\n", noErrors);
5099 printf (" All tests passed successfully.\n");