Exponential integral

Exponential integrals.

Procedures:

ei: Exponential integral $\mathrm{Ei}(x)$
e1: Exponential integral $\mathrm{E}_1(x)$ or $\mathrm{E}_1(z)$

References

Shanjie Zhang, Jianming Jin. 1996. Computation of Special Functions. Wiley, New York, NY. https://search.worldcat.org/title/33971114

Uses

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Graph Key

Nodes of different colours represent the following:

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Used by

Help

Graph Key

Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.
Where possible, edges connecting nodes are given different colours to make them easier to distinguish in large graphs.

Interfaces

public interface e1

Exponential integral $\mathrm{E}_1(x)$ or $\mathrm{E}_1(z)$ .

private pure function e1x(x)

Exponential integral $\mathrm{E}_1(x)$ .

$\lbrace x \in \mathbb{R} \mid x \gt 0 \rbrace$

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=wp),	intent(in)			::	x

Return Value real(kind=wp)

private pure function e1z(z)

Exponential integral $\mathrm{E}_1(z)$ .

$z \in \mathbb{C} \setminus \left( \lbrace z \in \mathbb{C} \mid \Re(z) \lt 0, \thinspace |\Im(z)| \lt 0.7 \rbrace \cup \lbrace 0 \rbrace \right)$

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=wp),	intent(in)			::	z

Return Value complex(kind=wp)

Functions

public pure function ei(x)

Exponential integral $\mathrm{Ei}(x)$ .

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=wp),	intent(in)			::	x

wildf_exponential_integral Module

Contents

Interfaces

Functions

Exponential integral

References

Uses

Used by

Interfaces

public interface e1

private pure function e1x(x)

Arguments

Return Value real(kind=wp)

private pure function e1z(z)

Arguments

Return Value complex(kind=wp)

Functions

public pure function ei(x)

Arguments

Return Value real(kind=wp)