1 # Begin of automatic generation
4 Test "asin (-0.5) == -pi/6":
7 Test "asin (-1.0) == -pi/2":
10 Test "asin (0.5) == pi/6":
13 Test "asin (0.7) == 0.77539749661075306374035335271498708":
18 Test "asin (1.0) == pi/2":
23 Test "asinh (0.7) == 0.652666566082355786":
28 Test "atan2 (-0.7, -1.0) == -2.530866689200584621918884506789267":
31 Test "atan2 (0.7, -1.0) == 2.530866689200584621918884506789267":
34 Test "atan2 (1.4, -0.93) == 2.1571487668237843754887415992772736":
39 Test "atanh (0.7) == 0.8673005276940531944":
46 Test "cabs (-0.7 + 12.4 i) == 12.419742348374220601176836866763271":
49 Test "cabs (-0.7 - 12.4 i) == 12.419742348374220601176836866763271":
52 Test "cabs (-12.4 + 0.7 i) == 12.419742348374220601176836866763271":
55 Test "cabs (-12.4 - 0.7 i) == 12.419742348374220601176836866763271":
58 Test "cabs (0.7 + 1.2 i) == 1.3892443989449804508432547041028554":
63 Test "cabs (0.7 + 12.4 i) == 12.419742348374220601176836866763271":
68 Test "Real part of: cacos (0.7 + 1.2 i) == 1.1351827477151551088992008271819053 - 1.0927647857577371459105272080819308 i":
75 Test "Imaginary part of: cacos (0.7 + 1.2 i) == 1.1351827477151551088992008271819053 - 1.0927647857577371459105272080819308 i":
82 Test "Real part of: cacosh (-2 - 3 i) == -1.9833870299165354323470769028940395 + 2.1414491111159960199416055713254211 i":
89 Test "Imaginary part of: cacosh (-2 - 3 i) == -1.9833870299165354323470769028940395 + 2.1414491111159960199416055713254211 i":
96 Test "Real part of: cacosh (0.7 + 1.2 i) == 1.0927647857577371459105272080819308 + 1.1351827477151551088992008271819053 i":
103 Test "Imaginary part of: cacosh (0.7 + 1.2 i) == 1.0927647857577371459105272080819308 + 1.1351827477151551088992008271819053 i":
108 Test "Real part of: casin (0.7 + 1.2 i) == 0.4356135790797415103321208644578462 + 1.0927647857577371459105272080819308 i":
113 Test "Imaginary part of: casin (0.7 + 1.2 i) == 0.4356135790797415103321208644578462 + 1.0927647857577371459105272080819308 i":
120 Test "Real part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i":
127 Test "Imaginary part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i":
134 Test "Real part of: casinh (0.7 + 1.2 i) == 0.97865459559367387689317593222160964 + 0.91135418953156011567903546856170941 i":
137 Test "Imaginary part of: casinh (0.7 + 1.2 i) == 0.97865459559367387689317593222160964 + 0.91135418953156011567903546856170941 i":
144 Test "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i":
147 Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i":
152 Test "Real part of: catan (0.7 + 1.2 i) == 1.0785743834118921877443707996386368 + 0.57705737765343067644394541889341712 i":
157 Test "Imaginary part of: catan (0.7 + 1.2 i) == 1.0785743834118921877443707996386368 + 0.57705737765343067644394541889341712 i":
162 Test "Real part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i":
167 Test "Imaginary part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i":
170 Test "Real part of: catanh (0.7 + 1.2 i) == 0.2600749516525135959200648705635915 + 0.97024030779509898497385130162655963 i":
175 Test "Imaginary part of: catanh (0.7 + 1.2 i) == 0.2600749516525135959200648705635915 + 0.97024030779509898497385130162655963 i":
180 Test "cbrt (-0.001) == -0.1":
183 Test "cbrt (-27.0) == -3.0":
188 Test "cbrt (0.7) == 0.8879040017426007084":
191 Test "cbrt (0.970299) == 0.99":
196 Test "cbrt (8) == 2":
201 Test "Imaginary part of: ccos (-2 - 3 i) == -4.1896256909688072301 - 9.1092278937553365979 i":
206 Test "Real part of: ccos (0.7 + 1.2 i) == 1.3848657645312111080 - 0.97242170335830028619 i":
209 Test "Imaginary part of: ccos (0.7 + 1.2 i) == 1.3848657645312111080 - 0.97242170335830028619 i":
216 Test "Real part of: ccosh (-2 - 3 i) == -3.7245455049153225654 + 0.5118225699873846088 i":
219 Test "Imaginary part of: ccosh (-2 - 3 i) == -3.7245455049153225654 + 0.5118225699873846088 i":
224 Test "Real part of: ccosh (0.7 + 1.2 i) == 0.4548202223691477654 + 0.7070296600921537682 i":
231 Test "Imaginary part of: ccosh (0.7 + 1.2 i) == 0.4548202223691477654 + 0.7070296600921537682 i":
238 Test "Real part of: cexp (-2.0 - 3.0 i) == -0.13398091492954261346140525546115575 - 0.019098516261135196432576240858800925 i":
241 Test "Imaginary part of: cexp (-2.0 - 3.0 i) == -0.13398091492954261346140525546115575 - 0.019098516261135196432576240858800925 i":
246 Test "Real part of: cexp (0.7 + 1.2 i) == 0.72969890915032360123451688642930727 + 1.8768962328348102821139467908203072 i":
253 Test "Imaginary part of: cexp (0.7 + 1.2 i) == 0.72969890915032360123451688642930727 + 1.8768962328348102821139467908203072 i":
258 Test "Imaginary part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i":
263 Test "Imaginary part of: clog10 (-0 + inf i) == inf + pi/2*log10(e) i":
268 Test "Imaginary part of: clog10 (-0 - inf i) == inf - pi/2*log10(e) i":
273 Test "Imaginary part of: clog10 (-2 - 3 i) == 0.5569716761534183846 - 0.9375544629863747085 i":
280 Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i":
285 Test "Imaginary part of: clog10 (-3 - inf i) == inf - pi/2*log10(e) i":
290 Test "Imaginary part of: clog10 (-inf + 0 i) == inf + pi*log10(e) i":
295 Test "Imaginary part of: clog10 (-inf + 1 i) == inf + pi*log10(e) i":
300 Test "Imaginary part of: clog10 (-inf + inf i) == inf + 3/4 pi*log10(e) i":
303 Test "Imaginary part of: clog10 (-inf - 0 i) == inf - pi*log10(e) i":
308 Test "Imaginary part of: clog10 (-inf - 1 i) == inf - pi*log10(e) i":
313 Test "Imaginary part of: clog10 (0 + inf i) == inf + pi/2*log10(e) i":
318 Test "Imaginary part of: clog10 (0 - inf i) == inf - pi/2*log10(e) i":
323 Test "Real part of: clog10 (0.7 + 1.2 i) == 0.1427786545038868803 + 0.4528483579352493248 i":
330 Test "Imaginary part of: clog10 (0.7 + 1.2 i) == 0.1427786545038868803 + 0.4528483579352493248 i":
335 Test "Imaginary part of: clog10 (3 + inf i) == inf + pi/2*log10(e) i":
340 Test "Imaginary part of: clog10 (3 - inf i) == inf - pi/2*log10(e) i":
345 Test "Imaginary part of: clog10 (inf + inf i) == inf + pi/4*log10(e) i":
350 Test "Imaginary part of: clog10 (inf - inf i) == inf - pi/4*log10(e) i":
357 Test "cos (0.7) == 0.76484218728448842625585999019186495":
362 Test "cos (M_PI_6l * 2.0) == 0.5":
367 Test "cos (M_PI_6l * 4.0) == -0.5":
374 Test "cos (pi/2) == 0":
383 Test "cosh (0.7) == 1.255169005630943018":
388 Test "Real part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i":
393 Test "Imaginary part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i":
398 Test "Imaginary part of: cpow (e + 0 i, 0 + 2 * M_PIl i) == 1.0 + 0.0 i":
405 Test "Real part of: cpow (2 + 0 i, 10 + 0 i) == 1024.0 + 0.0 i":
410 Test "Imaginary part of: csin (0.7 + 1.2 i) == 1.1664563419657581376 + 1.1544997246948547371 i":
417 Test "Imaginary part of: csinh (-2 - 3 i) == 3.5905645899857799520 - 0.5309210862485198052 i":
422 Test "Real part of: csinh (0.7 + 1.2 i) == 0.27487868678117583582 + 1.1698665727426565139 i":
427 Test "Imaginary part of: csinh (0.7 + 1.2 i) == 0.27487868678117583582 + 1.1698665727426565139 i":
432 Test "Real part of: csqrt (-2 + 3 i) == 0.89597747612983812471573375529004348 + 1.6741492280355400404480393008490519 i":
435 Test "Real part of: csqrt (-2 - 3 i) == 0.89597747612983812471573375529004348 - 1.6741492280355400404480393008490519 i":
438 Test "Real part of: csqrt (0.7 + 1.2 i) == 1.022067610030026450706487883081139 + 0.58704531296356521154977678719838035 i":
443 Test "Imaginary part of: csqrt (0.7 + 1.2 i) == 1.022067610030026450706487883081139 + 0.58704531296356521154977678719838035 i":
448 Test "Real part of: ctan (-2 - 3 i) == 0.0037640256415042482 - 1.0032386273536098014 i":
453 Test "Imaginary part of: ctan (-2 - 3 i) == 0.0037640256415042482 - 1.0032386273536098014 i":
456 Test "Real part of: ctan (0.7 + 1.2 i) == 0.1720734197630349001 + 0.9544807059989405538 i":
461 Test "Imaginary part of: ctan (0.7 + 1.2 i) == 0.1720734197630349001 + 0.9544807059989405538 i":
470 Test "Real part of: ctanh (-2 - 3 i) == -0.9653858790221331242 + 0.0098843750383224937 i":
477 Test "Imaginary part of: ctanh (-2 - 3 i) == -0.9653858790221331242 + 0.0098843750383224937 i":
480 Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i":
483 Test "Real part of: ctanh (0.7 + 1.2 i) == 1.3472197399061191630 + 0.4778641038326365540 i":
490 Test "Imaginary part of: ctanh (0.7 + 1.2 i) == 1.3472197399061191630 + 0.4778641038326365540 i":
499 Test "erfc (0.7) == 0.32219880616258152702":
504 Test "erfc (1.2) == 0.089686021770364619762":
511 Test "erfc (2.0) == 0.0046777349810472658379":
514 Test "erfc (4.1) == 0.67000276540848983727e-8":
521 Test "erfc (9) == 0.41370317465138102381e-36":
526 Test "exp10 (-1) == 0.1":
533 Test "exp10 (0.7) == 5.0118723362727228500155418688494574":
538 Test "exp10 (3) == 1000":
547 Test "expm1 (0.7) == 1.0137527074704765216":
550 Test "expm1 (1) == M_El - 1.0":
557 Test "fmod (-6.5, -2.3) == -1.9":
564 Test "fmod (-6.5, 2.3) == -1.9":
571 Test "fmod (6.5, -2.3) == 1.9":
578 Test "fmod (6.5, 2.3) == 1.9":
587 Test "gamma (-0.5) == log(2*sqrt(pi))":
592 Test "hypot (-0.7, -12.4) == 12.419742348374220601176836866763271":
595 Test "hypot (-0.7, 12.4) == 12.419742348374220601176836866763271":
598 Test "hypot (-12.4, -0.7) == 12.419742348374220601176836866763271":
601 Test "hypot (-12.4, 0.7) == 12.419742348374220601176836866763271":
604 Test "hypot (0.7, -12.4) == 12.419742348374220601176836866763271":
607 Test "hypot (0.7, 1.2) == 1.3892443989449804508432547041028554":
612 Test "hypot (0.7, 12.4) == 12.419742348374220601176836866763271":
615 Test "hypot (12.4, -0.7) == 12.419742348374220601176836866763271":
618 Test "hypot (12.4, 0.7) == 12.419742348374220601176836866763271":
623 Test "j0 (10.0) == -0.24593576445134833520":
628 Test "j0 (2.0) == 0.22389077914123566805":
631 Test "j0 (8.0) == 0.17165080713755390609":
636 Test "j1 (10.0) == 0.043472746168861436670":
641 Test "j1 (2.0) == 0.57672480775687338720":
644 Test "j1 (8.0) == 0.23463634685391462438":
651 Test "jn (0, 10.0) == -0.24593576445134833520":
656 Test "jn (0, 2.0) == 0.22389077914123566805":
659 Test "jn (0, 8.0) == 0.17165080713755390609":
662 Test "jn (1, 10.0) == 0.043472746168861436670":
667 Test "jn (1, 2.0) == 0.57672480775687338720":
670 Test "jn (1, 8.0) == 0.23463634685391462438":
675 Test "jn (10, -1.0) == 0.26306151236874532070e-9":
678 Test "jn (10, 0.1) == 0.26905328954342155795e-19":
685 Test "jn (10, 0.7) == 0.75175911502153953928e-11":
692 Test "jn (10, 1.0) == 0.26306151236874532070e-9":
695 Test "jn (10, 10.0) == 0.20748610663335885770":
702 Test "jn (10, 2.0) == 0.25153862827167367096e-6":
707 Test "jn (3, -1.0) == -0.019563353982668405919":
710 Test "jn (3, 0.1) == 0.000020820315754756261429":
715 Test "jn (3, 0.7) == 0.0069296548267508408077":
718 Test "jn (3, 1.0) == 0.019563353982668405919":
721 Test "jn (3, 10.0) == 0.058379379305186812343":
728 Test "jn (3, 2.0) == 0.12894324947440205110":
735 Test "lgamma (-0.5) == log(2*sqrt(pi))":
738 Test "lgamma (0.7) == 0.26086724653166651439":
743 Test "lgamma (1.2) == -0.853740900033158497197e-1":
752 Test "log (0.7) == -0.35667494393873237891263871124118447":
761 Test "log10 (0.7) == -0.15490195998574316929":
766 Test "log10 (e) == log10(e)":
773 Test "log1p (-0.3) == -0.35667494393873237891263871124118447":
782 Test "log2 (0.7) == -0.51457317282975824043":
789 Test "sin (0.7) == 0.64421768723769105367261435139872014":
794 Test "sincos (0.7, &sin_res, &cos_res) puts 0.64421768723769105367261435139872014 in sin_res":
797 Test "sincos (0.7, &sin_res, &cos_res) puts 0.76484218728448842625585999019186495 in cos_res":
802 Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res":
807 Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res":
814 Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res":
821 Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res":
826 Test "sinh (0.7) == 0.75858370183953350346":
835 Test "tan (0.7) == 0.84228838046307944812813500221293775":
838 Test "tan (pi/4) == 1":
843 Test "tanh (0.7) == 0.60436777711716349631":
851 Test "tanh (-0.7) == -0.60436777711716349631":
860 Test "tgamma (-0.5) == -2 sqrt (pi)":
867 Test "tgamma (0.5) == sqrt (pi)":
870 Test "tgamma (0.7) == 1.29805533264755778568":
875 Test "tgamma (4) == 6":
880 Test "y0 (0.7) == -0.19066492933739506743":
887 Test "y0 (1.0) == 0.088256964215676957983":
892 Test "y0 (1.5) == 0.38244892379775884396":
897 Test "y0 (10.0) == 0.055671167283599391424":
902 Test "y0 (8.0) == 0.22352148938756622053":
911 Test "y1 (0.1) == -6.4589510947020269877":
916 Test "y1 (0.7) == -1.1032498719076333697":
921 Test "y1 (1.5) == -0.41230862697391129595":
924 Test "y1 (10.0) == 0.24901542420695388392":
929 Test "y1 (2.0) == -0.10703243154093754689":
936 Test "y1 (8.0) == -0.15806046173124749426":
945 Test "yn (0, 0.7) == -0.19066492933739506743":
952 Test "yn (0, 1.0) == 0.088256964215676957983":
957 Test "yn (0, 1.5) == 0.38244892379775884396":
962 Test "yn (0, 10.0) == 0.055671167283599391424":
967 Test "yn (0, 8.0) == 0.22352148938756622053":
974 Test "yn (1, 0.1) == -6.4589510947020269877":
979 Test "yn (1, 0.7) == -1.1032498719076333697":
984 Test "yn (1, 1.5) == -0.41230862697391129595":
987 Test "yn (1, 10.0) == 0.24901542420695388392":
992 Test "yn (1, 2.0) == -0.10703243154093754689":
999 Test "yn (1, 8.0) == -0.15806046173124749426":
1006 Test "yn (10, 0.1) == -0.11831335132045197885e19":
1013 Test "yn (10, 0.7) == -0.42447194260703866924e10":
1018 Test "yn (10, 1.0) == -0.12161801427868918929e9":
1021 Test "yn (10, 10.0) == -0.35981415218340272205":
1026 Test "yn (10, 2.0) == -129184.54220803928264":
1031 Test "yn (3, 0.1) == -5099.3323786129048894":
1038 Test "yn (3, 0.7) == -15.819479052819633505":
1045 Test "yn (3, 10.0) == -0.25136265718383732978":
1050 Test "yn (3, 2.0) == -1.1277837768404277861":
1054 # Maximal error of functions:
1083 Function: Real part of "cacos":
1091 Function: Imaginary part of "cacos":
1097 Function: Real part of "cacosh":
1105 Function: Imaginary part of "cacosh":
1113 Function: Real part of "casin":
1119 Function: Imaginary part of "casin":
1125 Function: Real part of "casinh":
1133 Function: Imaginary part of "casinh":
1141 Function: Real part of "catan":
1147 Function: Imaginary part of "catan":
1153 Function: Real part of "catanh":
1161 Function: Imaginary part of "catanh":
1171 Function: Real part of "ccos":
1175 Function: Imaginary part of "ccos":
1183 Function: Real part of "ccosh":
1191 Function: Imaginary part of "ccosh":
1199 Function: Real part of "cexp":
1207 Function: Imaginary part of "cexp":
1213 Function: Imaginary part of "clog":
1217 Function: Real part of "clog10":
1225 Function: Imaginary part of "clog10":
1245 Function: Real part of "cpow":
1253 Function: Imaginary part of "cpow":
1261 Function: Imaginary part of "csin":
1267 Function: Real part of "csinh":
1273 Function: Imaginary part of "csinh":
1281 Function: Real part of "csqrt":
1287 Function: Imaginary part of "csqrt":
1291 Function: Real part of "ctan":
1299 Function: Imaginary part of "ctan":
1307 Function: Real part of "ctanh":
1315 Function: Imaginary part of "ctanh":
1493 # end of automatic generation