Use exact values as input parameters, compute output parameters with 36 digits for 128-bit long doubles.

1 files changed, 219 insertions, 176 deletions

diff --git a/math/libm-test.inc b/math/libm-test.inc
index 2509495711..0898659fe5 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -107,9 +107,10 @@
 
 
    To Do: All parameter should be numbers that can be represented as
-   exact floating point values.  Currently some values cannot be represented
-   exactly and therefore the result is not the expected result.
-*/
+   exact floating point values.  Currently some values cannot be
+   represented exactly and therefore the result is not the expected
+   result.  For this we will use 36 digits so that numbers can be
+   represented exactly.  */
 
 #ifndef _GNU_SOURCE
 # define _GNU_SOURCE
@@ -723,8 +724,8 @@ acos_test (void)
   TEST_f_f (acos, nan_value, nan_value);
 
   /* |x| > 1: */
-  TEST_f_f (acos, 1.1L, nan_value, INVALID_EXCEPTION);
-  TEST_f_f (acos, -1.1L, nan_value, INVALID_EXCEPTION);
+  TEST_f_f (acos, 1.125L, nan_value, INVALID_EXCEPTION);
+  TEST_f_f (acos, -1.125L, nan_value, INVALID_EXCEPTION);
 
   TEST_f_f (acos, 0, M_PI_2l);
   TEST_f_f (acos, minus_zero, M_PI_2l);
@@ -732,8 +733,9 @@ acos_test (void)
   TEST_f_f (acos, -1, M_PIl);
   TEST_f_f (acos, 0.5, M_PI_6l*2.0);
   TEST_f_f (acos, -0.5, M_PI_6l*4.0);
-  TEST_f_f (acos, 0.7L, 0.79539883018414355549096833892476432L);
-
+  TEST_f_f (acos, 0.75L, 0.722734247813415611178377352641333362L);
+  TEST_f_f (acos, 2e-17L, 1.57079632679489659923132169163975144L);
+  TEST_f_f (acos, 0.0625L, 1.50825556499840522843072005474337068);
   END (acos);
 }
 
@@ -752,10 +754,10 @@ acosh_test (void)
   TEST_f_f (acosh, minus_infty, nan_value, INVALID_EXCEPTION);
 
   /* x < 1:  */
-  TEST_f_f (acosh, -1.1L, nan_value, INVALID_EXCEPTION);
+  TEST_f_f (acosh, -1.125L, nan_value, INVALID_EXCEPTION);
 
   TEST_f_f (acosh, 1, 0);
-  TEST_f_f (acosh, 7, 2.633915793849633417250092694615937L);
+  TEST_f_f (acosh, 7, 2.63391579384963341725009269461593689L);
 
   END (acosh);
 }
@@ -776,8 +778,8 @@ asin_test (void)
   TEST_f_f (asin, nan_value, nan_value);
 
   /* asin x == NaN plus invalid exception for |x| > 1.  */
-  TEST_f_f (asin, 1.1L, nan_value, INVALID_EXCEPTION);
-  TEST_f_f (asin, -1.1L, nan_value, INVALID_EXCEPTION);
+  TEST_f_f (asin, 1.125L, nan_value, INVALID_EXCEPTION);
+  TEST_f_f (asin, -1.125L, nan_value, INVALID_EXCEPTION);
 
   TEST_f_f (asin, 0, 0);
   TEST_f_f (asin, minus_zero, minus_zero);
@@ -785,7 +787,7 @@ asin_test (void)
   TEST_f_f (asin, -0.5, -M_PI_6l);
   TEST_f_f (asin, 1.0, M_PI_2l);
   TEST_f_f (asin, -1.0, -M_PI_2l);
-  TEST_f_f (asin, 0.7L, 0.77539749661075306374035335271498708L);
+  TEST_f_f (asin, 0.75L, 0.848062078981481008052944338998418080L);
 
   END (asin);
 }
@@ -808,7 +810,7 @@ asinh_test (void)
   TEST_f_f (asinh, minus_infty, minus_infty);
 #endif
   TEST_f_f (asinh, nan_value, nan_value);
-  TEST_f_f (asinh, 0.7L, 0.652666566082355786L);
+  TEST_f_f (asinh, 0.75L, 0.693147180559945309417232121458176568L);
 
   END (asinh);
 }
@@ -834,7 +836,7 @@ atan_test (void)
   TEST_f_f (atan, 1, M_PI_4l);
   TEST_f_f (atan, -1, -M_PI_4l);
 
-  TEST_f_f (atan, 0.7L, 0.61072596438920861654375887649023613L);
+  TEST_f_f (atan, 0.75L, 0.643501108793284386802809228717322638L);
 
   END (atan);
 }
@@ -861,10 +863,10 @@ atanh_test (void)
   TEST_f_f (atanh, nan_value, nan_value);
 
   /* atanh (x) == NaN plus invalid exception if |x| > 1.  */
-  TEST_f_f (atanh, 1.1L, nan_value, INVALID_EXCEPTION);
-  TEST_f_f (atanh, -1.1L, nan_value, INVALID_EXCEPTION);
+  TEST_f_f (atanh, 1.125L, nan_value, INVALID_EXCEPTION);
+  TEST_f_f (atanh, -1.125L, nan_value, INVALID_EXCEPTION);
 
-  TEST_f_f (atanh, 0.7L, 0.8673005276940531944L);
+  TEST_f_f (atanh, 0.75L, 0.972955074527656652552676371721589865L);
 
   END (atanh);
 }
@@ -934,17 +936,16 @@ atan2_test (void)
   TEST_ff_f (atan2, minus_infty, minus_infty, -M_PI_34l);
   TEST_ff_f (atan2, nan_value, nan_value, nan_value);
 
-  TEST_ff_f (atan2, 0.7L, 1, 0.61072596438920861654375887649023613L);
-  TEST_ff_f (atan2, -0.7L, 1.0L, -0.61072596438920861654375887649023613L);
-  TEST_ff_f (atan2, 0.7L, -1.0L, 2.530866689200584621918884506789267L);
-  TEST_ff_f (atan2, -0.7L, -1.0L, -2.530866689200584621918884506789267L);
-  TEST_ff_f (atan2, 0.4L, 0.0003L, 1.5700463269355215717704032607580829L);
-  TEST_ff_f (atan2, 1.4L, -0.93L, 2.1571487668237843754887415992772736L);
+  TEST_ff_f (atan2, 0.75L, 1, 0.643501108793284386802809228717322638L);
+  TEST_ff_f (atan2, -0.75L, 1.0L, -0.643501108793284386802809228717322638L);
+  TEST_ff_f (atan2, 0.75L, -1.0L, 2.49809154479650885165983415456218025L);
+  TEST_ff_f (atan2, -0.75L, -1.0L, -2.49809154479650885165983415456218025L);
+  TEST_ff_f (atan2, 0.390625L, .00029L, 1.57005392693128974780151246612928941L);
+  TEST_ff_f (atan2, 1.390625L, 0.9296875L, 0.981498387184244311516296577615519772L);
 
   END (atan2);
 }
 
-
 static void
 cabs_test (void)
 {
@@ -969,28 +970,29 @@ cabs_test (void)
   TEST_c_f (cabs, nan_value, nan_value, nan_value);
 
   /* cabs (x,y) == cabs (y,x).  */
-  TEST_c_f (cabs, 0.7L, 12.4L, 12.419742348374220601176836866763271L);
+  TEST_c_f (cabs, 0.75L, 12.390625L, 12.4133028598606664302388810868156657L);
   /* cabs (x,y) == cabs (-x,y).  */
-  TEST_c_f (cabs, -12.4L, 0.7L, 12.419742348374220601176836866763271L);
+  TEST_c_f (cabs, -12.390625L, 0.75L, 12.4133028598606664302388810868156657L);
   /* cabs (x,y) == cabs (-y,x).  */
-  TEST_c_f (cabs, -0.7L, 12.4L, 12.419742348374220601176836866763271L);
+  TEST_c_f (cabs, -0.75L, 12.390625L, 12.4133028598606664302388810868156657L);
   /* cabs (x,y) == cabs (-x,-y).  */
-  TEST_c_f (cabs, -12.4L, -0.7L, 12.419742348374220601176836866763271L);
+  TEST_c_f (cabs, -12.390625L, -0.75L, 12.4133028598606664302388810868156657L);
   /* cabs (x,y) == cabs (-y,-x).  */
-  TEST_c_f (cabs, -0.7L, -12.4L, 12.419742348374220601176836866763271L);
+  TEST_c_f (cabs, -0.75L, -12.390625L, 12.4133028598606664302388810868156657L);
   /* cabs (x,0) == fabs (x).  */
-  TEST_c_f (cabs, -0.7L, 0, 0.7L);
-  TEST_c_f (cabs, 0.7L, 0, 0.7L);
+  TEST_c_f (cabs, -0.75L, 0, 0.75L);
+  TEST_c_f (cabs, 0.75L, 0, 0.75L);
   TEST_c_f (cabs, -1.0L, 0, 1.0L);
   TEST_c_f (cabs, 1.0L, 0, 1.0L);
   TEST_c_f (cabs, -5.7e7L, 0, 5.7e7L);
   TEST_c_f (cabs, 5.7e7L, 0, 5.7e7L);
 
-  TEST_c_f (cabs, 0.7L, 1.2L, 1.3892443989449804508432547041028554L);
+  TEST_c_f (cabs, 0.75L, 1.25L, 1.45773797371132511771853821938639577L);
 
   END (cabs);
 }
 
+
 static void
 cacos_test (void)
 {
@@ -1048,13 +1050,12 @@ cacos_test (void)
 
   TEST_c_c (cacos, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (cacos, 0.7L, 1.2L, 1.1351827477151551088992008271819053L, -1.0927647857577371459105272080819308L);
+  TEST_c_c (cacos, 0.75L, 1.25L, 1.11752014915610270578240049553777969L, -1.13239363160530819522266333696834467L);
   TEST_c_c (cacos, -2, -3, 2.1414491111159960199416055713254211L, 1.9833870299165354323470769028940395L);
 
   END (cacos, complex);
 }
 
-
 static void
 cacosh_test (void)
 {
@@ -1111,12 +1112,13 @@ cacosh_test (void)
 
   TEST_c_c (cacosh, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (cacosh, 0.7L, 1.2L, 1.0927647857577371459105272080819308L, 1.1351827477151551088992008271819053L);
+  TEST_c_c (cacosh, 0.75L, 1.25L, 1.13239363160530819522266333696834467L, 1.11752014915610270578240049553777969L);
   TEST_c_c (cacosh, -2, -3, -1.9833870299165354323470769028940395L, 2.1414491111159960199416055713254211L);
 
   END (cacosh, complex);
 }
 
+
 static void
 carg_test (void)
 {
@@ -1241,7 +1243,7 @@ casin_test (void)
 
   TEST_c_c (casin, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (casin, 0.7L, 1.2L, 0.4356135790797415103321208644578462L, 1.0927647857577371459105272080819308L);
+  TEST_c_c (casin, 0.75L, 1.25L, 0.453276177638793913448921196101971749L, 1.13239363160530819522266333696834467L);
   TEST_c_c (casin, -2, -3, -0.57065278432109940071028387968566963L, -1.9833870299165354323470769028940395L);
 
   END (casin, complex);
@@ -1305,7 +1307,7 @@ casinh_test (void)
 
   TEST_c_c (casinh, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (casinh, 0.7L, 1.2L, 0.97865459559367387689317593222160964L, 0.91135418953156011567903546856170941L);
+  TEST_c_c (casinh, 0.75L, 1.25L, 1.03171853444778027336364058631006594L, 0.911738290968487636358489564316731207L);
   TEST_c_c (casinh, -2, -3, -1.9686379257930962917886650952454982L, -0.96465850440760279204541105949953237L);
 
   END (casinh, complex);
@@ -1373,8 +1375,7 @@ catan_test (void)
 
   TEST_c_c (catan, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (catan, 0.7L, 1.2L, 1.0785743834118921877443707996386368L, 0.57705737765343067644394541889341712L);
-
+  TEST_c_c (catan, 0.75L, 1.25L, 1.10714871779409050301706546017853704L, 0.549306144334054845697622618461262852L);
   TEST_c_c (catan, -2, -3, -1.4099210495965755225306193844604208L, -0.22907268296853876629588180294200276L);
 
   END (catan, complex);
@@ -1440,7 +1441,7 @@ catanh_test (void)
 
   TEST_c_c (catanh, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (catanh, 0.7L, 1.2L, 0.2600749516525135959200648705635915L, 0.97024030779509898497385130162655963L);
+  TEST_c_c (catanh, 0.75L, 1.25L, 0.261492138795671927078652057366532140L, 0.996825126463918666098902241310446708L);
   TEST_c_c (catanh, -2, -3, -0.14694666622552975204743278515471595L, -1.3389725222944935611241935759091443L);
 
   END (catanh, complex);
@@ -1467,12 +1468,13 @@ cbrt_test (void)
   TEST_f_f (cbrt, -0.001L, -0.1L);
   TEST_f_f (cbrt, 8, 2);
   TEST_f_f (cbrt, -27.0, -3.0);
-  TEST_f_f (cbrt, 0.970299L, 0.99L);
-  TEST_f_f (cbrt, 0.7L, 0.8879040017426007084L);
+  TEST_f_f (cbrt, 0.9921875L, 0.997389022060725270579075195353955217L);
+  TEST_f_f (cbrt, 0.75L, 0.908560296416069829445605878163630251L);
 
   END (cbrt);
 }
 
+
 static void
 ccos_test (void)
 {
@@ -1534,8 +1536,7 @@ ccos_test (void)
 
   TEST_c_c (ccos, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (ccos, 0.7L, 1.2L, 1.3848657645312111080L, -0.97242170335830028619L);
-
+  TEST_c_c (ccos, 0.75L, 1.25L, 1.38173873063425888530729933139078645L, -1.09193013555397466170919531722024128L);
   TEST_c_c (ccos, -2, -3, -4.1896256909688072301L, -9.1092278937553365979L);
 
   END (ccos, complex);
@@ -1603,7 +1604,7 @@ ccosh_test (void)
 
   TEST_c_c (ccosh, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (ccosh, 0.7L, 1.2L, 0.4548202223691477654L, 0.7070296600921537682L);
+  TEST_c_c (ccosh, 0.75L, 1.25L, 0.408242591877968807788852146397499084L, 0.780365930845853240391326216300863152L);
 
   TEST_c_c (ccosh, -2, -3, -3.7245455049153225654L, 0.5118225699873846088L);
 
@@ -1686,12 +1687,13 @@ cexp_test (void)
   TEST_c_c (cexp, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK);
   TEST_c_c (cexp, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (cexp, 0.7L, 1.2L, 0.72969890915032360123451688642930727L, 1.8768962328348102821139467908203072L);
+  TEST_c_c (cexp, 0.75L, 1.25L, 0.667537446429131586942201977015932112, 2.00900045494094876258347228145863909L);
   TEST_c_c (cexp, -2.0, -3.0, -0.13398091492954261346140525546115575L, -0.019098516261135196432576240858800925L);
 
   END (cexp, complex);
 }
 
+
 static void
 cimag_test (void)
 {
@@ -1766,6 +1768,8 @@ clog_test (void)
   TEST_c_c (clog, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK);
 
   TEST_c_c (clog, nan_value, nan_value, nan_value, nan_value);
+
+  TEST_c_c (clog, 0.75L, 1.25L, 0.376885901188190075998919126749298416L, 1.03037682652431246378774332703115153L);
   TEST_c_c (clog, -2, -3, 1.2824746787307683680267437207826593L, -2.1587989303424641704769327722648368L);
 
   END (clog, complex);
@@ -1831,12 +1835,13 @@ clog10_test (void)
 
   TEST_c_c (clog10, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (clog10, 0.7L, 1.2L, 0.1427786545038868803L, 0.4528483579352493248L);
+  TEST_c_c (clog10, 0.75L, 1.25L, 0.163679467193165171449476605077428975L, 0.447486970040493067069984724340855636L);
   TEST_c_c (clog10, -2, -3, 0.5569716761534183846L, -0.9375544629863747085L);
 
   END (clog10, complex);
 }
 
+
 static void
 conj_test (void)
 {
@@ -1882,6 +1887,7 @@ copysign_test (void)
   END (copysign);
 }
 
+
 static void
 cos_test (void)
 {
@@ -1903,11 +1909,12 @@ cos_test (void)
   TEST_f_f (cos, M_PI_6l * 4.0, -0.5);
   TEST_f_f (cos, M_PI_2l, 0);
 
-  TEST_f_f (cos, 0.7L, 0.76484218728448842625585999019186495L);
+  TEST_f_f (cos, 0.75L, 0.731688868873820886311838753000084544L);
 
   END (cos);
 }
 
+
 static void
 cosh_test (void)
 {
@@ -1927,7 +1934,8 @@ cosh_test (void)
 #endif
   TEST_f_f (cosh, nan_value, nan_value);
 
-  TEST_f_f (cosh, 0.7L, 1.255169005630943018L);
+  TEST_f_f (cosh, 0.75L, 1.29468328467684468784170818539018176L);
+
   END (cosh);
 }
 
@@ -1951,9 +1959,15 @@ cpow_test (void)
 
   TEST_cc_c (cpow, nan_value, nan_value, nan_value, nan_value, nan_value, nan_value);
 
+  TEST_cc_c (cpow, 0.75L, 1.25L, 0.75L, 1.25L, 0.117506293914473555420279832210420483, 0.346552747708338676483025352060418001L);
+  TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 1.0L, 0.0846958290317209430433805274189191353, 0.513285749182902449043287190519090481L);
+  TEST_cc_c (cpow, 0.75L, 1.25L, 1.0L, 0.0L, 0.75L, 1.25L);
+  TEST_cc_c (cpow, 0.75L, 1.25L, 0.0L, 1.0L, 0.331825439177608832276067945276730566, 0.131338600281188544930936345230903032L);
+
   END (cpow, complex);
 }
 
+
 static void
 cproj_test (void)
 {
@@ -1976,6 +1990,7 @@ cproj_test (void)
   END (cproj, complex);
 }
 
+
 static void
 creal_test (void)
 {
@@ -2052,8 +2067,7 @@ csin_test (void)
 
   TEST_c_c (csin, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (csin, 0.7L, 1.2L, 1.1664563419657581376L, 1.1544997246948547371L);
-
+  TEST_c_c (csin, 0.75L, 1.25L, 1.28722291002649188575873510790565441L, 1.17210635989270256101081285116138863L);
   TEST_c_c (csin, -2, -3, -9.1544991469114295734L, 4.1689069599665643507L);
 
   END (csin, complex);
@@ -2121,12 +2135,13 @@ csinh_test (void)
 
   TEST_c_c (csinh, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (csinh, 0.7L, 1.2L, 0.27487868678117583582L, 1.1698665727426565139L);
+  TEST_c_c (csinh, 0.75L, 1.25L, 0.259294854551162779153349830618433028L, 1.22863452409509552219214606515777594L);
   TEST_c_c (csinh, -2, -3, 3.5905645899857799520L, -0.5309210862485198052L);
 
   END (csinh, complex);
 }
 
+
 static void
 csqrt_test (void)
 {
@@ -2186,7 +2201,7 @@ csqrt_test (void)
   TEST_c_c (csqrt, -1, 0, 0.0, 1.0);
   TEST_c_c (csqrt, 0, 2, 1.0, 1.0);
   TEST_c_c (csqrt, 119, 120, 12.0, 5.0);
-  TEST_c_c (csqrt, 0.7L, 1.2L, 1.022067610030026450706487883081139L, 0.58704531296356521154977678719838035L);
+  TEST_c_c (csqrt, 0.75L, 1.25L, 1.05065169626078392338656675760808326L, 0.594868882070379067881984030639932657L);
   TEST_c_c (csqrt, -2, -3, 0.89597747612983812471573375529004348L, -1.6741492280355400404480393008490519L);
   TEST_c_c (csqrt, -2, 3, 0.89597747612983812471573375529004348L, 1.6741492280355400404480393008490519L);
 
@@ -2244,7 +2259,7 @@ ctan_test (void)
 
   TEST_c_c (ctan, nan_value, nan_value, nan_value, nan_value);
 
-  TEST_c_c (ctan, 0.7L, 1.2L, 0.1720734197630349001L, 0.9544807059989405538L);
+  TEST_c_c (ctan, 0.75L, 1.25L, 0.160807785916206426725166058173438663L, 0.975363285031235646193581759755216379L);
   TEST_c_c (ctan, -2, -3, 0.0037640256415042482L, -1.0032386273536098014L);
 
   END (ctan, complex);
@@ -2303,12 +2318,13 @@ ctanh_test (void)
 
   TEST_c_c (ctanh, 0, M_PI_4l, 0.0, 1.0);
 
-  TEST_c_c (ctanh, 0.7L, 1.2L, 1.3472197399061191630L, 0.4778641038326365540L);
+  TEST_c_c (ctanh, 0.75L, 1.25L, 1.37260757053378320258048606571226857L, 0.385795952609750664177596760720790220L);
   TEST_c_c (ctanh, -2, -3, -0.9653858790221331242L, 0.0098843750383224937L);
 
   END (ctanh, complex);
 }
 
+
 static void
 erf_test (void)
 {
@@ -2326,12 +2342,12 @@ erf_test (void)
   TEST_f_f (erf, minus_infty, -1);
   TEST_f_f (erf, nan_value, nan_value);
 
-  TEST_f_f (erf, 0.7L, 0.67780119383741847297L);
-
-  TEST_f_f (erf, 1.2L, 0.91031397822963538024L);
-  TEST_f_f (erf, 2.0, 0.99532226501895273416L);
-  TEST_f_f (erf, 4.1L, 0.99999999329997234592L);
-  TEST_f_f (erf, 27, 1.0L);
+  TEST_f_f (erf, 0.125L, 0.140316204801333817393029446521623398L);
+  TEST_f_f (erf, 0.75L, 0.711155633653515131598937834591410777L);
+  TEST_f_f (erf, 1.25L, 0.922900128256458230136523481197281140L);
+  TEST_f_f (erf, 2.0L, 0.995322265018952734162069256367252929L);
+  TEST_f_f (erf, 4.125L, 0.999999994576599200434933994687765914L);
+  TEST_f_f (erf, 27.0L, 1.0L);
 
   END (erf);
 }
@@ -2354,16 +2370,20 @@ erfc_test (void)
   TEST_f_f (erfc, minus_zero, 1.0);
   TEST_f_f (erfc, nan_value, nan_value);
 
-  TEST_f_f (erfc, 0.7L, 0.32219880616258152702L);
-
-  TEST_f_f (erfc, 1.2L, 0.089686021770364619762L);
-  TEST_f_f (erfc, 2.0, 0.0046777349810472658379L);
-  TEST_f_f (erfc, 4.1L, 0.67000276540848983727e-8L);
-  TEST_f_f (erfc, 9, 0.41370317465138102381e-36L);
+  TEST_f_f (erfc, 0.125L, 0.859683795198666182606970553478376602L);
+  TEST_f_f (erfc, 0.75L, 0.288844366346484868401062165408589223L);
+  TEST_f_f (erfc, 1.25L, 0.0770998717435417698634765188027188596L);
+  TEST_f_f (erfc, 2.0L, 0.00467773498104726583793074363274707139L);
+  TEST_f_f (erfc, 4.125L, 0.542340079956506600531223408575531062e-8L);
+#ifdef TEST_LDOUBLE
+  /* The result can only be represented in long double.  */
+  TEST_f_f (erfc, 27.0L, 0.523704892378925568501606768284954709e-318L);
+#endif
 
   END (erfc);
 }
 
+
 static void
 exp_test (void)
 {
@@ -2387,12 +2407,13 @@ exp_test (void)
 
   TEST_f_f (exp, 2, M_E2l);
   TEST_f_f (exp, 3, M_E3l);
-  TEST_f_f (exp, 0.7L, 2.0137527074704765216L);
+  TEST_f_f (exp, 0.75L, 2.11700001661267466854536981983709561L);
   TEST_f_f (exp, 50.0L, 5184705528587072464087.45332293348538L);
 #ifdef TEST_LDOUBLE
   /* The result can only be represented in long double.  */
   TEST_f_f (exp, 1000.0L, 0.197007111401704699388887935224332313e435L);
 #endif
+
   END (exp);
 }
 
@@ -2418,11 +2439,12 @@ exp10_test (void)
   TEST_f_f (exp10, -1, 0.1L);
   TEST_f_f (exp10, 1e6, plus_infty);
   TEST_f_f (exp10, -1e6, 0);
-  TEST_f_f (exp10, 0.7L, 5.0118723362727228500155418688494574L);
+  TEST_f_f (exp10, 0.75L, 5.62341325190349080394951039776481231L);
 
   END (exp10);
 }
 
+
 static void
 exp2_test (void)
 {
@@ -2444,11 +2466,12 @@ exp2_test (void)
   TEST_f_f (exp2, -1, 0.5);
   TEST_f_f (exp2, 1e6, plus_infty);
   TEST_f_f (exp2, -1e6, 0);
-  TEST_f_f (exp2, 0.7L, 1.6245047927124710452L);
+  TEST_f_f (exp2, 0.75L, 1.68179283050742908606225095246642979L);
 
   END (exp2);
 }
 
+
 static void
 expm1_test (void)
 {
@@ -2470,11 +2493,12 @@ expm1_test (void)
   TEST_f_f (expm1, nan_value, nan_value);
 
   TEST_f_f (expm1, 1, M_El - 1.0);
-  TEST_f_f (expm1, 0.7L, 1.0137527074704765216L);
+  TEST_f_f (expm1, 0.75L, 1.11700001661267466854536981983709561L);
 
   END (expm1);
 }
 
+
 static void
 fabs_test (void)
 {
@@ -2493,6 +2517,7 @@ fabs_test (void)
   END (fabs);
 }
 
+
 static void
 fdim_test (void)
 {
@@ -2527,6 +2552,7 @@ fdim_test (void)
   END (fdim);
 }
 
+
 static void
 floor_test (void)
 {
@@ -2544,6 +2570,7 @@ floor_test (void)
   END (floor);
 }
 
+
 static void
 fma_test (void)
 {
@@ -2567,6 +2594,8 @@ fma_test (void)
   TEST_fff_f (fma, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION);
   TEST_fff_f (fma, minus_infty, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION);
 
+  TEST_fff_f (fma, 1.25L, 0.75L, 0.0625L, 1.0L);
+
   END (fma);
 }
 
@@ -2679,14 +2708,15 @@ fmod_test (void)
 
   TEST_ff_f (fmod, nan_value, nan_value, nan_value);
 
-  TEST_ff_f (fmod, 6.5, 2.3L, 1.9L);
-  TEST_ff_f (fmod, -6.5, 2.3L, -1.9L);
-  TEST_ff_f (fmod, 6.5, -2.3L, 1.9L);
-  TEST_ff_f (fmod, -6.5, -2.3L, -1.9L);
+  TEST_ff_f (fmod, 6.5, 2.25L, 2.0L);
+  TEST_ff_f (fmod, -6.5, 2.25L, -2.0L);
+  TEST_ff_f (fmod, 6.5, -2.25L, 2.0L);
+  TEST_ff_f (fmod, -6.5, -2.25L, -2.0L);
 
   END (fmod);
 }
 
+
 static void
 fpclassify_test (void)
 {
@@ -2786,11 +2816,11 @@ hypot_test (void)
   TEST_ff_f (hypot, -12.4L, -0.7L, 12.419742348374220601176836866763271L);
 
   /*  hypot (x,0) == fabs (x)  */
-  TEST_ff_f (hypot, 0.7L, 0, 0.7L);
-  TEST_ff_f (hypot, -0.7L, 0, 0.7L);
+  TEST_ff_f (hypot, 0.75L, 0, 0.75L);
+  TEST_ff_f (hypot, -0.75L, 0, 0.75L);
   TEST_ff_f (hypot, -5.7e7, 0, 5.7e7L);
 
-  TEST_ff_f (hypot, 0.7L, 1.2L, 1.3892443989449804508432547041028554L);
+  TEST_ff_f (hypot, 0.75L, 1.25L, 1.45773797371132511771853821938639577L);
 
   END (hypot);
 }
@@ -2866,15 +2896,15 @@ j0_test (void)
   /* j0 is the Bessel function of the first kind of order 0 */
   TEST_f_f (j0, nan_value, nan_value);
   TEST_f_f (j0, plus_infty, 0);
-  TEST_f_f (j0, -1.0, 0.76519768655796655145L);
+  TEST_f_f (j0, -1.0, 0.765197686557966551449717526102663221L);
   TEST_f_f (j0, 0.0, 1.0);
-  TEST_f_f (j0, 0.1L, 0.99750156206604003228L);
-  TEST_f_f (j0, 0.7L, 0.88120088860740528084L);
-  TEST_f_f (j0, 1.0, 0.76519768655796655145L);
-  TEST_f_f (j0, 1.5, 0.51182767173591812875L);
-  TEST_f_f (j0, 2.0, 0.22389077914123566805L);
-  TEST_f_f (j0, 8.0, 0.17165080713755390609L);
-  TEST_f_f (j0, 10.0, -0.24593576445134833520L);
+  TEST_f_f (j0, 0.125L, 0.996097563041985204620768999453174712L);
+  TEST_f_f (j0, 0.75L, 0.864242275166648623555731103820923211L);
+  TEST_f_f (j0, 1.0, 0.765197686557966551449717526102663221L);
+  TEST_f_f (j0, 1.5, 0.511827671735918128749051744283411720L);
+  TEST_f_f (j0, 2.0, 0.223890779141235668051827454649948626L);
+  TEST_f_f (j0, 8.0, 0.171650807137553906090869407851972001L);
+  TEST_f_f (j0, 10.0, -0.245935764451348335197760862485328754L);
   TEST_f_f (j0, 4.0, -3.9714980986384737228659076845169804197562E-1L);
   TEST_f_f (j0, -4.0, -3.9714980986384737228659076845169804197562E-1L);
 
@@ -2903,15 +2933,15 @@ j1_test (void)
   TEST_f_f (j1, nan_value, nan_value);
   TEST_f_f (j1, plus_infty, 0);
 
-  TEST_f_f (j1, -1.0, -0.44005058574493351596L);
+  TEST_f_f (j1, -1.0, -0.440050585744933515959682203718914913L);
   TEST_f_f (j1, 0.0, 0.0);
-  TEST_f_f (j1, 0.1L, 0.049937526036241997556L);
-  TEST_f_f (j1, 0.7L, 0.32899574154005894785L);
-  TEST_f_f (j1, 1.0, 0.44005058574493351596L);
-  TEST_f_f (j1, 1.5, 0.55793650791009964199L);
-  TEST_f_f (j1, 2.0, 0.57672480775687338720L);
-  TEST_f_f (j1, 8.0, 0.23463634685391462438L);
-  TEST_f_f (j1, 10.0, 0.043472746168861436670L);
+  TEST_f_f (j1, 0.125L, 0.0623780091344946810942311355879361177L);
+  TEST_f_f (j1, 0.75L, 0.349243602174862192523281016426251335L);
+  TEST_f_f (j1, 1.0, 0.440050585744933515959682203718914913L);
+  TEST_f_f (j1, 1.5, 0.557936507910099641990121213156089400L);
+  TEST_f_f (j1, 2.0, 0.576724807756873387202448242269137087L);
+  TEST_f_f (j1, 8.0, 0.234636346853914624381276651590454612L);
+  TEST_f_f (j1, 10.0, 0.0434727461688614366697487680258592883L);
 
   END (j1);
 }
@@ -2936,53 +2966,54 @@ jn_test (void)
   /* jn (0, x) == j0 (x)  */
   TEST_ff_f (jn, 0, nan_value, nan_value);
   TEST_ff_f (jn, 0, plus_infty, 0);
-  TEST_ff_f (jn, 0, -1.0, 0.76519768655796655145L);
+  TEST_ff_f (jn, 0, -1.0, 0.765197686557966551449717526102663221L);
   TEST_ff_f (jn, 0, 0.0, 1.0);
-  TEST_ff_f (jn, 0, 0.1L, 0.99750156206604003228L);
-  TEST_ff_f (jn, 0, 0.7L, 0.88120088860740528084L);
-  TEST_ff_f (jn, 0, 1.0, 0.76519768655796655145L);
-  TEST_ff_f (jn, 0, 1.5, 0.51182767173591812875L);
-  TEST_ff_f (jn, 0, 2.0, 0.22389077914123566805L);
-  TEST_ff_f (jn, 0, 8.0, 0.17165080713755390609L);
-  TEST_ff_f (jn, 0, 10.0, -0.24593576445134833520L);
+  TEST_ff_f (jn, 0, 0.125L, 0.996097563041985204620768999453174712L);
+  TEST_ff_f (jn, 0, 0.75L, 0.864242275166648623555731103820923211L);
+  TEST_ff_f (jn, 0, 1.0, 0.765197686557966551449717526102663221L);
+  TEST_ff_f (jn, 0, 1.5, 0.511827671735918128749051744283411720L);
+  TEST_ff_f (jn, 0, 2.0, 0.223890779141235668051827454649948626L);
+  TEST_ff_f (jn, 0, 8.0, 0.171650807137553906090869407851972001L);
+  TEST_ff_f (jn, 0, 10.0, -0.245935764451348335197760862485328754L);
+  TEST_ff_f (jn, 0, 4.0, -3.97149809863847372286590768