diff options
author | dos-reis <gdr@axiomatics.org> | 2009-06-01 06:10:07 +0000 |
---|---|---|
committer | dos-reis <gdr@axiomatics.org> | 2009-06-01 06:10:07 +0000 |
commit | 78dd44d657fa65a8029d996aaf7ac05d2133f509 (patch) | |
tree | d5e4072febd7a48afbc1d2c48c2be4f4a3539638 /src/algebra/strap | |
parent | 803d7a62fb91bb4083a0aaaaa20749574292e967 (diff) | |
download | open-axiom-78dd44d657fa65a8029d996aaf7ac05d2133f509.tar.gz |
* interp/compiler.boot (compGreaterThan): New. Compile
greater-than expressions.
* interp/parse.boot (parseGreaterThan): Remove.
* algebra/data.spad.pamphlet (Byte): Implement all comparison
functions.
* algebra/integer.spad.pamphlet (Integer): Likewise.
* algebra/sf.spad.pamphlet (DoubleFloat): Likewise.
* algebra/si.spad.pamphlet (SingleInteger): Likewise.
* algebra/string.spad.pamphlet (Character): Likewise.
Diffstat (limited to 'src/algebra/strap')
-rw-r--r-- | src/algebra/strap/CHAR.lsp | 222 | ||||
-rw-r--r-- | src/algebra/strap/DFLOAT.lsp | 826 | ||||
-rw-r--r-- | src/algebra/strap/INT.lsp | 359 | ||||
-rw-r--r-- | src/algebra/strap/SINT.lsp | 388 |
4 files changed, 943 insertions, 852 deletions
diff --git a/src/algebra/strap/CHAR.lsp b/src/algebra/strap/CHAR.lsp index 6e24716c..7bd2bfbe 100644 --- a/src/algebra/strap/CHAR.lsp +++ b/src/algebra/strap/CHAR.lsp @@ -11,79 +11,94 @@ (PUT '|CHAR;<;2$B;2| '|SPADreplace| 'CHAR<) +(DECLAIM (FTYPE (FUNCTION (|%Char| |%Char| |%Shell|) |%Boolean|) + |CHAR;>;2$B;3|)) + +(PUT '|CHAR;>;2$B;3| '|SPADreplace| 'CHAR>) + +(DECLAIM (FTYPE (FUNCTION (|%Char| |%Char| |%Shell|) |%Boolean|) + |CHAR;<=;2$B;4|)) + +(PUT '|CHAR;<=;2$B;4| '|SPADreplace| 'CHAR<=) + +(DECLAIM (FTYPE (FUNCTION (|%Char| |%Char| |%Shell|) |%Boolean|) + |CHAR;>=;2$B;5|)) + +(PUT '|CHAR;>=;2$B;5| '|SPADreplace| 'CHAR>=) + (DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 0)) - |CHAR;size;Nni;3|)) + |CHAR;size;Nni;6|)) -(PUT '|CHAR;size;Nni;3| '|SPADreplace| '(XLAM NIL 256)) +(PUT '|CHAR;size;Nni;6| '|SPADreplace| '(XLAM NIL 256)) (DECLAIM (FTYPE (FUNCTION ((|%IntegerSection| 1) |%Shell|) |%Char|) - |CHAR;index;Pi$;4|)) + |CHAR;index;Pi$;7|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) (|%IntegerSection| 1)) - |CHAR;lookup;$Pi;5|)) + |CHAR;lookup;$Pi;8|)) (DECLAIM (FTYPE (FUNCTION ((|%IntegerSection| 0) |%Shell|) |%Char|) - |CHAR;char;Nni$;6|)) + |CHAR;char;Nni$;9|)) -(PUT '|CHAR;char;Nni$;6| '|SPADreplace| 'CODE-CHAR) +(PUT '|CHAR;char;Nni$;9| '|SPADreplace| 'CODE-CHAR) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) (|%IntegerSection| 0)) - |CHAR;ord;$Nni;7|)) + |CHAR;ord;$Nni;10|)) -(PUT '|CHAR;ord;$Nni;7| '|SPADreplace| 'CHAR-CODE) +(PUT '|CHAR;ord;$Nni;10| '|SPADreplace| 'CHAR-CODE) -(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Char|) |CHAR;random;$;8|)) +(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Char|) |CHAR;random;$;11|)) -(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Char|) |CHAR;space;$;9|)) +(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Char|) |CHAR;space;$;12|)) -(PUT '|CHAR;space;$;9| '|SPADreplace| '(XLAM NIL (CHAR " " 0))) +(PUT '|CHAR;space;$;12| '|SPADreplace| '(XLAM NIL (CHAR " " 0))) -(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Char|) |CHAR;quote;$;10|)) +(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Char|) |CHAR;quote;$;13|)) -(PUT '|CHAR;quote;$;10| '|SPADreplace| '(XLAM NIL (CHAR "\" " 0))) +(PUT '|CHAR;quote;$;13| '|SPADreplace| '(XLAM NIL (CHAR "\" " 0))) -(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Char|) |CHAR;escape;$;11|)) +(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Char|) |CHAR;escape;$;14|)) -(PUT '|CHAR;escape;$;11| '|SPADreplace| '(XLAM NIL (CHAR "_ " 0))) +(PUT '|CHAR;escape;$;14| '|SPADreplace| '(XLAM NIL (CHAR "_ " 0))) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Thing|) - |CHAR;coerce;$Of;12|)) + |CHAR;coerce;$Of;15|)) -(PUT '|CHAR;coerce;$Of;12| '|SPADreplace| '(XLAM (|c|) |c|)) +(PUT '|CHAR;coerce;$Of;15| '|SPADreplace| '(XLAM (|c|) |c|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Boolean|) - |CHAR;digit?;$B;13|)) + |CHAR;digit?;$B;16|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Boolean|) - |CHAR;hexDigit?;$B;14|)) + |CHAR;hexDigit?;$B;17|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Boolean|) - |CHAR;upperCase?;$B;15|)) + |CHAR;upperCase?;$B;18|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Boolean|) - |CHAR;lowerCase?;$B;16|)) + |CHAR;lowerCase?;$B;19|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Boolean|) - |CHAR;alphabetic?;$B;17|)) + |CHAR;alphabetic?;$B;20|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Boolean|) - |CHAR;alphanumeric?;$B;18|)) + |CHAR;alphanumeric?;$B;21|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%String|) - |CHAR;latex;$S;19|)) + |CHAR;latex;$S;22|)) (DECLAIM (FTYPE (FUNCTION (|%String| |%Shell|) |%Char|) - |CHAR;char;S$;20|)) + |CHAR;char;S$;23|)) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Char|) - |CHAR;upperCase;2$;21|)) + |CHAR;upperCase;2$;24|)) -(PUT '|CHAR;upperCase;2$;21| '|SPADreplace| 'CHAR-UPCASE) +(PUT '|CHAR;upperCase;2$;24| '|SPADreplace| 'CHAR-UPCASE) (DECLAIM (FTYPE (FUNCTION (|%Char| |%Shell|) |%Char|) - |CHAR;lowerCase;2$;22|)) + |CHAR;lowerCase;2$;25|)) -(PUT '|CHAR;lowerCase;2$;22| '|SPADreplace| 'CHAR-DOWNCASE) +(PUT '|CHAR;lowerCase;2$;25| '|SPADreplace| 'CHAR-DOWNCASE) (DEFUN |CHAR;=;2$B;1| (|a| |b| $) (DECLARE (IGNORE $)) @@ -93,78 +108,92 @@ (DECLARE (IGNORE $)) (CHAR< |a| |b|)) -(DEFUN |CHAR;size;Nni;3| ($) (DECLARE (IGNORE $)) 256) +(DEFUN |CHAR;>;2$B;3| (|a| |b| $) + (DECLARE (IGNORE $)) + (CHAR> |a| |b|)) + +(DEFUN |CHAR;<=;2$B;4| (|a| |b| $) + (DECLARE (IGNORE $)) + (CHAR<= |a| |b|)) + +(DEFUN |CHAR;>=;2$B;5| (|a| |b| $) + (DECLARE (IGNORE $)) + (CHAR>= |a| |b|)) + +(DEFUN |CHAR;size;Nni;6| ($) (DECLARE (IGNORE $)) 256) -(DEFUN |CHAR;index;Pi$;4| (|n| $) - (PROG (#0=#:G1402) +(DEFUN |CHAR;index;Pi$;7| (|n| $) + (PROG (#0=#:G1405) (RETURN (CODE-CHAR - (PROG1 (LETT #0# (- |n| 1) |CHAR;index;Pi$;4|) + (PROG1 (LETT #0# (- |n| 1) |CHAR;index;Pi$;7|) (|check-subtype| (NOT (< #0# 0)) '(|NonNegativeInteger|) #0#)))))) -(DEFUN |CHAR;lookup;$Pi;5| (|c| $) - (PROG (#0=#:G1404) +(DEFUN |CHAR;lookup;$Pi;8| (|c| $) + (PROG (#0=#:G1407) (RETURN - (PROG1 (LETT #0# (+ 1 (CHAR-CODE |c|)) |CHAR;lookup;$Pi;5|) + (PROG1 (LETT #0# (+ 1 (CHAR-CODE |c|)) |CHAR;lookup;$Pi;8|) (|check-subtype| (< 0 #0#) '(|PositiveInteger|) #0#))))) -(DEFUN |CHAR;char;Nni$;6| (|n| $) +(DEFUN |CHAR;char;Nni$;9| (|n| $) (DECLARE (IGNORE $)) (CODE-CHAR |n|)) -(DEFUN |CHAR;ord;$Nni;7| (|c| $) (DECLARE (IGNORE $)) (CHAR-CODE |c|)) +(DEFUN |CHAR;ord;$Nni;10| (|c| $) + (DECLARE (IGNORE $)) + (CHAR-CODE |c|)) -(DEFUN |CHAR;random;$;8| ($) (CODE-CHAR (RANDOM 256))) +(DEFUN |CHAR;random;$;11| ($) (CODE-CHAR (RANDOM 256))) -(DEFUN |CHAR;space;$;9| ($) (DECLARE (IGNORE $)) (CHAR " " 0)) +(DEFUN |CHAR;space;$;12| ($) (DECLARE (IGNORE $)) (CHAR " " 0)) -(DEFUN |CHAR;quote;$;10| ($) (DECLARE (IGNORE $)) (CHAR "\" " 0)) +(DEFUN |CHAR;quote;$;13| ($) (DECLARE (IGNORE $)) (CHAR "\" " 0)) -(DEFUN |CHAR;escape;$;11| ($) (DECLARE (IGNORE $)) (CHAR "_ " 0)) +(DEFUN |CHAR;escape;$;14| ($) (DECLARE (IGNORE $)) (CHAR "_ " 0)) -(DEFUN |CHAR;coerce;$Of;12| (|c| $) (DECLARE (IGNORE $)) |c|) +(DEFUN |CHAR;coerce;$Of;15| (|c| $) (DECLARE (IGNORE $)) |c|) -(DEFUN |CHAR;digit?;$B;13| (|c| $) - (SPADCALL |c| (|spadConstant| $ 29) (|getShellEntry| $ 31))) +(DEFUN |CHAR;digit?;$B;16| (|c| $) + (SPADCALL |c| (|spadConstant| $ 32) (|getShellEntry| $ 34))) -(DEFUN |CHAR;hexDigit?;$B;14| (|c| $) - (SPADCALL |c| (|spadConstant| $ 33) (|getShellEntry| $ 31))) +(DEFUN |CHAR;hexDigit?;$B;17| (|c| $) + (SPADCALL |c| (|spadConstant| $ 36) (|getShellEntry| $ 34))) -(DEFUN |CHAR;upperCase?;$B;15| (|c| $) - (SPADCALL |c| (|spadConstant| $ 35) (|getShellEntry| $ 31))) +(DEFUN |CHAR;upperCase?;$B;18| (|c| $) + (SPADCALL |c| (|spadConstant| $ 38) (|getShellEntry| $ 34))) -(DEFUN |CHAR;lowerCase?;$B;16| (|c| $) - (SPADCALL |c| (|spadConstant| $ 37) (|getShellEntry| $ 31))) +(DEFUN |CHAR;lowerCase?;$B;19| (|c| $) + (SPADCALL |c| (|spadConstant| $ 40) (|getShellEntry| $ 34))) -(DEFUN |CHAR;alphabetic?;$B;17| (|c| $) - (SPADCALL |c| (|spadConstant| $ 39) (|getShellEntry| $ 31))) +(DEFUN |CHAR;alphabetic?;$B;20| (|c| $) + (SPADCALL |c| (|spadConstant| $ 42) (|getShellEntry| $ 34))) -(DEFUN |CHAR;alphanumeric?;$B;18| (|c| $) - (SPADCALL |c| (|spadConstant| $ 41) (|getShellEntry| $ 31))) +(DEFUN |CHAR;alphanumeric?;$B;21| (|c| $) + (SPADCALL |c| (|spadConstant| $ 44) (|getShellEntry| $ 34))) -(DEFUN |CHAR;latex;$S;19| (|c| $) +(DEFUN |CHAR;latex;$S;22| (|c| $) (STRCONC "\\mbox{`" (STRCONC (MAKE-FULL-CVEC 1 |c|) "'}"))) -(DEFUN |CHAR;char;S$;20| (|s| $) +(DEFUN |CHAR;char;S$;23| (|s| $) (COND ((EQL (QCSIZE |s|) 1) - (SPADCALL |s| (SPADCALL |s| (|getShellEntry| $ 49)) - (|getShellEntry| $ 50))) + (SPADCALL |s| (SPADCALL |s| (|getShellEntry| $ 52)) + (|getShellEntry| $ 53))) ('T (|userError| "String is not a single character")))) -(DEFUN |CHAR;upperCase;2$;21| (|c| $) +(DEFUN |CHAR;upperCase;2$;24| (|c| $) (DECLARE (IGNORE $)) (CHAR-UPCASE |c|)) -(DEFUN |CHAR;lowerCase;2$;22| (|c| $) +(DEFUN |CHAR;lowerCase;2$;25| (|c| $) (DECLARE (IGNORE $)) (CHAR-DOWNCASE |c|)) (DEFUN |Character| () (PROG () (RETURN - (PROG (#0=#:G1425) + (PROG (#0=#:G1428) (RETURN (COND ((LETT #0# (HGET |$ConstructorCache| '|Character|) @@ -184,7 +213,7 @@ (RETURN (PROGN (LETT |dv$| '(|Character|) . #0=(|Character|)) - (LETT $ (|newShell| 55) . #0#) + (LETT $ (|newShell| 58) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) @@ -194,23 +223,24 @@ (MAKEPROP '|Character| '|infovec| (LIST '#(NIL NIL NIL NIL NIL NIL (|Boolean|) |CHAR;=;2$B;1| - |CHAR;<;2$B;2| (|NonNegativeInteger|) |CHAR;size;Nni;3| + |CHAR;<;2$B;2| |CHAR;>;2$B;3| |CHAR;<=;2$B;4| + |CHAR;>=;2$B;5| (|NonNegativeInteger|) |CHAR;size;Nni;6| (|PositiveInteger|) (0 . |One|) (4 . |One|) (|Integer|) - (8 . -) |CHAR;char;Nni$;6| |CHAR;index;Pi$;4| - |CHAR;ord;$Nni;7| (14 . +) |CHAR;lookup;$Pi;5| - (20 . |random|) |CHAR;random;$;8| |CHAR;space;$;9| - |CHAR;quote;$;10| |CHAR;escape;$;11| (|OutputForm|) - |CHAR;coerce;$Of;12| (|CharacterClass|) (25 . |digit|) - (|Character|) (29 . |member?|) |CHAR;digit?;$B;13| - (35 . |hexDigit|) |CHAR;hexDigit?;$B;14| - (39 . |upperCase|) |CHAR;upperCase?;$B;15| - (43 . |lowerCase|) |CHAR;lowerCase?;$B;16| - (47 . |alphabetic|) |CHAR;alphabetic?;$B;17| - (51 . |alphanumeric|) |CHAR;alphanumeric?;$B;18| - (|String|) (55 . |new|) (61 . |concat|) |CHAR;latex;$S;19| + (8 . -) |CHAR;char;Nni$;9| |CHAR;index;Pi$;7| + |CHAR;ord;$Nni;10| (14 . +) |CHAR;lookup;$Pi;8| + (20 . |random|) |CHAR;random;$;11| |CHAR;space;$;12| + |CHAR;quote;$;13| |CHAR;escape;$;14| (|OutputForm|) + |CHAR;coerce;$Of;15| (|CharacterClass|) (25 . |digit|) + (|Character|) (29 . |member?|) |CHAR;digit?;$B;16| + (35 . |hexDigit|) |CHAR;hexDigit?;$B;17| + (39 . |upperCase|) |CHAR;upperCase?;$B;18| + (43 . |lowerCase|) |CHAR;lowerCase?;$B;19| + (47 . |alphabetic|) |CHAR;alphabetic?;$B;20| + (51 . |alphanumeric|) |CHAR;alphanumeric?;$B;21| + (|String|) (55 . |new|) (61 . |concat|) |CHAR;latex;$S;22| (67 . |#|) (72 . |one?|) (77 . |minIndex|) (82 . |elt|) - |CHAR;char;S$;20| |CHAR;upperCase;2$;21| - |CHAR;lowerCase;2$;22| (|SingleInteger|)) + |CHAR;char;S$;23| |CHAR;upperCase;2$;24| + |CHAR;lowerCase;2$;25| (|SingleInteger|)) '#(~= 88 |upperCase?| 94 |upperCase| 99 |space| 104 |size| 108 |random| 112 |quote| 116 |ord| 120 |min| 125 |max| 135 |lowerCase?| 145 |lowerCase| 150 |lookup| 155 |latex| 160 @@ -224,24 +254,24 @@ |BasicType&| NIL) (CONS '#((|OrderedFinite|) (|OrderedSet|) (|Finite|) (|SetCategory|) (|BasicType|) - (|CoercibleTo| 26)) - (|makeByteWordVec2| 54 - '(0 11 0 12 0 9 0 13 2 14 0 0 0 15 2 9 - 0 0 0 19 1 9 0 0 21 0 28 0 29 2 28 6 - 30 0 31 0 28 0 33 0 28 0 35 0 28 0 37 - 0 28 0 39 0 28 0 41 2 43 0 9 30 44 2 - 43 0 0 0 45 1 43 9 0 47 1 9 6 0 48 1 - 43 14 0 49 2 43 30 0 14 50 2 0 6 0 0 - 1 1 0 6 0 36 1 0 0 0 52 0 0 0 23 0 0 - 9 10 0 0 0 22 0 0 0 24 1 0 9 0 18 0 0 - 0 1 2 0 0 0 0 1 0 0 0 1 2 0 0 0 0 1 1 - 0 6 0 38 1 0 0 0 53 1 0 11 0 20 1 0 - 43 0 46 1 0 0 11 17 1 0 6 0 34 1 0 54 - 0 1 0 0 0 25 1 0 6 0 32 1 0 26 0 27 1 - 0 0 43 51 1 0 0 9 16 2 0 6 0 0 1 1 0 - 6 0 42 1 0 6 0 40 2 0 6 0 0 1 2 0 6 0 - 0 1 2 0 6 0 0 7 2 0 6 0 0 1 2 0 6 0 0 - 8))))) + (|CoercibleTo| 29)) + (|makeByteWordVec2| 57 + '(0 14 0 15 0 12 0 16 2 17 0 0 0 18 2 + 12 0 0 0 22 1 12 0 0 24 0 31 0 32 2 + 31 6 33 0 34 0 31 0 36 0 31 0 38 0 31 + 0 40 0 31 0 42 0 31 0 44 2 46 0 12 33 + 47 2 46 0 0 0 48 1 46 12 0 50 1 12 6 + 0 51 1 46 17 0 52 2 46 33 0 17 53 2 0 + 6 0 0 1 1 0 6 0 39 1 0 0 0 55 0 0 0 + 26 0 0 12 13 0 0 0 25 0 0 0 27 1 0 12 + 0 21 0 0 0 1 2 0 0 0 0 1 0 0 0 1 2 0 + 0 0 0 1 1 0 6 0 41 1 0 0 0 56 1 0 14 + 0 23 1 0 46 0 49 1 0 0 14 20 1 0 6 0 + 37 1 0 57 0 1 0 0 0 28 1 0 6 0 35 1 0 + 29 0 30 1 0 0 46 54 1 0 0 12 19 2 0 6 + 0 0 1 1 0 6 0 45 1 0 6 0 43 2 0 6 0 0 + 11 2 0 6 0 0 9 2 0 6 0 0 7 2 0 6 0 0 + 10 2 0 6 0 0 8))))) '|lookupComplete|)) (MAKEPROP '|Character| 'NILADIC T) diff --git a/src/algebra/strap/DFLOAT.lsp b/src/algebra/strap/DFLOAT.lsp index 582076db..3096aacb 100644 --- a/src/algebra/strap/DFLOAT.lsp +++ b/src/algebra/strap/DFLOAT.lsp @@ -83,284 +83,298 @@ (PUT '|DFLOAT;<;2$B;20| '|SPADreplace| '<) +(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) + |%Boolean|) + |DFLOAT;>;2$B;21|)) + +(PUT '|DFLOAT;>;2$B;21| '|SPADreplace| '>) + +(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) + |%Boolean|) + |DFLOAT;<=;2$B;22|)) + +(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) + |%Boolean|) + |DFLOAT;>=;2$B;23|)) + (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;-;2$;21|)) + |DFLOAT;-;2$;24|)) -(PUT '|DFLOAT;-;2$;21| '|SPADreplace| '-) +(PUT '|DFLOAT;-;2$;24| '|SPADreplace| '-) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;+;3$;22|)) + |DFLOAT;+;3$;25|)) -(PUT '|DFLOAT;+;3$;22| '|SPADreplace| '+) +(PUT '|DFLOAT;+;3$;25| '|SPADreplace| '+) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;-;3$;23|)) + |DFLOAT;-;3$;26|)) -(PUT '|DFLOAT;-;3$;23| '|SPADreplace| '-) +(PUT '|DFLOAT;-;3$;26| '|SPADreplace| '-) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;*;3$;24|)) + |DFLOAT;*;3$;27|)) -(PUT '|DFLOAT;*;3$;24| '|SPADreplace| '*) +(PUT '|DFLOAT;*;3$;27| '|SPADreplace| '*) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;*;I2$;25|)) + |DFLOAT;*;I2$;28|)) -(PUT '|DFLOAT;*;I2$;25| '|SPADreplace| '*) +(PUT '|DFLOAT;*;I2$;28| '|SPADreplace| '*) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;max;3$;26|)) + |DFLOAT;max;3$;29|)) -(PUT '|DFLOAT;max;3$;26| '|SPADreplace| 'MAX) +(PUT '|DFLOAT;max;3$;29| '|SPADreplace| 'MAX) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;min;3$;27|)) + |DFLOAT;min;3$;30|)) -(PUT '|DFLOAT;min;3$;27| '|SPADreplace| 'MIN) +(PUT '|DFLOAT;min;3$;30| '|SPADreplace| 'MIN) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%Boolean|) - |DFLOAT;=;2$B;28|)) + |DFLOAT;=;2$B;31|)) -(PUT '|DFLOAT;=;2$B;28| '|SPADreplace| '=) +(PUT '|DFLOAT;=;2$B;31| '|SPADreplace| '=) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Integer| |%Shell|) |%DoubleFloat|) - |DFLOAT;/;$I$;29|)) + |DFLOAT;/;$I$;32|)) -(PUT '|DFLOAT;/;$I$;29| '|SPADreplace| '/) +(PUT '|DFLOAT;/;$I$;32| '|SPADreplace| '/) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;sqrt;2$;30|)) + |DFLOAT;sqrt;2$;33|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;log10;2$;31|)) + |DFLOAT;log10;2$;34|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Integer| |%Shell|) |%DoubleFloat|) - |DFLOAT;**;$I$;32|)) + |DFLOAT;**;$I$;35|)) -(PUT '|DFLOAT;**;$I$;32| '|SPADreplace| 'EXPT) +(PUT '|DFLOAT;**;$I$;35| '|SPADreplace| 'EXPT) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;**;3$;33|)) + |DFLOAT;**;3$;36|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%DoubleFloat|) - |DFLOAT;coerce;I$;34|)) + |DFLOAT;coerce;I$;37|)) -(PUT '|DFLOAT;coerce;I$;34| '|SPADreplace| +(PUT '|DFLOAT;coerce;I$;37| '|SPADreplace| '(XLAM (|i|) (FLOAT |i| |$DoubleFloatMaximum|))) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;exp;2$;35|)) + |DFLOAT;exp;2$;38|)) -(PUT '|DFLOAT;exp;2$;35| '|SPADreplace| 'EXP) +(PUT '|DFLOAT;exp;2$;38| '|SPADreplace| 'EXP) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;log;2$;36|)) + |DFLOAT;log;2$;39|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;log2;2$;37|)) + |DFLOAT;log2;2$;40|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;sin;2$;38|)) + |DFLOAT;sin;2$;41|)) -(PUT '|DFLOAT;sin;2$;38| '|SPADreplace| 'SIN) +(PUT '|DFLOAT;sin;2$;41| '|SPADreplace| 'SIN) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;cos;2$;39|)) + |DFLOAT;cos;2$;42|)) -(PUT '|DFLOAT;cos;2$;39| '|SPADreplace| 'COS) +(PUT '|DFLOAT;cos;2$;42| '|SPADreplace| 'COS) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;tan;2$;40|)) + |DFLOAT;tan;2$;43|)) -(PUT '|DFLOAT;tan;2$;40| '|SPADreplace| 'TAN) +(PUT '|DFLOAT;tan;2$;43| '|SPADreplace| 'TAN) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;cot;2$;41|)) + |DFLOAT;cot;2$;44|)) -(PUT '|DFLOAT;cot;2$;41| '|SPADreplace| 'COT) +(PUT '|DFLOAT;cot;2$;44| '|SPADreplace| 'COT) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;sec;2$;42|)) + |DFLOAT;sec;2$;45|)) -(PUT '|DFLOAT;sec;2$;42| '|SPADreplace| 'SEC) +(PUT '|DFLOAT;sec;2$;45| '|SPADreplace| 'SEC) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;csc;2$;43|)) + |DFLOAT;csc;2$;46|)) -(PUT '|DFLOAT;csc;2$;43| '|SPADreplace| 'CSC) +(PUT '|DFLOAT;csc;2$;46| '|SPADreplace| 'CSC) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;asin;2$;44|)) + |DFLOAT;asin;2$;47|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;acos;2$;45|)) + |DFLOAT;acos;2$;48|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;atan;2$;46|)) + |DFLOAT;atan;2$;49|)) -(PUT '|DFLOAT;atan;2$;46| '|SPADreplace| 'ATAN) +(PUT '|DFLOAT;atan;2$;49| '|SPADreplace| 'ATAN) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;acsc;2$;47|)) + |DFLOAT;acsc;2$;50|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;acot;2$;48|)) + |DFLOAT;acot;2$;51|)) -(PUT '|DFLOAT;acot;2$;48| '|SPADreplace| 'ACOT) +(PUT '|DFLOAT;acot;2$;51| '|SPADreplace| 'ACOT) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;asec;2$;49|)) + |DFLOAT;asec;2$;52|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;sinh;2$;50|)) + |DFLOAT;sinh;2$;53|)) -(PUT '|DFLOAT;sinh;2$;50| '|SPADreplace| 'SINH) +(PUT '|DFLOAT;sinh;2$;53| '|SPADreplace| 'SINH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;cosh;2$;51|)) + |DFLOAT;cosh;2$;54|)) -(PUT '|DFLOAT;cosh;2$;51| '|SPADreplace| 'COSH) +(PUT '|DFLOAT;cosh;2$;54| '|SPADreplace| 'COSH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;tanh;2$;52|)) + |DFLOAT;tanh;2$;55|)) -(PUT '|DFLOAT;tanh;2$;52| '|SPADreplace| 'TANH) +(PUT '|DFLOAT;tanh;2$;55| '|SPADreplace| 'TANH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;csch;2$;53|)) + |DFLOAT;csch;2$;56|)) -(PUT '|DFLOAT;csch;2$;53| '|SPADreplace| 'CSCH) +(PUT '|DFLOAT;csch;2$;56| '|SPADreplace| 'CSCH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;coth;2$;54|)) + |DFLOAT;coth;2$;57|)) -(PUT '|DFLOAT;coth;2$;54| '|SPADreplace| 'COTH) +(PUT '|DFLOAT;coth;2$;57| '|SPADreplace| 'COTH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;sech;2$;55|)) + |DFLOAT;sech;2$;58|)) -(PUT '|DFLOAT;sech;2$;55| '|SPADreplace| 'SECH) +(PUT '|DFLOAT;sech;2$;58| '|SPADreplace| 'SECH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;asinh;2$;56|)) + |DFLOAT;asinh;2$;59|)) -(PUT '|DFLOAT;asinh;2$;56| '|SPADreplace| 'ASINH) +(PUT '|DFLOAT;asinh;2$;59| '|SPADreplace| 'ASINH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;acosh;2$;57|)) + |DFLOAT;acosh;2$;60|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;atanh;2$;58|)) + |DFLOAT;atanh;2$;61|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;acsch;2$;59|)) + |DFLOAT;acsch;2$;62|)) -(PUT '|DFLOAT;acsch;2$;59| '|SPADreplace| 'ACSCH) +(PUT '|DFLOAT;acsch;2$;62| '|SPADreplace| 'ACSCH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;acoth;2$;60|)) + |DFLOAT;acoth;2$;63|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;asech;2$;61|)) + |DFLOAT;asech;2$;64|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;/;3$;62|)) + |DFLOAT;/;3$;65|)) -(PUT '|DFLOAT;/;3$;62| '|SPADreplace| '/) +(PUT '|DFLOAT;/;3$;65| '|SPADreplace| '/) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|) - |DFLOAT;negative?;$B;63|)) + |DFLOAT;negative?;$B;66|)) -(PUT '|DFLOAT;negative?;$B;63| '|SPADreplace| 'MINUSP) +(PUT '|DFLOAT;negative?;$B;66| '|SPADreplace| 'MINUSP) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|) - |DFLOAT;zero?;$B;64|)) + |DFLOAT;zero?;$B;67|)) -(PUT '|DFLOAT;zero?;$B;64| '|SPADreplace| 'ZEROP) +(PUT '|DFLOAT;zero?;$B;67| '|SPADreplace| 'ZEROP) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|) - |DFLOAT;one?;$B;65|)) + |DFLOAT;one?;$B;68|)) -(PUT '|DFLOAT;one?;$B;65| '|SPADreplace| '(XLAM (|x|) (= |x| 1.0))) +(PUT '|DFLOAT;one?;$B;68| '|SPADreplace| '(XLAM (|x|) (= |x| 1.0))) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Short|) - |DFLOAT;hash;$Si;66|)) + |DFLOAT;hash;$Si;69|)) -(PUT '|DFLOAT;hash;$Si;66| '|SPADreplace| 'HASHEQ) +(PUT '|DFLOAT;hash;$Si;69| '|SPADreplace| 'HASHEQ) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|) - |DFLOAT;recip;$U;67|)) + |DFLOAT;recip;$U;70|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;differentiate;2$;68|)) + |DFLOAT;differentiate;2$;71|)) -(PUT '|DFLOAT;differentiate;2$;68| '|SPADreplace| '(XLAM (|x|) 0.0)) +(PUT '|DFLOAT;differentiate;2$;71| '|SPADreplace| '(XLAM (|x|) 0.0)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;Gamma;2$;69|)) + |DFLOAT;Gamma;2$;72|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;Beta;3$;70|)) + |DFLOAT;Beta;3$;73|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) - |DFLOAT;wholePart;$I;71|)) + |DFLOAT;wholePart;$I;74|)) -(PUT '|DFLOAT;wholePart;$I;71| '|SPADreplace| 'FIX) +(PUT '|DFLOAT;wholePart;$I;74| '|SPADreplace| 'FIX) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| (|%IntegerSection| 1) |%Shell|) |%DoubleFloat|) - |DFLOAT;float;2IPi$;72|)) + |DFLOAT;float;2IPi$;75|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;convert;2$;73|)) + |DFLOAT;convert;2$;76|)) -(PUT '|DFLOAT;convert;2$;73| '|SPADreplace| '(XLAM (|x|) |x|)) +(PUT '|DFLOAT;convert;2$;76| '|SPADreplace| '(XLAM (|x|) |x|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Thing|) - |DFLOAT;convert;$F;74|)) + |DFLOAT;convert;$F;77|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| (|%IntegerSection| 0) |%Shell|) |%Thing|) - |DFLOAT;rationalApproximation;$NniF;75|)) + |DFLOAT;rationalApproximation;$NniF;78|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;atan;3$;76|)) + |DFLOAT;atan;3$;79|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Thing|) - |DFLOAT;retract;$F;77|)) + |DFLOAT;retract;$F;80|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|) - |DFLOAT;retractIfCan;$U;78|)) + |DFLOAT;retractIfCan;$U;81|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) - |DFLOAT;retract;$I;79|)) + |DFLOAT;retract;$I;82|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|) - |DFLOAT;retractIfCan;$U;80|)) + |DFLOAT;retractIfCan;$U;83|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) - |DFLOAT;sign;$I;81|)) + |DFLOAT;sign;$I;84|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) - |DFLOAT;abs;2$;82|)) + |DFLOAT;abs;2$;85|)) -(PUT '|DFLOAT;abs;2$;82| '|SPADreplace| +(PUT '|DFLOAT;abs;2$;85| '|SPADreplace| '(XLAM (|x|) (FLOAT-SIGN 1.0 |x|))) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|) @@ -370,11 +384,11 @@ (|%DoubleFloat| (|%IntegerSection| 0) (|%IntegerSection| 0) |%Shell|) |%Thing|) - |DFLOAT;rationalApproximation;$2NniF;84|)) + |DFLOAT;rationalApproximation;$2NniF;87|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Thing| |%Shell|) |%DoubleFloat|) - |DFLOAT;**;$F$;85|)) + |DFLOAT;**;$F$;88|)) (DEFUN |DFLOAT;OMwrite;$S;1| (|x| $) (PROG (|sp| |dev| |s|) @@ -444,7 +458,7 @@ ('T (PROG1 (LETT #0# (FIX (SPADCALL (FLOAT-DIGITS 0.0) - (|DFLOAT;log2;2$;37| + (|DFLOAT;log2;2$;40| (FLOAT (FLOAT-RADIX 0.0) |$DoubleFloatMaximum|) $) @@ -486,211 +500,217 @@ (DEFUN |DFLOAT;<;2$B;20| (|x| |y| $) (DECLARE (IGNORE $)) (< |x| |y|)) -(DEFUN |DFLOAT;-;2$;21| (|x| $) (DECLARE (IGNORE $)) (- |x|)) +(DEFUN |DFLOAT;>;2$B;21| (|x| |y| $) (DECLARE (IGNORE $)) (> |x| |y|)) + +(DEFUN |DFLOAT;<=;2$B;22| (|x| |y| $) (NOT (> |x| |y|))) + +(DEFUN |DFLOAT;>=;2$B;23| (|x| |y| $) (NOT (< |x| |y|))) + +(DEFUN |DFLOAT;-;2$;24| (|x| $) (DECLARE (IGNORE $)) (- |x|)) -(DEFUN |DFLOAT;+;3$;22| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|)) +(DEFUN |DFLOAT;+;3$;25| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|)) -(DEFUN |DFLOAT;-;3$;23| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|)) +(DEFUN |DFLOAT;-;3$;26| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|)) -(DEFUN |DFLOAT;*;3$;24| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|)) +(DEFUN |DFLOAT;*;3$;27| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|)) -(DEFUN |DFLOAT;*;I2$;25| (|i| |x| $) (DECLARE (IGNORE $)) (* |i| |x|)) +(DEFUN |DFLOAT;*;I2$;28| (|i| |x| $) (DECLARE (IGNORE $)) (* |i| |x|)) -(DEFUN |DFLOAT;max;3$;26| (|x| |y| $) +(DEFUN |DFLOAT;max;3$;29| (|x| |y| $) (DECLARE (IGNORE $)) (MAX |x| |y|)) -(DEFUN |DFLOAT;min;3$;27| (|x| |y| $) +(DEFUN |DFLOAT;min;3$;30| (|x| |y| $) (DECLARE (IGNORE $)) (MIN |x| |y|)) -(DEFUN |DFLOAT;=;2$B;28| (|x| |y| $) (DECLARE (IGNORE $)) (= |x| |y|)) +(DEFUN |DFLOAT;=;2$B;31| (|x| |y| $) (DECLARE (IGNORE $)) (= |x| |y|)) -(DEFUN |DFLOAT;/;$I$;29| (|x| |i| $) (DECLARE (IGNORE $)) (/ |x| |i|)) +(DEFUN |DFLOAT;/;$I$;32| (|x| |i| $) (DECLARE (IGNORE $)) (/ |x| |i|)) -(DEFUN |DFLOAT;sqrt;2$;30| (|x| $) (C-TO-R (SQRT |x|))) +(DEFUN |DFLOAT;sqrt;2$;33| (|x| $) (C-TO-R (SQRT |x|))) -(DEFUN |DFLOAT;log10;2$;31| (|x| $) (C-TO-R (|log| |x|))) +(DEFUN |DFLOAT;log10;2$;34| (|x| $) (C-TO-R (|log| |x|))) -(DEFUN |DFLOAT;**;$I$;32| (|x| |i| $) +(DEFUN |DFLOAT;**;$I$;35| (|x| |i| $) (DECLARE (IGNORE $)) (EXPT |x| |i|)) -(DEFUN |DFLOAT;**;3$;33| (|x| |y| $) (C-TO-R (EXPT |x| |y|))) +(DEFUN |DFLOAT;**;3$;36| (|x| |y| $) (C-TO-R (EXPT |x| |y|))) -(DEFUN |DFLOAT;coerce;I$;34| (|i| $) +(DEFUN |DFLOAT;coerce;I$;37| (|i| $) (DECLARE (IGNORE $)) (FLOAT |i| |$DoubleFloatMaximum|)) -(DEFUN |DFLOAT;exp;2$;35| (|x| $) (DECLARE (IGNORE $)) (EXP |x|)) +(DEFUN |DFLOAT;exp;2$;38| (|x| $) (DECLARE (IGNORE $)) (EXP |x|)) -(DEFUN |DFLOAT;log;2$;36| (|x| $) (C-TO-R (LN |x|))) +(DEFUN |DFLOAT;log;2$;39| (|x| $) (C-TO-R (LN |x|))) -(DEFUN |DFLOAT;log2;2$;37| (|x| $) (C-TO-R (LOG2 |x|))) +(DEFUN |DFLOAT;log2;2$;40| (|x| $) (C-TO-R (LOG2 |x|))) -(DEFUN |DFLOAT;sin;2$;38| (|x| $) (DECLARE (IGNORE $)) (SIN |x|)) +(DEFUN |DFLOAT;sin;2$;41| (|x| $) (DECLARE (IGNORE $)) (SIN |x|)) -(DEFUN |DFLOAT;cos;2$;39| (|x| $) (DECLARE (IGNORE $)) (COS |x|)) +(DEFUN |DFLOAT;cos;2$;42| (|x| $) (DECLARE (IGNORE $)) (COS |x|)) -(DEFUN |DFLOAT;tan;2$;40| (|x| $) (DECLARE (IGNORE $)) (TAN |x|)) +(DEFUN |DFLOAT;tan;2$;43| (|x| $) (DECLARE (IGNORE $)) (TAN |x|)) -(DEFUN |DFLOAT;cot;2$;41| (|x| $) (DECLARE (IGNORE $)) (COT |x|)) +(DEFUN |DFLOAT;cot;2$;44| (|x| $) (DECLARE (IGNORE $)) (COT |x|)) -(DEFUN |DFLOAT;sec;2$;42| (|x| $) (DECLARE (IGNORE $)) (SEC |x|)) +(DEFUN |DFLOAT;sec;2$;45| (|x| $) (DECLARE (IGNORE $)) (SEC |x|)) -(DEFUN |DFLOAT;csc;2$;43| (|x| $) (DECLARE (IGNORE $)) (CSC |x|)) +(DEFUN |DFLOAT;csc;2$;46| (|x| $) (DECLARE (IGNORE $)) (CSC |x|)) -(DEFUN |DFLOAT;asin;2$;44| (|x| $) (C-TO-R (ASIN |x|))) +(DEFUN |DFLOAT;asin;2$;47| (|x| $) (C-TO-R (ASIN |x|))) -(DEFUN |DFLOAT;acos;2$;45| (|x| $) (C-TO-R (ACOS |x|))) +(DEFUN |DFLOAT;acos;2$;48| (|x| $) (C-TO-R (ACOS |x|))) -(DEFUN |DFLOAT;atan;2$;46| (|x| $) (DECLARE (IGNORE $)) (ATAN |x|)) +(DEFUN |DFLOAT;atan;2$;49| (|x| $) (DECLARE (IGNORE $)) (ATAN |x|)) -(DEFUN |DFLOAT;acsc;2$;47| (|x| $) (C-TO-R (ACSC |x|))) +(DEFUN |DFLOAT;acsc;2$;50| (|x| $) (C-TO-R (ACSC |x|))) -(DEFUN |DFLOAT;acot;2$;48| (|x| $) (DECLARE (IGNORE $)) (ACOT |x|)) +(DEFUN |DFLOAT;acot;2$;51| (|x| $) (DECLARE (IGNORE $)) (ACOT |x|)) -(DEFUN |DFLOAT;asec;2$;49| (|x| $) (C-TO-R (ASEC |x|))) +(DEFUN |DFLOAT;asec;2$;52| (|x| $) (C-TO-R (ASEC |x|))) -(DEFUN |DFLOAT;sinh;2$;50| (|x| $) (DECLARE (IGNORE $)) (SINH |x|)) +(DEFUN |DFLOAT;sinh;2$;53| (|x| $) (DECLARE (IGNORE $)) (SINH |x|)) -(DEFUN |DFLOAT;cosh;2$;51| (|x| $) (DECLARE (IGNORE $)) (COSH |x|)) +(DEFUN |DFLOAT;cosh;2$;54| (|x| $) (DECLARE (IGNORE $)) (COSH |x|)) -(DEFUN |DFLOAT;tanh;2$;52| (|x| $) (DECLARE (IGNORE $)) (TANH |x|)) +(DEFUN |DFLOAT;tanh;2$;55| (|x| $) (DECLARE (IGNORE $)) (TANH |x|)) -(DEFUN |DFLOAT;csch;2$;53| (|x| $) (DECLARE (IGNORE $)) (CSCH |x|)) +(DEFUN |DFLOAT;csch;2$;56| (|x| $) (DECLARE (IGNORE $)) (CSCH |x|)) -(DEFUN |DFLOAT;coth;2$;54| (|x| $) (DECLARE (IGNORE $)) (COTH |x|)) +(DEFUN |DFLOAT;coth;2$;57| (|x| $) (DECLARE (IGNORE $)) (COTH |x|)) -(DEFUN |DFLOAT;sech;2$;55| (|x| $) (DECLARE (IGNORE $)) (SECH |x|)) +(DEFUN |DFLOAT;sech;2$;58| (|x| $) (DECLARE (IGNORE $)) (SECH |x|)) -(DEFUN |DFLOAT;asinh;2$;56| (|x| $) (DECLARE (IGNORE $)) (ASINH |x|)) +(DEFUN |DFLOAT;asinh;2$;59| (|x| $) (DECLARE (IGNORE $)) (ASINH |x|)) -(DEFUN |DFLOAT;acosh;2$;57| (|x| $) (C-TO-R (ACOSH |x|))) +(DEFUN |DFLOAT;acosh;2$;60| (|x| $) (C-TO-R (ACOSH |x|))) -(DEFUN |DFLOAT;atanh;2$;58| (|x| $) (C-TO-R (ATANH |x|))) +(DEFUN |DFLOAT;atanh;2$;61| (|x| $) (C-TO-R (ATANH |x|))) -(DEFUN |DFLOAT;acsch;2$;59| (|x| $) (DECLARE (IGNORE $)) (ACSCH |x|)) +(DEFUN |DFLOAT;acsch;2$;62| (|x| $) (DECLARE (IGNORE $)) (ACSCH |x|)) -(DEFUN |DFLOAT;acoth;2$;60| (|x| $) (C-TO-R (ACOTH |x|))) +(DEFUN |DFLOAT;acoth;2$;63| (|x| $) (C-TO-R (ACOTH |x|))) -(DEFUN |DFLOAT;asech;2$;61| (|x| $) (C-TO-R (ASECH |x|))) +(DEFUN |DFLOAT;asech;2$;64| (|x| $) (C-TO-R (ASECH |x|))) -(DEFUN |DFLOAT;/;3$;62| (|x| |y| $) (DECLARE (IGNORE $)) (/ |x| |y|)) +(DEFUN |DFLOAT;/;3$;65| (|x| |y| $) (DECLARE (IGNORE $)) (/ |x| |y|)) -(DEFUN |DFLOAT;negative?;$B;63| (|x| $) +(DEFUN |DFLOAT;negative?;$B;66| (|x| $) (DECLARE (IGNORE $)) (MINUSP |x|)) -(DEFUN |DFLOAT;zero?;$B;64| (|x| $) (DECLARE (IGNORE $)) (ZEROP |x|)) +(DEFUN |DFLOAT;zero?;$B;67| (|x| $) (DECLARE (IGNORE $)) (ZEROP |x|)) -(DEFUN |DFLOAT;one?;$B;65| (|x| $) (DECLARE (IGNORE $)) (= |x| 1.0)) +(DEFUN |DFLOAT;one?;$B;68| (|x| $) (DECLARE (IGNORE $)) (= |x| 1.0)) -(DEFUN |DFLOAT;hash;$Si;66| (|x| $) (DECLARE (IGNORE $)) (HASHEQ |x|)) +(DEFUN |DFLOAT;hash;$Si;69| (|x| $) (DECLARE (IGNORE $)) (HASHEQ |x|)) -(DEFUN |DFLOAT;recip;$U;67| (|x| $) +(DEFUN |DFLOAT;recip;$U;70| (|x| $) (COND ((ZEROP |x|) (CONS 1 "failed")) ('T (CONS 0 (/ 1.0 |x|))))) -(DEFUN |DFLOAT;differentiate;2$;68| (|x| $) (DECLARE (IGNORE $)) 0.0) +(DEFUN |DFLOAT;differentiate;2$;71| (|x| $) (DECLARE (IGNORE $)) 0.0) -(DEFUN |DFLOAT;Gamma;2$;69| (|x| $) - (SPADCALL |x| (|getShellEntry| $ 104))) +(DEFUN |DFLOAT;Gamma;2$;72| (|x| $) + (SPADCALL |x| (|getShellEntry| $ 108))) -(DEFUN |DFLOAT;Beta;3$;70| (|x| |y| $) - (SPADCALL |x| |y| (|getShellEntry| $ 106))) +(DEFUN |DFLOAT;Beta;3$;73| (|x| |y| $) + (SPADCALL |x| |y| (|getShellEntry| $ 110))) -(DEFUN |DFLOAT;wholePart;$I;71| (|x| $) +(DEFUN |DFLOAT;wholePart;$I;74| (|x| $) (DECLARE (IGNORE $)) (FIX |x|)) -(DEFUN |DFLOAT;float;2IPi$;72| (|ma| |ex| |b| $) +(DEFUN |DFLOAT;float;2IPi$;75| (|ma| |ex| |b| $) (* |ma| (EXPT (FLOAT |b| |$DoubleFloatMaximum|) |ex|))) -(DEFUN |DFLOAT;convert;2$;73| (|x| $) (DECLARE (IGNORE $)) |x|) +(DEFUN |DFLOAT;convert;2$;76| (|x| $) (DECLARE (IGNORE $)) |x|) -(DEFUN |DFLOAT;convert;$F;74| (|x| $) - (SPADCALL |x| (|getShellEntry| $ 110))) +(DEFUN |DFLOAT;convert;$F;77| (|x| $) + (SPADCALL |x| (|getShellEntry| $ 114))) -(DEFUN |DFLOAT;rationalApproximation;$NniF;75| (|x| |d| $) - (|DFLOAT;rationalApproximation;$2NniF;84| |x| |d| 10 $)) +(DEFUN |DFLOAT;rationalApproximation;$NniF;78| (|x| |d| $) + (|DFLOAT;rationalApproximation;$2NniF;87| |x| |d| 10 $)) -(DEFUN |DFLOAT;atan;3$;76| (|x| |y| $) +(DEFUN |DFLOAT;atan;3$;79| (|x| |y| $) (PROG (|theta|) (RETURN (SEQ (COND ((= |x| 0.0) (COND - ((< 0.0 |y|) (/ PI 2)) + ((> |y| 0.0) (/ PI 2)) ((< |y| 0.0) (- (/ PI 2))) ('T 0.0))) ('T (SEQ (LETT |theta| (ATAN (FLOAT-SIGN 1.0 (/ |y| |x|))) - |DFLOAT;atan;3$;76|) + |DFLOAT;atan;3$;79|) (COND ((< |x| 0.0) - (LETT |theta| (- PI |theta|) |DFLOAT;atan;3$;76|))) + (LETT |theta| (- PI |theta|) |DFLOAT;atan;3$;79|))) (COND ((< |y| 0.0) - (LETT |theta| (- |theta|) |DFLOAT;atan;3$;76|))) + (LETT |theta| (- |theta|) |DFLOAT;atan;3$;79|))) (EXIT |theta|)))))))) -(DEFUN |DFLOAT;retract;$F;77| (|x| $) - (PROG (#0=#:G1501) +(DEFUN |DFLOAT;retract;$F;80| (|x| $) + (PROG (#0=#:G1504) (RETURN - (|DFLOAT;rationalApproximation;$2NniF;84| |x| + (|DFLOAT;rationalApproximation;$2NniF;87| |x| (PROG1 (LETT #0# (- (FLOAT-DIGITS 0.0) 1) - |DFLOAT;retract;$F;77|) + |DFLOAT;retract;$F;80|) (|check-subtype| (NOT (< #0# 0)) '(|NonNegativeInteger|) #0#)) (FLOAT-RADIX 0.0) $)))) -(DEFUN |DFLOAT;retractIfCan;$U;78| (|x| $) - (PROG (#0=#:G1506) +(DEFUN |DFLOAT;retractIfCan;$U;81| (|x| $) + (PROG (#0=#:G1509) (RETURN (CONS 0 - (|DFLOAT;rationalApproximation;$2NniF;84| |x| + (|DFLOAT;rationalApproximation;$2NniF;87| |x| (PROG1 (LETT #0# (- (FLOAT-DIGITS 0.0) 1) - |DFLOAT;retractIfCan;$U;78|) + |DFLOAT;retractIfCan;$U;81|) (|check-subtype| (NOT (< #0# 0)) '(|NonNegativeInteger|) #0#)) (FLOAT-RADIX 0.0) $))))) -(DEFUN |DFLOAT;retract;$I;79| (|x| $) +(DEFUN |DFLOAT;retract;$I;82| (|x| $) (PROG (|n|) (RETURN - (SEQ (LETT |n| (FIX |x|) |DFLOAT;retract;$I;79|) + (SEQ (LETT |n| (FIX |x|) |DFLOAT;retract;$I;82|) (EXIT (COND ((= |x| (FLOAT |n| |$DoubleFloatMaximum|)) |n|) ('T (|error| "Not an integer")))))))) -(DEFUN |DFLOAT;retractIfCan;$U;80| (|x| $) +(DEFUN |DFLOAT;retractIfCan;$U;83| (|x| $) (PROG (|n|) (RETURN - (SEQ (LETT |n| (FIX |x|) |DFLOAT;retractIfCan;$U;80|) + (SEQ (LETT |n| (FIX |x|) |DFLOAT;retractIfCan;$U;83|) (EXIT (COND ((= |x| (FLOAT |n| |$DoubleFloatMaximum|)) (CONS 0 |n|)) ('T (CONS 1 "failed")))))))) -(DEFUN |DFLOAT;sign;$I;81| (|x| $) - (|DFLOAT;retract;$I;79| (FLOAT-SIGN |x| 1.0) $)) +(DEFUN |DFLOAT;sign;$I;84| (|x| $) + (|DFLOAT;retract;$I;82| (FLOAT-SIGN |x| 1.0) $)) -(DEFUN |DFLOAT;abs;2$;82| (|x| $) +(DEFUN |DFLOAT;abs;2$;85| (|x| $) (DECLARE (IGNORE $)) (FLOAT-SIGN 1.0 |x|)) (DEFUN |DFLOAT;manexp| (|x| $) - (PROG (|s| #0=#:G1527 |me| |two53|) + (PROG (|s| #0=#:G1530 |me| |two53|) (RETURN (SEQ (EXIT (COND ((ZEROP |x|) (CONS 0 0)) ('T - (SEQ (LETT |s| (|DFLOAT;sign;$I;81| |x| $) + (SEQ (LETT |s| (|DFLOAT;sign;$I;84| |x| $) |DFLOAT;manexp|) (LETT |x| (FLOAT-SIGN 1.0 |x|) |DFLOAT;manexp|) (COND - ((< |$DoubleFloatMaximum| |x|) + ((> |x| |$DoubleFloatMaximum|) (PROGN (LETT #0# (CONS @@ -713,32 +733,32 @@ (- (QCDR |me|) (FLOAT-DIGITS 0.0)))))))) #0# (EXIT #0#))))) -(DEFUN |DFLOAT;rationalApproximation;$2NniF;84| (|f| |d| |b| $) - (PROG (|#G103| |nu| |ex| BASE #0=#:G1530 |de| |tol| |#G104| |q| |r| - |p2| |q2| #1=#:G1539 |#G105| |#G106| |p0| |p1| |#G107| - |#G108| |q0| |q1| |#G109| |#G110| |s| |t|) +(DEFUN |DFLOAT;rationalApproximation;$2NniF;87| (|f| |d| |b| $) + (PROG (|#G109| |nu| |ex| BASE #0=#:G1533 |de| |tol| |#G110| |q| |r| + |p2| |q2| #1=#:G1542 |#G111| |#G112| |p0| |p1| |#G113| + |#G114| |q0| |q1| |#G115| |#G116| |s| |t|) (RETURN (SEQ (EXIT (SEQ (PROGN - (LETT |#G103| (|DFLOAT;manexp| |f| $) - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |nu| (QCAR |#G103|) - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |ex| (QCDR |#G103|) - |DFLOAT;rationalApproximation;$2NniF;84|) - |#G103|) + (LETT |#G109| (|DFLOAT;manexp| |f| $) + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |nu| (QCAR |#G109|) + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |ex| (QCDR |#G109|) + |DFLOAT;rationalApproximation;$2NniF;87|) + |#G109|) (LETT BASE (FLOAT-RADIX 0.0) - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (EXIT (COND ((< |ex| 0) (SEQ (LETT |de| (EXPT BASE (PROG1 (LETT #0# (- |ex|) - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (|check-subtype| (NOT (< #0# 0)) '(|NonNegativeInteger|) #0#))) - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (EXIT (COND ((< |b| 2) @@ -746,37 +766,37 @@ ('T (SEQ (LETT |tol| (EXPT |b| |d|) - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (LETT |s| |nu| - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (LETT |t| |de| - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (LETT |p0| 0 - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (LETT |p1| 1 - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (LETT |q0| 1 - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (LETT |q1| 0 - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (EXIT (SEQ G190 NIL (SEQ (PROGN - (LETT |#G104| + (LETT |#G110| (DIVIDE2 |s| |t|) - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |q| (QCAR |#G104|) - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |r| (QCDR |#G104|) - |DFLOAT;rationalApproximation;$2NniF;84|) - |#G104|) + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |q| (QCAR |#G110|) + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |r| (QCDR |#G110|) + |DFLOAT;rationalApproximation;$2NniF;87|) + |#G110|) (LETT |p2| (+ (* |q| |p1|) |p0|) - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (LETT |q2| (+ (* |q| |q1|) |q0|) - |DFLOAT;rationalApproximation;$2NniF;84|) + |DFLOAT;rationalApproximation;$2NniF;87|) (COND ((OR (EQL |r| 0) (< @@ -785,44 +805,44 @@ (- (* |nu| |q2|) (* |de| |p2|))) (|getShellEntry| $ - 141)) + 145)) (* |de| (ABS |p2|)))) (EXIT (PROGN (LETT #1# (SPADCALL |p2| |q2| (|getShellEntry| $ - 139)) - |DFLOAT;rationalApproximation;$2NniF;84|) + 143)) + |DFLOAT;rationalApproximation;$2NniF;87|) (GO #1#))))) (PROGN - (LETT |#G105| |p1| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |#G106| |p2| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |p0| |#G105| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |p1| |#G106| - |DFLOAT;rationalApproximation;$2NniF;84|)) + (LETT |#G111| |p1| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |#G112| |p2| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |p0| |#G111| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |p1| |#G112| + |DFLOAT;rationalApproximation;$2NniF;87|)) (PROGN - (LETT |#G107| |q1| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |#G108| |q2| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |q0| |#G107| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |q1| |#G108| - |DFLOAT;rationalApproximation;$2NniF;84|)) + (LETT |#G113| |q1| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |#G114| |q2| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |q0| |#G113| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |q1| |#G114| + |DFLOAT;rationalApproximation;$2NniF;87|)) (EXIT (PROGN - (LETT |#G109| |t| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |#G110| |r| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |s| |#G109| - |DFLOAT;rationalApproximation;$2NniF;84|) - (LETT |t| |#G110| - |DFLOAT;rationalApproximation;$2NniF;84|)))) + (LETT |#G115| |t| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |#G116| |r| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |s| |#G115| + |DFLOAT;rationalApproximation;$2NniF;87|) + (LETT |t| |#G116| + |DFLOAT;rationalApproximation;$2NniF;87|)))) NIL (GO G190) G191 (EXIT NIL))))))))) ('T @@ -833,35 +853,35 @@ (|check-subtype| (NOT (< |ex| 0)) '(|NonNegativeInteger|) |ex|)))) - (|getShellEntry| $ 142))))))) + (|getShellEntry| $ 146))))))) #1# (EXIT #1#))))) -(DEFUN |DFLOAT;**;$F$;85| (|x| |r| $) - (PROG (|n| |d| #0=#:G1549) +(DEFUN |DFLOAT;**;$F$;88| (|x| |r| $) + (PROG (|n| |d| #0=#:G1552) (RETURN (SEQ (EXIT (COND ((ZEROP |x|) (COND - ((SPADCALL |r| (|getShellEntry| $ 143)) + ((SPADCALL |r| (|getShellEntry| $ 147)) (|error| "0**0 is undefined")) - ((SPADCALL |r| (|getShellEntry| $ 144)) + ((SPADCALL |r| (|getShellEntry| $ 148)) (|error| "division by 0")) ('T 0.0))) - ((OR (SPADCALL |r| (|getShellEntry| $ 143)) + ((OR (SPADCALL |r| (|getShellEntry| $ 147)) (= |x| 1.0)) 1.0) ('T (COND - ((SPADCALL |r| (|getShellEntry| $ 145)) |x|) + ((SPADCALL |r| (|getShellEntry| $ 149)) |x|) ('T (SEQ (LETT |n| (SPADCALL |r| - (|getShellEntry| $ 146)) - |DFLOAT;**;$F$;85|) + (|getShellEntry| $ 150)) + |DFLOAT;**;$F$;88|) (LETT |d| (SPADCALL |r| - (|getShellEntry| $ 147)) - |DFLOAT;**;$F$;85|) + (|getShellEntry| $ 151)) + |DFLOAT;**;$F$;88|) (EXIT (COND ((MINUSP |x|) (COND @@ -871,23 +891,23 @@ (PROGN (LETT #0# (- - (|DFLOAT;**;$F$;85| + (|DFLOAT;**;$F$;88| (- |x|) |r| $)) - |DFLOAT;**;$F$;85|) + |DFLOAT;**;$F$;88|) (GO #0#))) ('T (PROGN (LETT #0# - (|DFLOAT;**;$F$;85| + (|DFLOAT;**;$F$;88| (- |x|) |r| $) - |DFLOAT;**;$F$;85|) + |DFLOAT;**;$F$;88|) (GO #0#))))) ('T (|error| "negative root")))) ((EQL |d| 2) - (EXPT (|DFLOAT;sqrt;2$;30| |x| $) + (EXPT (|DFLOAT;sqrt;2$;33| |x| $) |n|)) ('T - (|DFLOAT;**;3$;33| |x| + (|DFLOAT;**;3$;36| |x| (/ (FLOAT |n| |$DoubleFloatMaximum|) @@ -899,7 +919,7 @@ (DEFUN |DoubleFloat| () (PROG () (RETURN - (PROG (#0=#:G1561) + (PROG (#0=#:G1564) (RETURN (COND ((LETT #0# (HGET |$ConstructorCache| '|DoubleFloat|) @@ -920,7 +940,7 @@ (RETURN (PROGN (LETT |dv$| '(|DoubleFloat|) . #0=(|DoubleFloat|)) - (LETT $ (|newShell| 161) . #0#) + (LETT $ (|newShell| 165) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) @@ -932,7 +952,7 @@ (LIST '#(NIL NIL NIL NIL NIL NIL (|OpenMathEncoding|) (0 . |OMencodingXML|) (|String|) (|OpenMathDevice|) (4 . |OMopenString|) (|Void|) (10 . |OMputObject|) - (|DoubleFloat|) |DFLOAT;convert;2$;73| (15 . |OMputFloat|) + (|DoubleFloat|) |DFLOAT;convert;2$;76| (15 . |OMputFloat|) (21 . |OMputEndObject|) (26 . |OMclose|) |DFLOAT;OMwrite;$S;1| (|Boolean|) |DFLOAT;OMwrite;$BS;2| |DFLOAT;OMwrite;Omd$V;3| |DFLOAT;OMwrite;Omd$BV;4| @@ -941,89 +961,91 @@ (|PositiveInteger|) |DFLOAT;base;Pi;6| (|Integer|) |DFLOAT;mantissa;$I;7| |DFLOAT;exponent;$I;8| |DFLOAT;precision;Pi;9| (31 . |base|) (35 . =) (41 . *) - (47 . |coerce|) |DFLOAT;log2;2$;37| (52 . *) - |DFLOAT;wholePart;$I;71| |DFLOAT;bits;Pi;10| + (47 . |coerce|) |DFLOAT;log2;2$;40| (52 . *) + |DFLOAT;wholePart;$I;74| |DFLOAT;bits;Pi;10| |DFLOAT;max;$;11| |DFLOAT;min;$;12| (58 . +) (64 . |One|) (68 . -) |DFLOAT;order;$I;13| (CONS IDENTITY (FUNCALL (|dispatchFunction| |DFLOAT;One;$;15|) $)) - |DFLOAT;/;3$;62| |DFLOAT;exp1;$;16| |DFLOAT;pi;$;17| + |DFLOAT;/;3$;65| |DFLOAT;exp1;$;16| |DFLOAT;pi;$;17| (|OutputForm|) (74 . |outputForm|) |DFLOAT;coerce;$Of;18| (|InputForm|) (79 . |convert|) |DFLOAT;convert;$If;19| - |DFLOAT;<;2$B;20| |DFLOAT;-;2$;21| |DFLOAT;+;3$;22| - |DFLOAT;-;3$;23| |DFLOAT;*;3$;24| |DFLOAT;*;I2$;25| - |DFLOAT;max;3$;26| |DFLOAT;min;3$;27| |DFLOAT;=;2$B;28| - |DFLOAT;/;$I$;29| |DFLOAT;sqrt;2$;30| |DFLOAT;log10;2$;31| - |DFLOAT;**;$I$;32| |DFLOAT;**;3$;33| |DFLOAT;coerce;I$;34| - |DFLOAT;exp;2$;35| |DFLOAT;log;2$;36| |DFLOAT;sin;2$;38| - |DFLOAT;cos;2$;39| |DFLOAT;tan;2$;40| |DFLOAT;cot;2$;41| - |DFLOAT;sec;2$;42| |DFLOAT;csc;2$;43| |DFLOAT;asin;2$;44| - |DFLOAT;acos;2$;45| |DFLOAT;atan;2$;46| - |DFLOAT;acsc;2$;47| |DFLOAT;acot;2$;48| - |DFLOAT;asec;2$;49| |DFLOAT;sinh;2$;50| - |DFLOAT;cosh;2$;51| |DFLOAT;tanh;2$;52| - |DFLOAT;csch;2$;53| |DFLOAT;coth;2$;54| - |DFLOAT;sech;2$;55| |DFLOAT;asinh;2$;56| - |DFLOAT;acosh;2$;57| |DFLOAT;atanh;2$;58| - |DFLOAT;acsch;2$;59| |DFLOAT;acoth;2$;60| - |DFLOAT;asech;2$;61| |DFLOAT;negative?;$B;63| - |DFLOAT;zero?;$B;64| |DFLOAT;one?;$B;65| (|SingleInteger|) - |DFLOAT;hash;$Si;66| (|Union| $ '"failed") - |DFLOAT;recip;$U;67| |DFLOAT;differentiate;2$;68| - (|DoubleFloatSpecialFunctions|) (84 . |Gamma|) - |DFLOAT;Gamma;2$;69| (89 . |Beta|) |DFLOAT;Beta;3$;70| - |DFLOAT;float;2IPi$;72| (|Float|) (95 . |convert|) - |DFLOAT;convert;$F;74| (|Fraction| 26) + |DFLOAT;<;2$B;20| |DFLOAT;>;2$B;21| (84 . |not|) + |DFLOAT;<=;2$B;22| |DFLOAT;>=;2$B;23| |DFLOAT;-;2$;24| + |DFLOAT;+;3$;25| |DFLOAT;-;3$;26| |DFLOAT;*;3$;27| + |DFLOAT;*;I2$;28| |DFLOAT;max;3$;29| |DFLOAT;min;3$;30| + |DFLOAT;=;2$B;31| |DFLOAT;/;$I$;32| |DFLOAT;sqrt;2$;33| + |DFLOAT;log10;2$;34| |DFLOAT;**;$I$;35| |DFLOAT;**;3$;36| + |DFLOAT;coerce;I$;37| |DFLOAT;exp;2$;38| + |DFLOAT;log;2$;39| |DFLOAT;sin;2$;41| |DFLOAT;cos;2$;42| + |DFLOAT;tan;2$;43| |DFLOAT;cot;2$;44| |DFLOAT;sec;2$;45| + |DFLOAT;csc;2$;46| |DFLOAT;asin;2$;47| |DFLOAT;acos;2$;48| + |DFLOAT;atan;2$;49| |DFLOAT;acsc;2$;50| + |DFLOAT;acot;2$;51| |DFLOAT;asec;2$;52| + |DFLOAT;sinh;2$;53| |DFLOAT;cosh;2$;54| + |DFLOAT;tanh;2$;55| |DFLOAT;csch;2$;56| + |DFLOAT;coth;2$;57| |DFLOAT;sech;2$;58| + |DFLOAT;asinh;2$;59| |DFLOAT;acosh;2$;60| + |DFLOAT;atanh;2$;61| |DFLOAT;acsch;2$;62| + |DFLOAT;acoth;2$;63| |DFLOAT;asech;2$;64| + |DFLOAT;negative?;$B;66| |DFLOAT;zero?;$B;67| + |DFLOAT;one?;$B;68| (|SingleInteger|) |DFLOAT;hash;$Si;69| + (|Union| $ '"failed") |DFLOAT;recip;$U;70| + |DFLOAT;differentiate;2$;71| + (|DoubleFloatSpecialFunctions|) (89 . |Gamma|) + |DFLOAT;Gamma;2$;72| (94 . |Beta|) |DFLOAT;Beta;3$;73| + |DFLOAT;float;2IPi$;75| (|Float|) (100 . |convert|) + |DFLOAT;convert;$F;77| (|Fraction| 26) (|NonNegativeInteger|) - |DFLOAT;rationalApproximation;$2NniF;84| - |DFLOAT;rationalApproximation;$NniF;75| (100 . |Zero|) - |DFLOAT;abs;2$;82| |DFLOAT;atan;3$;76| (104 . |One|) - |DFLOAT;retract;$F;77| (|Union| 112 '"failed") - |DFLOAT;retractIfCan;$U;78| |DFLOAT;retract;$I;79| - (|Union| 26 '"failed") |DFLOAT;retractIfCan;$U;80| - |DFLOAT;sign;$I;81| (108 . *) (114 . **) (120 . |Zero|) - (124 . |Zero|) (128 . <) (134 . -) (139 . **) (145 . <) - (151 . **) + |DFLOAT;rationalApproximation;$2NniF;87| + |DFLOAT;rationalApproximation;$NniF;78| (105 . |Zero|) + |DFLOAT;abs;2$;85| |DFLOAT;atan;3$;79| (109 . |One|) + |DFLOAT;retract;$F;80| (|Union| 116 '"failed") + |DFLOAT;retractIfCan;$U;81| |DFLOAT;retract;$I;82| + (|Union| 26 '"failed") |DFLOAT;retractIfCan;$U;83| + |DFLOAT;sign;$I;84| (113 . *) (119 . **) (125 . |Zero|) + (129 . |Zero|) (133 . <) (139 . -) (144 . **) (150 . <) + (156 . **) (|Record| (|:| |quotient| $) (|:| |remainder| $)) - (157 . |divide|) (163 . =) (169 . /) (175 . |abs|) - (180 . *) (186 . |coerce|) (191 . |zero?|) - (196 . |negative?|) (201 . |one?|) (206 . |numer|) - (211 . |denom|) (216 . |odd?|) |DFLOAT;**;$F$;85| - (|PatternMatchResult| 109 $) (|Pattern| 109) - (|Factored| $) (|List| $) (|Union| 153 '"failed") + (162 . |divide|) (168 . =) (174 . /) (180 . |abs|) + (185 . *) (191 . |coerce|) (196 . |zero?|) + (201 . |negative?|) (206 . |one?|) (211 . |numer|) + (216 . |denom|) (221 . |odd?|) |DFLOAT;**;$F$;88| + (|PatternMatchResult| 113 $) (|Pattern| 113) + (|Factored| $) (|List| $) (|Union| 157 '"failed") (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) (|Record| (|:| |coef1| $) (|:| |coef2| $)) - (|Union| 156 '"failed") - (|Record| (|:| |coef| 153) (|:| |generator| $)) + (|Union| 160 '"failed") + (|Record| (|:| |coef| 157) (|:| |generator| $)) (|SparseUnivariatePolynomial| $) (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $))) - '#(~= 221 |zero?| 227 |wholePart| 232 |unitNormal| 237 - |unitCanonical| 242 |unit?| 247 |truncate| 252 |tanh| 257 - |tan| 262 |subtractIfCan| 267 |squareFreePart| 273 - |squareFree| 278 |sqrt| 283 |sizeLess?| 288 |sinh| 294 - |sin| 299 |sign| 304 |sech| 309 |sec| 314 |sample| 319 - |round| 323 |retractIfCan| 328 |retract| 338 |rem| 348 - |recip| 354 |rationalApproximation| 359 |quo| 372 - |principalIdeal| 378 |prime?| 383 |precision| 388 - |positive?| 392 |pi| 397 |patternMatch| 401 |order| 408 - |one?| 413 |nthRoot| 418 |norm| 424 |negative?| 429 - |multiEuclidean| 434 |min| 440 |max| 450 |mantissa| 460 - |log2| 465 |log10| 470 |log| 475 |lcm| 480 |latex| 491 - |inv| 496 |hash| 501 |gcdPolynomial| 506 |gcd| 512 - |fractionPart| 523 |floor| 528 |float| 533 |factor| 546 - |extendedEuclidean| 551 |exquo| 564 |expressIdealMember| - 570 |exponent| 576 |exp1| 581 |exp| 585 |euclideanSize| - 590 |divide| 595 |digits| 601 |differentiate| 605 |csch| - 616 |csc| 621 |coth| 626 |cot| 631 |cosh| 636 |cos| 641 - |convert| 646 |coerce| 666 |characteristic| 696 |ceiling| - 700 |bits| 705 |before?| 709 |base| 715 |atanh| 719 |atan| - 724 |associates?| 735 |asinh| 741 |asin| 746 |asech| 751 - |asec| 756 |acsch| 761 |acsc| 766 |acoth| 771 |acot| 776 - |acosh| 781 |acos| 786 |abs| 791 |Zero| 796 |One| 800 - |OMwrite| 804 |Gamma| 828 D 833 |Beta| 844 >= 850 > 856 = - 862 <= 868 < 874 / 880 - 892 + 903 ** 909 * 939) + '#(~= 226 |zero?| 232 |wholePart| 237 |unitNormal| 242 + |unitCanonical| 247 |unit?| 252 |truncate| 257 |tanh| 262 + |tan| 267 |subtractIfCan| 272 |squareFreePart| 278 + |squareFree| 283 |sqrt| 288 |sizeLess?| 293 |sinh| 299 + |sin| 304 |sign| 309 |sech| 314 |sec| 319 |sample| 324 + |round| 328 |retractIfCan| 333 |retract| 343 |rem| 353 + |recip| 359 |rationalApproximation| 364 |quo| 377 + |principalIdeal| 383 |prime?| 388 |precision| 393 + |positive?| 397 |pi| 402 |patternMatch| 406 |order| 413 + |one?| 418 |nthRoot| 423 |norm| 429 |negative?| 434 + |multiEuclidean| 439 |min| 445 |max| 455 |mantissa| 465 + |log2| 470 |log10| 475 |log| 480 |lcm| 485 |latex| 496 + |inv| 501 |hash| 506 |gcdPolynomial| 511 |gcd| 517 + |fractionPart| 528 |floor| 533 |float| 538 |factor| 551 + |extendedEuclidean| 556 |exquo| 569 |expressIdealMember| + 575 |exponent| 581 |exp1| 586 |exp| 590 |euclideanSize| + 595 |divide| 600 |digits| 606 |differentiate| 610 |csch| + 621 |csc| 626 |coth| 631 |cot| 636 |cosh| 641 |cos| 646 + |convert| 651 |coerce| 671 |characteristic| 701 |ceiling| + 705 |bits| 710 |before?| 714 |base| 720 |atanh| 724 |atan| + 729 |associates?| 740 |asinh| 746 |asin| 751 |asech| 756 + |asec| 761 |acsch| 766 |acsc| 771 |acoth| 776 |acot| 781 + |acosh| 786 |acos| 791 |abs| 796 |Zero| 801 |One| 805 + |OMwrite| 809 |Gamma| 833 D 838 |Beta| 849 >= 855 > 861 = + 867 <= 873 < 879 / 885 - 897 + 908 ** 914 * 944) '((|approximate| . 0) (|canonicalsClosed| . 0) (|canonicalUnitNormal| . 0) (|noZeroDivisors| . 0) ((|commutative| "*") . 0) (|rightUnitary| . 0) @@ -1058,14 +1080,14 @@ (|PrincipalIdealDomain|) (|UniqueFactorizationDomain|) (|GcdDomain|) (|DivisionRing|) - (|IntegralDomain|) (|Algebra| 112) + (|IntegralDomain|) (|Algebra| 116) (|Algebra| $$) (|DifferentialRing|) (|CharacteristicZero|) (|OrderedRing|) - (|Module| 112) (|EntireRing|) + (|Module| 116) (|EntireRing|) (|CommutativeRing|) (|Module| $$) - (|BiModule| 112 112) (|BiModule| $$ $$) + (|BiModule| 116 116) (|BiModule| $$ $$) (|Ring|) (|OrderedAbelianGroup|) - (|RightModule| 112) (|LeftModule| 112) + (|RightModule| 116) (|LeftModule| 116) (|LeftModule| $$) (|Rng|) (|RightModule| $$) (|OrderedCancellationAbelianMonoid|) @@ -1073,17 +1095,17 @@ (|OrderedAbelianMonoid|) (|CancellationAbelianMonoid|) (|OrderedAbelianSemiGroup|) - (|LinearSet| 112) (|LinearSet| $$) + (|LinearSet| 116) (|LinearSet| $$) (|AbelianMonoid|) (|Monoid|) - (|PatternMatchable| 109) (|OrderedSet|) - (|LeftLinearSet| 112) - (|RightLinearSet| 112) + (|PatternMatchable| 113) (|OrderedSet|) + (|LeftLinearSet| 116) + (|RightLinearSet| 116) (|LeftLinearSet| $$) (|RightLinearSet| $$) (|AbelianSemiGroup|) (|SemiGroup|) (|LeftLinearSet| 26) (|TranscendentalFunctionCategory|) - (|RetractableTo| 112) + (|RetractableTo| 116) (|RetractableTo| 26) (|RealConstant|) (|SetCategory|) (|ConvertibleTo| 51) (|ElementaryFunctionCategory|) @@ -1091,79 +1113,79 @@ (|HyperbolicFunctionCategory|) (|ArcTrigonometricFunctionCategory|) (|TrigonometricFunctionCategory|) - (|OpenMath|) (|ConvertibleTo| 151) + (|OpenMath|) (|ConvertibleTo| 155) (|RadicalCategory|) - (|ConvertibleTo| 109) + (|ConvertibleTo| 113) (|ConvertibleTo| 13) - (|CoercibleFrom| 112) + (|CoercibleFrom| 116) (|CoercibleFrom| $$) (|CoercibleFrom| 26) (|BasicType|) (|CoercibleTo| 48)) - (|makeByteWordVec2| 160 + (|makeByteWordVec2| 164 '(0 6 0 7 2 9 0 8 6 10 1 9 11 0 12 2 9 11 0 13 15 1 9 11 0 16 1 9 11 0 17 0 26 0 30 2 24 19 0 0 31 2 24 0 24 0 32 1 0 0 26 33 2 0 0 24 0 35 2 26 0 0 0 40 0 26 0 41 2 26 0 0 0 42 1 48 0 13 - 49 1 51 0 13 52 1 103 13 13 104 2 103 - 13 13 13 106 1 109 0 13 110 0 26 0 - 116 0 24 0 119 2 26 0 26 0 127 2 26 0 - 0 113 128 0 112 0 129 0 113 0 130 2 - 26 19 0 0 131 1 26 0 0 132 2 24 0 0 - 113 133 2 113 19 0 0 134 2 113 0 0 - 113 135 2 26 136 0 0 137 2 26 19 0 0 - 138 2 112 0 26 26 139 1 26 0 0 140 2 - 26 0 113 0 141 1 112 0 26 142 1 112 - 19 0 143 1 112 19 0 144 1 112 19 0 - 145 1 112 26 0 146 1 112 26 0 147 1 - 26 19 0 148 2 0 19 0 0 1 1 0 19 0 96 - 1 0 26 0 36 1 0 160 0 1 1 0 0 0 1 1 0 - 19 0 1 1 0 0 0 1 1 0 0 0 85 1 0 0 0 - 73 2 0 100 0 0 1 1 0 0 0 1 1 0 152 0 - 1 1 0 0 0 64 2 0 19 0 0 1 1 0 0 0 83 - 1 0 0 0 71 1 0 26 0 126 1 0 0 0 88 1 - 0 0 0 75 0 0 0 1 1 0 0 0 1 1 0 121 0 - 122 1 0 124 0 125 1 0 112 0 120 1 0 - 26 0 123 2 0 0 0 0 1 1 0 100 0 101 2 - 0 112 0 113 115 3 0 112 0 113 113 114 - 2 0 0 0 0 1 1 0 158 153 1 1 0 19 0 1 - 0 0 24 29 1 0 19 0 1 0 0 0 47 3 0 150 - 0 151 150 1 1 0 26 0 43 1 0 19 0 97 2 - 0 0 0 26 1 1 0 0 0 1 1 0 19 0 95 2 0 - 154 153 0 1 0 0 0 39 2 0 0 0 0 61 0 0 - 0 38 2 0 0 0 0 60 1 0 26 0 27 1 0 0 0 - 34 1 0 0 0 65 1 0 0 0 70 1 0 0 153 1 - 2 0 0 0 0 1 1 0 8 0 1 1 0 0 0 1 1 0 - 98 0 99 2 0 159 159 159 1 1 0 0 153 1 - 2 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 3 0 0 - 26 26 24 108 2 0 0 26 26 1 1 0 152 0 - 1 2 0 155 0 0 1 3 0 157 0 0 0 1 2 0 - 100 0 0 1 2 0 154 153 0 1 1 0 26 0 28 - 0 0 0 46 1 0 0 0 69 1 0 113 0 1 2 0 - 136 0 0 1 0 0 24 1 1 0 0 0 102 2 0 0 - 0 113 1 1 0 0 0 86 1 0 0 0 76 1 0 0 0 - 87 1 0 0 0 74 1 0 0 0 84 1 0 0 0 72 1 - 0 51 0 53 1 0 151 0 1 1 0 109 0 111 1 - 0 13 0 14 1 0 0 112 1 1 0 0 26 68 1 0 - 0 112 1 1 0 0 0 1 1 0 0 26 68 1 0 48 - 0 50 0 0 113 1 1 0 0 0 1 0 0 24 37 2 - 0 19 0 0 1 0 0 24 25 1 0 0 0 91 2 0 0 - 0 0 118 1 0 0 0 79 2 0 19 0 0 1 1 0 0 - 0 89 1 0 0 0 77 1 0 0 0 94 1 0 0 0 82 - 1 0 0 0 92 1 0 0 0 80 1 0 0 0 93 1 0 - 0 0 81 1 0 0 0 90 1 0 0 0 78 1 0 0 0 - 117 0 0 0 23 0 0 0 44 2 0 11 9 0 21 3 - 0 11 9 0 19 22 1 0 8 0 18 2 0 8 0 19 - 20 1 0 0 0 105 1 0 0 0 1 2 0 0 0 113 - 1 2 0 0 0 0 107 2 0 19 0 0 1 2 0 19 0 - 0 1 2 0 19 0 0 62 2 0 19 0 0 1 2 0 19 - 0 0 54 2 0 0 0 26 63 2 0 0 0 0 45 2 0 - 0 0 0 57 1 0 0 0 55 2 0 0 0 0 56 2 0 - 0 0 0 67 2 0 0 0 112 149 2 0 0 0 26 - 66 2 0 0 0 113 1 2 0 0 0 24 1 2 0 0 - 112 0 1 2 0 0 0 112 1 2 0 0 0 0 58 2 - 0 0 26 0 59 2 0 0 113 0 1 2 0 0 24 0 - 35))))) + 49 1 51 0 13 52 1 19 0 0 56 1 107 13 + 13 108 2 107 13 13 13 110 1 113 0 13 + 114 0 26 0 120 0 24 0 123 2 26 0 26 0 + 131 2 26 0 0 117 132 0 116 0 133 0 + 117 0 134 2 26 19 0 0 135 1 26 0 0 + 136 2 24 0 0 117 137 2 117 19 0 0 138 + 2 117 0 0 117 139 2 26 140 0 0 141 2 + 26 19 0 0 142 2 116 0 26 26 143 1 26 + 0 0 144 2 26 0 117 0 145 1 116 0 26 + 146 1 116 19 0 147 1 116 19 0 148 1 + 116 19 0 149 1 116 26 0 150 1 116 26 + 0 151 1 26 19 0 152 2 0 19 0 0 1 1 0 + 19 0 100 1 0 26 0 36 1 0 164 0 1 1 0 + 0 0 1 1 0 19 0 1 1 0 0 0 1 1 0 0 0 89 + 1 0 0 0 77 2 0 104 0 0 1 1 0 0 0 1 1 + 0 156 0 1 1 0 0 0 68 2 0 19 0 0 1 1 0 + 0 0 87 1 0 0 0 75 1 0 26 0 130 1 0 0 + 0 92 1 0 0 0 79 0 0 0 1 1 0 0 0 1 1 0 + 125 0 126 1 0 128 0 129 1 0 116 0 124 + 1 0 26 0 127 2 0 0 0 0 1 1 0 104 0 + 105 2 0 116 0 117 119 3 0 116 0 117 + 117 118 2 0 0 0 0 1 1 0 162 157 1 1 0 + 19 0 1 0 0 24 29 1 0 19 0 1 0 0 0 47 + 3 0 154 0 155 154 1 1 0 26 0 43 1 0 + 19 0 101 2 0 0 0 26 1 1 0 0 0 1 1 0 + 19 0 99 2 0 158 157 0 1 0 0 0 39 2 0 + 0 0 0 65 0 0 0 38 2 0 0 0 0 64 1 0 26 + 0 27 1 0 0 0 34 1 0 0 0 69 1 0 0 0 74 + 1 0 0 157 1 2 0 0 0 0 1 1 0 8 0 1 1 0 + 0 0 1 1 0 102 0 103 2 0 163 163 163 1 + 1 0 0 157 1 2 0 0 0 0 1 1 0 0 0 1 1 0 + 0 0 1 3 0 0 26 26 24 112 2 0 0 26 26 + 1 1 0 156 0 1 2 0 159 0 0 1 3 0 161 0 + 0 0 1 2 0 104 0 0 1 2 0 158 157 0 1 1 + 0 26 0 28 0 0 0 46 1 0 0 0 73 1 0 117 + 0 1 2 0 140 0 0 1 0 0 24 1 1 0 0 0 + 106 2 0 0 0 117 1 1 0 0 0 90 1 0 0 0 + 80 1 0 0 0 91 1 0 0 0 78 1 0 0 0 88 1 + 0 0 0 76 1 0 51 0 53 1 0 155 0 1 1 0 + 113 0 115 1 0 13 0 14 1 0 0 116 1 1 0 + 0 26 72 1 0 0 116 1 1 0 0 0 1 1 0 0 + 26 72 1 0 48 0 50 0 0 117 1 1 0 0 0 1 + 0 0 24 37 2 0 19 0 0 1 0 0 24 25 1 0 + 0 0 95 2 0 0 0 0 122 1 0 0 0 83 2 0 + 19 0 0 1 1 0 0 0 93 1 0 0 0 81 1 0 0 + 0 98 1 0 0 0 86 1 0 0 0 96 1 0 0 0 84 + 1 0 0 0 97 1 0 0 0 85 1 0 0 0 94 1 0 + 0 0 82 1 0 0 0 121 0 0 0 23 0 0 0 44 + 2 0 11 9 0 21 3 0 11 9 0 19 22 1 0 8 + 0 18 2 0 8 0 19 20 1 0 0 0 109 1 0 0 + 0 1 2 0 0 0 117 1 2 0 0 0 0 111 2 0 + 19 0 0 58 2 0 19 0 0 55 2 0 19 0 0 66 + 2 0 19 0 0 57 2 0 19 0 0 54 2 0 0 0 + 26 67 2 0 0 0 0 45 2 0 0 0 0 61 1 0 0 + 0 59 2 0 0 0 0 60 2 0 0 0 0 71 2 0 0 + 0 116 153 2 0 0 0 26 70 2 0 0 0 117 1 + 2 0 0 0 24 1 2 0 0 116 0 1 2 0 0 0 + 116 1 2 0 0 0 0 62 2 0 0 26 0 63 2 0 + 0 117 0 1 2 0 0 24 0 35))))) '|lookupComplete|)) (MAKEPROP '|DoubleFloat| 'NILADIC T) diff --git a/src/algebra/strap/INT.lsp b/src/algebra/strap/INT.lsp index 038285e5..6ec84ec3 100644 --- a/src/algebra/strap/INT.lsp +++ b/src/algebra/strap/INT.lsp @@ -149,87 +149,98 @@ (PUT '|INT;<;2$B;35| '|SPADreplace| '<) +(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Boolean|) + |INT;>;2$B;36|)) + +(PUT '|INT;>;2$B;36| '|SPADreplace| '>) + +(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Boolean|) + |INT;<=;2$B;37|)) + +(DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Boolean|) + |INT;>=;2$B;38|)) + (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) - |INT;-;2$;36|)) + |INT;-;2$;39|)) -(PUT '|INT;-;2$;36| '|SPADreplace| '-) +(PUT '|INT;-;2$;39| '|SPADreplace| '-) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;+;3$;37|)) + |INT;+;3$;40|)) -(PUT '|INT;+;3$;37| '|SPADreplace| '+) +(PUT '|INT;+;3$;40| '|SPADreplace| '+) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;-;3$;38|)) + |INT;-;3$;41|)) -(PUT '|INT;-;3$;38| '|SPADreplace| '-) +(PUT '|INT;-;3$;41| '|SPADreplace| '-) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;*;3$;39|)) + |INT;*;3$;42|)) -(PUT '|INT;*;3$;39| '|SPADreplace| '*) +(PUT '|INT;*;3$;42| '|SPADreplace| '*) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;*;3$;40|)) + |INT;*;3$;43|)) -(PUT '|INT;*;3$;40| '|SPADreplace| '*) +(PUT '|INT;*;3$;43| '|SPADreplace| '*) (DECLAIM (FTYPE (FUNCTION (|%Integer| (|%IntegerSection| 0) |%Shell|) |%Integer|) - |INT;**;$Nni$;41|)) + |INT;**;$Nni$;44|)) -(PUT '|INT;**;$Nni$;41| '|SPADreplace| 'EXPT) +(PUT '|INT;**;$Nni$;44| '|SPADreplace| 'EXPT) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Boolean|) - |INT;odd?;$B;42|)) + |INT;odd?;$B;45|)) -(PUT '|INT;odd?;$B;42| '|SPADreplace| 'ODDP) +(PUT '|INT;odd?;$B;45| '|SPADreplace| 'ODDP) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;max;3$;43|)) + |INT;max;3$;46|)) -(PUT '|INT;max;3$;43| '|SPADreplace| 'MAX) +(PUT '|INT;max;3$;46| '|SPADreplace| 'MAX) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;min;3$;44|)) + |INT;min;3$;47|)) -(PUT '|INT;min;3$;44| '|SPADreplace| 'MIN) +(PUT '|INT;min;3$;47| '|SPADreplace| 'MIN) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Pair|) - |INT;divide;2$R;45|)) + |INT;divide;2$R;48|)) -(PUT '|INT;divide;2$R;45| '|SPADreplace| 'DIVIDE2) +(PUT '|INT;divide;2$R;48| '|SPADreplace| 'DIVIDE2) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;quo;3$;46|)) + |INT;quo;3$;49|)) -(PUT '|INT;quo;3$;46| '|SPADreplace| 'QUOTIENT2) +(PUT '|INT;quo;3$;49| '|SPADreplace| 'QUOTIENT2) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;rem;3$;47|)) + |INT;rem;3$;50|)) -(PUT '|INT;rem;3$;47| '|SPADreplace| 'REMAINDER2) +(PUT '|INT;rem;3$;50| '|SPADreplace| 'REMAINDER2) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;shift;3$;48|)) + |INT;shift;3$;51|)) -(PUT '|INT;shift;3$;48| '|SPADreplace| 'ASH) +(PUT '|INT;shift;3$;51| '|SPADreplace| 'ASH) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Pair|) - |INT;recip;$U;49|)) + |INT;recip;$U;52|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) - |INT;gcd;3$;50|)) + |INT;gcd;3$;53|)) -(PUT '|INT;gcd;3$;50| '|SPADreplace| 'GCD) +(PUT '|INT;gcd;3$;53| '|SPADreplace| 'GCD) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Shell|) - |INT;unitNormal;$R;51|)) + |INT;unitNormal;$R;54|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) - |INT;unitCanonical;2$;52|)) + |INT;unitCanonical;2$;55|)) -(PUT '|INT;unitCanonical;2$;52| '|SPADreplace| 'ABS) +(PUT '|INT;unitCanonical;2$;55| '|SPADreplace| 'ABS) (DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|) |INT;solveLinearPolynomialEquation|)) @@ -244,7 +255,7 @@ |INT;factorSquareFreePolynomial|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) - |INT;gcdPolynomial;3Sup;57|)) + |INT;gcdPolynomial;3Sup;60|)) (DEFUN |INT;writeOMInt| (|dev| |x| $) (SEQ (COND @@ -398,107 +409,113 @@ (DEFUN |INT;<;2$B;35| (|x| |y| $) (DECLARE (IGNORE $)) (< |x| |y|)) -(DEFUN |INT;-;2$;36| (|x| $) (DECLARE (IGNORE $)) (- |x|)) +(DEFUN |INT;>;2$B;36| (|x| |y| $) (DECLARE (IGNORE $)) (> |x| |y|)) + +(DEFUN |INT;<=;2$B;37| (|x| |y| $) (NOT (> |x| |y|))) + +(DEFUN |INT;>=;2$B;38| (|x| |y| $) (NOT (< |x| |y|))) + +(DEFUN |INT;-;2$;39| (|x| $) (DECLARE (IGNORE $)) (- |x|)) -(DEFUN |INT;+;3$;37| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|)) +(DEFUN |INT;+;3$;40| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|)) -(DEFUN |INT;-;3$;38| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|)) +(DEFUN |INT;-;3$;41| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|)) -(DEFUN |INT;*;3$;39| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|)) +(DEFUN |INT;*;3$;42| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|)) -(DEFUN |INT;*;3$;40| (|m| |y| $) (DECLARE (IGNORE $)) (* |m| |y|)) +(DEFUN |INT;*;3$;43| (|m| |y| $) (DECLARE (IGNORE $)) (* |m| |y|)) -(DEFUN |INT;**;$Nni$;41| (|x| |n| $) +(DEFUN |INT;**;$Nni$;44| (|x| |n| $) (DECLARE (IGNORE $)) (EXPT |x| |n|)) -(DEFUN |INT;odd?;$B;42| (|x| $) (DECLARE (IGNORE $)) (ODDP |x|)) +(DEFUN |INT;odd?;$B;45| (|x| $) (DECLARE (IGNORE $)) (ODDP |x|)) -(DEFUN |INT;max;3$;43| (|x| |y| $) (DECLARE (IGNORE $)) (MAX |x| |y|)) +(DEFUN |INT;max;3$;46| (|x| |y| $) (DECLARE (IGNORE $)) (MAX |x| |y|)) -(DEFUN |INT;min;3$;44| (|x| |y| $) (DECLARE (IGNORE $)) (MIN |x| |y|)) +(DEFUN |INT;min;3$;47| (|x| |y| $) (DECLARE (IGNORE $)) (MIN |x| |y|)) -(DEFUN |INT;divide;2$R;45| (|x| |y| $) +(DEFUN |INT;divide;2$R;48| (|x| |y| $) (DECLARE (IGNORE $)) (DIVIDE2 |x| |y|)) -(DEFUN |INT;quo;3$;46| (|x| |y| $) +(DEFUN |INT;quo;3$;49| (|x| |y| $) (DECLARE (IGNORE $)) (QUOTIENT2 |x| |y|)) -(DEFUN |INT;rem;3$;47| (|x| |y| $) +(DEFUN |INT;rem;3$;50| (|x| |y| $) (DECLARE (IGNORE $)) (REMAINDER2 |x| |y|)) -(DEFUN |INT;shift;3$;48| (|x| |y| $) +(DEFUN |INT;shift;3$;51| (|x| |y| $) (DECLARE (IGNORE $)) (ASH |x| |y|)) -(DEFUN |INT;recip;$U;49| (|x| $) +(DEFUN |INT;recip;$U;52| (|x| $) (COND ((OR (EQL |x| 1) (EQL |x| -1)) (CONS 0 |x|)) ('T (CONS 1 "failed")))) -(DEFUN |INT;gcd;3$;50| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|)) +(DEFUN |INT;gcd;3$;53| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|)) -(DEFUN |INT;unitNormal;$R;51| (|x| $) +(DEFUN |INT;unitNormal;$R;54| (|x| $) (COND ((< |x| 0) (VECTOR -1 (- |x|) -1)) ('T (VECTOR 1 |x| 1)))) -(DEFUN |INT;unitCanonical;2$;52| (|x| $) +(DEFUN |INT;unitCanonical;2$;55| (|x| $) (DECLARE (IGNORE $)) (ABS |x|)) (DEFUN |INT;solveLinearPolynomialEquation| (|lp| |p| $) - (SPADCALL |lp| |p| (|getShellEntry| $ 99))) + (SPADCALL |lp| |p| (|getShellEntry| $ 103))) (DEFUN |INT;squareFreePolynomial| (|p| $) - (SPADCALL |p| (|getShellEntry| $ 103))) + (SPADCALL |p| (|getShellEntry| $ 107))) (DEFUN |INT;factorPolynomial| (|p| $) - (PROG (|pp| #0=#:G1498) + (PROG (|pp| #0=#:G1501) (RETURN - (SEQ (LETT |pp| (SPADCALL |p| (|getShellEntry| $ 104)) + (SEQ (LETT |pp| (SPADCALL |p| (|getShellEntry| $ 108)) |INT;factorPolynomial|) (EXIT (COND - ((EQL (SPADCALL |pp| (|getShellEntry| $ 105)) - (SPADCALL |p| (|getShellEntry| $ 105))) - (SPADCALL |p| (|getShellEntry| $ 107))) + ((EQL (SPADCALL |pp| (|getShellEntry| $ 109)) + (SPADCALL |p| (|getShellEntry| $ 109))) + (SPADCALL |p| (|getShellEntry| $ 111))) ('T - (SPADCALL (SPADCALL |pp| (|getShellEntry| $ 107)) + (SPADCALL (SPADCALL |pp| (|getShellEntry| $ 111)) (SPADCALL (CONS #'|INT;factorPolynomial!0| $) (SPADCALL (PROG2 (LETT #0# (SPADCALL (SPADCALL |p| - (|getShellEntry| $ 105)) + (|getShellEntry| $ 109)) (SPADCALL |pp| - (|getShellEntry| $ 105)) - (|getShellEntry| $ 109)) + (|getShellEntry| $ 109)) + (|getShellEntry| $ 113)) |INT;factorPolynomial|) (QCDR #0#) (|check-union| (QEQCAR #0# 0) $ #0#)) - (|getShellEntry| $ 111)) - (|getShellEntry| $ 115)) - (|getShellEntry| $ 117))))))))) + (|getShellEntry| $ 115)) + (|getShellEntry| $ 119)) + (|getShellEntry| $ 121))))))))) (DEFUN |INT;factorPolynomial!0| (|#1| $) - (SPADCALL |#1| (|getShellEntry| $ 108))) + (SPADCALL |#1| (|getShellEntry| $ 112))) (DEFUN |INT;factorSquareFreePolynomial| (|p| $) - (SPADCALL |p| (|getShellEntry| $ 118))) + (SPADCALL |p| (|getShellEntry| $ 122))) -(DEFUN |INT;gcdPolynomial;3Sup;57| (|p| |q| $) +(DEFUN |INT;gcdPolynomial;3Sup;60| (|p| |q| $) (COND - ((SPADCALL |p| (|getShellEntry| $ 119)) - (SPADCALL |q| (|getShellEntry| $ 120))) - ((SPADCALL |q| (|getShellEntry| $ 119)) - (SPADCALL |p| (|getShellEntry| $ 120))) - ('T (SPADCALL (LIST |p| |q|) (|getShellEntry| $ 123))))) + ((SPADCALL |p| (|getShellEntry| $ 123)) + (SPADCALL |q| (|getShellEntry| $ 124))) + ((SPADCALL |q| (|getShellEntry| $ 123)) + (SPADCALL |p| (|getShellEntry| $ 124))) + ('T (SPADCALL (LIST |p| |q|) (|getShellEntry| $ 127))))) (DEFUN |Integer| () (PROG () (RETURN - (PROG (#0=#:G1523) + (PROG (#0=#:G1526) (RETURN (COND ((LETT #0# (HGET |$ConstructorCache| '|Integer|) |Integer|) @@ -517,15 +534,15 @@ (RETURN (PROGN (LETT |dv$| '(|Integer|) . #0=(|Integer|)) - (LETT $ (|newShell| 138) . #0#) + (LETT $ (|newShell| 142) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) (|haddProp| |$ConstructorCache| '|Integer| NIL (CONS 1 $)) (|stuffDomainSlots| $) - (|setShellEntry| $ 80 + (|setShellEntry| $ 84 (|setShellEntry| $ 52 - (CONS (|dispatchFunction| |INT;*;3$;40|) $))) + (CONS (|dispatchFunction| |INT;*;3$;43|) $))) $)))) (MAKEPROP '|Integer| '|infovec| @@ -535,7 +552,7 @@ (|NonNegativeInteger|) (0 . |Zero|) (|Boolean|) |INT;<;2$B;35| (|Void|) (|OpenMathDevice|) (4 . |OMputApp|) (|String|) (9 . |OMputSymbol|) - |INT;-;2$;36| (|Integer|) (16 . |OMputInteger|) + |INT;-;2$;39| (|Integer|) (16 . |OMputInteger|) (22 . |OMputEndApp|) (|OpenMathEncoding|) (27 . |OMencodingXML|) (31 . |OMopenString|) (37 . |OMputObject|) (42 . |OMputEndObject|) @@ -545,12 +562,12 @@ (CONS IDENTITY (FUNCALL (|dispatchFunction| |INT;One;$;9|) $)) (52 . |One|) |INT;=;2$B;34| |INT;one?;$B;7| - |INT;base;$;10| |INT;copy;2$;11| |INT;+;3$;37| - |INT;inc;2$;12| |INT;-;3$;38| |INT;dec;2$;13| + |INT;base;$;10| |INT;copy;2$;11| |INT;+;3$;40| + |INT;inc;2$;12| |INT;-;3$;41| |INT;dec;2$;13| (|SingleInteger|) |INT;hash;$Si;14| |INT;negative?;$B;15| (|OutputForm|) (56 . |outputForm|) |INT;coerce;$Of;16| |INT;coerce;2$;17| |INT;convert;2$;18| |INT;length;2$;19| - |INT;addmod;4$;20| |INT;submod;4$;21| NIL |INT;rem;3$;47| + |INT;addmod;4$;20| |INT;submod;4$;21| NIL |INT;rem;3$;50| |INT;mulmod;4$;22| (|Float|) (61 . |coerce|) |INT;convert;$F;23| (|DoubleFloat|) (66 . |coerce|) |INT;convert;$Df;24| (|InputForm|) (71 . |convert|) @@ -560,61 +577,63 @@ |INT;reducedSystem;2M;29| (|Vector| 17) (|Record| (|:| |mat| 70) (|:| |vec| 73)) (|Vector| $) |INT;reducedSystem;MVR;30| |INT;abs;2$;31| - |INT;random;$;32| |INT;random;2$;33| NIL |INT;**;$Nni$;41| - |INT;odd?;$B;42| |INT;max;3$;43| |INT;min;3$;44| + |INT;random;$;32| |INT;random;2$;33| |INT;>;2$B;36| + (93 . |not|) |INT;<=;2$B;37| |INT;>=;2$B;38| NIL + |INT;**;$Nni$;44| |INT;odd?;$B;45| |INT;max;3$;46| + |INT;min;3$;47| (|Record| (|:| |quotient| $) (|:| |remainder| $)) - |INT;divide;2$R;45| |INT;quo;3$;46| |INT;shift;3$;48| - (|Union| $ '"failed") |INT;recip;$U;49| |INT;gcd;3$;50| + |INT;divide;2$R;48| |INT;quo;3$;49| |INT;shift;3$;51| + (|Union| $ '"failed") |INT;recip;$U;52| |INT;gcd;3$;53| (|Record| (|:| |unit| $) (|:| |canonical| $) - (|:| |associate| $)) - |INT;unitNormal;$R;51| |INT;unitCanonical;2$;52| - (|SparseUnivariatePolynomial| 17) (|List| 95) - (|Union| 96 '"failed") + (|:| |associate| $)) + |INT;unitNormal;$R;54| |INT;unitCanonical;2$;55| + (|SparseUnivariatePolynomial| 17) (|List| 99) + (|Union| 100 '"failed") (|IntegerSolveLinearPolynomialEquation|) - (93 . |solveLinearPolynomialEquation|) - (|SparseUnivariatePolynomial| $$) (|Factored| 100) - (|UnivariatePolynomialSquareFree| $$ 100) - (99 . |squareFree|) (104 . |primitivePart|) - (109 . |leadingCoefficient|) (|GaloisGroupFactorizer| 100) - (114 . |factor|) (119 . |coerce|) (124 . |exquo|) - (|Factored| $) (130 . |factor|) (|Mapping| 100 $$) - (|Factored| $$) (|FactoredFunctions2| $$ 100) - (135 . |map|) (|FactoredFunctionUtilities| 100) - (141 . |mergeFactors|) (147 . |factorSquareFree|) - (152 . |zero?|) (157 . |unitCanonical|) (|List| 100) - (|HeuGcd| 100) (162 . |gcd|) + (98 . |solveLinearPolynomialEquation|) + (|SparseUnivariatePolynomial| $$) (|Factored| 104) + (|UnivariatePolynomialSquareFree| $$ 104) + (104 . |squareFree|) (109 . |primitivePart|) + (114 . |leadingCoefficient|) (|GaloisGroupFactorizer| 104) + (119 . |factor|) (124 . |coerce|) (129 . |exquo|) + (|Factored| $) (135 . |factor|) (|Mapping| 104 $$) + (|Factored| $$) (|FactoredFunctions2| $$ 104) + (140 . |map|) (|FactoredFunctionUtilities| 104) + (146 . |mergeFactors|) (152 . |factorSquareFree|) + (157 . |zero?|) (162 . |unitCanonical|) (|List| 104) + (|HeuGcd| 104) (167 . |gcd|) (|SparseUnivariatePolynomial| $) - |INT;gcdPolynomial;3Sup;57| (|Fraction| 17) - (|Union| 126 '"failed") (|PatternMatchResult| 17 $) + |INT;gcdPolynomial;3Sup;60| (|Fraction| 17) + (|Union| 130 '"failed") (|PatternMatchResult| 17 $) (|Pattern| 17) (|Union| 17 '"failed") (|List| $) - (|Union| 131 '"failed") - (|Record| (|:| |coef| 131) (|:| |generator| $)) + (|Union| 135 '"failed") + (|Record| (|:| |coef| 135) (|:| |generator| $)) (|Record| (|:| |coef1| $) (|:| |coef2| $)) - (|Union| 134 '"failed") + (|Union| 138 '"failed") (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) (|PositiveInteger|)) - '#(~= 167 |zero?| 173 |unitNormal| 178 |unitCanonical| 183 - |unit?| 188 |symmetricRemainder| 193 |subtractIfCan| 199 - |submod| 205 |squareFreePart| 212 |squareFree| 217 - |sizeLess?| 222 |sign| 228 |shift| 233 |sample| 239 - |retractIfCan| 243 |retract| 248 |rem| 253 |reducedSystem| - 259 |recip| 270 |rationalIfCan| 275 |rational?| 280 - |rational| 285 |random| 290 |quo| 299 |principalIdeal| 305 - |prime?| 310 |powmod| 315 |positiveRemainder| 322 - |positive?| 328 |permutation| 333 |patternMatch| 339 - |one?| 346 |odd?| 351 |nextItem| 356 |negative?| 361 - |multiEuclidean| 366 |mulmod| 372 |min| 379 |max| 385 - |mask| 391 |length| 396 |lcm| 401 |latex| 412 |invmod| 417 - |init| 423 |inc| 427 |hash| 432 |gcdPolynomial| 437 |gcd| - 443 |factorial| 454 |factor| 459 |extendedEuclidean| 464 - |exquo| 477 |expressIdealMember| 483 |even?| 489 - |euclideanSize| 494 |divide| 499 |differentiate| 505 |dec| - 516 |copy| 521 |convert| 526 |coerce| 556 |characteristic| - 576 |bit?| 580 |binomial| 586 |before?| 592 |base| 598 - |associates?| 602 |addmod| 608 |abs| 615 |Zero| 620 |One| - 624 |OMwrite| 628 D 652 >= 663 > 669 = 675 <= 681 < 687 - - 693 + 704 ** 710 * 722) + '#(~= 172 |zero?| 178 |unitNormal| 183 |unitCanonical| 188 + |unit?| 193 |symmetricRemainder| 198 |subtractIfCan| 204 + |submod| 210 |squareFreePart| 217 |squareFree| 222 + |sizeLess?| 227 |sign| 233 |shift| 238 |sample| 244 + |retractIfCan| 248 |retract| 253 |rem| 258 |reducedSystem| + 264 |recip| 275 |rationalIfCan| 280 |rational?| 285 + |rational| 290 |random| 295 |quo| 304 |principalIdeal| 310 + |prime?| 315 |powmod| 320 |positiveRemainder| 327 + |positive?| 333 |permutation| 338 |patternMatch| 344 + |one?| 351 |odd?| 356 |nextItem| 361 |negative?| 366 + |multiEuclidean| 371 |mulmod| 377 |min| 384 |max| 390 + |mask| 396 |length| 401 |lcm| 406 |latex| 417 |invmod| 422 + |init| 428 |inc| 432 |hash| 437 |gcdPolynomial| 442 |gcd| + 448 |factorial| 459 |factor| 464 |extendedEuclidean| 469 + |exquo| 482 |expressIdealMember| 488 |even?| 494 + |euclideanSize| 499 |divide| 504 |differentiate| 510 |dec| + 521 |copy| 526 |convert| 531 |coerce| 561 |characteristic| + 581 |bit?| 585 |binomial| 591 |before?| 597 |base| 603 + |associates?| 607 |addmod| 613 |abs| 620 |Zero| 625 |One| + 629 |OMwrite| 633 D 657 >= 668 > 674 = 680 <= 686 < 692 - + 698 + 709 ** 715 * 727) '((|infinite| . 0) (|noetherian| . 0) (|canonicalsClosed| . 0) (|canonical| . 0) (|canonicalUnitNormal| . 0) (|multiplicativeValuation| . 0) @@ -667,61 +686,61 @@ (|ConvertibleTo| 55) (|ConvertibleTo| 58) (|CombinatorialFunctionCategory|) - (|ConvertibleTo| 129) + (|ConvertibleTo| 133) (|ConvertibleTo| 61) (|ConvertibleTo| 17) (|CoercibleFrom| $$) (|CoercibleFrom| 17) (|BasicType|) (|CoercibleTo| 44)) - (|makeByteWordVec2| 137 + (|makeByteWordVec2| 141 '(0 7 0 8 1 12 11 0 13 3 12 11 0 14 14 15 2 12 11 0 17 18 1 12 11 0 19 0 20 0 21 2 12 0 14 20 22 1 12 11 0 23 1 12 11 0 24 1 12 11 0 25 0 7 0 32 1 44 0 17 45 1 55 0 17 56 1 58 0 17 59 1 61 0 17 62 1 14 0 17 64 2 17 9 0 0 66 - 2 14 0 0 0 67 2 98 97 96 95 99 1 102 - 101 100 103 1 100 0 0 104 1 100 2 0 - 105 1 106 101 100 107 1 100 0 2 108 2 - 0 89 0 0 109 1 0 110 0 111 2 114 101 - 112 113 115 2 116 101 101 101 117 1 - 106 101 100 118 1 100 9 0 119 1 100 0 - 0 120 1 122 100 121 123 2 0 9 0 0 1 1 - 0 9 0 30 1 0 92 0 93 1 0 0 0 94 1 0 9 - 0 1 2 0 0 0 0 1 2 0 89 0 0 1 3 0 0 0 - 0 0 51 1 0 0 0 1 1 0 110 0 1 2 0 9 0 - 0 1 1 0 17 0 1 2 0 0 0 0 88 0 0 0 1 1 - 0 130 0 1 1 0 17 0 1 2 0 0 0 0 53 2 0 - 74 71 75 76 1 0 70 71 72 1 0 89 0 90 - 1 0 127 0 1 1 0 9 0 1 1 0 126 0 1 0 0 - 0 78 1 0 0 0 79 2 0 0 0 0 87 1 0 133 - 131 1 1 0 9 0 1 3 0 0 0 0 0 1 2 0 0 0 - 0 69 1 0 9 0 1 2 0 0 0 0 1 3 0 128 0 - 129 128 1 1 0 9 0 34 1 0 9 0 82 1 0 - 89 0 1 1 0 9 0 43 2 0 132 131 0 1 3 0 - 0 0 0 0 54 2 0 0 0 0 84 2 0 0 0 0 83 - 1 0 0 0 1 1 0 0 0 49 1 0 0 131 1 2 0 - 0 0 0 1 1 0 14 0 68 2 0 0 0 0 1 0 0 0 - 1 1 0 0 0 38 1 0 41 0 42 2 0 124 124 - 124 125 1 0 0 131 1 2 0 0 0 0 91 1 0 - 0 0 1 1 0 110 0 111 3 0 135 0 0 0 1 2 - 0 136 0 0 1 2 0 89 0 0 109 2 0 132 - 131 0 1 1 0 9 0 1 1 0 7 0 1 2 0 85 0 - 0 86 1 0 0 0 1 2 0 0 0 7 1 1 0 0 0 40 - 1 0 0 0 36 1 0 14 0 65 1 0 58 0 60 1 - 0 55 0 57 1 0 61 0 63 1 0 129 0 1 1 0 - 17 0 48 1 0 0 17 47 1 0 0 0 1 1 0 0 - 17 47 1 0 44 0 46 0 0 7 1 2 0 9 0 0 1 - 2 0 0 0 0 1 2 0 9 0 0 1 0 0 0 35 2 0 - 9 0 0 1 3 0 0 0 0 0 50 1 0 0 0 77 0 0 - 0 6 0 0 0 31 3 0 11 12 0 9 29 2 0 14 - 0 9 27 2 0 11 12 0 28 1 0 14 0 26 1 0 - 0 0 1 2 0 0 0 7 1 2 0 9 0 0 1 2 0 9 0 - 0 1 2 0 9 0 0 33 2 0 9 0 0 1 2 0 9 0 - 0 10 1 0 0 0 16 2 0 0 0 0 39 2 0 0 0 - 0 37 2 0 0 0 7 81 2 0 0 0 137 1 2 0 0 - 0 0 52 2 0 0 17 0 80 2 0 0 7 0 1 2 0 - 0 137 0 1))))) + 2 14 0 0 0 67 1 9 0 0 81 2 102 101 + 100 99 103 1 106 105 104 107 1 104 0 + 0 108 1 104 2 0 109 1 110 105 104 111 + 1 104 0 2 112 2 0 93 0 0 113 1 0 114 + 0 115 2 118 105 116 117 119 2 120 105 + 105 105 121 1 110 105 104 122 1 104 9 + 0 123 1 104 0 0 124 1 126 104 125 127 + 2 0 9 0 0 1 1 0 9 0 30 1 0 96 0 97 1 + 0 0 0 98 1 0 9 0 1 2 0 0 0 0 1 2 0 93 + 0 0 1 3 0 0 0 0 0 51 1 0 0 0 1 1 0 + 114 0 1 2 0 9 0 0 1 1 0 17 0 1 2 0 0 + 0 0 92 0 0 0 1 1 0 134 0 1 1 0 17 0 1 + 2 0 0 0 0 53 2 0 74 71 75 76 1 0 70 + 71 72 1 0 93 0 94 1 0 131 0 1 1 0 9 0 + 1 1 0 130 0 1 0 0 0 78 1 0 0 0 79 2 0 + 0 0 0 91 1 0 137 135 1 1 0 9 0 1 3 0 + 0 0 0 0 1 2 0 0 0 0 69 1 0 9 0 1 2 0 + 0 0 0 1 3 0 132 0 133 132 1 1 0 9 0 + 34 1 0 9 0 86 1 0 93 0 1 1 0 9 0 43 2 + 0 136 135 0 1 3 0 0 0 0 0 54 2 0 0 0 + 0 88 2 0 0 0 0 87 1 0 0 0 1 1 0 0 0 + 49 1 0 0 135 1 2 0 0 0 0 1 1 0 14 0 + 68 2 0 0 0 0 1 0 0 0 1 1 0 0 0 38 1 0 + 41 0 42 2 0 128 128 128 129 1 0 0 135 + 1 2 0 0 0 0 95 1 0 0 0 1 1 0 114 0 + 115 3 0 139 0 0 0 1 2 0 140 0 0 1 2 0 + 93 0 0 113 2 0 136 135 0 1 1 0 9 0 1 + 1 0 7 0 1 2 0 89 0 0 90 1 0 0 0 1 2 0 + 0 0 7 1 1 0 0 0 40 1 0 0 0 36 1 0 14 + 0 65 1 0 58 0 60 1 0 55 0 57 1 0 61 0 + 63 1 0 133 0 1 1 0 17 0 48 1 0 0 17 + 47 1 0 0 0 1 1 0 0 17 47 1 0 44 0 46 + 0 0 7 1 2 0 9 0 0 1 2 0 0 0 0 1 2 0 9 + 0 0 1 0 0 0 35 2 0 9 0 0 1 3 0 0 0 0 + 0 50 1 0 0 0 77 0 0 0 6 0 0 0 31 3 0 + 11 12 0 9 29 2 0 14 0 9 27 2 0 11 12 + 0 28 1 0 14 0 26 1 0 0 0 1 2 0 0 0 7 + 1 2 0 9 0 0 83 2 0 9 0 0 80 2 0 9 0 0 + 33 2 0 9 0 0 82 2 0 9 0 0 10 1 0 0 0 + 16 2 0 0 0 0 39 2 0 0 0 0 37 2 0 0 0 + 7 85 2 0 0 0 141 1 2 0 0 0 0 52 2 0 0 + 17 0 84 2 0 0 7 0 1 2 0 0 141 0 1))))) '|lookupComplete|)) (MAKEPROP '|Integer| 'NILADIC T) diff --git a/src/algebra/strap/SINT.lsp b/src/algebra/strap/SINT.lsp index cf309a77..591a5604 100644 --- a/src/algebra/strap/SINT.lsp +++ b/src/algebra/strap/SINT.lsp @@ -104,154 +104,165 @@ (PUT '|SINT;<;2$B;24| '|SPADreplace| 'QSLESSP) +(DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) + |SINT;>;2$B;25|)) + +(PUT '|SINT;>;2$B;25| '|SPADreplace| 'QSGREATERP) + +(DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) + |SINT;<=;2$B;26|)) + +(DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Boolean|) + |SINT;>=;2$B;27|)) + (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;inc;2$;25|)) + |SINT;inc;2$;28|)) -(PUT '|SINT;inc;2$;25| '|SPADreplace| 'QSADD1) +(PUT '|SINT;inc;2$;28| '|SPADreplace| 'QSADD1) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;dec;2$;26|)) + |SINT;dec;2$;29|)) -(PUT '|SINT;dec;2$;26| '|SPADreplace| 'QSSUB1) +(PUT '|SINT;dec;2$;29| '|SPADreplace| 'QSSUB1) -(DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) |SINT;-;2$;27|)) +(DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) |SINT;-;2$;30|)) -(PUT '|SINT;-;2$;27| '|SPADreplace| 'QSMINUS) +(PUT '|SINT;-;2$;30| '|SPADreplace| 'QSMINUS) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;+;3$;28|)) + |SINT;+;3$;31|)) -(PUT '|SINT;+;3$;28| '|SPADreplace| 'QSPLUS) +(PUT '|SINT;+;3$;31| '|SPADreplace| 'QSPLUS) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;-;3$;29|)) + |SINT;-;3$;32|)) -(PUT '|SINT;-;3$;29| '|SPADreplace| 'QSDIFFERENCE) +(PUT '|SINT;-;3$;32| '|SPADreplace| 'QSDIFFERENCE) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;*;3$;30|)) + |SINT;*;3$;33|)) -(PUT '|SINT;*;3$;30| '|SPADreplace| 'QSTIMES) +(PUT '|SINT;*;3$;33| '|SPADreplace| 'QSTIMES) (DECLAIM (FTYPE (FUNCTION (|%Short| (|%IntegerSection| 0) |%Shell|) |%Short|) - |SINT;**;$Nni$;31|)) + |SINT;**;$Nni$;34|)) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;quo;3$;32|)) + |SINT;quo;3$;35|)) -(PUT '|SINT;quo;3$;32| '|SPADreplace| 'QSQUOTIENT) +(PUT '|SINT;quo;3$;35| '|SPADreplace| 'QSQUOTIENT) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;rem;3$;33|)) + |SINT;rem;3$;36|)) -(PUT '|SINT;rem;3$;33| '|SPADreplace| 'QSREMAINDER) +(PUT '|SINT;rem;3$;36| '|SPADreplace| 'QSREMAINDER) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Pair|) - |SINT;divide;2$R;34|)) + |SINT;divide;2$R;37|)) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;gcd;3$;35|)) + |SINT;gcd;3$;38|)) -(PUT '|SINT;gcd;3$;35| '|SPADreplace| 'GCD) +(PUT '|SINT;gcd;3$;38| '|SPADreplace| 'GCD) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;abs;2$;36|)) + |SINT;abs;2$;39|)) -(PUT '|SINT;abs;2$;36| '|SPADreplace| 'QSABSVAL) +(PUT '|SINT;abs;2$;39| '|SPADreplace| 'QSABSVAL) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) - |SINT;odd?;$B;37|)) + |SINT;odd?;$B;40|)) -(PUT '|SINT;odd?;$B;37| '|SPADreplace| 'QSODDP) +(PUT '|SINT;odd?;$B;40| '|SPADreplace| 'QSODDP) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) - |SINT;zero?;$B;38|)) + |SINT;zero?;$B;41|)) -(PUT '|SINT;zero?;$B;38| '|SPADreplace| 'QSZEROP) +(PUT '|SINT;zero?;$B;41| '|SPADreplace| 'QSZEROP) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) - |SINT;one?;$B;39|)) + |SINT;one?;$B;42|)) -(PUT '|SINT;one?;$B;39| '|SPADreplace| '(XLAM (|x|) (EQL |x| 1))) +(PUT '|SINT;one?;$B;42| '|SPADreplace| '(XLAM (|x|) (EQL |x| 1))) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;max;3$;40|)) + |SINT;max;3$;43|)) -(PUT '|SINT;max;3$;40| '|SPADreplace| 'QSMAX) +(PUT '|SINT;max;3$;43| '|SPADreplace| 'QSMAX) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;min;3$;41|)) + |SINT;min;3$;44|)) -(PUT '|SINT;min;3$;41| '|SPADreplace| 'QSMIN) +(PUT '|SINT;min;3$;44| '|SPADreplace| 'QSMIN) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;hash;2$;42|)) + |SINT;hash;2$;45|)) -(PUT '|SINT;hash;2$;42| '|SPADreplace| 'HASHEQ) +(PUT '|SINT;hash;2$;45| '|SPADreplace| 'HASHEQ) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;length;2$;43|)) + |SINT;length;2$;46|)) -(PUT '|SINT;length;2$;43| '|SPADreplace| 'INTEGER-LENGTH) +(PUT '|SINT;length;2$;46| '|SPADreplace| 'INTEGER-LENGTH) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;shift;3$;44|)) + |SINT;shift;3$;47|)) -(PUT '|SINT;shift;3$;44| '|SPADreplace| 'QSLEFTSHIFT) +(PUT '|SINT;shift;3$;47| '|SPADreplace| 'QSLEFTSHIFT) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Short| |%Shell|) |%Short|) - |SINT;mulmod;4$;45|)) + |SINT;mulmod;4$;48|)) -(PUT '|SINT;mulmod;4$;45| '|SPADreplace| 'QSMULTMOD) +(PUT '|SINT;mulmod;4$;48| '|SPADreplace| 'QSMULTMOD) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Short| |%Shell|) |%Short|) - |SINT;addmod;4$;46|)) + |SINT;addmod;4$;49|)) -(PUT '|SINT;addmod;4$;46| '|SPADreplace| 'QSADDMOD) +(PUT '|SINT;addmod;4$;49| '|SPADreplace| 'QSADDMOD) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Short| |%Shell|) |%Short|) - |SINT;submod;4$;47|)) + |SINT;submod;4$;50|)) -(PUT '|SINT;submod;4$;47| '|SPADreplace| 'QSDIFMOD) +(PUT '|SINT;submod;4$;50| '|SPADreplace| 'QSDIFMOD) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Boolean|) - |SINT;negative?;$B;48|)) + |SINT;negative?;$B;51|)) -(PUT '|SINT;negative?;$B;48| '|SPADreplace| 'QSMINUSP) +(PUT '|SINT;negative?;$B;51| '|SPADreplace| 'QSMINUSP) (DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 0)) - |SINT;size;Nni;49|)) + |SINT;size;Nni;52|)) (DECLAIM (FTYPE (FUNCTION ((|%IntegerSection| 1) |%Shell|) |%Short|) - |SINT;index;Pi$;50|)) + |SINT;index;Pi$;53|)) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) (|%IntegerSection| 1)) - |SINT;lookup;$Pi;51|)) + |SINT;lookup;$Pi;54|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| (|%Vector| *) |%Shell|) |%Pair|) - |SINT;reducedSystem;MVR;52|)) + |SINT;reducedSystem;MVR;55|)) -(PUT '|SINT;reducedSystem;MVR;52| '|SPADreplace| 'CONS) +(PUT '|SINT;reducedSystem;MVR;55| '|SPADreplace| 'CONS) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Short| |%Shell|) |%Short|) - |SINT;positiveRemainder;3$;53|)) + |SINT;positiveRemainder;3$;56|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Short|) - |SINT;coerce;I$;54|)) + |SINT;coerce;I$;57|)) -(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Short|) |SINT;random;$;55|)) +(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Short|) |SINT;random;$;58|)) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Short|) - |SINT;random;2$;56|)) + |SINT;random;2$;59|)) -(PUT '|SINT;random;2$;56| '|SPADreplace| 'RANDOM) +(PUT '|SINT;random;2$;59| '|SPADreplace| 'RANDOM) (DECLAIM (FTYPE (FUNCTION (|%Short| |%Shell|) |%Shell|) - |SINT;unitNormal;$R;57|)) + |SINT;unitNormal;$R;60|)) (DEFUN |SINT;writeOMSingleInt| (|dev| |x| $) (SEQ (COND @@ -358,105 +369,113 @@ (DECLARE (IGNORE $)) (QSLESSP |x| |y|)) -(DEFUN |SINT;inc;2$;25| (|x| $) (DECLARE (IGNORE $)) (QSADD1 |x|)) +(DEFUN |SINT;>;2$B;25| (|x| |y| $) + (DECLARE (IGNORE $)) + (QSGREATERP |x| |y|)) + +(DEFUN |SINT;<=;2$B;26| (|x| |y| $) (NOT (> |x| |y|))) + +(DEFUN |SINT;>=;2$B;27| (|x| |y| $) (NOT (< |x| |y|))) -(DEFUN |SINT;dec;2$;26| (|x| $) (DECLARE (IGNORE $)) (QSSUB1 |x|)) +(DEFUN |SINT;inc;2$;28| (|x| $) (DECLARE (IGNORE $)) (QSADD1 |x|)) -(DEFUN |SINT;-;2$;27| (|x| $) (DECLARE (IGNORE $)) (QSMINUS |x|)) +(DEFUN |SINT;dec;2$;29| (|x| $) (DECLARE (IGNORE $)) (QSSUB1 |x|)) -(DEFUN |SINT;+;3$;28| (|x| |y| $) +(DEFUN |SINT;-;2$;30| (|x| $) (DECLARE (IGNORE $)) (QSMINUS |x|)) + +(DEFUN |SINT;+;3$;31| (|x| |y| $) (DECLARE (IGNORE $)) (QSPLUS |x| |y|)) -(DEFUN |SINT;-;3$;29| (|x| |y| $) +(DEFUN |SINT;-;3$;32| (|x| |y| $) (DECLARE (IGNORE $)) (QSDIFFERENCE |x| |y|)) -(DEFUN |SINT;*;3$;30| (|x| |y| $) +(DEFUN |SINT;*;3$;33| (|x| |y| $) (DECLARE (IGNORE $)) (QSTIMES |x| |y|)) -(DEFUN |SINT;**;$Nni$;31| (|x| |n| $) +(DEFUN |SINT;**;$Nni$;34| (|x| |n| $) (SPADCALL (EXPT |x| |n|) (|getShellEntry| $ 36))) -(DEFUN |SINT;quo;3$;32| (|x| |y| $) +(DEFUN |SINT;quo;3$;35| (|x| |y| $) (DECLARE (IGNORE $)) (QSQUOTIENT |x| |y|)) -(DEFUN |SINT;rem;3$;33| (|x| |y| $) +(DEFUN |SINT;rem;3$;36| (|x| |y| $) (DECLARE (IGNORE $)) (QSREMAINDER |x| |y|)) -(DEFUN |SINT;divide;2$R;34| (|x| |y| $) +(DEFUN |SINT;divide;2$R;37| (|x| |y| $) (CONS (QSQUOTIENT |x| |y|) (QSREMAINDER |x| |y|))) -(DEFUN |SINT;gcd;3$;35| (|x| |y| $) +(DEFUN |SINT;gcd;3$;38| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|)) -(DEFUN |SINT;abs;2$;36| (|x| $) (DECLARE (IGNORE $)) (QSABSVAL |x|)) +(DEFUN |SINT;abs;2$;39| (|x| $) (DECLARE (IGNORE $)) (QSABSVAL |x|)) -(DEFUN |SINT;odd?;$B;37| (|x| $) (DECLARE (IGNORE $)) (QSODDP |x|)) +(DEFUN |SINT;odd?;$B;40| (|x| $) (DECLARE (IGNORE $)) (QSODDP |x|)) -(DEFUN |SINT;zero?;$B;38| (|x| $) (DECLARE (IGNORE $)) (QSZEROP |x|)) +(DEFUN |SINT;zero?;$B;41| (|x| $) (DECLARE (IGNORE $)) (QSZEROP |x|)) -(DEFUN |SINT;one?;$B;39| (|x| $) (DECLARE (IGNORE $)) (EQL |x| 1)) +(DEFUN |SINT;one?;$B;42| (|x| $) (DECLARE (IGNORE $)) (EQL |x| 1)) -(DEFUN |SINT;max;3$;40| (|x| |y| $) +(DEFUN |SINT;max;3$;43| (|x| |y| $) (DECLARE (IGNORE $)) (QSMAX |x| |y|)) -(DEFUN |SINT;min;3$;41| (|x| |y| $) +(DEFUN |SINT;min;3$;44| (|x| |y| $) (DECLARE (IGNORE $)) (QSMIN |x| |y|)) -(DEFUN |SINT;hash;2$;42| (|x| $) (DECLARE (IGNORE $)) (HASHEQ |x|)) +(DEFUN |SINT;hash;2$;45| (|x| $) (DECLARE (IGNORE $)) (HASHEQ |x|)) -(DEFUN |SINT;length;2$;43| (|x| $) +(DEFUN |SINT;length;2$;46| (|x| $) (DECLARE (IGNORE $)) (INTEGER-LENGTH |x|)) -(DEFUN |SINT;shift;3$;44| (|x| |n| $) +(DEFUN |SINT;shift;3$;47| (|x| |n| $) (DECLARE (IGNORE $)) (QSLEFTSHIFT |x| |n|)) -(DEFUN |SINT;mulmod;4$;45| (|a| |b| |p| $) +(DEFUN |SINT;mulmod;4$;48| (|a| |b| |p| $) (DECLARE (IGNORE $)) (QSMULTMOD |a| |b| |p|)) -(DEFUN |SINT;addmod;4$;46| (|a| |b| |p| $) +(DEFUN |SINT;addmod;4$;49| (|a| |b| |p| $) (DECLARE (IGNORE $)) (QSADDMOD |a| |b| |p|)) -(DEFUN |SINT;submod;4$;47| (|a| |b| |p| $) +(DEFUN |SINT;submod;4$;50| (|a| |b| |p| $) (DECLARE (IGNORE $)) (QSDIFMOD |a| |b| |p|)) -(DEFUN |SINT;negative?;$B;48| (|x| $) +(DEFUN |SINT;negative?;$B;51| (|x| $) (DECLARE (IGNORE $)) (QSMINUSP |x|)) -(DEFUN |SINT;size;Nni;49| ($) +(DEFUN |SINT;size;Nni;52| ($) (+ (- |$ShortMaximum| |$ShortMinimum|) 1)) -(DEFUN |SINT;index;Pi$;50| (|i| $) - (PROG (#0=#:G1456) +(DEFUN |SINT;index;Pi$;53| (|i| $) + (PROG (#0=#:G1459) (RETURN (PROG1 (LETT #0# (- (+ |i| |$ShortMinimum|) 1) - |SINT;index;Pi$;50|) + |SINT;index;Pi$;53|) (|check-subtype| (SMINTP #0#) '(|SingleInteger|) #0#))))) -(DEFUN |SINT;lookup;$Pi;51| (|x| $) (+ (- |x| |$ShortMinimum|) 1)) +(DEFUN |SINT;lookup;$Pi;54| (|x| $) (+ (- |x| |$ShortMinimum|) 1)) -(DEFUN |SINT;reducedSystem;MVR;52| (|m| |v| $) +(DEFUN |SINT;reducedSystem;MVR;55| (|m| |v| $) (DECLARE (IGNORE $)) (CONS |m| |v|)) -(DEFUN |SINT;positiveRemainder;3$;53| (|x| |n| $) +(DEFUN |SINT;positiveRemainder;3$;56| (|x| |n| $) (PROG (|r|) (RETURN (SEQ (LETT |r| (QSREMAINDER |x| |n|) - |SINT;positiveRemainder;3$;53|) + |SINT;positiveRemainder;3$;56|) (EXIT (COND ((QSMINUSP |r|) (COND @@ -464,18 +483,18 @@ ('T (QSPLUS |r| |n|)))) ('T |r|))))))) -(DEFUN |SINT;coerce;I$;54| (|x| $) +(DEFUN |SINT;coerce;I$;57| (|x| $) (PROG1 |x| (|check-subtype| (SMINTP |x|) '(|SingleInteger|) |x|))) -(DEFUN |SINT;random;$;55| ($) +(DEFUN |SINT;random;$;58| ($) (SEQ (|setShellEntry| $ 6 (REMAINDER (TIMES 314159269 (|getShellEntry| $ 6)) 2147483647)) (EXIT (REMAINDER (|getShellEntry| $ 6) 67108864)))) -(DEFUN |SINT;random;2$;56| (|n| $) (DECLARE (IGNORE $)) (RANDOM |n|)) +(DEFUN |SINT;random;2$;59| (|n| $) (DECLARE (IGNORE $)) (RANDOM |n|)) -(DEFUN |SINT;unitNormal;$R;57| (|x| $) +(DEFUN |SINT;unitNormal;$R;60| (|x| $) (COND ((QSLESSP |x| 0) (VECTOR -1 (QSMINUS |x|) -1)) ('T (VECTOR 1 |x| 1)))) @@ -483,7 +502,7 @@ (DEFUN |SingleInteger| () (PROG () (RETURN - (PROG (#0=#:G1491) + (PROG (#0=#:G1494) (RETURN (COND ((LETT #0# (HGET |$ConstructorCache| '|SingleInteger|) @@ -505,7 +524,7 @@ (RETURN (PROGN (LETT |dv$| '(|SingleInteger|) . #0=(|SingleInteger|)) - (LETT $ (|newShell| 111) . #0#) + (LETT $ (|newShell| 115) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) @@ -521,7 +540,7 @@ (FUNCALL (|dispatchFunction| |SINT;Zero;$;10|) $)) (0 . |Zero|) (|Boolean|) |SINT;<;2$B;24| (|Void|) (|OpenMathDevice|) (4 . |OMputApp|) (|String|) - (9 . |OMputSymbol|) |SINT;-;2$;27| |SINT;convert;$I;8| + (9 . |OMputSymbol|) |SINT;-;2$;30| |SINT;convert;$I;8| (16 . |OMputInteger|) (22 . |OMputEndApp|) (|OpenMathEncoding|) (27 . |OMencodingXML|) (31 . |OMopenString|) (37 . |OMputObject|) @@ -530,7 +549,7 @@ |SINT;OMwrite;Omd$V;4| |SINT;OMwrite;Omd$BV;5| (|Matrix| 5) (|Matrix| $) |SINT;reducedSystem;MM;6| (|OutputForm|) (52 . |coerce|) |SINT;coerce;$Of;7| - (57 . |coerce|) |SINT;*;3$;30| |SINT;*;I2$;9| + (57 . |coerce|) |SINT;*;3$;33| |SINT;*;I2$;9| (CONS IDENTITY (FUNCALL (|dispatchFunction| |SINT;One;$;11|) $)) |SINT;base;$;12| @@ -541,57 +560,58 @@ |SINT;=;2$B;15| |SINT;~;2$;16| |SINT;not;2$;17| |SINT;/\\;3$;18| |SINT;\\/;3$;19| |SINT;Not;2$;20| |SINT;And;3$;21| |SINT;Or;3$;22| |SINT;xor;3$;23| - |SINT;inc;2$;25| |SINT;dec;2$;26| |SINT;+;3$;28| - |SINT;-;3$;29| (|NonNegativeInteger|) |SINT;**;$Nni$;31| - |SINT;quo;3$;32| |SINT;rem;3$;33| + |SINT;>;2$B;25| (62 . |not|) |SINT;<=;2$B;26| + |SINT;>=;2$B;27| |SINT;inc;2$;28| |SINT;dec;2$;29| + |SINT;+;3$;31| |SINT;-;3$;32| (|NonNegativeInteger|) + |SINT;**;$Nni$;34| |SINT;quo;3$;35| |SINT;rem;3$;36| (|Record| (|:| |quotient| $) (|:| |remainder| $)) - |SINT;divide;2$R;34| |SINT;gcd;3$;35| |SINT;abs;2$;36| - |SINT;odd?;$B;37| |SINT;zero?;$B;38| (62 . |One|) - |SINT;one?;$B;39| |SINT;max;3$;40| |SINT;min;3$;41| - (|SingleInteger|) |SINT;hash;2$;42| |SINT;length;2$;43| - |SINT;shift;3$;44| |SINT;mulmod;4$;45| |SINT;addmod;4$;46| - |SINT;submod;4$;47| |SINT;negative?;$B;48| - |SINT;size;Nni;49| (|PositiveInteger|) (66 . +) (72 . -) - |SINT;index;Pi$;50| |SINT;lookup;$Pi;51| (|Vector| 5) - (|Record| (|:| |mat| 30) (|:| |vec| 84)) (|Vector| $) - |SINT;reducedSystem;MVR;52| |SINT;positiveRemainder;3$;53| - |SINT;coerce;I$;54| |SINT;random;$;55| |SINT;random;2$;56| + |SINT;divide;2$R;37| |SINT;gcd;3$;38| |SINT;abs;2$;39| + |SINT;odd?;$B;40| |SINT;zero?;$B;41| (67 . |One|) + |SINT;one?;$B;42| |SINT;max;3$;43| |SINT;min;3$;44| + (|SingleInteger|) |SINT;hash;2$;45| |SINT;length;2$;46| + |SINT;shift;3$;47| |SINT;mulmod;4$;48| |SINT;addmod;4$;49| + |SINT;submod;4$;50| |SINT;negative?;$B;51| + |SINT;size;Nni;52| (|PositiveInteger|) (71 . +) (77 . -) + |SINT;index;Pi$;53| |SINT;lookup;$Pi;54| (|Vector| 5) + (|Record| (|:| |mat| 30) (|:| |vec| 88)) (|Vector| $) + |SINT;reducedSystem;MVR;55| |SINT;positiveRemainder;3$;56| + |SINT;coerce;I$;57| |SINT;random;$;58| |SINT;random;2$;59| (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) - |SINT;unitNormal;$R;57| (|Fraction| 5) - (|Union| 94 '"failed") (|DoubleFloat|) + |SINT;unitNormal;$R;60| (|Fraction| 5) + (|Union| 98 '"failed") (|DoubleFloat|) (|Union| $ '"failed") (|Float|) (|PatternMatchResult| 5 $) (|Pattern| 5) (|InputForm|) (|Union| 5 '"failed") - (|List| $) (|Union| 103 '"failed") - (|Record| (|:| |coef| 103) (|:| |generator| $)) + (|List| $) (|Union| 107 '"failed") + (|Record| (|:| |coef| 107) (|:| |generator| $)) (|Record| (|:| |coef1| $) (|:| |coef2| $)) - (|Union| 106 '"failed") + (|Union| 110 '"failed") (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) (|Factored| $) (|SparseUnivariatePolynomial| $)) - '#(~= 78 ~ 84 |zero?| 89 |xor| 94 |unitNormal| 100 - |unitCanonical| 105 |unit?| 110 |symmetricRemainder| 115 - |subtractIfCan| 121 |submod| 127 |squareFreePart| 134 - |squareFree| 139 |sizeLess?| 144 |size| 150 |sign| 154 - |shift| 159 |sample| 165 |retractIfCan| 169 |retract| 174 - |rem| 179 |reducedSystem| 185 |recip| 196 |rationalIfCan| - 201 |rational?| 206 |rational| 211 |random| 216 |quo| 225 - |principalIdeal| 231 |prime?| 236 |powmod| 241 - |positiveRemainder| 248 |positive?| 254 |permutation| 259 - |patternMatch| 265 |one?| 272 |odd?| 277 |not| 282 - |nextItem| 287 |negative?| 292 |multiEuclidean| 297 - |mulmod| 303 |min| 310 |max| 320 |mask| 330 |lookup| 335 - |length| 340 |lcm| 345 |latex| 356 |invmod| 361 |init| 367 - |index| 371 |inc| 376 |hash| 381 |gcdPolynomial| 386 |gcd| - 392 |factorial| 403 |factor| 408 |extendedEuclidean| 413 - |exquo| 426 |expressIdealMember| 432 |even?| 438 - |euclideanSize| 443 |divide| 448 |differentiate| 454 |dec| - 465 |copy| 470 |convert| 475 |coerce| 500 |characteristic| - 520 |bit?| 524 |binomial| 530 |before?| 536 |base| 542 - |associates?| 546 |addmod| 552 |abs| 559 |\\/| 564 |Zero| - 570 |Or| 574 |One| 580 |OMwrite| 584 |Not| 608 D 613 |And| - 624 >= 630 > 636 = 642 <= 648 < 654 |/\\| 660 - 666 + 677 - ** 683 * 695) + '#(~= 83 ~ 89 |zero?| 94 |xor| 99 |unitNormal| 105 + |unitCanonical| 110 |unit?| 115 |symmetricRemainder| 120 + |subtractIfCan| 126 |submod| 132 |squareFreePart| 139 + |squareFree| 144 |sizeLess?| 149 |size| 155 |sign| 159 + |shift| 164 |sample| 170 |retractIfCan| 174 |retract| 179 + |rem| 184 |reducedSystem| 190 |recip| 201 |rationalIfCan| + 206 |rational?| 211 |rational| 216 |random| 221 |quo| 230 + |principalIdeal| 236 |prime?| 241 |powmod| 246 + |positiveRemainder| 253 |positive?| 259 |permutation| 264 + |patternMatch| 270 |one?| 277 |odd?| 282 |not| 287 + |nextItem| 292 |negative?| 297 |multiEuclidean| 302 + |mulmod| 308 |min| 315 |max| 325 |mask| 335 |lookup| 340 + |length| 345 |lcm| 350 |latex| 361 |invmod| 366 |init| 372 + |index| 376 |inc| 381 |hash| 386 |gcdPolynomial| 391 |gcd| + 397 |factorial| 408 |factor| 413 |extendedEuclidean| 418 + |exquo| 431 |expressIdealMember| 437 |even?| 443 + |euclideanSize| 448 |divide| 453 |differentiate| 459 |dec| + 470 |copy| 475 |convert| 480 |coerce| 505 |characteristic| + 525 |bit?| 529 |binomial| 535 |before?| 541 |base| 547 + |associates?| 551 |addmod| 557 |abs| 564 |\\/| 569 |Zero| + 575 |Or| 579 |One| 585 |OMwrite| 589 |Not| 613 D 618 |And| + 629 >= 635 > 641 = 647 <= 653 < 659 |/\\| 665 - 671 + 682 + ** 688 * 700) '((|noetherian| . 0) (|canonicalsClosed| . 0) (|canonical| . 0) (|canonicalUnitNormal| . 0) (|multiplicativeValuation| . 0) (|noZeroDivisors| . 0) @@ -641,59 +661,59 @@ (|LeftLinearSet| 5) (|Logic|) (|RealConstant|) (|RetractableTo| 5) (|SetCategory|) (|OpenMath|) - (|ConvertibleTo| 98) - (|ConvertibleTo| 96) - (|CombinatorialFunctionCategory|) + (|ConvertibleTo| 102) (|ConvertibleTo| 100) - (|ConvertibleTo| 101) + (|CombinatorialFunctionCategory|) + (|ConvertibleTo| 104) + (|ConvertibleTo| 105) (|ConvertibleTo| 5) (|CoercibleFrom| $$) (|CoercibleFrom| 5) (|BasicType|) (|CoercibleTo| 33)) - (|makeByteWordVec2| 110 + (|makeByteWordVec2| 114 '(0 5 0 8 1 12 11 0 13 3 12 11 0 14 14 15 2 12 11 0 5 18 1 12 11 0 19 0 20 0 21 2 12 0 14 20 22 1 12 11 0 23 1 12 11 0 24 1 12 11 0 25 1 5 33 0 34 1 0 - 0 5 36 0 5 0 66 2 79 0 0 0 80 2 5 0 0 - 0 81 2 0 9 0 0 1 1 0 0 0 44 1 0 9 0 - 65 2 0 0 0 0 51 1 0 92 0 93 1 0 0 0 1 - 1 0 9 0 1 2 0 0 0 0 1 2 0 97 0 0 1 3 - 0 0 0 0 0 76 1 0 0 0 1 1 0 109 0 1 2 - 0 9 0 0 1 0 0 56 78 1 0 5 0 1 2 0 0 0 - 0 73 0 0 0 1 1 0 102 0 1 1 0 5 0 1 2 - 0 0 0 0 59 2 0 85 31 86 87 1 0 30 31 - 32 1 0 97 0 1 1 0 95 0 1 1 0 9 0 1 1 - 0 94 0 1 1 0 0 0 91 0 0 0 90 2 0 0 0 - 0 58 1 0 105 103 1 1 0 9 0 1 3 0 0 0 - 0 0 1 2 0 0 0 0 88 1 0 9 0 1 2 0 0 0 - 0 1 3 0 99 0 100 99 1 1 0 9 0 67 1 0 - 9 0 64 1 0 0 0 45 1 0 97 0 1 1 0 9 0 - 77 2 0 104 103 0 1 3 0 0 0 0 0 74 0 0 - 0 42 2 0 0 0 0 69 0 0 0 41 2 0 0 0 0 - 68 1 0 0 0 1 1 0 79 0 83 1 0 0 0 72 2 - 0 0 0 0 1 1 0 0 103 1 1 0 14 0 1 2 0 - 0 0 0 1 0 0 0 1 1 0 0 79 82 1 0 0 0 - 52 1 0 70 0 71 2 0 110 110 110 1 2 0 - 0 0 0 62 1 0 0 103 1 1 0 0 0 1 1 0 - 109 0 1 3 0 107 0 0 0 1 2 0 108 0 0 1 - 2 0 97 0 0 1 2 0 104 103 0 1 1 0 9 0 - 1 1 0 56 0 1 2 0 60 0 0 61 1 0 0 0 1 - 2 0 0 0 56 1 1 0 0 0 53 1 0 0 0 1 1 0 - 96 0 1 1 0 98 0 1 1 0 101 0 1 1 0 100 - 0 1 1 0 5 0 17 1 0 0 5 89 1 0 0 0 1 1 - 0 0 5 89 1 0 33 0 35 0 0 56 1 2 0 9 0 - 0 1 2 0 0 0 0 1 2 0 9 0 0 1 0 0 0 40 - 2 0 9 0 0 1 3 0 0 0 0 0 75 1 0 0 0 63 - 2 0 0 0 0 47 0 0 0 7 2 0 0 0 0 50 0 0 - 0 39 2 0 11 12 0 28 3 0 11 12 0 9 29 - 2 0 14 0 9 27 1 0 14 0 26 1 0 0 0 48 - 1 0 0 0 1 2 0 0 0 56 1 2 0 0 0 0 49 2 - 0 9 0 0 1 2 0 9 0 0 1 2 0 9 0 0 43 2 - 0 9 0 0 1 2 0 9 0 0 10 2 0 0 0 0 46 2 - 0 0 0 0 55 1 0 0 0 16 2 0 0 0 0 54 2 - 0 0 0 56 57 2 0 0 0 79 1 2 0 0 0 0 37 - 2 0 0 5 0 38 2 0 0 56 0 1 2 0 0 79 0 - 1))))) + 0 5 36 1 9 0 0 53 0 5 0 70 2 83 0 0 0 + 84 2 5 0 0 0 85 2 0 9 0 0 1 1 0 0 0 + 44 1 0 9 0 69 2 0 0 0 0 51 1 0 96 0 + 97 1 0 0 0 1 1 0 9 0 1 2 0 0 0 0 1 2 + 0 101 0 0 1 3 0 0 0 0 0 80 1 0 0 0 1 + 1 0 113 0 1 2 0 9 0 0 1 0 0 60 82 1 0 + 5 0 1 2 0 0 0 0 77 0 0 0 1 1 0 106 0 + 1 1 0 5 0 1 2 0 0 0 0 63 2 0 89 31 90 + 91 1 0 30 31 32 1 0 101 0 1 1 0 99 0 + 1 1 0 9 0 1 1 0 98 0 1 1 0 0 0 95 0 0 + 0 94 2 0 0 0 0 62 1 0 109 107 1 1 0 9 + 0 1 3 0 0 0 0 0 1 2 0 0 0 0 92 1 0 9 + 0 1 2 0 0 0 0 1 3 0 103 0 104 103 1 1 + 0 9 0 71 1 0 9 0 68 1 0 0 0 45 1 0 + 101 0 1 1 0 9 0 81 2 0 108 107 0 1 3 + 0 0 0 0 0 78 0 0 0 42 2 0 0 0 0 73 0 + 0 0 41 2 0 0 0 0 72 1 0 0 0 1 1 0 83 + 0 87 1 0 0 0 76 2 0 0 0 0 1 1 0 0 107 + 1 1 0 14 0 1 2 0 0 0 0 1 0 0 0 1 1 0 + 0 83 86 1 0 0 0 56 1 0 74 0 75 2 0 + 114 114 114 1 2 0 0 0 0 66 1 0 0 107 + 1 1 0 0 0 1 1 0 113 0 1 3 0 111 0 0 0 + 1 2 0 112 0 0 1 2 0 101 0 0 1 2 0 108 + 107 0 1 1 0 9 0 1 1 0 60 0 1 2 0 64 0 + 0 65 1 0 0 0 1 2 0 0 0 60 1 1 0 0 0 + 57 1 0 0 0 1 1 0 100 0 1 1 0 102 0 1 + 1 0 105 0 1 1 0 104 0 1 1 0 5 0 17 1 + 0 0 5 93 1 0 0 0 1 1 0 0 5 93 1 0 33 + 0 35 0 0 60 1 2 0 9 0 0 1 2 0 0 0 0 1 + 2 0 9 0 0 1 0 0 0 40 2 0 9 0 0 1 3 0 + 0 0 0 0 79 1 0 0 0 67 2 0 0 0 0 47 0 + 0 0 7 2 0 0 0 0 50 0 0 0 39 2 0 11 12 + 0 28 3 0 11 12 0 9 29 2 0 14 0 9 27 1 + 0 14 0 26 1 0 0 0 48 1 0 0 0 1 2 0 0 + 0 60 1 2 0 0 0 0 49 2 0 9 0 0 55 2 0 + 9 0 0 52 2 0 9 0 0 43 2 0 9 0 0 54 2 + 0 9 0 0 10 2 0 0 0 0 46 2 0 0 0 0 59 + 1 0 0 0 16 2 0 0 0 0 58 2 0 0 0 60 61 + 2 0 0 0 83 1 2 0 0 0 0 37 2 0 0 5 0 + 38 2 0 0 60 0 1 2 0 0 83 0 1))))) '|lookupComplete|)) (MAKEPROP '|SingleInteger| 'NILADIC T) |