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5.3 Numeric

— Constant: most-positive-fixnum

The immediate integer closest to positive infinity. See Configuration.

— Constant: most-negative-fixnum

The immediate integer closest to negative infinity.

— Constant: $pi
— Constant: pi

The ratio of the circumference to the diameter of a circle.

These procedures are in addition to those in See Irrational Integer Functions.

— Function: exact-round x
— Function: exact-floor x
— Function: exact-ceiling x
— Function: exact-truncate x

Return exact integers.

These procedures augment the standard capabilities in Numerical operations. Many are from See Irrational Real Functions.

— Function: pi* z

(* pi z)

— Function: pi/ z

(/ pi z)

— Function: sinh z
— Function: cosh z
— Function: tanh z

Return the hyperbolic sine, cosine, and tangent of z

— Function: asinh z
— Function: acosh z
— Function: atanh z

Return the inverse hyperbolic sine, cosine, and tangent of z

— Function: real-sqrt x
— Function: real-exp x
— Function: real-ln x
— Function: real-sin x
— Function: real-cos x
— Function: real-tan x
— Function: real-asin x
— Function: real-acos x
— Function: real-atan x
— Function: atan y x
— Function: real-sinh x
— Function: real-cosh x
— Function: real-tanh x
— Function: real-asinh x
— Function: real-acosh x
— Function: real-atanh x

Real-only versions of these popular functions. The argument x must be a real number. It is an error if the value which should be returned by a call to these procedures is not real.

— Function: real-log10 x

Real-only base 10 logarithm.

— Function: $atan2 y x

Computes (angle (make-rectangular x y)) for real numbers y and x.

— Function: real-expt x1 x2

Returns real number x1 raised to the real power x2. It is an error if the value which should be returned by a call to real-expt is not real.

— Function: infinite? z
— Function: finite? z

All IEEE-754 numbers except positive and negative infinity and NaN (non-a-number) are finite.