Math_Complex
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Math_Complex
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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)