Example #1
0
  @ExposedMethod(doc = BuiltinDocs.float___format___doc)
  final PyObject float___format__(PyObject formatSpec) {

    // Parse the specification
    Spec spec = InternalFormat.fromText(formatSpec, "__format__");

    // Get a formatter for the specification
    FloatFormatter f = prepareFormatter(spec);

    if (f != null) {
      // Bytes mode if formatSpec argument is not unicode.
      f.setBytes(!(formatSpec instanceof PyUnicode));
      // Convert as per specification.
      f.format(value);
      // Return a result that has the same type (str or unicode) as the formatSpec argument.
      return f.pad().getPyResult();

    } else {
      // The type code was not recognised in prepareFormatter
      throw Formatter.unknownFormat(spec.type, "float");
    }
  }
Example #2
0
/** A builtin python float. */
@Untraversable
@ExposedType(name = "float", doc = BuiltinDocs.float_doc)
public class PyFloat extends PyObject {

  public static final PyType TYPE = PyType.fromClass(PyFloat.class);

  /** Format specification used by repr(). */
  static final Spec SPEC_REPR = InternalFormat.fromText(" >r");
  /** Format specification used by str(). */
  static final Spec SPEC_STR = Spec.NUMERIC;
  /** Constant float(0). */
  static final PyFloat ZERO = new PyFloat(0.0);
  /** Constant float(1). */
  static final PyFloat ONE = new PyFloat(1.0);
  /** Constant float("nan"). */
  static final PyFloat NAN = new PyFloat(Double.NaN);

  private final double value;

  public double getValue() {
    return value;
  }

  public PyFloat(PyType subtype, double v) {
    super(subtype);
    value = v;
  }

  public PyFloat(double v) {
    this(TYPE, v);
  }

  public PyFloat(float v) {
    this((double) v);
  }

  @ExposedNew
  public static PyObject float_new(
      PyNewWrapper new_, boolean init, PyType subtype, PyObject[] args, String[] keywords) {
    ArgParser ap = new ArgParser("float", args, keywords, new String[] {"x"}, 0);
    PyObject x = ap.getPyObject(0, null);
    if (x == null) {
      if (new_.for_type == subtype) {
        return ZERO;
      } else {
        return new PyFloatDerived(subtype, 0.0);
      }
    } else {
      PyFloat floatObject = null;
      try {
        floatObject = x.__float__();
      } catch (PyException e) {
        if (e.match(Py.AttributeError)) {
          // Translate AttributeError to TypeError
          // XXX: We are using the same message as CPython, even if
          // it is not strictly correct (instances of types
          // that implement the __float__ method are also
          // valid arguments)
          throw Py.TypeError("float() argument must be a string or a number");
        }
        throw e;
      }
      if (new_.for_type == subtype) {
        return floatObject;
      } else {
        return new PyFloatDerived(subtype, floatObject.getValue());
      }
    }
  }

  @ExposedGet(name = "real", doc = BuiltinDocs.float_real_doc)
  public PyObject getReal() {
    return float___float__();
  }

  @ExposedGet(name = "imag", doc = BuiltinDocs.float_imag_doc)
  public PyObject getImag() {
    return ZERO;
  }

  @ExposedClassMethod(doc = BuiltinDocs.float_fromhex_doc)
  public static PyObject float_fromhex(PyType type, PyObject o) {
    // XXX: I'm sure this could be shortened/simplified, but Double.parseDouble() takes
    // non-hex strings and requires the form 0xNUMBERpNUMBER for hex input which
    // causes extra complexity here.

    String message = "invalid hexadecimal floating-point string";
    boolean negative = false;

    PyString s = o.__str__();
    String value = s.getString().trim().toLowerCase();

    if (value.length() == 0) {
      throw Py.ValueError(message);
    } else if (value.equals("nan") || value.equals("-nan") || value.equals("+nan")) {
      return NAN;
    } else if (value.equals("inf")
        || value.equals("infinity")
        || value.equals("+inf")
        || value.equals("+infinity")) {
      return new PyFloat(Double.POSITIVE_INFINITY);
    } else if (value.equals("-inf") || value.equals("-infinity")) {
      return new PyFloat(Double.NEGATIVE_INFINITY);
    }

    // Strip and record + or -
    if (value.charAt(0) == '-') {
      value = value.substring(1);
      negative = true;
    } else if (value.charAt(0) == '+') {
      value = value.substring(1);
    }
    if (value.length() == 0) {
      throw Py.ValueError(message);
    }

    // Append 0x if not present.
    if (!value.startsWith("0x") && !value.startsWith("0X")) {
      value = "0x" + value;
    }

    // reattach - if needed.
    if (negative) {
      value = "-" + value;
    }

    // Append p if not present.
    if (value.indexOf('p') == -1) {
      value = value + "p0";
    }

    try {
      double d = Double.parseDouble(value);
      if (Double.isInfinite(d)) {
        throw Py.OverflowError("hexadecimal value too large to represent as a float");
      }
      return new PyFloat(d);
    } catch (NumberFormatException n) {
      throw Py.ValueError(message);
    }
  }

  // @ExposedClassMethod(doc = BuiltinDocs.float_hex_doc)
  // public static PyObject float_hex(PyType type, double value) {
  // return new PyString(Double.toHexString(value));
  // }

  private String pyHexString(Double f) {
    // Simply rewrite Java hex repr to expected Python values; not
    // the most efficient, but we don't expect this to be a hot
    // spot in our code either
    String java_hex = Double.toHexString(getValue());
    if (java_hex.equals("Infinity")) {
      return "inf";
    } else if (java_hex.equals("-Infinity")) {
      return "-inf";
    } else if (java_hex.equals("NaN")) {
      return "nan";
    } else if (java_hex.equals("0x0.0p0")) {
      return "0x0.0p+0";
    } else if (java_hex.equals("-0x0.0p0")) {
      return "-0x0.0p+0";
    }

    // replace hex rep of MpE to conform with Python such that
    // 1. M is padded to 16 digits (ignoring a leading -)
    // 2. Mp+E if E>=0
    // example: result of 42.0.hex() is translated from
    // 0x1.5p5 to 0x1.5000000000000p+5
    int len = java_hex.length();
    boolean start_exponent = false;
    StringBuilder py_hex = new StringBuilder(len + 1);
    int padding = f > 0 ? 17 : 18;
    for (int i = 0; i < len; i++) {
      char c = java_hex.charAt(i);
      if (c == 'p') {
        for (int pad = i; pad < padding; pad++) {
          py_hex.append('0');
        }
        start_exponent = true;
      } else if (start_exponent) {
        if (c != '-') {
          py_hex.append('+');
        }
        start_exponent = false;
      }
      py_hex.append(c);
    }
    return py_hex.toString();
  }

  @ExposedMethod(doc = BuiltinDocs.float_hex_doc)
  public PyObject float_hex() {
    return new PyString(pyHexString(getValue()));
  }

  /** Determine if this float is not infinity, nor NaN. */
  public boolean isFinite() {
    return !Double.isInfinite(getValue()) && !Double.isNaN(getValue());
  }

  @Override
  public String toString() {
    return __str__().toString();
  }

  @Override
  public PyString __str__() {
    return float___str__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___str___doc)
  final PyString float___str__() {
    return Py.newString(formatDouble(SPEC_STR));
  }

  @Override
  public PyString __repr__() {
    return float___repr__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___repr___doc)
  final PyString float___repr__() {
    return Py.newString(formatDouble(SPEC_REPR));
  }

  /**
   * Format this float according to the specification passed in. Supports <code>__str__</code> and
   * <code>__repr__</code>.
   *
   * @param spec parsed format specification string
   * @return formatted value
   */
  private String formatDouble(Spec spec) {
    FloatFormatter f = new FloatFormatter(spec);
    return f.format(value).getResult();
  }

  @Override
  public int hashCode() {
    return float___hash__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___hash___doc)
  final int float___hash__() {
    double value = getValue();
    if (Double.isInfinite(value)) {
      return value < 0 ? -271828 : 314159;
    } else if (Double.isNaN(value)) {
      return 0;
    }

    double intPart = Math.floor(value);
    double fractPart = value - intPart;

    if (fractPart == 0) {
      if (intPart <= Integer.MAX_VALUE && intPart >= Integer.MIN_VALUE) {
        return (int) value;
      } else {
        return __long__().hashCode();
      }
    } else {
      long v = Double.doubleToLongBits(getValue());
      return (int) v ^ (int) (v >> 32);
    }
  }

  @Override
  public boolean __nonzero__() {
    return float___nonzero__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___nonzero___doc)
  final boolean float___nonzero__() {
    return getValue() != 0;
  }

  @Override
  public Object __tojava__(Class<?> c) {
    if (c == Double.TYPE
        || c == Number.class
        || c == Double.class
        || c == Object.class
        || c == Serializable.class) {
      return new Double(getValue());
    } else if (c == Float.TYPE || c == Float.class) {
      return new Float(getValue());
    }
    return super.__tojava__(c);
  }

  @Override
  public PyObject __eq__(PyObject other) {
    // preclude _cmp_unsafe's this == other shortcut because NaN != anything, even
    // itself
    if (Double.isNaN(getValue())) {
      return Py.False;
    }
    return null;
  }

  @Override
  public PyObject __ne__(PyObject other) {
    if (Double.isNaN(getValue())) {
      return Py.True;
    }
    return null;
  }

  @Override
  public PyObject __gt__(PyObject other) {
    // NaN > anything is always false.
    if (Double.isNaN(getValue())) {
      return Py.False;
    }
    return null;
  }

  @Override
  public PyObject __ge__(PyObject other) {
    // NaN >= anything is always false.
    if (Double.isNaN(getValue())) {
      return Py.False;
    }
    return null;
  }

  @Override
  public PyObject __lt__(PyObject other) {
    // NaN < anything is always false.
    if (Double.isNaN(getValue())) {
      return Py.False;
    }
    return null;
  }

  @Override
  public PyObject __le__(PyObject other) {
    // NaN >= anything is always false.
    if (Double.isNaN(getValue())) {
      return Py.False;
    }
    return null;
  }

  @Override
  public int __cmp__(PyObject other) {
    return float___cmp__(other);
  }

  // XXX: needs __doc__
  @ExposedMethod(type = MethodType.CMP)
  final int float___cmp__(PyObject other) {
    double i = getValue();
    double j;

    if (other instanceof PyFloat) {
      j = ((PyFloat) other).getValue();
    } else if (!isFinite()) {
      // we're infinity: our magnitude exceeds any finite
      // integer, so it doesn't matter which int we compare i
      // with. If NaN, similarly.
      if (other instanceof PyInteger || other instanceof PyLong) {
        j = 0.0;
      } else {
        return -2;
      }
    } else if (other instanceof PyInteger) {
      j = ((PyInteger) other).getValue();
    } else if (other instanceof PyLong) {
      BigDecimal v = new BigDecimal(getValue());
      BigDecimal w = new BigDecimal(((PyLong) other).getValue());
      return v.compareTo(w);
    } else {
      return -2;
    }

    if (i < j) {
      return -1;
    } else if (i > j) {
      return 1;
    } else if (i == j) {
      return 0;
    } else {
      // at least one side is NaN
      return Double.isNaN(i) ? (Double.isNaN(j) ? 1 : -1) : 1;
    }
  }

  @Override
  public Object __coerce_ex__(PyObject other) {
    return float___coerce_ex__(other);
  }

  @ExposedMethod(doc = BuiltinDocs.float___coerce___doc)
  final PyObject float___coerce__(PyObject other) {
    return adaptToCoerceTuple(float___coerce_ex__(other));
  }

  /**
   * Coercion logic for float. Implemented as a final method to avoid invocation of virtual methods
   * from the exposed coerce.
   */
  final Object float___coerce_ex__(PyObject other) {
    if (other instanceof PyFloat) {
      return other;
    } else if (other instanceof PyInteger) {
      return new PyFloat((double) ((PyInteger) other).getValue());
    } else if (other instanceof PyLong) {
      return new PyFloat(((PyLong) other).doubleValue());
    } else {
      return Py.None;
    }
  }

  private static boolean canCoerce(PyObject other) {
    return other instanceof PyFloat || other instanceof PyInteger || other instanceof PyLong;
  }

  private static double coerce(PyObject other) {
    if (other instanceof PyFloat) {
      return ((PyFloat) other).getValue();
    } else if (other instanceof PyInteger) {
      return ((PyInteger) other).getValue();
    } else if (other instanceof PyLong) {
      return ((PyLong) other).doubleValue();
    } else {
      throw Py.TypeError("xxx");
    }
  }

  @Override
  public PyObject __add__(PyObject right) {
    return float___add__(right);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___add___doc)
  final PyObject float___add__(PyObject right) {
    if (!canCoerce(right)) {
      return null;
    }
    double rightv = coerce(right);
    return new PyFloat(getValue() + rightv);
  }

  @Override
  public PyObject __radd__(PyObject left) {
    return float___radd__(left);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___radd___doc)
  final PyObject float___radd__(PyObject left) {
    return __add__(left);
  }

  @Override
  public PyObject __sub__(PyObject right) {
    return float___sub__(right);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___sub___doc)
  final PyObject float___sub__(PyObject right) {
    if (!canCoerce(right)) {
      return null;
    }
    double rightv = coerce(right);
    return new PyFloat(getValue() - rightv);
  }

  @Override
  public PyObject __rsub__(PyObject left) {
    return float___rsub__(left);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___rsub___doc)
  final PyObject float___rsub__(PyObject left) {
    if (!canCoerce(left)) {
      return null;
    }
    double leftv = coerce(left);
    return new PyFloat(leftv - getValue());
  }

  @Override
  public PyObject __mul__(PyObject right) {
    return float___mul__(right);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___mul___doc)
  final PyObject float___mul__(PyObject right) {
    if (!canCoerce(right)) {
      return null;
    }
    double rightv = coerce(right);
    return new PyFloat(getValue() * rightv);
  }

  @Override
  public PyObject __rmul__(PyObject left) {
    return float___rmul__(left);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___rmul___doc)
  final PyObject float___rmul__(PyObject left) {
    return __mul__(left);
  }

  @Override
  public PyObject __div__(PyObject right) {
    return float___div__(right);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___div___doc)
  final PyObject float___div__(PyObject right) {
    if (!canCoerce(right)) {
      return null;
    } else if (Options.division_warning >= 2) {
      Py.warning(Py.DeprecationWarning, "classic float division");
    }

    double rightv = coerce(right);
    if (rightv == 0) {
      throw Py.ZeroDivisionError("float division");
    }
    return new PyFloat(getValue() / rightv);
  }

  @Override
  public PyObject __rdiv__(PyObject left) {
    return float___rdiv__(left);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___rdiv___doc)
  final PyObject float___rdiv__(PyObject left) {
    if (!canCoerce(left)) {
      return null;
    } else if (Options.division_warning >= 2) {
      Py.warning(Py.DeprecationWarning, "classic float division");
    }

    double leftv = coerce(left);
    if (getValue() == 0) {
      throw Py.ZeroDivisionError("float division");
    }
    return new PyFloat(leftv / getValue());
  }

  @Override
  public PyObject __floordiv__(PyObject right) {
    return float___floordiv__(right);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___floordiv___doc)
  final PyObject float___floordiv__(PyObject right) {
    if (!canCoerce(right)) {
      return null;
    }
    double rightv = coerce(right);
    if (rightv == 0) {
      throw Py.ZeroDivisionError("float division");
    }
    return new PyFloat(Math.floor(getValue() / rightv));
  }

  @Override
  public PyObject __rfloordiv__(PyObject left) {
    return float___rfloordiv__(left);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___rfloordiv___doc)
  final PyObject float___rfloordiv__(PyObject left) {
    if (!canCoerce(left)) {
      return null;
    }
    double leftv = coerce(left);
    if (getValue() == 0) {
      throw Py.ZeroDivisionError("float division");
    }
    return new PyFloat(Math.floor(leftv / getValue()));
  }

  @Override
  public PyObject __truediv__(PyObject right) {
    return float___truediv__(right);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___truediv___doc)
  final PyObject float___truediv__(PyObject right) {
    if (!canCoerce(right)) {
      return null;
    }
    double rightv = coerce(right);
    if (rightv == 0) {
      throw Py.ZeroDivisionError("float division");
    }
    return new PyFloat(getValue() / rightv);
  }

  @Override
  public PyObject __rtruediv__(PyObject left) {
    return float___rtruediv__(left);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___rtruediv___doc)
  final PyObject float___rtruediv__(PyObject left) {
    if (!canCoerce(left)) {
      return null;
    }
    double leftv = coerce(left);
    if (getValue() == 0) {
      throw Py.ZeroDivisionError("float division");
    }
    return new PyFloat(leftv / getValue());
  }

  /**
   * Python % operator: y = n*x + z. The modulo operator always yields a result with the same sign
   * as its second operand (or zero). (Compare <code>java.Math.IEEEremainder</code>)
   *
   * @param x dividend
   * @param y divisor
   * @return <code>x % y</code>
   */
  private static double modulo(double x, double y) {
    if (y == 0.0) {
      throw Py.ZeroDivisionError("float modulo");
    } else {
      double z = x % y;
      if (z == 0.0) {
        // Has to be same sign as y (even when zero).
        return Math.copySign(z, y);
      } else if ((z > 0.0) == (y > 0.0)) {
        // z has same sign as y, as it must.
        return z;
      } else {
        // Note abs(z) < abs(y) and opposite sign.
        return z + y;
      }
    }
  }

  @Override
  public PyObject __mod__(PyObject right) {
    return float___mod__(right);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___mod___doc)
  final PyObject float___mod__(PyObject right) {
    if (!canCoerce(right)) {
      return null;
    }
    double rightv = coerce(right);
    return new PyFloat(modulo(getValue(), rightv));
  }

  @Override
  public PyObject __rmod__(PyObject left) {
    return float___rmod__(left);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___rmod___doc)
  final PyObject float___rmod__(PyObject left) {
    if (!canCoerce(left)) {
      return null;
    }
    double leftv = coerce(left);
    return new PyFloat(modulo(leftv, getValue()));
  }

  @Override
  public PyObject __divmod__(PyObject right) {
    return float___divmod__(right);
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___divmod___doc)
  final PyObject float___divmod__(PyObject right) {
    if (!canCoerce(right)) {
      return null;
    }
    double rightv = coerce(right);

    if (rightv == 0) {
      throw Py.ZeroDivisionError("float division");
    }
    double z = Math.floor(getValue() / rightv);

    return new PyTuple(new PyFloat(z), new PyFloat(getValue() - z * rightv));
  }

  @Override
  public PyObject __rdivmod__(PyObject left) {
    if (!canCoerce(left)) {
      return null;
    }
    double leftv = coerce(left);

    if (getValue() == 0) {
      throw Py.ZeroDivisionError("float division");
    }
    double z = Math.floor(leftv / getValue());

    return new PyTuple(new PyFloat(z), new PyFloat(leftv - z * getValue()));
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___rdivmod___doc)
  final PyObject float___rdivmod__(PyObject left) {
    return __rdivmod__(left);
  }

  @Override
  public PyObject __pow__(PyObject right, PyObject modulo) {
    return float___pow__(right, modulo);
  }

  @ExposedMethod(
      type = MethodType.BINARY,
      defaults = "null", //
      doc = BuiltinDocs.float___pow___doc)
  final PyObject float___pow__(PyObject right, PyObject modulo) {
    if (!canCoerce(right)) {
      return null;
    }

    modulo = (modulo == Py.None) ? null : modulo;
    if (modulo != null) {
      throw Py.TypeError("pow() 3rd argument not allowed unless all arguments are integers");
    } else {
      return _pow(getValue(), coerce(right));
    }
  }

  @ExposedMethod(type = MethodType.BINARY, doc = BuiltinDocs.float___rpow___doc)
  final PyObject float___rpow__(PyObject left) {
    return __rpow__(left);
  }

  @Override
  public PyObject __rpow__(PyObject left) {
    if (!canCoerce(left)) {
      return null;
    } else {
      return _pow(coerce(left), getValue());
    }
  }

  private static PyFloat _pow(double v, double w) {
    /*
     * This code was translated from the CPython implementation at v2.7.8 by progressively
     * removing cases that could be delegated to Java. Jython differs from CPython in that where
     * C pow() overflows, Java pow() returns inf (observed on Windows). This is not subject to
     * regression tests, so we take it as an allowable platform dependency. All other
     * differences in Java Math.pow() are trapped below and Python behaviour is enforced.
     */
    if (w == 0) {
      // v**0 is 1, even 0**0
      return ONE;

    } else if (Double.isNaN(v)) {
      // nan**w = nan, unless w == 0
      return NAN;

    } else if (Double.isNaN(w)) {
      // v**nan = nan, unless v == 1; 1**nan = 1
      if (v == 1.0) {
        return ONE;
      } else {
        return NAN;
      }

    } else if (Double.isInfinite(w)) {
      /*
       * In Java Math pow(1,inf) = pow(-1,inf) = pow(1,-inf) = pow(-1,-inf) = nan, but in
       * Python they are all 1.
       */
      if (v == 1.0 || v == -1.0) {
        return ONE;
      }

    } else if (v == 0.0) {
      // 0**w is an error if w is negative.
      if (w < 0.0) {
        throw Py.ZeroDivisionError("0.0 cannot be raised to a negative power");
      }

    } else if (!Double.isInfinite(v) && v < 0.0) {
      if (w != Math.floor(w)) {
        throw Py.ValueError("negative number cannot be raised to a fractional power");
      }
    }

    // In all cases not caught above we can entrust the calculation to Java
    return new PyFloat(Math.pow(v, w));
  }

  @Override
  public PyObject __neg__() {
    return float___neg__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___neg___doc)
  final PyObject float___neg__() {
    return new PyFloat(-getValue());
  }

  @Override
  public PyObject __pos__() {
    return float___pos__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___pos___doc)
  final PyObject float___pos__() {
    return float___float__();
  }

  @Override
  public PyObject __invert__() {
    throw Py.TypeError("bad operand type for unary ~");
  }

  @Override
  public PyObject __abs__() {
    return float___abs__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___abs___doc)
  final PyObject float___abs__() {
    return new PyFloat(Math.abs(getValue()));
  }

  @Override
  public PyObject __int__() {
    return float___int__();
  }

  /** Smallest value that cannot be represented as an int */
  private static double INT_LONG_BOUNDARY = -(double) Integer.MIN_VALUE; // 2^31

  @ExposedMethod(doc = BuiltinDocs.float___int___doc)
  final PyObject float___int__() {
    double v = getValue();
    if (v < INT_LONG_BOUNDARY && v > -(INT_LONG_BOUNDARY + 1.0)) {
      // v will fit into an int (when rounded towards zero).
      return new PyInteger((int) v);
    } else {
      return __long__();
    }
  }

  @Override
  public PyObject __long__() {
    return float___long__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___long___doc)
  final PyObject float___long__() {
    return new PyLong(getValue());
  }

  @Override
  public PyFloat __float__() {
    return float___float__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___float___doc)
  final PyFloat float___float__() {
    return getType() == TYPE ? this : Py.newFloat(getValue());
  }

  @Override
  public PyObject __trunc__() {
    return float___trunc__();
  }

  @ExposedMethod(doc = BuiltinDocs.float___trunc___doc)
  final PyObject float___trunc__() {
    if (Double.isNaN(value)) {
      throw Py.ValueError("cannot convert float NaN to integer");
    }
    if (Double.isInfinite(value)) {
      throw Py.OverflowError("cannot convert float infinity to integer");
    }
    if (value < Integer.MAX_VALUE) {
      return new PyInteger((int) value);
    } else if (value < Long.MAX_VALUE) {
      return new PyLong((long) value);
    }
    BigDecimal d = new BigDecimal(value);
    return new PyLong(d.toBigInteger());
  }

  @Override
  public PyObject conjugate() {
    return float_conjugate();
  }

  @ExposedMethod(doc = BuiltinDocs.float_conjugate_doc)
  final PyObject float_conjugate() {
    return this;
  }

  public boolean is_integer() {
    return float_is_integer();
  }

  @ExposedMethod(doc = BuiltinDocs.float_is_integer_doc)
  final boolean float_is_integer() {
    if (Double.isInfinite(value)) {
      return false;
    }
    return Math.floor(value) == value;
  }

  @Override
  public PyComplex __complex__() {
    return new PyComplex(getValue(), 0.);
  }

  @ExposedMethod(doc = BuiltinDocs.float___getnewargs___doc)
  final PyTuple float___getnewargs__() {
    return new PyTuple(new PyObject[] {new PyFloat(getValue())});
  }

  @Override
  public PyTuple __getnewargs__() {
    return float___getnewargs__();
  }

  @Override
  public PyObject __format__(PyObject formatSpec) {
    return float___format__(formatSpec);
  }

  @ExposedMethod(doc = BuiltinDocs.float___format___doc)
  final PyObject float___format__(PyObject formatSpec) {

    // Parse the specification
    Spec spec = InternalFormat.fromText(formatSpec, "__format__");

    // Get a formatter for the specification
    FloatFormatter f = prepareFormatter(spec);

    if (f != null) {
      // Bytes mode if formatSpec argument is not unicode.
      f.setBytes(!(formatSpec instanceof PyUnicode));
      // Convert as per specification.
      f.format(value);
      // Return a result that has the same type (str or unicode) as the formatSpec argument.
      return f.pad().getPyResult();

    } else {
      // The type code was not recognised in prepareFormatter
      throw Formatter.unknownFormat(spec.type, "float");
    }
  }

  /**
   * Common code for PyFloat, {@link PyInteger} and {@link PyLong} to prepare a {@link
   * FloatFormatter} from a parsed specification. The object returned has format method {@link
   * FloatFormatter#format(double)}.
   *
   * @param spec a parsed PEP-3101 format specification.
   * @return a formatter ready to use, or null if the type is not a floating point format type.
   * @throws PyException(ValueError) if the specification is faulty.
   */
  @SuppressWarnings("fallthrough")
  static FloatFormatter prepareFormatter(Spec spec) {

    // Slight differences between format types
    switch (spec.type) {
      case 'n':
        if (spec.grouping) {
          throw Formatter.notAllowed("Grouping", "float", spec.type);
        }
        // Fall through

      case Spec.NONE:
      case 'e':
      case 'f':
      case 'g':
      case 'E':
      case 'F':
      case 'G':
      case '%':
        // Check for disallowed parts of the specification
        if (spec.alternate) {
          throw FloatFormatter.alternateFormNotAllowed("float");
        }
        // spec may be incomplete. The defaults are those commonly used for numeric formats.
        spec = spec.withDefaults(Spec.NUMERIC);
        return new FloatFormatter(spec);

      default:
        return null;
    }
  }

  @ExposedMethod(doc = BuiltinDocs.float_as_integer_ratio_doc)
  public PyTuple as_integer_ratio() {
    if (Double.isInfinite(value)) {
      throw Py.OverflowError("Cannot pass infinity to float.as_integer_ratio.");
    }
    if (Double.isNaN(value)) {
      throw Py.ValueError("Cannot pass NaN to float.as_integer_ratio.");
    }
    PyTuple frexp = math.frexp(value);
    double float_part = ((Double) frexp.get(0)).doubleValue();
    int exponent = ((Integer) frexp.get(1)).intValue();
    for (int i = 0; i < 300 && float_part != Math.floor(float_part); i++) {
      float_part *= 2.0;
      exponent--;
    }
    /*
     * self == float_part * 2**exponent exactly and float_part is integral. If FLT_RADIX != 2,
     * the 300 steps may leave a tiny fractional part to be truncated by PyLong_FromDouble().
     */

    PyLong numerator = new PyLong(float_part);
    PyLong denominator = new PyLong(1);
    PyLong py_exponent = new PyLong(Math.abs(exponent));
    py_exponent = (PyLong) denominator.__lshift__(py_exponent);
    if (exponent > 0) {
      numerator = new PyLong(numerator.getValue().multiply(py_exponent.getValue()));
    } else {
      denominator = py_exponent;
    }
    return new PyTuple(numerator, denominator);
  }

  @Override
  public double asDouble() {
    return getValue();
  }

  @Override
  public boolean isNumberType() {
    return true;
  }

  // standard singleton issues apply here to __getformat__/__setformat__,
  // but this is what Python demands
  public enum Format {
    UNKNOWN("unknown"),
    BE("IEEE, big-endian"),
    LE("IEEE, little-endian");

    private final String format;

    Format(String format) {
      this.format = format;
    }

    public String format() {
      return format;
    }
  }

  // subset of IEEE-754, the JVM is big-endian
  public static volatile Format double_format = Format.BE;
  public static volatile Format float_format = Format.BE;

  @ExposedClassMethod(doc = BuiltinDocs.float___getformat___doc)
  public static String float___getformat__(PyType type, String typestr) {
    if ("double".equals(typestr)) {
      return double_format.format();
    } else if ("float".equals(typestr)) {
      return float_format.format();
    } else {
      throw Py.ValueError("__getformat__() argument 1 must be 'double' or 'float'");
    }
  }

  @ExposedClassMethod(doc = BuiltinDocs.float___setformat___doc)
  public static void float___setformat__(PyType type, String typestr, String format) {
    Format new_format = null;
    if (!"double".equals(typestr) && !"float".equals(typestr)) {
      throw Py.ValueError("__setformat__() argument 1 must be 'double' or 'float'");
    }
    if (Format.LE.format().equals(format)) {
      throw Py.ValueError(
          String.format(
              "can only set %s format to 'unknown' or the " + "detected platform value", typestr));
    } else if (Format.BE.format().equals(format)) {
      new_format = Format.BE;
    } else if (Format.UNKNOWN.format().equals(format)) {
      new_format = Format.UNKNOWN;
    } else {
      throw Py.ValueError(
          "__setformat__() argument 2 must be 'unknown', "
              + "'IEEE, little-endian' or 'IEEE, big-endian'");
    }
    if (new_format != null) {
      if ("double".equals(typestr)) {
        double_format = new_format;
      } else {
        float_format = new_format;
      }
    }
  }
}