path: root/src/algebra/strap/DFLOAT.lsp

(/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| '|%fbase|) 

(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| '|%fprec|) 

(DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 1))
                |DFLOAT;bits;Pi;10|)) 

(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;max;$;11|)) 

(PUT '|DFLOAT;max;$;11| '|SPADreplace| '|%fmaxval|) 

(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;min;$;12|)) 

(PUT '|DFLOAT;min;$;12| '|SPADreplace| '|%fminval|) 

(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 (|%i2f| 0))) 

(DECLAIM (FTYPE (FUNCTION (|%Shell|) |%DoubleFloat|) |DFLOAT;One;$;15|)) 

(PUT '|DFLOAT;One;$;15| '|SPADreplace| '(XLAM NIL (|%i2f| 1))) 

(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| '|%flt|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|)
                    |%Boolean|)
                |DFLOAT;>;2$B;21|)) 

(PUT '|DFLOAT;>;2$B;21| '|SPADreplace| '|%fgt|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|)
                    |%Boolean|)
                |DFLOAT;<=;2$B;22|)) 

(PUT '|DFLOAT;<=;2$B;22| '|SPADreplace| '|%fle|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|)
                    |%Boolean|)
                |DFLOAT;>=;2$B;23|)) 

(PUT '|DFLOAT;>=;2$B;23| '|SPADreplace| '|%fge|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;-;2$;24|)) 

(PUT '|DFLOAT;-;2$;24| '|SPADreplace| '|%fneg|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|)
                    |%DoubleFloat|)
                |DFLOAT;+;3$;25|)) 

(PUT '|DFLOAT;+;3$;25| '|SPADreplace| '|%fadd|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|)
                    |%DoubleFloat|)
                |DFLOAT;-;3$;26|)) 

(PUT '|DFLOAT;-;3$;26| '|SPADreplace| '|%fsub|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|)
                    |%DoubleFloat|)
                |DFLOAT;*;3$;27|)) 

(PUT '|DFLOAT;*;3$;27| '|SPADreplace| '|%fmul|) 

(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| '|%fmax|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|)
                    |%DoubleFloat|)
                |DFLOAT;min;3$;30|)) 

(PUT '|DFLOAT;min;3$;30| '|SPADreplace| '|%fmin|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%DoubleFloat| |%Shell|)
                    |%Boolean|)
                |DFLOAT;=;2$B;31|)) 

(PUT '|DFLOAT;=;2$B;31| '|SPADreplace| '|%feq|) 

(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| '|%i2f|) 

(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| '|%fsin|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;cos;2$;42|)) 

(PUT '|DFLOAT;cos;2$;42| '|SPADreplace| '|%fcos|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;tan;2$;43|)) 

(PUT '|DFLOAT;tan;2$;43| '|SPADreplace| '|%ftan|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;cot;2$;44|)) 

(PUT '|DFLOAT;cot;2$;44| '|SPADreplace| '|%fcot|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;sec;2$;45|)) 

(PUT '|DFLOAT;sec;2$;45| '|SPADreplace| '|%fsec|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;csc;2$;46|)) 

(PUT '|DFLOAT;csc;2$;46| '|SPADreplace| '|%fcsc|) 

(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| '|%fatan|) 

(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| '|%facot|) 

(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| '|%fsinh|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;cosh;2$;54|)) 

(PUT '|DFLOAT;cosh;2$;54| '|SPADreplace| '|%fcosh|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;tanh;2$;55|)) 

(PUT '|DFLOAT;tanh;2$;55| '|SPADreplace| '|%ftanh|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;csch;2$;56|)) 

(PUT '|DFLOAT;csch;2$;56| '|SPADreplace| '|%fcsch|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;coth;2$;57|)) 

(PUT '|DFLOAT;coth;2$;57| '|SPADreplace| '|%fcoth|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;sech;2$;58|)) 

(PUT '|DFLOAT;sech;2$;58| '|SPADreplace| '|%fsech|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;asinh;2$;59|)) 

(PUT '|DFLOAT;asinh;2$;59| '|SPADreplace| '|%fasinh|) 

(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| '|%facsch|) 

(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| '|%fdiv|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|)
                |DFLOAT;negative?;$B;66|)) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|)
                |DFLOAT;zero?;$B;67|)) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Boolean|)
                |DFLOAT;one?;$B;68|)) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Short|)
                |DFLOAT;hash;$Si;69|)) 

(PUT '|DFLOAT;hash;$Si;69| '|SPADreplace| '|%hash|) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%Pair|)
                |DFLOAT;recip;$U;70|)) 

(DECLAIM (FTYPE (FUNCTION (|%DoubleFloat| |%Shell|) |%DoubleFloat|)
                |DFLOAT;differentiate;2$;71|)) 

(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| '|%ftrunc|) 

(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| '|%fabs|) 

(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|)) 

(PUT '|DFLOAT;exp1;$;16| '|SPADreplace|
     '(XLAM NIL (|%fdiv| (|%i2f| 534625820200) (|%i2f| 196677847971)))) 

(PUT '|DFLOAT;negative?;$B;66| '|SPADreplace|
     '(XLAM (|x|) (|%flt| |x| (|%i2f| 0)))) 

(PUT '|DFLOAT;zero?;$B;67| '|SPADreplace|
     '(XLAM (|x|) (|%feq| |x| (|%i2f| 0)))) 

(PUT '|DFLOAT;one?;$B;68| '|SPADreplace|
     '(XLAM (|x|) (|%feq| |x| (|%i2f| 1)))) 

(PUT '|DFLOAT;differentiate;2$;71| '|SPADreplace|
     '(XLAM (|x|) (|%i2f| 0))) 

(DEFUN |DFLOAT;OMwrite;$S;1| (|x| $)
  (LET* ((|s| "") (|sp| (OM-STRINGTOSTRINGPTR |s|))
         (|dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 7))
                    (|getShellEntry| $ 10))))
    (SEQ (SPADCALL |dev| (|getShellEntry| $ 12))
         (SPADCALL |dev| |x| (|getShellEntry| $ 15))
         (SPADCALL |dev| (|getShellEntry| $ 16))
         (SPADCALL |dev| (|getShellEntry| $ 17))
         (SETQ |s| (OM-STRINGPTRTOSTRING |sp|)) (EXIT |s|)))) 

(DEFUN |DFLOAT;OMwrite;$BS;2| (|x| |wholeObj| $)
  (LET* ((|s| "") (|sp| (OM-STRINGTOSTRINGPTR |s|))
         (|dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 7))
                    (|getShellEntry| $ 10))))
    (SEQ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 12))))
         (SPADCALL |dev| |x| (|getShellEntry| $ 15))
         (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 16))))
         (SPADCALL |dev| (|getShellEntry| $ 17))
         (SETQ |s| (OM-STRINGPTRTOSTRING |sp|)) (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 $)) 2) 

(DEFUN |DFLOAT;mantissa;$I;7| (|x| $) (CAR (|DFLOAT;manexp| |x| $))) 

(DEFUN |DFLOAT;exponent;$I;8| (|x| $) (CDR (|DFLOAT;manexp| |x| $))) 

(DEFUN |DFLOAT;precision;Pi;9| ($) (DECLARE (IGNORE $)) 53) 

(DEFUN |DFLOAT;bits;Pi;10| ($)
  (COND
    ((EQL 2 2) 53)
    ((EQL 2 16) (* 4 53))
    (T (LET ((#0=#:G1431
                 (TRUNCATE
                     (SPADCALL 53
                         (|DFLOAT;log2;2$;40|
                             (FLOAT 2 |$DoubleFloatMaximum|) $)
                         (|getShellEntry| $ 32)))))
         (|check-subtype| (AND (NOT (MINUSP #0#)) (PLUSP #0#))
             '(|PositiveInteger|) #0#))))) 

(DEFUN |DFLOAT;max;$;11| ($)
  (DECLARE (IGNORE $))
  |$DoubleFloatMaximum|) 

(DEFUN |DFLOAT;min;$;12| ($)
  (DECLARE (IGNORE $))
  |$DoubleFloatMinimum|) 

(DEFUN |DFLOAT;order;$I;13| (|a| $)
  (- (+ 53 (|DFLOAT;exponent;$I;8| |a| $)) 1)) 

(DEFUN |DFLOAT;Zero;$;14| ($) (DECLARE (IGNORE $)) 0.0) 

(DEFUN |DFLOAT;One;$;15| ($) (DECLARE (IGNORE $)) 1.0) 

(DEFUN |DFLOAT;exp1;$;16| ($)
  (DECLARE (IGNORE $))
  (/ (FLOAT 534625820200 |$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 $)) (< |y| |x|)) 

(DEFUN |DFLOAT;<=;2$B;22| (|x| |y| $)
  (DECLARE (IGNORE $))
  (<= |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 $)) (SXHASH |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| $ 106))) 

(DEFUN |DFLOAT;Beta;3$;73| (|x| |y| $)
  (SPADCALL |x| |y| (|getShellEntry| $ 108))) 

(DEFUN |DFLOAT;wholePart;$I;74| (|x| $)
  (DECLARE (IGNORE $))
  (TRUNCATE |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| $ 112))) 

(DEFUN |DFLOAT;rationalApproximation;$NniF;78| (|x| |d| $)
  (|DFLOAT;rationalApproximation;$2NniF;87| |x| |d| 10 $)) 

(DEFUN |DFLOAT;atan;3$;79| (|x| |y| $)
  (PROG (|theta|)
    (RETURN
      (SEQ (COND
             ((ZEROP |x|)
              (COND
                ((PLUSP |y|) (/ PI 2))
                ((MINUSP |y|) (- (/ PI 2)))
                (T 0.0)))
             (T (SEQ (LETT |theta| (ATAN (ABS (/ |y| |x|)))
                           |DFLOAT;atan;3$;79|)
                     (COND
                       ((MINUSP |x|) (SETQ |theta| (- PI |theta|))))
                     (COND ((MINUSP |y|) (SETQ |theta| (- |theta|))))
                     (EXIT |theta|)))))))) 

(DEFUN |DFLOAT;retract;$F;80| (|x| $)
  (|DFLOAT;rationalApproximation;$2NniF;87| |x|
      (LET ((#0=#:G1514 (- 53 1)))
        (|check-subtype| (NOT (MINUSP #0#)) '(|NonNegativeInteger|)
            #0#))
      2 $)) 

(DEFUN |DFLOAT;retractIfCan;$U;81| (|x| $)
  (CONS 0
        (|DFLOAT;rationalApproximation;$2NniF;87| |x|
            (LET ((#0=#:G1522 (- 53 1)))
              (|check-subtype| (NOT (MINUSP #0#))
                  '(|NonNegativeInteger|) #0#))
            2 $))) 

(DEFUN |DFLOAT;retract;$I;82| (|x| $)
  (PROG (|n|)
    (RETURN
      (COND
        ((= |x|
            (FLOAT (LETT |n| (TRUNCATE |x|) |DFLOAT;retract;$I;82|)
                   |$DoubleFloatMaximum|))
         |n|)
        (T (|error| "Not an integer")))))) 

(DEFUN |DFLOAT;retractIfCan;$U;83| (|x| $)
  (PROG (|n|)
    (RETURN
      (COND
        ((= |x|
            (FLOAT (LETT |n| (TRUNCATE |x|)
                         |DFLOAT;retractIfCan;$U;83|)
                   |$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 $)) (ABS |x|)) 

(DEFUN |DFLOAT;manexp| (|x| $)
  (PROG (|s| |me| |two53|)
    (RETURN
      (SEQ (COND
             ((ZEROP |x|) (CONS 0 0))
             (T (SEQ (LETT |s| (|DFLOAT;sign;$I;84| |x| $)
                           |DFLOAT;manexp|)
                     (SETQ |x| (ABS |x|))
                     (COND
                       ((< |$DoubleFloatMaximum| |x|)
                        (RETURN-FROM |DFLOAT;manexp|
                          (CONS (+ (* |s|
                                    (|DFLOAT;mantissa;$I;7|
                                     |$DoubleFloatMaximum| $))
                                   1)
                                (|DFLOAT;exponent;$I;8|
                                    |$DoubleFloatMaximum| $)))))
                     (LETT |me| (MANEXP |x|) |DFLOAT;manexp|)
                     (LETT |two53| (EXPT 2 53) |DFLOAT;manexp|)
                     (EXIT (CONS (* |s|
                                    (TRUNCATE (* |two53| (CAR |me|))))
                                 (- (CDR |me|) 53)))))))))) 

(DEFUN |DFLOAT;rationalApproximation;$2NniF;87| (|f| |d| |b| $)
  (PROG (BASE |de| |tol| |s| |t| |p0| |p1| |q0| |q1| |#G107| |q| |r|
              |p2| |q2| |#G108| |#G109| |#G110| |#G111| |#G112|
              |#G113|)
    (RETURN
      (LET* ((|#G106| (|DFLOAT;manexp| |f| $)) (|nu| (CAR |#G106|))
             (|ex| (CDR |#G106|)))
        (SEQ |#G106|
             (LETT BASE 2 |DFLOAT;rationalApproximation;$2NniF;87|)
             (EXIT (COND
                     ((NOT (MINUSP |ex|))
                      (SPADCALL
                          (* |nu|
                             (EXPT BASE
                                   (|check-subtype| (NOT (MINUSP |ex|))
                                    '(|NonNegativeInteger|) |ex|)))
                          (|getShellEntry| $ 134)))
                     (T (SEQ (LETT |de|
                                   (EXPT BASE
                                    (LET ((#0=#:G1550 (- |ex|)))
                                      (|check-subtype|
                                       (NOT (MINUSP #0#))
                                       '(|NonNegativeInteger|) #0#)))
                                   |DFLOAT;rationalApproximation;$2NniF;87|)
                             (EXIT (COND
                                     ((< |b| 2)
                                      (|error| "base must be > 1"))
                                     (T
                                      (SEQ
                                       (LETT |tol| (EXPT |b| |d|)
                                        |DFLOAT;rationalApproximation;$2NniF;87|)
                                       (LETT |s| |nu|
                                        |DFLOAT;rationalApproximation;$2NniF;87|)
                                       (LETT |t| |de|
                                        |DFLOAT;rationalApproximation;$2NniF;87|)
                                       (LETT |p0| 0
                                        |DFLOAT;rationalApproximation;$2NniF;87|)
                                       (LETT |p1| 1
                                        |DFLOAT;rationalApproximation;$2NniF;87|)
                                       (LETT |q0| 1
                                        |DFLOAT;rationalApproximation;$2NniF;87|)
                                       (LETT |q1| 0
                                        |DFLOAT;rationalApproximation;$2NniF;87|)
                                       (EXIT
                                        (LOOP
                                          (COND
                                            (NIL (RETURN NIL))
                                            (T
                                             (SEQ
                                              (LETT |#G107|
                                               (MULTIPLE-VALUE-CALL
                                                #'CONS
                                                (TRUNCATE |s| |t|))
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              (LETT |q| (CAR |#G107|)
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              (LETT |r| (CDR |#G107|)
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              |#G107|
                                              (LETT |p2|
                                               (+ (* |q| |p1|) |p0|)
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              (LETT |q2|
                                               (+ (* |q| |q1|) |q0|)
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              (COND
                                                ((OR (ZEROP |r|)
                                                  (<
                                                   (SPADCALL |tol|
                                                    (ABS
                                                     (- (* |nu| |q2|)
                                                      (* |de| |p2|)))
                                                    (|getShellEntry| $
                                                     143))
                                                   (* |de| (ABS |p2|))))
                                                 (RETURN-FROM
                                                  |DFLOAT;rationalApproximation;$2NniF;87|
                                                   (SPADCALL |p2| |q2|
                                                    (|getShellEntry| $
                                                     141)))))
                                              (LETT |#G108| |p1|
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              (LETT |#G109| |p2|
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              (SETQ |p0| |#G108|)
                                              (SETQ |p1| |#G109|)
                                              (LETT |#G110| |q1|
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              (LETT |#G111| |q2|
                                               |DFLOAT;rationalApproximation;$2NniF;87|)
                                              (SETQ |q0| |#G110|)
                                              (SETQ |q1| |#G111|)
                                              (EXIT
                                               (PROGN
                                                 (LETT |#G112| |t|
                                                  |DFLOAT;rationalApproximation;$2NniF;87|)
                                                 (LETT |#G113| |r|
                                                  |DFLOAT;rationalApproximation;$2NniF;87|)
                                                 (SETQ |s| |#G112|)
                                                 (SETQ |t| |#G113|))))))))))))))))))))) 

(DEFUN |DFLOAT;**;$F$;88| (|x| |r| $)
  (PROG (|n| |d|)
    (RETURN
      (SEQ (COND
             ((ZEROP |x|)
              (COND
                ((SPADCALL |r| (|getShellEntry| $ 145))
                 (|error| "0**0 is undefined"))
                ((SPADCALL |r| (|getShellEntry| $ 146))
                 (|error| "division by 0"))
                (T 0.0)))
             ((OR (SPADCALL |r| (|getShellEntry| $ 145)) (= |x| 1.0))
              1.0)
             ((SPADCALL |r| (|getShellEntry| $ 147)) |x|)
             (T (SEQ (LETT |n| (SPADCALL |r| (|getShellEntry| $ 148))
                           |DFLOAT;**;$F$;88|)
                     (LETT |d| (SPADCALL |r| (|getShellEntry| $ 149))
                           |DFLOAT;**;$F$;88|)
                     (EXIT (COND
                             ((MINUSP |x|)
                              (COND
                                ((ODDP |d|)
                                 (COND
                                   ((ODDP |n|)
                                    (RETURN-FROM |DFLOAT;**;$F$;88|
                                      (-
                                       (|DFLOAT;**;$F$;88| (- |x|) |r|
                                        $))))
                                   (T
                                    (RETURN-FROM |DFLOAT;**;$F$;88|
                                      (|DFLOAT;**;$F$;88| (- |x|) |r|
                                       $)))))
                                (T (|error| "negative root"))))
                             ((EQL |d| 2)
                              (EXPT (|DFLOAT;sqrt;2$;33| |x| $) |n|))
                             (T (|DFLOAT;**;3$;36| |x|
                                    (/
                                     (FLOAT |n| |$DoubleFloatMaximum|)
                                     (FLOAT |d| |$DoubleFloatMaximum|))
                                    $))))))))))) 

(DEFUN |DoubleFloat| ()
  (DECLARE (SPECIAL |$ConstructorCache|))
  (PROG (#0=#:G1581)
    (RETURN
      (COND
        ((SETQ #0# (HGET |$ConstructorCache| '|DoubleFloat|))
         (|CDRwithIncrement| (CDAR #0#)))
        (T (UNWIND-PROTECT
             (PROG1 (CDDAR (HPUT |$ConstructorCache| '|DoubleFloat|
                                 (LIST (CONS NIL
                                        (CONS 1 (|DoubleFloat;|))))))
               (SETQ #0# T))
             (COND
               ((NOT #0#) (HREM |$ConstructorCache| '|DoubleFloat|))))))))) 

(DEFUN |DoubleFloat;| ()
  (DECLARE (SPECIAL |$ConstructorCache|))
  (LET ((|dv$| (LIST '|DoubleFloat|)) ($ (|newShell| 164))
        (|pv$| (|buildPredVector| 0 0 NIL)))
    (|setShellEntry| $ 0 |dv$|)
    (|setShellEntry| $ 3 |pv$|)
    (|haddProp| |$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$;76| (15 . |OMputFloat|)
             (21 . |OMputEndObject|) (26 . |OMclose|)
             |DFLOAT;OMwrite;$S;1| (|Boolean|) |DFLOAT;OMwrite;$BS;2|
             |DFLOAT;OMwrite;Omd$V;3| |DFLOAT;OMwrite;Omd$BV;4|
             (|PositiveInteger|) |DFLOAT;base;Pi;6| (|Integer|)
             |DFLOAT;mantissa;$I;7| |DFLOAT;exponent;$I;8|
             |DFLOAT;precision;Pi;9| (31 . =) (37 . *)
             |DFLOAT;log2;2$;40| (43 . *) |DFLOAT;wholePart;$I;74|
             |DFLOAT;bits;Pi;10| |DFLOAT;max;$;11| |DFLOAT;min;$;12|
             (49 . +) (55 . |One|) (59 . -) |DFLOAT;order;$I;13|
             (65 . |Zero|)
             (CONS IDENTITY
                   (FUNCALL (|dispatchFunction| |DFLOAT;Zero;$;14|) $))
             (CONS IDENTITY
                   (FUNCALL (|dispatchFunction| |DFLOAT;One;$;15|) $))
             |DFLOAT;/;3$;65| |DFLOAT;exp1;$;16| |DFLOAT;pi;$;17|
             (|OutputForm|) (69 . |outputForm|) |DFLOAT;coerce;$Of;18|
             (|InputForm|) (74 . |convert|) |DFLOAT;convert;$If;19|
             |DFLOAT;<;2$B;20| |DFLOAT;>;2$B;21| |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$;36| (79 . |coerce|)
             |DFLOAT;exp;2$;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|) (84 . |Gamma|)
             |DFLOAT;Gamma;2$;72| (89 . |Beta|) |DFLOAT;Beta;3$;73|
             |DFLOAT;float;2IPi$;75| (|Float|) (95 . |convert|)
             |DFLOAT;convert;$F;77| (|Fraction| 25)
             (|NonNegativeInteger|)
             |DFLOAT;rationalApproximation;$2NniF;87|
             |DFLOAT;rationalApproximation;$NniF;78| |DFLOAT;abs;2$;85|
             |DFLOAT;atan;3$;79| (100 . |One|) |DFLOAT;retract;$F;80|
             (|Union| 114 '"failed") |DFLOAT;retractIfCan;$U;81|
             |DFLOAT;retract;$I;82| (|Union| 25 '"failed")
             |DFLOAT;retractIfCan;$U;83| |DFLOAT;sign;$I;84| (104 . *)
             (110 . **) (116 . |Zero|) (120 . |Zero|) (124 . >=)
             (130 . **) (136 . |coerce|) (141 . -) (146 . <) (152 . **)
             (|Record| (|:| |quotient| $) (|:| |remainder| $))
             (158 . |divide|) (164 . =) (170 . /) (176 . |abs|)
             (181 . *) (187 . <) (193 . |zero?|) (198 . |negative?|)
             (203 . |one?|) (208 . |numer|) (213 . |denom|)
             (218 . |odd?|) |DFLOAT;**;$F$;88| |DFLOAT;coerce;I$;37|
             (|PatternMatchResult| 111 $) (|Pattern| 111)
             (|Factored| $) (|List| $) (|Union| 156 '"failed")
             (|Record| (|:| |coef1| $) (|:| |coef2| $)
                 (|:| |generator| $))
             (|Record| (|:| |coef1| $) (|:| |coef2| $))
             (|Union| 159 '"failed")
             (|Record| (|:| |coef| 156) (|:| |generator| $))
             (|SparseUnivariatePolynomial| $)
             (|Record| (|:| |unit| $) (|:| |canonical| $)
                 (|:| |associate| $)))
          '#(~= 223 |zero?| 229 |wholePart| 234 |unitNormal| 239
             |unitCanonical| 244 |unit?| 249 |truncate| 254 |tanh| 259
             |tan| 264 |subtractIfCan| 269 |squareFreePart| 275
             |squareFree| 280 |sqrt| 285 |sizeLess?| 290 |sinh| 296
             |sin| 301 |sign| 306 |sech| 311 |sec| 316 |sample| 321
             |round| 325 |retractIfCan| 330 |retract| 340 |rem| 350
             |recip| 356 |rationalApproximation| 361 |quo| 374
             |principalIdeal| 380 |prime?| 385 |precision| 390
             |positive?| 394 |pi| 399 |patternMatch| 403 |order| 410
             |one?| 415 |nthRoot| 420 |norm| 426 |negative?| 431
             |multiEuclidean| 436 |min| 442 |max| 452 |mantissa| 462
             |log2| 467 |log10| 472 |log| 477 |lcm| 482 |latex| 493
             |inv| 498 |hash| 503 |gcdPolynomial| 508 |gcd| 514
             |fractionPart| 525 |floor| 530 |float| 535 |factor| 548
             |extendedEuclidean| 553 |exquo| 566 |expressIdealMember|
             572 |exponent| 578 |exp1| 583 |exp| 587 |euclideanSize|
             592 |divide| 597 |digits| 603 |differentiate| 607 |csch|
             618 |csc| 623 |coth| 628 |cot| 633 |cosh| 638 |cos| 643
             |convert| 648 |coerce| 668 |characteristic| 698 |ceiling|
             702 |bits| 707 |before?| 711 |base| 717 |atanh| 721 |atan|
             726 |associates?| 737 |asinh| 743 |asin| 748 |asech| 753
             |asec| 758 |acsch| 763 |acsc| 768 |acoth| 773 |acot| 778
             |acosh| 783 |acos| 788 |abs| 793 |Zero| 798 |One| 802
             |OMwrite| 806 |Gamma| 830 D 835 |Beta| 846 >= 852 > 858 =
             864 <= 870 < 876 / 882 - 894 + 905 ** 911 * 941)
          '((|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 0 0 0 0))
                (CONS '#(|FloatingPointSystem&| |RealNumberSystem&|
                         |Field&| |EuclideanDomain&| NIL
                         |UniqueFactorizationDomain&| |GcdDomain&|
                         |DivisionRing&| |IntegralDomain&| |Algebra&|
                         |Algebra&| NIL NIL |OrderedRing&| |Module&|
                         NIL NIL |Module&| NIL NIL |Ring&| NIL NIL NIL
                         NIL NIL NIL NIL |AbelianGroup&| NIL NIL NIL
                         NIL NIL |AbelianMonoid&| |Monoid&| NIL NIL NIL
                         NIL NIL NIL |AbelianSemiGroup&| |SemiGroup&|
                         NIL |DifferentialSpace&| |OrderedType&|
                         |SetCategory&|
                         |TranscendentalFunctionCategory&|
                         |DifferentialDomain&| |RetractableTo&|
                         |RetractableTo&| NIL |BasicType&| NIL
                         |ElementaryFunctionCategory&| NIL
                         |HyperbolicFunctionCategory&|
                         |ArcTrigonometricFunctionCategory&|
                         |TrigonometricFunctionCategory&| NIL NIL
                         |RadicalCategory&| NIL NIL NIL NIL NIL NIL
                         NIL)
                      (CONS '#((|FloatingPointSystem|)
                               (|RealNumberSystem|) (|Field|)
                               (|EuclideanDomain|)
                               (|PrincipalIdealDomain|)
                               (|UniqueFactorizationDomain|)
                               (|GcdDomain|) (|DivisionRing|)
                               (|IntegralDomain|) (|Algebra| 114)
                               (|Algebra| $$) (|DifferentialRing|)
                               (|CharacteristicZero|) (|OrderedRing|)
                               (|Module| 114) (|EntireRing|)
                               (|CommutativeRing|) (|Module| $$)
                               (|BiModule| 114 114) (|BiModule| $$ $$)
                               (|Ring|) (|OrderedAbelianGroup|)
                               (|RightModule| 114) (|LeftModule| 114)
                               (|LeftModule| $$) (|Rng|)
                               (|RightModule| $$)
                               (|OrderedCancellationAbelianMonoid|)
                               (|AbelianGroup|)
                               (|OrderedAbelianMonoid|)
                               (|CancellationAbelianMonoid|)
                               (|OrderedAbelianSemiGroup|)
                               (|LinearSet| 114) (|LinearSet| $$)
                               (|AbelianMonoid|) (|Monoid|)
                               (|PatternMatchable| 111) (|OrderedSet|)
                               (|LeftLinearSet| 114)
                               (|RightLinearSet| 114)
                               (|LeftLinearSet| $$)
                               (|RightLinearSet| $$)
                               (|AbelianSemiGroup|) (|SemiGroup|)
                               (|LeftLinearSet| 25)
                               (|DifferentialSpace|) (|OrderedType|)
                               (|SetCategory|)
                               (|TranscendentalFunctionCategory|)
                               (|DifferentialDomain| $$)
                               (|RetractableTo| 114)
                               (|RetractableTo| 25) (|RealConstant|)
                               (|BasicType|) (|ConvertibleTo| 50)
                               (|ElementaryFunctionCategory|)
                               (|ArcHyperbolicFunctionCategory|)
                               (|HyperbolicFunctionCategory|)
                               (|ArcTrigonometricFunctionCategory|)
                               (|TrigonometricFunctionCategory|)
                               (|OpenMath|) (|ConvertibleTo| 154)
                               (|RadicalCategory|)
                               (|ConvertibleTo| 111)
                               (|ConvertibleTo| 13)
                               (|CoercibleFrom| 114)
                               (|CoercibleFrom| $$)
                               (|CoercibleFrom| 25) (|Type|)
                               (|CoercibleTo| 47))
                            (|makeByteWordVec2| 163
                                '(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 2
                                  23 19 0 0 29 2 23 0 23 0 30 2 0 0 23
                                  0 32 2 25 0 0 0 37 0 25 0 38 2 25 0 0
                                  0 39 0 25 0 41 1 47 0 13 48 1 50 0 13
                                  51 1 0 0 25 70 1 105 13 13 106 2 105
                                  13 13 13 108 1 111 0 13 112 0 23 0
                                  120 2 25 0 25 0 128 2 25 0 0 115 129
                                  0 114 0 130 0 115 0 131 2 25 19 0 0
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                                  25 0 0 135 2 115 19 0 0 136 2 115 0 0
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                                  140 2 114 0 25 25 141 1 25 0 0 142 2
                                  25 0 115 0 143 2 25 19 0 0 144 1 114
                                  19 0 145 1 114 19 0 146 1 114 19 0
                                  147 1 114 25 0 148 1 114 25 0 149 1
                                  25 19 0 150 2 0 19 0 0 1 1 0 19 0 98
                                  1 0 25 0 33 1 0 163 0 1 1 0 0 0 1 1 0
                                  19 0 1 1 0 0 0 1 1 0 0 0 87 1 0 0 0
                                  75 2 0 102 0 0 1 1 0 0 0 1 1 0 155 0
                                  1 1 0 0 0 66 2 0 19 0 0 1 1 0 0 0 85
                                  1 0 0 0 73 1 0 25 0 127 1 0 0 0 90 1
                                  0 0 0 77 0 0 0 1 1 0 0 0 1 1 0 122 0
                                  123 1 0 125 0 126 1 0 114 0 121 1 0
                                  25 0 124 2 0 0 0 0 1 1 0 102 0 103 2
                                  0 114 0 115 117 3 0 114 0 115 115 116
                                  2 0 0 0 0 1 1 0 161 156 1 1 0 19 0 1
                                  0 0 23 28 1 0 19 0 1 0 0 0 46 3 0 153
                                  0 154 153 1 1 0 25 0 40 1 0 19 0 99 2
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                                  2 0 0 0 0 1 1 0 8 0 1 1 0 0 0 1 1 0
                                  100 0 101 2 0 162 162 162 1 1 0 0 156
                                  1 2 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 3 0
                                  0 25 25 23 110 2 0 0 25 25 1 1 0 155
                                  0 1 2 0 158 0 0 1 3 0 160 0 0 0 1 2 0
                                  102 0 0 1 2 0 157 156 0 1 1 0 25 0 27
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                                  138 0 0 1 0 0 23 1 2 0 0 0 115 1 1 0
                                  0 0 104 1 0 0 0 88 1 0 0 0 78 1 0 0 0
                                  89 1 0 0 0 76 1 0 0 0 86 1 0 0 0 74 1
                                  0 50 0 52 1 0 154 0 1 1 0 111 0 113 1
                                  0 13 0 14 1 0 0 114 1 1 0 0 25 152 1
                                  0 0 114 1 1 0 0 0 1 1 0 0 25 152 1 0
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                                  0 0 0 119 1 0 0 0 81 2 0 19 0 0 1 1 0
                                  0 0 91 1 0 0 0 79 1 0 0 0 96 1 0 0 0
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                                  0 118 0 0 0 42 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 0 107 2 0 0 0 115 1 1 0 0
                                  0 1 2 0 0 0 0 109 2 0 19 0 0 56 2 0
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                                  2 0 19 0 0 53 2 0 0 0 25 65 2 0 0 0 0
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                                  0 25 68 2 0 0 0 115 1 2 0 0 0 23 1 2
                                  0 0 114 0 1 2 0 0 0 114 1 2 0 0 0 0
                                  60 2 0 0 25 0 61 2 0 0 115 0 1 2 0 0
                                  23 0 32)))))
          '|lookupComplete|)) 

(MAKEPROP '|DoubleFloat| 'NILADIC T)