Fix casinh inaccuracy near i, imaginary part > 1 (bug 15307).

1 files changed, 368 insertions, 0 deletions

diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index b0e42536b1..f370aebcbb 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -244,6 +244,12 @@ ifloat: 1
 Test "Imaginary part of: cacos (-0 - 1.5 i) == pi/2 + 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Imaginary part of: cacos (-0.0 + 0x1.000002p0 i) == 1.570796326794896619231321691639751442099 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (-0.0 - 0x1.000002p0 i) == 1.570796326794896619231321691639751442099 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: cacos (-0.25 + 1.0 i) == 1.747098759571863549650000258275841544745 - 8.924633639033482359562124741744951972772e-1 i":
 double: 1
 float: 1
@@ -280,6 +286,36 @@ double: 1
 idouble: 1
 ildouble: 1
 ldouble: 1
+Test "Imaginary part of: cacos (-0x1.0000000000000002p0 + 0x1p-63 i) == 3.141592653377875508152537040020250564229 - 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: cacos (-0x1.0000000000000002p0 - 0x1p-63 i) == 3.141592653377875508152537040020250564229 + 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: cacos (-0x1.0000000000001p0 + 0.0 i) == 3.141592653589793238462643383279502884197 - 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (-0x1.0000000000001p0 + 0x1.fp-1025 i) == 3.141592653589793238462643383279502884197 - 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (-0x1.0000000000001p0 + 0x1p-52 i) == 3.141592643999491532482601997450598791535 - 2.315303644582684770975188768022139415020e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (-0x1.0000000000001p0 - 0.0 i) == 3.141592653589793238462643383279502884197 + 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (-0x1.0000000000001p0 - 0x1.fp-1025 i) == 3.141592653589793238462643383279502884197 + 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (-0x1.0000000000001p0 - 0x1p-52 i) == 3.141592643999491532482601997450598791535 + 2.315303644582684770975188768022139415020e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (-0x1.000002p0 + 0x1p-23 i) == 3.141370441751352383825802745874586120521 - 5.364668491573609633134147164031476452679e-4 i":
+float: 1
+ifloat: 1
+Test "Imaginary part of: cacos (-0x1.000002p0 - 0x1p-23 i) == 3.141370441751352383825802745874586120521 + 5.364668491573609633134147164031476452679e-4 i":
+float: 1
+ifloat: 1
 Test "Imaginary part of: cacos (-0x1.fp-10 + 1.0 i) == 1.572134236154454360143880041170803681211 - 8.813742198809567991336704287826445879025e-1 i":
 double: 1
 idouble: 1
@@ -324,6 +360,12 @@ idouble: 1
 Test "Imaginary part of: cacos (-0x1.fp-1025 - 1.5 i) == 1.570796326794896619231321691639751442099 + 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Real part of: cacos (-0x1.fp-129 + 0x1.000002p0 i) == 1.570796326794896619231321691639751442101 - 8.813736713132375348727889167749389235161e-1 i":
+float: 1
+ifloat: 1
+Test "Imaginary part of: cacos (-0x1.fp-129 + 0x1.000002p0 i) == 1.570796326794896619231321691639751442101 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: cacos (-0x1.fp-129 + 1.0 i) == 1.570796326794896619231321691639751442101 - 8.813735870195430252326093249797923090282e-1 i":
 float: 1
 ifloat: 1
@@ -338,6 +380,12 @@ ifloat: 1
 Test "Imaginary part of: cacos (-0x1.fp-129 + 1.5 i) == 1.570796326794896619231321691639751442100 - 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Real part of: cacos (-0x1.fp-129 - 0x1.000002p0 i) == 1.570796326794896619231321691639751442101 + 8.813736713132375348727889167749389235161e-1 i":
+float: 1
+ifloat: 1
+Test "Imaginary part of: cacos (-0x1.fp-129 - 0x1.000002p0 i) == 1.570796326794896619231321691639751442101 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: cacos (-0x1.fp-129 - 1.0 i) == 1.570796326794896619231321691639751442101 + 8.813735870195430252326093249797923090282e-1 i":
 float: 1
 ifloat: 1
@@ -431,6 +479,12 @@ ldouble: 1
 Test "Real part of: cacos (-2 - 3 i) == 2.1414491111159960199416055713254211 + 1.9833870299165354323470769028940395 i":
 float: 1
 ifloat: 1
+Test "Imaginary part of: cacos (0.0 + 0x1.000002p0 i) == 1.570796326794896619231321691639751442099 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (0.0 - 0x1.000002p0 i) == 1.570796326794896619231321691639751442099 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: cacos (0.25 + 1.0 i) == 1.394493894017929688812643125003661339452 - 8.924633639033482359562124741744951972772e-1 i":
 float: 1
 ifloat: 1
@@ -475,6 +529,58 @@ float: 1
 ifloat: 1
 ildouble: 2
 ldouble: 2
+Test "Real part of: cacos (0x1.0000000000000002p0 + 0x1p-63 i) == 2.119177303101063432592523199680782317447e-10 - 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (0x1.0000000000000002p0 + 0x1p-63 i) == 2.119177303101063432592523199680782317447e-10 - 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 2
+ldouble: 2
+Test "Real part of: cacos (0x1.0000000000000002p0 - 0x1p-63 i) == 2.119177303101063432592523199680782317447e-10 + 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (0x1.0000000000000002p0 - 0x1p-63 i) == 2.119177303101063432592523199680782317447e-10 + 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: cacos (0x1.0000000000001p0 + 0.0 i) == 0.0 - 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (0x1.0000000000001p0 + 0x1.fp-1025 i) == 2.557178503953494342609835913586108008322e-301 - 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: cacos (0x1.0000000000001p0 + 0x1p-52 i) == 9.590301705980041385828904092662391018164e-9 - 2.315303644582684770975188768022139415020e-8 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (0x1.0000000000001p0 + 0x1p-52 i) == 9.590301705980041385828904092662391018164e-9 - 2.315303644582684770975188768022139415020e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (0x1.0000000000001p0 - 0.0 i) == 0.0 + 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (0x1.0000000000001p0 - 0x1.fp-1025 i) == 2.557178503953494342609835913586108008322e-301 + 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: cacos (0x1.0000000000001p0 - 0x1p-52 i) == 9.590301705980041385828904092662391018164e-9 + 2.315303644582684770975188768022139415020e-8 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: cacos (0x1.0000000000001p0 - 0x1p-52 i) == 9.590301705980041385828904092662391018164e-9 + 2.315303644582684770975188768022139415020e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: cacos (0x1.000002p0 + 0x1p-23 i) == 2.222118384408546368406374049167636760903e-4 - 5.364668491573609633134147164031476452679e-4 i":
+float: 2
+ifloat: 2
+Test "Imaginary part of: cacos (0x1.000002p0 + 0x1p-23 i) == 2.222118384408546368406374049167636760903e-4 - 5.364668491573609633134147164031476452679e-4 i":
+float: 1
+ifloat: 1
+Test "Real part of: cacos (0x1.000002p0 - 0x1p-23 i) == 2.222118384408546368406374049167636760903e-4 + 5.364668491573609633134147164031476452679e-4 i":
+float: 2
+ifloat: 2
+Test "Imaginary part of: cacos (0x1.000002p0 - 0x1p-23 i) == 2.222118384408546368406374049167636760903e-4 + 5.364668491573609633134147164031476452679e-4 i":
+float: 1
+ifloat: 1
 Test "Imaginary part of: cacos (0x1.fp-10 + 1.0 i) == 1.569458417435338878318763342108699202986 - 8.813742198809567991336704287826445879025e-1 i":
 double: 1
 idouble: 1
@@ -513,6 +619,9 @@ idouble: 1
 Test "Imaginary part of: cacos (0x1.fp-1025 - 1.5 i) == 1.570796326794896619231321691639751442099 + 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Imaginary part of: cacos (0x1.fp-129 + 0x1.000002p0 i) == 1.570796326794896619231321691639751442097 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: cacos (0x1.fp-129 + 1.0 i) == 1.570796326794896619231321691639751442097 - 8.813735870195430252326093249797923090282e-1 i":
 double: 1
 float: 1
@@ -521,6 +630,9 @@ ifloat: 1
 Test "Imaginary part of: cacos (0x1.fp-129 + 1.5 i) == 1.570796326794896619231321691639751442097 - 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Imaginary part of: cacos (0x1.fp-129 - 0x1.000002p0 i) == 1.570796326794896619231321691639751442097 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: cacos (0x1.fp-129 - 1.0 i) == 1.570796326794896619231321691639751442097 + 8.813735870195430252326093249797923090282e-1 i":
 double: 1
 float: 1
@@ -784,6 +896,12 @@ ifloat: 1
 Test "Imaginary part of: casin (-0 - 1.5 i) == -0 - 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Imaginary part of: casin (-0.0 + 0x1.000002p0 i) == -0.0 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0.0 - 0x1.000002p0 i) == -0.0 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: casin (-0.25 + 1.0 i) == -1.763024327769669304186785666360901026468e-1 + 8.924633639033482359562124741744951972772e-1 i":
 float: 1
 ifloat: 1
@@ -810,6 +928,36 @@ double: 1
 idouble: 1
 ildouble: 1
 ldouble: 1
+Test "Imaginary part of: casin (-0x1.0000000000000002p0 + 0x1p-63 i) == -1.570796326582978888921215348380499122131 + 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: casin (-0x1.0000000000000002p0 - 0x1p-63 i) == -1.570796326582978888921215348380499122131 - 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: casin (-0x1.0000000000001p0 + 0.0 i) == -1.570796326794896619231321691639751442099 + 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0x1.0000000000001p0 + 0x1.fp-1025 i) == -1.570796326794896619231321691639751442099 + 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0x1.0000000000001p0 + 0x1p-52 i) == -1.570796317204594913251280305810847349436 + 2.315303644582684770975188768022139415020e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0x1.0000000000001p0 - 0.0 i) == -1.570796326794896619231321691639751442099 - 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0x1.0000000000001p0 - 0x1.fp-1025 i) == -1.570796326794896619231321691639751442099 - 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0x1.0000000000001p0 - 0x1p-52 i) == -1.570796317204594913251280305810847349436 - 2.315303644582684770975188768022139415020e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0x1.000002p0 + 0x1p-23 i) == -1.570574114956455764594481054234834678422 + 5.364668491573609633134147164031476452679e-4 i":
+float: 1
+ifloat: 1
+Test "Imaginary part of: casin (-0x1.000002p0 - 0x1p-23 i) == -1.570574114956455764594481054234834678422 - 5.364668491573609633134147164031476452679e-4 i":
+float: 1
+ifloat: 1
 Test "Real part of: casin (-0x1.fp-10 + 1.0 i) == -1.337909359557740912558349531052239112857e-3 + 8.813742198809567991336704287826445879025e-1 i":
 float: 1
 ifloat: 1
@@ -854,6 +1002,12 @@ idouble: 1
 Test "Imaginary part of: casin (-0x1.fp-1025 - 1.5 i) == -2.989196569048182929051881765490354365918e-309 - 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Real part of: casin (-0x1.fp-129 + 0x1.000002p0 i) == -2.013062444707472738895109955455676357057e-39 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0x1.fp-129 + 0x1.000002p0 i) == -2.013062444707472738895109955455676357057e-39 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: casin (-0x1.fp-129 + 1.0 i) == -2.013062564695348242280482517399205554874e-39 + 8.813735870195430252326093249797923090282e-1 i":
 double: 1
 float: 1
@@ -862,6 +1016,12 @@ ifloat: 1
 Test "Imaginary part of: casin (-0x1.fp-129 + 1.5 i) == -1.579176199917649005841160751101628985741e-39 + 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Real part of: casin (-0x1.fp-129 - 0x1.000002p0 i) == -2.013062444707472738895109955455676357057e-39 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (-0x1.fp-129 - 0x1.000002p0 i) == -2.013062444707472738895109955455676357057e-39 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: casin (-0x1.fp-129 - 1.0 i) == -2.013062564695348242280482517399205554874e-39 - 8.813735870195430252326093249797923090282e-1 i":
 double: 1
 float: 1
@@ -890,6 +1050,22 @@ idouble: 1
 ifloat: 1
 ildouble: 1
 ldouble: 1
+Test "Real part of: casin (-0x1p-23 + 0x1.000002p0 i) == -8.429369199749229560964789467980644296420e-8 + 8.813736713132400470205730751186547909968e-1 i":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+Test "Real part of: casin (-0x1p-23 - 0x1.000002p0 i) == -8.429369199749229560964789467980644296420e-8 - 8.813736713132400470205730751186547909968e-1 i":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+Test "Real part of: casin (-0x1p-63 + 0x1.0000000000000002p0 i) == -7.666467083416870406778649849746878368519e-20 + 8.813735870195430253092739958139610131001e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casin (-0x1p-63 - 0x1.0000000000000002p0 i) == -7.666467083416870406778649849746878368519e-20 - 8.813735870195430253092739958139610131001e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: casin (-1.0 + 0.25 i) == -1.081751996523816326311037318425097434186 + 5.097911466811016354623559941115413499164e-1 i":
 double: 1
 idouble: 1
@@ -956,6 +1132,12 @@ ldouble: 1
 Test "Imaginary part of: casin (-1.5 - 0x1.fp-16385 i) == -1.570796326794896619231321691639751442099 - 9.624236501192068949955178268487368462704e-1 i":
 ildouble: 1
 ldouble: 1
+Test "Imaginary part of: casin (0.0 + 0x1.000002p0 i) == 0.0 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0.0 - 0x1.000002p0 i) == 0.0 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: casin (0.25 + 1.0 i) == 1.763024327769669304186785666360901026468e-1 + 8.924633639033482359562124741744951972772e-1 i":
 float: 1
 ifloat: 1
@@ -994,6 +1176,36 @@ float: 1
 ifloat: 1
 ildouble: 2
 ldouble: 2
+Test "Imaginary part of: casin (0x1.0000000000000002p0 + 0x1p-63 i) == 1.570796326582978888921215348380499122131 + 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: casin (0x1.0000000000000002p0 - 0x1p-63 i) == 1.570796326582978888921215348380499122131 - 5.116146586219826555037807251857670783420e-10 i":
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: casin (0x1.0000000000001p0 + 0.0 i) == 1.570796326794896619231321691639751442099 + 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0x1.0000000000001p0 + 0x1.fp-1025 i) == 1.570796326794896619231321691639751442099 + 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0x1.0000000000001p0 + 0x1p-52 i) == 1.570796317204594913251280305810847349436 + 2.315303644582684770975188768022139415020e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0x1.0000000000001p0 - 0.0 i) == 1.570796326794896619231321691639751442099 - 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0x1.0000000000001p0 - 0x1.fp-1025 i) == 1.570796326794896619231321691639751442099 - 2.107342425544701550354780375182800088393e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0x1.0000000000001p0 - 0x1p-52 i) == 1.570796317204594913251280305810847349436 - 2.315303644582684770975188768022139415020e-8 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0x1.000002p0 + 0x1p-23 i) == 1.570574114956455764594481054234834678422 + 5.364668491573609633134147164031476452679e-4 i":
+float: 1
+ifloat: 1
+Test "Imaginary part of: casin (0x1.000002p0 - 0x1p-23 i) == 1.570574114956455764594481054234834678422 - 5.364668491573609633134147164031476452679e-4 i":
+float: 1
+ifloat: 1
 Test "Real part of: casin (0x1.fp-10 + 1.0 i) == 1.337909359557740912558349531052239112857e-3 + 8.813742198809567991336704287826445879025e-1 i":
 float: 1
 ifloat: 1
@@ -1038,6 +1250,12 @@ idouble: 1
 Test "Imaginary part of: casin (0x1.fp-1025 - 1.5 i) == 2.989196569048182929051881765490354365918e-309 - 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Real part of: casin (0x1.fp-129 + 0x1.000002p0 i) == 2.013062444707472738895109955455676357057e-39 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0x1.fp-129 + 0x1.000002p0 i) == 2.013062444707472738895109955455676357057e-39 + 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: casin (0x1.fp-129 + 1.0 i) == 2.013062564695348242280482517399205554874e-39 + 8.813735870195430252326093249797923090282e-1 i":
 double: 1
 float: 1
@@ -1046,6 +1264,12 @@ ifloat: 1
 Test "Imaginary part of: casin (0x1.fp-129 + 1.5 i) == 1.579176199917649005841160751101628985741e-39 + 1.194763217287109304111930828519090523536 i":
 double: 1
 idouble: 1
+Test "Real part of: casin (0x1.fp-129 - 0x1.000002p0 i) == 2.013062444707472738895109955455676357057e-39 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casin (0x1.fp-129 - 0x1.000002p0 i) == 2.013062444707472738895109955455676357057e-39 - 8.813736713132375348727889167749389235161e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: casin (0x1.fp-129 - 1.0 i) == 2.013062564695348242280482517399205554874e-39 - 8.813735870195430252326093249797923090282e-1 i":
 double: 1
 float: 1
@@ -1080,6 +1304,22 @@ idouble: 1
 Test "Imaginary part of: casin (0x1.fp127 + 0x1.fp127 i) == 7.853981633974483096156608458198757210493e-1 + 8.973081118419833726837456344608533993585e1 i":
 double: 1
 idouble: 1
+Test "Real part of: casin (0x1p-23 + 0x1.000002p0 i) == 8.429369199749229560964789467980644296420e-8 + 8.813736713132400470205730751186547909968e-1 i":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+Test "Real part of: casin (0x1p-23 - 0x1.000002p0 i) == 8.429369199749229560964789467980644296420e-8 - 8.813736713132400470205730751186547909968e-1 i":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+Test "Real part of: casin (0x1p-63 + 0x1.0000000000000002p0 i) == 7.666467083416870406778649849746878368519e-20 + 8.813735870195430253092739958139610131001e-1 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casin (0x1p-63 - 0x1.0000000000000002p0 i) == 7.666467083416870406778649849746878368519e-20 - 8.813735870195430253092739958139610131001e-1 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: casin (1.0 + 0.25 i) == 1.081751996523816326311037318425097434186 + 5.097911466811016354623559941115413499164e-1 i":
 double: 1
 idouble: 1
@@ -1168,6 +1408,12 @@ idouble: 1
 ifloat: 1
 ildouble: 1
 ldouble: 1
+Test "Real part of: casinh (-0.0 + 0x1.0000000000001p0 i) == -2.107342425544701550354780375182800088393e-8 + 1.570796326794896619231321691639751442099 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (-0.0 - 0x1.0000000000001p0 i) == -2.107342425544701550354780375182800088393e-8 - 1.570796326794896619231321691639751442099 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: casinh (-0.25 + 1.0 i) == -5.097911466811016354623559941115413499164e-1 + 1.081751996523816326311037318425097434186 i":
 double: 1
 idouble: 1
@@ -1208,15 +1454,55 @@ float: 1
 ifloat: 1
 ildouble: 1
 ldouble: 1
+Test "Imaginary part of: casinh (-0x1.0000000000000002p0 + 0x1p-63 i) == -8.813735870195430253092739958139610131001e-1 + 7.666467083416870406778649849746878368519e-20 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (-0x1.0000000000000002p0 - 0x1p-63 i) == -8.813735870195430253092739958139610131001e-1 - 7.666467083416870406778649849746878368519e-20 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (-0x1.000002p0 + 0.0 i) == -8.813736713132375348727889167749389235161e-1 + 0.0 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (-0x1.000002p0 + 0x1.fp-129 i) == -8.813736713132375348727889167749389235161e-1 + 2.013062444707472738895109955455676357057e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (-0x1.000002p0 + 0x1.fp-129 i) == -8.813736713132375348727889167749389235161e-1 + 2.013062444707472738895109955455676357057e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (-0x1.000002p0 + 0x1p-23 i) == -8.813736713132400470205730751186547909968e-1 + 8.429369199749229560964789467980644296420e-8 i":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+Test "Real part of: casinh (-0x1.000002p0 - 0.0 i) == -8.813736713132375348727889167749389235161e-1 - 0.0 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (-0x1.000002p0 - 0x1.fp-129 i) == -8.813736713132375348727889167749389235161e-1 - 2.013062444707472738895109955455676357057e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (-0x1.000002p0 - 0x1.fp-129 i) == -8.813736713132375348727889167749389235161e-1 - 2.013062444707472738895109955455676357057e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (-0x1.000002p0 - 0x1p-23 i) == -8.813736713132400470205730751186547909968e-1 - 8.429369199749229560964789467980644296420e-8 i":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
 Test "Real part of: casinh (-0x1.fp-10 + 1.0 i) == -4.350501469856803800217957402220976497152e-2 + 1.527305029163877791518741192097931722508 i":
 float: 1
 ifloat: 1
 Test "Real part of: casinh (-0x1.fp-10 - 1.0 i) == -4.350501469856803800217957402220976497152e-2 - 1.527305029163877791518741192097931722508 i":
 float: 1
 ifloat: 1
+Test "Real part of: casinh (-0x1.fp-1025 + 0x1.0000000000001p0 i) == -2.107342425544701550354780375182800088393e-8 + 1.570796326794896619231321691639751442099 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: casinh (-0x1.fp-1025 + 1.5 i) == -9.624236501192068949955178268487368462704e-1 + 1.570796326794896619231321691639751442099 i":
 ildouble: 1
 ldouble: 1
+Test "Real part of: casinh (-0x1.fp-1025 - 0x1.0000000000001p0 i) == -2.107342425544701550354780375182800088393e-8 - 1.570796326794896619231321691639751442099 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: casinh (-0x1.fp-1025 - 1.5 i) == -9.624236501192068949955178268487368462704e-1 - 1.570796326794896619231321691639751442099 i":
 ildouble: 1
 ldouble: 1
@@ -1238,6 +1524,24 @@ ldouble: 1
 Test "Real part of: casinh (-0x1.fp-30 - 1.0 i) == -4.247867098745151888768727039216644758847e-5 - 1.570753848123921942730162693731872690232 i":
 ildouble: 1
 ldouble: 1
+Test "Real part of: casinh (-0x1p-23 + 0x1.000002p0 i) == -5.364668491573609633134147164031476452679e-4 + 1.570574114956455764594481054234834678422 i":
+float: 1
+ifloat: 1
+Test "Real part of: casinh (-0x1p-23 - 0x1.000002p0 i) == -5.364668491573609633134147164031476452679e-4 - 1.570574114956455764594481054234834678422 i":
+float: 1
+ifloat: 1
+Test "Real part of: casinh (-0x1p-52 + 0x1.0000000000001p0 i) == -2.315303644582684770975188768022139415020e-8 + 1.570796317204594913251280305810847349436 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (-0x1p-52 - 0x1.0000000000001p0 i) == -2.315303644582684770975188768022139415020e-8 - 1.570796317204594913251280305810847349436 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (-0x1p-63 + 0x1.0000000000000002p0 i) == -5.116146586219826555037807251857670783420e-10 + 1.570796326582978888921215348380499122131 i":
+ildouble: 2
+ldouble: 2
+Test "Real part of: casinh (-0x1p-63 - 0x1.0000000000000002p0 i) == -5.116146586219826555037807251857670783420e-10 - 1.570796326582978888921215348380499122131 i":
+ildouble: 2
+ldouble: 2
 Test "Real part of: casinh (-1.0 + +0 i) == -0.8813735870195430252326093249797923090282 + +0 i":
 double: 2
 float: 1
@@ -1382,6 +1686,12 @@ idouble: 3
 ifloat: 6
 ildouble: 5
 ldouble: 5
+Test "Real part of: casinh (0.0 + 0x1.0000000000001p0 i) == 2.107342425544701550354780375182800088393e-8 + 1.570796326794896619231321691639751442099 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (0.0 - 0x1.0000000000001p0 i) == 2.107342425544701550354780375182800088393e-8 - 1.570796326794896619231321691639751442099 i":
+ildouble: 1
+ldouble: 1
 Test "Imaginary part of: casinh (0.25 + 1.0 i) == 5.097911466811016354623559941115413499164e-1 + 1.081751996523816326311037318425097434186 i":
 double: 1
 idouble: 1
@@ -1428,15 +1738,55 @@ idouble: 1
 ifloat: 1
 ildouble: 1
 ldouble: 1
+Test "Imaginary part of: casinh (0x1.0000000000000002p0 + 0x1p-63 i) == 8.813735870195430253092739958139610131001e-1 + 7.666467083416870406778649849746878368519e-20 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (0x1.0000000000000002p0 - 0x1p-63 i) == 8.813735870195430253092739958139610131001e-1 - 7.666467083416870406778649849746878368519e-20 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (0x1.000002p0 + 0.0 i) == 8.813736713132375348727889167749389235161e-1 + 0.0 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (0x1.000002p0 + 0x1.fp-129 i) == 8.813736713132375348727889167749389235161e-1 + 2.013062444707472738895109955455676357057e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (0x1.000002p0 + 0x1.fp-129 i) == 8.813736713132375348727889167749389235161e-1 + 2.013062444707472738895109955455676357057e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (0x1.000002p0 + 0x1p-23 i) == 8.813736713132400470205730751186547909968e-1 + 8.429369199749229560964789467980644296420e-8 i":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+Test "Real part of: casinh (0x1.000002p0 - 0.0 i) == 8.813736713132375348727889167749389235161e-1 - 0.0 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (0x1.000002p0 - 0x1.fp-129 i) == 8.813736713132375348727889167749389235161e-1 - 2.013062444707472738895109955455676357057e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (0x1.000002p0 - 0x1.fp-129 i) == 8.813736713132375348727889167749389235161e-1 - 2.013062444707472738895109955455676357057e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: casinh (0x1.000002p0 - 0x1p-23 i) == 8.813736713132400470205730751186547909968e-1 - 8.429369199749229560964789467980644296420e-8 i":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
 Test "Real part of: casinh (0x1.fp-10 + 1.0 i) == 4.350501469856803800217957402220976497152e-2 + 1.527305029163877791518741192097931722508 i":
 float: 1
 ifloat: 1
 Test "Real part of: casinh (0x1.fp-10 - 1.0 i) == 4.350501469856803800217957402220976497152e-2 - 1.527305029163877791518741192097931722508 i":
 float: 1
 ifloat: 1
+Test "Real part of: casinh (0x1.fp-1025 + 0x1.0000000000001p0 i) == 2.107342425544701550354780375182800088393e-8 + 1.570796326794896619231321691639751442099 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: casinh (0x1.fp-1025 + 1.5 i) == 9.624236501192068949955178268487368462704e-1 + 1.570796326794896619231321691639751442099 i":
 ildouble: 1
 ldouble: 1
+Test "Real part of: casinh (0x1.fp-1025 - 0x1.0000000000001p0 i) == 2.107342425544701550354780375182800088393e-8 - 1.570796326794896619231321691639751442099 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: casinh (0x1.fp-1025 - 1.5 i) == 9.624236501192068949955178268487368462704e-1 - 1.570796326794896619231321691639751442099 i":
 ildouble: 1
 ldouble: 1
@@ -1464,6 +1814,24 @@ idouble: 1
 Test "Real part of: casinh (0x1.fp127 + 0x1.fp127 i) == 8.973081118419833726837456344608533993585e1 + 7.853981633974483096156608458198757210493e-1 i":
 double: 1
 idouble: 1
+Test "Real part of: casinh (0x1p-23 + 0x1.000002p0 i) == 5.364668491573609633134147164031476452679e-4 + 1.570574114956455764594481054234834678422 i":
+float: 1
+ifloat: 1
+Test "Real part of: casinh (0x1p-23 - 0x1.000002p0 i) == 5.364668491573609633134147164031476452679e-4 - 1.570574114956455764594481054234834678422 i":
+float: 1
+ifloat: 1
+Test "Real part of: casinh (0x1p-52 + 0x1.0000000000001p0 i) == 2.315303644582684770975188768022139415020e-8 + 1.570796317204594913251280305810847349436 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (0x1p-52 - 0x1.0000000000001p0 i) == 2.315303644582684770975188768022139415020e-8 - 1.570796317204594913251280305810847349436 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: casinh (0x1p-63 + 0x1.0000000000000002p0 i) == 5.116146586219826555037807251857670783420e-10 + 1.570796326582978888921215348380499122131 i":
+ildouble: 2
+ldouble: 2
+Test "Real part of: casinh (0x1p-63 - 0x1.0000000000000002p0 i) == 5.116146586219826555037807251857670783420e-10 - 1.570796326582978888921215348380499122131 i":
+ildouble: 2
+ldouble: 2
 Test "Real part of: casinh (1.0 + +0 i) == 0.8813735870195430252326093249797923090282 + +0 i":
 double: 1
 float: 1