(/VERSIONCHECK 2) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%String|) |DFLOAT;OMwrite;$S;1|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Boolean| |%Shell|) |%String|) |DFLOAT;OMwrite;$BS;2|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%DoubleFloat| |%Shell|) |%Void|) |DFLOAT;OMwrite;Omd$V;3|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%DoubleFloat| |%Boolean| |%Shell|) |%Void|) |DFLOAT;OMwrite;Omd$BV;4|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;checkComplex|)) (PUT '|DFLOAT;checkComplex| '|SPADreplace| 'C-TO-R) (DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 1)) |DFLOAT;base;Pi;6|)) (PUT '|DFLOAT;base;Pi;6| '|SPADreplace| '(XLAM NIL (FLOAT-RADIX 0.0))) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) |DFLOAT;mantissa;$I;7|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) |DFLOAT;exponent;$I;8|)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 1)) |DFLOAT;precision;Pi;9|)) (PUT '|DFLOAT;precision;Pi;9| '|SPADreplace| '(XLAM NIL (FLOAT-DIGITS 0.0))) (DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 1)) |DFLOAT;bits;Pi;10|)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;max;$;11|)) (PUT '|DFLOAT;max;$;11| '|SPADreplace| '(XLAM NIL |$DoubleFloatMaximum|)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;min;$;12|)) (PUT '|DFLOAT;min;$;12| '|SPADreplace| '(XLAM NIL |$DoubleFloatMinimum|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) |DFLOAT;order;$I;13|)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;Zero;$;14|)) (PUT '|DFLOAT;Zero;$;14| '|SPADreplace| '(XLAM NIL (FLOAT 0 |$DoubleFloatMaximum|))) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;One;$;15|)) (PUT '|DFLOAT;One;$;15| '|SPADreplace| '(XLAM NIL (FLOAT 1 |$DoubleFloatMaximum|))) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;exp1;$;16|)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;pi;$;17|)) (PUT '|DFLOAT;pi;$;17| '|SPADreplace| '(XLAM NIL PI)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Thing|) |DFLOAT;coerce;$Of;18|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Thing|) |DFLOAT;convert;$If;19|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%Boolean|) |DFLOAT;<;2$B;20|)) (PUT '|DFLOAT;<;2$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|)) (PUT '|DFLOAT;>=;2$B;23| '|SPADreplace| '>=) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;-;2$;24|)) (PUT '|DFLOAT;-;2$;24| '|SPADreplace| '-) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;+;3$;25|)) (PUT '|DFLOAT;+;3$;25| '|SPADreplace| '+) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;-;3$;26|)) (PUT '|DFLOAT;-;3$;26| '|SPADreplace| '-) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;*;3$;27|)) (PUT '|DFLOAT;*;3$;27| '|SPADreplace| '*) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;*;I2$;28|)) (PUT '|DFLOAT;*;I2$;28| '|SPADreplace| '*) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;max;3$;29|)) (PUT '|DFLOAT;max;3$;29| '|SPADreplace| 'MAX) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;min;3$;30|)) (PUT '|DFLOAT;min;3$;30| '|SPADreplace| 'MIN) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%Boolean|) |DFLOAT;=;2$B;31|)) (PUT '|DFLOAT;=;2$B;31| '|SPADreplace| '=) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Integer| |%Shell|) |%DoubleFloat|) |DFLOAT;/;$I$;32|)) (PUT '|DFLOAT;/;$I$;32| '|SPADreplace| '/) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;sqrt;2$;33|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;log10;2$;34|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Integer| |%Shell|) |%DoubleFloat|) |DFLOAT;**;$I$;35|)) (PUT '|DFLOAT;**;$I$;35| '|SPADreplace| 'EXPT) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;**;3$;36|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%DoubleFloat|) |DFLOAT;coerce;I$;37|)) (PUT '|DFLOAT;coerce;I$;37| '|SPADreplace| '(XLAM (|i|) (FLOAT |i| |$DoubleFloatMaximum|))) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;exp;2$;38|)) (PUT '|DFLOAT;exp;2$;38| '|SPADreplace| 'EXP) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;log;2$;39|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;log2;2$;40|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;sin;2$;41|)) (PUT '|DFLOAT;sin;2$;41| '|SPADreplace| 'SIN) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;cos;2$;42|)) (PUT '|DFLOAT;cos;2$;42| '|SPADreplace| 'COS) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;tan;2$;43|)) (PUT '|DFLOAT;tan;2$;43| '|SPADreplace| 'TAN) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;cot;2$;44|)) (PUT '|DFLOAT;cot;2$;44| '|SPADreplace| 'COT) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;sec;2$;45|)) (PUT '|DFLOAT;sec;2$;45| '|SPADreplace| 'SEC) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;csc;2$;46|)) (PUT '|DFLOAT;csc;2$;46| '|SPADreplace| 'CSC) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;asin;2$;47|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;acos;2$;48|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;atan;2$;49|)) (PUT '|DFLOAT;atan;2$;49| '|SPADreplace| 'ATAN) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;acsc;2$;50|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;acot;2$;51|)) (PUT '|DFLOAT;acot;2$;51| '|SPADreplace| 'ACOT) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;asec;2$;52|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;sinh;2$;53|)) (PUT '|DFLOAT;sinh;2$;53| '|SPADreplace| 'SINH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;cosh;2$;54|)) (PUT '|DFLOAT;cosh;2$;54| '|SPADreplace| 'COSH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;tanh;2$;55|)) (PUT '|DFLOAT;tanh;2$;55| '|SPADreplace| 'TANH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;csch;2$;56|)) (PUT '|DFLOAT;csch;2$;56| '|SPADreplace| 'CSCH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;coth;2$;57|)) (PUT '|DFLOAT;coth;2$;57| '|SPADreplace| 'COTH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;sech;2$;58|)) (PUT '|DFLOAT;sech;2$;58| '|SPADreplace| 'SECH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;asinh;2$;59|)) (PUT '|DFLOAT;asinh;2$;59| '|SPADreplace| 'ASINH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;acosh;2$;60|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;atanh;2$;61|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;acsch;2$;62|)) (PUT '|DFLOAT;acsch;2$;62| '|SPADreplace| 'ACSCH) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;acoth;2$;63|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;asech;2$;64|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;/;3$;65|)) (PUT '|DFLOAT;/;3$;65| '|SPADreplace| '/) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|) |DFLOAT;negative?;$B;66|)) (PUT '|DFLOAT;negative?;$B;66| '|SPADreplace| 'MINUSP) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|) |DFLOAT;zero?;$B;67|)) (PUT '|DFLOAT;zero?;$B;67| '|SPADreplace| 'ZEROP) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|) |DFLOAT;one?;$B;68|)) (PUT '|DFLOAT;one?;$B;68| '|SPADreplace| '(XLAM (|x|) (= |x| 1.0))) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Short|) |DFLOAT;hash;$Si;69|)) (PUT '|DFLOAT;hash;$Si;69| '|SPADreplace| 'HASHEQ) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|) |DFLOAT;recip;$U;70|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;differentiate;2$;71|)) (PUT '|DFLOAT;differentiate;2$;71| '|SPADreplace| '(XLAM (|x|) 0.0)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;Gamma;2$;72|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;Beta;3$;73|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) |DFLOAT;wholePart;$I;74|)) (PUT '|DFLOAT;wholePart;$I;74| '|SPADreplace| 'FIX) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| (|%IntegerSection| 1) |%Shell|) |%DoubleFloat|) |DFLOAT;float;2IPi$;75|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;convert;2$;76|)) (PUT '|DFLOAT;convert;2$;76| '|SPADreplace| '(XLAM (|x|) |x|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Thing|) |DFLOAT;convert;$F;77|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| (|%IntegerSection| 0) |%Shell|) |%Thing|) |DFLOAT;rationalApproximation;$NniF;78|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;atan;3$;79|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Thing|) |DFLOAT;retract;$F;80|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|) |DFLOAT;retractIfCan;$U;81|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) |DFLOAT;retract;$I;82|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|) |DFLOAT;retractIfCan;$U;83|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Integer|) |DFLOAT;sign;$I;84|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|) |DFLOAT;abs;2$;85|)) (PUT '|DFLOAT;abs;2$;85| '|SPADreplace| '(XLAM (|x|) (FLOAT-SIGN 1.0 |x|))) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|) |DFLOAT;manexp|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| (|%IntegerSection| 0) (|%IntegerSection| 0) |%Shell|) |%Thing|) |DFLOAT;rationalApproximation;$2NniF;87|)) (DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Thing| |%Shell|) |%DoubleFloat|) |DFLOAT;**;$F$;88|)) (DEFUN |DFLOAT;OMwrite;$S;1| (|x| $) (PROG (|sp| |dev| |s|) (RETURN (SEQ (LETT |s| "" |DFLOAT;OMwrite;$S;1|) (LETT |sp| (OM-STRINGTOSTRINGPTR |s|) |DFLOAT;OMwrite;$S;1|) (LETT |dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 7)) (|getShellEntry| $ 10)) |DFLOAT;OMwrite;$S;1|) (SPADCALL |dev| (|getShellEntry| $ 12)) (SPADCALL |dev| |x| (|getShellEntry| $ 15)) (SPADCALL |dev| (|getShellEntry| $ 16)) (SPADCALL |dev| (|getShellEntry| $ 17)) (LETT |s| (OM-STRINGPTRTOSTRING |sp|) |DFLOAT;OMwrite;$S;1|) (EXIT |s|))))) (DEFUN |DFLOAT;OMwrite;$BS;2| (|x| |wholeObj| $) (PROG (|sp| |dev| |s|) (RETURN (SEQ (LETT |s| "" |DFLOAT;OMwrite;$BS;2|) (LETT |sp| (OM-STRINGTOSTRINGPTR |s|) |DFLOAT;OMwrite;$BS;2|) (LETT |dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 7)) (|getShellEntry| $ 10)) |DFLOAT;OMwrite;$BS;2|) (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 12)))) (SPADCALL |dev| |x| (|getShellEntry| $ 15)) (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 16)))) (SPADCALL |dev| (|getShellEntry| $ 17)) (LETT |s| (OM-STRINGPTRTOSTRING |sp|) |DFLOAT;OMwrite;$BS;2|) (EXIT |s|))))) (DEFUN |DFLOAT;OMwrite;Omd$V;3| (|dev| |x| $) (SEQ (SPADCALL |dev| (|getShellEntry| $ 12)) (SPADCALL |dev| |x| (|getShellEntry| $ 15)) (EXIT (SPADCALL |dev| (|getShellEntry| $ 16))))) (DEFUN |DFLOAT;OMwrite;Omd$BV;4| (|dev| |x| |wholeObj| $) (SEQ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 12)))) (SPADCALL |dev| |x| (|getShellEntry| $ 15)) (EXIT (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 16))))))) (DEFUN |DFLOAT;checkComplex| (|x| $) (DECLARE (IGNORE $)) (C-TO-R |x|)) (DEFUN |DFLOAT;base;Pi;6| ($) (DECLARE (IGNORE $)) (FLOAT-RADIX 0.0)) (DEFUN |DFLOAT;mantissa;$I;7| (|x| $) (QCAR (|DFLOAT;manexp| |x| $))) (DEFUN |DFLOAT;exponent;$I;8| (|x| $) (QCDR (|DFLOAT;manexp| |x| $))) (DEFUN |DFLOAT;precision;Pi;9| ($) (DECLARE (IGNORE $)) (FLOAT-DIGITS 0.0)) (DEFUN |DFLOAT;bits;Pi;10| ($) (PROG (#0=#:G1423) (RETURN (COND ((EQL (FLOAT-RADIX 0.0) 2) (FLOAT-DIGITS 0.0)) ((EQL (FLOAT-RADIX 0.0) 16) (* 4 (FLOAT-DIGITS 0.0))) ('T (PROG1 (LETT #0# (FIX (SPADCALL (FLOAT-DIGITS 0.0) (|DFLOAT;log2;2$;40| (FLOAT (FLOAT-RADIX 0.0) |$DoubleFloatMaximum|) $) (|getShellEntry| $ 34))) |DFLOAT;bits;Pi;10|) (|check-subtype| (AND (>= #0# 0) (> #0# 0)) '(|PositiveInteger|) #0#))))))) (DEFUN |DFLOAT;max;$;11| ($) (DECLARE (IGNORE $)) |$DoubleFloatMaximum|) (DEFUN |DFLOAT;min;$;12| ($) (DECLARE (IGNORE $)) |$DoubleFloatMinimum|) (DEFUN |DFLOAT;order;$I;13| (|a| $) (- (+ (FLOAT-DIGITS 0.0) (|DFLOAT;exponent;$I;8| |a| $)) 1)) (DEFUN |DFLOAT;Zero;$;14| ($) (DECLARE (IGNORE $)) (FLOAT 0 |$DoubleFloatMaximum|)) (DEFUN |DFLOAT;One;$;15| ($) (DECLARE (IGNORE $)) (FLOAT 1 |$DoubleFloatMaximum|)) (DEFUN |DFLOAT;exp1;$;16| ($) (/ (FLOAT 534625820200 |$DoubleFloatMaximum|) (FLOAT 196677847971 |$DoubleFloatMaximum|))) (DEFUN |DFLOAT;pi;$;17| ($) (DECLARE (IGNORE $)) PI) (DEFUN |DFLOAT;coerce;$Of;18| (|x| $) (SPADCALL |x| (|getShellEntry| $ 48))) (DEFUN |DFLOAT;convert;$If;19| (|x| $) (SPADCALL |x| (|getShellEntry| $ 51))) (DEFUN |DFLOAT;<;2$B;20| (|x| |y| $) (DECLARE (IGNORE $)) (< |x| |y|)) (DEFUN |DFLOAT;>;2$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| $) (DECLARE (IGNORE $)) (>= |x| |y|)) (DEFUN |DFLOAT;-;2$;24| (|x| $) (DECLARE (IGNORE $)) (- |x|)) (DEFUN |DFLOAT;+;3$;25| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|)) (DEFUN |DFLOAT;-;3$;26| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|)) (DEFUN |DFLOAT;*;3$;27| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|)) (DEFUN |DFLOAT;*;I2$;28| (|i| |x| $) (DECLARE (IGNORE $)) (* |i| |x|)) (DEFUN |DFLOAT;max;3$;29| (|x| |y| $) (DECLARE (IGNORE $)) (MAX |x| |y|)) (DEFUN |DFLOAT;min;3$;30| (|x| |y| $) (DECLARE (IGNORE $)) (MIN |x| |y|)) (DEFUN |DFLOAT;=;2$B;31| (|x| |y| $) (DECLARE (IGNORE $)) (= |x| |y|)) (DEFUN |DFLOAT;/;$I$;32| (|x| |i| $) (DECLARE (IGNORE $)) (/ |x| |i|)) (DEFUN |DFLOAT;sqrt;2$;33| (|x| $) (C-TO-R (SQRT |x|))) (DEFUN |DFLOAT;log10;2$;34| (|x| $) (C-TO-R (|log| |x|))) (DEFUN |DFLOAT;**;$I$;35| (|x| |i| $) (DECLARE (IGNORE $)) (EXPT |x| |i|)) (DEFUN |DFLOAT;**;3$;36| (|x| |y| $) (C-TO-R (EXPT |x| |y|))) (DEFUN |DFLOAT;coerce;I$;37| (|i| $) (DECLARE (IGNORE $)) (FLOAT |i| |$DoubleFloatMaximum|)) (DEFUN |DFLOAT;exp;2$;38| (|x| $) (DECLARE (IGNORE $)) (EXP |x|)) (DEFUN |DFLOAT;log;2$;39| (|x| $) (C-TO-R (LN |x|))) (DEFUN |DFLOAT;log2;2$;40| (|x| $) (C-TO-R (LOG2 |x|))) (DEFUN |DFLOAT;sin;2$;41| (|x| $) (DECLARE (IGNORE $)) (SIN |x|)) (DEFUN |DFLOAT;cos;2$;42| (|x| $) (DECLARE (IGNORE $)) (COS |x|)) (DEFUN |DFLOAT;tan;2$;43| (|x| $) (DECLARE (IGNORE $)) (TAN |x|)) (DEFUN |DFLOAT;cot;2$;44| (|x| $) (DECLARE (IGNORE $)) (COT |x|)) (DEFUN |DFLOAT;sec;2$;45| (|x| $) (DECLARE (IGNORE $)) (SEC |x|)) (DEFUN |DFLOAT;csc;2$;46| (|x| $) (DECLARE (IGNORE $)) (CSC |x|)) (DEFUN |DFLOAT;asin;2$;47| (|x| $) (C-TO-R (ASIN |x|))) (DEFUN |DFLOAT;acos;2$;48| (|x| $) (C-TO-R (ACOS |x|))) (DEFUN |DFLOAT;atan;2$;49| (|x| $) (DECLARE (IGNORE $)) (ATAN |x|)) (DEFUN |DFLOAT;acsc;2$;50| (|x| $) (C-TO-R (ACSC |x|))) (DEFUN |DFLOAT;acot;2$;51| (|x| $) (DECLARE (IGNORE $)) (ACOT |x|)) (DEFUN |DFLOAT;asec;2$;52| (|x| $) (C-TO-R (ASEC |x|))) (DEFUN |DFLOAT;sinh;2$;53| (|x| $) (DECLARE (IGNORE $)) (SINH |x|)) (DEFUN |DFLOAT;cosh;2$;54| (|x| $) (DECLARE (IGNORE $)) (COSH |x|)) (DEFUN |DFLOAT;tanh;2$;55| (|x| $) (DECLARE (IGNORE $)) (TANH |x|)) (DEFUN |DFLOAT;csch;2$;56| (|x| $) (DECLARE (IGNORE $)) (CSCH |x|)) (DEFUN |DFLOAT;coth;2$;57| (|x| $) (DECLARE (IGNORE $)) (COTH |x|)) (DEFUN |DFLOAT;sech;2$;58| (|x| $) (DECLARE (IGNORE $)) (SECH |x|)) (DEFUN |DFLOAT;asinh;2$;59| (|x| $) (DECLARE (IGNORE $)) (ASINH |x|)) (DEFUN |DFLOAT;acosh;2$;60| (|x| $) (C-TO-R (ACOSH |x|))) (DEFUN |DFLOAT;atanh;2$;61| (|x| $) (C-TO-R (ATANH |x|))) (DEFUN |DFLOAT;acsch;2$;62| (|x| $) (DECLARE (IGNORE $)) (ACSCH |x|)) (DEFUN |DFLOAT;acoth;2$;63| (|x| $) (C-TO-R (ACOTH |x|))) (DEFUN |DFLOAT;asech;2$;64| (|x| $) (C-TO-R (ASECH |x|))) (DEFUN |DFLOAT;/;3$;65| (|x| |y| $) (DECLARE (IGNORE $)) (/ |x| |y|)) (DEFUN |DFLOAT;negative?;$B;66| (|x| $) (DECLARE (IGNORE $)) (MINUSP |x|)) (DEFUN |DFLOAT;zero?;$B;67| (|x| $) (DECLARE (IGNORE $)) (ZEROP |x|)) (DEFUN |DFLOAT;one?;$B;68| (|x| $) (DECLARE (IGNORE $)) (= |x| 1.0)) (DEFUN |DFLOAT;hash;$Si;69| (|x| $) (DECLARE (IGNORE $)) (HASHEQ |x|)) (DEFUN |DFLOAT;recip;$U;70| (|x| $) (COND ((ZEROP |x|) (CONS 1 "failed")) ('T (CONS 0 (/ 1.0 |x|))))) (DEFUN |DFLOAT;differentiate;2$;71| (|x| $) (DECLARE (IGNORE $)) 0.0) (DEFUN |DFLOAT;Gamma;2$;72| (|x| $) (SPADCALL |x| (|getShellEntry| $ 107))) (DEFUN |DFLOAT;Beta;3$;73| (|x| |y| $) (SPADCALL |x| |y| (|getShellEntry| $ 109))) (DEFUN |DFLOAT;wholePart;$I;74| (|x| $) (DECLARE (IGNORE $)) (FIX |x|)) (DEFUN |DFLOAT;float;2IPi$;75| (|ma| |ex| |b| $) (* |ma| (EXPT (FLOAT |b| |$DoubleFloatMaximum|) |ex|))) (DEFUN |DFLOAT;convert;2$;76| (|x| $) (DECLARE (IGNORE $)) |x|) (DEFUN |DFLOAT;convert;$F;77| (|x| $) (SPADCALL |x| (|getShellEntry| $ 113))) (DEFUN |DFLOAT;rationalApproximation;$NniF;78| (|x| |d| $) (|DFLOAT;rationalApproximation;$2NniF;87| |x| |d| 10 $)) (DEFUN |DFLOAT;atan;3$;79| (|x| 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|DFLOAT;retract;$I;82|) (EXIT (COND ((= |x| (FLOAT |n| |$DoubleFloatMaximum|)) |n|) ('T (|error| "Not an integer")))))))) (DEFUN |DFLOAT;retractIfCan;$U;83| (|x| $) (PROG (|n|) (RETURN (SEQ (LETT |n| (FIX |x|) |DFLOAT;retractIfCan;$U;83|) (EXIT (COND ((= |x| (FLOAT |n| |$DoubleFloatMaximum|)) (CONS 0 |n|)) ('T (CONS 1 "failed")))))))) (DEFUN |DFLOAT;sign;$I;84| (|x| $) (|DFLOAT;retract;$I;82| (FLOAT-SIGN |x| 1.0) $)) (DEFUN |DFLOAT;abs;2$;85| (|x| $) (DECLARE (IGNORE $)) (FLOAT-SIGN 1.0 |x|)) (DEFUN |DFLOAT;manexp| (|x| $) (PROG (|s| #0=#:G1528 |me| |two53|) (RETURN (SEQ (EXIT (COND ((ZEROP |x|) (CONS 0 0)) ('T (SEQ (LETT |s| (|DFLOAT;sign;$I;84| |x| $) |DFLOAT;manexp|) (LETT |x| (FLOAT-SIGN 1.0 |x|) |DFLOAT;manexp|) (COND ((> |x| |$DoubleFloatMaximum|) (PROGN (LETT #0# (CONS (+ (* |s| (|DFLOAT;mantissa;$I;7| |$DoubleFloatMaximum| $)) 1) (|DFLOAT;exponent;$I;8| |$DoubleFloatMaximum| $)) |DFLOAT;manexp|) (GO #0#)))) (LETT |me| (MANEXP |x|) |DFLOAT;manexp|) (LETT |two53| (EXPT (FLOAT-RADIX 0.0) (FLOAT-DIGITS 0.0)) |DFLOAT;manexp|) (EXIT (CONS (* |s| (FIX (* |two53| (QCAR |me|)))) (- (QCDR |me|) (FLOAT-DIGITS 0.0)))))))) #0# (EXIT #0#))))) (DEFUN |DFLOAT;rationalApproximation;$2NniF;87| (|f| |d| |b| $) (PROG (|#G109| |nu| |ex| BASE #0=#:G1531 |de| |tol| |#G110| |q| |r| |p2| |q2| #1=#:G1540 |#G111| |#G112| |p0| |p1| |#G113| |#G114| |q0| |q1| |#G115| |#G116| |s| |t|) (RETURN (SEQ (EXIT (SEQ (PROGN (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;87|) (EXIT (COND ((>= |ex| 0) (SPADCALL (* |nu| (EXPT BASE (PROG1 |ex| (|check-subtype| (>= |ex| 0) '(|NonNegativeInteger|) |ex|)))) (|getShellEntry| $ 136))) ('T (SEQ (LETT |de| (EXPT BASE (PROG1 (LETT #0# (- |ex|) |DFLOAT;rationalApproximation;$2NniF;87|) (|check-subtype| (>= #0# 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|DoubleFloat| () (PROG () (RETURN (PROG (#0=#:G1562) (RETURN (COND ((LETT #0# (HGET |$ConstructorCache| '|DoubleFloat|) |DoubleFloat|) (|CDRwithIncrement| (CDAR #0#))) ('T (UNWIND-PROTECT (PROG1 (CDDAR (HPUT |$ConstructorCache| '|DoubleFloat| (LIST (CONS NIL (CONS 1 (|DoubleFloat;|)))))) (LETT #0# T |DoubleFloat|)) (COND ((NOT #0#) (HREM |$ConstructorCache| '|DoubleFloat|))))))))))) (DEFUN |DoubleFloat;| () (PROG (|dv$| $ |pv$|) (RETURN (PROGN (LETT |dv$| '(|DoubleFloat|) . #0=(|DoubleFloat|)) (LETT $ (|newShell| 165) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) (|haddProp| |$ConstructorCache| '|DoubleFloat| NIL (CONS 1 $)) (|stuffDomainSlots| $) $)))) (MAKEPROP '|DoubleFloat| '|infovec| (LIST '#(NIL NIL NIL NIL NIL NIL (|OpenMathEncoding|) (0 . |OMencodingXML|) (|String|) (|OpenMathDevice|) (4 . |OMopenString|) (|Void|) (10 . |OMputObject|) (|DoubleFloat|) |DFLOAT;convert;2$;76| (15 . |OMputFloat|) (21 . |OMputEndObject|) (26 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(|NonNegativeInteger|) |DFLOAT;rationalApproximation;$2NniF;87| |DFLOAT;rationalApproximation;$NniF;78| (101 . |Zero|) |DFLOAT;abs;2$;85| |DFLOAT;atan;3$;79| (105 . |One|) |DFLOAT;retract;$F;80| (|Union| 115 '"failed") |DFLOAT;retractIfCan;$U;81| |DFLOAT;retract;$I;82| (|Union| 26 '"failed") |DFLOAT;retractIfCan;$U;83| |DFLOAT;sign;$I;84| (109 . *) (115 . **) (121 . |Zero|) (125 . |Zero|) (129 . >=) (135 . **) (141 . |coerce|) (146 . -) (151 . <) (157 . **) (|Record| (|:| |quotient| $) (|:| |remainder| $)) (163 . |divide|) (169 . =) (175 . /) (181 . |abs|) (186 . *) (192 . <) (198 . |zero?|) (203 . |negative?|) (208 . |one?|) (213 . |numer|) (218 . |denom|) (223 . |odd?|) |DFLOAT;**;$F$;88| (|PatternMatchResult| 112 $) (|Pattern| 112) (|Factored| $) (|List| $) (|Union| 157 '"failed") (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) (|Record| (|:| |coef1| $) (|:| |coef2| $)) (|Union| 160 '"failed") (|Record| (|:| |coef| 157) (|:| |generator| $)) (|SparseUnivariatePolynomial| $) (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $))) '#(~= 228 |zero?| 234 |wholePart| 239 |unitNormal| 244 |unitCanonical| 249 |unit?| 254 |truncate| 259 |tanh| 264 |tan| 269 |subtractIfCan| 274 |squareFreePart| 280 |squareFree| 285 |sqrt| 290 |sizeLess?| 295 |sinh| 301 |sin| 306 |sign| 311 |sech| 316 |sec| 321 |sample| 326 |round| 330 |retractIfCan| 335 |retract| 345 |rem| 355 |recip| 361 |rationalApproximation| 366 |quo| 379 |principalIdeal| 385 |prime?| 390 |precision| 395 |positive?| 399 |pi| 404 |patternMatch| 408 |order| 415 |one?| 420 |nthRoot| 425 |norm| 431 |negative?| 436 |multiEuclidean| 441 |min| 447 |max| 457 |mantissa| 467 |log2| 472 |log10| 477 |log| 482 |lcm| 487 |latex| 498 |inv| 503 |hash| 508 |gcdPolynomial| 513 |gcd| 519 |fractionPart| 530 |floor| 535 |float| 540 |factor| 553 |extendedEuclidean| 558 |exquo| 571 |expressIdealMember| 577 |exponent| 583 |exp1| 588 |exp| 592 |euclideanSize| 597 |divide| 602 |digits| 608 |differentiate| 612 |csch| 623 |csc| 628 |coth| 633 |cot| 638 |cosh| 643 |cos| 648 |convert| 653 |coerce| 673 |characteristic| 703 |ceiling| 707 |bits| 712 |before?| 716 |base| 722 |atanh| 726 |atan| 731 |associates?| 742 |asinh| 748 |asin| 753 |asech| 758 |asec| 763 |acsch| 768 |acsc| 773 |acoth| 778 |acot| 783 |acosh| 788 |acos| 793 |abs| 798 |Zero| 803 |One| 807 |OMwrite| 811 |Gamma| 835 D 840 |Beta| 851 >= 857 > 863 = 869 <= 875 < 881 / 887 - 899 + 910 ** 916 * 946) '((|approximate| . 0) (|canonicalsClosed| . 0) (|canonicalUnitNormal| . 0) (|noZeroDivisors| . 0) ((|commutative| "*") . 0) (|rightUnitary| . 0) (|leftUnitary| . 0) (|unitsKnown| . 0)) (CONS (|makeByteWordVec2| 1 '(0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0)) (CONS '#(|FloatingPointSystem&| |RealNumberSystem&| |Field&| |EuclideanDomain&| NIL |UniqueFactorizationDomain&| |GcdDomain&| |DivisionRing&| |IntegralDomain&| |Algebra&| 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(|LeftModule| $$) (|Rng|) (|RightModule| $$) (|OrderedCancellationAbelianMonoid|) (|AbelianGroup|) (|OrderedAbelianMonoid|) (|CancellationAbelianMonoid|) (|OrderedAbelianSemiGroup|) (|LinearSet| 115) (|LinearSet| $$) (|AbelianMonoid|) (|Monoid|) (|PatternMatchable| 112) (|OrderedSet|) (|LeftLinearSet| 115) (|RightLinearSet| 115) (|LeftLinearSet| $$) (|RightLinearSet| $$) (|AbelianSemiGroup|) (|SemiGroup|) (|LeftLinearSet| 26) (|TranscendentalFunctionCategory|) (|RetractableTo| 115) (|RetractableTo| 26) (|RealConstant|) (|SetCategory|) (|ConvertibleTo| 50) (|ElementaryFunctionCategory|) (|ArcHyperbolicFunctionCategory|) (|HyperbolicFunctionCategory|) (|ArcTrigonometricFunctionCategory|) (|TrigonometricFunctionCategory|) (|OpenMath|) (|ConvertibleTo| 155) (|RadicalCategory|) (|ConvertibleTo| 112) (|ConvertibleTo| 13) (|CoercibleFrom| 115) (|CoercibleFrom| $$) (|CoercibleFrom| 26) (|BasicType|) (|CoercibleTo| 47)) (|makeByteWordVec2| 164 '(0 6 0 7 2 9 0 8 6 10 1 9 11 0 12 2 9 11 0 13 15 1 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155 154 1 1 0 26 0 42 1 0 19 0 100 2 0 0 0 26 1 1 0 0 0 1 1 0 19 0 98 2 0 158 157 0 1 0 0 0 38 2 0 0 0 0 64 0 0 0 37 2 0 0 0 0 63 1 0 26 0 27 1 0 0 0 33 1 0 0 0 68 1 0 0 0 73 1 0 0 157 1 2 0 0 0 0 1 1 0 8 0 1 1 0 0 0 1 1 0 101 0 102 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 24 111 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 0 103 0 0 1 2 0 158 157 0 1 1 0 26 0 28 0 0 0 45 1 0 0 0 72 1 0 116 0 1 2 0 140 0 0 1 0 0 24 1 1 0 0 0 105 2 0 0 0 116 1 1 0 0 0 89 1 0 0 0 79 1 0 0 0 90 1 0 0 0 77 1 0 0 0 87 1 0 0 0 75 1 0 50 0 52 1 0 155 0 1 1 0 112 0 114 1 0 13 0 14 1 0 0 115 1 1 0 0 26 71 1 0 0 115 1 1 0 0 0 1 1 0 0 26 71 1 0 47 0 49 0 0 116 1 1 0 0 0 1 0 0 24 36 2 0 19 0 0 1 0 0 24 25 1 0 0 0 94 2 0 0 0 0 121 1 0 0 0 82 2 0 19 0 0 1 1 0 0 0 92 1 0 0 0 80 1 0 0 0 97 1 0 0 0 85 1 0 0 0 95 1 0 0 0 83 1 0 0 0 96 1 0 0 0 84 1 0 0 0 93 1 0 0 0 81 1 0 0 0 120 0 0 0 23 0 0 0 43 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 0 108 1 0 0 0 1 2 0 0 0 116 1 2 0 0 0 0 110 2 0 19 0 0 57 2 0 19 0 0 54 2 0 19 0 0 65 2 0 19 0 0 56 2 0 19 0 0 53 2 0 0 0 26 66 2 0 0 0 0 44 2 0 0 0 0 60 1 0 0 0 58 2 0 0 0 0 59 2 0 0 0 0 70 2 0 0 0 115 153 2 0 0 0 26 69 2 0 0 0 116 1 2 0 0 0 24 1 2 0 0 115 0 1 2 0 0 0 115 1 2 0 0 0 0 61 2 0 0 26 0 62 2 0 0 116 0 1 2 0 0 24 0 34))))) '|lookupComplete|)) (MAKEPROP '|DoubleFloat| 'NILADIC T)