Chicken » Module (chicken flonum)

## Module (chicken flonum)

Because CHICKEN supports a full numeric tower, operations can sometimes incur a subtantial overhead to simply detect the type of numbers you're passing in. When you know you're definitely dealing only with flonums, you can choose to use flonum-specific operations to avoid this overhead.

This is purely a performance hack. You might want to consider adding type annotations instead, this often gives the same performance boost without having to rewrite all numeric operators in your code.

### Arithmetic floating-point operations

fp+ X Yprocedure
fp- X Yprocedure
fp* X Yprocedure
fp/ X Yprocedure
fp*+ X Y Zprocedure
fpgcd X Yprocedure
fpneg Xprocedure
fpmin X Yprocedure
fpmax X Yprocedure
fp= X Yprocedure
fp> X Yprocedure
fp< X Yprocedure
fp>= X Yprocedure
fp<= X Yprocedure
fpfloor Xprocedure
fpceiling Xprocedure
fptruncate Xprocedure
fpround Xprocedure
fpsin Xprocedure
fpcos Xprocedure
fptan Xprocedure
fpasin Xprocedure
fpacos Xprocedure
fpatan Xprocedure
fpatan2 X Yprocedure
fpsinh Xprocedure
fpcosh Xprocedure
fptanh Xprocedure
fpasinh Xprocedure
fpacosh Xprocedure
fpatanh Xprocedure
fplog Xprocedure
fpexp Xprocedure
fpexpt X Yprocedure
fpsqrt Xprocedure
fpabs Xprocedure
fpinteger? Xprocedure

  Arithmetic floating-point operations.

  In safe mode, these procedures throw a type error when given non-float arguments. In unsafe mode, these procedures do not check their arguments. A non-flonum argument in unsafe mode can crash the application. `fp*+` implements fused multiply-add `(X * Y) + Z`.

  Note: `fpround` uses the rounding mode that your C library implements, which is usually different from R5RS.

## Flonum limits

maximum-flonumconstant
minimum-flonumconstant
flonum-radixconstant
flonum-epsilonconstant
flonum-precisionconstant
flonum-decimal-precisionconstant
flonum-maximum-exponentconstant
flonum-minimum-exponentconstant
flonum-maximum-decimal-exponentconstant
flonum-minimum-decimal-exponentconstant

  Platform-specific flonum limits.

flonum-print-precision #!optional PRECISIONprocedure

  Gets and sets the number of significant digits printed for a floating-point number. PRECISION must be a positive `fixnum`. Returns the setting that was previously in effect.

  The default print precision is 15 on nearly all systems, and 7 on the rare system on which the `double` type is only single-precision.

  Note: To ensure read/write invariance for all floating-point numbers, you must increase print precision from 15 to 17 (or from 7 to 9). For example:

      > (define a (expt 2 -53))
      > (define b (+ a (* 2 (expt 10 -32))))
      > (eqv? a b)
      #f
      > (flonum-print-precision 15)
      > (cons a b)
      (1.11022302462516e-16 .
       1.11022302462516e-16)            ;; same printed representation
      > (flonum-print-precision 17)
      > (cons a b)
      (1.1102230246251565e-16 .
       1.1102230246251568e-16)          ;; differs in last place

  On the downside, this will result in unnecessarily precise representations of many numbers:

      > (flonum-print-precision 17)
      > 0.1
      0.10000000000000001

  The maximum number of decimal digits required to uniquely represent all floating-point numbers of a certain precision is given by the formula `ceil(1+N*log10(2))`, where N is the number of bits of precision; for double-precision, `N=53`.

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