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Math::Algebra::Symbols::Term(3) User Contributed Perl Documentation Math::Algebra::Symbols::Term(3)

Symbolic Algebra in Pure Perl: terms.

A term represents a product of: variables, coefficents, divisors, square roots, exponentials, and logs.

PhilipRBrenan@yahoo.com, 2004, Perl License. PhilipRBrenan@gmail.com, 2016, Perl License. www.appaapps.com

new

Constructor

Finalization

Sign and lock terms

constants

Useful constants

newFromString

New from String

n

Short name for "newFromString"

newFromStrings

New from Strings

gcd

Greatest Common Divisor.

lcm

Least common multiple.

isTerm

Confirm type

intCheck

Integer check

c

Coefficient

d

Divisor

timesInt

Multiply term by integer

divideInt

Divide term by integer

negate

Negate term

isZero

Zero?

notZero

Not Zero?

isOne

One?

notOne

Not One?

isMinusOne

Minus One?

notMinusOne

Not Minus One?

i

Get/Set i - sqrt(-1)

iby

i by power: multiply a term by a power of i

Divide

Get/Set divide by.

removeDivide

Remove divide

Sqrt

Get/Set square root.

removeSqrt

Remove square root.

Exp

Get/Set exp

Log

# Get/Set log

vp

Get/Set variable power.

On get: returns the power of a variable, or zero if the variable is not present in the term.

On set: Sets the power of a variable. If the power is zero, removes the variable from the term. =cut

v

Get all variables mentioned in the term. Variables to power zero should have been removed by "vp".

clone

Clone a term. The existing term must be finalized, see "z": the new term will not be finalized, allowing modifications to be made to it.

split

Split a term into its components

signature

Sign the term. Used to optimize addition. Fix the problem of adding different logs

getSignature

Get the signature of a term

add

Add two finalized terms, return result in new term or undef.

subtract

Subtract two finalized terms, return result in new term or undef.

multiply

Multiply two finalized terms, return the result in a new term or undef

divide2

Divide two finalized terms, return the result in a new term or undef

invert

Invert a term

power

Take power of term

sqrt2

Square root of a term

exp2

Exponential of a term

sin2

Sine of a term

cos2

Cosine of a term

log2

Log of a term

id

Get Id of a term

zz

# Check term finalized

z

Finalize creation of the term. Once a term has been finalized, it becomes readonly, which allows optimization to be performed.

print

Print

Export "newFromStrings" to calling package with a name specifed by the caller, or as term() by default. =cut

Operator Overloads

Operator Overloads

add3

Add operator.

negate3

Negate operator.

multiply3

Multiply operator.

divide3

Divide operator.

power3

Power operator.

equals3

Equals operator.

print3

Print operator.

sqrt3

Square root operator.

exp3

Exponential operator.

sin3

Sine operator.

cos3

Cosine operator.

log3

Log operator.

Tests
2022-04-08 perl v5.32.1

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