functions.h File Reference

Function overloads (sin, exp, etc) for Expression's. More...

#include <myramath/MYRAMATH_EXPORT.h>
#include <myramath/utility/Number.h>

Include dependency graph for functions.h:

Go to the source code of this file.

Classes
class	myra::Expression< Arity, Number >
	Given an index (i,j,etc), returns a value. More...

Functions
Expression< 1, NumberS >	myra::sin (const Expression< 1, NumberS > &A)
	Returns the std::sin() of an Expression.
Expression< 1, NumberD >	myra::sin (const Expression< 1, NumberD > &A)
	Returns the std::sin() of an Expression.
Expression< 1, NumberC >	myra::sin (const Expression< 1, NumberC > &A)
	Returns the std::sin() of an Expression.
Expression< 1, NumberZ >	myra::sin (const Expression< 1, NumberZ > &A)
	Returns the std::sin() of an Expression.
Expression< 2, NumberS >	myra::sin (const Expression< 2, NumberS > &A)
	Returns the std::sin() of an Expression.
Expression< 2, NumberD >	myra::sin (const Expression< 2, NumberD > &A)
	Returns the std::sin() of an Expression.
Expression< 2, NumberC >	myra::sin (const Expression< 2, NumberC > &A)
	Returns the std::sin() of an Expression.
Expression< 2, NumberZ >	myra::sin (const Expression< 2, NumberZ > &A)
	Returns the std::sin() of an Expression.
Expression< 1, NumberS >	myra::cos (const Expression< 1, NumberS > &A)
	Returns the std::cos() of an Expression.
Expression< 1, NumberD >	myra::cos (const Expression< 1, NumberD > &A)
	Returns the std::cos() of an Expression.
Expression< 1, NumberC >	myra::cos (const Expression< 1, NumberC > &A)
	Returns the std::cos() of an Expression.
Expression< 1, NumberZ >	myra::cos (const Expression< 1, NumberZ > &A)
	Returns the std::cos() of an Expression.
Expression< 2, NumberS >	myra::cos (const Expression< 2, NumberS > &A)
	Returns the std::cos() of an Expression.
Expression< 2, NumberD >	myra::cos (const Expression< 2, NumberD > &A)
	Returns the std::cos() of an Expression.
Expression< 2, NumberC >	myra::cos (const Expression< 2, NumberC > &A)
	Returns the std::cos() of an Expression.
Expression< 2, NumberZ >	myra::cos (const Expression< 2, NumberZ > &A)
	Returns the std::cos() of an Expression.
Expression< 1, NumberS >	myra::tan (const Expression< 1, NumberS > &A)
	Returns the std::tan() of an Expression.
Expression< 1, NumberD >	myra::tan (const Expression< 1, NumberD > &A)
	Returns the std::tan() of an Expression.
Expression< 1, NumberC >	myra::tan (const Expression< 1, NumberC > &A)
	Returns the std::tan() of an Expression.
Expression< 1, NumberZ >	myra::tan (const Expression< 1, NumberZ > &A)
	Returns the std::tan() of an Expression.
Expression< 2, NumberS >	myra::tan (const Expression< 2, NumberS > &A)
	Returns the std::tan() of an Expression.
Expression< 2, NumberD >	myra::tan (const Expression< 2, NumberD > &A)
	Returns the std::tan() of an Expression.
Expression< 2, NumberC >	myra::tan (const Expression< 2, NumberC > &A)
	Returns the std::tan() of an Expression.
Expression< 2, NumberZ >	myra::tan (const Expression< 2, NumberZ > &A)
	Returns the std::tan() of an Expression.
Expression< 1, NumberS >	myra::asin (const Expression< 1, NumberS > &A)
	Returns the std::asin() of an Expression.
Expression< 1, NumberD >	myra::asin (const Expression< 1, NumberD > &A)
	Returns the std::asin() of an Expression.
Expression< 1, NumberC >	myra::asin (const Expression< 1, NumberC > &A)
	Returns the std::asin() of an Expression.
Expression< 1, NumberZ >	myra::asin (const Expression< 1, NumberZ > &A)
	Returns the std::asin() of an Expression.
Expression< 2, NumberS >	myra::asin (const Expression< 2, NumberS > &A)
	Returns the std::asin() of an Expression.
Expression< 2, NumberD >	myra::asin (const Expression< 2, NumberD > &A)
	Returns the std::asin() of an Expression.
Expression< 2, NumberC >	myra::asin (const Expression< 2, NumberC > &A)
	Returns the std::asin() of an Expression.
Expression< 2, NumberZ >	myra::asin (const Expression< 2, NumberZ > &A)
	Returns the std::asin() of an Expression.
Expression< 1, NumberS >	myra::acos (const Expression< 1, NumberS > &A)
	Returns the std::acos() of an Expression.
Expression< 1, NumberD >	myra::acos (const Expression< 1, NumberD > &A)
	Returns the std::acos() of an Expression.
Expression< 1, NumberC >	myra::acos (const Expression< 1, NumberC > &A)
	Returns the std::acos() of an Expression.
Expression< 1, NumberZ >	myra::acos (const Expression< 1, NumberZ > &A)
	Returns the std::acos() of an Expression.
Expression< 2, NumberS >	myra::acos (const Expression< 2, NumberS > &A)
	Returns the std::acos() of an Expression.
Expression< 2, NumberD >	myra::acos (const Expression< 2, NumberD > &A)
	Returns the std::acos() of an Expression.
Expression< 2, NumberC >	myra::acos (const Expression< 2, NumberC > &A)
	Returns the std::acos() of an Expression.
Expression< 2, NumberZ >	myra::acos (const Expression< 2, NumberZ > &A)
	Returns the std::acos() of an Expression.
Expression< 1, NumberS >	myra::atan (const Expression< 1, NumberS > &A)
	Returns the std::atan() of an Expression.
Expression< 1, NumberD >	myra::atan (const Expression< 1, NumberD > &A)
	Returns the std::atan() of an Expression.
Expression< 1, NumberC >	myra::atan (const Expression< 1, NumberC > &A)
	Returns the std::atan() of an Expression.
Expression< 1, NumberZ >	myra::atan (const Expression< 1, NumberZ > &A)
	Returns the std::atan() of an Expression.
Expression< 2, NumberS >	myra::atan (const Expression< 2, NumberS > &A)
	Returns the std::atan() of an Expression.
Expression< 2, NumberD >	myra::atan (const Expression< 2, NumberD > &A)
	Returns the std::atan() of an Expression.
Expression< 2, NumberC >	myra::atan (const Expression< 2, NumberC > &A)
	Returns the std::atan() of an Expression.
Expression< 2, NumberZ >	myra::atan (const Expression< 2, NumberZ > &A)
	Returns the std::atan() of an Expression.
Expression< 1, NumberS >	myra::atan2 (const Expression< 1, NumberS > &Y, const Expression< 1, NumberS > &X)
	Returns the std::atan2(y,x) of a real Expression.
Expression< 1, NumberD >	myra::atan2 (const Expression< 1, NumberD > &Y, const Expression< 1, NumberD > &X)
	Returns the std::atan2(y,x) of a real Expression.
Expression< 2, NumberS >	myra::atan2 (const Expression< 2, NumberS > &Y, const Expression< 2, NumberS > &X)
	Returns the std::atan2(y,x) of a real Expression.
Expression< 2, NumberD >	myra::atan2 (const Expression< 2, NumberD > &Y, const Expression< 2, NumberD > &X)
	Returns the std::atan2(y,x) of a real Expression.
Expression< 1, NumberS >	myra::exp (const Expression< 1, NumberS > &A)
	Returns the std::exp() of an Expression.
Expression< 1, NumberD >	myra::exp (const Expression< 1, NumberD > &A)
	Returns the std::exp() of an Expression.
Expression< 1, NumberC >	myra::exp (const Expression< 1, NumberC > &A)
	Returns the std::exp() of an Expression.
Expression< 1, NumberZ >	myra::exp (const Expression< 1, NumberZ > &A)
	Returns the std::exp() of an Expression.
Expression< 2, NumberS >	myra::exp (const Expression< 2, NumberS > &A)
	Returns the std::exp() of an Expression.
Expression< 2, NumberD >	myra::exp (const Expression< 2, NumberD > &A)
	Returns the std::exp() of an Expression.
Expression< 2, NumberC >	myra::exp (const Expression< 2, NumberC > &A)
	Returns the std::exp() of an Expression.
Expression< 2, NumberZ >	myra::exp (const Expression< 2, NumberZ > &A)
	Returns the std::exp() of an Expression.
Expression< 1, NumberS >	myra::log (const Expression< 1, NumberS > &A)
	Returns the std::log() of an Expression.
Expression< 1, NumberD >	myra::log (const Expression< 1, NumberD > &A)
	Returns the std::log() of an Expression.
Expression< 1, NumberC >	myra::log (const Expression< 1, NumberC > &A)
	Returns the std::log() of an Expression.
Expression< 1, NumberZ >	myra::log (const Expression< 1, NumberZ > &A)
	Returns the std::log() of an Expression.
Expression< 2, NumberS >	myra::log (const Expression< 2, NumberS > &A)
	Returns the std::log() of an Expression.
Expression< 2, NumberD >	myra::log (const Expression< 2, NumberD > &A)
	Returns the std::log() of an Expression.
Expression< 2, NumberC >	myra::log (const Expression< 2, NumberC > &A)
	Returns the std::log() of an Expression.
Expression< 2, NumberZ >	myra::log (const Expression< 2, NumberZ > &A)
	Returns the std::log() of an Expression.
Expression< 1, NumberS >	myra::log10 (const Expression< 1, NumberS > &A)
	Returns the std::log10() of an Expression.
Expression< 1, NumberD >	myra::log10 (const Expression< 1, NumberD > &A)
	Returns the std::log10() of an Expression.
Expression< 1, NumberC >	myra::log10 (const Expression< 1, NumberC > &A)
	Returns the std::log10() of an Expression.
Expression< 1, NumberZ >	myra::log10 (const Expression< 1, NumberZ > &A)
	Returns the std::log10() of an Expression.
Expression< 2, NumberS >	myra::log10 (const Expression< 2, NumberS > &A)
	Returns the std::log10() of an Expression.
Expression< 2, NumberD >	myra::log10 (const Expression< 2, NumberD > &A)
	Returns the std::log10() of an Expression.
Expression< 2, NumberC >	myra::log10 (const Expression< 2, NumberC > &A)
	Returns the std::log10() of an Expression.
Expression< 2, NumberZ >	myra::log10 (const Expression< 2, NumberZ > &A)
	Returns the std::log10() of an Expression.
Expression< 1, NumberS >	myra::sqrt (const Expression< 1, NumberS > &A)
	Returns the std::sqrt() of an Expression.
Expression< 1, NumberD >	myra::sqrt (const Expression< 1, NumberD > &A)
	Returns the std::sqrt() of an Expression.
Expression< 1, NumberC >	myra::sqrt (const Expression< 1, NumberC > &A)
	Returns the std::sqrt() of an Expression.
Expression< 1, NumberZ >	myra::sqrt (const Expression< 1, NumberZ > &A)
	Returns the std::sqrt() of an Expression.
Expression< 2, NumberS >	myra::sqrt (const Expression< 2, NumberS > &A)
	Returns the std::sqrt() of an Expression.
Expression< 2, NumberD >	myra::sqrt (const Expression< 2, NumberD > &A)
	Returns the std::sqrt() of an Expression.
Expression< 2, NumberC >	myra::sqrt (const Expression< 2, NumberC > &A)
	Returns the std::sqrt() of an Expression.
Expression< 2, NumberZ >	myra::sqrt (const Expression< 2, NumberZ > &A)
	Returns the std::sqrt() of an Expression.
Expression< 1, NumberS >	myra::pow (const Expression< 1, NumberS > &A, const Expression< 1, NumberS > &B)
	Returns A^B, an Expression base raised to an Expression power.
Expression< 1, NumberD >	myra::pow (const Expression< 1, NumberD > &A, const Expression< 1, NumberD > &B)
	Returns A^B, an Expression base raised to an Expression power.
Expression< 1, NumberC >	myra::pow (const Expression< 1, NumberC > &A, const Expression< 1, NumberC > &B)
	Returns A^B, an Expression base raised to an Expression power.
Expression< 1, NumberZ >	myra::pow (const Expression< 1, NumberZ > &A, const Expression< 1, NumberZ > &B)
	Returns A^B, an Expression base raised to an Expression power.
Expression< 2, NumberS >	myra::pow (const Expression< 2, NumberS > &A, const Expression< 2, NumberS > &B)
	Returns A^B, an Expression base raised to an Expression power.
Expression< 2, NumberD >	myra::pow (const Expression< 2, NumberD > &A, const Expression< 2, NumberD > &B)
	Returns A^B, an Expression base raised to an Expression power.
Expression< 2, NumberC >	myra::pow (const Expression< 2, NumberC > &A, const Expression< 2, NumberC > &B)
	Returns A^B, an Expression base raised to an Expression power.
Expression< 2, NumberZ >	myra::pow (const Expression< 2, NumberZ > &A, const Expression< 2, NumberZ > &B)
	Returns A^B, an Expression base raised to an Expression power.
Expression< 1, NumberS >	myra::pow (const Expression< 1, NumberS > &A, NumberS b)
	Returns A^b, an Expression base raised to a constant power.
Expression< 1, NumberD >	myra::pow (const Expression< 1, NumberD > &A, NumberD b)
	Returns A^b, an Expression base raised to a constant power.
Expression< 1, NumberC >	myra::pow (const Expression< 1, NumberC > &A, NumberC b)
	Returns A^b, an Expression base raised to a constant power.
Expression< 1, NumberZ >	myra::pow (const Expression< 1, NumberZ > &A, NumberZ b)
	Returns A^b, an Expression base raised to a constant power.
Expression< 2, NumberS >	myra::pow (const Expression< 2, NumberS > &A, NumberS b)
	Returns A^b, an Expression base raised to a constant power.
Expression< 2, NumberD >	myra::pow (const Expression< 2, NumberD > &A, NumberD b)
	Returns A^b, an Expression base raised to a constant power.
Expression< 2, NumberC >	myra::pow (const Expression< 2, NumberC > &A, NumberC b)
	Returns A^b, an Expression base raised to a constant power.
Expression< 2, NumberZ >	myra::pow (const Expression< 2, NumberZ > &A, NumberZ b)
	Returns A^b, an Expression base raised to a constant power.
Expression< 1, NumberS >	myra::pow (NumberS a, const Expression< 1, NumberS > &B)
	Returns a^B, a constant base raised to an Expression power.
Expression< 1, NumberD >	myra::pow (NumberD a, const Expression< 1, NumberD > &B)
	Returns a^B, a constant base raised to an Expression power.
Expression< 1, NumberC >	myra::pow (NumberC a, const Expression< 1, NumberC > &B)
	Returns a^B, a constant base raised to an Expression power.
Expression< 1, NumberZ >	myra::pow (NumberZ a, const Expression< 1, NumberZ > &B)
	Returns a^B, a constant base raised to an Expression power.
Expression< 2, NumberS >	myra::pow (NumberS a, const Expression< 2, NumberS > &B)
	Returns a^B, a constant base raised to an Expression power.
Expression< 2, NumberD >	myra::pow (NumberD a, const Expression< 2, NumberD > &B)
	Returns a^B, a constant base raised to an Expression power.
Expression< 2, NumberC >	myra::pow (NumberC a, const Expression< 2, NumberC > &B)
	Returns a^B, a constant base raised to an Expression power.
Expression< 2, NumberZ >	myra::pow (NumberZ a, const Expression< 2, NumberZ > &B)
	Returns a^B, a constant base raised to an Expression power.
Expression< 1, NumberS >	myra::conjugate (const Expression< 1, NumberS > &A)
	Returns the conjugate an Expression. More...
Expression< 1, NumberD >	myra::conjugate (const Expression< 1, NumberD > &A)
	Returns the conjugate an Expression. More...
Expression< 1, NumberC >	myra::conjugate (const Expression< 1, NumberC > &A)
	Returns the conjugate an Expression. More...
Expression< 1, NumberZ >	myra::conjugate (const Expression< 1, NumberZ > &A)
	Returns the conjugate an Expression. More...
Expression< 2, NumberS >	myra::conjugate (const Expression< 2, NumberS > &A)
	Returns the conjugate an Expression. More...
Expression< 2, NumberD >	myra::conjugate (const Expression< 2, NumberD > &A)
	Returns the conjugate an Expression. More...
Expression< 2, NumberC >	myra::conjugate (const Expression< 2, NumberC > &A)
	Returns the conjugate an Expression. More...
Expression< 2, NumberZ >	myra::conjugate (const Expression< 2, NumberZ > &A)
	Returns the conjugate an Expression. More...
Expression< 1, NumberS >	myra::argument (const Expression< 1, NumberC > &A)
	Returns the argument (polar angle, in radians) of a complex Expression.
Expression< 1, NumberD >	myra::argument (const Expression< 1, NumberZ > &A)
	Returns the argument (polar angle, in radians) of a complex Expression.
Expression< 2, NumberS >	myra::argument (const Expression< 2, NumberC > &A)
	Returns the argument (polar angle, in radians) of a complex Expression.
Expression< 2, NumberD >	myra::argument (const Expression< 2, NumberZ > &A)
	Returns the argument (polar angle, in radians) of a complex Expression.
Expression< 1, NumberS >	myra::realpart (const Expression< 1, NumberC > &A)
	Returns the real part of a complex Expression.
Expression< 1, NumberD >	myra::realpart (const Expression< 1, NumberZ > &A)
	Returns the real part of a complex Expression.
Expression< 2, NumberS >	myra::realpart (const Expression< 2, NumberC > &A)
	Returns the real part of a complex Expression.
Expression< 2, NumberD >	myra::realpart (const Expression< 2, NumberZ > &A)
	Returns the real part of a complex Expression.
Expression< 1, NumberS >	myra::imagpart (const Expression< 1, NumberC > &A)
	Returns the imaginary part of a complex Expression.
Expression< 1, NumberD >	myra::imagpart (const Expression< 1, NumberZ > &A)
	Returns the imaginary part of a complex Expression.
Expression< 2, NumberS >	myra::imagpart (const Expression< 2, NumberC > &A)
	Returns the imaginary part of a complex Expression.
Expression< 2, NumberD >	myra::imagpart (const Expression< 2, NumberZ > &A)
	Returns the imaginary part of a complex Expression.
Expression< 1, NumberC >	myra::make_complex (const Expression< 1, NumberS > &A)
	Promotes a real Expression into a complex one.
Expression< 1, NumberZ >	myra::make_complex (const Expression< 1, NumberD > &A)
	Promotes a real Expression into a complex one.
Expression< 2, NumberC >	myra::make_complex (const Expression< 2, NumberS > &A)
	Promotes a real Expression into a complex one.
Expression< 2, NumberZ >	myra::make_complex (const Expression< 2, NumberD > &A)
	Promotes a real Expression into a complex one.
Expression< 1, NumberC >	myra::make_complex (const Expression< 1, NumberS > &R, const Expression< 1, NumberS > &I)
	Builds a complex Expression from real/imaginary parts.
Expression< 1, NumberZ >	myra::make_complex (const Expression< 1, NumberD > &R, const Expression< 1, NumberD > &I)
	Builds a complex Expression from real/imaginary parts.
Expression< 2, NumberC >	myra::make_complex (const Expression< 2, NumberS > &R, const Expression< 2, NumberS > &I)
	Builds a complex Expression from real/imaginary parts.
Expression< 2, NumberZ >	myra::make_complex (const Expression< 2, NumberD > &R, const Expression< 2, NumberD > &I)
	Builds a complex Expression from real/imaginary parts.
Expression< 1, NumberS >	myra::abs (const Expression< 1, NumberS > &A)
	Returns the std::abs() of an Expression.
Expression< 1, NumberD >	myra::abs (const Expression< 1, NumberD > &A)
	Returns the std::abs() of an Expression.
Expression< 1, NumberS >	myra::abs (const Expression< 1, NumberC > &A)
	Returns the std::abs() of an Expression.
Expression< 1, NumberD >	myra::abs (const Expression< 1, NumberZ > &A)
	Returns the std::abs() of an Expression.
Expression< 2, NumberS >	myra::abs (const Expression< 2, NumberS > &A)
	Returns the std::abs() of an Expression.
Expression< 2, NumberD >	myra::abs (const Expression< 2, NumberD > &A)
	Returns the std::abs() of an Expression.
Expression< 2, NumberS >	myra::abs (const Expression< 2, NumberC > &A)
	Returns the std::abs() of an Expression.
Expression< 2, NumberD >	myra::abs (const Expression< 2, NumberZ > &A)
	Returns the std::abs() of an Expression.
Expression< 1, NumberS >	myra::min (const Expression< 1, NumberS > &A, const Expression< 1, NumberS > &B)
	Returns the smaller of two real Expression's, min(A(i),B(i))
Expression< 1, NumberD >	myra::min (const Expression< 1, NumberD > &A, const Expression< 1, NumberD > &B)
	Returns the smaller of two real Expression's, min(A(i),B(i))
Expression< 2, NumberS >	myra::min (const Expression< 2, NumberS > &A, const Expression< 2, NumberS > &B)
	Returns the smaller of two real Expression's, min(A(i),B(i))
Expression< 2, NumberD >	myra::min (const Expression< 2, NumberD > &A, const Expression< 2, NumberD > &B)
	Returns the smaller of two real Expression's, min(A(i),B(i))
Expression< 1, NumberS >	myra::max (const Expression< 1, NumberS > &A, const Expression< 1, NumberS > &B)
	Returns the larger of two real Expression's, max(A(i),B(i))
Expression< 1, NumberD >	myra::max (const Expression< 1, NumberD > &A, const Expression< 1, NumberD > &B)
	Returns the larger of two real Expression's, max(A(i),B(i))
Expression< 2, NumberS >	myra::max (const Expression< 2, NumberS > &A, const Expression< 2, NumberS > &B)
	Returns the larger of two real Expression's, max(A(i),B(i))
Expression< 2, NumberD >	myra::max (const Expression< 2, NumberD > &A, const Expression< 2, NumberD > &B)
	Returns the larger of two real Expression's, max(A(i),B(i))
Expression< 1, NumberD >	myra::raise_precision (const Expression< 1, NumberS > &A)
	Raises the precision of an Expression.
Expression< 1, NumberZ >	myra::raise_precision (const Expression< 1, NumberC > &A)
	Raises the precision of an Expression.
Expression< 2, NumberD >	myra::raise_precision (const Expression< 2, NumberS > &A)
	Raises the precision of an Expression.
Expression< 2, NumberZ >	myra::raise_precision (const Expression< 2, NumberC > &A)
	Raises the precision of an Expression.
Expression< 1, NumberS >	myra::lower_precision (const Expression< 1, NumberD > &A)
	Lowers the precision of an Expression.
Expression< 1, NumberC >	myra::lower_precision (const Expression< 1, NumberZ > &A)
	Lowers the precision of an Expression.
Expression< 2, NumberS >	myra::lower_precision (const Expression< 2, NumberD > &A)
	Lowers the precision of an Expression.
Expression< 2, NumberC >	myra::lower_precision (const Expression< 2, NumberZ > &A)
	Lowers the precision of an Expression.

Detailed Description

Function overloads (sin, exp, etc) for Expression's.

Function Documentation

conjugate() [1/8]

Expression< 1, NumberS > myra::conjugate

(

const Expression< 1, NumberS > &

A

)

Returns the conjugate an Expression.

Returns the conjugate of an Expression.

conjugate() [2/8]

Expression< 1, NumberD > myra::conjugate

(

const Expression< 1, NumberD > &

A

)

Returns the conjugate an Expression.

Returns the conjugate of an Expression.

conjugate() [3/8]

Expression< 1, NumberC > myra::conjugate

(

const Expression< 1, NumberC > &

A

)

Returns the conjugate an Expression.

Returns the conjugate of an Expression.

conjugate() [4/8]

Expression< 1, NumberZ > myra::conjugate

(

const Expression< 1, NumberZ > &

A

)

Returns the conjugate an Expression.

Returns the conjugate of an Expression.

conjugate() [5/8]

Expression< 2, NumberS > myra::conjugate

(

const Expression< 2, NumberS > &

A

)

Returns the conjugate an Expression.

Returns the conjugate of an Expression.

conjugate() [6/8]

Expression< 2, NumberD > myra::conjugate

(

const Expression< 2, NumberD > &

A

)

Returns the conjugate an Expression.

Returns the conjugate of an Expression.

conjugate() [7/8]

Expression< 2, NumberC > myra::conjugate

(

const Expression< 2, NumberC > &

A

)

Returns the conjugate an Expression.

Returns the conjugate of an Expression.

conjugate() [8/8]

Expression< 2, NumberZ > myra::conjugate

(

const Expression< 2, NumberZ > &

A

)

Returns the conjugate an Expression.

Returns the conjugate of an Expression.