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Math_Complex
PEAR Manual
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Chapter 49. Math
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Math_Complex
Table of Contents
Class Summary
Math_Complex
-- Math_Complex: class to represent an manipulate complex numbers (z = a + b*i)
constructor
Math_Complex::Math_Complex()
-- Constructor for Math_Complex
Math_Complex::abs()
-- Returns the magnitude (also referred as norm) of the number
Math_Complex::abs2()
-- Returns the square of the magnitude of the number
Math_Complex::angle()
-- Returns the angle (argument) associated with the complex number Alias of Math_Complex::arg()
Math_Complex::arg()
-- Returns the argument of the complex number
Math_Complex::getIm()
-- Returns the imaginary part of the complex number
Math_Complex::getReal()
-- Returns the real part of the complex number
Math_Complex::norm()
-- Returns the norm of the number Alias of Math_Complex::abs()
Math_Complex::toString()
-- Simple string representation of the number
Class Summary
Math_ComplexOp
-- Math_ComplexOp: static class to operate on Math_Complex objects
Math_ComplexOp::acos()
-- Calculates the inverse cosine of a complex number: z = acos(c1)
Math_ComplexOp::acosh()
-- Calculates the inverse hyperbolic cosine of a complex number: z = acosh(c1)
Math_ComplexOp::acot()
-- Calculates the inverse cotangent of a complex number: z = acot(c1)
Math_ComplexOp::acoth()
-- Calculates the inverse hyperbolic cotangent of a complex number: z = acoth(c1)
Math_ComplexOp::acsc()
-- Calculates the inverse cosecant of a complex number: z = acsc(c1)
Math_ComplexOp::acsch()
-- Calculates the inverse hyperbolic cosecant of a complex number: z = acsch(c1)
Math_ComplexOp::add()
-- Returns the sum of two complex numbers: z = c1 + c2
Math_ComplexOp::areEqual()
-- Determines if is c1 == c2:
Math_ComplexOp::asec()
-- Calculates the inverse secant of a complex number: z = asec(c1)
Math_ComplexOp::asech()
-- Calculates the inverse hyperbolic secant of a complex number: z = asech(c1)
Math_ComplexOp::asin()
-- Calculates the inverse sine of a complex number: z = asin(c1)
Math_ComplexOp::asinAlt()
-- Calculates the inverse sine of a complex number: z = asinAlt(c1) Uses an alternative algorithm
Math_ComplexOp::asinh()
-- Calculates the inverse hyperbolic sine of a complex number: z = asinh(c1)
Math_ComplexOp::asinReal()
-- Calculates the complex inverse sine of a real number: z = asinReal(r):
Math_ComplexOp::atan()
-- Calculates the inverse tangent of a complex number: z = atan(c1):
Math_ComplexOp::atanh()
-- Calculates the inverse hyperbolic tangent of a complex number: z = atanh(c1)
Math_ComplexOp::conjugate()
-- Calculates the conjugate of a complex number: z = conj(c1)
Math_ComplexOp::cos()
-- Calculates the cosine of a complex number: z = cos(c1)
Math_ComplexOp::cosh()
-- Calculates the hyperbolic cosine of a complex number: z = cosh(c1)
Math_ComplexOp::cot()
-- Calculates the cotangent of a complex number: z = cot(c1)
Math_ComplexOp::coth()
-- Calculates the hyperbolic cotangent of a complex number: z = coth(c1)
Math_ComplexOp::createFromPolar()
-- Converts a polar complex z = r*exp(theta*i) to z = a + b*i
Math_ComplexOp::csc()
-- Calculates the cosecant of a complex number: z = csc(c1)
Math_ComplexOp::csch()
-- Calculates the hyperbolic cosecant of a complex number: z = csch(c1)
Math_ComplexOp::div()
-- Returns the division of two complex numbers: z = c1 * c2
Math_ComplexOp::exp()
-- Calculates the exponential of a complex number: z = exp(c1)
Math_ComplexOp::inverse()
-- Calculates the inverse of a complex number: z = 1/c1
Math_ComplexOp::isComplex()
-- Checks if a given object is an instance of PEAR::Math_Complex
Math_ComplexOp::log()
-- Calculates the logarithm (base 2) of a complex number: z = log(c1)
Math_ComplexOp::log10()
-- Calculates the logarithm (base 10) of a complex number: z = log10(c1)
Math_ComplexOp::logBase()
-- Returns the logarithm of base c2 of the complex number c1
Math_ComplexOp::mult()
-- Returns the product of two complex numbers: z = c1 * c2
Math_ComplexOp::multIm()
-- Returns the product of a complex number and an imaginary number if: x = b + c*i, y = a*i; then: z = x * y = multIm(x, a)
Math_ComplexOp::multReal()
-- Multiplies a complex number by a real number: z = realnumber * c1
Math_ComplexOp::negative()
-- Calculates the negative of a complex number: z = -c1
Math_ComplexOp::pow()
-- Returns the complex power of two complex numbers: z = c1^c2
Math_ComplexOp::powReal()
-- Returns the exponentiation of a complex numbers to a real power: z = c1^(real)
Math_ComplexOp::sec()
-- Calculates the secant of a complex number: z = sec(c1)
Math_ComplexOp::sech()
-- Calculates the hyperbolic secant of a complex number: z = sech(c1)
Math_ComplexOp::sin()
-- Calculates the sine of a complex number: z = sin(c1)
Math_ComplexOp::sinh()
-- Calculates the hyperbolic sine of a complex number: z = sinh(c1)
Math_ComplexOp::sqrt()
-- Calculates the complex square root of a complex number: z = sqrt(c1)
Math_ComplexOp::sqrtReal()
-- Calculates the complex square root of a real number: z = sqrt(realnumber)
Math_ComplexOp::sub()
-- Returns the difference of two complex numbers: z = c1 - c2
Math_ComplexOp::tan()
-- Calculates the tangent of a complex number: z = tan(c1)
Math_ComplexOp::tanh()
-- Calculates the hyperbolic tangent of a complex number: z = tanh(c1)
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