#include <stddef.h>
#include <math.h>
#include <limits.h>
#include <float.h>
#include <stdbool.h>
#include <stdint.h>

Data Structures
struct	brahe_statistics_t
	Structure containing statistical values calculate from a double array. More...

struct	brahe_wave_factor_t
	Sine wave definition. More...

Macros
#define	BRAHE_E 2.71828182845904523536028747135
	e (natural logarithm base More...

#define	BRAHE_LOG2_E 1.44269504088896340735992468100
	log_2 (e) More...

#define	BRAHE_LOG10_E 0.43429448190325182765112891892
	log_10 (e) More...

#define	BRAHE_SQRT_2 1.41421356237309504880168872421
	sqrt(2) More...

#define	BRAHE_SQRT_HALF 0.70710678118654752440084436210
	sqrt(1/2) More...

#define	BRAHE_SQRT_3 1.73205080756887729352744634151
	sqrt(3) More...

#define	BRAHE_PI 3.14159265358979323846264338328
	pi (180 deg) More...

#define	BRAHE_TAU 6.28318530717958647692528676656
	tau (2 * pi) More...

#define	BRAHE_PI_DIV_2 1.57079632679489661923132169164
	pi/2 (90 deg) More...

#define	BRAHE_PI_DIV_3 1.04719755119659774615421446109
	pi/3 (60 deg) More...

#define	BRAHE_PI_DIV_4 0.78539816339744830961566084582
	pi/4 (45 deg) More...

#define	BRAHE_PI_DIV_6 0.52359877559829887307710723055
	pi/6 (30 deg) More...

#define	BRAHE_PI_DIV_9 0.34906585039886591538473815370
	pi/9 (20 deg) More...

#define	BRAHE_PI_DIV_12 0.26179938779914943653855361527
	pi / 12 (15 deg) More...

#define	BRAHE_PI_DIV_18 0.17453292519943295769236907685
	pi / 18 (10 deg) More...

#define	BRAHE_PI_DIV_36 0.08726646259971647884618453842
	pi / 36 (5 deg) More...

#define	BRAHE_DEG_PER_RAD 57.2957795130823208767981548141
	degrees per radian More...

#define	BRAHE_RAD_PER_DEG 0.01745329251994329576923690768
	radians per degree More...

#define	BRAHE_SQRT_PI 1.77245385090551602729816748334
	sqrt(pi) More...

#define	BRAHE_TWO_DIV_SQRT_PI 1.12837916709551257389615890312
	2/sqrt(pi) More...

#define	BRAHE_ONE_DIV_PI 0.31830988618379067153776752675
	1/pi More...

#define	BRAHE_TWO_DIV_PI 0.63661977236758134307553505349
	2/pi More...

#define	BRAHE_LN_10 2.30258509299404568401799145468
	ln(10) More...

#define	BRAHE_LN_2 0.69314718055994530941723212146
	ln(2) More...

#define	BRAHE_LOG_2 0.30102999566398119521373889472
	log(2) More...

#define	BRAHE_LN_PI 1.14472988584940017414342735135
	ln(pi) More...

#define	BRAHE_EULER 0.57721566490153286060651209008
	Euler constant. More...

Typedefs
typedef enum brahe_pretty_format_t	brahe_pretty_format
	Formats for pretty-printing integers. More...

typedef struct brahe_statistics_t	brahe_statistics
	Structure containing statistical values calculate from a double array. More...

Enumerations
enum	brahe_pretty_format_t { BRAHE_PRETTY_TEXT , BRAHE_PRETTY_COMMA }
	Formats for pretty-printing integers. More...

Functions
double	brahe_round_nearest (const double x)
	Round to nearest value. More...

double	brahe_sigdig (const double x, const uint16_t n)
	Set number of significant digits in a floating-point value. More...

uint64_t	brahe_lcm (const uint64_t x, const uint64_t y)
	Lowest common multiple. More...

uint64_t	brahe_gcf (uint64_t x, uint64_t y)
	Greatest common factor (denominator) More...

double	brahe_log2base (const double x, const double base)
	Logarithm to a specified base. More...

int	brahe_sizepow2 (const int n)
	Smallest power of 2 that includes a given value. More...

char *	brahe_pretty_int (int64_t n, brahe_pretty_format fmt)
	Turn a 64-bit integer into a pretty string. More...

brahe_statistics	brahe_get_statistics (double *data, size_t n)
	statistics for array of double More...

double *	brahe_moving_average (const double *data, const int n, const int distance)
	Moving average. More...

double *	brahe_simple_fft (const double *data, const int n)
	Simple real-to-real fft (arbitrary length) More...

double *	brahe_simple_fft2 (const double *data, const int n)
	Simple real-to-real fft (power of 2 length) More...

double *	brahe_make_sinusoid (const brahe_wave_factor_t *factors, const size_t factor_n, const size_t array_n)
	Sine wave based artificial signal generator. More...

void	brahe_add_noise (double *a, const size_t n, double noise)
	Apply noise to a signal. More...

double	brahe_asinh (const double x)
	Hyperbolic arcsine. More...

double	brahe_acosh (const double x)
	Hyperbolic arccosine. More...

double	brahe_atanh (const double x)
	Hyperbolic arctangent. More...

Macro Definition Documentation

◆ BRAHE_DEG_PER_RAD

#define BRAHE_DEG_PER_RAD 57.2957795130823208767981548141

◆ BRAHE_E

#define BRAHE_E 2.71828182845904523536028747135

◆ BRAHE_EULER

#define BRAHE_EULER 0.57721566490153286060651209008

◆ BRAHE_LN_10

#define BRAHE_LN_10 2.30258509299404568401799145468

◆ BRAHE_LN_2

#define BRAHE_LN_2 0.69314718055994530941723212146

◆ BRAHE_LN_PI

#define BRAHE_LN_PI 1.14472988584940017414342735135

◆ BRAHE_LOG10_E

#define BRAHE_LOG10_E 0.43429448190325182765112891892

◆ BRAHE_LOG2_E

#define BRAHE_LOG2_E 1.44269504088896340735992468100

◆ BRAHE_LOG_2

#define BRAHE_LOG_2 0.30102999566398119521373889472

◆ BRAHE_ONE_DIV_PI

#define BRAHE_ONE_DIV_PI 0.31830988618379067153776752675

◆ BRAHE_PI

#define BRAHE_PI 3.14159265358979323846264338328

◆ BRAHE_PI_DIV_12

#define BRAHE_PI_DIV_12 0.26179938779914943653855361527

◆ BRAHE_PI_DIV_18

#define BRAHE_PI_DIV_18 0.17453292519943295769236907685

◆ BRAHE_PI_DIV_2

#define BRAHE_PI_DIV_2 1.57079632679489661923132169164

◆ BRAHE_PI_DIV_3

#define BRAHE_PI_DIV_3 1.04719755119659774615421446109

◆ BRAHE_PI_DIV_36

#define BRAHE_PI_DIV_36 0.08726646259971647884618453842

◆ BRAHE_PI_DIV_4

#define BRAHE_PI_DIV_4 0.78539816339744830961566084582

◆ BRAHE_PI_DIV_6

#define BRAHE_PI_DIV_6 0.52359877559829887307710723055

◆ BRAHE_PI_DIV_9

#define BRAHE_PI_DIV_9 0.34906585039886591538473815370

◆ BRAHE_RAD_PER_DEG

#define BRAHE_RAD_PER_DEG 0.01745329251994329576923690768

◆ BRAHE_SQRT_2

#define BRAHE_SQRT_2 1.41421356237309504880168872421

◆ BRAHE_SQRT_3

#define BRAHE_SQRT_3 1.73205080756887729352744634151

◆ BRAHE_SQRT_HALF

#define BRAHE_SQRT_HALF 0.70710678118654752440084436210

◆ BRAHE_SQRT_PI

#define BRAHE_SQRT_PI 1.77245385090551602729816748334

◆ BRAHE_TAU

#define BRAHE_TAU 6.28318530717958647692528676656

◆ BRAHE_TWO_DIV_PI

#define BRAHE_TWO_DIV_PI 0.63661977236758134307553505349

◆ BRAHE_TWO_DIV_SQRT_PI

#define BRAHE_TWO_DIV_SQRT_PI 1.12837916709551257389615890312

Typedef Documentation

◆ brahe_pretty_format

typedef enum brahe_pretty_format_t brahe_pretty_format

◆ brahe_statistics

typedef struct brahe_statistics_t brahe_statistics

Enumeration Type Documentation

◆ brahe_pretty_format_t

enum brahe_pretty_format_t

Enumerator
BRAHE_PRETTY_TEXT	english text (nine thousand, two hundred eleven)
BRAHE_PRETTY_COMMA	comma delimited, (1,234,567,890)

Function Documentation

◆ brahe_acosh()

double brahe_acosh ( const double x )

Calculates cosh^-1.

Parameters

x a value

Returns: inverse hyperbolic cosine of x

◆ brahe_add_noise()

void brahe_add_noise	(	double *	a,
		const size_t	n,
		double	noise
	)

Adds a percentage of noise to a signal. If "noise" is set to 0.1 (for example) each value will be adjust to between 90% and 110% of its original value. This function changes the existing values in the array.

Parameters

a	array containing signal data
n	number of samples in signal
noise	percentage of noise

◆ brahe_asinh()

double brahe_asinh ( const double x )

Calculates sinh^-1.

Parameters

x a value

Returns: inverse hyperbolic sine of x

◆ brahe_atanh()

double brahe_atanh ( const double x )

Calculates tanh^-1.

Parameters

x a value

Returns: inverse hyperbolic tangent of x

◆ brahe_gcf()

uint64_t brahe_gcf	(	uint64_t	x,
		uint64_t	y
	)

Calculates the greatest common factor for two values.

Parameters

x	first value
y	second value

Returns: The greatest common factor for x and y

◆ brahe_get_statistics()

brahe_statistics brahe_get_statistics	(	double *	data,
		size_t	n
	)

Calculate several common statistics for an array of doubles.

Parameters

data	array of double values
n	number of elements in data

Returns: statistics for data

◆ brahe_lcm()

uint64_t brahe_lcm	(	const uint64_t	x,
		const uint64_t	y
	)

Calculates the lowest common multiple for two values.

Parameters

x	first value
y	second value

Returns: The lowest common multiple for x and y

◆ brahe_log2base()

double brahe_log2base	(	const double	x,
		const double	base
	)

Calculates the base-n logarithm for a given value. If a range error occurs, the return value equals NaN.

Parameters

x	value for which logarithm is required
base	lagarithm base

Returns: logarithm of x to base base; NAN on range error

◆ brahe_make_sinusoid()

double * brahe_make_sinusoid	(	const brahe_wave_factor_t *	factors,
		const size_t	factor_n,
		const size_t	array_n
	)

Generates an array of doubles by combining sine waves. The primary purpose is to produce an artificial signal with known properties, for testing signal analysis applications. The caller is responsible for freeing the memory used by the array returned by this function.

Parameters

factors	defines properties of the sine waves to be combined
factor_n	number of elements in factors
array_n	number of elements in the output array

Returns: an allocated array containg values generated from the given factors

◆ brahe_moving_average()

double * brahe_moving_average	(	const double *	data,
		const int	n,
		const int	distance
	)

Computes the moving average for an array. The returned buffer must be freed by the calling code.

Parameters

data	array of double values to be averaged
n	number of elements in data
distance	number elements to average before and after an element in data

Returns: an allocated n-length array containing the moving average of corresponding elements in data

◆ brahe_pretty_int()

char * brahe_pretty_int	(	int64_t	n,
		brahe_pretty_format	fmt
	)

Returns a nicely formatted strong for a given 64-bit integer.

Parameters

n	number to be formatted
fmt	specifies format, as text or comma-delimited

Returns: an allocated string containing the generated text

◆ brahe_round_nearest()

double brahe_round_nearest ( const double x )

Rounds a value to nearest integer, rounding to even for exact fractions of 0.5.

◆ brahe_sigdig()

double brahe_sigdig	(	const double	x,
		const uint16_t	n
	)

Returns the given value rounded for the number of specified decimal digits of precision.

Parameters

x	- Original value to be rounded
n	- Number of significant digits

Returns: The value x rounded to n digits of precision

◆ brahe_simple_fft()

double * brahe_simple_fft	(	const double *	data,
		const int	n
	)

A simple real-to-real FFT for arbitrary-length data. This is not intended to replace dedicated libraries such as FFTW. The caller is responsible for freeing the memory used by the array returned by this function. /param data input array /param n length of data /return an allocated array containing the real FFT of data

◆ brahe_simple_fft2()

double * brahe_simple_fft2	(	const double *	data,
		const int	n
	)

A simple real-to-real FFT for power of 2-length data. This is not intended to replace dedicated libraries such as FFTW. The caller is responsible for freeing the memory used by the array returned by this function. /param data input array /param n length of data /return an allocated array containing the real FFT of data

◆ brahe_sizepow2()

int brahe_sizepow2 ( const int n )

Returns the smallest power of 2 that includes n in its range

Parameters

n	number that must be less than the result

Returns: the lowest power of 2 that is greater than n, or

Brahe - a heterogenous collection of mathematical tools

Main Index Home Page

Data Structures

Macros

Typedefs

Enumerations

Functions

Macro Definition Documentation

◆ BRAHE_DEG_PER_RAD

◆ BRAHE_E

◆ BRAHE_EULER

◆ BRAHE_LN_10

◆ BRAHE_LN_2

◆ BRAHE_LN_PI

◆ BRAHE_LOG10_E

◆ BRAHE_LOG2_E

◆ BRAHE_LOG_2

◆ BRAHE_ONE_DIV_PI

◆ BRAHE_PI

◆ BRAHE_PI_DIV_12

◆ BRAHE_PI_DIV_18

◆ BRAHE_PI_DIV_2

◆ BRAHE_PI_DIV_3

◆ BRAHE_PI_DIV_36

◆ BRAHE_PI_DIV_4

◆ BRAHE_PI_DIV_6

◆ BRAHE_PI_DIV_9

◆ BRAHE_RAD_PER_DEG

◆ BRAHE_SQRT_2

◆ BRAHE_SQRT_3

◆ BRAHE_SQRT_HALF

◆ BRAHE_SQRT_PI

◆ BRAHE_TAU

◆ BRAHE_TWO_DIV_PI

◆ BRAHE_TWO_DIV_SQRT_PI

Typedef Documentation

◆ brahe_pretty_format

◆ brahe_statistics

Enumeration Type Documentation

◆ brahe_pretty_format_t

Function Documentation

◆ brahe_acosh()

◆ brahe_add_noise()

◆ brahe_asinh()

◆ brahe_atanh()

◆ brahe_gcf()

◆ brahe_get_statistics()

◆ brahe_lcm()

◆ brahe_log2base()

◆ brahe_make_sinusoid()

◆ brahe_moving_average()

◆ brahe_pretty_int()

◆ brahe_round_nearest()

◆ brahe_sigdig()

◆ brahe_simple_fft()

◆ brahe_simple_fft2()

◆ brahe_sizepow2()

Main Index
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