Data.Number.ER.Real.Arithmetic.Taylor

Taylor series related functions.

Documentation

erTaylor_R

Arguments

:: ERIntApprox ira

=> EffortIndex

-> (Int -> ira)

coefficients of the Taylor series

-> (Int -> ira)

function to estimate the n'th derivative between a and x

-> ira

centre of the Taylor Expansion

-> ira

-> ira

erTaylor_R_FullArgs

Arguments

:: ERIntApprox ira

=> (Int -> ira)

coefficients of the Taylor series

-> (Int -> ira)

function to estimate the n'th derivative between a and x

-> Int

use this many elements of the series (+ account for error appropriately)

-> ira

centre of the Taylor Expansion

-> Granularity

make all constants have this granularity, thus influencing rounding errors

-> ira

-> ira

erExp_Tay_Opt_R :: ERIntApprox ira => EffortIndex -> ira -> ira

A Taylor series for exponentiation.

erSine_Tay_Opt_R :: ERIntApprox ira => EffortIndex -> ira -> ira

A Taylor series for sine.

erCosine_Tay_Opt_R :: ERIntApprox ira => EffortIndex -> ira -> ira

A Taylor series for cosine.