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.TH MATH-MISC 1
.SH NAME
ack, crackerbarrel, factor, fibonacci, fit, genprimes, mersenne, parts, perms, pi, powers, primes, sieve \- miscellaneous mathematical applications
.SH SYNOPSIS
.B math/ack
[
.IR m
]
[
.IR n
]
.br
.B math/crackerbarrel
[
.IR n
]
.br
.B math/factor
[
.IR n
]
.br
.B math/fibonacci
.br
.B math/fit
[
.BI -d deg
]
[
.B -v
]
[
.IR file
]
.br
.B math/genprimes
[
.IR lim
]
.br
.B math/mersenne
[
.IR num
]
.br
.B math/parts
[
.B -a
]
[
.IR num ...
]
.br
.B math/perms
[
.IR n
]
.br
.B math/pi
[
.IR dp
]
.br
.B math/powers
[
.B -p num
]
[
.B -n num
]
[
.B -f num
]
[
.B -l num
]
[
.B -m num
]
[
.B -v
]
.br
.B math/primes
[
.IR m
]
[
.IR n
]
.br
.B math/sieve
[
.B -a alg
]
[
.IR lim
]
.SH DESCRIPTION
A collection of simple mathematical utilities.
.PP
.TP
.B math/ack
Calculates and times Ackermann's function A(m, n).
.TP
.B math/crackerbarrel
Solves the crackerbarrel puzzle
.B n
times and outputs the time taken. See the source for details of the puzzle.
.TP
.B math/factor
Factors the number n.
.TP
.B math/fibonacci
Generates the first few terms of the Fibonacci series using recursion
and user defined exceptions.
.TP
.B math/fit
Fits a polynomial of degree
.I deg
to a set of points (x, y) where x is the independent variable, y the dependent one.
All x and y values should be seperated by white space
and can be real or integer. The values are read from
.IR file
or standard input if none is given. The
.B -v
option prints a table of actual and expected y values.
.TP
.B math/genprimes
Generates primes numbers up to and including
.B lim
using spawned processes and buffered channels.
.TP
.B math/mersenne
Tests the primality of the Mersenne numbers ie numbers of the form 2^n-1.
The argument
.IR num
is the power of 2 in the above.
.TP
.B math/parts
Calculates the number of partitions of the given number(s). The
.B -a
option will print out a table of the number of partitions of all numbers up to the
given number(s).
.TP
.B math/perms
Prints out all permutations of
.B n
elements.
.TP
.B math/pi
Calculates the value of pi to
.B dp
decimal places.
.TP
.B math/powers
Investigates the number of representations of an integer as a sum of
powers.
The
.B -p
option denotes the power of use (default 2). The
.B -n
option denotes the number of powers to sum (default 2). The
.B -f
option denotes the minimum number of such representations found before
reporting them (default 2). The
.B -l
and
.B -m
options denote the smallest and largest numbers to consider respectively (defaults 0 and 8192). Finally the
.B -v
option prints various statistics during the search.
.TP
.B math/primes
Prints out all primes between
.B m
and
.B n .
.TP
.B math/sieve
Prints out prime numbers up to
.B lim
using a sieve algorithm. The
.B -a
option indicates the level of sophistication of the algorithm (0-4).
.PP
.SH EXAMPLE
.EX
math/powers -p 3 -m 30000
gives
[2] 1729 = 1**3 + 12**3 = 9**3 + 10**3
[2] 4104 = 2**3 + 16**3 = 9**3 + 15**3
[2] 20683 = 10**3 + 27**3 = 19**3 + 24**3
The number of representations found for each integer is indicated in
square brackets.
.EE
.SH SOURCE
.B /appl/math/ack.b
.br
.B /appl/math/crackerbarrel.b
.br
.B /appl/math/factor.b
.br
.B /appl/math/fibonacci.b
.br
.B /appl/math/fit.b
.br
.B /appl/math/genprimes.b
.br
.B /appl/math/mersenne.b
.br
.B /appl/math/parts.b
.br
.B /appl/math/perms.b
.br
.B /appl/math/pi.b
.br
.B /appl/math/powers.b
.br
.B /appl/math/primes.b
.br
.B /appl/math/sieve.b
|
