#include <math.h>
#include <assert.h>
#include "consts.h"
#include "real.h"

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Functions
nr_double_t	round (const nr_double_t arg)

nr_double_t	trunc (const double arg)

nr_double_t	acosh (const double arg)

nr_double_t	asinh (const double arg)

unsigned int	factorial (unsigned int n)
	Compute factorial n ie $n!$.

nr_double_t	real (const nr_double_t r)
	Real part of real number.

nr_double_t	imag (const nr_double_t r)
	Imaginary part of complex number.

nr_double_t	norm (const nr_double_t r)
	Compute euclidian norm of real number.

nr_double_t	abs (const nr_double_t r)
	Compute complex modulus of real number.

nr_double_t	conj (const nr_double_t r)
	Conjugate of real number.

nr_double_t	limexp (const nr_double_t r)
	Compute limited exponential.

nr_double_t	signum (const nr_double_t d)
	real signum function

nr_double_t	sign (const nr_double_t d)
	real sign function

nr_double_t	xhypot (const nr_double_t a, const nr_double_t b)
	Euclidean distance function.

nr_double_t	sinc (const nr_double_t d)
	Real cardinal sinus.

nr_double_t	fix (const nr_double_t d)
	Fix function.

nr_double_t	step (const nr_double_t d)
	Heaviside step function.

Function Documentation

nr_double_t abs ( const nr_double_t r )

Compute complex modulus of real number.

Parameters

[in] r Real number

Returns: Modulus of r

Todo:: Why not inline

Definition at line 115 of file real.cpp.

nr_double_t acosh ( const double arg )

Definition at line 48 of file real.cpp.

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nr_double_t asinh ( const double arg )

Definition at line 54 of file real.cpp.

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nr_double_t conj ( const nr_double_t r )

Conjugate of real number.

Parameters

[in] r Real number

Returns: Conjugate of real r ie r

Todo:: Why not inline?

Definition at line 125 of file real.cpp.

unsigned int factorial ( unsigned int n )

Compute factorial n ie $n!$.

Definition at line 63 of file real.cpp.

nr_double_t fix ( const nr_double_t d )

Fix function.

Fix is nearest integral value in direction of 0,

$\operatorname{fix} d=\begin{cases} \operatorname{floor} d & \text{if } d > 0 \\ \operatorname{ceil} d & \text{else} \end{cases}$

Parameters

[in] d real number

Returns: fixed complex number

Todo:: Why not inline?

Definition at line 238 of file real.cpp.

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nr_double_t imag ( const nr_double_t r )

Imaginary part of complex number.

Parameters

[in] r Real number

Returns: Imaginary part of r

Todo:: Why not inline?

Definition at line 94 of file real.cpp.

nr_double_t limexp ( const nr_double_t r )

Compute limited exponential.

Compute limited exponential:

$\begin{cases} \exp r & \text{if } r < \text{M\_LIMEXP} \\ \exp (\text{M\_LIMEXP})\left[1.0 + (r - \text{M\_LIMEXP})\right] & \text{else} \end{cases}$

M_LIMEXP is a constant

Parameters

[in] r real number

Returns: limited exponential of r

Todo:

Change limexp(real) limexp(complex) file order

Document M_LIMEXP

Definition at line 146 of file real.cpp.

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nr_double_t norm ( const nr_double_t r )

Compute euclidian norm of real number.

Compute $r^2$

Parameters

[in] r Real number

Returns: Euclidian norm of r

Todo:: Why not inline

Definition at line 105 of file real.cpp.

nr_double_t real ( const nr_double_t r )

Real part of real number.

Parameters

[in] r Real number

Returns: Real part of r ie r

Todo:: Why not inline?

Definition at line 84 of file real.cpp.

nr_double_t round ( const nr_double_t arg )

Definition at line 36 of file real.cpp.

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nr_double_t sign ( const nr_double_t d )

real sign function

compute

$\mathrm{sign}\;d= = \begin{cases} 1 & \text{if } d\ge 0 \\ -1 & \text{if } d<0 \end{cases}$

Parameters

[in] d real number

Returns: sign of d

Todo:: Move near complex sign

Definition at line 182 of file real.cpp.

nr_double_t signum ( const nr_double_t d )

real signum function

compute

$\mathrm{signum}\;d= = \begin{cases} O & \text{if } d=0 \\ 1 & \text{if } d>0 \\ -1 & \text{if } d<0 \end{cases}$

Parameters

[in] d real number

Returns: signum of d

Todo:: Move near complex signum

Definition at line 164 of file real.cpp.

nr_double_t sinc ( const nr_double_t d )

Real cardinal sinus.

Compute $\mathrm{sinc}\;d=\frac{\sin d}{d}$

Parameters

[in] d real number

Returns: cardianal sinus of s

Todo:: Why not inline

Definition at line 219 of file real.cpp.

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nr_double_t step ( const nr_double_t d )

Heaviside step function.

The Heaviside step function, H, also called unit step function, is a discontinuous function whose value is zero for negative argument and one for positive argument. For zero by convention, H(0)=0.5

Parameters

[in] d Heaviside argument

Returns: Heaviside step

Todo:: Create Heaviside alias

Definition at line 251 of file real.cpp.

nr_double_t trunc ( const double arg )

Definition at line 42 of file real.cpp.

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nr_double_t xhypot	(	const nr_double_t	a,
		const nr_double_t	b
	)

Euclidean distance function.

The xhypot() function returns $\sqrt{a^2+b^2}$ . This is the length of the hypotenuse of a right-angle triangle with sides of length a and b, or the distance of the point (a,b) from the origin.

Parameters

[in]	a	first length
[in]	b	second length

Returns: Euclidean distance from (0,0) to (a,b): $\sqrt{a^2+b^2}$

Definition at line 197 of file real.cpp.

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Functions

Function Documentation