51m_imaginary = imaginary;

55public double Imaginary { get { return m_imaginary; } } 58public double Phase { get { return Math.Atan2(m_imaginary, m_real); } } 133return new Complex(-value.m_real, -value.m_imaginary); 138return new Complex(left.m_real + right.m_real, left.m_imaginary + right.m_imaginary); 143return new Complex(left.m_real + right, left.m_imaginary); 148return new Complex(left + right.m_real, right.m_imaginary); 153return new Complex(left.m_real - right.m_real, left.m_imaginary - right.m_imaginary); 158return new Complex(left.m_real - right, left.m_imaginary); 163return new Complex(left - right.m_real, -right.m_imaginary); 169double result_realpart = (left.m_real * right.m_real) - (left.m_imaginary * right.m_imaginary); 170double result_imaginarypart = (left.m_imaginary * right.m_real) + (left.m_real * right.m_imaginary); 176Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) * right; 182Complex<double> result = left * new Complex<double>(right.m_real, right.m_imaginary); 188Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) / new Complex<double>(right.m_real, right.m_imaginary); 194Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) / right; 200Complex<double> result = left / new Complex<double>(right.m_real, right.m_imaginary); 206return double.Hypot(value.m_real, value.m_imaginary); 212return new Complex(value.m_real, -value.m_imaginary); 218if (value.m_real == 0 && value.m_imaginary == 0) 227return left.m_real == right.m_real && left.m_imaginary == right.m_imaginary; 232return left.m_real != right.m_real || left.m_imaginary != right.m_imaginary; 242return m_real.Equals(value.m_real) && m_imaginary.Equals(value.m_imaginary); 245public override int GetHashCode() => HashCode.Combine(m_real, m_imaginary); 254=> new Complex<double>(m_real, m_imaginary).ToString(format, provider); 259return new Complex(sin * Math.Cosh(value.m_imaginary), cos * Math.Sinh(value.m_imaginary)); 269Complex sin = Sin(new Complex(-value.m_imaginary, value.m_real)); 270return new Complex(sin.m_imaginary, -sin.m_real); 275Complex<double> result = Complex<double>.Asin(new Complex<double>(value.m_real, value.m_imaginary)); 282return new Complex(cos * Math.Cosh(value.m_imaginary), -sin * Math.Sinh(value.m_imaginary)); 288return Cos(new Complex(-value.m_imaginary, value.m_real)); 293Complex<double> result = Complex<double>.Acos(new Complex<double>(value.m_real, value.m_imaginary)); 299Complex<double> result = Complex<double>.Tan(new Complex<double>(value.m_real, value.m_imaginary)); 306Complex tan = Tan(new Complex(-value.m_imaginary, value.m_real)); 307return new Complex(tan.m_imaginary, -tan.m_real); 316public static bool IsFinite(Complex value) => double.IsFinite(value.m_real) && double.IsFinite(value.m_imaginary); 318public static bool IsInfinity(Complex value) => double.IsInfinity(value.m_real) || double.IsInfinity(value.m_imaginary); 324return new Complex(Math.Log(Abs(value)), Math.Atan2(value.m_imaginary, value.m_real)); 341return FromPolarCoordinates(expReal, value.m_imaginary); 346Complex<double> result = Complex<double>.Sqrt(new Complex<double>(value.m_real, value.m_imaginary)); 352Complex<double> result = Complex<double>.Pow(new Complex<double>(value.m_real, value.m_imaginary), new Complex<double>(power.m_real, power.m_imaginary)); 364double imaginaryResuilt = factor * value.m_imaginary; 603public static bool IsComplexNumber(Complex value) => (value.m_real != 0.0) && (value.m_imaginary != 0.0); 606public static bool IsEvenInteger(Complex value) => (value.m_imaginary == 0) && double.IsEvenInteger(value.m_real); 609public static bool IsImaginaryNumber(Complex value) => (value.m_real == 0.0) && double.IsRealNumber(value.m_imaginary); 612public static bool IsInteger(Complex value) => (value.m_imaginary == 0) && double.IsInteger(value.m_real); 620return (value.m_imaginary == 0.0) && double.IsNegative(value.m_real); 629return (value.m_imaginary == 0.0) && double.IsNegativeInfinity(value.m_real); 639&& ((value.m_imaginary == 0.0) || double.IsNormal(value.m_imaginary)); 643public static bool IsOddInteger(Complex value) => (value.m_imaginary == 0) && double.IsOddInteger(value.m_real); 651return (value.m_imaginary == 0.0) && double.IsPositive(value.m_real); 660return (value.m_imaginary == 0.0) && double.IsPositiveInfinity(value.m_real); 664public static bool IsRealNumber(Complex value) => (value.m_imaginary == 0.0) && double.IsRealNumber(value.m_real); 672return double.IsSubnormal(value.m_real) || double.IsSubnormal(value.m_imaginary); 676static bool INumberBase<Complex>.IsZero(Complex value) => (value.m_real == 0.0) && (value.m_imaginary == 0.0); 681Complex<double> result = Complex<double>.MaxMagnitude(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 688Complex<double> result = Complex<double>.MaxMagnitudeNumber(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 695Complex<double> result = Complex<double>.MinMagnitude(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 702Complex<double> result = Complex<double>.MinMagnitudeNumber(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 709Complex<double> result = Complex<double>.MultiplyAddEstimate(new Complex<double>(left.m_real, left.m_imaginary), new Complex<double>(right.m_real, right.m_imaginary), new Complex<double>(addend.m_real, addend.m_imaginary)); 787result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 791return Complex<double>.TryConvertToCheckedCore(new Complex<double>(value.m_real, value.m_imaginary), out result); 800result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 804return Complex<double>.TryConvertToSaturatingCore(new Complex<double>(value.m_real, value.m_imaginary), out result); 813result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 817return Complex<double>.TryConvertToTruncatingCore(new Complex<double>(value.m_real, value.m_imaginary), out result); 909? m_imaginary.TryFormat(Unsafe.BitCast<Span<TChar>, Span<byte>>(destination.Slice(2)), out int imaginaryChars, format, provider) 910: m_imaginary.TryFormat(Unsafe.BitCast<Span<TChar>, Span<char>>(destination.Slice(2)), out imaginaryChars, format, provider))