ref: 25e4f8ae90bd66f124f6b96ffdf70ae00100d4c0
dir: /man/1/math-misc/
.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