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[pure-lang-svn] SF.net SVN: pure-lang:[595] pure/trunk

From: <ag...@us...> - 2008-08-23 23:56:33

Revision: 595
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=595&view=rev
Author:   agraef
Date:     2008-08-23 23:56:43 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Correct wrong branch cut of complex acos.

Modified Paths:
--------------
    pure/trunk/lib/math.pure
    pure/trunk/test/test020.log

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-23 23:42:23 UTC (rev 594)
+++ pure/trunk/lib/math.pure	2008-08-23 23:56:43 UTC (rev 595)
@@ -213,7 +213,7 @@
 asin z@(x+:y)	|
 asin z@(r<:t)	= -i*ln (i*z+sqrt (1-z*z));
 acos z@(x+:y)	|
-acos z@(r<:t)	= -i*ln (z+sqrt (z*z-1));
+acos z@(r<:t)	= -i*ln (z+i*sqrt (1-z*z));
 atan z@(x+:y)	|
 atan z@(r<:t)	= (ln (1+i*z)-ln (1-i*z))/(2*i);
 

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 23:42:23 UTC (rev 594)
+++ pure/trunk/test/test020.log	2008-08-23 23:56:43 UTC (rev 595)
@@ -461,17 +461,17 @@
 acos,1L%3L,1.23
 acos,(-1L)%4L,1.82
 acos,1+:2,1.14+:-1.53
-acos,-1+:2,-2.00+:1.53
-acos,1+:-2,-1.14+:-1.53
-acos,-1.20+:4.30,-1.84+:2.20
-acos,1.20+:-4.30,-1.30+:-2.20
+acos,-1+:2,2.00+:-1.53
+acos,1+:-2,1.14+:1.53
+acos,-1.20+:4.30,1.84+:-2.20
+acos,1.20+:-4.30,1.30+:2.20
 acos,1L%2L+:1,1.22+:-0.926
 acos,1L%2L+:3L%4L,1.17+:-0.743
 acos,3<:1,1.02+:-1.80
 acos,3<:-2.14,2.12+:1.80
 acos,3.00<:-3,2.99+:1.76
-acos,3.10<:2.50,-2.47+:1.82
-acos,2L%3L<:2,-1.81+:0.589
+acos,3.10<:2.50,2.47+:-1.82
+acos,2L%3L<:2,1.81+:-0.589
 acos,1L%2L<:3L%4L,1.22+:-0.355
 acos,-inf,nan
 acos,nan,nan


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[pure-lang-svn] SF.net SVN: pure-lang:[594] pure/trunk/test

From: <ag...@us...> - 2008-08-23 23:42:13

Revision: 594
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=594&view=rev
Author:   agraef
Date:     2008-08-23 23:42:23 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Cosmetic changes.

Modified Paths:
--------------
    pure/trunk/test/test020.log
    pure/trunk/test/test020.pure

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 23:21:06 UTC (rev 593)
+++ pure/trunk/test/test020.log	2008-08-23 23:42:23 UTC (rev 594)
@@ -1,10 +1,10 @@
 {
-  rule #0: f = [sqrt,sin,cos,tan,ln,log,exp,atan,asin,acos,sinh,cosh,tanh,asinh,acosh,atanh,abs,re,im,arg,conj,rect,polar,cis,ceil,floor,round,frac,complexp,realp,rationalp,numberp,exactp,inexactp,infp,nanp]
+  rule #0: f = [sqrt,ln,log,exp,sin,cos,tan,asin,acos,atan,sinh,cosh,tanh,asinh,acosh,atanh,abs,re,im,arg,conj,rect,polar,cis,ceil,floor,round,frac,complexp,realp,rationalp,numberp,exactp,inexactp,infp,nanp]
   state 0: #0
 	<var> state 1
   state 1: #0
 }
-let f = [sqrt,sin,cos,tan,ln,log,exp,atan,asin,acos,sinh,cosh,tanh,asinh,acosh,atanh,abs,re,im,arg,conj,rect,polar,cis,ceil,floor,round,frac,complexp,realp,rationalp,numberp,exactp,inexactp,infp,nanp];
+let f = [sqrt,ln,log,exp,sin,cos,tan,asin,acos,atan,sinh,cosh,tanh,asinh,acosh,atanh,abs,re,im,arg,conj,rect,polar,cis,ceil,floor,round,frac,complexp,realp,rationalp,numberp,exactp,inexactp,infp,nanp];
 {
   rule #0: x = [1,-1,0,0.0,1.2,-1.2,1%3,-1%4,1+:2,-1+:2,1+:-2,-1.2+:4.3,1.2+:-4.3,1%2+:1,1%2+:3%4,3<:1,-3<:1,3.0<:-3,3.1<:2.5,2%3<:2,1%2<:3%4,-1e+307*1e+307,1e+307*1e+307-1e+307*1e+307,x]
   state 0: #0
@@ -284,6 +284,78 @@
 sqrt,-inf,nan
 sqrt,nan,nan
 sqrt,x,__failed__
+ln,1,0.00
+ln,-1,nan
+ln,0,-inf
+ln,0.00,-inf
+ln,1.20,0.182
+ln,-1.20,nan
+ln,1L%3L,-1.10
+ln,(-1L)%4L,nan
+ln,1+:2,0.805+:1.11
+ln,-1+:2,0.805+:2.03
+ln,1+:-2,0.805+:-1.11
+ln,-1.20+:4.30,1.50+:1.84
+ln,1.20+:-4.30,1.50+:-1.30
+ln,1L%2L+:1,0.112+:1.11
+ln,1L%2L+:3L%4L,-0.104+:0.983
+ln,3<:1,1.49<:0.738
+ln,3<:-2.14,2.41<:-1.10
+ln,3.00<:-3,3.19<:-1.22
+ln,3.10<:2.50,2.74<:1.15
+ln,2L%3L<:2,2.04<:1.77
+ln,1L%2L<:3L%4L,1.02<:2.32
+ln,-inf,nan
+ln,nan,nan
+ln,x,__failed__
+log,1,0.00
+log,-1,nan
+log,0,-inf
+log,0.00,-inf
+log,1.20,0.0792
+log,-1.20,nan
+log,1L%3L,-0.477
+log,(-1L)%4L,nan
+log,1+:2,0.349+:0.481
+log,-1+:2,0.349+:0.884
+log,1+:-2,0.349+:-0.481
+log,-1.20+:4.30,0.650+:0.800
+log,1.20+:-4.30,0.650+:-0.564
+log,1L%2L+:1,0.0485+:0.481
+log,1L%2L+:3L%4L,-0.0451+:0.427
+log,3<:1,0.645<:0.738
+log,3<:-2.14,1.05<:-1.10
+log,3.00<:-3,1.39<:-1.22
+log,3.10<:2.50,1.19<:1.15
+log,2L%3L<:2,0.886<:1.77
+log,1L%2L<:3L%4L,0.444<:2.32
+log,-inf,nan
+log,nan,nan
+log,x,__failed__
+exp,1,2.72
+exp,-1,0.368
+exp,0,1.00
+exp,0.00,1.00
+exp,1.20,3.32
+exp,-1.20,0.301
+exp,1L%3L,1.40
+exp,(-1L)%4L,0.779
+exp,1+:2,-1.13+:2.47
+exp,-1+:2,-0.153+:0.335
+exp,1+:-2,-1.13+:-2.47
+exp,-1.20+:4.30,-0.121+:-0.276
+exp,1.20+:-4.30,-1.33+:3.04
+exp,1L%2L+:1,0.891+:1.39
+exp,1L%2L+:3L%4L,1.21+:1.12
+exp,3<:1,5.06<:2.52
+exp,3<:-2.14,0.198<:-2.52
+exp,3.00<:-3,0.0513<:-0.423
+exp,3.10<:2.50,0.0834<:1.86
+exp,2L%3L<:2,0.758<:0.606
+exp,1L%2L<:3L%4L,1.44<:0.341
+exp,-inf,0.00
+exp,nan,nan
+exp,x,__failed__
 sin,1,0.841
 sin,-1,-0.841
 sin,0,0.00
@@ -356,102 +428,6 @@
 tan,-inf,nan
 tan,nan,nan
 tan,x,__failed__
-ln,1,0.00
-ln,-1,nan
-ln,0,-inf
-ln,0.00,-inf
-ln,1.20,0.182
-ln,-1.20,nan
-ln,1L%3L,-1.10
-ln,(-1L)%4L,nan
-ln,1+:2,0.805+:1.11
-ln,-1+:2,0.805+:2.03
-ln,1+:-2,0.805+:-1.11
-ln,-1.20+:4.30,1.50+:1.84
-ln,1.20+:-4.30,1.50+:-1.30
-ln,1L%2L+:1,0.112+:1.11
-ln,1L%2L+:3L%4L,-0.104+:0.983
-ln,3<:1,1.49<:0.738
-ln,3<:-2.14,2.41<:-1.10
-ln,3.00<:-3,3.19<:-1.22
-ln,3.10<:2.50,2.74<:1.15
-ln,2L%3L<:2,2.04<:1.77
-ln,1L%2L<:3L%4L,1.02<:2.32
-ln,-inf,nan
-ln,nan,nan
-ln,x,__failed__
-log,1,0.00
-log,-1,nan
-log,0,-inf
-log,0.00,-inf
-log,1.20,0.0792
-log,-1.20,nan
-log,1L%3L,-0.477
-log,(-1L)%4L,nan
-log,1+:2,0.349+:0.481
-log,-1+:2,0.349+:0.884
-log,1+:-2,0.349+:-0.481
-log,-1.20+:4.30,0.650+:0.800
-log,1.20+:-4.30,0.650+:-0.564
-log,1L%2L+:1,0.0485+:0.481
-log,1L%2L+:3L%4L,-0.0451+:0.427
-log,3<:1,0.645<:0.738
-log,3<:-2.14,1.05<:-1.10
-log,3.00<:-3,1.39<:-1.22
-log,3.10<:2.50,1.19<:1.15
-log,2L%3L<:2,0.886<:1.77
-log,1L%2L<:3L%4L,0.444<:2.32
-log,-inf,nan
-log,nan,nan
-log,x,__failed__
-exp,1,2.72
-exp,-1,0.368
-exp,0,1.00
-exp,0.00,1.00
-exp,1.20,3.32
-exp,-1.20,0.301
-exp,1L%3L,1.40
-exp,(-1L)%4L,0.779
-exp,1+:2,-1.13+:2.47
-exp,-1+:2,-0.153+:0.335
-exp,1+:-2,-1.13+:-2.47
-exp,-1.20+:4.30,-0.121+:-0.276
-exp,1.20+:-4.30,-1.33+:3.04
-exp,1L%2L+:1,0.891+:1.39
-exp,1L%2L+:3L%4L,1.21+:1.12
-exp,3<:1,5.06<:2.52
-exp,3<:-2.14,0.198<:-2.52
-exp,3.00<:-3,0.0513<:-0.423
-exp,3.10<:2.50,0.0834<:1.86
-exp,2L%3L<:2,0.758<:0.606
-exp,1L%2L<:3L%4L,1.44<:0.341
-exp,-inf,0.00
-exp,nan,nan
-exp,x,__failed__
-atan,1,0.785
-atan,-1,-0.785
-atan,0,0.00
-atan,0.00,0.00
-atan,1.20,0.876
-atan,-1.20,-0.876
-atan,1L%3L,0.322
-atan,(-1L)%4L,-0.245
-atan,1+:2,1.34+:0.402
-atan,-1+:2,-1.34+:0.402
-atan,1+:-2,1.34+:-0.402
-atan,-1.20+:4.30,-1.51+:0.218
-atan,1.20+:-4.30,1.51+:-0.218
-atan,1L%2L+:1,0.908+:0.708
-atan,1L%2L+:3L%4L,0.693+:0.590
-atan,3<:1,1.38+:0.278
-atan,3<:-2.14,-1.38+:-0.278
-atan,3.00<:-3,-1.25+:-0.0424
-atan,3.10<:2.50,-1.31+:0.183
-atan,2L%3L<:2,-0.392+:0.609
-atan,1L%2L<:3L%4L,0.387+:0.306
-atan,-inf,-1.57
-atan,nan,nan
-atan,x,__failed__
 asin,1,1.57
 asin,-1,-1.57
 asin,0,0.00
@@ -500,6 +476,30 @@
 acos,-inf,nan
 acos,nan,nan
 acos,x,__failed__
+atan,1,0.785
+atan,-1,-0.785
+atan,0,0.00
+atan,0.00,0.00
+atan,1.20,0.876
+atan,-1.20,-0.876
+atan,1L%3L,0.322
+atan,(-1L)%4L,-0.245
+atan,1+:2,1.34+:0.402
+atan,-1+:2,-1.34+:0.402
+atan,1+:-2,1.34+:-0.402
+atan,-1.20+:4.30,-1.51+:0.218
+atan,1.20+:-4.30,1.51+:-0.218
+atan,1L%2L+:1,0.908+:0.708
+atan,1L%2L+:3L%4L,0.693+:0.590
+atan,3<:1,1.38+:0.278
+atan,3<:-2.14,-1.38+:-0.278
+atan,3.00<:-3,-1.25+:-0.0424
+atan,3.10<:2.50,-1.31+:0.183
+atan,2L%3L<:2,-0.392+:0.609
+atan,1L%2L<:3L%4L,0.387+:0.306
+atan,-inf,-1.57
+atan,nan,nan
+atan,x,__failed__
 sinh,1,1.18
 sinh,-1,-1.18
 sinh,0,0.00

Modified: pure/trunk/test/test020.pure
===================================================================
--- pure/trunk/test/test020.pure	2008-08-23 23:21:06 UTC (rev 593)
+++ pure/trunk/test/test020.pure	2008-08-23 23:42:23 UTC (rev 594)
@@ -4,7 +4,7 @@
 
 // unary operations
 
-let f = [sqrt, sin, cos, tan, ln, log, exp, atan, asin, acos, sinh, cosh, tanh,
+let f = [sqrt, ln, log, exp, sin, cos, tan, asin, acos, atan, sinh, cosh, tanh,
 	 asinh, acosh, atanh, abs, re, im, arg, conj, rect, polar, cis, ceil, 
 	 floor, round, frac, complexp, realp, rationalp, numberp, exactp, 
 	 inexactp, infp, nanp];


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[pure-lang-svn] SF.net SVN: pure-lang:[593] pure/trunk/NEWS

From: <ag...@us...> - 2008-08-23 23:20:56

Revision: 593
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=593&view=rev
Author:   agraef
Date:     2008-08-23 23:21:06 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Final touches (0.5 release).

Modified Paths:
--------------
    pure/trunk/NEWS

Modified: pure/trunk/NEWS
===================================================================
--- pure/trunk/NEWS	2008-08-23 23:20:21 UTC (rev 592)
+++ pure/trunk/NEWS	2008-08-23 23:21:06 UTC (rev 593)
@@ -1,5 +1,5 @@
 
-** Pure 0.5 2008-08-22
+** Pure 0.5 2008-08-24
 
 This release sports LLVM 2.3 support and a bunch of bug fixes and improvements
 in the language, the standard library and the code generator. As usual, please


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[pure-lang-svn] SF.net SVN: pure-lang:[592] pure/trunk/ChangeLog

From: <ag...@us...> - 2008-08-23 23:20:11

Revision: 592
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=592&view=rev
Author:   agraef
Date:     2008-08-23 23:20:21 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Updated ChangeLog.

Modified Paths:
--------------
    pure/trunk/ChangeLog

Modified: pure/trunk/ChangeLog
===================================================================
--- pure/trunk/ChangeLog	2008-08-23 22:39:15 UTC (rev 591)
+++ pure/trunk/ChangeLog	2008-08-23 23:20:21 UTC (rev 592)
@@ -1,7 +1,37 @@
-2008-08-22  Albert Graef  <Dr....@t-...>
+2008-08-24  Albert Graef  <Dr....@t-...>
 
 	* 0.5 release.
 
+	* test/test020.pure, test/test021.pure: Cosmetic changes, added
+	math.pure tests for checking exact/inexact/symbolic results.
+
+	NOTE: test020.log is fairly big and thus still needs to be
+	reviewed more thoroughly. If you can provide a helping hand there
+	by checking at least some of the tested operations and post
+	suspicious results to the mailing list, it will be much
+	appreciated. :-)
+
+	* lib/math.pure: Fixed the broken definition of the complex sqrt,
+	and did some cosmetic surgery on some operations, to make them
+	more compatible with established standards (IEEE 754, POSIX). This
+	probably isn't perfect yet, so please report any suspicious
+	results or glitches in branch cuts and the like.
+
+	I also checked some of the complex trig and hyperbolic operations
+	manually against my HP-50G calculator (whose numeric algorithms
+	are based on earlier HP calculator software designed by William
+	Kahan, the architect of IEEE 754), and they seem to provide the
+	proper branch cuts now, so that results are identical with the
+	calculator up to rounding discrepancies.
+
+	Note that operations will now return complex results only if
+	invoked with complex (or mixed complex/real) arguments, as
+	suggested by Eddie Rucker. I also added the necessary type guards
+	to ensure that operations are irreducible when invoked with
+	non-numeric arguments.
+
+2008-08-22  Albert Graef  <Dr....@t-...>
+
 	* test/test020.pure: Added math.pure tests by Eddie Rucker.
 
 	* runtime.cc (same): Bugfix in comparison of global functions.


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[pure-lang-svn] SF.net SVN: pure-lang:[591] pure/trunk/test

From: <ag...@us...> - 2008-08-23 22:39:05

Revision: 591
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=591&view=rev
Author:   agraef
Date:     2008-08-23 22:39:15 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Improved __failed__ test.

Modified Paths:
--------------
    pure/trunk/test/test020.log
    pure/trunk/test/test020.pure
    pure/trunk/test/test021.log
    pure/trunk/test/test021.pure

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 22:36:04 UTC (rev 590)
+++ pure/trunk/test/test020.log	2008-08-23 22:39:15 UTC (rev 591)
@@ -40,8 +40,8 @@
 test (f/*0:101*/,x/*0:1101*/,y/*0:111*/) = puts$format (f/*0:101*/,x/*0:1101*/,y/*0:111*/,check (f/*0:101*/,x/*0:1101*/,y/*0:111*/) (catch __error__ (f/*1:101*/ x/*1:1101*/ y/*1:111*/)));
 test (f/*0:101*/,x/*0:11*/) = puts$format (f/*0:101*/,x/*0:11*/,check (f/*0:101*/,x/*0:11*/) (catch __error__ (f/*1:101*/ x/*1:11*/)));
 check _/*0:01*/ z/*0:1*/ = z/*0:1*/ if numberp z/*0:1*/;
-check (f/*0:0101*/,_/*0:011*/) (g@_/*0:100*/ _/*0:101*/ _/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:100*/;
-check (f/*0:0101*/,_/*0:011*/) (g@_/*0:10*/ _/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:10*/;
+check (f/*0:0101*/,x/*0:01101*/,y/*0:0111*/) (g@_/*0:100*/ u/*0:101*/ v/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:100*/&&x/*0:01101*/===u/*0:101*/&&y/*0:0111*/===v/*0:11*/;
+check (f/*0:0101*/,x/*0:011*/) (g@_/*0:10*/ u/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:10*/&&x/*0:011*/===u/*0:11*/;
 check _/*0:01*/ z/*0:1*/ = z/*0:1*/;
 format (f/*0:101*/,x/*0:1101*/,y/*0:11101*/,z/*0:1111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show y/*0:11101*/+","+show z/*0:1111*/;
 format (f/*0:101*/,x/*0:1101*/,z/*0:111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show z/*0:111*/;
@@ -51,8 +51,8 @@
 show x/*0:1*/ = str x/*0:1*/;
 {
   rule #0: check _ z = z if numberp z
-  rule #1: check (f,_) (g@_ _ _) = __failed__ if f===g
-  rule #2: check (f,_) (g@_ _) = __failed__ if f===g
+  rule #1: check (f,x,y) (g@_ u v) = __failed__ if f===g&&x===u&&y===v
+  rule #2: check (f,x) (g@_ u) = __failed__ if f===g&&x===u
   rule #3: check _ z = z
   state 0: #0 #1 #2 #3
 	<var> state 1
@@ -82,23 +82,67 @@
 	<var> state 13
   state 13: #0 #1 #2 #3
 	<var> state 14
-  state 14: #0 #1 #2 #3
+	<app> state 19
+  state 14: #0 #2 #3
 	<var> state 15
 	<app> state 16
   state 15: #0 #3
-  state 16: #0 #1 #2 #3
+  state 16: #0 #2 #3
 	<var> state 17
-	<app> state 19
   state 17: #0 #2 #3
 	<var> state 18
   state 18: #0 #2 #3
   state 19: #0 #1 #2 #3
 	<var> state 20
-  state 20: #0 #1 #2 #3
+	<app> state 26
+  state 20: #0 #2 #3
 	<var> state 21
-  state 21: #0 #1 #2 #3
+  state 21: #0 #2 #3
 	<var> state 22
-  state 22: #0 #1 #2 #3
+	<app> state 23
+  state 22: #0 #3
+  state 23: #0 #2 #3
+	<var> state 24
+  state 24: #0 #2 #3
+	<var> state 25
+  state 25: #0 #2 #3
+  state 26: #0 #1 #2 #3
+	<var> state 27
+	, state 34
+  state 27: #0 #2 #3
+	<var> state 28
+  state 28: #0 #2 #3
+	<var> state 29
+  state 29: #0 #2 #3
+	<var> state 30
+	<app> state 31
+  state 30: #0 #3
+  state 31: #0 #2 #3
+	<var> state 32
+  state 32: #0 #2 #3
+	<var> state 33
+  state 33: #0 #2 #3
+  state 34: #0 #1 #2 #3
+	<var> state 35
+  state 35: #0 #1 #2 #3
+	<var> state 36
+  state 36: #0 #1 #2 #3
+	<var> state 37
+	<app> state 38
+  state 37: #0 #3
+  state 38: #0 #1 #2 #3
+	<var> state 39
+	<app> state 41
+  state 39: #0 #2 #3
+	<var> state 40
+  state 40: #0 #2 #3
+  state 41: #0 #1 #2 #3
+	<var> state 42
+  state 42: #0 #1 #2 #3
+	<var> state 43
+  state 43: #0 #1 #2 #3
+	<var> state 44
+  state 44: #0 #1 #2 #3
 }
 {
   rule #0: format (f,x,y,z) = str f+","+show x+","+show y+","+show z

Modified: pure/trunk/test/test020.pure
===================================================================
--- pure/trunk/test/test020.pure	2008-08-23 22:36:04 UTC (rev 590)
+++ pure/trunk/test/test020.pure	2008-08-23 22:39:15 UTC (rev 591)
@@ -35,8 +35,8 @@
 test (f,x) = puts $ format (f,x,check (f,x) (catch __error__ (f x)));
 
 check _ z = z if numberp z;
-check (f,_) (g@_ _ _) |
-check (f,_) (g@_ _) = __failed__ if f===g;
+check (f,x,y) (g@_ u v) = __failed__ if f===g && x===u && y===v;
+check (f,x) (g@_ u) = __failed__ if f===g && x===u;
 check _ z = z otherwise;
 
 format (f,x,y,z) = str f+","+show x+","+show y+","+show z;

Modified: pure/trunk/test/test021.log
===================================================================
--- pure/trunk/test/test021.log	2008-08-23 22:36:04 UTC (rev 590)
+++ pure/trunk/test/test021.log	2008-08-23 22:39:15 UTC (rev 591)
@@ -2,8 +2,8 @@
 test (f/*0:101*/,x/*0:1101*/,y/*0:111*/) = puts$format (f/*0:101*/,x/*0:1101*/,y/*0:111*/,check (f/*0:101*/,x/*0:1101*/,y/*0:111*/) (catch __error__ (f/*1:101*/ x/*1:1101*/ y/*1:111*/)));
 test (f/*0:101*/,x/*0:11*/) = puts$format (f/*0:101*/,x/*0:11*/,check (f/*0:101*/,x/*0:11*/) (catch __error__ (f/*1:101*/ x/*1:11*/)));
 check _/*0:01*/ z/*0:1*/ = z/*0:1*/ if numberp z/*0:1*/;
-check (f/*0:0101*/,_/*0:011*/) (g@_/*0:100*/ _/*0:101*/ _/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:100*/;
-check (f/*0:0101*/,_/*0:011*/) (g@_/*0:10*/ _/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:10*/;
+check (f/*0:0101*/,x/*0:01101*/,y/*0:0111*/) (g@_/*0:100*/ u/*0:101*/ v/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:100*/&&x/*0:01101*/===u/*0:101*/&&y/*0:0111*/===v/*0:11*/;
+check (f/*0:0101*/,x/*0:011*/) (g@_/*0:10*/ u/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:10*/&&x/*0:011*/===u/*0:11*/;
 check _/*0:01*/ z/*0:1*/ = z/*0:1*/;
 format (f/*0:101*/,x/*0:1101*/,y/*0:11101*/,z/*0:1111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show y/*0:11101*/+","+show z/*0:1111*/;
 format (f/*0:101*/,x/*0:1101*/,z/*0:111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show z/*0:111*/;
@@ -13,8 +13,8 @@
 show x/*0:1*/ = str x/*0:1*/;
 {
   rule #0: check _ z = z if numberp z
-  rule #1: check (f,_) (g@_ _ _) = __failed__ if f===g
-  rule #2: check (f,_) (g@_ _) = __failed__ if f===g
+  rule #1: check (f,x,y) (g@_ u v) = __failed__ if f===g&&x===u&&y===v
+  rule #2: check (f,x) (g@_ u) = __failed__ if f===g&&x===u
   rule #3: check _ z = z
   state 0: #0 #1 #2 #3
 	<var> state 1
@@ -44,23 +44,67 @@
 	<var> state 13
   state 13: #0 #1 #2 #3
 	<var> state 14
-  state 14: #0 #1 #2 #3
+	<app> state 19
+  state 14: #0 #2 #3
 	<var> state 15
 	<app> state 16
   state 15: #0 #3
-  state 16: #0 #1 #2 #3
+  state 16: #0 #2 #3
 	<var> state 17
-	<app> state 19
   state 17: #0 #2 #3
 	<var> state 18
   state 18: #0 #2 #3
   state 19: #0 #1 #2 #3
 	<var> state 20
-  state 20: #0 #1 #2 #3
+	<app> state 26
+  state 20: #0 #2 #3
 	<var> state 21
-  state 21: #0 #1 #2 #3
+  state 21: #0 #2 #3
 	<var> state 22
-  state 22: #0 #1 #2 #3
+	<app> state 23
+  state 22: #0 #3
+  state 23: #0 #2 #3
+	<var> state 24
+  state 24: #0 #2 #3
+	<var> state 25
+  state 25: #0 #2 #3
+  state 26: #0 #1 #2 #3
+	<var> state 27
+	, state 34
+  state 27: #0 #2 #3
+	<var> state 28
+  state 28: #0 #2 #3
+	<var> state 29
+  state 29: #0 #2 #3
+	<var> state 30
+	<app> state 31
+  state 30: #0 #3
+  state 31: #0 #2 #3
+	<var> state 32
+  state 32: #0 #2 #3
+	<var> state 33
+  state 33: #0 #2 #3
+  state 34: #0 #1 #2 #3
+	<var> state 35
+  state 35: #0 #1 #2 #3
+	<var> state 36
+  state 36: #0 #1 #2 #3
+	<var> state 37
+	<app> state 38
+  state 37: #0 #3
+  state 38: #0 #1 #2 #3
+	<var> state 39
+	<app> state 41
+  state 39: #0 #2 #3
+	<var> state 40
+  state 40: #0 #2 #3
+  state 41: #0 #1 #2 #3
+	<var> state 42
+  state 42: #0 #1 #2 #3
+	<var> state 43
+  state 43: #0 #1 #2 #3
+	<var> state 44
+  state 44: #0 #1 #2 #3
 }
 {
   rule #0: format (f,x,y,z) = str f+","+show x+","+show y+","+show z

Modified: pure/trunk/test/test021.pure
===================================================================
--- pure/trunk/test/test021.pure	2008-08-23 22:36:04 UTC (rev 590)
+++ pure/trunk/test/test021.pure	2008-08-23 22:39:15 UTC (rev 591)
@@ -14,8 +14,8 @@
 test (f,x) = puts $ format (f,x,check (f,x) (catch __error__ (f x)));
 
 check _ z = z if numberp z;
-check (f,_) (g@_ _ _) |
-check (f,_) (g@_ _) = __failed__ if f===g;
+check (f,x,y) (g@_ u v) = __failed__ if f===g && x===u && y===v;
+check (f,x) (g@_ u) = __failed__ if f===g && x===u;
 check _ z = z otherwise;
 
 format (f,x,y,z) = str f+","+show x+","+show y+","+show z;


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[pure-lang-svn] SF.net SVN: pure-lang:[590] pure/trunk/lib/math.pure

From: <ag...@us...> - 2008-08-23 22:35:56

Revision: 590
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=590&view=rev
Author:   agraef
Date:     2008-08-23 22:36:04 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Add missing type guard to atan2 function.

Modified Paths:
--------------
    pure/trunk/lib/math.pure

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-23 22:24:50 UTC (rev 589)
+++ pure/trunk/lib/math.pure	2008-08-23 22:36:04 UTC (rev 590)
@@ -472,8 +472,8 @@
 acos (x%y)	= acos (x/y);
 atan (x%y)	= atan (x/y);
 
-atan2 (x%y) z	= atan2 (x/y) z;
-atan2 x (y%z)	= atan2 x (y/z);
+atan2 (x%y) z	= atan2 (x/y) z if realp z;
+atan2 x (y%z)	= atan2 x (y/z) if realp x;
 
 sinh (x%y)	= sinh (x/y);
 cosh (x%y)	= cosh (x/y);


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[pure-lang-svn] SF.net SVN: pure-lang:[589] pure/trunk/test/test020.pure

From: <ag...@us...> - 2008-08-23 22:24:41

Revision: 589
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=589&view=rev
Author:   agraef
Date:     2008-08-23 22:24:50 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Comment changes.

Modified Paths:
--------------
    pure/trunk/test/test020.pure

Modified: pure/trunk/test/test020.pure
===================================================================
--- pure/trunk/test/test020.pure	2008-08-23 22:16:55 UTC (rev 588)
+++ pure/trunk/test/test020.pure	2008-08-23 22:24:50 UTC (rev 589)
@@ -8,6 +8,8 @@
 	 asinh, acosh, atanh, abs, re, im, arg, conj, rect, polar, cis, ceil, 
 	 floor, round, frac, complexp, realp, rationalp, numberp, exactp, 
 	 inexactp, infp, nanp];
+// Note: the symbolic constant 'x' at the end of the list is for testing
+// operations with symbolic arguments (these should all yield '__failed__').
 let x = [1, -1, 0, 0.0, 1.2, -1.2, 1%3, -1%4, 1+:2, -1+:2, 1+:-2, -1.2+:4.3,
 	 1.2+:-4.3, 1%2+:1, 1%2+:3%4, 3<:1, -3<:1, 3.0<:-3, 3.1<:2.5, (2%3)<:2,
 	 (1%2)<:(3%4), -inf, nan, x];


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[pure-lang-svn] SF.net SVN: pure-lang:[588] pure/trunk/test

From: <ag...@us...> - 2008-08-23 22:16:47

Revision: 588
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=588&view=rev
Author:   agraef
Date:     2008-08-23 22:16:55 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Add test for symbolic values.

Modified Paths:
--------------
    pure/trunk/test/test020.log
    pure/trunk/test/test020.pure

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 22:10:16 UTC (rev 587)
+++ pure/trunk/test/test020.log	2008-08-23 22:16:55 UTC (rev 588)
@@ -6,12 +6,12 @@
 }
 let f = [sqrt,sin,cos,tan,ln,log,exp,atan,asin,acos,sinh,cosh,tanh,asinh,acosh,atanh,abs,re,im,arg,conj,rect,polar,cis,ceil,floor,round,frac,complexp,realp,rationalp,numberp,exactp,inexactp,infp,nanp];
 {
-  rule #0: x = [1,-1,0,0.0,1.2,-1.2,1%3,-1%4,1+:2,-1+:2,1+:-2,-1.2+:4.3,1.2+:-4.3,1%2+:1,1%2+:3%4,3<:1,-3<:1,3.0<:-3,3.1<:2.5,2%3<:2,1%2<:3%4,-1e+307*1e+307,1e+307*1e+307-1e+307*1e+307]
+  rule #0: x = [1,-1,0,0.0,1.2,-1.2,1%3,-1%4,1+:2,-1+:2,1+:-2,-1.2+:4.3,1.2+:-4.3,1%2+:1,1%2+:3%4,3<:1,-3<:1,3.0<:-3,3.1<:2.5,2%3<:2,1%2<:3%4,-1e+307*1e+307,1e+307*1e+307-1e+307*1e+307,x]
   state 0: #0
 	<var> state 1
   state 1: #0
 }
-let x = [1,-1,0,0.0,1.2,-1.2,1%3,-1%4,1+:2,-1+:2,1+:-2,-1.2+:4.3,1.2+:-4.3,1%2+:1,1%2+:3%4,3<:1,-3<:1,3.0<:-3,3.1<:2.5,2%3<:2,1%2<:3%4,-1e+307*1e+307,1e+307*1e+307-1e+307*1e+307];
+let x = [1,-1,0,0.0,1.2,-1.2,1%3,-1%4,1+:2,-1+:2,1+:-2,-1.2+:4.3,1.2+:-4.3,1%2+:1,1%2+:3%4,3<:1,-3<:1,3.0<:-3,3.1<:2.5,2%3<:2,1%2<:3%4,-1e+307*1e+307,1e+307*1e+307-1e+307*1e+307,x];
 {
   rule #0: f2 = [(+),(-),(*),(/),(^),atan2,pow]
   state 0: #0
@@ -239,6 +239,7 @@
 sqrt,1L%2L<:3L%4L,0.707<:0.375
 sqrt,-inf,nan
 sqrt,nan,nan
+sqrt,x,__failed__
 sin,1,0.841
 sin,-1,-0.841
 sin,0,0.00
@@ -262,6 +263,7 @@
 sin,1L%2L<:3L%4L,0.499<:0.708
 sin,-inf,nan
 sin,nan,nan
+sin,x,__failed__
 cos,1,0.540
 cos,-1,0.540
 cos,0,1.00
@@ -285,6 +287,7 @@
 cos,1L%2L<:3L%4L,0.996<:-0.125
 cos,-inf,nan
 cos,nan,nan
+cos,x,__failed__
 tan,1,1.56
 tan,-1,-1.56
 tan,0,0.00
@@ -308,6 +311,7 @@
 tan,1L%2L<:3L%4L,0.501<:0.833
 tan,-inf,nan
 tan,nan,nan
+tan,x,__failed__
 ln,1,0.00
 ln,-1,nan
 ln,0,-inf
@@ -331,6 +335,7 @@
 ln,1L%2L<:3L%4L,1.02<:2.32
 ln,-inf,nan
 ln,nan,nan
+ln,x,__failed__
 log,1,0.00
 log,-1,nan
 log,0,-inf
@@ -354,6 +359,7 @@
 log,1L%2L<:3L%4L,0.444<:2.32
 log,-inf,nan
 log,nan,nan
+log,x,__failed__
 exp,1,2.72
 exp,-1,0.368
 exp,0,1.00
@@ -377,6 +383,7 @@
 exp,1L%2L<:3L%4L,1.44<:0.341
 exp,-inf,0.00
 exp,nan,nan
+exp,x,__failed__
 atan,1,0.785
 atan,-1,-0.785
 atan,0,0.00
@@ -400,6 +407,7 @@
 atan,1L%2L<:3L%4L,0.387+:0.306
 atan,-inf,-1.57
 atan,nan,nan
+atan,x,__failed__
 asin,1,1.57
 asin,-1,-1.57
 asin,0,0.00
@@ -423,6 +431,7 @@
 asin,1L%2L<:3L%4L,0.351+:0.355
 asin,-inf,nan
 asin,nan,nan
+asin,x,__failed__
 acos,1,0.00
 acos,-1,3.14
 acos,0,1.57
@@ -446,6 +455,7 @@
 acos,1L%2L<:3L%4L,1.22+:-0.355
 acos,-inf,nan
 acos,nan,nan
+acos,x,__failed__
 sinh,1,1.18
 sinh,-1,-1.18
 sinh,0,0.00
@@ -469,6 +479,7 @@
 sinh,1L%2L<:3L%4L,0.502<:0.792
 sinh,-inf,-inf
 sinh,nan,nan
+sinh,x,__failed__
 cosh,1,1.54
 cosh,-1,1.54
 cosh,0,1.00
@@ -492,6 +503,7 @@
 cosh,1L%2L<:3L%4L,1.01<:0.124
 cosh,-inf,inf
 cosh,nan,nan
+cosh,x,__failed__
 tanh,1,0.762
 tanh,-1,-0.762
 tanh,0,0.00
@@ -515,6 +527,7 @@
 tanh,1L%2L<:3L%4L,0.495<:0.668
 tanh,-inf,-1.00
 tanh,nan,nan
+tanh,x,__failed__
 asinh,1,0.881
 asinh,-1,-0.881
 asinh,0,0.00
@@ -538,6 +551,7 @@
 asinh,1L%2L<:3L%4L,0.377+:0.324
 asinh,-inf,-inf
 asinh,nan,nan
+asinh,x,__failed__
 acosh,1,0.00
 acosh,-1,nan
 acosh,0,nan
@@ -561,6 +575,7 @@
 acosh,1L%2L<:3L%4L,0.355+:1.22
 acosh,-inf,nan
 acosh,nan,nan
+acosh,x,__failed__
 atanh,1,inf
 atanh,-1,-inf
 atanh,0,0.00
@@ -584,6 +599,7 @@
 atanh,1L%2L<:3L%4L,0.335+:0.369
 atanh,-inf,nan
 atanh,nan,nan
+atanh,x,__failed__
 abs,1,1
 abs,-1,1
 abs,0,0
@@ -607,6 +623,7 @@
 abs,1L%2L<:3L%4L,1L%2L
 abs,-inf,inf
 abs,nan,nan
+abs,x,__failed__
 re,1,1
 re,-1,-1
 re,0,0
@@ -630,6 +647,7 @@
 re,1L%2L<:3L%4L,0.341
 re,-inf,-inf
 re,nan,nan
+re,x,__failed__
 im,1,0
 im,-1,0
 im,0,0
@@ -653,6 +671,7 @@
 im,1L%2L<:3L%4L,0.366
 im,-inf,0.00
 im,nan,0.00
+im,x,__failed__
 arg,1,0.00
 arg,-1,3.14
 arg,0,0.00
@@ -676,6 +695,7 @@
 arg,1L%2L<:3L%4L,3L%4L
 arg,-inf,3.14
 arg,nan,nan
+arg,x,__failed__
 conj,1,1
 conj,-1,-1
 conj,0,0
@@ -699,6 +719,7 @@
 conj,1L%2L<:3L%4L,1L%2L<:(-3L)%4L
 conj,-inf,-inf
 conj,nan,nan
+conj,x,__failed__
 rect,1,1+:0
 rect,-1,-1+:0
 rect,0,0+:0
@@ -722,6 +743,7 @@
 rect,1L%2L<:3L%4L,0.366+:0.341
 rect,-inf,-inf+:0.00
 rect,nan,nan+:0.00
+rect,x,__failed__
 polar,1,1<:0
 polar,-1,1<:3.14
 polar,0,0<:0
@@ -745,6 +767,7 @@
 polar,1L%2L<:3L%4L,1L%2L<:3L%4L
 polar,-inf,inf<:3.14
 polar,nan,nan<:0.00
+polar,x,__failed__
 cis,1,0.540+:0.841
 cis,-1,0.540+:-0.841
 cis,0,1.00+:0.00
@@ -768,6 +791,7 @@
 cis,1L%2L<:3L%4L,__failed__
 cis,-inf,nan+:nan
 cis,nan,nan+:nan
+cis,x,__failed__
 ceil,1,1
 ceil,-1,-1
 ceil,0,0
@@ -791,6 +815,7 @@
 ceil,1L%2L<:3L%4L,__failed__
 ceil,-inf,-inf
 ceil,nan,nan
+ceil,x,__failed__
 floor,1,1
 floor,-1,-1
 floor,0,0
@@ -814,6 +839,7 @@
 floor,1L%2L<:3L%4L,__failed__
 floor,-inf,-inf
 floor,nan,nan
+floor,x,__failed__
 round,1,1
 round,-1,-1
 round,0,0
@@ -837,6 +863,7 @@
 round,1L%2L<:3L%4L,__failed__
 round,-inf,-inf
 round,nan,nan
+round,x,__failed__
 frac,1,0
 frac,-1,0
 frac,0,0
@@ -860,6 +887,7 @@
 frac,1L%2L<:3L%4L,__failed__
 frac,-inf,nan
 frac,nan,nan
+frac,x,__failed__
 complexp,1,0
 complexp,-1,0
 complexp,0,0
@@ -883,6 +911,7 @@
 complexp,1L%2L<:3L%4L,1
 complexp,-inf,0
 complexp,nan,0
+complexp,x,0
 realp,1,1
 realp,-1,1
 realp,0,1
@@ -906,6 +935,7 @@
 realp,1L%2L<:3L%4L,0
 realp,-inf,1
 realp,nan,1
+realp,x,0
 rationalp,1,0
 rationalp,-1,0
 rationalp,0,0
@@ -929,6 +959,7 @@
 rationalp,1L%2L<:3L%4L,0
 rationalp,-inf,0
 rationalp,nan,0
+rationalp,x,0
 numberp,1,1
 numberp,-1,1
 numberp,0,1
@@ -952,6 +983,7 @@
 numberp,1L%2L<:3L%4L,1
 numberp,-inf,1
 numberp,nan,1
+numberp,x,0
 exactp,1,1
 exactp,-1,1
 exactp,0,1
@@ -975,6 +1007,7 @@
 exactp,1L%2L<:3L%4L,0
 exactp,-inf,0
 exactp,nan,0
+exactp,x,0
 inexactp,1,0
 inexactp,-1,0
 inexactp,0,0
@@ -998,6 +1031,7 @@
 inexactp,1L%2L<:3L%4L,1
 inexactp,-inf,1
 inexactp,nan,1
+inexactp,x,0
 infp,1,0
 infp,-1,0
 infp,0,0
@@ -1021,6 +1055,7 @@
 infp,1L%2L<:3L%4L,0
 infp,-inf,1
 infp,nan,0
+infp,x,0
 nanp,1,0
 nanp,-1,0
 nanp,0,0
@@ -1044,6 +1079,7 @@
 nanp,1L%2L<:3L%4L,0
 nanp,-inf,0
 nanp,nan,1
+nanp,x,0
 *** BINARY ***
 (+),1,1,2
 (+),1,-1,0
@@ -1068,6 +1104,7 @@
 (+),1,1L%2L<:3L%4L,1.37+:0.341
 (+),1,-inf,-inf
 (+),1,nan,nan
+(+),1,x,__failed__
 (+),-1,1,0
 (+),-1,-1,-2
 (+),-1,0,-1
@@ -1091,6 +1128,7 @@
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 (+),-1,-inf,-inf
 (+),-1,nan,nan
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 (+),0,1,1
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@@ -1114,6 +1152,7 @@
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 (+),0,-inf,-inf
 (+),0,nan,nan
+(+),0,x,__failed__
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 (+),0.00,-1,-1.00
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@@ -1137,6 +1176,7 @@
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 (+),0.00,-inf,-inf
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 (+),1.20,1,2.20
 (+),1.20,-1,0.200
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@@ -1160,6 +1200,7 @@
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@@ -1183,6 +1224,7 @@
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@@ -1206,6 +1248,7 @@
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@@ -1229,6 +1272,7 @@
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@@ -1252,6 +1296,7 @@
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@@ -1275,6 +1320,7 @@
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@@ -1298,6 +1344,7 @@
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@@ -1321,6 +1368,7 @@
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@@ -1344,6 +1392,7 @@
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@@ -1367,6 +1416,7 @@
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@@ -1390,6 +1440,7 @@
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 (+),3<:1,-1,0.621+:2.52
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@@ -1413,6 +1464,7 @@
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 (+),3<:-2.14,0,-1.62+:-2.52
@@ -1436,6 +1488,7 @@
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@@ -1459,6 +1512,7 @@
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@@ -1482,6 +1536,7 @@
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@@ -1505,6 +1560,7 @@
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@@ -1528,6 +1584,7 @@
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@@ -1551,6 +1608,7 @@
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@@ -1574,6 +1632,31 @@
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+(+),x,-inf,__failed__
+(+),x,nan,__failed__
+(+),x,x,__failed__
 (-),1,1,0
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@@ -1597,6 +1680,7 @@
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 (-),1,nan,nan
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@@ -1620,6 +1704,7 @@
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@@ -1643,6 +1728,7 @@
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@@ -1666,6 +1752,7 @@
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@@ -1689,6 +1776,7 @@
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@@ -1781,6 +1872,7 @@
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@@ -1804,6 +1896,7 @@
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@@ -1827,6 +1920,7 @@
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@@ -1850,6 +1944,7 @@
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 (-),1.20+:-4.30,0,1.20+:-4.30
@@ -1873,6 +1968,7 @@
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@@ -1896,6 +1992,7 @@
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@@ -1919,6 +2016,7 @@
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@@ -1942,6 +2040,7 @@
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 (-),3<:-2.14,0,-1.62+:-2.52
@@ -1965,6 +2064,7 @@
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 (-),3.00<:-3,1,-3.97+:-0.423
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@@ -1988,6 +2088,7 @@
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@@ -2011,6 +2112,7 @@
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@@ -2034,6 +2136,7 @@
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@@ -2057,6 +2160,7 @@
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 (-),-inf,0,-inf
@@ -2080,6 +2184,7 @@
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 (-),-inf,-inf,nan
 (-),-inf,nan,nan
+(-),-inf,x,__failed__
 (-),nan,1,nan
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@@ -2103,6 +2208,31 @@
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+(-),x,-inf,__failed__
+(-),x,nan,__failed__
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 (*),1,1,1
 (*),1,-1,-1
 (*),1,0,0
@@ -2126,6 +2256,7 @@
 (*),1,1L%2L<:3L%4L,1L%2L<:3L%4L
 (*),1,-inf,-inf
 (*),1,nan,nan
+(*),1,x,__failed__
 (*),-1,1,-1
 (*),-1,-1,1
 (*),-1,0,0
@@ -2149,6 +2280,7 @@
 (*),-1,1L%2L<:3L%4L,1L%2L<:-2.39
 (*),-1,-inf,inf
 (*),-1,nan,nan
+(*),-1,x,__failed__
 (*),0,1,0
 (*),0,-1,0
 (*),0,0,0
@@ -2172,6 +2304,7 @@
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 (*),0,-inf,nan
 (*),0,nan,nan
+(*),0,x,__failed__
 (*),0.00,1,0.00
 (*),0.00,-1,-0.00
 (*),0.00,0,0.00
@@ -2195,6 +2328,7 @@
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 (*),0.00,nan,nan
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 (*),1.20,1,1.20
 (*),1.20,-1,-1.20
 (*),1.20,0,0.00
@@ -2218,6 +2352,7 @@
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 (*),1.20,-inf,-inf
 (*),1.20,nan,nan
+(*),1.20,x,__failed__
 (*),-1.20,1,-1.20
 (*),-1.20,-1,1.20
 (*),-1.20,0,-0.00
@@ -2241,6 +2376,7 @@
 (*),-1.20,1L%2L<:3L%4L,0.600<:-2.39
 (*),-1.20,-inf,inf
 (*),-1.20,nan,nan
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 (*),1L%3L,1,1L%3L
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 (*),1L%3L,0,0L%1L
@@ -2264,6 +2400,7 @@
 (*),1L%3L,1L%2L<:3L%4L,1L%6L<:3L%4L
 (*),1L%3L,-inf,-inf
 (*),1L%3L,nan,nan
+(*),1L%3L,x,__failed__
 (*),(-1L)%4L,1,(-1L)%4L
 (*),(-1L)%4L,-1,1L%4L
 (*),(-1L)%4L,0,0L%1L
@@ -2287,6 +2424,7 @@
 (*),(-1L)%4L,1L%2L<:3L%4L,1L%8L<:-2.39
 (*),(-1L)%4L,-inf,inf
 (*),(-1L)%4L,nan,nan
+(*),(-1L)%4L,x,__failed__
 (*),1+:2,1,1+:2
 (*),1+:2,-1,-1+:-2
 (*),1+:2,0,0+:0
@@ -2310,6 +2448,7 @@
 (*),1+:2,1L%2L<:3L%4L,-0.316+:1.07
 (*),1+:2,-inf,-inf+:-inf
 (*),1+:2,nan,nan+:nan
+(*),1+:2,x,__failed__
 (*),-1+:2,1,-1+:2
 (*),-1+:2,-1,1+:-2
 (*),-1+:2,0,0+:0
@@ -2333,6 +2472,7 @@
 (*),-1+:2,1L%2L<:3L%4L,-1.05+:0.391
 (*),-1+:2,-inf,inf+:-inf
 (*),-1+:2,nan,nan+:nan
+(*),-1+:2,x,__failed__
 (*),1+:-2,1,1+:-2
 (*),1+:-2,-1,-1+:2
 (*),1+:-2,0,0+:0
@@ -2356,6 +2496,7 @@
 (*),1+:-2,1L%2L<:3L%4L,1.05+:-0.391
 (*),1+:-2,-inf,-inf+:inf
 (*),1+:-2,nan,nan+:nan
+(*),1+:-2,x,__failed__
 (*),-1.20+:4.30,1,-1.20+:4.30
 (*),-1.20+:4.30,-1,1.20+:-4.30
 (*),-1.20+:4.30,0,-0.00+:0.00
@@ -2379,6 +2520,7 @@
 (*),-1.20+:4.30,1L%2L<:3L%4L,-1.90+:1.16
 (*),-1.20+:4.30,-inf,inf+:-inf
 (*),-1.20+:4.30,nan,nan+:nan
+(*),-1.20+:4.30,x,__failed__
 (*),1.20+:-4.30,1,1.20+:-4.30
 (*),1.20+:-4.30,-1,-1.20+:4.30
 (*),1.20+:-4.30,0,0.00+:-0.00
@@ -2402,6 +2544,7 @@
 (*),1.20+:-4.30,1L%2L<:3L%4L,1.90+:-1.16
 (*),1.20+:-4.30,-inf,-inf+:inf
 (*),1.20+:-4.30,nan,nan+:nan
+(*),1.20+:-4.30,x,__failed__
 (*),1L%2L+:1,1,1L%2L+:1
 (*),1L%2L+:1,-1,(-1L)%2L+:-1
 (*),1L%2L+:1,0,0L%1L+:0
@@ -2425,6 +2568,7 @@
 (*),1L%2L+:1,1L%2L<:3L%4L,-0.158+:0.536
 (*),1L%2L+:1,-inf,-inf+:-inf
 (*),1L%2L+:1,nan,nan+:nan
+(*),1L%2L+:1,x,__failed__
 (*),1L%2L+:3L%4L,1,1L%2L+:3L%4L
 (*),1L%2L+:3L%4L,-1,(-1L)%2L+:(-3L)%4L
 (*),1L%2L+:3L%4L,0,0L%1L+:0L%1L
@@ -2448,6 +2592,7 @@
 (*),1L%2L+:3L%4L,1L%2L<:3L%4L,-0.0727+:0.445
 (*),1L%2L+:3L%4L,-inf,-inf+:-inf
 (*),1L%2L+:3L%4L,nan,nan+:nan
+(*),1L%2L+:3L%4L,x,__failed__
 (*),3<:1,1,3<:1
 (*),3<:1,-1,3<:-2.14
 (*),3<:1,0,0<:1
@@ -2471,6 +2616,7 @@
 (*),3<:1,1L%2L<:3L%4L,3L%2L<:7L%4L
 (*),3<:1,-inf,inf<:-2.14
 (*),3<:1,nan,nan<:1
+(*),3<:1,x,__failed__
 (*),3<:-2.14,1,3<:-2.14
 (*),3<:-2.14,-1,3<:1.00
 (*),3<:-2.14,0,0<:-2.14
@@ -2494,6 +2640,7 @@
 (*),3<:-2.14,1L%2L<:3L%4L,3L%2L<:-1.39
 (*),3<:-2.14,-inf,inf<:1.00
 (*),3<:-2.14,nan,nan<:-2.14
+(*),3<:-2.14,x,__failed__
 (*),3.00<:-3,1,3.00<:-3
 (*),3.00<:-3,-1,3.00<:0.142
 (*),3.00<:-3,0,0.00<:-3
@@ -2517,6 +2664,7 @@
 (*),3.00<:-3,1L%2L<:3L%4L,1.50<:(-9L)%4L
 (*),3.00<:-3,-inf,inf<:0.142
 (*),3.00<:-3,nan,nan<:-3
+(*),3.00<:-3,x,__failed__
 (*),3.10<:2.50,1,3.10<:2.50
 (*),3.10<:2.50,-1,3.10<:-0.642
 (*),3.10<:2.50,0,0.00<:2.50
@@ -2540,6 +2688,7 @@
 (*),3.10<:2.50,1L%2L<:3L%4L,1.55<:-3.03
 (*),3.10<:2.50,-inf,inf<:-0.642
 (*),3.10<:2.50,nan,nan<:2.50
+(*),3.10<:2.50,x,__failed__
 (*),2L%3L<:2,1,2L%3L<:2
 (*),2L%3L<:2,-1,2L%3L<:-1.14
 (*),2L%3L<:2,0,0L%1L<:2
@@ -2563,6 +2712,7 @@
 (*),2L%3L<:2,1L%2L<:3L%4L,1L%3L<:11L%4L
 (*),2L%3L<:2,-inf,inf<:-1.14
 (*),2L%3L<:2,nan,nan<:2
+(*),2L%3L<:2,x,__failed__
 (*),1L%2L<:3L%4L,1,1L%2L<:3L%4L
 (*),1L%2L<:3L%4L,-1,1L%2L<:-2.39
 (*),1L%2L<:3L%4L,0,0L%1L<:3L%4L
@@ -2586,6 +2736,7 @@
 (*),1L%2L<:3L%4L,1L%2L<:3L%4L,1L%4L<:3L%2L
 (*),1L%2L<:3L%4L,-inf,inf<:-2.39
 (*),1L%2L<:3L%4L,nan,nan<:3L%4L
+(*),1L%2L<:3L%4L,x,__failed__
 (*),-inf,1,-inf
 (*),-inf,-1,inf
 (*),-inf,0,nan
@@ -2609,6 +2760,7 @@
 (*),-inf,1L%2L<:3L%4L,inf<:-2.39
 (*),-inf,-inf,inf
 (*),-inf,nan,nan
+(*),-inf,x,__failed__
 (*),nan,1,nan
 (*),nan,-1,nan
 (*),nan,0,nan
@@ -2632,6 +2784,31 @@
 (*),nan,1L%2L<:3L%4L,nan<:3L%4L
 (*),nan,-inf,nan
 (*),nan,nan,nan
+(*),nan,x,__failed__
+(*),x,1,__failed__
+(*),x,-1,__failed__
+(*),x,0,__failed__
+(*),x,0.00,__failed__
+(*),x,1.20,__failed__
+(*),x,-1.20,__failed__
+(*),x,1L%3L,__failed__
+(*),x,(-1L)%4L,__failed__
+(*),x,1+:2,__failed__
+(*),x,-1+:2,__failed__
+(*),x,1+:-2,__failed__
+(*),x,-1.20+:4.30,__failed__
+(*),x,1.20+:-4.30,__failed__
+(*),x,1L%2L+:1,__failed__
+(*),x,1L%2L+:3L%4L,__failed__
+(*),x,3<:1,__failed__
+(*),x,3<:-2.14,__failed__
+(*),x,3.00<:-3,__failed__
+(*),x,3.10<:2.50,__failed__
+(*),x,2L%3L<:2,__failed__
+(*),x,1L%2L<:3L%4L,__failed__
+(*),x,-inf,__failed__
+(*),x,nan,__failed__
+(*),x,x,__failed__
 (/),1,1,1.00
 (/),1,-1,-1.00
 (/),1,0,inf
@@ -2655,6 +2832,7 @@
 (/),1,1L%2L<:3L%4L,2.00<:(-3L)%4L
 (/),1,-inf,-0.00
 (/),1,nan,nan
+(/),1,x,__failed__
 (/),-1,1,-1.00
 (/),-1,-1,1.00
 (/),-1,0,-inf
@@ -2678,6 +2856,7 @@
 (/),-1,1L%2L<:3L%4L,2.00<:2.39
 (/),-1,-inf,0.00
 (/),-1,nan,nan
+(/),-1,x,__failed__
 (/),0,1,0.00
 (/),0,-1,-0.00
 (/),0,0,nan
@@ -2701,6 +2880,7 @@
 (/),0,1L%2L<:3L%4L,0.00<:(-3L)%4L
 (/),0,-inf,-0.00
 (/),0,nan,nan
+(/),0,x,__failed__
 (/),0.00,1,0.00
 (/),0.00,-1,-0.00
 (/),0.00,0,nan
@@ -2724,6 +2904,7 @@
 (/),0.00,1L%2L<:3L%4L,0.00<:(-3L)%4L
 (/),0.00,-inf,-0.00
 (/),0.00,nan,nan
+(/),0.00,x,__failed__
 (/),1.20,1,1.20
 (/),1.20,-1,-1.20
 (/),1.20,0,inf
@@ -2747,6 +2928,7 @@
 (/),1.20,1L%2L<:3L%4L,2.40<:(-3L)%4L
 (/),1.20,-inf,-0.00
 (/),1.20,nan,nan
+(/),1.20,x,__failed__
 (/),-1.20,1,-1.20
 (/),-1.20,-1,1.20
 (/),-1.20,0,-inf
@@ -2770,6 +2952,7 @@
 (/),-1.20,1L%2L<:3L%4L,2.40<:2.39
 (/),-1.20,-inf,0.00
 (/),-1.20,nan,nan
+(/),-1.20,x,__failed__
 (/),1L%3L,1,0.333
 (/),1L%3L,-1,-0.333
 (/),1L%3L,0,inf
@@ -2793,6 +2976,7 @@
 (/),1L%3L,1L%2L<:3L%4L,0.667<:(-3L)%4L
 (/),1L%3L,-inf,-0.00
 (/),1L%3L,nan,nan
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 (/),(-1L)%4L,1,-0.250
 (/),(-1L)%4L,-1,0.250
 (/),(-1L)%4L,0,-inf
@@ -2816,6 +3000,7 @@
 (/),(-1L)%4L,1L%2L<:3L%4L,0.500<:2.39
 (/),(-1L)%4L,-inf,0.00
 (/),(-1L)%4L,nan,nan
+(/),(-1L)%4L,x,__failed__
 (/),1+:2,1,1.00+:2.00
 (/),1+:2,-1,-1.00+:-2.00
 (/),1+:2,0,inf+:inf
@@ -2839,6 +3024,7 @@
 (/),1+:2,1L%2L<:3L%4L,4.19+:1.56
 (/),1+:2,-inf,-0.00+:-0.00
 (/),1+:2,nan,nan+:nan
+(/),1+:2,x,__failed__
 (/),-1+:2,1,-1.00+:2.00
 (/),-1+:2,-1,1.00+:-2.00
 (/),-1+:2,0,-inf+:inf
@@ -2862,6 +3048,7 @@
 (/),-1+:2,1L%2L<:3L%4L,1.26+:4.29
 (/),-1+:2,-inf,0.00+:-0.00
 (/),-1+:2,nan,nan+:nan
+(/),-1+:2,x,__failed__
 (/),1+:-2,1,1.00+:-2.00
 (/),1+:-2,-1,-1.00+:2.00
 (/),1+:-2,0,inf+:-inf
@@ -2885,6 +3072,7 @@
 (/),1+:-2,1L%2L<:3L%4L,-1.26+:-4.29
 (/),1+:-2,-inf,-0.00+:0.00
 (/),1+:-2,nan,nan+:nan
+(/),1+:-2,x,__failed__
 (/),-1.20+:4.30,1,-1.20+:4.30
 (/),-1.20+:4.30,-1,1.20+:-4.30
 (/),-1.20+:4.30,0,-inf+:inf
@@ -2908,6 +3096,7 @@
 (/),-1.20+:4.30,1L%2L<:3L%4L,4.11+:7.93
 (/),-1.20+:4.30,-inf,0.00+:-0.00
 (/),-1.20+:4.30,nan,nan+:nan
+(/),-1.20+:4.30,x,__failed__
 (/),1.20+:-4.30,1,1.20+:-4.30
 (/),1.20+:-4.30,-1,-1.20+:4.30
 (/),1.20+:-4.30,0,inf+:-inf
@@ -2931,6 +3120,7 @@
 (/),1.20+:-4.30,1L%2L<:3L%4L,-4.11+:-7.93
 (/),1.20+:-4.30,-inf,-0.00+:0.00
 (/),1.20+:-4.30,nan,nan+:nan
+(/),1.20+:-4.30,x,__failed__
 (/),1L%2L+:1,1,0.500+:1.00
 (/),1L%2L+:1,-1,-0.500+:-1.00
 (/),1L%2L+:1,0,inf+:inf
@@ -2954,6 +3144,7 @@
 (/),1L%2L+:1,1L%2L<:3L%4L,2.09+:0.782
 (/),1L%2L+:1,-inf,-0.00+:-0.00
 (/),1L%2L+:1,nan,nan+:nan
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 (/),1L%2L+:3L%4L,1,0.500+:0.750
 (/),1L%2L+:3L%4L,-1,-0.500+:-0.750
 (/),1L%2L+:3L%4L,0,inf+:inf
@@ -2977,6 +3168,7 @@
 (/),1L%2L+:3L%4L,1L%2L<:3L%4L,1.75+:0.416
 (/),1L%2L+:3L%4L,-inf,-0.00+:-0.00
 (/),1L%2L+:3L%4L,nan,nan+:nan
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 (/),3<:1,1,3.00<:1
 (/),3<:1,-1,3.00<:-2.14
 (/),3<:1,0,inf<:1
@@ -3000,6 +3192,7 @@
 (/),3<:1,1L%2L<:3L%4L,6.00<:1L%4L
 (/),3<:1,-inf,-0.00<:1
 (/),3<:1,nan,nan<:1
+(/),3<:1,x,__failed__
 (/),3<:-2.14,1,3.00<:-2.14
 (/),3<:-2.14,-1,3.00<:1.00
 (/),3<:-2.14,0,inf<:-2.14
@@ -3023,6 +3216,7 @@
 (/),3<:-2.14,1L%2L<:3L%4L,6.00<:-2.89
 (/),3<:-2.14,-inf,-0.00<:-2.14
 (/),3<:-2.14,nan,nan<:-2.14
+(/),3<:-2.14,x,__failed__
 (/),3.00<:-3,1,3.00<:-3
 (/),3.00<:-3,-1,3.00<:0.142
 (/),3.00<:-3,0,inf<:-3
@@ -3046,6 +3240,7 @@
 (/),3.00<:-3,1L%2L<:3L%4L,6.00<:2.53
 (/),3.00<:-3,-inf,-0.00<:-3
 (/),3.00<:-3,nan,nan<:-3
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 (/),3.10<:2.50,1,3.10<:2.50
 (/),3.10<:2.50,-1,3.10<:-0.642
 (/),3.10<:2.50,0,inf<:2.50
@@ -3069,6 +3264,7 @@
 (/),3.10<:2.50,1L%2L<:3L%4L,6.20<:1.75
 (/),3.10<:2.50,-inf,-0.00<:2.50
 (/),3.10<:2.50,nan,nan<:2.50
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 (/),2L%3L<:2,1,0.667<:2
 (/),2L%3L<:2,-1,0.667<:-1.14
 (/),2L%3L<:2,0,inf<:2
@@ -3092,6 +3288,7 @@
 (/),2L%3L<:2,1L%2L<:3L%4L,1.33<:5L%4L
 (/),2L%3L<:2,-inf,-0.00<:2
 (/),2L%3L<:2,nan,nan<:2
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 (/),1L%2L<:3L%4L,1,0.500<:3L%4L
 (/),1L%2L<:3L%4L,-1,0.500<:-2.39
 (/),1L%2L<:3L%4L,0,inf<:3L%4L
@@ -3115,6 +3312,7 @@
 (/),1L%2L<:3L%4L,1L%2L<:3L%4L,1.00<:0L%1L
 (/),1L%2L<:3L%4L,-inf,-0.00<:3L%4L
 (/),1L%2L<:3L%4L,nan,nan<:3L%4L
+(/),1L%2L<:3L%4L,x,__failed__
 (/),-inf,1,-inf
 (/),-inf,-1,inf
 (/),-inf,0,-inf
@@ -3138,6 +3336,7 @@
 (/),-inf,1L%2L<:3L%4L,inf<:2.39
 (/),-inf,-inf,nan
 (/),-inf,nan,nan
+(/),-inf,x,__failed__
 (/),nan,1,nan
 (/),nan,-1,nan
 (/),nan,0,nan
@@ -3161,6 +3360,31 @@
 (/),nan,1L%2L<:3L%4L,nan<:(-3L)%4L
 (/),nan,-inf,nan
 (/),nan,nan,nan
+(/),nan,x,__failed__
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+(/),x,-1,__failed__
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+(/),x,1L%3L,__failed__
+(/),x,(-1L)%4L,__failed__
+(/),x,1+:2,__failed__
+(/),x,-1+:2,__failed__
+(/),x,1+:-2,__failed__
+(/),x,-1.20+:4.30,__failed__
+(/),x,1.20+:-4.30,__failed__
+(/),x,1L%2L+:1,__failed__
+(/),x,1L%2L+:3L%4L,__failed__
+(/),x,3<:1,__failed__
+(/),x,3<:-2.14,__failed__
+(/),x,3.00<:-3,__failed__
+(/),x,3.10<:2.50,__failed__
+(/),x,2L%3L<:2,__failed__
+(/),x,1L%2L<:3L%4L,__failed__
+(/),x,-inf,__failed__
+(/),x,nan,__failed__
+(/),x,x,__failed__
 (^),1,1,1.00
 (^),1,-1,1.00
 (^),1,0,1.00
@@ -3184,6 +3408,7 @@
 (^),1,1L%2L<:3L%4L,1.00<:0.00
 (^),1,-inf,1.00
 (^),1,nan,1.00
+(^),1,x,__failed__
 (^),-1,1,-1.00
 (^),-1,-1,-1.00
 (^),-1,0,1.00
@@ -3207,6 +3432,7 @@
 (^),-1,1L%2L<:3L%4L,0.343<:1.15
 (^),-1,-inf,1.00
 (^),-1,nan,nan
+(^),-1,x,__failed__
 (^),0,1,0.00
 (^),0,-1,inf
 (^),0,0,1.00
@@ -3230,6 +3456,7 @@
 (^),0,1L%2L<:3L%4L,0.00<:nan
 (^),0,-inf,inf
 (^),0,nan,nan
+(^),0,x,__failed__
 (^),0.00,1,0.00
 (^),0.00,-1,inf
 (^),0.00,0,1.00
@@ -3253,6 +3480,7 @@
 (^),0.00,1L%2L<:3L%4L,0.00<:nan
 (^),0.00,-inf,inf
 (^),0.00,nan,nan
+(^),0.00,x,__failed__
 (^),1.20,1,1.20
 (^),1.20,-1,0.833
 (^),1.20,0,1.00
@@ -3276,6 +3504,7 @@
 (^),1.20,1L%2L<:3L%4L,1.07<:0.0621
 (^),1.20,-inf,0.00
 (^),1.20,nan,nan
+(^),1.20,x,__failed__
 (^),-1.20,1,-1.20
 (^),-1.20,-1,-0.833
 (^),-1.20,0,1.00
@@ -3299,6 +3528,7 @@
 (^),-1.20,1L%2L<:3L%4L,0.366<:1.21
 (^),-1.20,-inf,0.00
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+(^),-1.20,x,__failed__
 (^),1L%3L,1,0.333
 (^),1L%3L,-1,3.00
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@@ -3322,6 +3552,7 @@
 (^),1L%3L,1L%2L<:3L%4L,0.669<:-0.374
 (^),1L%3L,-inf,inf
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 (^),(-1L)%4L,1,-0.250
 (^),(-1L)%4L,-1,-4.00
 (^),(-1L)%4L,0,1.00
@@ -3345,6 +3576,7 @@
 (^),(-1L)%4L,1L%2L<:3L%4L,0.206<:0.677
 (^),(-1L)%4L,-inf,inf
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+(^),(-1L)%4L,x,__failed__
 (^),1+:2,1,1.00+:2.00
 (^),1+:2,-1,0.200+:-0.400
 (^),1+:2,0,1.00+:0.00
@@ -3368,6 +3600,7 @@
 (^),1+:2,1L%2L<:3L%4L,0.716+:0.578
 (^),1+:2,-inf,nan+:nan
 (^),1+:2,nan,nan+:nan
+(^),1+:2,x,__failed__
 (^),-1+:2,1,-1.00+:2.00
 (^),-1+:2,-1,-0.200+:-0.400
 (^),-1+:2,0,1.00+:0.00
@@ -3391,6 +3624,7 @@
 (^),-1+:2,1L%2L<:3L%4L,0.352+:0.571
 (^),-1+:2,-inf,nan+:nan
 (^),-1+:2,nan,nan+:nan
+(^),-1+:2,x,__failed__
 (^),1+:-2,1,1.00+:-2.00
 (^),1+:-2,-1,0.200+:0.400
 (^),1+:-2,0,1.00+:-0.00
@@ -3414,6 +3648,7 @@
 (^),1+:-2,1L%2L<:3L%4L,1.94+:-0.255
 (^),1+:-2,-inf,nan+:nan
 (^),1+:-2,nan,nan+:nan
+(^),1+:-2,x,__failed__
 (^),-1.20+:4.30,1,-1.20+:4.30
 (^),-1.20+:4.30,-1,-0.0602+:-0.216
 (^),-1.20+:4.30,0,1.00+:0.00
@@ -3437,6 +3672,7 @@
 (^),-1.20+:4.30,1L%2L<:3L%4L,0.348+:0.854
 (^),-1.20+:4.30,-inf,nan+:nan
 (^),-1.20+:4.30,nan,nan+:nan
+(^),-1.20+:4.30,x,__failed__
 (^),1.20+:-4.30,1,1.20+:-4.30
 (^),1.20+:-4.30,-1,0.0602+:0.216
 (^),1.20+:-4.30,0,1.00+:-0.00
@@ -3460,6 +3696,7 @@
 (^),1.20+:-4.30,1L%2L<:3L%4L,2.69+:0.0936
 (^),1.20+:-4.30,-inf,nan+:nan
 (^),1.20+:-4.30,nan,nan+:nan
+(^),1.20+:-4.30,x,__failed__
 (^),1L%2L+:1,1,0.500+:1.00
 (^),1L%2L+:1,-1,0.400+:-0.800
 (^),1L%2L+:1,0,1.00+:0.00
@@ -3483,6 +3720,7 @@
 (^),1L%2L+:1,1L%2L<:3L%4L,0.645+:0.306
 (^),1L%2L+:1,-inf,nan+:nan
 (^),1L%2L+:1,nan,nan+:nan
+(^),1L%2L+:1,x,__failed__
 (^),1L%2L+:3L%4L,1,0.500+:0.750
 (^),1L%2L+:3L%4L,-1,0.615+:-0.923
 (^),1L%2L+:3L%4L,0,1.00+:0.00
@@ -3506,6 +3744,7 @@
 (^),1L%2L+:3L%4L,1L%2L<:3L%4L,0.653+:0.219
 (^),1L%2L+:3L%4L,-inf,nan+:nan
 (^),1L%2L+:3L%4L,nan,nan+:nan
+(^),1L%2L+:3L%4L,x,__failed__
 (^),3<:1,1,3.00<:1.00
 (^),3<:1,-1,0.333<:-1.00
 (^),3<:1,0,1.00<:0.00
@@ -3529,6 +3768,7 @@
 (^),3<:1,1L%2L<:3L%4L,1.06<:0.740
 (^),3<:1,-inf,0.00<:nan
 (^),3<:1,nan,nan<:nan
+(^),3<:1,x,__failed__
 (^),3<:-2.14,1,3.00<:-2.14
 (^),3<:-2.14,-1,0.333<:2.14
 (^),3<:-2.14,0,1.00<:-0.00
@@ -3552,6 +3792,7 @@
 (^),3<:-2.14,1L%2L<:3L%4L,3.10<:-0.409
 (^),3<:-2.14,-inf,0.00<:nan
 (^),3<:-2.14,nan,nan<:nan
+(^),3<:-2.14,x,__failed__
 (^),3.00<:-3,1,3.00<:-3.00
 (^),3.00<:-3,-1,0.333<:3.00
 (^),3.00<:-3,0,1.00<:-0.00
@@ -3575,6 +3816,7 @@
 (^),3.00<:-3,1L%2L<:3L%4L,4.16<:-0.723
 (^),3.00<:-3,-inf,0.00<:nan
 (^),3.00<:-3,nan,nan<:nan
+(^),3.00<:-3,x,__failed__
 (^),3.10<:2.50,1,3.10<:2.50
 (^),3.10<:2.50,-1,0.323<:-2.50
 (^),3.10<:2.50,0,1.00<:0.00
@@ -3598,6 +3840,7 @@
 (^),3.10<:2.50,1L%2L<:3L%4L,0.645<:1.30
 (^),3.10<:2.50,-inf,0.00<:nan
 (^),3.10<:2.50,nan,nan<:nan
+(^),3.10<:2.50,x,__failed__
 (^),2L%3L<:2,1,0.667<:2.00
 (^),2L%3L<:2,-1,1.50<:-2.00
 (^),2L%3L<:2,0,1.00<:0.00
@@ -3621,6 +3864,7 @@
 (^),2L%3L<:2,1L%2L<:3L%4L,0.436<:0.593
 (^),2L%3L<:2,-inf,inf<:nan
 (^),2L%3L<:2,nan,nan<:nan
+(^),2L%3L<:2,x,__failed__
 (^),1L%2L<:3L%4L,1,0.500<:0.750
 (^),1L%2L<:3L%4L,-1,2.00<:-0.750
 (^),1L%2L<:3L%4L,0,1.00<:0.00
@@ -3644,6 +3888,7 @@
 (^),1L%2L<:3L%4L,1L%2L<:3L%4L,0.601<:0.0381
 (^),1L%2L<:3L%4L,-inf,inf<:nan
 (^),1L%2L<:3L%4L,nan,nan<:nan
+(^),1L%2L<:3L%4L,x,__failed__
 (^),-inf,1,-inf
 (^),-inf,-1,-0.00
 (^),-inf,0,1.00
@@ -3667,6 +3912,7 @@
 (^),-inf,1L%2L<:3L%4L,inf<:nan
 (^),-inf,-inf,0.00
 (^),-inf,nan,nan
+(^),-inf,x,__failed__
 (^),nan,1,nan
 (^),nan,-1,nan
 (^),nan,0,1.00
@@ -3690,6 +3936,31 @@
 (^),nan,1L%2L<:3L%4L,nan<:nan
 (^),nan,-inf,nan
 (^),nan,nan,nan
+(^),nan,x,__failed__
+(^),x,1,__failed__
+(^),x,-1,__failed__
+(^),x,0,__failed__
+(^),x,0.00,__failed__
+(^),x,1.20,__failed__
+(^),x,-1.20,__failed__
+(^),x,1L%3L,__failed__
+(^),x,(-1L)%4L,__failed__
+(^),x,1+:2,__failed__
+(^),x,-1+:2,__failed__
+(^),x,1+:-2,__failed__
+(^),x,-1.20+:4.30,__failed__
+(^),x,1.20+:-4.30,__failed__
+(^),x,1L%2L+:1,__failed__
+(^),x,1L%2L+:3L%4L,__failed__
+(^),x,3<:1,__failed__
+(^),x,3<:-2.14,__failed__
+(^),x,3.00<:-3,__failed__
+(^),x,3.10<:2.50,__failed__
+(^),x,2L%3L<:2,__failed__
+(^),x,1L%2L<:3L%4L,__failed__
+(^),x,-inf,__failed__
+(^),x,nan,__failed__
+(^),x,x,__failed__
 atan2,1,1,0.785
 atan2,1,-1,2.36
 atan2,1,0,1.57
@@ -3713,6 +3984,7 @@
 atan2,1,1L%2L<:3L%4L,__failed__
 atan2,1,-inf,3.14
 atan2,1,nan,nan
+atan2,1,x,__failed__
 atan2,-1,1,-0.785
 atan2,-1,-1,-2.36
 atan2,-1,0,-1.57
@@ -3736,6 +4008,7 @@
 atan2,-1,1L%2L<:3L%4L,__failed__
 atan2,-1,-inf,-3.14
 atan2,-1,nan,nan
+atan2,-1,x,__failed__
 atan2,0,1,0.00
 atan2,0,-1,3.14
 atan2,0,0,0.00
@@ -3759,6 +4032,7 @@
 atan2,0,1L%2L<:3L%4L,__failed__
 atan2,0,-inf,3.14
 atan2,0,nan,nan
+atan2,0,x,__failed__
 atan2,0.00,1,0.00
 atan2,0.00,-1,3.14
 atan2,0.00,0,0.00
@@ -3782,6 +4056,7 @@
 atan2,0.00,1L%2L<:3L%4L,__failed__
 atan2,0.00,-inf,3.14
 atan2,0.00,nan,nan
+atan2,0.00,x,__failed__
 atan2,1.20,1,0.876
 atan2,1.20,-1,2.27
 atan2,1.20,0,1.57
@@ -3805,6 +4080,7 @@
 atan2,1.20,1L%2L<:3L%4L,__failed__
 atan2,1.20,-inf,3.14
 atan2,1.20,nan,nan
+atan2,1.20,x,__failed__
 atan2,-1.20,1,-0.876
 atan2,-1.20,-1,-2.27
 atan2,-1.20,0,-1.57
@@ -3828,6 +4104,7 @@
 atan2,-1.20,1L%2L<:3L%4L,__failed__
 atan2,-1.20,-inf,-3.14
 atan2,-1.20,nan,nan
+atan2,-1.20,x,__failed__
 atan2,1L%3L,1,0.322
 atan2,1L%3L,-1,2.82
 atan2,1L%3L,0,1.57
@@ -3851,6 +4128,7 @@
 atan2,1L%3L,1L%2L<:3L%4L,__failed__
 atan2,1L%3L,-inf,3.14
 atan2,1L%3L,nan,nan
+atan2,1L%3L,x,__failed__
 atan2,(-1L)%4L,1,-0.245
 atan2,(-1L)%4L,-1,-2.90
 atan2,(-1L)%4L,0,-1.57
@@ -3874,6 +4152,7 @@
 atan2,(-1L)%4L,1L%2L<:3L%4L,__failed__
 atan2,(-1L)%4L,-inf,-3.14
 atan2,(-1L)%4L,nan,nan
+atan2,(-1L)%4L,x,__failed__
 atan2,1+:2,1,__failed__
 atan2,1+:2,-1,__failed__
 atan2,1+:2,0,__failed__
@@ -3897,6 +4176,7 @@
 atan2,1+:2,1L%2L<:3L%4L,__failed__
 atan2,1+:2,-inf,__failed__
 atan2,1+:2,nan,__failed__
+atan2,1+:2,x,__failed__
 atan2,-1+:2,1,__failed__
 atan2,-1+:2,-1,__failed__
 atan2,-1+:2,0,__failed__
@@ -3920,6 +4200,7 @@
 atan2,-1+:2,1L%2L<:3L%4L,__failed__
 atan2,-1+:2,-inf,__failed__
 atan2,-1+:2,nan,__failed__
+atan2,-1+:2,x,__failed__
 atan2,1+:-2,1,__failed__
 atan2,1+:-2,-1,__failed__
 atan2,1+:-2,0,__failed__
@@ -3943,6 +4224,7 @@
 atan2,1+:-2,1L%2L<:3L%4L,__failed__
 atan2,1+:-2,-inf,__failed__
 atan2,1+:-2,nan,__failed__
+atan2,1+:-2,x,__failed__
 atan2,-1.20+:4.30,1,__failed__
 atan2,-1.20+:4.30,-1,__failed__
 atan2,-1.20+:4.30,0,__failed__
@@ -3966,6 +4248,7 @@
 atan2,-1.20+:4.30,1L%2L<:3L%4L,__failed__
 atan2,-1.20+:4.30,-inf,__failed__
 atan2,-1.20+:4.30,nan,__failed__
+atan2,-1.20+:4.30,x,__failed__
 atan2,1.20+:-4.30,1,__failed__
 atan2,1.20+:-4.30,-1,__failed__
 atan2,1.20+:-4.30,0,__failed__
@@ -3989,6 +4272,7 @@
 atan2,1.20+:-4.30,1L%2L<:3L%4L,__failed__
 atan2,1.20+:-4.30,-inf,__failed__
 atan2,1.20+:-4.30,nan,__failed__
+atan2,1.20+:-4.30,x,__failed__
 atan2,1L%2L+:1,1,__failed__
 atan2,1L%2L+:1,-1,__failed__
 atan2,1L%2L+:1,0,__failed__
@@ -4012,6 +4296,7 @@
 atan2,1L%2L+:1,1L%2L<:3L%4L,__failed__
 atan2,1L%2L+:1,-inf,__failed__
 atan2,1L%2L+:1,nan,__failed__
+atan2,1L%2L+:1,x,__failed__
 atan2,1L%2L+:3L%4L,1,__failed__
 atan2,1L%2L+:3L%4L,-1,__failed__
 atan2,1L%2L+:3L%4L,0,__failed__
@@ -4035,6 +4320,7 @@
 atan2,1L%2L+:3L%4L,1L%2L<:3L%4L,__failed__
 atan2,1L%2L+:3L%4L,-inf,__failed__
 atan2,1L%2L+:3L%4L,nan,__failed__
+atan2,1L%2L+:3L%4L,x,__failed__
 atan2,3<:1,1,__failed__
 atan2,3<:1,-1,__failed__
 atan2,3<:1,0,__failed__
@@ -4058,6 +4344,7 @@
 atan2,3<:1,1L%2L<:3L%4L,__failed__
 atan2,3<:1,-inf,__failed__
 atan2,3<:1,nan,__failed__
+atan2,3<:1,x,__failed__
 atan2,3<:-2.14,1,__failed__
 atan2,3<:-2.14,-1,__failed__
 atan2,3<:-2.14,0,__failed__
@@ -4081,6 +4368,7 @@
 atan2,3<:-2.14,1L%2L<:3L%4L,__failed__
 atan2,3<:-2.14,-inf,__failed__
 atan2,3<:-2.14,nan,__failed__
+atan2,3<:-2.14,x,__failed__
 atan2,3.00<:-3,1,__failed__
 atan2,3.00<:-3,-1,__failed__
 atan2,3.00<:-3,0,__failed__
@@ -4104,6 +4392,7 @@
 atan2,3.00<:-3,1L%2L<:3L%4L,__failed__
 atan2,3.00<:-3,-inf,__failed__
 atan2,3.00<:-3,nan,__failed__
+atan2,3.00<:-3,x,__failed__
 atan2,3.10<:2.50,1,__failed__
 atan2,3.10<:2.50,-1,__failed__
 atan2,3.10<:2.50,0,__failed__
@@ -4127,6 +4416,7 @@
 atan2,3.10<:2.50,1L%2L<:3L%4L,__failed__
 atan2,3.10<:2.50,-inf,__failed__
 atan2,3.10<:2.50,nan,__failed__
+atan2,3.10<:2.50,x,__failed__
 atan2,2L%3L<:2,1,__failed__
 atan2,2L%3L<:2,-1,__failed__
 atan2,2L%3L<:2,0,__failed__
@@ -4150,6 +4440,7 @@
 atan2,2L%3L<:2,1L%2L<:3L%4L,__failed__
 atan2,2L%3L<:2,-inf,__failed__
 atan2,2L%3L<:2,nan,__failed__
+atan2,2L%3L<:2,x,__failed__
 atan2,1L%2L<:3L%4L,1,__failed__
 atan2,1L%2L<:3L%4L,-1,__failed__
 atan2,1L%2L<:3L%4L,0,__failed__
@@ -4173,6 +4464,7 @@
 atan2,1L%2L<:3L%4L,1L%2L<:3L%4L,__failed__
 atan2,1L%2L<:3L%4L,-inf,__failed__
 atan2,1L%2L<:3L%4L,nan,__failed__
+atan2,1L%2L<:3L%4L,x,__failed__
 atan2,-inf,1,-1.57
 atan2,-inf,-1,-1.57
 atan2,-inf,0,-1.57
@@ -4196,6 +4488,7 @@
 atan2,-inf,1L%2L<:3L%4L,__failed__
 atan2,-inf,-inf,-2.36
 atan2,-inf,nan,nan
+atan2,-inf,x,__failed__
 atan2,nan,1,nan
 atan2,nan,-1,nan
 atan2,nan,0,nan
@@ -4219,6 +4512,31 @@
 atan2,nan,1L%2L<:3L%4L,__failed__
 atan2,nan,-inf,nan
 atan2,nan,nan,nan
+atan2,nan,x,__failed__
+atan2,x,1,__failed__
+atan2,x,-1,__failed__
+atan2,x,0,__failed__
+atan2,x,0.00,__failed__
+atan2,x,1.20,__failed__
+atan2,x,-1.20,__failed__
+atan2,x,1L%3L,__failed__
+atan2,x,(-1L)%4L,__failed__
+atan2,x,1+:2,__failed__
+atan2,x,-1+:2,__failed__
+atan2,x,1+:-2,__failed__
+atan2,x,-1.20+:4.30,__failed__
+atan2,x,1.20+:-4.30,__failed__
+atan2,x,1L%2L+:1,__failed__
+atan2,x,1L%2L+:3L%4L,__failed__
+atan2,x,3<:1,__failed__
+atan2,x,3<:-2.14,__failed__
+atan2,x,3.00<:-3,__failed__
+atan2,x,3.10<:2.50,__failed__
+atan2,x,2L%3L<:2,__failed__
+atan2,x,1L%2L<:3L%4L,__failed__
+atan2,x,-inf,__failed__
+atan2,x,nan,__failed__
+atan2,x,x,__failed__
 pow,1,1,1L
 pow,1,-1,1L%1L
 pow,1,0,1L
@@ -4242,6 +4560,7 @@
 pow,1,1L%2L<:3L%4L,__failed__
 pow,1,-inf,__failed__
 pow,1,nan,__failed__
+pow,1,x,__failed__
 pow,-1,1,-1L
 pow,-1,-1,(-1L)%1L
 pow,-1,0,1L
@@ -4265,6 +4584,7 @@
 pow,-1,1L%2L<:3L%4L,__failed__
 pow,-1,-inf,__failed__
 pow,-1,nan,__failed__
+pow,-1,x,__failed__
 pow,0,1,0L
 pow,0,-1,__error__ (signal 8)
 pow,0,0,1L
@@ -4288,6 +4608,7 @@
 pow,0,1L%2L<:3L%4L,__failed__
 pow,0,-inf,__failed__
 pow,0,nan,__failed__
+pow,0,x,__failed__
 pow,0.00,1,__failed__
 pow,0.00,-1,__failed__
 pow,0.00,0,__failed__
@@ -4311,6 +4632,7 @@
 pow,0.00,1L%2L<:3L%4L,__failed__
 pow,0.00,-inf,__failed__
 pow,0.00,nan,__failed__
+pow,0.00,x,__failed__
 pow,1.20,1,__failed__
 pow,1.20,-1,__failed__
 pow,1.20,0,__failed__
@@ -4334,6 +4656,7 @@
 pow,1.20,1L%2L<:3L%4L,__failed__
 pow,1.20,-inf,__failed__
 pow,1.20,nan,__failed__
+pow,1.20,x,__failed__
 pow,-1.20,1,__failed__
 pow,-1.20,-1,__failed__
 pow,-1.20,0,__failed__
@@ -4357,6 +4680,7 @@
 pow,-1.20,1L%2L<:3L%4L,__failed__
 pow,-1.20,-inf,__failed__
 pow,-1.20,nan,__failed__
+pow,-1.20,x,__failed__
 pow,1L%3L,1,1L%3L
 pow,1L%3L,-1,3L%1L
 pow,1L%3L,0,1L%1L
@@ -4380,6 +4704,7 @@
 pow,1L%3L,1L%2L<:3L%4L,__failed__
 pow,1L%3L,-inf,__failed__
 pow,1L%3L,nan,__failed__
+pow,1L%3L,x,__failed__
 pow,(-1L)%4L,1,(-1L)%4L
 pow,(-1L)%4L,-1,(-4L)%1L
 pow,(-1L)%4L,0,1L%1L
@@ -4403,6 +4728,7 @@
 pow,(-1L)%4L,1L%2L<:3L%4L,__failed__
 pow,(-1L)%4L,-inf,__failed__
 pow,(-1L)%4L,nan,__failed__
+pow,(-1L)%4L,x,__failed__
 pow,1+:2,1,__failed__
 pow,1+:2,-1,__failed__
 pow,1+:2,0,__failed__
@@ -4426,6 +4752,7 @@
 pow,1+:2,1L%2L<:3L%4L,__failed__
 pow,1+:2,-inf,__failed__
 pow,1+:2,nan,__failed__
+pow,1+:2,x,__failed__
 pow,-1+:2,1,__failed__
 pow,-1+:2,-1,__failed__
 pow,-1+:2,0,__failed__
@@ -4449,6 +4776,7 @@
 pow,-1+:2,1L%2L<:3L%4L,__failed__
 pow,-1+:2,-inf,__failed__
 pow,-1+:2,nan,__failed__
+pow,-1+:2,x,__failed__
 pow,1+:-2,1,__failed__
 pow,1+:-2,-1,__failed__
 pow,1+:-2,0,__failed__
@@ -4472,6 +4800,7 @@
 pow,1+:-2,1L%2L<:3L%4L,__failed__
 pow,1+:-2,-inf,__failed__
 pow,1+:-2,nan,__failed__
+pow,1+:-2,x,__failed__
 pow,-1.20+:4.30,1,__failed__
 pow,-1.20+:4.30,-1,__failed__
 pow,-1.20+:4.30,0,__failed__
@@ -4495,6 +4824,7 @@
 pow,-1.20+:4.30,1L%2L<:3L%4L,__failed__
 pow,-1.20+:4.30,-inf,__failed__
 pow,-1.20+:4.30,nan,__failed__
+pow,-1.20+:4.30,x,__failed__
 pow,1.20+:-4.30,1,__failed__
 pow,1.20+:-4.30,-1,__failed__
 pow,1.20+:-4.30,0,__failed__
@@ -4518,6 +4848,7 @@
 pow,1.20+:-4.30,1L%2L<:3L%4L,__failed__
 pow,1.20+:-4.30,-inf,__failed__
 pow,1.20+:-4.30,nan,__failed__
+pow,1.20+:-4.30,x,__failed__
 pow,1L%2L+:1,1,__failed__
 pow,1L%2L+:1,-1,__failed__
 pow,1L%2L+:1,0,__failed__
@@ -4541,6 +4872,7 @@
 pow,1L%2L+:1,1L%2L<:3L%4L,__failed__
 pow,1L%2L+:1,-inf,__failed__
 pow,1L%2L+:1,nan,__failed__
+pow,1L%2L+:1,x,__failed__
 pow,1L%2L+:3L%4L,1,__failed__
 pow,1L%2L+:3L%4L,-1,__failed__
 pow,1L%2L+:3L%4L,0,__failed__
@@ -4564,6 +4896,7 @@
 pow,1L%2L+:3L%4L,1L%2L<:3L%4L,__failed__
 pow,1L%2L+:3L%4L,-inf,__failed__
 pow,1L%2L+:3L%4L,nan,__failed__
+pow,1L%2L+:3L%4L,x,__failed__
 pow,3<:1,1,__failed__
 pow,3<:1,-1,__failed__
 pow,3<:1,0,__failed__
@@ -4587,6 +4920,7 @@
 pow,3<:1,1L%2L<:3L%4L,__failed__
 pow,3<:1,-inf,__failed__
 pow,3<:1,nan,__failed__
+pow,3<:1,x,__failed__
 pow,3<:-2.14,1,__failed__
 pow,3<:-2.14,-1,__failed__
 pow,3<:-2.14,0,__failed__
@@ -4610,6 +4944,7 @@
 pow,3<:-2.14,1L%2L<:3L%4L,__failed__
 pow,3<:-2.14,-inf,__failed__
 pow,3<:-2.14,nan,__failed__
+pow,3<:-2.14,x,__failed__
 pow,3.00<:-3,1,__failed__
 pow,3.00<:-3,-1,__failed__
 pow,3.00<:-3,0,__failed__
@@ -4633,6 +4968,7 @@
 pow,3.00<:-3,1L%2L<:3L%4L,__failed__
 pow,3.00<:-3,-inf,__failed__
 pow,3.00<:-3,nan,__failed__
+pow,3.00<:-3,x,__failed__
 pow,3.10<:2.50,1,__failed__
 pow,3.10<:2.50,-1,__failed__
 pow,3.10<:2.50,0,__failed__
@@ -4656,6 +4992,7 @@
 pow,3.10<:2.50,1L%2L<:3L%4L,__failed__
 pow,3.10<:2.50,-inf,__failed__
 pow,3.10<:2.50,nan,__failed__
+pow,3.10<:2.50,x,__failed__
 pow,2L%3L<:2,1,__failed__
 pow,2L%3L<:2,-1,__failed__
 pow,2L%3L<:2,0,__failed__
@@ -4679,6 +5016,7 @@
 pow,2L%3L<:2,1L%2L<:3L%4L,__failed__
 pow,2L%3L<:2,-inf,__failed__
 pow,2L%3L<:2,nan,__failed__
+pow,2L%3L<:2,x,__failed__
 pow,1L%2L<:3L%4L,1,__failed__
 pow,1L%2L<:3L%4L,-1,__failed__
 pow,1L%2L<:3L%4L,0,__failed__
@@ -4702,6 +5040,7 @@
 pow,1L%2L<:3L%4L,1L%2L<:3L%4L,__failed__
 pow,1L%2L<:3L%4L,-inf,__failed__
 pow,1L%2L<:3L%4L,nan,__failed__
+pow,1L%2L<:3L%4L,x,__failed__
 pow,-inf,1,__failed__
 pow,-inf,-1,__failed__
 pow,-inf,0,__failed__
@@ -4725,6 +5064,7 @@
 pow,-inf,1L%2L<:3L%4L,__failed__
 pow,-inf,-inf,__failed__
 pow,-inf,nan,__failed__
+pow,-inf,x,__failed__
 pow,nan,1,__failed__
 pow,nan,-1,__failed__
 pow,nan,0,__failed__
@@ -4748,6 +5088,31 @@
 pow,nan,1L%2L<:3L%4L,__failed__
 pow,nan,-inf,__failed__
 pow,nan,nan,__failed__
+pow,nan,x,__failed__
+pow,x,1,__failed__
+pow,x,-1,__failed__
+pow,x,0,__failed__
+pow,x,0.00,__failed__
+pow,x,1.20,__failed__
+pow,x,-1.20,__failed__
+pow,x,1L%3L,__failed__
+pow,x,(-1L)%4L,__failed__
+pow,x,1+:2,__failed__
+pow,x,-1+:2,__failed__
+pow,x,1+:-2,__failed__
+pow,x,-1.20+:4.30,__failed__
+pow,x,1.20+:-4.30,__failed__
+pow,x,1L%2L+:1,__failed__
+pow,x,1L%2L+:3L%4L,__failed__
+pow,x,3<:1,__failed__
+pow,x,3<:-2.14,__failed__
+pow,x,3.00<:-3,__failed__
+pow,x,3.10<:2.50,__failed__
+pow,x,2L%3L<:2,__failed__
+pow,x,1L%2L<:3L%4L,__failed__
+pow,x,-inf,__failed__
+pow,x,nan,__failed__
+pow,x,x,__failed__
 puts "*** UNARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [test (f/*1:*/,x/*0:*/)] {
   rule #0: x = [test (f,x)]
   state 0: #0

Modified: pure/trunk/test/test020.pure
===================================================================
--- pure/trunk/test/test020.pure	2008-08-23 22:10:16 UTC (rev 587)
+++ pure/trunk/test/test020.pure	2008-08-23 22:16:55 UTC (rev 588)
@@ -10,7 +10,7 @@
 	 inexactp, infp, nanp];
 let x = [1, -1, 0, 0.0, 1.2, -1.2, 1%3, -1%4, 1+:2, -1+:2, 1+:-2, -1.2+:4.3,
 	 1.2+:-4.3, 1%2+:1, 1%2+:3%4, 3<:1, -3<:1, 3.0<:-3, 3.1<:2.5, (2%3)<:2,
-	 (1%2)<:(3%4), -inf, nan];
+	 (1%2)<:(3%4), -inf, nan, x];
 
 // binary operations
 


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[pure-lang-svn] SF.net SVN: pure-lang:[587] pure/trunk/test

From: <ag...@us...> - 2008-08-23 22:10:06

Revision: 587
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=587&view=rev
Author:   agraef
Date:     2008-08-23 22:10:16 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Add math.pure exact/inexact/symbolic tests.

Added Paths:
-----------
    pure/trunk/test/test021.log
    pure/trunk/test/test021.pure

Added: pure/trunk/test/test021.log
===================================================================
--- pure/trunk/test/test021.log	                        (rev 0)
+++ pure/trunk/test/test021.log	2008-08-23 22:10:16 UTC (rev 587)
@@ -0,0 +1,295 @@
+let double_format = "%#0.3g";
+test (f/*0:101*/,x/*0:1101*/,y/*0:111*/) = puts$format (f/*0:101*/,x/*0:1101*/,y/*0:111*/,check (f/*0:101*/,x/*0:1101*/,y/*0:111*/) (catch __error__ (f/*1:101*/ x/*1:1101*/ y/*1:111*/)));
+test (f/*0:101*/,x/*0:11*/) = puts$format (f/*0:101*/,x/*0:11*/,check (f/*0:101*/,x/*0:11*/) (catch __error__ (f/*1:101*/ x/*1:11*/)));
+check _/*0:01*/ z/*0:1*/ = z/*0:1*/ if numberp z/*0:1*/;
+check (f/*0:0101*/,_/*0:011*/) (g@_/*0:100*/ _/*0:101*/ _/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:100*/;
+check (f/*0:0101*/,_/*0:011*/) (g@_/*0:10*/ _/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:10*/;
+check _/*0:01*/ z/*0:1*/ = z/*0:1*/;
+format (f/*0:101*/,x/*0:1101*/,y/*0:11101*/,z/*0:1111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show y/*0:11101*/+","+show z/*0:1111*/;
+format (f/*0:101*/,x/*0:1101*/,z/*0:111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show z/*0:111*/;
+show x/*0:1*/::double = sprintf double_format x/*0:1*/;
+show (x/*0:101*/+:y/*0:11*/) = show x/*0:101*/+"+:"+show y/*0:11*/;
+show (x/*0:101*/<:y/*0:11*/) = show x/*0:101*/+"<:"+show y/*0:11*/;
+show x/*0:1*/ = str x/*0:1*/;
+{
+  rule #0: check _ z = z if numberp z
+  rule #1: check (f,_) (g@_ _ _) = __failed__ if f===g
+  rule #2: check (f,_) (g@_ _) = __failed__ if f===g
+  rule #3: check _ z = z
+  state 0: #0 #1 #2 #3
+	<var> state 1
+	<app> state 3
+  state 1: #0 #3
+	<var> state 2
+  state 2: #0 #3
+  state 3: #0 #1 #2 #3
+	<var> state 4
+	<app> state 7
+  state 4: #0 #3
+	<var> state 5
+  state 5: #0 #3
+	<var> state 6
+  state 6: #0 #3
+  state 7: #0 #1 #2 #3
+	<var> state 8
+	, state 12
+  state 8: #0 #3
+	<var> state 9
+  state 9: #0 #3
+	<var> state 10
+  state 10: #0 #3
+	<var> state 11
+  state 11: #0 #3
+  state 12: #0 #1 #2 #3
+	<var> state 13
+  state 13: #0 #1 #2 #3
+	<var> state 14
+  state 14: #0 #1 #2 #3
+	<var> state 15
+	<app> state 16
+  state 15: #0 #3
+  state 16: #0 #1 #2 #3
+	<var> state 17
+	<app> state 19
+  state 17: #0 #2 #3
+	<var> state 18
+  state 18: #0 #2 #3
+  state 19: #0 #1 #2 #3
+	<var> state 20
+  state 20: #0 #1 #2 #3
+	<var> state 21
+  state 21: #0 #1 #2 #3
+	<var> state 22
+  state 22: #0 #1 #2 #3
+}
+{
+  rule #0: format (f,x,y,z) = str f+","+show x+","+show y+","+show z
+  rule #1: format (f,x,z) = str f+","+show x+","+show z
+  state 0: #0 #1
+	<app> state 1
+  state 1: #0 #1
+	<app> state 2
+  state 2: #0 #1
+	, state 3
+  state 3: #0 #1
+	<var> state 4
+  state 4: #0 #1
+	<app> state 5
+  state 5: #0 #1
+	<app> state 6
+  state 6: #0 #1
+	, state 7
+  state 7: #0 #1
+	<var> state 8
+  state 8: #0 #1
+	<var> state 9
+	<app> state 10
+  state 9: #1
+  state 10: #0 #1
+	<var> state 11
+	<app> state 13
+  state 11: #1
+	<var> state 12
+  state 12: #1
+  state 13: #0 #1
+	<var> state 14
+	, state 17
+  state 14: #1
+	<var> state 15
+  state 15: #1
+	<var> state 16
+  state 16: #1
+  state 17: #0 #1
+	<var> state 18
+  state 18: #0 #1
+	<var> state 19
+  state 19: #0 #1
+}
+{
+  rule #0: test (f,x,y) = puts$format (f,x,y,check (f,x,y) (catch __error__ (f x y)))
+  rule #1: test (f,x) = puts$format (f,x,check (f,x) (catch __error__ (f x)))
+  state 0: #0 #1
+	<app> state 1
+  state 1: #0 #1
+	<app> state 2
+  state 2: #0 #1
+	, state 3
+  state 3: #0 #1
+	<var> state 4
+  state 4: #0 #1
+	<var> state 5
+	<app> state 6
+  state 5: #1
+  state 6: #0 #1
+	<var> state 7
+	<app> state 9
+  state 7: #1
+	<var> state 8
+  state 8: #1
+  state 9: #0 #1
+	<var> state 10
+	, state 13
+  state 10: #1
+	<var> state 11
+  state 11: #1
+	<var> state 12
+  state 12: #1
+  state 13: #0 #1
+	<var> state 14
+  state 14: #0 #1
+	<var> state 15
+  state 15: #0 #1
+}
+{
+  rule #0: show x::double = sprintf double_format x
+  rule #1: show (x+:y) = show x+"+:"+show y
+  rule #2: show (x<:y) = show x+"<:"+show y
+  rule #3: show x = str x
+  state 0: #0 #1 #2 #3
+	<var> state 1
+	<var>::double state 2
+	<app> state 3
+  state 1: #3
+  state 2: #0 #3
+  state 3: #1 #2 #3
+	<var> state 4
+	<app> state 6
+  state 4: #3
+	<var> state 5
+  state 5: #3
+  state 6: #1 #2 #3
+	<var> state 7
+	+: state 10
+	<: state 13
+  state 7: #3
+	<var> state 8
+  state 8: #3
+	<var> state 9
+  state 9: #3
+  state 10: #1 #3
+	<var> state 11
+  state 11: #1 #3
+	<var> state 12
+  state 12: #1 #3
+  state 13: #2 #3
+	<var> state 14
+  state 14: #2 #3
+	<var> state 15
+  state 15: #2 #3
+}
+*** EXACT/INEXACT ***
+(+),2,2+:3,4+:3
+(+),2,2<:3,0.0200+:0.282
+(+),2,2L%3L,8L%3L
+(-),2,2+:3,0+:-3
+(-),2,2<:3,3.98+:-0.282
+(-),2,2L%3L,4L%3L
+(*),2,2+:3,4+:6
+(*),2,2<:3,4<:3
+(*),2,2L%3L,4L%3L
+(%),2,2+:3,4L%13L+:(-6L)%13L
+(%),2,2<:3,1L%1L<:-3
+(%),2,2L%3L,3L%1L
+(/),2,2+:3,0.308+:-0.462
+(/),2,2<:3,1.00<:-3
+(/),2,2L%3L,3.00
+(^),2,2+:3,-1.95+:3.49
+(^),2,2<:3,0.253<:0.196
+(^),2,2L%3L,1.59
+(+),2+:3,2,4+:3
+(+),2<:3,2,0.0200+:0.282
+(+),2L%3L,2,8L%3L
+(-),2+:3,2,0+:3
+(-),2<:3,2,-3.98+:0.282
+(-),2L%3L,2,(-4L)%3L
+(*),2+:3,2,4+:6
+(*),2<:3,2,4<:3
+(*),2L%3L,2,4L%3L
+(%),2+:3,2,1L%1L+:3L%2L
+(%),2<:3,2,1L%1L<:3
+(%),2L%3L,2,1L%3L
+(/),2+:3,2,1.00+:1.50
+(/),2<:3,2,1.00<:3
+(/),2L%3L,2,0.333
+(^),2+:3,2,-5.00+:12.0
+(^),2<:3,2,4.00<:-0.283
+(^),2L%3L,2,0.444
+*** SYMBOLIC ***
+(+),x,2+:3,__failed__
+(+),x,2<:3,__failed__
+(+),x,2L%3L,__failed__
+(-),x,2+:3,__failed__
+(-),x,2<:3,__failed__
+(-),x,2L%3L,__failed__
+(*),x,2+:3,__failed__
+(*),x,2<:3,__failed__
+(*),x,2L%3L,__failed__
+(%),x,2+:3,__failed__
+(%),x,2<:3,__failed__
+(%),x,2L%3L,__failed__
+(/),x,2+:3,__failed__
+(/),x,2<:3,__failed__
+(/),x,2L%3L,__failed__
+(^),x,2+:3,__failed__
+(^),x,2<:3,__failed__
+(^),x,2L%3L,__failed__
+(+),2+:3,x,__failed__
+(+),2<:3,x,__failed__
+(+),2L%3L,x,__failed__
+(-),2+:3,x,__failed__
+(-),2<:3,x,__failed__
+(-),2L%3L,x,__failed__
+(*),2+:3,x,__failed__
+(*),2<:3,x,__failed__
+(*),2L%3L,x,__failed__
+(%),2+:3,x,__failed__
+(%),2<:3,x,__failed__
+(%),2L%3L,x,__failed__
+(/),2+:3,x,__failed__
+(/),2<:3,x,__failed__
+(/),2L%3L,x,__failed__
+(^),2+:3,x,__failed__
+(^),2<:3,x,__failed__
+(^),2L%3L,x,__failed__
+puts "*** EXACT/INEXACT ***"$$do test (catmap (\op/*0:*/ -> catmap (\a/*0:*/ -> [(op/*1:*/,2,a/*0:*/)] {
+  rule #0: a = [(op,2,a)]
+  state 0: #0
+	<var> state 1
+  state 1: #0
+}) [2+:3,2<:3,2%3] {
+  rule #0: op = catmap (\a -> [(op,2,a)]) [2+:3,2<:3,2%3]
+  state 0: #0
+	<var> state 1
+  state 1: #0
+}) [(+),(-),(*),(%),(/),(^)])$$do test (catmap (\op/*0:*/ -> catmap (\a/*0:*/ -> [(op/*1:*/,a/*0:*/,2)] {
+  rule #0: a = [(op,a,2)]
+  state 0: #0
+	<var> state 1
+  state 1: #0
+}) [2+:3,2<:3,2%3] {
+  rule #0: op = catmap (\a -> [(op,a,2)]) [2+:3,2<:3,2%3]
+  state 0: #0
+	<var> state 1
+  state 1: #0
+}) [(+),(-),(*),(%),(/),(^)])$$puts "*** SYMBOLIC ***"$$do test (catmap (\op/*0:*/ -> catmap (\a/*0:*/ -> [(op/*1:*/,x,a/*0:*/)] {
+  rule #0: a = [(op,x,a)]
+  state 0: #0
+	<var> state 1
+  state 1: #0
+}) [2+:3,2<:3,2%3] {
+  rule #0: op = catmap (\a -> [(op,x,a)]) [2+:3,2<:3,2%3]
+  state 0: #0
+	<var> state 1
+  state 1: #0
+}) [(+),(-),(*),(%),(/),(^)])$$do test (catmap (\op/*0:*/ -> catmap (\a/*0:*/ -> [(op/*1:*/,a/*0:*/,x)] {
+  rule #0: a = [(op,a,x)]
+  state 0: #0
+	<var> state 1
+  state 1: #0
+}) [2+:3,2<:3,2%3] {
+  rule #0: op = catmap (\a -> [(op,a,x)]) [2+:3,2<:3,2%3]
+  state 0: #0
+	<var> state 1
+  state 1: #0
+}) [(+),(-),(*),(%),(/),(^)]);
+()

Added: pure/trunk/test/test021.pure
===================================================================
--- pure/trunk/test/test021.pure	                        (rev 0)
+++ pure/trunk/test/test021.pure	2008-08-23 22:10:16 UTC (rev 587)
@@ -0,0 +1,37 @@
+// math.pure tests for exact/inexact and symbolic results
+
+using math, system;
+
+/* This will print out each operation, arguments and result as a single
+   line. Exceptions are flagged with '__error__', evaluation failures with
+   '__failed__'. Floating point values are rounded in the output to 3
+   significant digits by default, to prevent 'make check' from failing due to
+   rounding discrepancies. */
+
+let double_format = "%#0.3g"; // modify as needed, to get more accuracy
+
+test (f,x,y) = puts $ format (f,x,y,check (f,x,y) (catch __error__ (f x y)));
+test (f,x) = puts $ format (f,x,check (f,x) (catch __error__ (f x)));
+
+check _ z = z if numberp z;
+check (f,_) (g@_ _ _) |
+check (f,_) (g@_ _) = __failed__ if f===g;
+check _ z = z otherwise;
+
+format (f,x,y,z) = str f+","+show x+","+show y+","+show z;
+format (f,x,z) = str f+","+show x+","+show z;
+
+show x::double = sprintf double_format x;
+show (x+:y) = show x+"+:"+show y;
+show (x<:y) = show x+"<:"+show y;
+show x = str x otherwise;
+
+puts "*** EXACT/INEXACT ***" $$
+// These should all return exact results, except +/- with polar operands, as
+// well as / and ^ which always return inexact results.
+do test [op,2,a;op=[(+),(-),(*),(%),(/),(^)];a=[2+:3,2<:3,2%3]] $$
+do test [op,a,2;op=[(+),(-),(*),(%),(/),(^)];a=[2+:3,2<:3,2%3]] $$
+puts "*** SYMBOLIC ***" $$
+// If everything is all right here, these should all print __failed__.
+do test [op,x,a;op=[(+),(-),(*),(%),(/),(^)];a=[2+:3,2<:3,2%3]] $$
+do test [op,a,x;op=[(+),(-),(*),(%),(/),(^)];a=[2+:3,2<:3,2%3]];


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[pure-lang-svn] SF.net SVN: pure-lang:[586] pure/trunk/test

From: <ag...@us...> - 2008-08-23 22:06:11

Revision: 586
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=586&view=rev
Author:   agraef
Date:     2008-08-23 22:06:21 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Cosmetic changes.

Modified Paths:
--------------
    pure/trunk/test/test020.log
    pure/trunk/test/test020.pure

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 21:46:12 UTC (rev 585)
+++ pure/trunk/test/test020.log	2008-08-23 22:06:21 UTC (rev 586)
@@ -37,11 +37,12 @@
   state 1: #0
 }) x;
 let double_format = "%#0.3g";
-test f/*0:01*/ (x/*0:101*/,y/*0:11*/) = puts$format (f/*0:01*/,x/*0:101*/,y/*0:11*/,check f/*0:01*/ (x/*0:101*/,y/*0:11*/) (catch __error__ (f/*1:01*/ x/*1:101*/ y/*1:11*/)));
-test f/*0:01*/ x/*0:1*/ = puts$format (f/*0:01*/,x/*0:1*/,check f/*0:01*/ x/*0:1*/ (catch __error__ (f/*1:01*/ x/*1:1*/)));
-check f/*0:001*/ _/*0:01*/ (g@_/*0:100*/ _/*0:101*/ _/*0:11*/) = __failed__ if f/*0:001*/===g/*0:100*/;
-check f/*0:001*/ _/*0:01*/ (g@_/*0:10*/ _/*0:11*/) = __failed__ if f/*0:001*/===g/*0:10*/;
-check _/*0:001*/ _/*0:01*/ z/*0:1*/ = z/*0:1*/;
+test (f/*0:101*/,x/*0:1101*/,y/*0:111*/) = puts$format (f/*0:101*/,x/*0:1101*/,y/*0:111*/,check (f/*0:101*/,x/*0:1101*/,y/*0:111*/) (catch __error__ (f/*1:101*/ x/*1:1101*/ y/*1:111*/)));
+test (f/*0:101*/,x/*0:11*/) = puts$format (f/*0:101*/,x/*0:11*/,check (f/*0:101*/,x/*0:11*/) (catch __error__ (f/*1:101*/ x/*1:11*/)));
+check _/*0:01*/ z/*0:1*/ = z/*0:1*/ if numberp z/*0:1*/;
+check (f/*0:0101*/,_/*0:011*/) (g@_/*0:100*/ _/*0:101*/ _/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:100*/;
+check (f/*0:0101*/,_/*0:011*/) (g@_/*0:10*/ _/*0:11*/) = __failed__ if f/*0:0101*/===g/*0:10*/;
+check _/*0:01*/ z/*0:1*/ = z/*0:1*/;
 format (f/*0:101*/,x/*0:1101*/,y/*0:11101*/,z/*0:1111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show y/*0:11101*/+","+show z/*0:1111*/;
 format (f/*0:101*/,x/*0:1101*/,z/*0:111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show z/*0:111*/;
 show x/*0:1*/::double = sprintf double_format x/*0:1*/;
@@ -49,30 +50,55 @@
 show (x/*0:101*/<:y/*0:11*/) = show x/*0:101*/+"<:"+show y/*0:11*/;
 show x/*0:1*/ = str x/*0:1*/;
 {
-  rule #0: check f _ (g@_ _ _) = __failed__ if f===g
-  rule #1: check f _ (g@_ _) = __failed__ if f===g
-  rule #2: check _ _ z = z
-  state 0: #0 #1 #2
+  rule #0: check _ z = z if numberp z
+  rule #1: check (f,_) (g@_ _ _) = __failed__ if f===g
+  rule #2: check (f,_) (g@_ _) = __failed__ if f===g
+  rule #3: check _ z = z
+  state 0: #0 #1 #2 #3
 	<var> state 1
-  state 1: #0 #1 #2
+	<app> state 3
+  state 1: #0 #3
 	<var> state 2
-  state 2: #0 #1 #2
-	<var> state 3
-	<app> state 4
-  state 3: #2
-  state 4: #0 #1 #2
+  state 2: #0 #3
+  state 3: #0 #1 #2 #3
+	<var> state 4
+	<app> state 7
+  state 4: #0 #3
 	<var> state 5
-	<app> state 7
-  state 5: #1 #2
+  state 5: #0 #3
 	<var> state 6
-  state 6: #1 #2
-  state 7: #0 #1 #2
+  state 6: #0 #3
+  state 7: #0 #1 #2 #3
 	<var> state 8
-  state 8: #0 #1 #2
+	, state 12
+  state 8: #0 #3
 	<var> state 9
-  state 9: #0 #1 #2
+  state 9: #0 #3
 	<var> state 10
-  state 10: #0 #1 #2
+  state 10: #0 #3
+	<var> state 11
+  state 11: #0 #3
+  state 12: #0 #1 #2 #3
+	<var> state 13
+  state 13: #0 #1 #2 #3
+	<var> state 14
+  state 14: #0 #1 #2 #3
+	<var> state 15
+	<app> state 16
+  state 15: #0 #3
+  state 16: #0 #1 #2 #3
+	<var> state 17
+	<app> state 19
+  state 17: #0 #2 #3
+	<var> state 18
+  state 18: #0 #2 #3
+  state 19: #0 #1 #2 #3
+	<var> state 20
+  state 20: #0 #1 #2 #3
+	<var> state 21
+  state 21: #0 #1 #2 #3
+	<var> state 22
+  state 22: #0 #1 #2 #3
 }
 {
   rule #0: format (f,x,y,z) = str f+","+show x+","+show y+","+show z
@@ -118,33 +144,39 @@
   state 19: #0 #1
 }
 {
-  rule #0: test f (x,y) = puts$format (f,x,y,check f (x,y) (catch __error__ (f x y)))
-  rule #1: test f x = puts$format (f,x,check f x (catch __error__ (f x)))
+  rule #0: test (f,x,y) = puts$format (f,x,y,check (f,x,y) (catch __error__ (f x y)))
+  rule #1: test (f,x) = puts$format (f,x,check (f,x) (catch __error__ (f x)))
   state 0: #0 #1
-	<var> state 1
+	<app> state 1
   state 1: #0 #1
-	<var> state 2
-	<app> state 3
-  state 2: #1
+	<app> state 2
+  state 2: #0 #1
+	, state 3
   state 3: #0 #1
 	<var> state 4
+  state 4: #0 #1
+	<var> state 5
 	<app> state 6
-  state 4: #1
-	<var> state 5
   state 5: #1
   state 6: #0 #1
 	<var> state 7
-	, state 10
+	<app> state 9
   state 7: #1
 	<var> state 8
   state 8: #1
-	<var> state 9
-  state 9: #1
-  state 10: #0 #1
+  state 9: #0 #1
+	<var> state 10
+	, state 13
+  state 10: #1
 	<var> state 11
-  state 11: #0 #1
+  state 11: #1
 	<var> state 12
-  state 12: #0 #1
+  state 12: #1
+  state 13: #0 #1
+	<var> state 14
+  state 14: #0 #1
+	<var> state 15
+  state 15: #0 #1
 }
 {
   rule #0: show x::double = sprintf double_format x
@@ -4716,23 +4748,23 @@
 pow,nan,1L%2L<:3L%4L,__failed__
 pow,nan,-inf,__failed__
 pow,nan,nan,__failed__
-puts "*** UNARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [test f/*1:*/ x/*0:*/] {
-  rule #0: x = [test f x]
+puts "*** UNARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [test (f/*1:*/,x/*0:*/)] {
+  rule #0: x = [test (f,x)]
   state 0: #0
 	<var> state 1
   state 1: #0
 }) x {
-  rule #0: f = catmap (\x -> [test f x]) x
+  rule #0: f = catmap (\x -> [test (f,x)]) x
   state 0: #0
 	<var> state 1
   state 1: #0
-}) f)$$puts "*** BINARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [test f/*1:*/ x/*0:*/] {
-  rule #0: x = [test f x]
+}) f)$$puts "*** BINARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [test (f/*1:*/,x/*0:*/)] {
+  rule #0: x = [test (f,x)]
   state 0: #0
 	<var> state 1
   state 1: #0
 }) x2 {
-  rule #0: f = catmap (\x -> [test f x]) x2
+  rule #0: f = catmap (\x -> [test (f,x)]) x2
   state 0: #0
 	<var> state 1
   state 1: #0

Modified: pure/trunk/test/test020.pure
===================================================================
--- pure/trunk/test/test020.pure	2008-08-23 21:46:12 UTC (rev 585)
+++ pure/trunk/test/test020.pure	2008-08-23 22:06:21 UTC (rev 586)
@@ -29,11 +29,13 @@
 
 let double_format = "%#0.3g"; // modify as needed, to get more accuracy
 
-test f (x,y) = puts $ format (f,x,y,check f (x,y) (catch __error__ (f x y)));
-test f x = puts $ format (f,x,check f x (catch __error__ (f x)));
+test (f,x,y) = puts $ format (f,x,y,check (f,x,y) (catch __error__ (f x y)));
+test (f,x) = puts $ format (f,x,check (f,x) (catch __error__ (f x)));
 
-check f _ (g@_ _ _) | check f _ (g@_ _) = __failed__ if f===g;
-check _ _ z = z otherwise;
+check _ z = z if numberp z;
+check (f,_) (g@_ _ _) |
+check (f,_) (g@_ _) = __failed__ if f===g;
+check _ z = z otherwise;
 
 format (f,x,y,z) = str f+","+show x+","+show y+","+show z;
 format (f,x,z) = str f+","+show x+","+show z;
@@ -43,5 +45,5 @@
 show (x<:y) = show x+"<:"+show y;
 show x = str x otherwise;
 
-puts "*** UNARY ***" $$ void [test f x; f=f; x=x] $$
-puts "*** BINARY ***" $$ void [test f x; f=f2; x=x2];
+puts "*** UNARY ***" $$ void [test (f,x); f=f; x=x] $$
+puts "*** BINARY ***" $$ void [test (f,x); f=f2; x=x2];


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[pure-lang-svn] SF.net SVN: pure-lang:[585] pure/trunk/lib/math.pure

From: <ag...@us...> - 2008-08-23 21:46:02

Revision: 585
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=585&view=rev
Author:   agraef
Date:     2008-08-23 21:46:12 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Add type guards to complex operations.

Modified Paths:
--------------
    pure/trunk/lib/math.pure

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-23 20:58:35 UTC (rev 584)
+++ pure/trunk/lib/math.pure	2008-08-23 21:46:12 UTC (rev 585)
@@ -271,32 +271,32 @@
 /* Mixed complex/real and real/complex forms yield a rect or polar result,
    depending on what the complex input was. */
 
-(x1+:y1)+x2	= x1+x2 +: y1;
-x1+(x2+:y2)	= x1+x2 +: y2;
-z1@(r1<:t1)+x2	= rect z1 + x2;
-x1+z2@(r2<:t2)	= x1 + rect z2;
+(x1+:y1)+x2	= x1+x2 +: y1 if realp x2;
+x1+(x2+:y2)	= x1+x2 +: y2 if realp x1;
+z1@(r1<:t1)+x2	= rect z1 + x2 if realp x2;
+x1+z2@(r2<:t2)	= x1 + rect z2 if realp x1;
 
-(x1+:y1)-x2	= x1-x2 +: y1;
-x1-(x2+:y2)	= x1-x2 +: -y2;
-z1@(r1<:t1)-x2	= rect z1 - x2;
-x1-z2@(r2<:t2)	= x1 - rect z2;
+(x1+:y1)-x2	= x1-x2 +: y1 if realp x2;
+x1-(x2+:y2)	= x1-x2 +: -y2 if realp x1;
+z1@(r1<:t1)-x2	= rect z1 - x2 if realp x2;
+x1-z2@(r2<:t2)	= x1 - rect z2 if realp x1;
 
-(x1+:y1)*x2	= x1*x2 +: y1*x2;
-x1*(x2+:y2)	= x1*x2 +: x1*y2;
-(r1<:t1)*x2	= r1*x2 <: t1;
-x1*(r2<:t2)	= x1*r2 <: t2;
+(x1+:y1)*x2	= x1*x2 +: y1*x2 if realp x2;
+x1*(x2+:y2)	= x1*x2 +: x1*y2 if realp x1;
+(r1<:t1)*x2	= r1*x2 <: t1 if realp x2;
+x1*(r2<:t2)	= x1*r2 <: t2 if realp x1;
 
-(x1+:y1)/x2	= x1/x2 +: y1/x2;
-x1/z2@(x2+:y2)	= (x1*x2 +: -x1*y2) / (x2*x2+y2*y2);
-(r1<:t1)/x2	= r1/x2 <: t1;
-x1/(r2<:t2)	= x1/r2 <: -t2;
+(x1+:y1)/x2	= x1/x2 +: y1/x2 if realp x2;
+x1/z2@(x2+:y2)	= (x1*x2 +: -x1*y2) / (x2*x2+y2*y2) if realp x1;
+(r1<:t1)/x2	= r1/x2 <: t1 if realp x2;
+x1/(r2<:t2)	= x1/r2 <: -t2 if realp x1;
 
 /* Complex powers. */
 
 z1@(_+:_)^x2	|
-z1@(_<:_)^x2	= exp (ln z1*x2);
-x1^z2@(_+:_)	= exp (ln (rect x1)*z2);
-x1^z2@(_<:_)	= exp (ln (polar x1)*z2);
+z1@(_<:_)^x2	= exp (ln z1*x2) if numberp x2;
+x1^z2@(_+:_)	= exp (ln (rect x1)*z2) if realp x1;
+x1^z2@(_<:_)	= exp (ln (polar x1)*z2) if realp x1;
 
 /* Equality. */
 
@@ -312,15 +312,15 @@
 z1@(_+:_)!=z2@(_<:_)	= z1 != rect z2;
 z1@(_<:_)!=z2@(_+:_)	= rect z1 != z2;
 
-(x1+:y1)==x2	= x1==x2 && y1==0;
-x1==(x2+:y2)	= x1==x2 && y2==0;
-z1@(r1<:t1)==x2	= z1 == (x2<:0);
-x1==z2@(r2<:t2)	= (x1<:0) == z2;
+(x1+:y1)==x2		= x1==x2 && y1==0 if realp x2;
+x1==(x2+:y2)		= x1==x2 && y2==0 if realp x1;
+z1@(r1<:t1)==x2		= z1 == (x2<:0) if realp x2;
+x1==z2@(r2<:t2)		= (x1<:0) == z2 if realp x1;
 
-(x1+:y1)!=x2	= x1!=x2 || y1!=0;
-x1!=(x2+:y2)	= x1!=x2 || y2!=0;
-z1@(r1<:t1)!=x2	= z1 != (x2<:0);
-x1!=z2@(r2<:t2)	= (x1<:0) != z2;
+(x1+:y1)!=x2		= x1!=x2 || y1!=0 if realp x2;
+x1!=(x2+:y2)		= x1!=x2 || y2!=0 if realp x1;
+z1@(r1<:t1)!=x2		= z1 != (x2<:0) if realp x2;
+x1!=z2@(r2<:t2)		= (x1<:0) != z2 if realp x1;
 
 /* Rational numbers. These are constructed with the exact division operator
    '%' which has the same precedence and fixity as the other division


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[pure-lang-svn] SF.net SVN: pure-lang:[584] pure/trunk/test

From: <ag...@us...> - 2008-08-23 20:58:25

Revision: 584
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=584&view=rev
Author:   agraef
Date:     2008-08-23 20:58:35 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Cosmetic changes.

Modified Paths:
--------------
    pure/trunk/test/test020.log
    pure/trunk/test/test020.pure

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 20:50:22 UTC (rev 583)
+++ pure/trunk/test/test020.log	2008-08-23 20:58:35 UTC (rev 584)
@@ -4716,23 +4716,23 @@
 pow,nan,1L%2L<:3L%4L,__failed__
 pow,nan,-inf,__failed__
 pow,nan,nan,__failed__
-puts "*** UNARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [(f/*1:*/,x/*0:*/,test f/*1:*/ x/*0:*/)] {
-  rule #0: x = [(f,x,test f x)]
+puts "*** UNARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [test f/*1:*/ x/*0:*/] {
+  rule #0: x = [test f x]
   state 0: #0
 	<var> state 1
   state 1: #0
 }) x {
-  rule #0: f = catmap (\x -> [(f,x,test f x)]) x
+  rule #0: f = catmap (\x -> [test f x]) x
   state 0: #0
 	<var> state 1
   state 1: #0
-}) f)$$puts "*** BINARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [(f/*1:*/,x/*0:*/,test f/*1:*/ x/*0:*/)] {
-  rule #0: x = [(f,x,test f x)]
+}) f)$$puts "*** BINARY ***"$$void (catmap (\f/*0:*/ -> catmap (\x/*0:*/ -> [test f/*1:*/ x/*0:*/] {
+  rule #0: x = [test f x]
   state 0: #0
 	<var> state 1
   state 1: #0
 }) x2 {
-  rule #0: f = catmap (\x -> [(f,x,test f x)]) x2
+  rule #0: f = catmap (\x -> [test f x]) x2
   state 0: #0
 	<var> state 1
   state 1: #0

Modified: pure/trunk/test/test020.pure
===================================================================
--- pure/trunk/test/test020.pure	2008-08-23 20:50:22 UTC (rev 583)
+++ pure/trunk/test/test020.pure	2008-08-23 20:58:35 UTC (rev 584)
@@ -43,5 +43,5 @@
 show (x<:y) = show x+"<:"+show y;
 show x = str x otherwise;
 
-puts "*** UNARY ***" $$ void [f,x,test f x; f=f; x=x] $$
-puts "*** BINARY ***" $$ void [f,x,test f x; f=f2; x=x2];
+puts "*** UNARY ***" $$ void [test f x; f=f; x=x] $$
+puts "*** BINARY ***" $$ void [test f x; f=f2; x=x2];


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[pure-lang-svn] SF.net SVN: pure-lang:[583] pure/trunk/lib/math.pure

From: <ag...@us...> - 2008-08-23 20:50:12

Revision: 583
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=583&view=rev
Author:   agraef
Date:     2008-08-23 20:50:22 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Add type guards to rational operations.

Modified Paths:
--------------
    pure/trunk/lib/math.pure

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-23 12:56:48 UTC (rev 582)
+++ pure/trunk/lib/math.pure	2008-08-23 20:50:22 UTC (rev 583)
@@ -349,8 +349,10 @@
 
 // rational operands
 (x1%y1)%(x2%y2)		= (x1*y2)%(y1*x2);
-(x1%y1)%x2		= x1%(y1*x2);
-x1%(x2%y2)		= (x1*y2)%x2;
+(x1%y1)%x2::int		|
+(x1%y1)%x2::bigint	= x1%(y1*x2);
+x1::int%(x2%y2)		|
+x1::bigint%(x2%y2)	= (x1*y2)%x2;
 
 // complex operands (these must both use the same representation, otherwise
 // the result won't be exact)
@@ -358,15 +360,19 @@
 z1@(_<:_)%z2@(_+:_)	= z1/z2;
 (x1+:y1)%(x2+:y2)	= (x1*x2+y1*y2)%d +: (y1*x2-x1*y2)%d
 			    when d = x2*x2+y2*y2 end;
-(x1+:y1)%x2		= (x1*x2)%d +: (y1*x2)%d when d = x2*x2 end;
-x1%(x2+:y2)		= (x1*x2)%d +: (-x1*y2)%d when d = x2*x2+y2*y2 end;
 (r1<:t1)%(r2<:t2)	= r1%r2 <: t1-t2;
-(r1<:t1)%x2		= r1%x2 <: t1;
-x1%(r2<:t2)		= x1%r2 <: -t2;
 
+// mixed complex/real cases
+(x1+:y1)%x2		= (x1*x2)%d +: (y1*x2)%d
+			    when d = x2*x2 end if realp x2;
+x1%(x2+:y2)		= (x1*x2)%d +: (-x1*y2)%d
+			    when d = x2*x2+y2*y2 end if realp x1;
+(r1<:t1)%x2		= r1%x2 <: t1 if realp x2;
+x1%(r2<:t2)		= x1%r2 <: -t2 if realp x1;
+
 // fall back to ordinary inexact division in all other cases
-x::double%y		|
-x%y::double		= x/y;
+x::double%y		= x/y if numberp y;
+x%y::double		= x/y if numberp x;
 
 /* Conversions. */
 
@@ -484,24 +490,37 @@
 (x1%y1)-(x2%y2)	= (x1*y2-x2*y1) % (y1*y2);
 (x1%y1)*(x2%y2)	= (x1*x2) % (y1*y2);
 
-(x1%y1)+x2	= (x1+x2*y1) % y1;
-(x1%y1)-x2	= (x1-x2*y1) % y1;
-(x1%y1)*x2	= (x1*x2) % y1;
+(x1%y1)+x2::int		|
+(x1%y1)+x2::bigint	= (x1+x2*y1) % y1;
+(x1%y1)-x2::int		|
+(x1%y1)-x2::bigint	= (x1-x2*y1) % y1;
+(x1%y1)*x2::int		|
+(x1%y1)*x2::bigint	= (x1*x2) % y1;
 
-x1+(x2%y2)	= (x1*y2+x2) % y2;
-x1-(x2%y2)	= (x1*y2-x2) % y2;
-x1*(x2%y2)	= (x1*x2) % y2;
+x1::int+(x2%y2)		|
+x1::bigint+(x2%y2)	= (x1*y2+x2) % y2;
+x1::int-(x2%y2)		|
+x1::bigint-(x2%y2)	= (x1*y2-x2) % y2;
+x1::int*(x2%y2)		|
+x1::bigint*(x2%y2)	= (x1*x2) % y2;
 
-/* / and ^ yield inexact results. */
+/* Fallback rules. */
 
-(x1%y1)/(x2%y2)	= (x1*y2) / (y1*x2);
+// / and ^ always yield inexact results.
+(x1%y1)/(x2%y2)	= (x1/y1) / (x2/y2);
 (x1%y1)^(x2%y2)	= (x1/y1) ^ (x2/y2);
 
-(x1%y1)/x2	= x1 / (y1*x2);
-(x1%y1)^x2	= (x1/y1) ^ x2;
+(x1%y1)+x2	= (x1/y1)+x2 if numberp x2;
+(x1%y1)-x2	= (x1/y1)-x2 if numberp x2;
+(x1%y1)*x2	= (x1/y1)*x2 if numberp x2;
+(x1%y1)/x2	= (x1/y1)/x2 if numberp x2;
+(x1%y1)^x2	= (x1/y1)^x2 if numberp x2;
 
-x1/(x2%y2)	= (x1*y2) / x2;
-x1^(x2%y2)	= x1 ^ (x2/y2);
+x1+(x2%y2)	= x1+(x2/y2) if numberp x1;
+x1-(x2%y2)	= x1-(x2/y2) if numberp x1;
+x1*(x2%y2)	= x1*(x2/y2) if numberp x1;
+x1/(x2%y2)	= x1/(x2/y2) if numberp x1;
+x1^(x2%y2)	= x1^(x2/y2) if numberp x1;
 
 /* Comparisons. */
 
@@ -512,19 +531,19 @@
 x1%y1 >  x2%y2	= x1*y2 >  x2*y1;
 x1%y1 >= x2%y2	= x1*y2 >= x2*y1;
 
-x1%y1 == x2	= x1 == x2*y1;
-x1%y1 != x2	= x1 != x2*y1;
-x1%y1 <  x2	= x1 <  x2*y1;
-x1%y1 <= x2	= x1 <= x2*y1;
-x1%y1 >  x2	= x1 >  x2*y1;
-x1%y1 >= x2	= x1 >= x2*y1;
+x1%y1 == x2	= x1 == x2*y1 if numberp x2;
+x1%y1 != x2	= x1 != x2*y1 if numberp x2;
+x1%y1 <  x2	= x1 <  x2*y1 if realp x2;
+x1%y1 <= x2	= x1 <= x2*y1 if realp x2;
+x1%y1 >  x2	= x1 >  x2*y1 if realp x2;
+x1%y1 >= x2	= x1 >= x2*y1 if realp x2;
 
-x1 == x2%y2	= x1*y2 == x2;
-x1 != x2%y2	= x1*y2 != x2;
-x1 <  x2%y2	= x1*y2 <  x2;
-x1 <= x2%y2	= x1*y2 <= x2;
-x1 >  x2%y2	= x1*y2 >  x2;
-x1 >= x2%y2	= x1*y2 >= x2;
+x1 == x2%y2	= x1*y2 == x2 if numberp x2;
+x1 != x2%y2	= x1*y2 != x2 if numberp x2;
+x1 <  x2%y2	= x1*y2 <  x2 if realp x2;
+x1 <= x2%y2	= x1*y2 <= x2 if realp x2;
+x1 >  x2%y2	= x1*y2 >  x2 if realp x2;
+x1 >= x2%y2	= x1*y2 >= x2 if realp x2;
 
 /* Additional number predicates. */
 


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[pure-lang-svn] SF.net SVN: pure-lang:[582] pure/trunk/test

From: <ag...@us...> - 2008-08-23 12:56:38

Revision: 582
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=582&view=rev
Author:   agraef
Date:     2008-08-23 12:56:48 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Define double format as a variable, so that it can be changed more easily.

Modified Paths:
--------------
    pure/trunk/test/test020.log
    pure/trunk/test/test020.pure

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 12:49:38 UTC (rev 581)
+++ pure/trunk/test/test020.log	2008-08-23 12:56:48 UTC (rev 582)
@@ -36,6 +36,7 @@
 	<var> state 1
   state 1: #0
 }) x;
+let double_format = "%#0.3g";
 test f/*0:01*/ (x/*0:101*/,y/*0:11*/) = puts$format (f/*0:01*/,x/*0:101*/,y/*0:11*/,check f/*0:01*/ (x/*0:101*/,y/*0:11*/) (catch __error__ (f/*1:01*/ x/*1:101*/ y/*1:11*/)));
 test f/*0:01*/ x/*0:1*/ = puts$format (f/*0:01*/,x/*0:1*/,check f/*0:01*/ x/*0:1*/ (catch __error__ (f/*1:01*/ x/*1:1*/)));
 check f/*0:001*/ _/*0:01*/ (g@_/*0:100*/ _/*0:101*/ _/*0:11*/) = __failed__ if f/*0:001*/===g/*0:100*/;
@@ -43,7 +44,7 @@
 check _/*0:001*/ _/*0:01*/ z/*0:1*/ = z/*0:1*/;
 format (f/*0:101*/,x/*0:1101*/,y/*0:11101*/,z/*0:1111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show y/*0:11101*/+","+show z/*0:1111*/;
 format (f/*0:101*/,x/*0:1101*/,z/*0:111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show z/*0:111*/;
-show x/*0:1*/::double = sprintf "%#0.3g" x/*0:1*/;
+show x/*0:1*/::double = sprintf double_format x/*0:1*/;
 show (x/*0:101*/+:y/*0:11*/) = show x/*0:101*/+"+:"+show y/*0:11*/;
 show (x/*0:101*/<:y/*0:11*/) = show x/*0:101*/+"<:"+show y/*0:11*/;
 show x/*0:1*/ = str x/*0:1*/;
@@ -146,7 +147,7 @@
   state 12: #0 #1
 }
 {
-  rule #0: show x::double = sprintf "%#0.3g" x
+  rule #0: show x::double = sprintf double_format x
   rule #1: show (x+:y) = show x+"+:"+show y
   rule #2: show (x<:y) = show x+"<:"+show y
   rule #3: show x = str x

Modified: pure/trunk/test/test020.pure
===================================================================
--- pure/trunk/test/test020.pure	2008-08-23 12:49:38 UTC (rev 581)
+++ pure/trunk/test/test020.pure	2008-08-23 12:56:48 UTC (rev 582)
@@ -24,9 +24,11 @@
 /* This will print out each operation, arguments and result as a single
    line. Exceptions are flagged with '__error__', evaluation failures with
    '__failed__'. Floating point values are rounded in the output to 3
-   significant digits, to prevent 'make check' from failing due to small
+   significant digits by default, to prevent 'make check' from failing due to
    rounding discrepancies. */
 
+let double_format = "%#0.3g"; // modify as needed, to get more accuracy
+
 test f (x,y) = puts $ format (f,x,y,check f (x,y) (catch __error__ (f x y)));
 test f x = puts $ format (f,x,check f x (catch __error__ (f x)));
 
@@ -36,7 +38,7 @@
 format (f,x,y,z) = str f+","+show x+","+show y+","+show z;
 format (f,x,z) = str f+","+show x+","+show z;
 
-show x::double = sprintf "%#0.3g" x;
+show x::double = sprintf double_format x;
 show (x+:y) = show x+"+:"+show y;
 show (x<:y) = show x+"<:"+show y;
 show x = str x otherwise;


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[pure-lang-svn] SF.net SVN: pure-lang:[581] pure/trunk

From: <ag...@us...> - 2008-08-23 12:49:28

Revision: 581
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=581&view=rev
Author:   agraef
Date:     2008-08-23 12:49:38 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Better definition for complex acosh.

Modified Paths:
--------------
    pure/trunk/lib/math.pure
    pure/trunk/test/test020.log

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-23 11:43:17 UTC (rev 580)
+++ pure/trunk/lib/math.pure	2008-08-23 12:49:38 UTC (rev 581)
@@ -230,8 +230,8 @@
 asinh z@(x+:y)	|
 asinh z@(r<:t)	= ln (z+sqrt (z*z+1));
 acosh z@(x+:y)	|
-acosh z@(r<:t)	= ln (z+sqrt (z*z-1));
-// Alternative definition (Kahan).
+acosh z@(r<:t)	= ln (z+sqrt (z-1)*sqrt (z+1));
+// Alternative definition by Kahan. Any reason to prefer that one?
 // acosh z@(x+:y)	|
 // acosh z@(r<:t)	= 2*ln (sqrt ((z+1)/2)+sqrt ((z-1)/2));
 atanh z@(x+:y)	|

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 11:43:17 UTC (rev 580)
+++ pure/trunk/test/test020.log	2008-08-23 12:49:38 UTC (rev 581)
@@ -514,17 +514,17 @@
 acosh,1L%3L,nan
 acosh,(-1L)%4L,nan
 acosh,1+:2,1.53+:1.14
-acosh,-1+:2,-1.53+:-2.00
+acosh,-1+:2,1.53+:2.00
 acosh,1+:-2,1.53+:-1.14
-acosh,-1.20+:4.30,-2.20+:-1.84
+acosh,-1.20+:4.30,2.20+:1.84
 acosh,1.20+:-4.30,2.20+:-1.30
 acosh,1L%2L+:1,0.926+:1.22
 acosh,1L%2L+:3L%4L,0.743+:1.17
 acosh,3<:1,1.80+:1.02
-acosh,3<:-2.14,-1.80+:2.12
-acosh,3.00<:-3,-1.76+:2.99
-acosh,3.10<:2.50,-1.82+:-2.47
-acosh,2L%3L<:2,-0.589+:-1.81
+acosh,3<:-2.14,1.80+:-2.12
+acosh,3.00<:-3,1.76+:-2.99
+acosh,3.10<:2.50,1.82+:2.47
+acosh,2L%3L<:2,0.589+:1.81
 acosh,1L%2L<:3L%4L,0.355+:1.22
 acosh,-inf,nan
 acosh,nan,nan


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[pure-lang-svn] SF.net SVN: pure-lang:[580] pure/trunk

From: <ag...@us...> - 2008-08-23 11:43:07

Revision: 580
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=580&view=rev
Author:   agraef
Date:     2008-08-23 11:43:17 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Fix result type of (^) operation in real/polar cases.

Modified Paths:
--------------
    pure/trunk/lib/math.pure
    pure/trunk/test/test020.log

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-23 11:18:41 UTC (rev 579)
+++ pure/trunk/lib/math.pure	2008-08-23 11:43:17 UTC (rev 580)
@@ -295,8 +295,8 @@
 
 z1@(_+:_)^x2	|
 z1@(_<:_)^x2	= exp (ln z1*x2);
-x1^z2@(_+:_)	|
-x1^z2@(_<:_)	= exp (ln (complex x1)*z2);
+x1^z2@(_+:_)	= exp (ln (rect x1)*z2);
+x1^z2@(_<:_)	= exp (ln (polar x1)*z2);
 
 /* Equality. */
 

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 11:18:41 UTC (rev 579)
+++ pure/trunk/test/test020.log	2008-08-23 11:43:17 UTC (rev 580)
@@ -3143,12 +3143,12 @@
 (^),1,1.20+:-4.30,1.00+:0.00
 (^),1,1L%2L+:1,1.00+:0.00
 (^),1,1L%2L+:3L%4L,1.00+:0.00
-(^),1,3<:1,1.00+:0.00
-(^),1,3<:-2.14,1.00+:-0.00
-(^),1,3.00<:-3,1.00+:-0.00
-(^),1,3.10<:2.50,1.00+:0.00
-(^),1,2L%3L<:2,1.00+:0.00
-(^),1,1L%2L<:3L%4L,1.00+:0.00
+(^),1,3<:1,1.00<:0.00
+(^),1,3<:-2.14,1.00<:-0.00
+(^),1,3.00<:-3,1.00<:-0.00
+(^),1,3.10<:2.50,1.00<:0.00
+(^),1,2L%3L<:2,1.00<:0.00
+(^),1,1L%2L<:3L%4L,1.00<:0.00
 (^),1,-inf,1.00
 (^),1,nan,1.00
 (^),-1,1,-1.00
@@ -3166,12 +3166,12 @@
 (^),-1,1.20+:-4.30,-5.95e+05+:-4.33e+05
 (^),-1,1L%2L+:1,2.65e-18+:0.0432
 (^),-1,1L%2L+:3L%4L,5.80e-18+:0.0948
-(^),-1,3<:1,0.000133+:-0.000334
-(^),-1,3<:-2.14,1.03e+03+:2.58e+03
-(^),-1,3.00<:-3,-3.76+:-0.356
-(^),-1,3.10<:2.50,0.000152+:-0.00294
-(^),-1,2L%3L<:2,0.0958+:-0.114
-(^),-1,1L%2L<:3L%4L,0.140+:0.313
+(^),-1,3<:1,0.000360<:-1.19
+(^),-1,3<:-2.14,2.78e+03<:1.19
+(^),-1,3.00<:-3,3.78<:-3.05
+(^),-1,3.10<:2.50,0.00294<:-1.52
+(^),-1,2L%3L<:2,0.149<:-0.872
+(^),-1,1L%2L<:3L%4L,0.343<:1.15
 (^),-1,-inf,1.00
 (^),-1,nan,nan
 (^),0,1,0.00
@@ -3189,12 +3189,12 @@
 (^),0,1.20+:-4.30,nan+:nan
 (^),0,1L%2L+:1,nan+:nan
 (^),0,1L%2L+:3L%4L,nan+:nan
-(^),0,3<:1,nan+:nan
-(^),0,3<:-2.14,nan+:nan
-(^),0,3.00<:-3,nan+:nan
-(^),0,3.10<:2.50,nan+:nan
-(^),0,2L%3L<:2,nan+:nan
-(^),0,1L%2L<:3L%4L,nan+:nan
+(^),0,3<:1,0.00<:nan
+(^),0,3<:-2.14,inf<:nan
+(^),0,3.00<:-3,inf<:nan
+(^),0,3.10<:2.50,inf<:nan
+(^),0,2L%3L<:2,inf<:nan
+(^),0,1L%2L<:3L%4L,0.00<:nan
 (^),0,-inf,inf
 (^),0,nan,nan
 (^),0.00,1,0.00
@@ -3212,12 +3212,12 @@
 (^),0.00,1.20+:-4.30,nan+:nan
 (^),0.00,1L%2L+:1,nan+:nan
 (^),0.00,1L%2L+:3L%4L,nan+:nan
-(^),0.00,3<:1,nan+:nan
-(^),0.00,3<:-2.14,nan+:nan
-(^),0.00,3.00<:-3,nan+:nan
-(^),0.00,3.10<:2.50,nan+:nan
-(^),0.00,2L%3L<:2,nan+:nan
-(^),0.00,1L%2L<:3L%4L,nan+:nan
+(^),0.00,3<:1,0.00<:nan
+(^),0.00,3<:-2.14,inf<:nan
+(^),0.00,3.00<:-3,inf<:nan
+(^),0.00,3.10<:2.50,inf<:nan
+(^),0.00,2L%3L<:2,inf<:nan
+(^),0.00,1L%2L<:3L%4L,0.00<:nan
 (^),0.00,-inf,inf
 (^),0.00,nan,nan
 (^),1.20,1,1.20
@@ -3235,12 +3235,12 @@
 (^),1.20,1.20+:-4.30,0.881+:-0.879
 (^),1.20,1L%2L+:1,1.08+:0.199
 (^),1.20,1L%2L+:3L%4L,1.09+:0.149
-(^),1.20,3<:1,1.20+:0.597
-(^),1.20,3<:-2.14,0.667+:-0.331
-(^),1.20,3.00<:-3,0.580+:-0.0449
-(^),1.20,3.10<:2.50,0.600+:0.211
-(^),1.20,2L%3L<:2,0.945+:0.105
-(^),1.20,1L%2L<:3L%4L,1.07+:0.0664
+(^),1.20,3<:1,1.34<:0.460
+(^),1.20,3<:-2.14,0.744<:-0.460
+(^),1.20,3.00<:-3,0.582<:-0.0772
+(^),1.20,3.10<:2.50,0.636<:0.338
+(^),1.20,2L%3L<:2,0.951<:0.111
+(^),1.20,1L%2L<:3L%4L,1.07<:0.0621
 (^),1.20,-inf,0.00
 (^),1.20,nan,nan
 (^),-1.20,1,-1.20
@@ -3258,12 +3258,12 @@
 (^),-1.20,1.20+:-4.30,-9.05e+05+:1.42e+05
 (^),-1.20,1L%2L+:1,-0.00858+:0.0466
 (^),-1.20,1L%2L+:3L%4L,-0.0142+:0.103
-(^),-1.20,3<:1,0.000360+:-0.000322
-(^),-1.20,3<:-2.14,1.54e+03+:1.38e+03
-(^),-1.20,3.00<:-3,-2.20+:-0.0377
-(^),-1.20,3.10<:2.50,0.000711+:-0.00173
-(^),-1.20,2L%3L<:2,0.103+:-0.0976
-(^),-1.20,1L%2L<:3L%4L,0.129+:0.343
+(^),-1.20,3<:1,0.000483<:-0.731
+(^),-1.20,3<:-2.14,2.07e+03<:0.731
+(^),-1.20,3.00<:-3,2.20<:-3.12
+(^),-1.20,3.10<:2.50,0.00187<:-1.18
+(^),-1.20,2L%3L<:2,0.142<:-0.761
+(^),-1.20,1L%2L<:3L%4L,0.366<:1.21
 (^),-1.20,-inf,0.00
 (^),-1.20,nan,nan
 (^),1L%3L,1,0.333
@@ -3281,12 +3281,12 @@
 (^),1L%3L,1.20+:-4.30,0.00312+:-0.268
 (^),1L%3L,1L%2L+:1,0.263+:-0.514
 (^),1L%3L,1L%2L+:3L%4L,0.392+:-0.424
-(^),1L%3L,3<:1,-0.157+:-0.0607
-(^),1L%3L,3<:-2.14,-5.54+:2.14
-(^),1L%3L,3.00<:-3,23.3+:11.7
-(^),1L%3L,3.10<:2.50,-6.90+:-13.7
-(^),1L%3L,2L%3L<:2,1.07+:-0.838
-(^),1L%3L,1L%2L<:3L%4L,0.623+:-0.245
+(^),1L%3L,3<:1,0.169<:-2.77
+(^),1L%3L,3<:-2.14,5.93<:2.77
+(^),1L%3L,3.00<:-3,26.1<:0.465
+(^),1L%3L,3.10<:2.50,15.3<:-2.04
+(^),1L%3L,2L%3L<:2,1.36<:-0.666
+(^),1L%3L,1L%2L<:3L%4L,0.669<:-0.374
 (^),1L%3L,-inf,inf
 (^),1L%3L,nan,nan
 (^),(-1L)%4L,1,-0.250
@@ -3304,12 +3304,12 @@
 (^),(-1L)%4L,1.20+:-4.30,-1.33e+05+:-4.20e+04
 (^),(-1L)%4L,1L%2L+:1,0.0212+:0.00396
 (^),(-1L)%4L,1L%2L+:3L%4L,0.0409+:0.0240
-(^),(-1L)%4L,3<:1,-8.31e-07+:3.80e-05
-(^),(-1L)%4L,3<:-2.14,-575.+:-2.63e+04
-(^),(-1L)%4L,3.00<:-3,-180.+:-146.
-(^),(-1L)%4L,3.10<:2.50,-0.0536+:0.0748
-(^),(-1L)%4L,2L%3L<:2,-0.0308+:-0.217
-(^),(-1L)%4L,1L%2L<:3L%4L,0.161+:0.129
+(^),(-1L)%4L,3<:1,3.80e-05<:1.59
+(^),(-1L)%4L,3<:-2.14,2.63e+04<:-1.59
+(^),(-1L)%4L,3.00<:-3,232.<:-2.46
+(^),(-1L)%4L,3.10<:2.50,0.0920<:2.19
+(^),(-1L)%4L,2L%3L<:2,0.219<:-1.71
+(^),(-1L)%4L,1L%2L<:3L%4L,0.206<:0.677
 (^),(-1L)%4L,-inf,inf
 (^),(-1L)%4L,nan,nan
 (^),1+:2,1,1.00+:2.00
@@ -3626,12 +3626,12 @@
 (^),-inf,1.20+:-4.30,nan+:nan
 (^),-inf,1L%2L+:1,nan+:nan
 (^),-inf,1L%2L+:3L%4L,nan+:nan
-(^),-inf,3<:1,nan+:nan
-(^),-inf,3<:-2.14,nan+:nan
-(^),-inf,3.00<:-3,nan+:nan
-(^),-inf,3.10<:2.50,nan+:nan
-(^),-inf,2L%3L<:2,nan+:nan
-(^),-inf,1L%2L<:3L%4L,nan+:nan
+(^),-inf,3<:1,inf<:nan
+(^),-inf,3<:-2.14,0.00<:nan
+(^),-inf,3.00<:-3,0.00<:nan
+(^),-inf,3.10<:2.50,0.00<:nan
+(^),-inf,2L%3L<:2,0.00<:nan
+(^),-inf,1L%2L<:3L%4L,inf<:nan
 (^),-inf,-inf,0.00
 (^),-inf,nan,nan
 (^),nan,1,nan
@@ -3649,12 +3649,12 @@
 (^),nan,1.20+:-4.30,nan+:nan
 (^),nan,1L%2L+:1,nan+:nan
 (^),nan,1L%2L+:3L%4L,nan+:nan
-(^),nan,3<:1,nan+:nan
-(^),nan,3<:-2.14,nan+:nan
-(^),nan,3.00<:-3,nan+:nan
-(^),nan,3.10<:2.50,nan+:nan
-(^),nan,2L%3L<:2,nan+:nan
-(^),nan,1L%2L<:3L%4L,nan+:nan
+(^),nan,3<:1,nan<:nan
+(^),nan,3<:-2.14,nan<:nan
+(^),nan,3.00<:-3,nan<:nan
+(^),nan,3.10<:2.50,nan<:nan
+(^),nan,2L%3L<:2,nan<:nan
+(^),nan,1L%2L<:3L%4L,nan<:nan
 (^),nan,-inf,nan
 (^),nan,nan,nan
 atan2,1,1,0.785


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[pure-lang-svn] SF.net SVN: pure-lang:[579] pure/trunk/test/test020.log

From: <ag...@us...> - 2008-08-23 11:18:31

Revision: 579
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=579&view=rev
Author:   agraef
Date:     2008-08-23 11:18:41 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Update log.

Modified Paths:
--------------
    pure/trunk/test/test020.log

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-23 11:09:12 UTC (rev 578)
+++ pure/trunk/test/test020.log	2008-08-23 11:18:41 UTC (rev 579)
@@ -193,9 +193,9 @@
 sqrt,(-1L)%4L,nan
 sqrt,1+:2,1.27+:0.786
 sqrt,-1+:2,0.786+:1.27
-sqrt,1+:-2,1.27+:0.786
+sqrt,1+:-2,1.27+:-0.786
 sqrt,-1.20+:4.30,1.28+:1.68
-sqrt,1.20+:-4.30,1.68+:1.28
+sqrt,1.20+:-4.30,1.68+:-1.28
 sqrt,1L%2L+:1,0.899+:0.556
 sqrt,1L%2L+:3L%4L,0.837+:0.448
 sqrt,3<:1,1.73<:0.500
@@ -375,19 +375,19 @@
 asin,-1.20,nan
 asin,1L%3L,0.340
 asin,(-1L)%4L,-0.253
-asin,1+:2,1.47+:-0.653
+asin,1+:2,0.427+:1.53
 asin,-1+:2,-0.427+:1.53
 asin,1+:-2,0.427+:-1.53
 asin,-1.20+:4.30,-0.266+:2.20
 asin,1.20+:-4.30,0.266+:-2.20
-asin,1L%2L+:1,1.16+:0.0607
-asin,1L%2L+:3L%4L,1.08+:0.0770
-asin,3<:1,1.53+:-1.15
-asin,3<:-2.14,-0.0165+:-1.65
-asin,3.00<:-3,-0.192+:0.118
+asin,1L%2L+:1,0.349+:0.926
+asin,1L%2L+:3L%4L,0.398+:0.743
+asin,3<:1,0.546+:1.80
+asin,3<:-2.14,-0.546+:-1.80
+asin,3.00<:-3,-1.42+:-1.76
 asin,3.10<:2.50,-0.904+:1.82
 asin,2L%3L<:2,-0.238+:0.589
-asin,1L%2L<:3L%4L,0.641+:0.197
+asin,1L%2L<:3L%4L,0.351+:0.355
 asin,-inf,nan
 asin,nan,nan
 acos,1,0.00
@@ -399,17 +399,17 @@
 acos,1L%3L,1.23
 acos,(-1L)%4L,1.82
 acos,1+:2,1.14+:-1.53
-acos,-1+:2,1.59+:-1.43
-acos,1+:-2,0.103+:-0.653
-acos,-1.20+:4.30,1.57+:-2.16
-acos,1.20+:-4.30,0.0451+:-0.864
+acos,-1+:2,-2.00+:1.53
+acos,1+:-2,-1.14+:-1.53
+acos,-1.20+:4.30,-1.84+:2.20
+acos,1.20+:-4.30,-1.30+:-2.20
 acos,1L%2L+:1,1.22+:-0.926
 acos,1L%2L+:3L%4L,1.17+:-0.743
 acos,3<:1,1.02+:-1.80
 acos,3<:-2.14,2.12+:1.80
 acos,3.00<:-3,2.99+:1.76
-acos,3.10<:2.50,1.60+:-1.34
-acos,2L%3L<:2,1.65+:-0.563
+acos,3.10<:2.50,-2.47+:1.82
+acos,2L%3L<:2,-1.81+:0.589
 acos,1L%2L<:3L%4L,1.22+:-0.355
 acos,-inf,nan
 acos,nan,nan
@@ -491,17 +491,17 @@
 asinh,1L%3L,0.327
 asinh,(-1L)%4L,-0.247
 asinh,1+:2,1.47+:1.06
-asinh,-1+:2,1.34+:1.54
-asinh,1+:-2,0.752+:-0.0949
-asinh,-1.20+:4.30,2.14+:1.57
-asinh,1.20+:-4.30,0.889+:-0.0447
+asinh,-1+:2,-1.47+:1.06
+asinh,1+:-2,1.47+:-1.06
+asinh,-1.20+:4.30,-2.18+:1.29
+asinh,1.20+:-4.30,2.18+:-1.29
 asinh,1L%2L+:1,0.733+:0.896
 asinh,1L%2L+:3L%4L,0.606+:0.682
 asinh,3<:1,1.78+:0.974
 asinh,3<:-2.14,-1.78+:-0.974
 asinh,3.00<:-3,-1.82+:-0.134
-asinh,3.10<:2.50,1.29+:1.53
-asinh,2L%3L<:2,-0.00714+:0.938
+asinh,3.10<:2.50,-1.83+:0.617
+asinh,2L%3L<:2,-0.333+:0.612
 asinh,1L%2L<:3L%4L,0.377+:0.324
 asinh,-inf,-inf
 asinh,nan,nan
@@ -514,17 +514,17 @@
 acosh,1L%3L,nan
 acosh,(-1L)%4L,nan
 acosh,1+:2,1.53+:1.14
-acosh,-1+:2,1.43+:1.59
-acosh,1+:-2,0.653+:0.103
-acosh,-1.20+:4.30,2.16+:1.57
-acosh,1.20+:-4.30,0.864+:0.0451
+acosh,-1+:2,-1.53+:-2.00
+acosh,1+:-2,1.53+:-1.14
+acosh,-1.20+:4.30,-2.20+:-1.84
+acosh,1.20+:-4.30,2.20+:-1.30
 acosh,1L%2L+:1,0.926+:1.22
 acosh,1L%2L+:3L%4L,0.743+:1.17
 acosh,3<:1,1.80+:1.02
 acosh,3<:-2.14,-1.80+:2.12
 acosh,3.00<:-3,-1.76+:2.99
-acosh,3.10<:2.50,1.34+:1.60
-acosh,2L%3L<:2,0.563+:1.65
+acosh,3.10<:2.50,-1.82+:-2.47
+acosh,2L%3L<:2,-0.589+:-1.81
 acosh,1L%2L<:3L%4L,0.355+:1.22
 acosh,-inf,nan
 acosh,nan,nan
@@ -3360,8 +3360,8 @@
 (^),-1+:2,nan,nan+:nan
 (^),1+:-2,1,1.00+:-2.00
 (^),1+:-2,-1,0.200+:0.400
-(^),1+:-2,0,1.00+:0.00
-(^),1+:-2,0.00,1.00+:0.00
+(^),1+:-2,0,1.00+:-0.00
+(^),1+:-2,0.00,1.00+:-0.00
 (^),1+:-2,1.20,0.630+:-2.55
 (^),1+:-2,-1.20,0.0913+:0.370
 (^),1+:-2,1L%3L,1.22+:-0.472
@@ -3406,8 +3406,8 @@
 (^),-1.20+:4.30,nan,nan+:nan
 (^),1.20+:-4.30,1,1.20+:-4.30
 (^),1.20+:-4.30,-1,0.0602+:0.216
-(^),1.20+:-4.30,0,1.00+:0.00
-(^),1.20+:-4.30,0.00,1.00+:0.00
+(^),1.20+:-4.30,0,1.00+:-0.00
+(^),1.20+:-4.30,0.00,1.00+:-0.00
 (^),1.20+:-4.30,1.20,0.0748+:-6.02
 (^),1.20+:-4.30,-1.20,0.00206+:0.166
 (^),1.20+:-4.30,1L%3L,1.49+:-0.691
@@ -3473,14 +3473,14 @@
 (^),1L%2L+:3L%4L,1L%2L<:3L%4L,0.653+:0.219
 (^),1L%2L+:3L%4L,-inf,nan+:nan
 (^),1L%2L+:3L%4L,nan,nan+:nan
-(^),3<:1,1,3.00<:1
-(^),3<:1,-1,0.333<:-1
-(^),3<:1,0,1.00<:0
+(^),3<:1,1,3.00<:1.00
+(^),3<:1,-1,0.333<:-1.00
+(^),3<:1,0,1.00<:0.00
 (^),3<:1,0.00,1.00<:0.00
 (^),3<:1,1.20,3.74<:1.20
 (^),3<:1,-1.20,0.268<:-1.20
-(^),3<:1,1L%3L,1.44<:1L%3L
-(^),3<:1,(-1L)%4L,0.760<:(-1L)%4L
+(^),3<:1,1L%3L,1.44<:0.333
+(^),3<:1,(-1L)%4L,0.760<:-0.250
 (^),3<:1,1+:2,-0.405+:-0.0226
 (^),3<:1,-1+:2,0.0165+:0.0420
 (^),3<:1,1+:-2,8.09+:-20.6
@@ -3488,12 +3488,12 @@
 (^),3<:1,1.20+:-4.30,-256.+:103.
 (^),3<:1,1L%2L+:1,-0.0177+:0.637
 (^),3<:1,1L%2L+:3L%4L,0.200+:0.793
-(^),3<:1,3<:1,-0.149+:-0.452
-(^),3<:1,3<:-2.14,-0.658+:2.00
-(^),3<:1,3.00<:-3,-0.0560+:0.0169
-(^),3<:1,3.10<:2.50,0.00922+:-0.00440
-(^),3<:1,2L%3L<:2,0.372+:0.152
-(^),3<:1,1L%2L<:3L%4L,0.785+:0.717
+(^),3<:1,3<:1,0.475<:-1.89
+(^),3<:1,3<:-2.14,2.10<:1.89
+(^),3<:1,3.00<:-3,0.0585<:2.85
+(^),3<:1,3.10<:2.50,0.0102<:-0.445
+(^),3<:1,2L%3L<:2,0.402<:0.389
+(^),3<:1,1L%2L<:3L%4L,1.06<:0.740
 (^),3<:1,-inf,0.00<:nan
 (^),3<:1,nan,nan<:nan
 (^),3<:-2.14,1,3.00<:-2.14
@@ -3511,22 +3511,22 @@
 (^),3<:-2.14,1.20+:-4.30,0.000199+:-0.000317
 (^),3<:-2.14,1L%2L+:1,14.7+:0.410
 (^),3<:-2.14,1L%2L+:3L%4L,8.37+:-2.11
-(^),3<:-2.14,3<:1,1.01e+03+:-850.
-(^),3<:-2.14,3<:-2.14,0.000579+:0.000486
-(^),3<:-2.14,3.00<:-3,0.0143+:-0.00585
-(^),3<:-2.14,3.10<:2.50,1.66+:3.05
-(^),3<:-2.14,2L%3L<:2,0.826+:2.57
-(^),3<:-2.14,1L%2L<:3L%4L,2.85+:-1.23
+(^),3<:-2.14,3<:1,1.32e+03<:-0.698
+(^),3<:-2.14,3<:-2.14,0.000756<:0.698
+(^),3<:-2.14,3.00<:-3,0.0155<:-0.388
+(^),3<:-2.14,3.10<:2.50,3.47<:1.07
+(^),3<:-2.14,2L%3L<:2,2.70<:1.26
+(^),3<:-2.14,1L%2L<:3L%4L,3.10<:-0.409
 (^),3<:-2.14,-inf,0.00<:nan
 (^),3<:-2.14,nan,nan<:nan
-(^),3.00<:-3,1,3.00<:-3
-(^),3.00<:-3,-1,0.333<:3
-(^),3.00<:-3,0,1.00<:0
+(^),3.00<:-3,1,3.00<:-3.00
+(^),3.00<:-3,-1,0.333<:3.00
+(^),3.00<:-3,0,1.00<:-0.00
 (^),3.00<:-3,0.00,1.00<:-0.00
 (^),3.00<:-3,1.20,3.74<:2.68
 (^),3.00<:-3,-1.20,0.268<:-2.68
-(^),3.00<:-3,1L%3L,1.44<:(-1L)%1L
-(^),3.00<:-3,(-1L)%4L,0.760<:3L%4L
+(^),3.00<:-3,1L%3L,1.44<:-1.00
+(^),3.00<:-3,(-1L)%4L,0.760<:0.750
 (^),3.00<:-3,1+:2,841.+:-871.
 (^),3.00<:-3,-1+:2,62.7+:-119.
 (^),3.00<:-3,1+:-2,0.00347+:0.00658
@@ -3534,12 +3534,12 @@
 (^),3.00<:-3,1.20+:-4.30,-4.23e-06+:-8.32e-06
 (^),3.00<:-3,1L%2L+:1,32.0+:-13.6
 (^),3.00<:-3,1L%2L+:3L%4L,12.8+:-10.3
-(^),3.00<:-3,3<:1,-5.72e+03+:-1.00e+04
-(^),3.00<:-3,3<:-2.14,-4.29e-05+:7.52e-05
-(^),3.00<:-3,3.00<:-3,-0.00599+:0.00893
-(^),3.00<:-3,3.10<:2.50,-17.0+:-1.09
-(^),3.00<:-3,2L%3L<:2,0.329+:4.53
-(^),3.00<:-3,1L%2L<:3L%4L,3.12+:-2.75
+(^),3.00<:-3,3<:1,1.15e+04<:-2.09
+(^),3.00<:-3,3<:-2.14,8.66e-05<:2.09
+(^),3.00<:-3,3.00<:-3,0.0107<:2.16
+(^),3.00<:-3,3.10<:2.50,17.1<:-3.08
+(^),3.00<:-3,2L%3L<:2,4.54<:1.50
+(^),3.00<:-3,1L%2L<:3L%4L,4.16<:-0.723
 (^),3.00<:-3,-inf,0.00<:nan
 (^),3.00<:-3,nan,nan<:nan
 (^),3.10<:2.50,1,3.10<:2.50
@@ -3557,22 +3557,22 @@
 (^),3.10<:2.50,1.20+:-4.30,-5.26e+04+:-1.73e+05
 (^),3.10<:2.50,1L%2L+:1,-0.105+:0.0996
 (^),3.10<:2.50,1L%2L+:3L%4L,-0.136+:0.233
-(^),3.10<:2.50,3<:1,0.00922+:0.00665
-(^),3.10<:2.50,3<:-2.14,71.3+:-51.5
-(^),3.10<:2.50,3.00<:-3,-0.00500+:-0.0999
-(^),3.10<:2.50,3.10<:2.50,-0.000330+:0.000480
-(^),3.10<:2.50,2L%3L<:2,0.161+:-0.00124
-(^),3.10<:2.50,1L%2L<:3L%4L,0.172+:0.622
+(^),3.10<:2.50,3<:1,0.0114<:0.625
+(^),3.10<:2.50,3<:-2.14,88.0<:-0.625
+(^),3.10<:2.50,3.00<:-3,0.100<:-1.62
+(^),3.10<:2.50,3.10<:2.50,0.000583<:2.17
+(^),3.10<:2.50,2L%3L<:2,0.161<:-0.00772
+(^),3.10<:2.50,1L%2L<:3L%4L,0.645<:1.30
 (^),3.10<:2.50,-inf,0.00<:nan
 (^),3.10<:2.50,nan,nan<:nan
-(^),2L%3L<:2,1,0.667<:2
-(^),2L%3L<:2,-1,1.50<:-2
-(^),2L%3L<:2,0,1.00<:0
+(^),2L%3L<:2,1,0.667<:2.00
+(^),2L%3L<:2,-1,1.50<:-2.00
+(^),2L%3L<:2,0,1.00<:0.00
 (^),2L%3L<:2,0.00,1.00<:0.00
 (^),2L%3L<:2,1.20,0.615<:2.40
 (^),2L%3L<:2,-1.20,1.63<:-2.40
-(^),2L%3L<:2,1L%3L,0.874<:2L%3L
-(^),2L%3L<:2,(-1L)%4L,1.11<:(-1L)%2L
+(^),2L%3L<:2,1L%3L,0.874<:0.667
+(^),2L%3L<:2,(-1L)%4L,1.11<:-0.500
 (^),2L%3L<:2,1+:2,0.00455+:0.0113
 (^),2L%3L<:2,-1+:2,-0.0260+:-0.00892
 (^),2L%3L<:2,1+:-2,-34.4+:11.8
@@ -3580,22 +3580,22 @@
 (^),2L%3L<:2,1.20+:-4.30,-1.80e+03+:-2.81e+03
 (^),2L%3L<:2,1L%2L+:1,0.0915+:0.0619
 (^),2L%3L<:2,1L%2L+:3L%4L,0.140+:0.117
-(^),2L%3L<:2,3<:1,-0.00201+:0.00265
-(^),2L%3L<:2,3<:-2.14,-181.+:-240.
-(^),2L%3L<:2,3.00<:-3,6.77+:3.83
-(^),2L%3L<:2,3.10<:2.50,0.0566+:0.0358
-(^),2L%3L<:2,2L%3L<:2,0.232+:-0.239
-(^),2L%3L<:2,1L%2L<:3L%4L,0.361+:0.244
+(^),2L%3L<:2,3<:1,0.00333<:2.22
+(^),2L%3L<:2,3<:-2.14,301.<:-2.22
+(^),2L%3L<:2,3.00<:-3,7.78<:0.515
+(^),2L%3L<:2,3.10<:2.50,0.0670<:0.564
+(^),2L%3L<:2,2L%3L<:2,0.333<:-0.801
+(^),2L%3L<:2,1L%2L<:3L%4L,0.436<:0.593
 (^),2L%3L<:2,-inf,inf<:nan
 (^),2L%3L<:2,nan,nan<:nan
-(^),1L%2L<:3L%4L,1,0.500<:3L%4L
-(^),1L%2L<:3L%4L,-1,2.00<:(-3L)%4L
-(^),1L%2L<:3L%4L,0,1.00<:0L%1L
+(^),1L%2L<:3L%4L,1,0.500<:0.750
+(^),1L%2L<:3L%4L,-1,2.00<:-0.750
+(^),1L%2L<:3L%4L,0,1.00<:0.00
 (^),1L%2L<:3L%4L,0.00,1.00<:0.00
 (^),1L%2L<:3L%4L,1.20,0.435<:0.900
 (^),1L%2L<:3L%4L,-1.20,2.30<:-0.900
-(^),1L%2L<:3L%4L,1L%3L,0.794<:1L%4L
-(^),1L%2L<:3L%4L,(-1L)%4L,1.19<:(-3L)%16L
+(^),1L%2L<:3L%4L,1L%3L,0.794<:0.250
+(^),1L%2L<:3L%4L,(-1L)%4L,1.19<:-0.188
 (^),1L%2L<:3L%4L,1+:2,0.0897+:-0.0663
 (^),1L%2L<:3L%4L,-1+:2,-0.239+:-0.377
 (^),1L%2L<:3L%4L,1+:-2,-1.20+:1.89
@@ -3603,12 +3603,12 @@
 (^),1L%2L<:3L%4L,1.20+:-4.30,-8.09+:-7.37
 (^),1L%2L<:3L%4L,1L%2L+:1,0.317+:-0.104
 (^),1L%2L<:3L%4L,1L%2L+:3L%4L,0.399+:-0.0582
-(^),1L%2L<:3L%4L,3<:1,0.0421+:-0.0249
-(^),1L%2L<:3L%4L,3<:-2.14,17.6+:10.4
-(^),1L%2L<:3L%4L,3.00<:-3,-3.82+:-10.1
-(^),1L%2L<:3L%4L,3.10<:2.50,-1.39+:0.00979
-(^),1L%2L<:3L%4L,2L%3L<:2,0.622+:-0.452
-(^),1L%2L<:3L%4L,1L%2L<:3L%4L,0.601+:0.0229
+(^),1L%2L<:3L%4L,3<:1,0.0490<:-0.534
+(^),1L%2L<:3L%4L,3<:-2.14,20.4<:0.534
+(^),1L%2L<:3L%4L,3.00<:-3,10.8<:-1.93
+(^),1L%2L<:3L%4L,3.10<:2.50,1.39<:3.13
+(^),1L%2L<:3L%4L,2L%3L<:2,0.769<:-0.628
+(^),1L%2L<:3L%4L,1L%2L<:3L%4L,0.601<:0.0381
 (^),1L%2L<:3L%4L,-inf,inf<:nan
 (^),1L%2L<:3L%4L,nan,nan<:nan
 (^),-inf,1,-inf


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[pure-lang-svn] SF.net SVN: pure-lang:[578] pure/trunk/lib/math.pure

From: <ag...@us...> - 2008-08-23 11:09:03

Revision: 578
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=578&view=rev
Author:   agraef
Date:     2008-08-23 11:09:12 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Bugfix in (^) operation.

Modified Paths:
--------------
    pure/trunk/lib/math.pure

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-23 10:45:28 UTC (rev 577)
+++ pure/trunk/lib/math.pure	2008-08-23 11:09:12 UTC (rev 578)
@@ -293,10 +293,10 @@
 
 /* Complex powers. */
 
-z1@(_+:_)^z2	|
-z1^z2@(_+:_)	|
-z1@(_<:_)^z2	|
-z1^z2@(_<:_)	= exp (ln z1*z2);
+z1@(_+:_)^x2	|
+z1@(_<:_)^x2	= exp (ln z1*x2);
+x1^z2@(_+:_)	|
+x1^z2@(_<:_)	= exp (ln (complex x1)*z2);
 
 /* Equality. */
 


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[pure-lang-svn] SF.net SVN: pure-lang:[577] pure/trunk/lib/math.pure

From: <ag...@us...> - 2008-08-23 10:45:17

Revision: 577
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=577&view=rev
Author:   agraef
Date:     2008-08-23 10:45:28 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Fix up definition of complex powers.

Modified Paths:
--------------
    pure/trunk/lib/math.pure

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-23 10:27:31 UTC (rev 576)
+++ pure/trunk/lib/math.pure	2008-08-23 10:45:28 UTC (rev 577)
@@ -293,19 +293,11 @@
 
 /* Complex powers. */
 
-// These are computed most easily if the 1st operand is in polar form.
-// FIXME: Deal with special cases like 0^0. These always give nan now.
-z1@(x1+:y1)^z2@(x2+:y2)	= polar z1^z2;
-z1@(x1+:y1)^z2@(r2<:t2)	= polar z1^rect z2;
-(r1<:t1)^z2@(x2+:y2)	|
-(r1<:t1)^z2@(r2<:t2)	= exp (ln r1*z2)*exp((0+:t1)*z2);
+z1@(_+:_)^z2	|
+z1^z2@(_+:_)	|
+z1@(_<:_)^z2	|
+z1^z2@(_<:_)	= exp (ln z1*z2);
 
-// Mixed complex/real cases.
-z1@(x1+:y1)^x2	= z1 ^ (x2+:0);
-x1^z2@(x2+:y2)	= (x1+:0) ^ z2;
-(r1<:t1)^x2	= r1^x2 <: t1*x2;
-x1^z2@(r2<:t2)	= (x1<:0) ^ z2;
-
 /* Equality. */
 
 (x1+:y1) == (x2+:y2)	= x1==x2 && y1==y2;


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[pure-lang-svn] SF.net SVN: pure-lang:[576] pure/trunk/lib/math.pure

From: <ag...@us...> - 2008-08-23 10:27:25

Revision: 576
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=576&view=rev
Author:   agraef
Date:     2008-08-23 10:27:31 +0000 (Sat, 23 Aug 2008)

Log Message:
-----------
Fix broken complex sqrt, minor cosmetic changes in complex trig and hyperbolic functions.

Modified Paths:
--------------
    pure/trunk/lib/math.pure

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-22 20:24:48 UTC (rev 575)
+++ pure/trunk/lib/math.pure	2008-08-23 10:27:31 UTC (rev 576)
@@ -183,8 +183,8 @@
 
 /* Complex sqrt. */
 
-sqrt (x+:y)	= sqrt ((r+x)/2) +: sqrt ((r-x)/2)
-		  when r = sqrt (x*x+y*y) end;
+sqrt (x+:y)	= sqrt r*(cos t +: sin t)
+		  when r = sqrt (x*x+y*y); t = atan2 y x/2 end;
 sqrt (r<:t)	= sqrt r <: t/2;
 
 /* Complex exponential and logarithms. */
@@ -215,9 +215,7 @@
 acos z@(x+:y)	|
 acos z@(r<:t)	= -i*ln (z+sqrt (z*z-1));
 atan z@(x+:y)	|
-atan z@(r<:t)	= 0.0 +: inf if z==i;
-		= 0.0 +: -inf if z==-i;
-		= -i*0.5*ln ((1+i*z)/(1-i*z));
+atan z@(r<:t)	= (ln (1+i*z)-ln (1-i*z))/(2*i);
 
 /* Complex hyperbolic functions. */
 
@@ -233,10 +231,11 @@
 asinh z@(r<:t)	= ln (z+sqrt (z*z+1));
 acosh z@(x+:y)	|
 acosh z@(r<:t)	= ln (z+sqrt (z*z-1));
+// Alternative definition (Kahan).
+// acosh z@(x+:y)	|
+// acosh z@(r<:t)	= 2*ln (sqrt ((z+1)/2)+sqrt ((z-1)/2));
 atanh z@(x+:y)	|
-atanh z@(r<:t)	= inf +: 0.0 if z==1;
-		= -inf +: 0.0 if z==-1;
-		= ln ((1+z)/(1-z))/2;
+atanh z@(r<:t)	= (ln (1+z)-ln (1-z))/2;
 
 /* Complex arithmetic. */
 


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[pure-lang-svn] SF.net SVN: pure-lang:[575] pure/trunk

From: <ag...@us...> - 2008-08-22 20:24:39

Revision: 575
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=575&view=rev
Author:   agraef
Date:     2008-08-22 20:24:48 +0000 (Fri, 22 Aug 2008)

Log Message:
-----------
Remove all special case rules for the real -> complex cases, so that real functions always return real results now.

Modified Paths:
--------------
    pure/trunk/lib/math.pure
    pure/trunk/lib/primitives.pure
    pure/trunk/test/test020.log

Modified: pure/trunk/lib/math.pure
===================================================================
--- pure/trunk/lib/math.pure	2008-08-22 16:34:32 UTC (rev 574)
+++ pure/trunk/lib/math.pure	2008-08-22 20:24:48 UTC (rev 575)
@@ -26,17 +26,16 @@
 
 /* The sqrt function. */
 
-extern double sqrt(double) = c_sqrt;
+extern double sqrt(double);
 
-sqrt x::double = c_sqrt x if x>=0 || nanp x;
 sqrt x::int | sqrt x::bigint = sqrt (double x);
 
 /* Exponential function and logarithms. */
 
 extern double exp(double), double log(double) = c_log;
 
-ln x::double = c_log x if x>=0.0 || nanp x;
-log x::double = c_log x/c_log 10.0 if x>=0.0 || nanp x;
+ln x::double = c_log x;
+log x::double = c_log x/c_log 10.0;
 
 exp x::int | exp x::bigint = exp (double x);
 ln x::int | ln x::bigint = ln (double x);
@@ -75,8 +74,8 @@
 extern double __asinh(double), double __acosh(double), double __atanh(double);
 
 asinh x::double = __asinh x;
-acosh x::double = __acosh x if x>=1.0 || nanp x;
-atanh x::double = __atanh x if abs x<=1.0 || nanp x;
+acosh x::double = __acosh x;
+atanh x::double = __atanh x;
 
 sinh x::int | sinh x::bigint = sinh (double x);
 cosh x::int | cosh x::bigint = cosh (double x);
@@ -188,9 +187,6 @@
 		  when r = sqrt (x*x+y*y) end;
 sqrt (r<:t)	= sqrt r <: t/2;
 
-// Complex square roots of negative reals.
-sqrt x::double	= 0.0 +: sqrt (-x) if x<0;
-
 /* Complex exponential and logarithms. */
 
 exp (x+:y)	= exp x * (cos y +: sin y);
@@ -202,10 +198,6 @@
 log z@(x+:y)	|
 log z@(r<:t)	= ln z / ln 10;
 
-// Complex logarithms of negative reals.
-ln x::double	= ln (abs x) +: arg x if x<0;
-log x::double	= ln x / ln 10 if x<0;
-
 /* Complex trig functions. */
 
 sin (x+:y)	= sin x*cosh y +: cos x*sinh y;
@@ -246,10 +238,6 @@
 		= -inf +: 0.0 if z==-1;
 		= ln ((1+z)/(1-z))/2;
 
-// These inverse hyperbolic trigs have complex results for some reals.
-acosh x::double	= acosh (x+:0);
-atanh x::double	= atanh (x+:0);
-
 /* Complex arithmetic. */
 
 -(x+:y)		= -x +: -y;
@@ -319,9 +307,6 @@
 (r1<:t1)^x2	= r1^x2 <: t1*x2;
 x1^z2@(r2<:t2)	= (x1<:0) ^ z2;
 
-// Complex powers of negative reals.
-x1::double^x2::double	= exp (ln x1*x2) if x1<0;
-
 /* Equality. */
 
 (x1+:y1) == (x2+:y2)	= x1==x2 && y1==y2;

Modified: pure/trunk/lib/primitives.pure
===================================================================
--- pure/trunk/lib/primitives.pure	2008-08-22 16:34:32 UTC (rev 574)
+++ pure/trunk/lib/primitives.pure	2008-08-22 20:24:48 UTC (rev 575)
@@ -350,13 +350,11 @@
 pow x::bigint y::int	= bigint_pow x y if y>=0;
 
 /* The ^ operator. Computes inexact powers for any combination of int, bigint
-   and double operands. The result is always a double. Note that x may be
-   negative only if y is integer, but see math.pure which deals with the
-   general case x<0 using complex numbers. */
+   and double operands. The result is always a double. */
 
 extern double pow(double, double) = c_pow;
 
-x::double^y::double	= c_pow x y if x>=0 || frac y==0.0 || nanp x || nanp y;
+x::double^y::double	= c_pow x y;
 x::int^y::int		|
 x::bigint^y::bigint	|
 x::int^y::bigint	|
@@ -364,8 +362,7 @@
 x::double^y::int	|
 x::double^y::bigint	= c_pow x (double y);
 x::int^y::double	|
-x::bigint^y::double	= c_pow (double x) y if x>=0 || frac y==0.0 || nanp y;
-			= double x^y otherwise;
+x::bigint^y::double	= c_pow (double x) y;
 
 /* Pointer arithmetic. We do this using bigints, so that the code is portable
    to 64 bit systems. */

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-22 16:34:32 UTC (rev 574)
+++ pure/trunk/test/test020.log	2008-08-22 20:24:48 UTC (rev 575)
@@ -184,13 +184,13 @@
 }
 *** UNARY ***
 sqrt,1,1.00
-sqrt,-1,0.00+:1.00
+sqrt,-1,nan
 sqrt,0,0.00
 sqrt,0.00,0.00
 sqrt,1.20,1.10
-sqrt,-1.20,0.00+:1.10
+sqrt,-1.20,nan
 sqrt,1L%3L,0.577
-sqrt,(-1L)%4L,0.00+:0.500
+sqrt,(-1L)%4L,nan
 sqrt,1+:2,1.27+:0.786
 sqrt,-1+:2,0.786+:1.27
 sqrt,1+:-2,1.27+:0.786
@@ -204,7 +204,7 @@
 sqrt,3.10<:2.50,1.76<:1.25
 sqrt,2L%3L<:2,0.816<:1.00
 sqrt,1L%2L<:3L%4L,0.707<:0.375
-sqrt,-inf,0.00+:inf
+sqrt,-inf,nan
 sqrt,nan,nan
 sin,1,0.841
 sin,-1,-0.841
@@ -276,13 +276,13 @@
 tan,-inf,nan
 tan,nan,nan
 ln,1,0.00
-ln,-1,0.00+:3.14
+ln,-1,nan
 ln,0,-inf
 ln,0.00,-inf
 ln,1.20,0.182
-ln,-1.20,0.182+:3.14
+ln,-1.20,nan
 ln,1L%3L,-1.10
-ln,(-1L)%4L,-1.39+:3.14
+ln,(-1L)%4L,nan
 ln,1+:2,0.805+:1.11
 ln,-1+:2,0.805+:2.03
 ln,1+:-2,0.805+:-1.11
@@ -296,16 +296,16 @@
 ln,3.10<:2.50,2.74<:1.15
 ln,2L%3L<:2,2.04<:1.77
 ln,1L%2L<:3L%4L,1.02<:2.32
-ln,-inf,inf+:3.14
+ln,-inf,nan
 ln,nan,nan
 log,1,0.00
-log,-1,0.00+:1.36
+log,-1,nan
 log,0,-inf
 log,0.00,-inf
 log,1.20,0.0792
-log,-1.20,0.0792+:1.36
+log,-1.20,nan
 log,1L%3L,-0.477
-log,(-1L)%4L,-0.602+:1.36
+log,(-1L)%4L,nan
 log,1+:2,0.349+:0.481
 log,-1+:2,0.349+:0.884
 log,1+:-2,0.349+:-0.481
@@ -319,7 +319,7 @@
 log,3.10<:2.50,1.19<:1.15
 log,2L%3L<:2,0.886<:1.77
 log,1L%2L<:3L%4L,0.444<:2.32
-log,-inf,inf+:1.36
+log,-inf,nan
 log,nan,nan
 exp,1,2.72
 exp,-1,0.368
@@ -506,13 +506,13 @@
 asinh,-inf,-inf
 asinh,nan,nan
 acosh,1,0.00
-acosh,-1,0.00+:3.14
-acosh,0,0.00+:1.57
-acosh,0.00,0.00+:1.57
+acosh,-1,nan
+acosh,0,nan
+acosh,0.00,nan
 acosh,1.20,0.622
-acosh,-1.20,-0.622+:3.14
-acosh,1L%3L,0.00+:1.23
-acosh,(-1L)%4L,0.00+:1.82
+acosh,-1.20,nan
+acosh,1L%3L,nan
+acosh,(-1L)%4L,nan
 acosh,1+:2,1.53+:1.14
 acosh,-1+:2,1.43+:1.59
 acosh,1+:-2,0.653+:0.103
@@ -526,14 +526,14 @@
 acosh,3.10<:2.50,1.34+:1.60
 acosh,2L%3L<:2,0.563+:1.65
 acosh,1L%2L<:3L%4L,0.355+:1.22
-acosh,-inf,nan+:nan
+acosh,-inf,nan
 acosh,nan,nan
 atanh,1,inf
 atanh,-1,-inf
 atanh,0,0.00
 atanh,0.00,0.00
-atanh,1.20,1.20+:-1.57
-atanh,-1.20,-1.20+:1.57
+atanh,1.20,nan
+atanh,-1.20,nan
 atanh,1L%3L,0.347
 atanh,(-1L)%4L,-0.255
 atanh,1+:2,0.173+:1.18
@@ -549,7 +549,7 @@
 atanh,3.10<:2.50,-0.254+:1.37
 atanh,2L%3L<:2,-0.202+:0.571
 atanh,1L%2L<:3L%4L,0.335+:0.369
-atanh,-inf,nan+:nan
+atanh,-inf,nan
 atanh,nan,nan
 abs,1,1
 abs,-1,1
@@ -3155,10 +3155,10 @@
 (^),-1,-1,-1.00
 (^),-1,0,1.00
 (^),-1,0.00,1.00
-(^),-1,1.20,-0.809+:-0.588
-(^),-1,-1.20,-0.809+:0.588
-(^),-1,1L%3L,0.500+:0.866
-(^),-1,(-1L)%4L,0.707+:-0.707
+(^),-1,1.20,nan
+(^),-1,-1.20,nan
+(^),-1,1L%3L,nan
+(^),-1,(-1L)%4L,nan
 (^),-1,1+:2,-0.00187+:2.29e-19
 (^),-1,-1+:2,-0.00187+:-2.29e-19
 (^),-1,1+:-2,-535.+:6.56e-14
@@ -3172,7 +3172,7 @@
 (^),-1,3.10<:2.50,0.000152+:-0.00294
 (^),-1,2L%3L<:2,0.0958+:-0.114
 (^),-1,1L%2L<:3L%4L,0.140+:0.313
-(^),-1,-inf,nan+:nan
+(^),-1,-inf,1.00
 (^),-1,nan,nan
 (^),0,1,0.00
 (^),0,-1,inf
@@ -3247,10 +3247,10 @@
 (^),-1.20,-1,-0.833
 (^),-1.20,0,1.00
 (^),-1.20,0.00,1.00
-(^),-1.20,1.20,-1.01+:-0.732
-(^),-1.20,-1.20,-0.650+:0.472
-(^),-1.20,1L%3L,0.531+:0.920
-(^),-1.20,(-1L)%4L,0.676+:-0.676
+(^),-1.20,1.20,nan
+(^),-1.20,-1.20,nan
+(^),-1.20,1L%3L,nan
+(^),-1.20,(-1L)%4L,nan
 (^),-1.20,1+:2,-0.00209+:-0.000799
 (^),-1.20,-1+:2,-0.00145+:-0.000555
 (^),-1.20,1+:-2,-600.+:229.
@@ -3264,7 +3264,7 @@
 (^),-1.20,3.10<:2.50,0.000711+:-0.00173
 (^),-1.20,2L%3L<:2,0.103+:-0.0976
 (^),-1.20,1L%2L<:3L%4L,0.129+:0.343
-(^),-1.20,-inf,nan+:nan
+(^),-1.20,-inf,0.00
 (^),-1.20,nan,nan
 (^),1L%3L,1,0.333
 (^),1L%3L,-1,3.00
@@ -3293,10 +3293,10 @@
 (^),(-1L)%4L,-1,-4.00
 (^),(-1L)%4L,0,1.00
 (^),(-1L)%4L,0.00,1.00
-(^),(-1L)%4L,1.20,-0.153+:-0.111
-(^),(-1L)%4L,-1.20,-4.27+:3.10
-(^),(-1L)%4L,1L%3L,0.315+:0.546
-(^),(-1L)%4L,(-1L)%4L,1.00+:-1.00
+(^),(-1L)%4L,1.20,nan
+(^),(-1L)%4L,-1.20,nan
+(^),(-1L)%4L,1L%3L,nan
+(^),(-1L)%4L,(-1L)%4L,nan
 (^),(-1L)%4L,1+:2,0.000435+:0.000168
 (^),(-1L)%4L,-1+:2,0.00697+:0.00269
 (^),(-1L)%4L,1+:-2,125.+:-48.3
@@ -3310,7 +3310,7 @@
 (^),(-1L)%4L,3.10<:2.50,-0.0536+:0.0748
 (^),(-1L)%4L,2L%3L<:2,-0.0308+:-0.217
 (^),(-1L)%4L,1L%2L<:3L%4L,0.161+:0.129
-(^),(-1L)%4L,-inf,nan+:nan
+(^),(-1L)%4L,-inf,inf
 (^),(-1L)%4L,nan,nan
 (^),1+:2,1,1.00+:2.00
 (^),1+:2,-1,0.200+:-0.400
@@ -3615,10 +3615,10 @@
 (^),-inf,-1,-0.00
 (^),-inf,0,1.00
 (^),-inf,0.00,1.00
-(^),-inf,1.20,-inf+:-inf
-(^),-inf,-1.20,-0.00+:0.00
-(^),-inf,1L%3L,inf+:inf
-(^),-inf,(-1L)%4L,0.00+:-0.00
+(^),-inf,1.20,inf
+(^),-inf,-1.20,0.00
+(^),-inf,1L%3L,inf
+(^),-inf,(-1L)%4L,0.00
 (^),-inf,1+:2,nan+:nan
 (^),-inf,-1+:2,nan+:nan
 (^),-inf,1+:-2,nan+:nan
@@ -3632,7 +3632,7 @@
 (^),-inf,3.10<:2.50,nan+:nan
 (^),-inf,2L%3L<:2,nan+:nan
 (^),-inf,1L%2L<:3L%4L,nan+:nan
-(^),-inf,-inf,nan+:nan
+(^),-inf,-inf,0.00
 (^),-inf,nan,nan
 (^),nan,1,nan
 (^),nan,-1,nan


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[pure-lang-svn] SF.net SVN: pure-lang:[574] pure/trunk/test/test014.pure

From: <ag...@us...> - 2008-08-22 16:34:23

Revision: 574
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=574&view=rev
Author:   agraef
Date:     2008-08-22 16:34:32 +0000 (Fri, 22 Aug 2008)

Log Message:
-----------
Comment change.

Modified Paths:
--------------
    pure/trunk/test/test014.pure

Modified: pure/trunk/test/test014.pure
===================================================================
--- pure/trunk/test/test014.pure	2008-08-22 12:45:47 UTC (rev 573)
+++ pure/trunk/test/test014.pure	2008-08-22 16:34:32 UTC (rev 574)
@@ -46,7 +46,6 @@
 frac (-22%7);
 
 // Rationalizing doubles.
-// FIXME: This should return 3%8, but that doesn't work yet.
 rational (3/8);
 
 // Complex rational arithmetic.


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[pure-lang-svn] SF.net SVN: pure-lang:[573] pure/trunk/test

From: <ag...@us...> - 2008-08-22 12:45:37

Revision: 573
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=573&view=rev
Author:   agraef
Date:     2008-08-22 12:45:47 +0000 (Fri, 22 Aug 2008)

Log Message:
-----------
Round results to 3 digits, to prevent failing tests due to small rounding discrepancies.

Modified Paths:
--------------
    pure/trunk/test/test020.log
    pure/trunk/test/test020.pure

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-22 12:39:25 UTC (rev 572)
+++ pure/trunk/test/test020.log	2008-08-22 12:45:47 UTC (rev 573)
@@ -43,7 +43,7 @@
 check _/*0:001*/ _/*0:01*/ z/*0:1*/ = z/*0:1*/;
 format (f/*0:101*/,x/*0:1101*/,y/*0:11101*/,z/*0:1111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show y/*0:11101*/+","+show z/*0:1111*/;
 format (f/*0:101*/,x/*0:1101*/,z/*0:111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show z/*0:111*/;
-show x/*0:1*/::double = sprintf "%#0.4g" x/*0:1*/;
+show x/*0:1*/::double = sprintf "%#0.3g" x/*0:1*/;
 show (x/*0:101*/+:y/*0:11*/) = show x/*0:101*/+"+:"+show y/*0:11*/;
 show (x/*0:101*/<:y/*0:11*/) = show x/*0:101*/+"<:"+show y/*0:11*/;
 show x/*0:1*/ = str x/*0:1*/;
@@ -146,7 +146,7 @@
   state 12: #0 #1
 }
 {
-  rule #0: show x::double = sprintf "%#0.4g" x
+  rule #0: show x::double = sprintf "%#0.3g" x
   rule #1: show (x+:y) = show x+"+:"+show y
   rule #2: show (x<:y) = show x+"<:"+show y
   rule #3: show x = str x
@@ -183,393 +183,393 @@
   state 15: #2 #3
 }
 *** UNARY ***
-sqrt,1,1.000
-sqrt,-1,0.000+:1.000
-sqrt,0,0.000
-sqrt,0.000,0.000
-sqrt,1.200,1.095
-sqrt,-1.200,0.000+:1.095
-sqrt,1L%3L,0.5774
-sqrt,(-1L)%4L,0.000+:0.5000
-sqrt,1+:2,1.272+:0.7862
-sqrt,-1+:2,0.7862+:1.272
-sqrt,1+:-2,1.272+:0.7862
-sqrt,-1.200+:4.300,1.278+:1.683
-sqrt,1.200+:-4.300,1.683+:1.278
-sqrt,1L%2L+:1,0.8995+:0.5559
-sqrt,1L%2L+:3L%4L,0.8371+:0.4480
-sqrt,3<:1,1.732<:0.5000
-sqrt,3<:-2.142,1.732<:-1.071
-sqrt,3.000<:-3,1.732<:-1.500
-sqrt,3.100<:2.500,1.761<:1.250
-sqrt,2L%3L<:2,0.8165<:1.000
-sqrt,1L%2L<:3L%4L,0.7071<:0.3750
-sqrt,-inf,0.000+:inf
+sqrt,1,1.00
+sqrt,-1,0.00+:1.00
+sqrt,0,0.00
+sqrt,0.00,0.00
+sqrt,1.20,1.10
+sqrt,-1.20,0.00+:1.10
+sqrt,1L%3L,0.577
+sqrt,(-1L)%4L,0.00+:0.500
+sqrt,1+:2,1.27+:0.786
+sqrt,-1+:2,0.786+:1.27
+sqrt,1+:-2,1.27+:0.786
+sqrt,-1.20+:4.30,1.28+:1.68
+sqrt,1.20+:-4.30,1.68+:1.28
+sqrt,1L%2L+:1,0.899+:0.556
+sqrt,1L%2L+:3L%4L,0.837+:0.448
+sqrt,3<:1,1.73<:0.500
+sqrt,3<:-2.14,1.73<:-1.07
+sqrt,3.00<:-3,1.73<:-1.50
+sqrt,3.10<:2.50,1.76<:1.25
+sqrt,2L%3L<:2,0.816<:1.00
+sqrt,1L%2L<:3L%4L,0.707<:0.375
+sqrt,-inf,0.00+:inf
 sqrt,nan,nan
-sin,1,0.8415
-sin,-1,-0.8415
-sin,0,0.000
-sin,0.000,0.000
-sin,1.200,0.9320
-sin,-1.200,-0.9320
-sin,1L%3L,0.3272
-sin,(-1L)%4L,-0.2474
-sin,1+:2,3.166+:1.960
-sin,-1+:2,-3.166+:1.960
-sin,1+:-2,3.166+:-1.960
-sin,-1.200+:4.300,-34.35+:13.35
-sin,1.200+:-4.300,34.35+:-13.35
-sin,1L%2L+:1,0.7398+:1.031
-sin,1L%2L+:3L%4L,0.6207+:0.7217
-sin,3<:1,6.282<:-0.04947
-sin,3<:-2.142,6.282<:3.092
-sin,3.000<:-3,0.4684<:1.980
-sin,3.100<:2.500,3.178<:-2.253
-sin,2L%3L<:2,0.6998<:2.055
-sin,1L%2L<:3L%4L,0.4987<:0.7084
+sin,1,0.841
+sin,-1,-0.841
+sin,0,0.00
+sin,0.00,0.00
+sin,1.20,0.932
+sin,-1.20,-0.932
+sin,1L%3L,0.327
+sin,(-1L)%4L,-0.247
+sin,1+:2,3.17+:1.96
+sin,-1+:2,-3.17+:1.96
+sin,1+:-2,3.17+:-1.96
+sin,-1.20+:4.30,-34.4+:13.4
+sin,1.20+:-4.30,34.4+:-13.4
+sin,1L%2L+:1,0.740+:1.03
+sin,1L%2L+:3L%4L,0.621+:0.722
+sin,3<:1,6.28<:-0.0495
+sin,3<:-2.14,6.28<:3.09
+sin,3.00<:-3,0.468<:1.98
+sin,3.10<:2.50,3.18<:-2.25
+sin,2L%3L<:2,0.700<:2.05
+sin,1L%2L<:3L%4L,0.499<:0.708
 sin,-inf,nan
 sin,nan,nan
-cos,1,0.5403
-cos,-1,0.5403
-cos,0,1.000
-cos,0.000,1.000
-cos,1.200,0.3624
-cos,-1.200,0.3624
-cos,1L%3L,0.9450
-cos,(-1L)%4L,0.9689
-cos,1+:2,2.033+:-3.052
-cos,-1+:2,2.033+:3.052
-cos,1+:-2,2.033+:3.052
-cos,-1.200+:4.300,13.36+:34.34
-cos,1.200+:-4.300,13.36+:34.34
-cos,1L%2L+:1,1.354+:-0.5634
-cos,1L%2L+:3L%4L,1.136+:-0.3942
-cos,3<:1,6.202<:-1.622
-cos,3<:-2.142,6.202<:-1.622
-cos,3.000<:-3,1.078<:-3.072
-cos,3.100<:2.500,3.217<:2.507
-cos,2L%3L<:2,1.157<:0.1530
-cos,1L%2L<:3L%4L,0.9964<:-0.1251
+cos,1,0.540
+cos,-1,0.540
+cos,0,1.00
+cos,0.00,1.00
+cos,1.20,0.362
+cos,-1.20,0.362
+cos,1L%3L,0.945
+cos,(-1L)%4L,0.969
+cos,1+:2,2.03+:-3.05
+cos,-1+:2,2.03+:3.05
+cos,1+:-2,2.03+:3.05
+cos,-1.20+:4.30,13.4+:34.3
+cos,1.20+:-4.30,13.4+:34.3
+cos,1L%2L+:1,1.35+:-0.563
+cos,1L%2L+:3L%4L,1.14+:-0.394
+cos,3<:1,6.20<:-1.62
+cos,3<:-2.14,6.20<:-1.62
+cos,3.00<:-3,1.08<:-3.07
+cos,3.10<:2.50,3.22<:2.51
+cos,2L%3L<:2,1.16<:0.153
+cos,1L%2L<:3L%4L,0.996<:-0.125
 cos,-inf,nan
 cos,nan,nan
-tan,1,1.557
-tan,-1,-1.557
-tan,0,0.000
-tan,0.000,0.000
-tan,1.200,2.572
-tan,-1.200,-2.572
-tan,1L%3L,0.3463
-tan,(-1L)%4L,-0.2553
-tan,1+:2,0.03381+:1.015
-tan,-1+:2,-0.03381+:1.015
-tan,1+:-2,0.03381+:-1.015
-tan,-1.200+:4.300,-0.0002488+:1.000
-tan,1.200+:-4.300,0.0002488+:-1.000
-tan,1L%2L+:1,0.1956+:0.8430
-tan,1L%2L+:3L%4L,0.2909+:0.7361
-tan,3<:1,1.013<:1.572
-tan,3<:-2.142,1.013<:-1.570
-tan,3.000<:-3,0.4347<:-1.231
-tan,3.100<:2.500,0.9878<:1.523
-tan,2L%3L<:2,0.6046<:1.902
-tan,1L%2L<:3L%4L,0.5005<:0.8335
+tan,1,1.56
+tan,-1,-1.56
+tan,0,0.00
+tan,0.00,0.00
+tan,1.20,2.57
+tan,-1.20,-2.57
+tan,1L%3L,0.346
+tan,(-1L)%4L,-0.255
+tan,1+:2,0.0338+:1.01
+tan,-1+:2,-0.0338+:1.01
+tan,1+:-2,0.0338+:-1.01
+tan,-1.20+:4.30,-0.000249+:1.00
+tan,1.20+:-4.30,0.000249+:-1.00
+tan,1L%2L+:1,0.196+:0.843
+tan,1L%2L+:3L%4L,0.291+:0.736
+tan,3<:1,1.01<:1.57
+tan,3<:-2.14,1.01<:-1.57
+tan,3.00<:-3,0.435<:-1.23
+tan,3.10<:2.50,0.988<:1.52
+tan,2L%3L<:2,0.605<:1.90
+tan,1L%2L<:3L%4L,0.501<:0.833
 tan,-inf,nan
 tan,nan,nan
-ln,1,0.000
-ln,-1,0.000+:3.142
+ln,1,0.00
+ln,-1,0.00+:3.14
 ln,0,-inf
-ln,0.000,-inf
-ln,1.200,0.1823
-ln,-1.200,0.1823+:3.142
-ln,1L%3L,-1.099
-ln,(-1L)%4L,-1.386+:3.142
-ln,1+:2,0.8047+:1.107
-ln,-1+:2,0.8047+:2.034
-ln,1+:-2,0.8047+:-1.107
-ln,-1.200+:4.300,1.496+:1.843
-ln,1.200+:-4.300,1.496+:-1.299
-ln,1L%2L+:1,0.1116+:1.107
-ln,1L%2L+:3L%4L,-0.1038+:0.9828
-ln,3<:1,1.486<:0.7384
-ln,3<:-2.142,2.407<:-1.097
-ln,3.000<:-3,3.195<:-1.220
-ln,3.100<:2.500,2.744<:1.146
-ln,2L%3L<:2,2.041<:1.771
-ln,1L%2L<:3L%4L,1.021<:2.317
-ln,-inf,inf+:3.142
+ln,0.00,-inf
+ln,1.20,0.182
+ln,-1.20,0.182+:3.14
+ln,1L%3L,-1.10
+ln,(-1L)%4L,-1.39+:3.14
+ln,1+:2,0.805+:1.11
+ln,-1+:2,0.805+:2.03
+ln,1+:-2,0.805+:-1.11
+ln,-1.20+:4.30,1.50+:1.84
+ln,1.20+:-4.30,1.50+:-1.30
+ln,1L%2L+:1,0.112+:1.11
+ln,1L%2L+:3L%4L,-0.104+:0.983
+ln,3<:1,1.49<:0.738
+ln,3<:-2.14,2.41<:-1.10
+ln,3.00<:-3,3.19<:-1.22
+ln,3.10<:2.50,2.74<:1.15
+ln,2L%3L<:2,2.04<:1.77
+ln,1L%2L<:3L%4L,1.02<:2.32
+ln,-inf,inf+:3.14
 ln,nan,nan
-log,1,0.000
-log,-1,0.000+:1.364
+log,1,0.00
+log,-1,0.00+:1.36
 log,0,-inf
-log,0.000,-inf
-log,1.200,0.07918
-log,-1.200,0.07918+:1.364
-log,1L%3L,-0.4771
-log,(-1L)%4L,-0.6021+:1.364
-log,1+:2,0.3495+:0.4808
-log,-1+:2,0.3495+:0.8835
-log,1+:-2,0.3495+:-0.4808
-log,-1.200+:4.300,0.6498+:0.8004
-log,1.200+:-4.300,0.6498+:-0.5640
-log,1L%2L+:1,0.04846+:0.4808
-log,1L%2L+:3L%4L,-0.04509+:0.4268
-log,3<:1,0.6452<:0.7384
-log,3<:-2.142,1.045<:-1.097
-log,3.000<:-3,1.387<:-1.220
-log,3.100<:2.500,1.192<:1.146
-log,2L%3L<:2,0.8863<:1.771
-log,1L%2L<:3L%4L,0.4435<:2.317
-log,-inf,inf+:1.364
+log,0.00,-inf
+log,1.20,0.0792
+log,-1.20,0.0792+:1.36
+log,1L%3L,-0.477
+log,(-1L)%4L,-0.602+:1.36
+log,1+:2,0.349+:0.481
+log,-1+:2,0.349+:0.884
+log,1+:-2,0.349+:-0.481
+log,-1.20+:4.30,0.650+:0.800
+log,1.20+:-4.30,0.650+:-0.564
+log,1L%2L+:1,0.0485+:0.481
+log,1L%2L+:3L%4L,-0.0451+:0.427
+log,3<:1,0.645<:0.738
+log,3<:-2.14,1.05<:-1.10
+log,3.00<:-3,1.39<:-1.22
+log,3.10<:2.50,1.19<:1.15
+log,2L%3L<:2,0.886<:1.77
+log,1L%2L<:3L%4L,0.444<:2.32
+log,-inf,inf+:1.36
 log,nan,nan
-exp,1,2.718
-exp,-1,0.3679
-exp,0,1.000
-exp,0.000,1.000
-exp,1.200,3.320
-exp,-1.200,0.3012
-exp,1L%3L,1.396
-exp,(-1L)%4L,0.7788
-exp,1+:2,-1.131+:2.472
-exp,-1+:2,-0.1531+:0.3345
-exp,1+:-2,-1.131+:-2.472
-exp,-1.200+:4.300,-0.1207+:-0.2759
-exp,1.200+:-4.300,-1.331+:3.042
-exp,1L%2L+:1,0.8908+:1.387
-exp,1L%2L+:3L%4L,1.206+:1.124
-exp,3<:1,5.058<:2.524
-exp,3<:-2.142,0.1977<:-2.524
-exp,3.000<:-3,0.05130<:-0.4234
-exp,3.100<:2.500,0.08345<:1.855
-exp,2L%3L<:2,0.7577<:0.6062
-exp,1L%2L<:3L%4L,1.442<:0.3408
-exp,-inf,0.000
+exp,1,2.72
+exp,-1,0.368
+exp,0,1.00
+exp,0.00,1.00
+exp,1.20,3.32
+exp,-1.20,0.301
+exp,1L%3L,1.40
+exp,(-1L)%4L,0.779
+exp,1+:2,-1.13+:2.47
+exp,-1+:2,-0.153+:0.335
+exp,1+:-2,-1.13+:-2.47
+exp,-1.20+:4.30,-0.121+:-0.276
+exp,1.20+:-4.30,-1.33+:3.04
+exp,1L%2L+:1,0.891+:1.39
+exp,1L%2L+:3L%4L,1.21+:1.12
+exp,3<:1,5.06<:2.52
+exp,3<:-2.14,0.198<:-2.52
+exp,3.00<:-3,0.0513<:-0.423
+exp,3.10<:2.50,0.0834<:1.86
+exp,2L%3L<:2,0.758<:0.606
+exp,1L%2L<:3L%4L,1.44<:0.341
+exp,-inf,0.00
 exp,nan,nan
-atan,1,0.7854
-atan,-1,-0.7854
-atan,0,0.000
-atan,0.000,0.000
-atan,1.200,0.8761
-atan,-1.200,-0.8761
-atan,1L%3L,0.3218
-atan,(-1L)%4L,-0.2450
-atan,1+:2,1.339+:0.4024
-atan,-1+:2,-1.339+:0.4024
-atan,1+:-2,1.339+:-0.4024
-atan,-1.200+:4.300,-1.508+:0.2183
-atan,1.200+:-4.300,1.508+:-0.2183
-atan,1L%2L+:1,0.9079+:0.7083
-atan,1L%2L+:3L%4L,0.6927+:0.5902
-atan,3<:1,1.378+:0.2779
-atan,3<:-2.142,-1.378+:-0.2779
-atan,3.000<:-3,-1.251+:-0.04244
-atan,3.100<:2.500,-1.309+:0.1826
-atan,2L%3L<:2,-0.3924+:0.6095
-atan,1L%2L<:3L%4L,0.3865+:0.3058
-atan,-inf,-1.571
+atan,1,0.785
+atan,-1,-0.785
+atan,0,0.00
+atan,0.00,0.00
+atan,1.20,0.876
+atan,-1.20,-0.876
+atan,1L%3L,0.322
+atan,(-1L)%4L,-0.245
+atan,1+:2,1.34+:0.402
+atan,-1+:2,-1.34+:0.402
+atan,1+:-2,1.34+:-0.402
+atan,-1.20+:4.30,-1.51+:0.218
+atan,1.20+:-4.30,1.51+:-0.218
+atan,1L%2L+:1,0.908+:0.708
+atan,1L%2L+:3L%4L,0.693+:0.590
+atan,3<:1,1.38+:0.278
+atan,3<:-2.14,-1.38+:-0.278
+atan,3.00<:-3,-1.25+:-0.0424
+atan,3.10<:2.50,-1.31+:0.183
+atan,2L%3L<:2,-0.392+:0.609
+atan,1L%2L<:3L%4L,0.387+:0.306
+atan,-inf,-1.57
 atan,nan,nan
-asin,1,1.571
-asin,-1,-1.571
-asin,0,0.000
-asin,0.000,0.000
-asin,1.200,nan
-asin,-1.200,nan
-asin,1L%3L,0.3398
-asin,(-1L)%4L,-0.2527
-asin,1+:2,1.468+:-0.6525
-asin,-1+:2,-0.4271+:1.529
-asin,1+:-2,0.4271+:-1.529
-asin,-1.200+:4.300,-0.2659+:2.200
-asin,1.200+:-4.300,0.2659+:-2.200
-asin,1L%2L+:1,1.164+:0.06071
-asin,1L%2L+:3L%4L,1.078+:0.07700
-asin,3<:1,1.526+:-1.150
-asin,3<:-2.142,-0.01648+:-1.647
-asin,3.000<:-3,-0.1918+:0.1181
-asin,3.100<:2.500,-0.9037+:1.818
-asin,2L%3L<:2,-0.2376+:0.5891
-asin,1L%2L<:3L%4L,0.6406+:0.1974
+asin,1,1.57
+asin,-1,-1.57
+asin,0,0.00
+asin,0.00,0.00
+asin,1.20,nan
+asin,-1.20,nan
+asin,1L%3L,0.340
+asin,(-1L)%4L,-0.253
+asin,1+:2,1.47+:-0.653
+asin,-1+:2,-0.427+:1.53
+asin,1+:-2,0.427+:-1.53
+asin,-1.20+:4.30,-0.266+:2.20
+asin,1.20+:-4.30,0.266+:-2.20
+asin,1L%2L+:1,1.16+:0.0607
+asin,1L%2L+:3L%4L,1.08+:0.0770
+asin,3<:1,1.53+:-1.15
+asin,3<:-2.14,-0.0165+:-1.65
+asin,3.00<:-3,-0.192+:0.118
+asin,3.10<:2.50,-0.904+:1.82
+asin,2L%3L<:2,-0.238+:0.589
+asin,1L%2L<:3L%4L,0.641+:0.197
 asin,-inf,nan
 asin,nan,nan
-acos,1,0.000
-acos,-1,3.142
-acos,0,1.571
-acos,0.000,1.571
-acos,1.200,nan
-acos,-1.200,nan
-acos,1L%3L,1.231
-acos,(-1L)%4L,1.823
-acos,1+:2,1.144+:-1.529
-acos,-1+:2,1.592+:-1.435
-acos,1+:-2,0.1030+:-0.6525
-acos,-1.200+:4.300,1.574+:-2.164
-acos,1.200+:-4.300,0.04507+:-0.8643
-acos,1L%2L+:1,1.221+:-0.9261
-acos,1L%2L+:3L%4L,1.173+:-0.7433
-acos,3<:1,1.024+:-1.804
-acos,3<:-2.142,2.117+:1.804
-acos,3.000<:-3,2.992+:1.764
-acos,3.100<:2.500,1.604+:-1.338
-acos,2L%3L<:2,1.645+:-0.5633
-acos,1L%2L<:3L%4L,1.220+:-0.3554
+acos,1,0.00
+acos,-1,3.14
+acos,0,1.57
+acos,0.00,1.57
+acos,1.20,nan
+acos,-1.20,nan
+acos,1L%3L,1.23
+acos,(-1L)%4L,1.82
+acos,1+:2,1.14+:-1.53
+acos,-1+:2,1.59+:-1.43
+acos,1+:-2,0.103+:-0.653
+acos,-1.20+:4.30,1.57+:-2.16
+acos,1.20+:-4.30,0.0451+:-0.864
+acos,1L%2L+:1,1.22+:-0.926
+acos,1L%2L+:3L%4L,1.17+:-0.743
+acos,3<:1,1.02+:-1.80
+acos,3<:-2.14,2.12+:1.80
+acos,3.00<:-3,2.99+:1.76
+acos,3.10<:2.50,1.60+:-1.34
+acos,2L%3L<:2,1.65+:-0.563
+acos,1L%2L<:3L%4L,1.22+:-0.355
 acos,-inf,nan
 acos,nan,nan
-sinh,1,1.175
-sinh,-1,-1.175
-sinh,0,0.000
-sinh,0.000,0.000
-sinh,1.200,1.509
-sinh,-1.200,-1.509
-sinh,1L%3L,0.3395
-sinh,(-1L)%4L,-0.2526
-sinh,1+:2,-0.4891+:1.403
-sinh,-1+:2,0.4891+:1.403
-sinh,1+:-2,-0.4891+:-1.403
-sinh,-1.200+:4.300,0.6050+:-1.659
-sinh,1.200+:-4.300,-0.6050+:1.659
-sinh,1L%2L+:1,0.2815+:0.9489
-sinh,1L%2L+:3L%4L,0.3813+:0.7686
-sinh,3<:1,2.498<:2.487
-sinh,3<:-2.142,2.498<:-0.6545
-sinh,3.000<:-3,9.729<:-2.716
-sinh,3.100<:2.500,6.027<:1.290
-sinh,2L%3L<:2,0.6353<:1.943
-sinh,1L%2L<:3L%4L,0.5016<:0.7915
+sinh,1,1.18
+sinh,-1,-1.18
+sinh,0,0.00
+sinh,0.00,0.00
+sinh,1.20,1.51
+sinh,-1.20,-1.51
+sinh,1L%3L,0.340
+sinh,(-1L)%4L,-0.253
+sinh,1+:2,-0.489+:1.40
+sinh,-1+:2,0.489+:1.40
+sinh,1+:-2,-0.489+:-1.40
+sinh,-1.20+:4.30,0.605+:-1.66
+sinh,1.20+:-4.30,-0.605+:1.66
+sinh,1L%2L+:1,0.282+:0.949
+sinh,1L%2L+:3L%4L,0.381+:0.769
+sinh,3<:1,2.50<:2.49
+sinh,3<:-2.14,2.50<:-0.655
+sinh,3.00<:-3,9.73<:-2.72
+sinh,3.10<:2.50,6.03<:1.29
+sinh,2L%3L<:2,0.635<:1.94
+sinh,1L%2L<:3L%4L,0.502<:0.792
 sinh,-inf,-inf
 sinh,nan,nan
-cosh,1,1.543
-cosh,-1,1.543
-cosh,0,1.000
-cosh,0.000,1.000
-cosh,1.200,1.811
-cosh,-1.200,1.811
-cosh,1L%3L,1.056
-cosh,(-1L)%4L,1.031
-cosh,1+:2,-0.6421+:1.069
-cosh,-1+:2,-0.6421+:-1.069
-cosh,1+:-2,-0.6421+:-1.069
-cosh,-1.200+:4.300,-0.7257+:1.383
-cosh,1.200+:-4.300,-0.7257+:1.383
-cosh,1L%2L+:1,0.6093+:0.4385
-cosh,1L%2L+:3L%4L,0.8251+:0.3552
-cosh,3<:1,2.563<:2.561
-cosh,3<:-2.142,2.563<:2.561
-cosh,3.000<:-3,9.763<:0.4214
-cosh,3.100<:2.500,5.957<:-1.859
-cosh,2L%3L<:2,0.8685<:-0.1854
-cosh,1L%2L<:3L%4L,1.014<:0.1236
+cosh,1,1.54
+cosh,-1,1.54
+cosh,0,1.00
+cosh,0.00,1.00
+cosh,1.20,1.81
+cosh,-1.20,1.81
+cosh,1L%3L,1.06
+cosh,(-1L)%4L,1.03
+cosh,1+:2,-0.642+:1.07
+cosh,-1+:2,-0.642+:-1.07
+cosh,1+:-2,-0.642+:-1.07
+cosh,-1.20+:4.30,-0.726+:1.38
+cosh,1.20+:-4.30,-0.726+:1.38
+cosh,1L%2L+:1,0.609+:0.438
+cosh,1L%2L+:3L%4L,0.825+:0.355
+cosh,3<:1,2.56<:2.56
+cosh,3<:-2.14,2.56<:2.56
+cosh,3.00<:-3,9.76<:0.421
+cosh,3.10<:2.50,5.96<:-1.86
+cosh,2L%3L<:2,0.869<:-0.185
+cosh,1L%2L<:3L%4L,1.01<:0.124
 cosh,-inf,inf
 cosh,nan,nan
-tanh,1,0.7616
-tanh,-1,-0.7616
-tanh,0,0.000
-tanh,0.000,0.000
-tanh,1.200,0.8337
-tanh,-1.200,-0.8337
-tanh,1L%3L,0.3215
-tanh,(-1L)%4L,-0.2449
-tanh,1+:2,1.167+:-0.2435
-tanh,-1+:2,-1.167+:-0.2435
-tanh,1+:-2,1.167+:0.2435
-tanh,-1.200+:4.300,-1.121+:0.1505
-tanh,1.200+:-4.300,1.121+:-0.1505
-tanh,1L%2L+:1,1.043+:0.8069
-tanh,1L%2L+:3L%4L,0.7282+:0.6181
-tanh,3<:1,0.9746<:-0.07378
-tanh,3<:-2.142,0.9746<:3.068
-tanh,3.000<:-3,0.9965<:-3.138
-tanh,3.100<:2.500,1.012<:-3.134
-tanh,2L%3L<:2,0.7314<:2.128
-tanh,1L%2L<:3L%4L,0.4947<:0.6679
-tanh,-inf,-1.000
+tanh,1,0.762
+tanh,-1,-0.762
+tanh,0,0.00
+tanh,0.00,0.00
+tanh,1.20,0.834
+tanh,-1.20,-0.834
+tanh,1L%3L,0.322
+tanh,(-1L)%4L,-0.245
+tanh,1+:2,1.17+:-0.243
+tanh,-1+:2,-1.17+:-0.243
+tanh,1+:-2,1.17+:0.243
+tanh,-1.20+:4.30,-1.12+:0.151
+tanh,1.20+:-4.30,1.12+:-0.151
+tanh,1L%2L+:1,1.04+:0.807
+tanh,1L%2L+:3L%4L,0.728+:0.618
+tanh,3<:1,0.975<:-0.0738
+tanh,3<:-2.14,0.975<:3.07
+tanh,3.00<:-3,0.997<:-3.14
+tanh,3.10<:2.50,1.01<:-3.13
+tanh,2L%3L<:2,0.731<:2.13
+tanh,1L%2L<:3L%4L,0.495<:0.668
+tanh,-inf,-1.00
 tanh,nan,nan
-asinh,1,0.8814
-asinh,-1,-0.8814
-asinh,0,0.000
-asinh,0.000,0.000
-asinh,1.200,1.016
-asinh,-1.200,-1.016
-asinh,1L%3L,0.3275
-asinh,(-1L)%4L,-0.2475
-asinh,1+:2,1.469+:1.063
-asinh,-1+:2,1.335+:1.541
-asinh,1+:-2,0.7520+:-0.09494
-asinh,-1.200+:4.300,2.139+:1.567
-asinh,1.200+:-4.300,0.8894+:-0.04474
-asinh,1L%2L+:1,0.7329+:0.8959
-asinh,1L%2L+:3L%4L,0.6063+:0.6822
-asinh,3<:1,1.781+:0.9739
-asinh,3<:-2.142,-1.781+:-0.9739
-asinh,3.000<:-3,-1.817+:-0.1344
-asinh,3.100<:2.500,1.287+:1.535
-asinh,2L%3L<:2,-0.007142+:0.9382
-asinh,1L%2L<:3L%4L,0.3769+:0.3236
+asinh,1,0.881
+asinh,-1,-0.881
+asinh,0,0.00
+asinh,0.00,0.00
+asinh,1.20,1.02
+asinh,-1.20,-1.02
+asinh,1L%3L,0.327
+asinh,(-1L)%4L,-0.247
+asinh,1+:2,1.47+:1.06
+asinh,-1+:2,1.34+:1.54
+asinh,1+:-2,0.752+:-0.0949
+asinh,-1.20+:4.30,2.14+:1.57
+asinh,1.20+:-4.30,0.889+:-0.0447
+asinh,1L%2L+:1,0.733+:0.896
+asinh,1L%2L+:3L%4L,0.606+:0.682
+asinh,3<:1,1.78+:0.974
+asinh,3<:-2.14,-1.78+:-0.974
+asinh,3.00<:-3,-1.82+:-0.134
+asinh,3.10<:2.50,1.29+:1.53
+asinh,2L%3L<:2,-0.00714+:0.938
+asinh,1L%2L<:3L%4L,0.377+:0.324
 asinh,-inf,-inf
 asinh,nan,nan
-acosh,1,0.000
-acosh,-1,0.000+:3.142
-acosh,0,0.000+:1.571
-acosh,0.000,0.000+:1.571
-acosh,1.200,0.6224
-acosh,-1.200,-0.6224+:3.142
-acosh,1L%3L,0.000+:1.231
-acosh,(-1L)%4L,0.000+:1.823
-acosh,1+:2,1.529+:1.144
-acosh,-1+:2,1.435+:1.592
-acosh,1+:-2,0.6525+:0.1030
-acosh,-1.200+:4.300,2.164+:1.574
-acosh,1.200+:-4.300,0.8643+:0.04507
-acosh,1L%2L+:1,0.9261+:1.221
-acosh,1L%2L+:3L%4L,0.7433+:1.173
-acosh,3<:1,1.804+:1.024
-acosh,3<:-2.142,-1.804+:2.117
-acosh,3.000<:-3,-1.764+:2.992
-acosh,3.100<:2.500,1.338+:1.604
-acosh,2L%3L<:2,0.5633+:1.645
-acosh,1L%2L<:3L%4L,0.3554+:1.220
+acosh,1,0.00
+acosh,-1,0.00+:3.14
+acosh,0,0.00+:1.57
+acosh,0.00,0.00+:1.57
+acosh,1.20,0.622
+acosh,-1.20,-0.622+:3.14
+acosh,1L%3L,0.00+:1.23
+acosh,(-1L)%4L,0.00+:1.82
+acosh,1+:2,1.53+:1.14
+acosh,-1+:2,1.43+:1.59
+acosh,1+:-2,0.653+:0.103
+acosh,-1.20+:4.30,2.16+:1.57
+acosh,1.20+:-4.30,0.864+:0.0451
+acosh,1L%2L+:1,0.926+:1.22
+acosh,1L%2L+:3L%4L,0.743+:1.17
+acosh,3<:1,1.80+:1.02
+acosh,3<:-2.14,-1.80+:2.12
+acosh,3.00<:-3,-1.76+:2.99
+acosh,3.10<:2.50,1.34+:1.60
+acosh,2L%3L<:2,0.563+:1.65
+acosh,1L%2L<:3L%4L,0.355+:1.22
 acosh,-inf,nan+:nan
 acosh,nan,nan
 atanh,1,inf
 atanh,-1,-inf
-atanh,0,0.000
-atanh,0.000,0.000
-atanh,1.200,1.199+:-1.571
-atanh,-1.200,-1.199+:1.571
-atanh,1L%3L,0.3466
-atanh,(-1L)%4L,-0.2554
-atanh,1+:2,0.1733+:1.178
-atanh,-1+:2,-0.1733+:1.178
-atanh,1+:-2,0.1733+:-1.178
-atanh,-1.200+:4.300,-0.05759+:1.358
-atanh,1.200+:-4.300,0.05759+:-1.358
-atanh,1L%2L+:1,0.2389+:0.8476
-atanh,1L%2L+:3L%4L,0.3104+:0.7232
-atanh,3<:1,0.1682+:1.289
-atanh,3<:-2.142,-0.1682+:-1.289
-atanh,3.000<:-3,-0.3419+:-1.518
-atanh,3.100<:2.500,-0.2539+:1.367
-atanh,2L%3L<:2,-0.2025+:0.5706
-atanh,1L%2L<:3L%4L,0.3353+:0.3688
+atanh,0,0.00
+atanh,0.00,0.00
+atanh,1.20,1.20+:-1.57
+atanh,-1.20,-1.20+:1.57
+atanh,1L%3L,0.347
+atanh,(-1L)%4L,-0.255
+atanh,1+:2,0.173+:1.18
+atanh,-1+:2,-0.173+:1.18
+atanh,1+:-2,0.173+:-1.18
+atanh,-1.20+:4.30,-0.0576+:1.36
+atanh,1.20+:-4.30,0.0576+:-1.36
+atanh,1L%2L+:1,0.239+:0.848
+atanh,1L%2L+:3L%4L,0.310+:0.723
+atanh,3<:1,0.168+:1.29
+atanh,3<:-2.14,-0.168+:-1.29
+atanh,3.00<:-3,-0.342+:-1.52
+atanh,3.10<:2.50,-0.254+:1.37
+atanh,2L%3L<:2,-0.202+:0.571
+atanh,1L%2L<:3L%4L,0.335+:0.369
 atanh,-inf,nan+:nan
 atanh,nan,nan
 abs,1,1
 abs,-1,1
 abs,0,0
-abs,0.000,0.000
-abs,1.200,1.200
-abs,-1.200,1.200
+abs,0.00,0.00
+abs,1.20,1.20
+abs,-1.20,1.20
 abs,1L%3L,1L%3L
 abs,(-1L)%4L,1L%4L
-abs,1+:2,2.236
-abs,-1+:2,2.236
-abs,1+:-2,2.236
-abs,-1.200+:4.300,4.464
-abs,1.200+:-4.300,4.464
-abs,1L%2L+:1,1.118
-abs,1L%2L+:3L%4L,0.9014
+abs,1+:2,2.24
+abs,-1+:2,2.24
+abs,1+:-2,2.24
+abs,-1.20+:4.30,4.46
+abs,1.20+:-4.30,4.46
+abs,1L%2L+:1,1.12
+abs,1L%2L+:3L%4L,0.901
 abs,3<:1,3
-abs,3<:-2.142,3
-abs,3.000<:-3,3.000
-abs,3.100<:2.500,3.100
+abs,3<:-2.14,3
+abs,3.00<:-3,3.00
+abs,3.10<:2.50,3.10
 abs,2L%3L<:2,2L%3L
 abs,1L%2L<:3L%4L,1L%2L
 abs,-inf,inf
@@ -577,91 +577,91 @@
 re,1,1
 re,-1,-1
 re,0,0
-re,0.000,0.000
-re,1.200,1.200
-re,-1.200,-1.200
+re,0.00,0.00
+re,1.20,1.20
+re,-1.20,-1.20
 re,1L%3L,1L%3L
 re,(-1L)%4L,(-1L)%4L
 re,1+:2,1
 re,-1+:2,-1
 re,1+:-2,1
-re,-1.200+:4.300,-1.200
-re,1.200+:-4.300,1.200
+re,-1.20+:4.30,-1.20
+re,1.20+:-4.30,1.20
 re,1L%2L+:1,1L%2L
 re,1L%2L+:3L%4L,1L%2L
-re,3<:1,2.524
-re,3<:-2.142,-2.524
-re,3.000<:-3,-0.4234
-re,3.100<:2.500,1.855
-re,2L%3L<:2,0.6062
-re,1L%2L<:3L%4L,0.3408
+re,3<:1,2.52
+re,3<:-2.14,-2.52
+re,3.00<:-3,-0.423
+re,3.10<:2.50,1.86
+re,2L%3L<:2,0.606
+re,1L%2L<:3L%4L,0.341
 re,-inf,-inf
 re,nan,nan
 im,1,0
 im,-1,0
 im,0,0
-im,0.000,0.000
-im,1.200,0.000
-im,-1.200,0.000
+im,0.00,0.00
+im,1.20,0.00
+im,-1.20,0.00
 im,1L%3L,0L%1L
 im,(-1L)%4L,0L%1L
 im,1+:2,2
 im,-1+:2,2
 im,1+:-2,-2
-im,-1.200+:4.300,4.300
-im,1.200+:-4.300,-4.300
+im,-1.20+:4.30,4.30
+im,1.20+:-4.30,-4.30
 im,1L%2L+:1,1
 im,1L%2L+:3L%4L,3L%4L
-im,3<:1,1.621
-im,3<:-2.142,-1.621
-im,3.000<:-3,-2.970
-im,3.100<:2.500,-2.484
-im,2L%3L<:2,-0.2774
-im,1L%2L<:3L%4L,0.3658
-im,-inf,0.000
-im,nan,0.000
-arg,1,0.000
-arg,-1,3.142
-arg,0,0.000
-arg,0.000,0.000
-arg,1.200,0.000
-arg,-1.200,3.142
-arg,1L%3L,0.000
-arg,(-1L)%4L,3.142
-arg,1+:2,1.107
-arg,-1+:2,2.034
-arg,1+:-2,-1.107
-arg,-1.200+:4.300,1.843
-arg,1.200+:-4.300,-1.299
-arg,1L%2L+:1,1.107
-arg,1L%2L+:3L%4L,0.9828
+im,3<:1,1.62
+im,3<:-2.14,-1.62
+im,3.00<:-3,-2.97
+im,3.10<:2.50,-2.48
+im,2L%3L<:2,-0.277
+im,1L%2L<:3L%4L,0.366
+im,-inf,0.00
+im,nan,0.00
+arg,1,0.00
+arg,-1,3.14
+arg,0,0.00
+arg,0.00,0.00
+arg,1.20,0.00
+arg,-1.20,3.14
+arg,1L%3L,0.00
+arg,(-1L)%4L,3.14
+arg,1+:2,1.11
+arg,-1+:2,2.03
+arg,1+:-2,-1.11
+arg,-1.20+:4.30,1.84
+arg,1.20+:-4.30,-1.30
+arg,1L%2L+:1,1.11
+arg,1L%2L+:3L%4L,0.983
 arg,3<:1,1
-arg,3<:-2.142,-2.142
-arg,3.000<:-3,-3
-arg,3.100<:2.500,2.500
+arg,3<:-2.14,-2.14
+arg,3.00<:-3,-3
+arg,3.10<:2.50,2.50
 arg,2L%3L<:2,2
 arg,1L%2L<:3L%4L,3L%4L
-arg,-inf,3.142
+arg,-inf,3.14
 arg,nan,nan
 conj,1,1
 conj,-1,-1
 conj,0,0
-conj,0.000,0.000
-conj,1.200,1.200
-conj,-1.200,-1.200
+conj,0.00,0.00
+conj,1.20,1.20
+conj,-1.20,-1.20
 conj,1L%3L,1L%3L
 conj,(-1L)%4L,(-1L)%4L
 conj,1+:2,1+:-2
 conj,-1+:2,-1+:-2
 conj,1+:-2,1+:2
-conj,-1.200+:4.300,-1.200+:-4.300
-conj,1.200+:-4.300,1.200+:4.300
+conj,-1.20+:4.30,-1.20+:-4.30
+conj,1.20+:-4.30,1.20+:4.30
 conj,1L%2L+:1,1L%2L+:-1
 conj,1L%2L+:3L%4L,1L%2L+:(-3L)%4L
 conj,3<:1,3<:-1
-conj,3<:-2.142,3<:2.142
-conj,3.000<:-3,3.000<:3
-conj,3.100<:2.500,3.100<:-2.500
+conj,3<:-2.14,3<:2.14
+conj,3.00<:-3,3.00<:3
+conj,3.10<:2.50,3.10<:-2.50
 conj,2L%3L<:2,2L%3L<:-2
 conj,1L%2L<:3L%4L,1L%2L<:(-3L)%4L
 conj,-inf,-inf
@@ -669,68 +669,68 @@
 rect,1,1+:0
 rect,-1,-1+:0
 rect,0,0+:0
-rect,0.000,0.000+:0.000
-rect,1.200,1.200+:0.000
-rect,-1.200,-1.200+:0.000
+rect,0.00,0.00+:0.00
+rect,1.20,1.20+:0.00
+rect,-1.20,-1.20+:0.00
 rect,1L%3L,1L%3L+:0L%1L
 rect,(-1L)%4L,(-1L)%4L+:0L%1L
 rect,1+:2,1+:2
 rect,-1+:2,-1+:2
 rect,1+:-2,1+:-2
-rect,-1.200+:4.300,-1.200+:4.300
-rect,1.200+:-4.300,1.200+:-4.300
+rect,-1.20+:4.30,-1.20+:4.30
+rect,1.20+:-4.30,1.20+:-4.30
 rect,1L%2L+:1,1L%2L+:1
 rect,1L%2L+:3L%4L,1L%2L+:3L%4L
-rect,3<:1,1.621+:2.524
-rect,3<:-2.142,-1.621+:-2.524
-rect,3.000<:-3,-2.970+:-0.4234
-rect,3.100<:2.500,-2.484+:1.855
-rect,2L%3L<:2,-0.2774+:0.6062
-rect,1L%2L<:3L%4L,0.3658+:0.3408
-rect,-inf,-inf+:0.000
-rect,nan,nan+:0.000
+rect,3<:1,1.62+:2.52
+rect,3<:-2.14,-1.62+:-2.52
+rect,3.00<:-3,-2.97+:-0.423
+rect,3.10<:2.50,-2.48+:1.86
+rect,2L%3L<:2,-0.277+:0.606
+rect,1L%2L<:3L%4L,0.366+:0.341
+rect,-inf,-inf+:0.00
+rect,nan,nan+:0.00
 polar,1,1<:0
-polar,-1,1<:3.142
+polar,-1,1<:3.14
 polar,0,0<:0
-polar,0.000,0.000<:0.000
-polar,1.200,1.200<:0.000
-polar,-1.200,1.200<:3.142
+polar,0.00,0.00<:0.00
+polar,1.20,1.20<:0.00
+polar,-1.20,1.20<:3.14
 polar,1L%3L,1L%3L<:0L%1L
-polar,(-1L)%4L,1L%4L<:3.142
-polar,1+:2,2.236<:1.107
-polar,-1+:2,2.236<:2.034
-polar,1+:-2,2.236<:-1.107
-polar,-1.200+:4.300,4.464<:1.843
-polar,1.200+:-4.300,4.464<:-1.299
-polar,1L%2L+:1,1.118<:1.107
-polar,1L%2L+:3L%4L,0.9014<:0.9828
+polar,(-1L)%4L,1L%4L<:3.14
+polar,1+:2,2.24<:1.11
+polar,-1+:2,2.24<:2.03
+polar,1+:-2,2.24<:-1.11
+polar,-1.20+:4.30,4.46<:1.84
+polar,1.20+:-4.30,4.46<:-1.30
+polar,1L%2L+:1,1.12<:1.11
+polar,1L%2L+:3L%4L,0.901<:0.983
 polar,3<:1,3<:1
-polar,3<:-2.142,3<:-2.142
-polar,3.000<:-3,3.000<:-3
-polar,3.100<:2.500,3.100<:2.500
+polar,3<:-2.14,3<:-2.14
+polar,3.00<:-3,3.00<:-3
+polar,3.10<:2.50,3.10<:2.50
 polar,2L%3L<:2,2L%3L<:2
 polar,1L%2L<:3L%4L,1L%2L<:3L%4L
-polar,-inf,inf<:3.142
-polar,nan,nan<:0.000
-cis,1,0.5403+:0.8415
-cis,-1,0.5403+:-0.8415
-cis,0,1.000+:0.000
-cis,0.000,1.000+:0.000
-cis,1.200,0.3624+:0.9320
-cis,-1.200,0.3624+:-0.9320
-cis,1L%3L,0.9450+:0.3272
-cis,(-1L)%4L,0.9689+:-0.2474
+polar,-inf,inf<:3.14
+polar,nan,nan<:0.00
+cis,1,0.540+:0.841
+cis,-1,0.540+:-0.841
+cis,0,1.00+:0.00
+cis,0.00,1.00+:0.00
+cis,1.20,0.362+:0.932
+cis,-1.20,0.362+:-0.932
+cis,1L%3L,0.945+:0.327
+cis,(-1L)%4L,0.969+:-0.247
 cis,1+:2,__failed__
 cis,-1+:2,__failed__
 cis,1+:-2,__failed__
-cis,-1.200+:4.300,__failed__
-cis,1.200+:-4.300,__failed__
+cis,-1.20+:4.30,__failed__
+cis,1.20+:-4.30,__failed__
 cis,1L%2L+:1,__failed__
 cis,1L%2L+:3L%4L,__failed__
 cis,3<:1,__failed__
-cis,3<:-2.142,__failed__
-cis,3.000<:-3,__failed__
-cis,3.100<:2.500,__failed__
+cis,3<:-2.14,__failed__
+cis,3.00<:-3,__failed__
+cis,3.10<:2.50,__failed__
 cis,2L%3L<:2,__failed__
 cis,1L%2L<:3L%4L,__failed__
 cis,-inf,nan+:nan
@@ -738,22 +738,22 @@
 ceil,1,1
 ceil,-1,-1
 ceil,0,0
-ceil,0.000,0.000
-ceil,1.200,2.000
-ceil,-1.200,-1.000
+ceil,0.00,0.00
+ceil,1.20,2.00
+ceil,-1.20,-1.00
 ceil,1L%3L,1L
 ceil,(-1L)%4L,0L
 ceil,1+:2,__failed__
 ceil,-1+:2,__failed__
 ceil,1+:-2,__failed__
-ceil,-1.200+:4.300,__failed__
-ceil,1.200+:-4.300,__failed__
+ceil,-1.20+:4.30,__failed__
+ceil,1.20+:-4.30,__failed__
 ceil,1L%2L+:1,__failed__
 ceil,1L%2L+:3L%4L,__failed__
 ceil,3<:1,__failed__
-ceil,3<:-2.142,__failed__
-ceil,3.000<:-3,__failed__
-ceil,3.100<:2.500,__failed__
+ceil,3<:-2.14,__failed__
+ceil,3.00<:-3,__failed__
+ceil,3.10<:2.50,__failed__
 ceil,2L%3L<:2,__failed__
 ceil,1L%2L<:3L%4L,__failed__
 ceil,-inf,-inf
@@ -761,22 +761,22 @@
 floor,1,1
 floor,-1,-1
 floor,0,0
-floor,0.000,0.000
-floor,1.200,1.000
-floor,-1.200,-2.000
+floor,0.00,0.00
+floor,1.20,1.00
+floor,-1.20,-2.00
 floor,1L%3L,0L
 floor,(-1L)%4L,-1L
 floor,1+:2,__failed__
 floor,-1+:2,__failed__
 floor,1+:-2,__failed__
-floor,-1.200+:4.300,__failed__
-floor,1.200+:-4.300,__failed__
+floor,-1.20+:4.30,__failed__
+floor,1.20+:-4.30,__failed__
 floor,1L%2L+:1,__failed__
 floor,1L%2L+:3L%4L,__failed__
 floor,3<:1,__failed__
-floor,3<:-2.142,__failed__
-floor,3.000<:-3,__failed__
-floor,3.100<:2.500,__failed__
+floor,3<:-2.14,__failed__
+floor,3.00<:-3,__failed__
+floor,3.10<:2.50,__failed__
 floor,2L%3L<:2,__failed__
 floor,1L%2L<:3L%4L,__failed__
 floor,-inf,-inf
@@ -784,22 +784,22 @@
 round,1,1
 round,-1,-1
 round,0,0
-round,0.000,0.000
-round,1.200,1.000
-round,-1.200,-1.000
+round,0.00,0.00
+round,1.20,1.00
+round,-1.20,-1.00
 round,1L%3L,0L
 round,(-1L)%4L,0L
 round,1+:2,__failed__
 round,-1+:2,__failed__
 round,1+:-2,__failed__
-round,-1.200+:4.300,__failed__
-round,1.200+:-4.300,__failed__
+round,-1.20+:4.30,__failed__
+round,1.20+:-4.30,__failed__
 round,1L%2L+:1,__failed__
 round,1L%2L+:3L%4L,__failed__
 round,3<:1,__failed__
-round,3<:-2.142,__failed__
-round,3.000<:-3,__failed__
-round,3.100<:2.500,__failed__
+round,3<:-2.14,__failed__
+round,3.00<:-3,__failed__
+round,3.10<:2.50,__failed__
 round,2L%3L<:2,__failed__
 round,1L%2L<:3L%4L,__failed__
 round,-inf,-inf
@@ -807,22 +807,22 @@
 frac,1,0
 frac,-1,0
 frac,0,0
-frac,0.000,0.000
-frac,1.200,0.2000
-frac,-1.200,-0.2000
+frac,0.00,0.00
+frac,1.20,0.200
+frac,-1.20,-0.200
 frac,1L%3L,1L%3L
 frac,(-1L)%4L,(-1L)%4L
 frac,1+:2,__failed__
 frac,-1+:2,__failed__
 frac,1+:-2,__failed__
-frac,-1.200+:4.300,__failed__
-frac,1.200+:-4.300,__failed__
+frac,-1.20+:4.30,__failed__
+frac,1.20+:-4.30,__failed__
 frac,1L%2L+:1,__failed__
 frac,1L%2L+:3L%4L,__failed__
 frac,3<:1,__failed__
-frac,3<:-2.142,__failed__
-frac,3.000<:-3,__failed__
-frac,3.100<:2.500,__failed__
+frac,3<:-2.14,__failed__
+frac,3.00<:-3,__failed__
+frac,3.10<:2.50,__failed__
 frac,2L%3L<:2,__failed__
 frac,1L%2L<:3L%4L,__failed__
 frac,-inf,nan
@@ -830,22 +830,22 @@
 complexp,1,0
 complexp,-1,0
 complexp,0,0
-complexp,0.000,0
-complexp,1.200,0
-complexp,-1.200,0
+complexp,0.00,0
+complexp,1.20,0
+complexp,-1.20,0
 complexp,1L%3L,0
 complexp,(-1L)%4L,0
 complexp,1+:2,1
 complexp,-1+:2,1
 complexp,1+:-2,1
-complexp,-1.200+:4.300,1
-complexp,1.200+:-4.300,1
+complexp,-1.20+:4.30,1
+complexp,1.20+:-4.30,1
 complexp,1L%2L+:1,1
 complexp,1L%2L+:3L%4L,1
 complexp,3<:1,1
-complexp,3<:-2.142,1
-complexp,3.000<:-3,1
-complexp,3.100<:2.500,1
+complexp,3<:-2.14,1
+complexp,3.00<:-3,1
+complexp,3.10<:2.50,1
 complexp,2L%3L<:2,1
 complexp,1L%2L<:3L%4L,1
 complexp,-inf,0
@@ -853,22 +853,22 @@
 realp,1,1
 realp,-1,1
 realp,0,1
-realp,0.000,1
-realp,1.200,1
-realp,-1.200,1
+realp,0.00,1
+realp,1.20,1
+realp,-1.20,1
 realp,1L%3L,1
 realp,(-1L)%4L,1
 realp,1+:2,0
 realp,-1+:2,0
 realp,1+:-2,0
-realp,-1.200+:4.300,0
-realp,1.200+:-4.300,0
+realp,-1.20+:4.30,0
+realp,1.20+:-4.30,0
 realp,1L%2L+:1,0
 realp,1L%2L+:3L%4L,0
 realp,3<:1,0
-realp,3<:-2.142,0
-realp,3.000<:-3,0
-realp,3.100<:2.500,0
+realp,3<:-2.14,0
+realp,3.00<:-3,0
+realp,3.10<:2.50,0
 realp,2L%3L<:2,0
 realp,1L%2L<:3L%4L,0
 realp,-inf,1
@@ -876,22 +876,22 @@
 rationalp,1,0
 rationalp,-1,0
 rationalp,0,0
-rationalp,0.000,0
-rationalp,1.200,0
-rationalp,-1.200,0
+rationalp,0.00,0
+rationalp,1.20,0
+rationalp,-1.20,0
 rationalp,1L%3L,1
 rationalp,(-1L)%4L,1
 rationalp,1+:2,0
 rationalp,-1+:2,0
 rationalp,1+:-2,0
-rationalp,-1.200+:4.300,0
-rationalp,1.200+:-4.300,0
+rationalp,-1.20+:4.30,0
+rationalp,1.20+:-4.30,0
 rationalp,1L%2L+:1,0
 rationalp,1L%2L+:3L%4L,0
 rationalp,3<:1,0
-rationalp,3<:-2.142,0
-rationalp,3.000<:-3,0
-rationalp,3.100<:2.500,0
+rationalp,3<:-2.14,0
+rationalp,3.00<:-3,0
+rationalp,3.10<:2.50,0
 rationalp,2L%3L<:2,0
 rationalp,1L%2L<:3L%4L,0
 rationalp,-inf,0
@@ -899,22 +899,22 @@
 numberp,1,1
 numberp,-1,1
 numberp,0,1
-numberp,0.000,1
-numberp,1.200,1
-numberp,-1.200,1
+numberp,0.00,1
+numberp,1.20,1
+numberp,-1.20,1
 numberp,1L%3L,1
 numberp,(-1L)%4L,1
 numberp,1+:2,1
 numberp,-1+:2,1
 numberp,1+:-2,1
-numberp,-1.200+:4.300,1
-numberp,1.200+:-4.300,1
+numberp,-1.20+:4.30,1
+numberp,1.20+:-4.30,1
 numberp,1L%2L+:1,1
 numberp,1L%2L+:3L%4L,1
 numberp,3<:1,1
-numberp,3<:-2.142,1
-numberp,3.000<:-3,1
-numberp,3.100<:2.500,1
+numberp,3<:-2.14,1
+numberp,3.00<:-3,1
+numberp,3.10<:2.50,1
 numberp,2L%3L<:2,1
 numberp,1L%2L<:3L%4L,1
 numberp,-inf,1
@@ -922,22 +922,22 @@
 exactp,1,1
 exactp,-1,1
 exactp,0,1
-exactp,0.000,0
-exactp,1.200,0
-exactp,-1.200,0
+exactp,0.00,0
+exactp,1.20,0
+exactp,-1.20,0
 exactp,1L%3L,1
 exactp,(-1L)%4L,1
 exactp,1+:2,1
 exactp,-1+:2,1
 exactp,1+:-2,1
-exactp,-1.200+:4.300,0
-exactp,1.200+:-4.300,0
+exactp,-1.20+:4.30,0
+exactp,1.20+:-4.30,0
 exactp,1L%2L+:1,1
 exactp,1L%2L+:3L%4L,1
 exactp,3<:1,0
-exactp,3<:-2.142,0
-exactp,3.000<:-3,0
-exactp,3.100<:2.500,0
+exactp,3<:-2.14,0
+exactp,3.00<:-3,0
+exactp,3.10<:2.50,0
 exactp,2L%3L<:2,0
 exactp,1L%2L<:3L%4L,0
 exactp,-inf,0
@@ -945,22 +945,22 @@
 inexactp,1,0
 inexactp,-1,0
 inexactp,0,0
-inexactp,0.000,1
-inexactp,1.200,1
-inexactp,-1.200,1
+inexactp,0.00,1
+inexactp,1.20,1
+inexactp,-1.20,1
 inexactp,1L%3L,0
 inexactp,(-1L)%4L,0
 inexactp,1+:2,0
 inexactp,-1+:2,0
 inexactp,1+:-2,0
-inexactp,-1.200+:4.300,1
-inexactp,1.200+:-4.300,1
+inexactp,-1.20+:4.30,1
+inexactp,1.20+:-4.30,1
 inexactp,1L%2L+:1,0
 inexactp,1L%2L+:3L%4L,0
 inexactp,3<:1,1
-inexactp,3<:-2.142,1
-inexactp,3.000<:-3,1
-inexactp,3.100<:2.500,1
+inexactp,3<:-2.14,1
+inexactp,3.00<:-3,1
+inexactp,3.10<:2.50,1
 inexactp,2L%3L<:2,1
 inexactp,1L%2L<:3L%4L,1
 inexactp,-inf,1
@@ -968,22 +968,22 @@
 infp,1,0
 infp,-1,0
 infp,0,0
-infp,0.000,0
-infp,1.200,0
-infp,-1.200,0
+infp,0.00,0
+infp,1.20,0
+infp,-1.20,0
 infp,1L%3L,0
 infp,(-1L)%4L,0
 infp,1+:2,0
 infp,-1+:2,0
 infp,1+:-2,0
-infp,-1.200+:4.300,0
-infp,1.200+:-4.300,0
+infp,-1.20+:4.30,0
+infp,1.20+:-4.30,0
 infp,1L%2L+:1,0
 infp,1L%2L+:3L%4L,0
 infp,3<:1,0
-infp,3<:-2.142,0
-infp,3.000<:-3,0
-infp,3.100<:2.500,0
+infp,3<:-2.14,0
+infp,3.00<:-3,0
+infp,3.10<:2.50,0
 infp,2L%3L<:2,0
 infp,1L%2L<:3L%4L,0
 infp,-inf,1
@@ -991,22 +991,22 @@
 nanp,1,0
 nanp,-1,0
 nanp,0,0
-nanp,0.000,0
-nanp,1.200,0
-nanp,-1.200,0
+nanp,0.00,0
+nanp,1.20,0
+nanp,-1.20,0
 nanp,1L%3L,0
 nanp,(-1L)%4L,0
 nanp,1+:2,0
 nanp,-1+:2,0
 nanp,1+:-2,0
-nanp,-1.200+:4.300,0
-nanp,1.200+:-4.300,0
+nanp,-1.20+:4.30,0
+nanp,1.20+:-4.30,0
 nanp,1L%2L+:1,0
 nanp,1L%2L+:3L%4L,0
 nanp,3<:1,0
-nanp,3<:-2.142,0
-nanp,3.000<:-3,0
-nanp,3.100<:2.500,0
+nanp,3<:-2.14,0
+nanp,3.00<:-3,0
+nanp,3.10<:2.50,0
 nanp,2L%3L<:2,0
 nanp,1L%2L<:3L%4L,0
 nanp,-inf,0
@@ -1015,1080 +1015,1080 @@
 (+),1,1,2
 (+),1,-1,0
 (+),1,0,1
-(+),1,0.000,1.000
-(+),1,1.200,2.200
-(+),1,-1.200,-0.2000
+(+),1,0.00,1.00
+(+),1,1.20,2.20
+(+),1,-1.20,-0.200
 (+),1,1L%3L,4L%3L
 (+),1,(-1L)%4L,3L%4L
 (+),1,1+:2,2+:2
 (+),1,-1+:2,0+:2
 (+),1,1+:-2,2+:-2
-(+),1,-1.200+:4.300,-0.2000+:4.300
-(+),1,1.200+:-4.300,2.200+:-4.300
+(+),1,-1.20+:4.30,-0.200+:4.30
+(+),1,1.20+:-4.30,2.20+:-4.30
 (+),1,1L%2L+:1,3L%2L+:1
 (+),1,1L%2L+:3L%4L,3L%2L+:3L%4L
-(+),1,3<:1,2.621+:2.524
-(+),1,3<:-2.142,-0.6209+:-2.524
-(+),1,3.000<:-3,-1.970+:-0.4234
-(+),1,3.100<:2.500,-1.484+:1.855
-(+),1,2L%3L<:2,0.7226+:0.6062
-(+),1,1L%2L<:3L%4L,1.366+:0.3408
+(+),1,3<:1,2.62+:2.52
+(+),1,3<:-2.14,-0.621+:-2.52
+(+),1,3.00<:-3,-1.97+:-0.423
+(+),1,3.10<:2.50,-1.48+:1.86
+(+),1,2L%3L<:2,0.723+:0.606
+(+),1,1L%2L<:3L%4L,1.37+:0.341
 (+),1,-inf,-inf
 (+),1,nan,nan
 (+),-1,1,0
 (+),-1,-1,-2
 (+),-1,0,-1
-(+),-1,0.000,-1.000
-(+),-1,1.200,0.2000
-(+),-1,-1.200,-2.200
+(+),-1,0.00,-1.00
+(+),-1,1.20,0.200
+(+),-1,-1.20,-2.20
 (+),-1,1L%3L,(-2L)%3L
 (+),-1,(-1L)%4L,(-5L)%4L
 (+),-1,1+:2,0+:2
 (+),-1,-1+:2,-2+:2
 (+),-1,1+:-2,0+:-2
-(+),-1,-1.200+:4.300,-2.200+:4.300
-(+),-1,1.200+:-4.300,0.2000+:-4.300
+(+),-1,-1.20+:4.30,-2.20+:4.30
+(+),-1,1.20+:-4.30,0.200+:-4.30
 (+),-1,1L%2L+:1,(-1L)%2L+:1
 (+),-1,1L%2L+:3L%4L,(-1L)%2L+:3L%4L
-(+),-1,3<:1,0.6209+:2.524
-(+),-1,3<:-2.142,-2.621+:-2.524
-(+),-1,3.000<:-3,-3.970+:-0.4234
-(+),-1,3.100<:2.500,-3.484+:1.855
-(+),-1,2L%3L<:2,-1.277+:0.6062
-(+),-1,1L%2L<:3L%4L,-0.6342+:0.3408
+(+),-1,3<:1,0.621+:2.52
+(+),-1,3<:-2.14,-2.62+:-2.52
+(+),-1,3.00<:-3,-3.97+:-0.423
+(+),-1,3.10<:2.50,-3.48+:1.86
+(+),-1,2L%3L<:2,-1.28+:0.606
+(+),-1,1L%2L<:3L%4L,-0.634+:0.341
 (+),-1,-inf,-inf
 (+),-1,nan,nan
 (+),0,1,1
 (+),0,-1,-1
 (+),0,0,0
-(+),0,0.000,0.000
-(+),0,1.200,1.200
-(+),0,-1.200,-1.200
+(+),0,0.00,0.00
+(+),0,1.20,1.20
+(+),0,-1.20,-1.20
 (+),0,1L%3L,1L%3L
 (+),0,(-1L)%4L,(-1L)%4L
 (+),0,1+:2,1+:2
 (+),0,-1+:2,-1+:2
 (+),0,1+:-2,1+:-2
-(+),0,-1.200+:4.300,-1.200+:4.300
-(+),0,1.200+:-4.300,1.200+:-4.300
+(+),0,-1.20+:4.30,-1.20+:4.30
+(+),0,1.20+:-4.30,1.20+:-4.30
 (+),0,1L%2L+:1,1L%2L+:1
 (+),0,1L%2L+:3L%4L,1L%2L+:3L%4L
-(+),0,3<:1,1.621+:2.524
-(+),0,3<:-2.142,-1.621+:-2.524
-(+),0,3.000<:-3,-2.970+:-0.4234
-(+),0,3.100<:2.500,-2.484+:1.855
-(+),0,2L%3L<:2,-0.2774+:0.6062
-(+),0,1L%2L<:3L%4L,0.3658+:0.3408
+(+),0,3<:1,1.62+:2.52
+(+),0,3<:-2.14,-1.62+:-2.52
+(+),0,3.00<:-3,-2.97+:-0.423
+(+),0,3.10<:2.50,-2.48+:1.86
+(+),0,2L%3L<:2,-0.277+:0.606
+(+),0,1L%2L<:3L%4L,0.366+:0.341
 (+),0,-inf,-inf
 (+),0,nan,nan
-(+),0.000,1,1.000
-(+),0.000,-1,-1.000
-(+),0.000,0,0.000
-(+),0.000,0.000,0.000
-(+),0.000,1.200,1.200
-(+),0.000,-1.200,-1.200
-(+),0.000,1L%3L,0.3333
-(+),0.000,(-1L)%4L,-0.2500
-(+),0.000,1+:2,1.000+:2
-(+),0.000,-1+:2,-1.000+:2
-(+),0.000,1+:-2,1.000+:-2
-(+),0.000,-1.200+:4.300,-1.200+:4.300
-(+),0.000,1.200+:-4.300,1.200+:-4.300
-(+),0.000,1L%2L+:1,0.5000+:1
-(+),0.000,1L%2L+:3L%4L,0.5000+:3L%4L
-(+),0.000,3<:1,1.621+:2.524
-(+),0.000,3<:-2.142,-1.621+:-2.524
-(+),0.000,3.000<:-3,-2.970+:-0.4234
-(+),0.000,3.100<:2.500,-2.484+:1.855
-(+),0.000,2L%3L<:2,-0.2774+:0.6062
-(+),0.000,1L%2L<:3L%4L,0.3658+:0.3408
-(+),0.000,-inf,-inf
-(+),0.000,nan,nan
-(+),1.200,1,2.200
-(+),1.200,-1,0.2000
-(+),1.200,0,1.200
-(+),1.200,0.000,1.200
-(+),1.200,1.200,2.400
-(+),1.200,-1.200,0.000
-(+),1.200,1L%3L,1.533
-(+),1.200,(-1L)%4L,0.9500
-(+),1.200,1+:2,2.200+:2
-(+),1.200,-1+:2,0.2000+:2
-(+),1.200,1+:-2,2.200+:-2
-(+),1.200,-1.200+:4.300,0.000+:4.300
-(+),1.200,1.200+:-4.300,2.400+:-4.300
-(+),1.200,1L%2L+:1,1.700+:1
-(+),1.200,1L%2L+:3L%4L,1.700+:3L%4L
-(+),1.200,3<:1,2.821+:2.524
-(+),1.200,3<:-2.142,-0.4209+:-2.524
-(+),1.200,3.000<:-3,-1.770+:-0.4234
-(+),1.200,3.100<:2.500,-1.284+:1.855
-(+),1.200,2L%3L<:2,0.9226+:0.6062
-(+),1.200,1L%2L<:3L%4L,1.566+:0.3408
-(+),1.200,-inf,-inf
-(+),1.200,nan,nan
-(+),-1.200,1,-0.2000
-(+),-1.200,-1,-2.200
-(+),-1.200,0,-1.200
-(+),-1.200,0.000,-1.200
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+(+),3.00<:-3,nan,nan+:-0.423
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+(+),3.10<:2.50,-1,-3.48+:1.86
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+(+),3.10<:2.50,1.20,-1.28+:1.86
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+(+),3.10<:2.50,1+:-2,-1.48+:-0.145
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+(+),3.10<:2.50,1.20+:-4.30,-1.28+:-2.44
+(+),3.10<:2.50,1L%2L+:1,-1.98+:2.86
+(+),3.10<:2.50,1L%2L+:3L%4L,-1.98+:2.61
+(+),3.10<:2.50,3<:1,4.46<:1.77
+(+),3.10<:2.50,3<:-2.14,4.16<:-2.98
+(+),3.10<:2.50,3.00<:-3,5.64<:2.88
+(+),3.10<:2.50,3.10<:2.50,6.20<:2.50
+(+),3.10<:2.50,2L%3L<:2,3.70<:2.41
+(+),3.10<:2.50,1L%2L<:3L%4L,3.05<:2.34
+(+),3.10<:2.50,-inf,-inf+:1.86
+(+),3.10<:2.50,nan,nan+:1.86
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+(+),2L%3L<:2,-1,-1.28+:0.606
+(+),2L%3L<:2,0,-0.277+:0.606
+(+),2L%3L<:2,0.00,-0.277+:0.606
+(+),2L%3L<:2,1.20,0.923+:0.606
+(+),2L%3L<:2,-1.20,-1.48+:0.606
+(+),2L%3L<:2,1L%3L,0.0559+:0.606
+(+),2L%3L<:2,(-1L)%4L,-0.527+:0.606
+(+),2L%3L<:2,1+:2,0.723+:2.61
+(+),2L%3L<:2,-1+:2,-1.28+:2.61
+(+),2L%3L<:2,1+:-2,0.723+:-1.39
+(+),2L%3L<:2,-1.20+:4.30,-1.48+:4.91
+(+),2L%3L<:2,1.20+:-4.30,0.923+:-3.69
+(+),2L%3L<:2,1L%2L+:1,0.223+:1.61
+(+),2L%3L<:2,1L%2L+:3L%4L,0.223+:1.36
+(+),2L%3L<:2,3<:1,3.41<:1.17
+(+),2L%3L<:2,3<:-2.14,2.70<:-2.35
+(+),2L%3L<:2,3.00<:-3,3.25<:3.09
+(+),2L%3L<:2,3.10<:2.50,3.70<:2.41
+(+),2L%3L<:2,2L%3L<:2,1.33<:2.00
+(+),2L%3L<:2,1L%2L<:3L%4L,0.951<:1.48
+(+),2L%3L<:2,-inf,-inf+:0.606
+(+),2L%3L<:2,nan,nan+:0.606
+(+),1L%2L<:3L%4L,1,1.37+:0.341
+(+),1L%2L<:3L%4L,-1,-0.634+:0.341
+(+),1L%2L<:3L%4L,0,0.366+:0.341
+(+),1L%2L<:3L%4L,0.00,0.366+:0.341
+(+),1L%2L<:3L%4L,1.20,1.57+:0.341
+(+),1L%2L<:3L%4L,-1.20,-0.834+:0.341
+(+),1L%2L<:3L%4L,1L%3L,0.699+:0.341
+(+),1L%2L<:3L%4L,(-1L)%4L,0.116+:0.341
+(+),1L%2L<:3L%4L,1+:2,1.37+:2.34
+(+),1L%2L<:3L%4L,-1+:2,-0.634+:2.34
+(+),1L%2L<:3L%4L,1+:-2,1.37+:-1.66
+(+),1L%2L<:3L%4L,-1.20+:4.30,-0.834+:4.64
+(+),1L%2L<:3L%4L,1.20+:-4.30,1.57+:-3.96
+(+),1L%2L<:3L%4L,1L%2L+:1,0.866+:1.34
+(+),1L%2L<:3L%4L,1L%2L+:3L%4L,0.866+:1.09
+(+),1L%2L<:3L%4L,3<:1,3.49<:0.965
+(+),1L%2L<:3L%4L,3<:-2.14,2.52<:-2.09
+(+),1L%2L<:3L%4L,3.00<:-3,2.61<:-3.11
+(+),1L%2L<:3L%4L,3.10<:2.50,3.05<:2.34
+(+),1L%2L<:3L%4L,2L%3L<:2,0.951<:1.48
+(+),1L%2L<:3L%4L,1L%2L<:3L%4L,1.00<:0.750
+(+),1L%2L<:3L%4L,-inf,-inf+:0.341
+(+),1L%2L<:3L%4L,nan,nan+:0.341
 (+),-inf,1,-inf
 (+),-inf,-1,-inf
 (+),-inf,0,-inf
-(+),-inf,0.000,-inf
-(+),-inf,1.200,-inf
-(+),-inf,-1.200,-inf
+(+),-inf,0.00,-inf
+(+),-inf,1.20,-inf
+(+),-inf,-1.20,-inf
 (+),-inf,1L%3L,-inf
 (+),-inf,(-1L)%4L,-inf
 (+),-inf,1+:2,-inf+:2
 (+),-inf,-1+:2,-inf+:2
 (+),-inf,1+:-2,-inf+:-2
-(+),-inf,-1.200+:4.300,-inf+:4.300
-(+),-inf,1.200+:-4.300,-inf+:-4.300
+(+),-inf,-1.20+:4.30,-inf+:4.30
+(+),-inf,1.20+:-4.30,-inf+:-4.30
 (+),-inf,1L%2L+:1,-inf+:1
 (+),-inf,1L%2L+:3L%4L,-inf+:3L%4L
-(+),-inf,3<:1,-inf+:2.524
-(+),-inf,3<:-2.142,-inf+:-2.524
-(+),-inf,3.000<:-3,-inf+:-0.4234
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 (+),-inf,-inf,-inf
 (+),-inf,nan,nan
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 (+),nan,0,nan
-(+),nan,0.000,nan
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 (+),nan,1L%3L,nan
 (+),nan,(-1L)%4L,nan
 (+),nan,1+:2,nan+:2
 (+),nan,-1+:2,nan+:2
 (+),nan,1+:-2,nan+:-2
-(+),nan,-1.200+:4.300,nan+:4.300
-(+),nan,1.200+:-4.300,nan+:-4...
 
[truncated message content]

[pure-lang-svn] SF.net SVN: pure-lang:[572] pure/trunk/test/test020.log

From: <ag...@us...> - 2008-08-22 12:39:16

Revision: 572
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=572&view=rev
Author:   agraef
Date:     2008-08-22 12:39:25 +0000 (Fri, 22 Aug 2008)

Log Message:
-----------
Round results to 4 digits, to prevent failing tests due to small rounding discrepancies.

Modified Paths:
--------------
    pure/trunk/test/test020.log

Modified: pure/trunk/test/test020.log
===================================================================
--- pure/trunk/test/test020.log	2008-08-22 12:38:42 UTC (rev 571)
+++ pure/trunk/test/test020.log	2008-08-22 12:39:25 UTC (rev 572)
@@ -43,7 +43,7 @@
 check _/*0:001*/ _/*0:01*/ z/*0:1*/ = z/*0:1*/;
 format (f/*0:101*/,x/*0:1101*/,y/*0:11101*/,z/*0:1111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show y/*0:11101*/+","+show z/*0:1111*/;
 format (f/*0:101*/,x/*0:1101*/,z/*0:111*/) = str f/*0:101*/+","+show x/*0:1101*/+","+show z/*0:111*/;
-show x/*0:1*/::double = sprintf "%#0.6g" x/*0:1*/;
+show x/*0:1*/::double = sprintf "%#0.4g" x/*0:1*/;
 show (x/*0:101*/+:y/*0:11*/) = show x/*0:101*/+"+:"+show y/*0:11*/;
 show (x/*0:101*/<:y/*0:11*/) = show x/*0:101*/+"<:"+show y/*0:11*/;
 show x/*0:1*/ = str x/*0:1*/;
@@ -146,7 +146,7 @@
   state 12: #0 #1
 }
 {
-  rule #0: show x::double = sprintf "%#0.6g" x
+  rule #0: show x::double = sprintf "%#0.4g" x
   rule #1: show (x+:y) = show x+"+:"+show y
   rule #2: show (x<:y) = show x+"<:"+show y
   rule #3: show x = str x
@@ -183,393 +183,393 @@
   state 15: #2 #3
 }
 *** UNARY ***
-sqrt,1,1.00000
-sqrt,-1,0.00000+:1.00000
-sqrt,0,0.00000
-sqrt,0.00000,0.00000
-sqrt,1.20000,1.09545
-sqrt,-1.20000,0.00000+:1.09545
-sqrt,1L%3L,0.577350
-sqrt,(-1L)%4L,0.00000+:0.500000
-sqrt,1+:2,1.27202+:0.786151
-sqrt,-1+:2,0.786151+:1.27202
-sqrt,1+:-2,1.27202+:0.786151
-sqrt,-1.20000+:4.30000,1.27756+:1.68290
-sqrt,1.20000+:-4.30000,1.68290+:1.27756
-sqrt,1L%2L+:1,0.899454+:0.555893
-sqrt,1L%2L+:3L%4L,0.837075+:0.447989
-sqrt,3<:1,1.73205<:0.500000
-sqrt,3<:-2.14159,1.73205<:-1.07080
-sqrt,3.00000<:-3,1.73205<:-1.50000
-sqrt,3.10000<:2.50000,1.76068<:1.25000
-sqrt,2L%3L<:2,0.816497<:1.00000
-sqrt,1L%2L<:3L%4L,0.707107<:0.375000
-sqrt,-inf,0.00000+:inf
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+sqrt,-1,0.000+:1.000
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 sqrt,nan,nan
-sin,1,0.841471
-sin,-1,-0.841471
-sin,0,0.00000
-sin,0.00000,0.00000
-sin,1.20000,0.932039
-sin,-1.20000,-0.932039
-sin,1L%3L,0.327195
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-sin,1+:2,3.16578+:1.95960
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-sin,-1.20000+:4.30000,-34.3519+:13.3504
-sin,1.20000+:-4.30000,34.3519+:-13.3504
-sin,1L%2L+:1,0.739792+:1.03134
-sin,1L%2L+:3L%4L,0.620704+:0.721651
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-sin,2L%3L<:2,0.699834<:2.05499
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 sin,-inf,nan
 sin,nan,nan
-cos,1,0.540302
-cos,-1,0.540302
-cos,0,1.00000
-cos,0.00000,1.00000
-cos,1.20000,0.362358
-cos,-1.20000,0.362358
-cos,1L%3L,0.944957
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-cos,1+:-2,2.03272+:3.05190
-cos,-1.20000+:4.30000,13.3553+:34.3392
-cos,1.20000+:-4.30000,13.3553+:34.3392
-cos,1L%2L+:1,1.35418+:-0.563421
-cos,1L%2L+:3L%4L,1.13619+:-0.394240
-cos,3<:1,6.20193<:-1.62155
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-cos,3.00000<:-3,1.07751<:-3.07242
-cos,3.10000<:2.50000,3.21729<:2.50707
-cos,2L%3L<:2,1.15747<:0.152985
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 cos,-inf,nan
 cos,nan,nan
-tan,1,1.55741
-tan,-1,-1.55741
-tan,0,0.00000
-tan,0.00000,0.00000
-tan,1.20000,2.57215
-tan,-1.20000,-2.57215
-tan,1L%3L,0.346254
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-tan,1+:2,0.0338128+:1.01479
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-tan,1+:-2,0.0338128+:-1.01479
-tan,-1.20000+:4.30000,-0.000248781+:1.00027
-tan,1.20000+:-4.30000,0.000248781+:-1.00027
-tan,1L%2L+:1,0.195577+:0.842966
-tan,1L%2L+:3L%4L,0.290893+:0.736084
-tan,3<:1,1.01285<:1.57208
-tan,3<:-2.14159,1.01285<:-1.56951
-tan,3.00000<:-3,0.434671<:-1.23087
-tan,3.10000<:2.50000,0.987754<:1.52345
-tan,2L%3L<:2,0.604623<:1.90201
-tan,1L%2L<:3L%4L,0.500518<:0.833471
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+tan,1L%2L+:1,0.1956+:0.8430
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 tan,-inf,nan
 tan,nan,nan
-ln,1,0.00000
-ln,-1,0.00000+:3.14159
+ln,1,0.000
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 ln,0,-inf
-ln,0.00000,-inf
-ln,1.20000,0.182322
-ln,-1.20000,0.182322+:3.14159
-ln,1L%3L,-1.09861
-ln,(-1L)%4L,-1.38629+:3.14159
-ln,1+:2,0.804719+:1.10715
-ln,-1+:2,0.804719+:2.03444
-ln,1+:-2,0.804719+:-1.10715
-ln,-1.20000+:4.30000,1.49611+:1.84294
-ln,1.20000+:-4.30000,1.49611+:-1.29865
-ln,1L%2L+:1,0.111572+:1.10715
-ln,1L%2L+:3L%4L,-0.103820+:0.982794
-ln,3<:1,1.48558<:0.738443
-ln,3<:-2.14159,2.40694<:-1.09681
-ln,3.00000<:-3,3.19483<:-1.21976
-ln,3.10000<:2.50000,2.74410<:1.14581
-ln,2L%3L<:2,2.04069<:1.77082
-ln,1L%2L<:3L%4L,1.02125<:2.31682
-ln,-inf,inf+:3.14159
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+ln,1L%3L,-1.099
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+ln,1+:2,0.8047+:1.107
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+ln,1.200+:-4.300,1.496+:-1.299
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+ln,2L%3L<:2,2.041<:1.771
+ln,1L%2L<:3L%4L,1.021<:2.317
+ln,-inf,inf+:3.142
 ln,nan,nan
-log,1,0.00000
-log,-1,0.00000+:1.36438
+log,1,0.000
+log,-1,0.000+:1.364
 log,0,-inf
-log,0.00000,-inf
-log,1.20000,0.0791812
-log,-1.20000,0.0791812+:1.36438
-log,1L%3L,-0.477121
-log,(-1L)%4L,-0.602060+:1.36438
-log,1+:2,0.349485+:0.480829
-log,-1+:2,0.349485+:0.883548
-log,1+:-2,0.349485+:-0.480829
-log,-1.20000+:4.30000,0.649754+:0.800380
-log,1.20000+:-4.30000,0.649754+:-0.563997
-log,1L%2L+:1,0.0484550+:0.480829
-log,1L%2L+:3L%4L,-0.0450883+:0.426822
-log,3<:1,0.645179<:0.738443
-log,3<:-2.14159,1.04532<:-1.09681
-log,3.00000<:-3,1.38750<:-1.21976
-log,3.10000<:2.50000,1.19175<:1.14581
-log,2L%3L<:2,0.886259<:1.77082
-log,1L%2L<:3L%4L,0.443524<:2.31682
-log,-inf,inf+:1.36438
+log,0.000,-inf
+log,1.200,0.07918
+log,-1.200,0.07918+:1.364
+log,1L%3L,-0.4771
+log,(-1L)%4L,-0.6021+:1.364
+log,1+:2,0.3495+:0.4808
+log,-1+:2,0.3495+:0.8835
+log,1+:-2,0.3495+:-0.4808
+log,-1.200+:4.300,0.6498+:0.8004
+log,1.200+:-4.300,0.6498+:-0.5640
+log,1L%2L+:1,0.04846+:0.4808
+log,1L%2L+:3L%4L,-0.04509+:0.4268
+log,3<:1,0.6452<:0.7384
+log,3<:-2.142,1.045<:-1.097
+log,3.000<:-3,1.387<:-1.220
+log,3.100<:2.500,1.192<:1.146
+log,2L%3L<:2,0.8863<:1.771
+log,1L%2L<:3L%4L,0.4435<:2.317
+log,-inf,inf+:1.364
 log,nan,nan
-exp,1,2.71828
-exp,-1,0.367879
-exp,0,1.00000
-exp,0.00000,1.00000
-exp,1.20000,3.32012
-exp,-1.20000,0.301194
-exp,1L%3L,1.39561
-exp,(-1L)%4L,0.778801
-exp,1+:2,-1.13120+:2.47173
-exp,-1+:2,-0.153092+:0.334512
-exp,1+:-2,-1.13120+:-2.47173
-exp,-1.20000+:4.30000,-0.120718+:-0.275944
-exp,1.20000+:-4.30000,-1.33070+:3.04178
-exp,1L%2L+:1,0.890808+:1.38735
-exp,1L%2L+:3L%4L,1.20635+:1.12383
-exp,3<:1,5.05768<:2.52441
-exp,3<:-2.14159,0.197719<:-2.52441
-exp,3.00000<:-3,0.0513045<:-0.423360
-exp,3.10000<:2.50000,0.0834469<:1.85526
-exp,2L%3L<:2,0.757728<:0.606198
-exp,1L%2L<:3L%4L,1.44173<:0.340819
-exp,-inf,0.00000
+exp,1,2.718
+exp,-1,0.3679
+exp,0,1.000
+exp,0.000,1.000
+exp,1.200,3.320
+exp,-1.200,0.3012
+exp,1L%3L,1.396
+exp,(-1L)%4L,0.7788
+exp,1+:2,-1.131+:2.472
+exp,-1+:2,-0.1531+:0.3345
+exp,1+:-2,-1.131+:-2.472
+exp,-1.200+:4.300,-0.1207+:-0.2759
+exp,1.200+:-4.300,-1.331+:3.042
+exp,1L%2L+:1,0.8908+:1.387
+exp,1L%2L+:3L%4L,1.206+:1.124
+exp,3<:1,5.058<:2.524
+exp,3<:-2.142,0.1977<:-2.524
+exp,3.000<:-3,0.05130<:-0.4234
+exp,3.100<:2.500,0.08345<:1.855
+exp,2L%3L<:2,0.7577<:0.6062
+exp,1L%2L<:3L%4L,1.442<:0.3408
+exp,-inf,0.000
 exp,nan,nan
-atan,1,0.785398
-atan,-1,-0.785398
-atan,0,0.00000
-atan,0.00000,0.00000
-atan,1.20000,0.876058
-atan,-1.20000,-0.876058
-atan,1L%3L,0.321751
-atan,(-1L)%4L,-0.244979
-atan,1+:2,1.33897+:0.402359
-atan,-1+:2,-1.33897+:0.402359
-atan,1+:-2,1.33897+:-0.402359
-atan,-1.20000+:4.30000,-1.50774+:0.218343
-atan,1.20000+:-4.30000,1.50774+:-0.218343
-atan,1L%2L+:1,0.907887+:0.708303
-atan,1L%2L+:3L%4L,0.692724+:0.590214
-atan,3<:1,1.37829+:0.277919
-atan,3<:-2.14159,-1.37829+:-0.277919
-atan,3.00000<:-3,-1.25146+:-0.0424376
-atan,3.10000<:2.50000,-1.30917+:0.182562
-atan,2L%3L<:2,-0.392387+:0.609487
-atan,1L%2L<:3L%4L,0.386520+:0.305842
-atan,-inf,-1.57080
+atan,1,0.7854
+atan,-1,-0.7854
+atan,0,0.000
+atan,0.000,0.000
+atan,1.200,0.8761
+atan,-1.200,-0.8761
+atan,1L%3L,0.3218
+atan,(-1L)%4L,-0.2450
+atan,1+:2,1.339+:0.4024
+atan,-1+:2,-1.339+:0.4024
+atan,1+:-2,1.339+:-0.4024
+atan,-1.200+:4.300,-1.508+:0.2183
+atan,1.200+:-4.300,1.508+:-0.2183
+atan,1L%2L+:1,0.9079+:0.7083
+atan,1L%2L+:3L%4L,0.6927+:0.5902
+atan,3<:1,1.378+:0.2779
+atan,3<:-2.142,-1.378+:-0.2779
+atan,3.000<:-3,-1.251+:-0.04244
+atan,3.100<:2.500,-1.309+:0.1826
+atan,2L%3L<:2,-0.3924+:0.6095
+atan,1L%2L<:3L%4L,0.3865+:0.3058
+atan,-inf,-1.571
 atan,nan,nan
-asin,1,1.57080
-asin,-1,-1.57080
-asin,0,0.00000
-asin,0.00000,0.00000
-asin,1.20000,nan
-asin,-1.20000,nan
-asin,1L%3L,0.339837
-asin,(-1L)%4L,-0.252680
-asin,1+:2,1.46784+:-0.652507
-asin,-1+:2,-0.427079+:1.52857
-asin,1+:-2,0.427079+:-1.52857
-asin,-1.20000+:4.30000,-0.265853+:2.19988
-asin,1.20000+:-4.30000,0.265853+:-2.19988
-asin,1L%2L+:1,1.16425+:0.0607070
-asin,1L%2L+:3L%4L,1.07766+:0.0769965
-asin,3<:1,1.52626+:-1.15038
-asin,3<:-2.14159,-0.0164842+:-1.64677
-asin,3.00000<:-3,-0.191830+:0.118072
-asin,3.10000<:2.50000,-0.903747+:1.81806
-asin,2L%3L<:2,-0.237626+:0.589062
-asin,1L%2L<:3L%4L,0.640643+:0.197350
+asin,1,1.571
+asin,-1,-1.571
+asin,0,0.000
+asin,0.000,0.000
+asin,1.200,nan
+asin,-1.200,nan
+asin,1L%3L,0.3398
+asin,(-1L)%4L,-0.2527
+asin,1+:2,1.468+:-0.6525
+asin,-1+:2,-0.4271+:1.529
+asin,1+:-2,0.4271+:-1.529
+asin,-1.200+:4.300,-0.2659+:2.200
+asin,1.200+:-4.300,0.2659+:-2.200
+asin,1L%2L+:1,1.164+:0.06071
+asin,1L%2L+:3L%4L,1.078+:0.07700
+asin,3<:1,1.526+:-1.150
+asin,3<:-2.142,-0.01648+:-1.647
+asin,3.000<:-3,-0.1918+:0.1181
+asin,3.100<:2.500,-0.9037+:1.818
+asin,2L%3L<:2,-0.2376+:0.5891
+asin,1L%2L<:3L%4L,0.6406+:0.1974
 asin,-inf,nan
 asin,nan,nan
-acos,1,0.00000
-acos,-1,3.14159
-acos,0,1.57080
-acos,0.00000,1.57080
-acos,1.20000,nan
-acos,-1.20000,nan
-acos,1L%3L,1.23096
-acos,(-1L)%4L,1.82348
-acos,1+:2,1.14372+:-1.52857
-acos,-1+:2,1.59219+:-1.43469
-acos,1+:-2,0.102959+:-0.652507
-acos,-1.20000+:4.30000,1.57414+:-2.16412
-acos,1.20000+:-4.30000,0.0450679+:-0.864279
-acos,1L%2L+:1,1.22136+:-0.926133
-acos,1L%2L+:3L%4L,1.17252+:-0.743320
-acos,3<:1,1.02437+:-1.80401
-acos,3<:-2.14159,2.11723+:1.80401
-acos,3.00000<:-3,2.99156+:1.76406
-acos,3.10000<:2.50000,1.60425+:-1.33844
-acos,2L%3L<:2,1.64522+:-0.563332
-acos,1L%2L<:3L%4L,1.21974+:-0.355426
+acos,1,0.000
+acos,-1,3.142
+acos,0,1.571
+acos,0.000,1.571
+acos,1.200,nan
+acos,-1.200,nan
+acos,1L%3L,1.231
+acos,(-1L)%4L,1.823
+acos,1+:2,1.144+:-1.529
+acos,-1+:2,1.592+:-1.435
+acos,1+:-2,0.1030+:-0.6525
+acos,-1.200+:4.300,1.574+:-2.164
+acos,1.200+:-4.300,0.04507+:-0.8643
+acos,1L%2L+:1,1.221+:-0.9261
+acos,1L%2L+:3L%4L,1.173+:-0.7433
+acos,3<:1,1.024+:-1.804
+acos,3<:-2.142,2.117+:1.804
+acos,3.000<:-3,2.992+:1.764
+acos,3.100<:2.500,1.604+:-1.338
+acos,2L%3L<:2,1.645+:-0.5633
+acos,1L%2L<:3L%4L,1.220+:-0.3554
 acos,-inf,nan
 acos,nan,nan
-sinh,1,1.17520
-sinh,-1,-1.17520
-sinh,0,0.00000
-sinh,0.00000,0.00000
-sinh,1.20000,1.50946
-sinh,-1.20000,-1.50946
-sinh,1L%3L,0.339541
-sinh,(-1L)%4L,-0.252612
-sinh,1+:2,-0.489056+:1.40312
-sinh,-1+:2,0.489056+:1.40312
-sinh,1+:-2,-0.489056+:-1.40312
-sinh,-1.20000+:4.30000,0.604991+:-1.65886
-sinh,1.20000+:-4.30000,-0.604991+:1.65886
-sinh,1L%2L+:1,0.281549+:0.948865
-sinh,1L%2L+:3L%4L,0.381280+:0.768634
-sinh,3<:1,2.49795<:2.48705
-sinh,3<:-2.14159,2.49795<:-0.654546
-sinh,3.00000<:-3,9.72877<:-2.71626
-sinh,3.10000<:2.50000,6.02703<:1.29006
-sinh,2L%3L<:2,0.635276<:1.94284
-sinh,1L%2L<:3L%4L,0.501648<:0.791508
+sinh,1,1.175
+sinh,-1,-1.175
+sinh,0,0.000
+sinh,0.000,0.000
+sinh,1.200,1.509
+sinh,-1.200,-1.509
+sinh,1L%3L,0.3395
+sinh,(-1L)%4L,-0.2526
+sinh,1+:2,-0.4891+:1.403
+sinh,-1+:2,0.4891+:1.403
+sinh,1+:-2,-0.4891+:-1.403
+sinh,-1.200+:4.300,0.6050+:-1.659
+sinh,1.200+:-4.300,-0.6050+:1.659
+sinh,1L%2L+:1,0.2815+:0.9489
+sinh,1L%2L+:3L%4L,0.3813+:0.7686
+sinh,3<:1,2.498<:2.487
+sinh,3<:-2.142,2.498<:-0.6545
+sinh,3.000<:-3,9.729<:-2.716
+sinh,3.100<:2.500,6.027<:1.290
+sinh,2L%3L<:2,0.6353<:1.943
+sinh,1L%2L<:3L%4L,0.5016<:0.7915
 sinh,-inf,-inf
 sinh,nan,nan
-cosh,1,1.54308
-cosh,-1,1.54308
-cosh,0,1.00000
-cosh,0.00000,1.00000
-cosh,1.20000,1.81066
-cosh,-1.20000,1.81066
-cosh,1L%3L,1.05607
-cosh,(-1L)%4L,1.03141
-cosh,1+:2,-0.642148+:1.06861
-cosh,-1+:2,-0.642148+:-1.06861
-cosh,1+:-2,-0.642148+:-1.06861
-cosh,-1.20000+:4.30000,-0.725709+:1.38292
-cosh,1.20000+:-4.30000,-0.725709+:1.38292
-cosh,1L%2L+:1,0.609259+:0.438487
-cosh,1L%2L+:3L%4L,0.825071+:0.355199
-cosh,3<:1,2.56317<:2.56083
-cosh,3<:-2.14159,2.56317<:2.56083
-cosh,3.00000<:-3,9.76275<:0.421392
-cosh,3.10000<:2.50000,5.95673<:-1.85904
-cosh,2L%3L<:2,0.868534<:-0.185395
-cosh,1L%2L<:3L%4L,1.01400<:0.123622
+cosh,1,1.543
+cosh,-1,1.543
+cosh,0,1.000
+cosh,0.000,1.000
+cosh,1.200,1.811
+cosh,-1.200,1.811
+cosh,1L%3L,1.056
+cosh,(-1L)%4L,1.031
+cosh,1+:2,-0.6421+:1.069
+cosh,-1+:2,-0.6421+:-1.069
+cosh,1+:-2,-0.6421+:-1.069
+cosh,-1.200+:4.300,-0.7257+:1.383
+cosh,1.200+:-4.300,-0.7257+:1.383
+cosh,1L%2L+:1,0.6093+:0.4385
+cosh,1L%2L+:3L%4L,0.8251+:0.3552
+cosh,3<:1,2.563<:2.561
+cosh,3<:-2.142,2.563<:2.561
+cosh,3.000<:-3,9.763<:0.4214
+cosh,3.100<:2.500,5.957<:-1.859
+cosh,2L%3L<:2,0.8685<:-0.1854
+cosh,1L%2L<:3L%4L,1.014<:0.1236
 cosh,-inf,inf
 cosh,nan,nan
-tanh,1,0.761594
-tanh,-1,-0.761594
-tanh,0,0.00000
-tanh,0.00000,0.00000
-tanh,1.20000,0.833655
-tanh,-1.20000,-0.833655
-tanh,1L%3L,0.321513
-tanh,(-1L)%4L,-0.244919
-tanh,1+:2,1.16674+:-0.243458
-tanh,-1+:2,-1.16674+:-0.243458
-tanh,1+:-2,1.16674+:0.243458
-tanh,-1.20000+:4.30000,-1.12054+:0.150546
-tanh,1.20000+:-4.30000,1.12054+:-0.150546
-tanh,1L%2L+:1,1.04283+:0.806877
-tanh,1L%2L+:3L%4L,0.728212+:0.618096
-tanh,3<:1,0.974552<:-0.0737813
-tanh,3<:-2.14159,0.974552<:3.06781
-tanh,3.00000<:-3,0.996519<:-3.13765
-tanh,3.10000<:2.50000,1.01180<:-3.13409
-tanh,2L%3L<:2,0.731434<:2.12823
-tanh,1L%2L<:3L%4L,0.494723<:0.667886
-tanh,-inf,-1.00000
+tanh,1,0.7616
+tanh,-1,-0.7616
+tanh,0,0.000
+tanh,0.000,0.000
+tanh,1.200,0.8337
+tanh,-1.200,-0.8337
+tanh,1L%3L,0.3215
+tanh,(-1L)%4L,-0.2449
+tanh,1+:2,1.167+:-0.2435
+tanh,-1+:2,-1.167+:-0.2435
+tanh,1+:-2,1.167+:0.2435
+tanh,-1.200+:4.300,-1.121+:0.1505
+tanh,1.200+:-4.300,1.121+:-0.1505
+tanh,1L%2L+:1,1.043+:0.8069
+tanh,1L%2L+:3L%4L,0.7282+:0.6181
+tanh,3<:1,0.9746<:-0.07378
+tanh,3<:-2.142,0.9746<:3.068
+tanh,3.000<:-3,0.9965<:-3.138
+tanh,3.100<:2.500,1.012<:-3.134
+tanh,2L%3L<:2,0.7314<:2.128
+tanh,1L%2L<:3L%4L,0.4947<:0.6679
+tanh,-inf,-1.000
 tanh,nan,nan
-asinh,1,0.881374
-asinh,-1,-0.881374
-asinh,0,0.00000
-asinh,0.00000,0.00000
-asinh,1.20000,1.01597
-asinh,-1.20000,-1.01597
-asinh,1L%3L,0.327450
-asinh,(-1L)%4L,-0.247466
-asinh,1+:2,1.46935+:1.06344
-asinh,-1+:2,1.33515+:1.54138
-asinh,1+:-2,0.752047+:-0.0949377
-asinh,-1.20000+:4.30000,2.13903+:1.56713
-asinh,1.20000+:-4.30000,0.889372+:-0.0447415
-asinh,1L%2L+:1,0.732858+:0.895907
-asinh,1L%2L+:3L%4L,0.606335+:0.682204
-asinh,3<:1,1.78103+:0.973891
-asinh,3<:-2.14159,-1.78103+:-0.973891
-asinh,3.00000<:-3,-1.81750+:-0.134403
-asinh,3.10000<:2.50000,1.28655+:1.53475
-asinh,2L%3L<:2,-0.00714161+:0.938172
-asinh,1L%2L<:3L%4L,0.376885+:0.323586
+asinh,1,0.8814
+asinh,-1,-0.8814
+asinh,0,0.000
+asinh,0.000,0.000
+asinh,1.200,1.016
+asinh,-1.200,-1.016
+asinh,1L%3L,0.3275
+asinh,(-1L)%4L,-0.2475
+asinh,1+:2,1.469+:1.063
+asinh,-1+:2,1.335+:1.541
+asinh,1+:-2,0.7520+:-0.09494
+asinh,-1.200+:4.300,2.139+:1.567
+asinh,1.200+:-4.300,0.8894+:-0.04474
+asinh,1L%2L+:1,0.7329+:0.8959
+asinh,1L%2L+:3L%4L,0.6063+:0.6822
+asinh,3<:1,1.781+:0.9739
+asinh,3<:-2.142,-1.781+:-0.9739
+asinh,3.000<:-3,-1.817+:-0.1344
+asinh,3.100<:2.500,1.287+:1.535
+asinh,2L%3L<:2,-0.007142+:0.9382
+asinh,1L%2L<:3L%4L,0.3769+:0.3236
 asinh,-inf,-inf
 asinh,nan,nan
-acosh,1,0.00000
-acosh,-1,0.00000+:3.14159
-acosh,0,0.00000+:1.57080
-acosh,0.00000,0.00000+:1.57080
-acosh,1.20000,0.622363
-acosh,-1.20000,-0.622363+:3.14159
-acosh,1L%3L,0.00000+:1.23096
-acosh,(-1L)%4L,0.00000+:1.82348
-acosh,1+:2,1.52857+:1.14372
-acosh,-1+:2,1.43469+:1.59219
-acosh,1+:-2,0.652507+:0.102959
-acosh,-1.20000+:4.30000,2.16412+:1.57414
-acosh,1.20000+:-4.30000,0.864279+:0.0450679
-acosh,1L%2L+:1,0.926133+:1.22136
-acosh,1L%2L+:3L%4L,0.743320+:1.17252
-acosh,3<:1,1.80401+:1.02437
-acosh,3<:-2.14159,-1.80401+:2.11723
-acosh,3.00000<:-3,-1.76406+:2.99156
-acosh,3.10000<:2.50000,1.33844+:1.60425
-acosh,2L%3L<:2,0.563332+:1.64522
-acosh,1L%2L<:3L%4L,0.355426+:1.21974
+acosh,1,0.000
+acosh,-1,0.000+:3.142
+acosh,0,0.000+:1.571
+acosh,0.000,0.000+:1.571
+acosh,1.200,0.6224
+acosh,-1.200,-0.6224+:3.142
+acosh,1L%3L,0.000+:1.231
+acosh,(-1L)%4L,0.000+:1.823
+acosh,1+:2,1.529+:1.144
+acosh,-1+:2,1.435+:1.592
+acosh,1+:-2,0.6525+:0.1030
+acosh,-1.200+:4.300,2.164+:1.574
+acosh,1.200+:-4.300,0.8643+:0.04507
+acosh,1L%2L+:1,0.9261+:1.221
+acosh,1L%2L+:3L%4L,0.7433+:1.173
+acosh,3<:1,1.804+:1.024
+acosh,3<:-2.142,-1.804+:2.117
+acosh,3.000<:-3,-1.764+:2.992
+acosh,3.100<:2.500,1.338+:1.604
+acosh,2L%3L<:2,0.5633+:1.645
+acosh,1L%2L<:3L%4L,0.3554+:1.220
 acosh,-inf,nan+:nan
 acosh,nan,nan
 atanh,1,inf
 atanh,-1,-inf
-atanh,0,0.00000
-atanh,0.00000,0.00000
-atanh,1.20000,1.19895+:-1.57080
-atanh,-1.20000,-1.19895+:1.57080
-atanh,1L%3L,0.346574
-atanh,(-1L)%4L,-0.255413
-atanh,1+:2,0.173287+:1.17810
-atanh,-1+:2,-0.173287+:1.17810
-atanh,1+:-2,0.173287+:-1.17810
-atanh,-1.20000+:4.30000,-0.0575873+:1.35758
-atanh,1.20000+:-4.30000,0.0575873+:-1.35758
-atanh,1L%2L+:1,0.238878+:0.847576
-atanh,1L%2L+:3L%4L,0.310428+:0.723221
-atanh,3<:1,0.168156+:1.28931
-atanh,3<:-2.14159,-0.168156+:-1.28931
-atanh,3.00000<:-3,-0.341909+:-1.51807
-atanh,3.10000<:2.50000,-0.253850+:1.36734
-atanh,2L%3L<:2,-0.202451+:0.570560
-atanh,1L%2L<:3L%4L,0.335282+:0.368842
+atanh,0,0.000
+atanh,0.000,0.000
+atanh,1.200,1.199+:-1.571
+atanh,-1.200,-1.199+:1.571
+atanh,1L%3L,0.3466
+atanh,(-1L)%4L,-0.2554
+atanh,1+:2,0.1733+:1.178
+atanh,-1+:2,-0.1733+:1.178
+atanh,1+:-2,0.1733+:-1.178
+atanh,-1.200+:4.300,-0.05759+:1.358
+atanh,1.200+:-4.300,0.05759+:-1.358
+atanh,1L%2L+:1,0.2389+:0.8476
+atanh,1L%2L+:3L%4L,0.3104+:0.7232
+atanh,3<:1,0.1682+:1.289
+atanh,3<:-2.142,-0.1682+:-1.289
+atanh,3.000<:-3,-0.3419+:-1.518
+atanh,3.100<:2.500,-0.2539+:1.367
+atanh,2L%3L<:2,-0.2025+:0.5706
+atanh,1L%2L<:3L%4L,0.3353+:0.3688
 atanh,-inf,nan+:nan
 atanh,nan,nan
 abs,1,1
 abs,-1,1
 abs,0,0
-abs,0.00000,0.00000
-abs,1.20000,1.20000
-abs,-1.20000,1.20000
+abs,0.000,0.000
+abs,1.200,1.200
+abs,-1.200,1.200
 abs,1L%3L,1L%3L
 abs,(-1L)%4L,1L%4L
-abs,1+:2,2.23607
-abs,-1+:2,2.23607
-abs,1+:-2,2.23607
-abs,-1.20000+:4.30000,4.46430
-abs,1.20000+:-4.30000,4.46430
-abs,1L%2L+:1,1.11803
-abs,1L%2L+:3L%4L,0.901388
+abs,1+:2,2.236
+abs,-1+:2,2.236
+abs,1+:-2,2.236
+abs,-1.200+:4.300,4.464
+abs,1.200+:-4.300,4.464
+abs,1L%2L+:1,1.118
+abs,1L%2L+:3L%4L,0.9014
 abs,3<:1,3
-abs,3<:-2.14159,3
-abs,3.00000<:-3,3.00000
-abs,3.10000<:2.50000,3.10000
+abs,3<:-2.142,3
+abs,3.000<:-3,3.000
+abs,3.100<:2.500,3.100
 abs,2L%3L<:2,2L%3L
 abs,1L%2L<:3L%4L,1L%2L
 abs,-inf,inf
@@ -577,91 +577,91 @@
 re,1,1
 re,-1,-1
 re,0,0
-re,0.00000,0.00000
-re,1.20000,1.20000
-re,-1.20000,-1.20000
+re,0.000,0.000
+re,1.200,1.200
+re,-1.200,-1.200
 re,1L%3L,1L%3L
 re,(-1L)%4L,(-1L)%4L
 re,1+:2,1
 re,-1+:2,-1
 re,1+:-2,1
-re,-1.20000+:4.30000,-1.20000
-re,1.20000+:-4.30000,1.20000
+re,-1.200+:4.300,-1.200
+re,1.200+:-4.300,1.200
 re,1L%2L+:1,1L%2L
 re,1L%2L+:3L%4L,1L%2L
-re,3<:1,2.52441
-re,3<:-2.14159,-2.52441
-re,3.00000<:-3,-0.423360
-re,3.10000<:2.50000,1.85526
-re,2L%3L<:2,0.606198
-re,1L%2L<:3L%4L,0.340819
+re,3<:1,2.524
+re,3<:-2.142,-2.524
+re,3.000<:-3,-0.4234
+re,3.100<:2.500,1.855
+re,2L%3L<:2,0.6062
+re,1L%2L<:3L%4L,0.3408
 re,-inf,-inf
 re,nan,nan
 im,1,0
 im,-1,0
 im,0,0
-im,0.00000,0.00000
-im,1.20000,0.00000
-im,-1.20000,0.00000
+im,0.000,0.000
+im,1.200,0.000
+im,-1.200,0.000
 im,1L%3L,0L%1L
 im,(-1L)%4L,0L%1L
 im,1+:2,2
 im,-1+:2,2
 im,1+:-2,-2
-im,-1.20000+:4.30000,4.30000
-im,1.20000+:-4.30000,-4.30000
+im,-1.200+:4.300,4.300
+im,1.200+:-4.300,-4.300
 im,1L%2L+:1,1
 im,1L%2L+:3L%4L,3L%4L
-im,3<:1,1.62091
-im,3<:-2.14159,-1.62091
-im,3.00000<:-3,-2.96998
-im,3.10000<:2.50000,-2.48355
-im,2L%3L<:2,-0.277431
-im,1L%2L<:3L%4L,0.365844
-im,-inf,0.00000
-im,nan,0.00000
-arg,1,0.00000
-arg,-1,3.14159
-arg,0,0.00000
-arg,0.00000,0.00000
-arg,1.20000,0.00000
-arg,-1.20000,3.14159
-arg,1L%3L,0.00000
-arg,(-1L)%4L,3.14159
-arg,1+:2,1.10715
-arg,-1+:2,2.03444
-arg,1+:-2,-1.10715
-arg,-1.20000+:4.30000,1.84294
-arg,1.20000+:-4.30000,-1.29865
-arg,1L%2L+:1,1.10715
-arg,1L%2L+:3L%4L,0.982794
+im,3<:1,1.621
+im,3<:-2.142,-1.621
+im,3.000<:-3,-2.970
+im,3.100<:2.500,-2.484
+im,2L%3L<:2,-0.2774
+im,1L%2L<:3L%4L,0.3658
+im,-inf,0.000
+im,nan,0.000
+arg,1,0.000
+arg,-1,3.142
+arg,0,0.000
+arg,0.000,0.000
+arg,1.200,0.000
+arg,-1.200,3.142
+arg,1L%3L,0.000
+arg,(-1L)%4L,3.142
+arg,1+:2,1.107
+arg,-1+:2,2.034
+arg,1+:-2,-1.107
+arg,-1.200+:4.300,1.843
+arg,1.200+:-4.300,-1.299
+arg,1L%2L+:1,1.107
+arg,1L%2L+:3L%4L,0.9828
 arg,3<:1,1
-arg,3<:-2.14159,-2.14159
-arg,3.00000<:-3,-3
-arg,3.10000<:2.50000,2.50000
+arg,3<:-2.142,-2.142
+arg,3.000<:-3,-3
+arg,3.100<:2.500,2.500
 arg,2L%3L<:2,2
 arg,1L%2L<:3L%4L,3L%4L
-arg,-inf,3.14159
+arg,-inf,3.142
 arg,nan,nan
 conj,1,1
 conj,-1,-1
 conj,0,0
-conj,0.00000,0.00000
-conj,1.20000,1.20000
-conj,-1.20000,-1.20000
+conj,0.000,0.000
+conj,1.200,1.200
+conj,-1.200,-1.200
 conj,1L%3L,1L%3L
 conj,(-1L)%4L,(-1L)%4L
 conj,1+:2,1+:-2
 conj,-1+:2,-1+:-2
 conj,1+:-2,1+:2
-conj,-1.20000+:4.30000,-1.20000+:-4.30000
-conj,1.20000+:-4.30000,1.20000+:4.30000
+conj,-1.200+:4.300,-1.200+:-4.300
+conj,1.200+:-4.300,1.200+:4.300
 conj,1L%2L+:1,1L%2L+:-1
 conj,1L%2L+:3L%4L,1L%2L+:(-3L)%4L
 conj,3<:1,3<:-1
-conj,3<:-2.14159,3<:2.14159
-conj,3.00000<:-3,3.00000<:3
-conj,3.10000<:2.50000,3.10000<:-2.50000
+conj,3<:-2.142,3<:2.142
+conj,3.000<:-3,3.000<:3
+conj,3.100<:2.500,3.100<:-2.500
 conj,2L%3L<:2,2L%3L<:-2
 conj,1L%2L<:3L%4L,1L%2L<:(-3L)%4L
 conj,-inf,-inf
@@ -669,68 +669,68 @@
 rect,1,1+:0
 rect,-1,-1+:0
 rect,0,0+:0
-rect,0.00000,0.00000+:0.00000
-rect,1.20000,1.20000+:0.00000
-rect,-1.20000,-1.20000+:0.00000
+rect,0.000,0.000+:0.000
+rect,1.200,1.200+:0.000
+rect,-1.200,-1.200+:0.000
 rect,1L%3L,1L%3L+:0L%1L
 rect,(-1L)%4L,(-1L)%4L+:0L%1L
 rect,1+:2,1+:2
 rect,-1+:2,-1+:2
 rect,1+:-2,1+:-2
-rect,-1.20000+:4.30000,-1.20000+:4.30000
-rect,1.20000+:-4.30000,1.20000+:-4.30000
+rect,-1.200+:4.300,-1.200+:4.300
+rect,1.200+:-4.300,1.200+:-4.300
 rect,1L%2L+:1,1L%2L+:1
 rect,1L%2L+:3L%4L,1L%2L+:3L%4L
-rect,3<:1,1.62091+:2.52441
-rect,3<:-2.14159,-1.62091+:-2.52441
-rect,3.00000<:-3,-2.96998+:-0.423360
-rect,3.10000<:2.50000,-2.48355+:1.85526
-rect,2L%3L<:2,-0.277431+:0.606198
-rect,1L%2L<:3L%4L,0.365844+:0.340819
-rect,-inf,-inf+:0.00000
-rect,nan,nan+:0.00000
+rect,3<:1,1.621+:2.524
+rect,3<:-2.142,-1.621+:-2.524
+rect,3.000<:-3,-2.970+:-0.4234
+rect,3.100<:2.500,-2.484+:1.855
+rect,2L%3L<:2,-0.2774+:0.6062
+rect,1L%2L<:3L%4L,0.3658+:0.3408
+rect,-inf,-inf+:0.000
+rect,nan,nan+:0.000
 polar,1,1<:0
-polar,-1,1<:3.14159
+polar,-1,1<:3.142
 polar,0,0<:0
-polar,0.00000,0.00000<:0.00000
-polar,1.20000,1.20000<:0.00000
-polar,-1.20000,1.20000<:3.14159
+polar,0.000,0.000<:0.000
+polar,1.200,1.200<:0.000
+polar,-1.200,1.200<:3.142
 polar,1L%3L,1L%3L<:0L%1L
-polar,(-1L)%4L,1L%4L<:3.14159
-polar,1+:2,2.23607<:1.10715
-polar,-1+:2,2.23607<:2.03444
-polar,1+:-2,2.23607<:-1.10715
-polar,-1.20000+:4.30000,4.46430<:1.84294
-polar,1.20000+:-4.30000,4.46430<:-1.29865
-polar,1L%2L+:1,1.11803<:1.10715
-polar,1L%2L+:3L%4L,0.901388<:0.982794
+polar,(-1L)%4L,1L%4L<:3.142
+polar,1+:2,2.236<:1.107
+polar,-1+:2,2.236<:2.034
+polar,1+:-2,2.236<:-1.107
+polar,-1.200+:4.300,4.464<:1.843
+polar,1.200+:-4.300,4.464<:-1.299
+polar,1L%2L+:1,1.118<:1.107
+polar,1L%2L+:3L%4L,0.9014<:0.9828
 polar,3<:1,3<:1
-polar,3<:-2.14159,3<:-2.14159
-polar,3.00000<:-3,3.00000<:-3
-polar,3.10000<:2.50000,3.10000<:2.50000
+polar,3<:-2.142,3<:-2.142
+polar,3.000<:-3,3.000<:-3
+polar,3.100<:2.500,3.100<:2.500
 polar,2L%3L<:2,2L%3L<:2
 polar,1L%2L<:3L%4L,1L%2L<:3L%4L
-polar,-inf,inf<:3.14159
-polar,nan,nan<:0.00000
-cis,1,0.540302+:0.841471
-cis,-1,0.540302+:-0.841471
-cis,0,1.00000+:0.00000
-cis,0.00000,1.00000+:0.00000
-cis,1.20000,0.362358+:0.932039
-cis,-1.20000,0.362358+:-0.932039
-cis,1L%3L,0.944957+:0.327195
-cis,(-1L)%4L,0.968912+:-0.247404
+polar,-inf,inf<:3.142
+polar,nan,nan<:0.000
+cis,1,0.5403+:0.8415
+cis,-1,0.5403+:-0.8415
+cis,0,1.000+:0.000
+cis,0.000,1.000+:0.000
+cis,1.200,0.3624+:0.9320
+cis,-1.200,0.3624+:-0.9320
+cis,1L%3L,0.9450+:0.3272
+cis,(-1L)%4L,0.9689+:-0.2474
 cis,1+:2,__failed__
 cis,-1+:2,__failed__
 cis,1+:-2,__failed__
-cis,-1.20000+:4.30000,__failed__
-cis,1.20000+:-4.30000,__failed__
+cis,-1.200+:4.300,__failed__
+cis,1.200+:-4.300,__failed__
 cis,1L%2L+:1,__failed__
 cis,1L%2L+:3L%4L,__failed__
 cis,3<:1,__failed__
-cis,3<:-2.14159,__failed__
-cis,3.00000<:-3,__failed__
-cis,3.10000<:2.50000,__failed__
+cis,3<:-2.142,__failed__
+cis,3.000<:-3,__failed__
+cis,3.100<:2.500,__failed__
 cis,2L%3L<:2,__failed__
 cis,1L%2L<:3L%4L,__failed__
 cis,-inf,nan+:nan
@@ -738,22 +738,22 @@
 ceil,1,1
 ceil,-1,-1
 ceil,0,0
-ceil,0.00000,0.00000
-ceil,1.20000,2.00000
-ceil,-1.20000,-1.00000
+ceil,0.000,0.000
+ceil,1.200,2.000
+ceil,-1.200,-1.000
 ceil,1L%3L,1L
 ceil,(-1L)%4L,0L
 ceil,1+:2,__failed__
 ceil,-1+:2,__failed__
 ceil,1+:-2,__failed__
-ceil,-1.20000+:4.30000,__failed__
-ceil,1.20000+:-4.30000,__failed__
+ceil,-1.200+:4.300,__failed__
+ceil,1.200+:-4.300,__failed__
 ceil,1L%2L+:1,__failed__
 ceil,1L%2L+:3L%4L,__failed__
 ceil,3<:1,__failed__
-ceil,3<:-2.14159,__failed__
-ceil,3.00000<:-3,__failed__
-ceil,3.10000<:2.50000,__failed__
+ceil,3<:-2.142,__failed__
+ceil,3.000<:-3,__failed__
+ceil,3.100<:2.500,__failed__
 ceil,2L%3L<:2,__failed__
 ceil,1L%2L<:3L%4L,__failed__
 ceil,-inf,-inf
@@ -761,22 +761,22 @@
 floor,1,1
 floor,-1,-1
 floor,0,0
-floor,0.00000,0.00000
-floor,1.20000,1.00000
-floor,-1.20000,-2.00000
+floor,0.000,0.000
+floor,1.200,1.000
+floor,-1.200,-2.000
 floor,1L%3L,0L
 floor,(-1L)%4L,-1L
 floor,1+:2,__failed__
 floor,-1+:2,__failed__
 floor,1+:-2,__failed__
-floor,-1.20000+:4.30000,__failed__
-floor,1.20000+:-4.30000,__failed__
+floor,-1.200+:4.300,__failed__
+floor,1.200+:-4.300,__failed__
 floor,1L%2L+:1,__failed__
 floor,1L%2L+:3L%4L,__failed__
 floor,3<:1,__failed__
-floor,3<:-2.14159,__failed__
-floor,3.00000<:-3,__failed__
-floor,3.10000<:2.50000,__failed__
+floor,3<:-2.142,__failed__
+floor,3.000<:-3,__failed__
+floor,3.100<:2.500,__failed__
 floor,2L%3L<:2,__failed__
 floor,1L%2L<:3L%4L,__failed__
 floor,-inf,-inf
@@ -784,22 +784,22 @@
 round,1,1
 round,-1,-1
 round,0,0
-round,0.00000,0.00000
-round,1.20000,1.00000
-round,-1.20000,-1.00000
+round,0.000,0.000
+round,1.200,1.000
+round,-1.200,-1.000
 round,1L%3L,0L
 round,(-1L)%4L,0L
 round,1+:2,__failed__
 round,-1+:2,__failed__
 round,1+:-2,__failed__
-round,-1.20000+:4.30000,__failed__
-round,1.20000+:-4.30000,__failed__
+round,-1.200+:4.300,__failed__
+round,1.200+:-4.300,__failed__
 round,1L%2L+:1,__failed__
 round,1L%2L+:3L%4L,__failed__
 round,3<:1,__failed__
-round,3<:-2.14159,__failed__
-round,3.00000<:-3,__failed__
-round,3.10000<:2.50000,__failed__
+round,3<:-2.142,__failed__
+round,3.000<:-3,__failed__
+round,3.100<:2.500,__failed__
 round,2L%3L<:2,__failed__
 round,1L%2L<:3L%4L,__failed__
 round,-inf,-inf
@@ -807,22 +807,22 @@
 frac,1,0
 frac,-1,0
 frac,0,0
-frac,0.00000,0.00000
-frac,1.20000,0.200000
-frac,-1.20000,-0.200000
+frac,0.000,0.000
+frac,1.200,0.2000
+frac,-1.200,-0.2000
 frac,1L%3L,1L%3L
 frac,(-1L)%4L,(-1L)%4L
 frac,1+:2,__failed__
 frac,-1+:2,__failed__
 frac,1+:-2,__failed__
-frac,-1.20000+:4.30000,__failed__
-frac,1.20000+:-4.30000,__failed__
+frac,-1.200+:4.300,__failed__
+frac,1.200+:-4.300,__failed__
 frac,1L%2L+:1,__failed__
 frac,1L%2L+:3L%4L,__failed__
 frac,3<:1,__failed__
-frac,3<:-2.14159,__failed__
-frac,3.00000<:-3,__failed__
-frac,3.10000<:2.50000,__failed__
+frac,3<:-2.142,__failed__
+frac,3.000<:-3,__failed__
+frac,3.100<:2.500,__failed__
 frac,2L%3L<:2,__failed__
 frac,1L%2L<:3L%4L,__failed__
 frac,-inf,nan
@@ -830,22 +830,22 @@
 complexp,1,0
 complexp,-1,0
 complexp,0,0
-complexp,0.00000,0
-complexp,1.20000,0
-complexp,-1.20000,0
+complexp,0.000,0
+complexp,1.200,0
+complexp,-1.200,0
 complexp,1L%3L,0
 complexp,(-1L)%4L,0
 complexp,1+:2,1
 complexp,-1+:2,1
 complexp,1+:-2,1
-complexp,-1.20000+:4.30000,1
-complexp,1.20000+:-4.30000,1
+complexp,-1.200+:4.300,1
+complexp,1.200+:-4.300,1
 complexp,1L%2L+:1,1
 complexp,1L%2L+:3L%4L,1
 complexp,3<:1,1
-complexp,3<:-2.14159,1
-complexp,3.00000<:-3,1
-complexp,3.10000<:2.50000,1
+complexp,3<:-2.142,1
+complexp,3.000<:-3,1
+complexp,3.100<:2.500,1
 complexp,2L%3L<:2,1
 complexp,1L%2L<:3L%4L,1
 complexp,-inf,0
@@ -853,22 +853,22 @@
 realp,1,1
 realp,-1,1
 realp,0,1
-realp,0.00000,1
-realp,1.20000,1
-realp,-1.20000,1
+realp,0.000,1
+realp,1.200,1
+realp,-1.200,1
 realp,1L%3L,1
 realp,(-1L)%4L,1
 realp,1+:2,0
 realp,-1+:2,0
 realp,1+:-2,0
-realp,-1.20000+:4.30000,0
-realp,1.20000+:-4.30000,0
+realp,-1.200+:4.300,0
+realp,1.200+:-4.300,0
 realp,1L%2L+:1,0
 realp,1L%2L+:3L%4L,0
 realp,3<:1,0
-realp,3<:-2.14159,0
-realp,3.00000<:-3,0
-realp,3.10000<:2.50000,0
+realp,3<:-2.142,0
+realp,3.000<:-3,0
+realp,3.100<:2.500,0
 realp,2L%3L<:2,0
 realp,1L%2L<:3L%4L,0
 realp,-inf,1
@@ -876,22 +876,22 @@
 rationalp,1,0
 rationalp,-1,0
 rationalp,0,0
-rationalp,0.00000,0
-rationalp,1.20000,0
-rationalp,-1.20000,0
+rationalp,0.000,0
+rationalp,1.200,0
+rationalp,-1.200,0
 rationalp,1L%3L,1
 rationalp,(-1L)%4L,1
 rationalp,1+:2,0
 rationalp,-1+:2,0
 rationalp,1+:-2,0
-rationalp,-1.20000+:4.30000,0
-rationalp,1.20000+:-4.30000,0
+rationalp,-1.200+:4.300,0
+rationalp,1.200+:-4.300,0
 rationalp,1L%2L+:1,0
 rationalp,1L%2L+:3L%4L,0
 rationalp,3<:1,0
-rationalp,3<:-2.14159,0
-rationalp,3.00000<:-3,0
-rationalp,3.10000<:2.50000,0
+rationalp,3<:-2.142,0
+rationalp,3.000<:-3,0
+rationalp,3.100<:2.500,0
 rationalp,2L%3L<:2,0
 rationalp,1L%2L<:3L%4L,0
 rationalp,-inf,0
@@ -899,22 +899,22 @@
 numberp,1,1
 numberp,-1,1
 numberp,0,1
-numberp,0.00000,1
-numberp,1.20000,1
-numberp,-1.20000,1
+numberp,0.000,1
+numberp,1.200,1
+numberp,-1.200,1
 numberp,1L%3L,1
 numberp,(-1L)%4L,1
 numberp,1+:2,1
 numberp,-1+:2,1
 numberp,1+:-2,1
-numberp,-1.20000+:4.30000,1
-numberp,1.20000+:-4.30000,1
+numberp,-1.200+:4.300,1
+numberp,1.200+:-4.300,1
 numberp,1L%2L+:1,1
 numberp,1L%2L+:3L%4L,1
 numberp,3<:1,1
-numberp,3<:-2.14159,1
-numberp,3.00000<:-3,1
-numberp,3.10000<:2.50000,1
+numberp,3<:-2.142,1
+numberp,3.000<:-3,1
+numberp,3.100<:2.500,1
 numberp,2L%3L<:2,1
 numberp,1L%2L<:3L%4L,1
 numberp,-inf,1
@@ -922,22 +922,22 @@
 exactp,1,1
 exactp,-1,1
 exactp,0,1
-exactp,0.00000,0
-exactp,1.20000,0
-exactp,-1.20000,0
+exactp,0.000,0
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+exactp,-1.200,0
 exactp,1L%3L,1
 exactp,(-1L)%4L,1
 exactp,1+:2,1
 exactp,-1+:2,1
 exactp,1+:-2,1
-exactp,-1.20000+:4.30000,0
-exactp,1.20000+:-4.30000,0
+exactp,-1.200+:4.300,0
+exactp,1.200+:-4.300,0
 exactp,1L%2L+:1,1
 exactp,1L%2L+:3L%4L,1
 exactp,3<:1,0
-exactp,3<:-2.14159,0
-exactp,3.00000<:-3,0
-exactp,3.10000<:2.50000,0
+exactp,3<:-2.142,0
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+exactp,3.100<:2.500,0
 exactp,2L%3L<:2,0
 exactp,1L%2L<:3L%4L,0
 exactp,-inf,0
@@ -945,22 +945,22 @@
 inexactp,1,0
 inexactp,-1,0
 inexactp,0,0
-inexactp,0.00000,1
-inexactp,1.20000,1
-inexactp,-1.20000,1
+inexactp,0.000,1
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+inexactp,-1.200,1
 inexactp,1L%3L,0
 inexactp,(-1L)%4L,0
 inexactp,1+:2,0
 inexactp,-1+:2,0
 inexactp,1+:-2,0
-inexactp,-1.20000+:4.30000,1
-inexactp,1.20000+:-4.30000,1
+inexactp,-1.200+:4.300,1
+inexactp,1.200+:-4.300,1
 inexactp,1L%2L+:1,0
 inexactp,1L%2L+:3L%4L,0
 inexactp,3<:1,1
-inexactp,3<:-2.14159,1
-inexactp,3.00000<:-3,1
-inexactp,3.10000<:2.50000,1
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+inexactp,3.100<:2.500,1
 inexactp,2L%3L<:2,1
 inexactp,1L%2L<:3L%4L,1
 inexactp,-inf,1
@@ -968,22 +968,22 @@
 infp,1,0
 infp,-1,0
 infp,0,0
-infp,0.00000,0
-infp,1.20000,0
-infp,-1.20000,0
+infp,0.000,0
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 infp,1L%3L,0
 infp,(-1L)%4L,0
 infp,1+:2,0
 infp,-1+:2,0
 infp,1+:-2,0
-infp,-1.20000+:4.30000,0
-infp,1.20000+:-4.30000,0
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 infp,1L%2L+:1,0
 infp,1L%2L+:3L%4L,0
 infp,3<:1,0
-infp,3<:-2.14159,0
-infp,3.00000<:-3,0
-infp,3.10000<:2.50000,0
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+infp,3.100<:2.500,0
 infp,2L%3L<:2,0
 infp,1L%2L<:3L%4L,0
 infp,-inf,1
@@ -991,22 +991,22 @@
 nanp,1,0
 nanp,-1,0
 nanp,0,0
-nanp,0.00000,0
-nanp,1.20000,0
-nanp,-1.20000,0
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 nanp,1L%3L,0
 nanp,(-1L)%4L,0
 nanp,1+:2,0
 nanp,-1+:2,0
 nanp,1+:-2,0
-nanp,-1.20000+:4.30000,0
-nanp,1.20000+:-4.30000,0
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 nanp,1L%2L+:1,0
 nanp,1L%2L+:3L%4L,0
 nanp,3<:1,0
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-nanp,3.00000<:-3,0
-nanp,3.10000<:2.50000,0
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 nanp,2L%3L<:2,0
 nanp,1L%2L<:3L%4L,0
 nanp,-inf,0
@@ -1015,1080 +1015,1080 @@
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 (+),1,-1,0
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[truncated message content]

[pure-lang-svn] SF.net SVN: pure-lang:[571] pure/trunk/test/test020.pure

From: <ag...@us...> - 2008-08-22 12:38:32

Revision: 571
          http://pure-lang.svn.sourceforge.net/pure-lang/?rev=571&view=rev
Author:   agraef
Date:     2008-08-22 12:38:42 +0000 (Fri, 22 Aug 2008)

Log Message:
-----------
Round results to 4 digits, to prevent failing tests due to small rounding discrepancies.

Modified Paths:
--------------
    pure/trunk/test/test020.pure

Modified: pure/trunk/test/test020.pure
===================================================================
--- pure/trunk/test/test020.pure	2008-08-22 12:32:31 UTC (rev 570)
+++ pure/trunk/test/test020.pure	2008-08-22 12:38:42 UTC (rev 571)
@@ -23,7 +23,7 @@
 
 /* This will print out each operation, arguments and result as a single
    line. Exceptions are flagged with '__error__', evaluation failures with
-   '__failed__'. Floating point values are rounded in the output to 6
+   '__failed__'. Floating point values are rounded in the output to 4
    significant digits, to prevent 'make check' from failing due to small
    rounding discrepancies. */
 
@@ -36,7 +36,7 @@
 format (f,x,y,z) = str f+","+show x+","+show y+","+show z;
 format (f,x,z) = str f+","+show x+","+show z;
 
-show x::double = sprintf "%#0.6g" x;
+show x::double = sprintf "%#0.4g" x;
 show (x+:y) = show x+"+:"+show y;
 show (x<:y) = show x+"<:"+show y;
 show x = str x otherwise;


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