simplify: Basic Symbolic Expression Simplification

In simplr: Basic Symbolic Expression Simplification

Description

simplify simplifies sexp by applying basic algebraic simplification rules. simplifyq quotes its argument, i.e. simplifyq(X) is equivalent to simplify(quote(X)).

Usage

simplify(sexp)

simplifyq(sexp)

## S3 method for class 'call'
simplify(sexp)

## S3 method for class 'function'
simplify(sexp)

## S3 method for class 'numeric'
simplify(sexp)

## S3 method for class 'integer'
simplify(sexp)

## S3 method for class 'name'
simplify(sexp)

Arguments

sexp	An R object to simplify. See details.

Details

simplify is a S3 generic method with support for objects of class numeric, integer, name, call, and function. SimplR uses code from the Ev3 computer algebra system to implement expression simplification. The following simplification steps are performed:

• consolidate product coefficients

• distribute coefficients over sums

• convert differences to sums

• simplify constants

• simplify products

• compact linear parts

• simplify trigonometrics

Value

The simplified expression.

See Also

http://www.lix.polytechnique.fr/~liberti/Ev3.pdf

Examples

simplifyq(3*2+1)              #=> 7

simplifyq(1 * x)              #=> x
simplifyq(x / x)              #=> 1
simplifyq(x - x)              #=> 0
simplifyq(x + 1 - 1)          #=> x

simplifyq(f(x) + f(x) + y)    #=> y + 2 * f(x)
simplifyq(sin(x)^2+cos(x)^2)  #=> 1

simplify(function(a,b) a + a + 3 * f(b) * 5 / f(b))
#=> function(a, b) 15 + 2 * a

Example output

[1] 7
x
[1] 1
[1] 0
x
y + 2 * f(x)
[1] 1
function (a, b) 
15 + 2 * a

simplr documentation built on May 29, 2017, 12:22 p.m.