Common Mathematical Functions

Wrappers for functions from <cmath>. More...

Collaboration diagram for Common Mathematical Functions:

Namespaces
	funcy::mathop
	Mathematical operations and corresponding differentation rules.

Classes
struct	funcy::ACos
	Arc cosine function (based on acos(double) in <cmath>). More...
struct	funcy::ASin
	Arc sine function (based on asin(double) in <cmath>). More...
struct	funcy::CumulativeNormalDistribution
	Cumulative standard normal distribution. More...
struct	funcy::Cos
	Cosine function (based on cos(double) in <cmath>). More...
struct	funcy::Erf
	Error function. More...
struct	funcy::Exp
	Exponential function. More...
struct	funcy::Exp2
	Function \(2^x\). More...
struct	funcy::LN
	Natural logarithm. More...
struct	funcy::Log10
	Common (base 10) logarithm. More...
struct	funcy::Log2
	Base 2 logarithm. More...
struct	funcy::Pow< dividend, divisor >
	Power function with rational exponent \( k = \frac{dividend}{divisor} \) including first three derivatives. More...
struct	funcy::Sin
	Sine function (based on sin(double) in <cmath>). More...
struct	funcy::Tan
	Tangent function. More...

Typedefs
using	funcy::Sqrt = Pow< 1, 2 >
	Square root (based on sqrt(double) in <cmath>).
using	funcy::Cbrt = Pow< 1, 3 >
	Third root (based on sqrt(double) in <cmath>).
using	funcy::Cbrt2 = Pow< 2, 3 >
	Third root squared (based on sqrt(double) in <cmath>).

Functions
template<Function F>
auto	funcy::acos (const F &f)
	Generate \( \arccos\circ f \). More...
template<Function F>
auto	funcy::asin (const F &f)
	Generate \( \arcsin\circ f \). More...
template<Function F>
auto	funcy::cnd (const F &f)
	Generate \( \mathrm{cnd}\circ f \). More...
template<Function F>
auto	funcy::cos (const F &f)
	Generate \( \cos\circ f \). More...
template<Function F>
auto	funcy::erf (const F &f)
	Generate \( \mathrm{erf}\circ f \). More...
template<Function F>
auto	funcy::exp (const F &f)
	Generate \( \exp(f) \). More...
template<Function F>
auto	funcy::exp2 (const F &f)
	Generate \(2^f\). More...
auto	funcy::ln (double x)
template<Function F>
auto	funcy::ln (const F &f)
	Generate \( \mathrm{ln}\circ f \). More...
template<Function F>
auto	funcy::log10 (const F &f)
	Generate \( \mathrm{log}_{10}\circ f \). More...
template<Function F>
auto	funcy::log2 (const F &f)
	Generate \( \mathrm{log}_{2}\circ f \). More...
template<Function F>
auto	funcy::sqrt (const F &f)
	Generate \( \sqrt{f} \). More...
template<Function F>
auto	funcy::cbrt (const F &f)
	Generate \( \sqrt[3]{f} \). More...
template<Function F>
auto	funcy::cbrt2 (const F &f)
	Generate \( \sqrt[3]{f^2}\). More...
template<int k, int l, Function F>
auto	funcy::pow (const F &f)
	Generate \( f^{k/l}\). More...
template<int k, Function F>
auto	funcy::pow (const F &f)
	Generate \( f^k,\ k \in \mathbb{N}\). More...
template<Function F>
auto	funcy::sin (const F &f)
	Generate \( \sin\circ f \). More...
template<Function F>
auto	funcy::tan (const F &f)
	Generate \( \tan\circ f \). More...
template<Function F, Function G>
decltype(auto)	funcy::max (F &&f, G &&g)
template<Function F, Function G>
decltype(auto)	funcy::min (F &&f, G &&g)

Detailed Description

Wrappers for functions from <cmath>.

Function Documentation

acos()

template<Function F>

auto funcy::acos

(

const F &

f

)

Generate \( \arccos\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<ACos,F>

asin()

template<Function F>

auto funcy::asin

(

const F &

f

)

Generate \( \arcsin\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<ASin,Function>

cbrt()

template<Function F>

auto funcy::cbrt

(

const F &

f

)

Generate \( \sqrt[3]{f} \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Cbrt,Function>

cbrt2()

template<Function F>

auto funcy::cbrt2

(

const F &

f

)

Generate \( \sqrt[3]{f^2}\).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Cbrt2,Function>

cnd()

template<Function F>

auto funcy::cnd

(

const F &

f

)

Generate \( \mathrm{cnd}\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<CumulativeNormalDistribution,Function>

cos()

template<Function F>

auto funcy::cos

(

const F &

f

)

Generate \( \cos\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Cos,Function>

erf()

template<Function F>

auto funcy::erf

(

const F &

f

)

Generate \( \mathrm{erf}\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type MathematicalOperations::Chain<Erf,Function>

exp()

template<Function F>

auto funcy::exp

(

const F &

f

)

Generate \( \exp(f) \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Exp,Function>

exp2()

template<Function F>

auto funcy::exp2

(

const F &

f

)

Generate \(2^f\).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Exp2,Function>

ln()

template<Function F>

auto funcy::ln

(

const F &

f

)

Generate \( \mathrm{ln}\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Log,Function>

log10()

template<Function F>

auto funcy::log10

(

const F &

f

)

Generate \( \mathrm{log}_{10}\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Log10,Function>

log2()

template<Function F>

auto funcy::log2

(

const F &

f

)

Generate \( \mathrm{log}_{2}\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Log2,Function>

pow() [1/2]

template<int k, int l, Function F>

auto funcy::pow

(

const F &

f

)

Generate \( f^{k/l}\).

Parameters

f	function mapping into a scalar space

Template Parameters

k	dividend
l	divisor

Returns

object of type mathop::Chain< Pow<dividend,divisor> , Function >

pow() [2/2]

template<int k, Function F>

auto funcy::pow

(

const F &

f

)

Generate \( f^k,\ k \in \mathbb{N}\).

Parameters

f	function mapping into a scalar space

Template Parameters

k

exponent

Returns

object of type mathop::Chain< Pow<dividend,divisor> , Function >

sin()

template<Function F>

auto funcy::sin

(

const F &

f

)

Generate \( \sin\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Sin,Function>

sqrt()

template<Function F>

auto funcy::sqrt

(

const F &

f

)

Generate \( \sqrt{f} \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Sqrt,Function>

tan()

template<Function F>

auto funcy::tan

(

const F &

f

)

Generate \( \tan\circ f \).

Parameters

f	function mapping into a scalar space

Returns

object of type mathop::Chain<Tan,Function>