\Complex

abs()

abs(\Complex\Complex|mixed  $complex) : float

Returns the absolute value (modulus) of a complex number.

Also known as the rho of the complex number, i.e. the distance/radius from the centrepoint to the representation of the number in polar coordinates.

This function is a synonym for rho()

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The absolute (or rho) value of the complex argument.

acos()

acos(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse cosine of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The inverse cosine of the complex argument.

acosh()

acosh(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse hyperbolic cosine of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The inverse hyperbolic cosine of the complex argument.

acot()

acot(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse cotangent of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The inverse cotangent of the complex argument.

acoth()

acoth(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse hyperbolic cotangent of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The inverse hyperbolic cotangent of the complex argument.

acsc()

acsc(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse cosecant of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The inverse cosecant of the complex argument.

acsch()

acsch(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse hyperbolic cosecant of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The inverse hyperbolic cosecant of the complex argument.

add()

add(  $complexValues) : \Complex\Complex

Adds two or more complex numbers

Parameters

Returns

argument()

argument(\Complex\Complex|mixed  $complex) : float

Returns the argument of a complex number.

Also known as the theta of the complex number, i.e. the angle in radians from the real axis to the representation of the number in polar coordinates.

This function is a synonym for theta()

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The argument (or theta) value of the complex argument.

asec()

asec(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse secant of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The inverse secant of the complex argument.

asech()

asech(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse hyperbolic secant of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The inverse hyperbolic secant of the complex argument.

asin()

asin(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse sine of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The inverse sine of the complex argument.

asinh()

asinh(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse hyperbolic sine of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The inverse hyperbolic sine of the complex argument.

atan()

atan(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse tangent of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The inverse tangent of the complex argument.

atanh()

atanh(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse hyperbolic tangent of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The inverse hyperbolic tangent of the complex argument.

conjugate()

conjugate(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the complex conjugate of a complex number

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The conjugate of the complex argument.

cos()

cos(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the cosine of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The cosine of the complex argument.

cosh()

cosh(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the hyperbolic cosine of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The hyperbolic cosine of the complex argument.

cot()

cot(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the cotangent of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The cotangent of the complex argument.

coth()

coth(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the hyperbolic cotangent of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The hyperbolic cotangent of the complex argument.

csc()

csc(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the cosecant of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The cosecant of the complex argument.

csch()

csch(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the hyperbolic cosecant of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The hyperbolic cosecant of the complex argument.

divideby()

divideby(  $complexValues) : \Complex\Complex

Divides two or more complex numbers

Parameters

Returns

divideinto()

divideinto(  $complexValues) : \Complex\Complex

Divides two or more complex numbers

Parameters

Returns

exp()

exp(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the exponential of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The exponential of the complex argument.

inverse()

inverse(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the inverse of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The inverse of the complex argument.

ln()

ln(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the natural logarithm of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If the real and the imaginary parts are both zero

Returns

The natural logarithm of the complex argument.

log10()

log10(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the common logarithm (base 10) of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If the real and the imaginary parts are both zero

Returns

The common logarithm (base 10) of the complex argument.

log2()

log2(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the base-2 logarithm of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If the real and the imaginary parts are both zero

Returns

The base-2 logarithm of the complex argument.

multiply()

multiply(  $complexValues) : \Complex\Complex

Multiplies two or more complex numbers

Parameters

Returns

negative()

negative(\Complex\Complex|mixed  $complex) : float

Returns the negative of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The negative value of the complex argument.

pow()

pow(\Complex\Complex|mixed  $complex, float|integer  $power) : \Complex\Complex

Returns a complex number raised to a power.

Parameters

Throws

\Complex\Exception

If the power argument isn't a valid real

Returns

The complex argument raised to the real power.

rho()

rho(\Complex\Complex|mixed  $complex) : float

Returns the rho of a complex number.

This is the distance/radius from the centrepoint to the representation of the number in polar coordinates.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The rho value of the complex argument.

sec()

sec(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the secant of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The secant of the complex argument.

sech()

sech(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the hyperbolic secant of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The hyperbolic secant of the complex argument.

sin()

sin(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the sine of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The sine of the complex argument.

sinh()

sinh(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the hyperbolic sine of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The hyperbolic sine of the complex argument.

sqrt()

sqrt(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the square root of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The Square root of the complex argument.

subtract()

subtract(  $complexValues) : \Complex\Complex

Subtracts two or more complex numbers

Parameters

Returns

tan()

tan(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the tangent of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The tangent of the complex argument.

tanh()

tanh(\Complex\Complex|mixed  $complex) : \Complex\Complex

Returns the hyperbolic tangent of a complex number.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

\InvalidArgumentException

If function would result in a division by zero

Returns

The hyperbolic tangent of the complex argument.

theta()

theta(\Complex\Complex|mixed  $complex) : float

Returns the theta of a complex number.

This is the angle in radians from the real axis to the representation of the number in polar coordinates.

Parameters

Throws

\Complex\Exception

If argument isn't a valid real or complex number.

Returns

The theta value of the complex argument.