# SRFI 143 - Fixnums

This SRFI describes arithmetic procedures applicable to a limited range of exact integers only. These procedures are semantically similar to the corresponding generic-arithmetic procedures, but allow more efficient implementations.

See the [SRFI document](http://srfi.schemers.org/srfi-143/srfi-143.html) for more information.

## Constants
[`fx-width`](#fx-width)
[`fx-greatest`](#fx-greatest)
[`fx-least`](#fx-least)

## Predicates
[`fixnum?`](#fixnum)
[`fx=?`](#fx)
[`fx<?`](#fx-1)
[`fx>?`](#fx-2)
[`fx<=?`](#fx-3)
[`fx>=?`](#fx-4)
[`fxzero?`](#fxzero)
[`fxpositive?`](#fxpositive)
[`fxnegative?`](#fxnegative)
[`fxodd?`](#fxodd)
[`fxeven?`](#fxeven)
[`fxmax`](#fxmax)
[`fxmin`](#fxmin)

## Basic arithmetic
[`fx+`](#fx-5)
[`fx-`](#fx-)
[`fx*`](#fx-6)
[`fxneg`](#fxneg)
[`fxquotient`](#fxquotient)
[`fxremainder`](#fxremainder)
[`fxabs`](#fxabs)
[`fxsquare`](#fxsquare)
[`fxsqrt`](#fxsqrt)

# Bitwise operations
[`fxnot`](#fxnot)
[`fxand`](#fxand)
[`fxior`](#fxior)
[`fxxor`](#fxxor)
[`fxarithmetic-shift`](#fxarithmetic-shift)
[`fxarithmetic-shift-left`](#fxarithmetic-shift-left)
[`fxarithmetic-shift-right`](#fxarithmetic-shift-right)
[`fxbit-count`](#fxbit-count)
[`fxlength`](#fxlength)
[`fxif`](#fxif)
[`fxbit-set?`](#fxbit-set)
[`fxcopy-bit`](#fxcopy-bit)
[`fxfirst-set-bit`](#fxfirst-set-bit)
[`fxbit-field`](#fxbit-field)
[`fxbit-field-rotate`](#fxbit-field-rotate)
[`fxbit-field-reverse`](#fxbit-field-reverse)

# fx-width 

    (fx-width)

Bound to the value `w` that specifies the implementation-defined fixnum integer range.

# fx-greatest 

    (fx-greatest)

Returns value of the largest representable fixnum.

# fx-least

    (fx-least)

Returns value of the smallest representable fixnum.

# fixnum?

    (fixnum? obj)

Returns `#t` if `obj` is an exact integer within the fixnum range, and `#f` otherwise.

# fx=? 

    (fx=? i j)

Semantically equivalent to `=`.

# fx<? 

# fx>? 

# fx<=? 

# fx>=?

# fxzero? 

# fxpositive? 

# fxnegative? 

# fxodd? 

# fxeven?

# fxmax 

# fxmin

# fx+ 

# fx- 

# fx*

# fxneg

# fxquotient 

# fxremainder

# fxabs 

# fxsquare 

# fxsqrt 

# fxnot 

# fxand 

# fxior 

# fxxor 

# fxarithmetic-shift 

# fxarithmetic-shift-left 

# fxarithmetic-shift-right

# fxbit-count 

# fxlength 

# fxif 

# fxbit-set? 

# fxcopy-bit

# fxfirst-set-bit 

# fxbit-field

# fxbit-field-rotate 

# fxbit-field-reverse