rat (Averest)

rat Type

Namespace: Averest.Analysis
Assembly: Averest.dll
Parent Module: Matrices
Base Type: obj
All Interfaces: IComparable

Rational numbers rat(n,d) are constructed by two integers, the nominator n and the denominator d. We interprete numbers rat(0,d) as zero (where d!=0), and rat(n,0) as infinity.

Constructors

Constructor Description

Constructor	Description
`rat(n, d)` Full Usage: `rat(n, d)` Parameters: n : `int` d : `int` Returns: `rat`	n : `int` d : `int` Returns: `rat`

Full Usage: rat(n, d)

Parameters:

n : int

d : int

Returns: rat

n : int
d : int

Returns: rat

Instance members

Instance member	Description
`this.d` Full Usage: `this.d` Returns: `int`	Returns: `int`
`this.n` Full Usage: `this.n` Returns: `int`	Returns: `int`

Static members

Static member	Description
`r1 * r2` Full Usage: `r1 * r2` Parameters: r1 : `rat` r2 : `rat` Returns: `rat`	multiplication of rational numbers r1 : `rat` r2 : `rat` Returns: `rat`
`r1 + r2` Full Usage: `r1 + r2` Parameters: r1 : `rat` r2 : `rat` Returns: `rat`	addition of rational numbers r1 : `rat` r2 : `rat` Returns: `rat`
`r1 - r2` Full Usage: `r1 - r2` Parameters: r1 : `rat` r2 : `rat` Returns: `rat`	subtraction of rational numbers r1 : `rat` r2 : `rat` Returns: `rat`
`r1 / r2` Full Usage: `r1 / r2` Parameters: r1 : `rat` r2 : `rat` Returns: `rat`	division of rational numbers r1 : `rat` r2 : `rat` Returns: `rat`
`rat.inverse r` Full Usage: `rat.inverse r` Parameters: r : `rat` Returns: `rat`	multiplicative inverse of a rational number r : `rat` Returns: `rat`
`rat.isNegInfinity r` Full Usage: `rat.isNegInfinity r` Parameters: r : `rat` Returns: `bool`	checking wether a number equals to zero r : `rat` Returns: `bool`
`rat.isNegative r` Full Usage: `rat.isNegative r` Parameters: r : `rat` Returns: `bool`	checking whether a number is negative r : `rat` Returns: `bool`
`rat.isPosInfinity r` Full Usage: `rat.isPosInfinity r` Parameters: r : `rat` Returns: `bool`	checking wether a number equals to zero r : `rat` Returns: `bool`
`rat.isPositive r` Full Usage: `rat.isPositive r` Parameters: r : `rat` Returns: `bool`	checking whether a number is positive r : `rat` Returns: `bool`
`rat.isZero r` Full Usage: `rat.isZero r` Parameters: r : `rat` Returns: `bool`	checking wether a number equals to zero r : `rat` Returns: `bool`
`rat.max (r1, r2)` Full Usage: `rat.max (r1, r2)` Parameters: r1 : `rat` r2 : `rat` Returns: `rat`	maximum of two rational numbers r1 : `rat` r2 : `rat` Returns: `rat`
`rat.min (r1, r2)` Full Usage: `rat.min (r1, r2)` Parameters: r1 : `rat` r2 : `rat` Returns: `rat`	minimum of two rational numbers r1 : `rat` r2 : `rat` Returns: `rat`
`rat.negate r` Full Usage: `rat.negate r` Parameters: r : `rat` Returns: `rat`	change sign of rational numbers r : `rat` Returns: `rat`
`rat.ofFloat x` Full Usage: `rat.ofFloat x` Parameters: x : `float` Returns: `rat`	conversion from a floating point number x : `float` Returns: `rat`
`rat.parse s` Full Usage: `rat.parse s` Parameters: s : `string` Returns: `rat`	parsing from a string s : `string` Returns: `rat`
`rat.toFloat r` Full Usage: `rat.toFloat r` Parameters: r : `rat` Returns: `double`	conversion to floating point numbers r : `rat` Returns: `double`
`rat.toLatex r` Full Usage: `rat.toLatex r` Parameters: r : `rat` Returns: `string`	converting a rational number to a Latex string r : `rat` Returns: `string`