private static Expression ComplexConstant(Complex64 value) {
if (value.Real != 0.0) {
if (value.Imag != 0.0) {
return Expression.Call(
typeof(Complex64).GetMethod("Make"),
Expression.Constant(value.Real),
Expression.Constant(value.Imag)
);
} else {
return Expression.Call(
typeof(Complex64).GetMethod("MakeReal"),
Expression.Constant(value.Real)
);
}
} else {
return Expression.Call(
typeof(Complex64).GetMethod("MakeImaginary"),
Expression.Constant(value.Imag)
);
}
}
public static Complex64 Atan(Complex64 z)
{
return(i / 2 * Log((i + z) / (i - z)));
}
public static Complex64 Divide(Complex64 x, Complex64 y) {
return x / y;
}
public static Complex64 Pow(this Complex64 self, Complex64 power) {
return self.Power(power);
}
public static Complex64 Atan(Complex64 z)
{
return i/2 * Log((i + z)/(i - z));
}
public static Complex64 Pow(Complex64 baseNumber, Complex64 index)
{
return Exp(index * Log(baseNumber));
}
public static Complex64 Tan(Complex64 z)
{
return Sin(z) / Cos(z);
}
public static bool LessThan(Complex x, Complex y)
{
throw PythonOps.TypeError("complex is not an ordered type");
}
public static bool GreaterThanOrEqual(Complex x, Complex y)
{
throw PythonOps.TypeError("complex is not an ordered type");
}
public static int __int__(Complex self)
{
throw PythonOps.TypeError(" can't convert complex to int; use int(abs(z))");
}
public static BigInteger __long__(Complex self)
{
throw PythonOps.TypeError("can't convert complex to long; use long(abs(z))");
}
// report the same errors as CPython for these invalid conversions
public static double __float__(Complex self)
{
throw PythonOps.TypeError("can't convert complex to float; use abs(z)");
}
public static string __repr__(CodeContext /*!*/ context, Complex x)
{
return(__str__(context, x));
}
public static Complex64 Atanh(Complex64 z)
{
throw new NotImplementedException();
}
public static Complex64 Multiply(Complex64 x, Complex64 y)
{
return(x * y);
}
public static object __new__(
CodeContext context,
PythonType cls,
[DefaultParameterValue(null)] object real,
[DefaultParameterValue(null)] object imag
)
{
Complex real2, imag2;
real2 = imag2 = new Complex();
if (real == null && imag == null && cls == TypeCache.Complex)
{
throw PythonOps.TypeError("argument must be a string or a number");
}
if (imag != null)
{
if (real is string)
{
throw PythonOps.TypeError("complex() can't take second arg if first is a string");
}
if (imag is string)
{
throw PythonOps.TypeError("complex() second arg can't be a string");
}
imag2 = Converter.ConvertToComplex(imag);
}
if (real != null)
{
if (real is string)
{
real2 = LiteralParser.ParseComplex((string)real);
}
else if (real is Extensible <string> )
{
real2 = LiteralParser.ParseComplex(((Extensible <string>)real).Value);
}
else if (real is Complex)
{
if (imag == null && cls == TypeCache.Complex)
{
return(real);
}
else
{
real2 = (Complex)real;
}
}
else
{
real2 = Converter.ConvertToComplex(real);
}
}
double real3 = real2.Real - imag2.Imaginary();
double imag3 = real2.Imaginary() + imag2.Real;
if (cls == TypeCache.Complex)
{
return(new Complex(real3, imag3));
}
else
{
return(cls.CreateInstance(context, real3, imag3));
}
}
public static Complex64 Negate(Complex64 x)
{
return(-x);
}
public static Complex64 Asin(Complex64 z)
{
if (z.imag == 0 && z.real < 0)
{
return -Asin(new Complex64(-z.real, 0));
}
if (z.imag > 0)
{
return -Asin(-z);
}
return -i * Log(z * i + Sqrt(1 - (z * z)));
}
public static Complex64 Cos(Complex64 z)
{
Complex64 z1 = Exp(new Complex64(-z.imag, z.real));
Complex64 z2 = Exp(new Complex64(z.imag, -z.real));
return new Complex64(0.5 * (z1.real + z2.real), 0.5 * (z1.imag + z2.imag));
}
public static Complex64 Pow(Complex64 baseNumber, Complex64 index)
{
if (baseNumber == 0)
{
// this is really non-sensical, but the behavior is defined in the spec, so try follow it at least.
if (index == 0)
{
return 1;
}
return 0;
}
return Exp(index * Log(baseNumber));
}
public static Complex64 Exp(Complex64 z)
{
double value = System.Math.Exp(z.real);
return new Complex64(
value * System.Math.Cos(z.imag),
value * System.Math.Sin(z.imag));
}
private void WriteComplex(Complex val)
{
_bytes.Add((byte)'x');
WriteDoubleString(val.Real);
WriteDoubleString(val.Imaginary());
}
public static Complex64 Acos(Complex64 z)
{
return -i * Log(z + i * Sqrt(1 - Pow(z, 2)));
}
public static double Getreal(Complex self)
{
return(self.Real);
}
private void WriteComplex (Complex val) {
_bytes.Add ((byte)'x');
WriteDoubleString (val.Real);
WriteDoubleString (val.Imaginary ());
}
public static double Getimag(Complex self)
{
return(self.Imaginary());
}
public static Complex64 Subtract(Complex64 x, Complex64 y) {
return x - y;
}
public static Complex Add(Complex x, Complex y)
{
return(x + y);
}
public static Complex64 Plus(Complex64 x) {
return +x;
}
public static Complex Subtract(Complex x, Complex y)
{
return(x - y);
}
public static Complex64 Subtract(Complex64 x, Complex64 y)
{
return(x - y);
}
public static Complex Multiply(Complex x, Complex y)
{
return(x * y);
}
public static Complex64 Divide(Complex64 x, Complex64 y)
{
return(x / y);
}
public static Complex TrueDivide(Complex x, Complex y)
{
return(Divide(x, y));
}
public static Complex64 Plus(Complex64 x)
{
return(+x);
}
public static Complex Power(Complex x, Complex y)
{
return(op_Power(x, y));
}
public static Complex64 Mod(Complex64 x, Complex64 y) {
return x % y;
}
public static Complex Mod(CodeContext context, Complex x, Complex y)
{
Complex quotient = FloorDivide(context, x, y);
return(x - (quotient * y));
}
public static Complex64 Sinh(Complex64 z)
{
Complex64 z1 = Exp(z);
Complex64 z2 = Exp(new Complex64(-z.real, -z.imag));
return new Complex64(0.5 * (z1.real - z2.real), 0.5 * (z1.imag - z2.imag));
}
public static PythonTuple DivMod(CodeContext context, Complex x, Complex y)
{
Complex quotient = FloorDivide(context, x, y);
return(PythonTuple.MakeTuple(quotient, x - (quotient * y)));
}
public static Complex64 Tanh(Complex64 z)
{
return Sinh(z) / Cosh(z);
}
public static bool __nonzero__(Complex x)
{
return(!x.IsZero());
}
public static Complex64 Log(Complex64 z)
{
return new Complex64(System.Math.Log(z.Modulus), z.Argument);
}
public static Complex conjugate(Complex x)
{
return(x.Conjugate());
}
public static Complex64 Sqrt(Complex64 z)
{
return Polar(System.Math.Sqrt(z.Modulus), z.Argument / 2);
}
public static object __pos__(Complex x)
{
return(x);
}
public static Complex64 Asin(Complex64 z)
{
return -i * Log(z * i + Sqrt(1 - Pow(z, 2)));
}
private static bool IsInfinity(Complex64 num) {
return double.IsInfinity(num.Real) || double.IsInfinity(num.Imag);
}
public static Complex64 Atanh(Complex64 z)
{
throw new NotImplementedException();
}
private static bool IsNaN(Complex64 num) {
return double.IsNaN(num.Real) || double.IsNaN(num.Imag);
}
StoreTyped(Complex64 value)
{
IntPtr ptr = this.allocator.Alloc((uint)Marshal.SizeOf(typeof(PyComplexObject)));
CPyMarshal.WriteIntField(ptr, typeof(PyComplexObject), "ob_refcnt", 1);
CPyMarshal.WritePtrField(ptr, typeof(PyComplexObject), "ob_type", this.PyComplex_Type);
IntPtr cpxptr = CPyMarshal.GetField(ptr, typeof(PyComplexObject), "cval");
CPyMarshal.WriteDoubleField(cpxptr, typeof(Py_complex), "real", value.Real);
CPyMarshal.WriteDoubleField(cpxptr, typeof(Py_complex), "imag", value.Imag);
this.map.Associate(ptr, value);
return ptr;
}
private static double GetImag(Complex64 num) {
return num.Imag;
}
public static Complex64 Add(Complex64 x, Complex64 y) {
return x + y;
}
private static double GetAngle(Complex64 num) {
if (IsNaN(num)) {
return double.NaN;
}
if (double.IsPositiveInfinity(num.Real)) {
if (double.IsPositiveInfinity(num.Imag)) {
return Math.PI * 0.25;
} else if (double.IsNegativeInfinity(num.Imag)) {
return Math.PI * -0.25;
} else {
return 0.0;
}
}
if (double.IsNegativeInfinity(num.Real)) {
if (double.IsPositiveInfinity(num.Imag)) {
return Math.PI * 0.75;
} else if (double.IsNegativeInfinity(num.Imag)) {
return Math.PI * -0.75;
} else {
return DoubleOps.Sign(num.Imag) * Math.PI;
}
}
if (num.Real == 0.0) {
if (num.Imag != 0.0) {
return Math.PI * 0.5 * Math.Sign(num.Imag);
} else {
return (DoubleOps.IsPositiveZero(num.Real) ? 0.0 : Math.PI) * DoubleOps.Sign(GetImag(num));
}
}
return Math.Atan2(num.Imag, num.Real);
}
public static Complex64 Multiply(Complex64 x, Complex64 y) {
return x * y;
}
public static Complex64 Mod(Complex64 x, Complex64 y)
{
return(x % y);
}
public static Complex64 Negate(Complex64 x) {
return -x;
}
public static Complex64 Add(Complex64 x, Complex64 y)
{
return(x + y);
}
public Complex64 Power(Complex64 y) {
double c = y.real;
double d = y.imag;
int power = (int)c;
if (power == c && power >= 0 && d == .0) {
Complex64 result = One;
if (power == 0) return result;
Complex64 factor = this;
while (power != 0) {
if ((power & 1) != 0) {
result = result * factor;
}
factor = factor * factor;
power >>= 1;
}
return result;
} else if (IsZero) {
return y.IsZero ? One : Zero;
} else {
double a = real;
double b = imag;
double powers = a * a + b * b;
double arg = System.Math.Atan2(b, a);
double mul = System.Math.Pow(powers, c / 2) * System.Math.Exp(-d * arg);
double common = c * arg + .5 * d * System.Math.Log(powers);
return new Complex64(mul * System.Math.Cos(common), mul * System.Math.Sin(common));
}
}
public static Complex64 Sqrt(Complex64 z)
{
return(Polar(System.Math.Sqrt(z.Modulus), z.Argument / 2));
}