
Structure Real
(* Real  SML Basis Library *)
type real = real
exception Div
and Overflow
val ~ : real > real
val + : real * real > real
val  : real * real > real
val * : real * real > real
val / : real * real > real
val abs : real > real
val min : real * real > real
val max : real * real > real
val sign : real > int
val compare : real * real > order
val sameSign : real * real > bool
val toDefault : real > real
val fromDefault : real > real
val fromInt : int > real
val floor : real > int
val ceil : real > int
val trunc : real > int
val round : real > int
val > : real * real > bool
val >= : real * real > bool
val < : real * real > bool
val <= : real * real > bool
val == : real * real > bool
val != : real * real > bool
val ?= : real * real > bool
val toString : real > string
val fromString : string > real option
val scan : (char, 'a) StringCvt.reader > (real, 'a) StringCvt.reader
val fmt : StringCvt.realfmt > real > string
(*
[~]
[*]
[/]
[+]
[]
[>]
[>=]
[<]
[<=] are the usual operations on defined reals (excluding NaN and Inf).
[abs x] is x if x >= 0, and ~x if x < 0, that is, the absolute value of x.
[min(x, y)] is the smaller of x and y.
[max(x, y)] is the larger of x and y.
[sign x] is ~1, 0, or 1, according as x is negative, zero, or positive.
[compare(x, y)] returns LESS, EQUAL, or GREATER, according
as x is less than, equal to, or greater than y.
[sameSign(x, y)] is true iff sign x = sign y.
[toDefault x] is x.
[fromDefault x] is x.
[fromInt i] is the floatingpoint number representing integer i.
[floor r] is the largest integer <= r (rounds towards minus infinity).
May raise Overflow.
[ceil r] is the smallest integer >= r (rounds towards plus infinity).
May raise Overflow.
[trunc r] is the numerically largest integer between r and zero
(rounds towards zero). May raise Overflow.
[round r] is the integer nearest to r, using the default rounding
mode. May raise Overflow.
[==(x, y)] is equivalent to x=y in Moscow ML (because of the
absence of NaNs and Infs).
[!=(x, y)] is equivalent to x<>y in Moscow ML (because of the
absence of NaNs and Infs).
[?=(x, y)] is false in Moscow ML (because of the absence of NaNs
and Infs).
[fmt spec r] returns a string representing r, in the format
specified by spec (see below). The requested number of digits must
be >= 0 in the SCI and FIX formats and > 0 in the GEN format;
otherwise Size is raised, even in a partial application fmt(spec).
spec description C printf

SCI NONE scientific, 6 digits after point %e
SCI (SOME n) scientific, n digits after point %.ne
FIX NONE fixedpoint, 6 digits after point %f
FIX (SOME n) fixedpoint, n digits after point %.nf
GEN NONE auto choice, 12 significant digits %.12g
GEN (SOME n) auto choice, n significant digits %.ng
[toString r] returns a string representing r, with automatic choice
of format according to the magnitude of r.
Equivalent to (fmt (GEN NONE) r).
[fromString s] returns SOME(r) if a floatingpoint numeral can be
scanned from a prefix of string s, ignoring any initial whitespace;
returns NONE otherwise. The valid forms of floatingpoint numerals
are described by:
[+~]?(([09]+(\.[09]+)?)(\.[09]+))([eE][+~]?[09]+)?
[scan getc charsrc] attempts to scan a floatingpoint number from
the character source charsrc, using the accessor getc, and ignoring
any initial whitespace. If successful, it returns SOME(r, rest)
where r is the number scanned, and rest is the unused part of the
character source. The valid forms of floatingpoint numerals
are described by:
[+~]?(([09]+(\.[09]+)?)(\.[09]+))([eE][+~]?[09]+)?
*)
