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RubyNumeric.java

/***** BEGIN LICENSE BLOCK *****
 * Version: CPL 1.0/GPL 2.0/LGPL 2.1
 *
 * The contents of this file are subject to the Common Public
 * License Version 1.0 (the "License"); you may not use this file
 * except in compliance with the License. You may obtain a copy of
 * the License at http://www.eclipse.org/legal/cpl-v10.html
 *
 * Software distributed under the License is distributed on an "AS
 * IS" basis, WITHOUT WARRANTY OF ANY KIND, either express or
 * implied. See the License for the specific language governing
 * rights and limitations under the License.
 *
 * Copyright (C) 2001 Alan Moore <alan_moore@gmx.net>
 * Copyright (C) 2001-2004 Jan Arne Petersen <jpetersen@uni-bonn.de>
 * Copyright (C) 2002 Benoit Cerrina <b.cerrina@wanadoo.fr>
 * Copyright (C) 2002-2004 Anders Bengtsson <ndrsbngtssn@yahoo.se>
 * Copyright (C) 2002-2004 Thomas E Enebo <enebo@acm.org>
 * Copyright (C) 2004 Stefan Matthias Aust <sma@3plus4.de>
 * Copyright (C) 2006 Miguel Covarrubias <mlcovarrubias@gmail.com>
 * Copyright (C) 2006 Antti Karanta <Antti.Karanta@napa.fi>
 * 
 * Alternatively, the contents of this file may be used under the terms of
 * either of the GNU General Public License Version 2 or later (the "GPL"),
 * or the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
 * in which case the provisions of the GPL or the LGPL are applicable instead
 * of those above. If you wish to allow use of your version of this file only
 * under the terms of either the GPL or the LGPL, and not to allow others to
 * use your version of this file under the terms of the CPL, indicate your
 * decision by deleting the provisions above and replace them with the notice
 * and other provisions required by the GPL or the LGPL. If you do not delete
 * the provisions above, a recipient may use your version of this file under
 * the terms of any one of the CPL, the GPL or the LGPL.
 ***** END LICENSE BLOCK *****/
package org.jruby;

import static org.jruby.util.Numeric.f_abs;
import static org.jruby.util.Numeric.f_arg;
import static org.jruby.util.Numeric.f_negative_p;

import java.math.BigInteger;

import org.jruby.anno.JRubyClass;
import org.jruby.anno.JRubyMethod;
import org.jruby.exceptions.RaiseException;
import org.jruby.javasupport.util.RuntimeHelpers;
import org.jruby.runtime.Block;
import org.jruby.runtime.MethodIndex;
import org.jruby.runtime.ObjectAllocator;
import org.jruby.runtime.ThreadContext;
import org.jruby.runtime.Visibility;
import org.jruby.runtime.builtin.IRubyObject;
import org.jruby.util.ByteList;
import org.jruby.util.Convert;

/**
 * Base class for all numerical types in ruby.
 */
// TODO: Numeric.new works in Ruby and it does here too.  However trying to use
//   that instance in a numeric operation should generate an ArgumentError. Doing
//   this seems so pathological I do not see the need to fix this now.
@JRubyClass(name="Numeric", include="Comparable")
00063 public class RubyNumeric extends RubyObject {
    
    public static RubyClass createNumericClass(Ruby runtime) {
        RubyClass numeric = runtime.defineClass("Numeric", runtime.getObject(), NUMERIC_ALLOCATOR);
        runtime.setNumeric(numeric);

        numeric.kindOf = new RubyModule.KindOf() {
            @Override
            public boolean isKindOf(IRubyObject obj, RubyModule type) {
                return obj instanceof RubyNumeric;
            }
        };

        numeric.includeModule(runtime.getComparable());
        numeric.defineAnnotatedMethods(RubyNumeric.class);

        return numeric;
    }

    protected static final ObjectAllocator NUMERIC_ALLOCATOR = new ObjectAllocator() {
        public IRubyObject allocate(Ruby runtime, RubyClass klass) {
            return new RubyNumeric(runtime, klass);
        }
    };

    public static double DBL_EPSILON=2.2204460492503131e-16;

    private static IRubyObject convertToNum(double val, Ruby runtime) {

        if (val >= (double) RubyFixnum.MAX || val < (double) RubyFixnum.MIN) {
            return RubyBignum.newBignum(runtime, val);
        }
        return RubyFixnum.newFixnum(runtime, (long) val);
    }
    
    public RubyNumeric(Ruby runtime, RubyClass metaClass) {
        super(runtime, metaClass);
    }

    public RubyNumeric(Ruby runtime, RubyClass metaClass, boolean useObjectSpace) {
        super(runtime, metaClass, useObjectSpace);
    }    

    // The implementations of these are all bonus (see TODO above)  I was going
    // to throw an error from these, but it appears to be the wrong place to
    // do it.
    public double getDoubleValue() {
        return 0;
    }

    public long getLongValue() {
        return 0;
    }
    
    public static RubyNumeric newNumeric(Ruby runtime) {
      return new RubyNumeric(runtime, runtime.getNumeric());
    }

    /*  ================
     *  Utility Methods
     *  ================ 
     */

    /** rb_num2int, NUM2INT
     * 
     */
00129     public static int num2int(IRubyObject arg) {
        long num = num2long(arg);

        checkInt(arg, num);
        return (int)num;
    }
    
    /** check_int
     * 
     */
00139     public static void checkInt(IRubyObject arg, long num){
        String s;
        if (num < Integer.MIN_VALUE) {
            s = "small";
        } else if (num > Integer.MAX_VALUE) {
            s = "big";
        } else {
            return;
        }
        throw arg.getRuntime().newRangeError("integer " + num + " too " + s + " to convert to `int'");
    }

    /**
     * NUM2CHR
     */
00154     public static byte num2chr(IRubyObject arg) {
        if (arg instanceof RubyString) {
            String value = ((RubyString) arg).toString();

            if (value != null && value.length() > 0) return (byte) value.charAt(0);
        } 

        return (byte) num2int(arg);
    }

    /** rb_num2long and FIX2LONG (numeric.c)
     * 
     */
00167     public static long num2long(IRubyObject arg) {
        if (arg instanceof RubyFixnum) {
            return ((RubyFixnum) arg).getLongValue();
        }
        if (arg.isNil()) {
            throw arg.getRuntime().newTypeError("no implicit conversion from nil to integer");
        }

        if (arg instanceof RubyFloat) {
            double aFloat = ((RubyFloat) arg).getDoubleValue();
            if (aFloat <= (double) Long.MAX_VALUE && aFloat >= (double) Long.MIN_VALUE) {
                return (long) aFloat;
            } else {
                // TODO: number formatting here, MRI uses "%-.10g", 1.4 API is a must?
                throw arg.getRuntime().newRangeError("float " + aFloat + " out of range of integer");
            }
        } else if (arg instanceof RubyBignum) {
            return RubyBignum.big2long((RubyBignum) arg);
        }
        return arg.convertToInteger().getLongValue();
    }

    /** rb_dbl2big + LONG2FIX at once (numeric.c)
     * 
     */
00192     public static IRubyObject dbl2num(Ruby runtime, double val) {
        if (Double.isInfinite(val)) {
            throw runtime.newFloatDomainError(val < 0 ? "-Infinity" : "Infinity");
        }
        if (Double.isNaN(val)) {
            throw runtime.newFloatDomainError("NaN");
        }
        return convertToNum(val,runtime);
    }

    /** rb_num2dbl and NUM2DBL
     * 
     */
00205     public static double num2dbl(IRubyObject arg) {
        if (arg instanceof RubyFloat) {
            return ((RubyFloat) arg).getDoubleValue();
        } else if (arg instanceof RubyString) {
            throw arg.getRuntime().newTypeError("no implicit conversion to float from string");
        } else if (arg == arg.getRuntime().getNil()) {
            throw arg.getRuntime().newTypeError("no implicit conversion to float from nil");
        }
        return arg.convertToFloat().getDoubleValue();
    }

    /** rb_dbl_cmp (numeric.c)
     * 
     */
00219     public static IRubyObject dbl_cmp(Ruby runtime, double a, double b) {
        if (Double.isNaN(a) || Double.isNaN(b)) {
            return runtime.getNil();
        }
        if (a > b) {
            return RubyFixnum.one(runtime);
        }
        if (a < b) {
            return RubyFixnum.minus_one(runtime);
        }
        return RubyFixnum.zero(runtime);
    }

    public static long fix2long(IRubyObject arg) {
        return ((RubyFixnum) arg).getLongValue();
    }

    public static int fix2int(IRubyObject arg) {
        long num = arg instanceof RubyFixnum ? fix2long(arg) : num2long(arg);

        checkInt(arg, num);
        return (int) num;
        }

    public static RubyInteger str2inum(Ruby runtime, RubyString str, int base) {
        return str2inum(runtime,str,base,false);
    }

    public static RubyNumeric int2fix(Ruby runtime, long val) {
        return RubyFixnum.newFixnum(runtime,val);
    }

    /** rb_num2fix
     * 
     */
00254     public static IRubyObject num2fix(IRubyObject val) {
        if (val instanceof RubyFixnum) {
            return val;
        }
        if (val instanceof RubyBignum) {
            // any BigInteger is bigger than Fixnum and we don't have FIXABLE
            throw val.getRuntime().newRangeError("integer " + val + " out of range of fixnum");
        }
        return RubyFixnum.newFixnum(val.getRuntime(), num2long(val));
    }

    /**
     * Converts a string representation of an integer to the integer value. 
     * Parsing starts at the beginning of the string (after leading and 
     * trailing whitespace have been removed), and stops at the end or at the 
     * first character that can't be part of an integer.  Leading signs are
     * allowed. If <code>base</code> is zero, strings that begin with '0[xX]',
     * '0[bB]', or '0' (optionally preceded by a sign) will be treated as hex, 
     * binary, or octal numbers, respectively.  If a non-zero base is given, 
     * only the prefix (if any) that is appropriate to that base will be 
     * parsed correctly.  For example, if the base is zero or 16, the string
     * "0xff" will be converted to 256, but if the base is 10, it will come out 
     * as zero, since 'x' is not a valid decimal digit.  If the string fails 
     * to parse as a number, zero is returned.
     * 
     * @param runtime  the ruby runtime
     * @param str   the string to be converted
     * @param base  the expected base of the number (for example, 2, 8, 10, 16),
     *              or 0 if the method should determine the base automatically 
     *              (defaults to 10). Values 0 and 2-36 are permitted. Any other
     *              value will result in an ArgumentError.
     * @param strict if true, enforce the strict criteria for String encoding of
     *               numeric values, as required by Integer('n'), and raise an
     *               exception when those criteria are not met. Otherwise, allow
     *               lax expression of values, as permitted by String#to_i, and
     *               return a value in almost all cases (excepting illegal radix).
     *               TODO: describe the rules/criteria
     * @return  a RubyFixnum or (if necessary) a RubyBignum representing 
     *          the result of the conversion, which will be zero if the 
     *          conversion failed.
     */
00295     public static RubyInteger str2inum(Ruby runtime, RubyString str, int base, boolean strict) {
        if (base != 0 && (base < 2 || base > 36)) {
            throw runtime.newArgumentError("illegal radix " + base);
        }
        ByteList bytes = str.getByteList();
        try {
            return runtime.newFixnum(Convert.byteListToLong(bytes, base, strict));
        } catch (InvalidIntegerException e) {
            return str2inumIIE(strict, runtime, str);
        } catch (NumberTooLargeException e) {
            return str2inumNTLE(strict, runtime, str, bytes, base);
        }
    }

    private static RubyInteger str2inumIIE(boolean strict, Ruby runtime, RubyString str) throws RaiseException {
        if (strict) {
            throw runtime.newArgumentError("invalid value for Integer: " + str.callMethod(runtime.getCurrentContext(), "inspect").toString());
        }
        return RubyFixnum.zero(runtime);
    }
    
    private static RubyInteger str2inumNTLE(boolean strict, Ruby runtime, RubyString str, ByteList bytes, int base) {
        try {
            BigInteger bi = Convert.byteListToBigInteger(bytes, base, strict);
            return new RubyBignum(runtime, bi);
        } catch (InvalidIntegerException e2) {
            return str2inumIIE(strict, runtime, str);
        }
    }

    public static RubyFloat str2fnum(Ruby runtime, RubyString arg) {
        return str2fnum(runtime,arg,false);
    }

    /**
     * Converts a string representation of a floating-point number to the 
     * numeric value.  Parsing starts at the beginning of the string (after 
     * leading and trailing whitespace have been removed), and stops at the 
     * end or at the first character that can't be part of a number.  If 
     * the string fails to parse as a number, 0.0 is returned.
     * 
     * @param runtime  the ruby runtime
     * @param arg   the string to be converted
     * @param strict if true, enforce the strict criteria for String encoding of
     *               numeric values, as required by Float('n'), and raise an
     *               exception when those criteria are not met. Otherwise, allow
     *               lax expression of values, as permitted by String#to_f, and
     *               return a value in all cases.
     *               TODO: describe the rules/criteria
     * @return  a RubyFloat representing the result of the conversion, which
     *          will be 0.0 if the conversion failed.
     */
00347     public static RubyFloat str2fnum(Ruby runtime, RubyString arg, boolean strict) {
        final double ZERO = 0.0;
        
        try {
            return new RubyFloat(runtime,Convert.byteListToDouble(arg.getByteList(),strict));
        } catch (NumberFormatException e) {
            if (strict) {
                throw runtime.newArgumentError("invalid value for Float(): "
                        + arg.callMethod(runtime.getCurrentContext(), "inspect").toString());
            }
            return new RubyFloat(runtime,ZERO);
        }
    }
    
    /** Numeric methods. (num_*)
     *
     */
    
00365     protected IRubyObject[] getCoerced(ThreadContext context, IRubyObject other, boolean error) {
        IRubyObject result;
        
        try {
            result = other.callMethod(context, "coerce", this);
        } catch (RaiseException e) {
            if (error) {
                throw getRuntime().newTypeError(
                        other.getMetaClass().getName() + " can't be coerced into " + getMetaClass().getName());
            }
             
            return null;
        }
        
        if (!(result instanceof RubyArray) || ((RubyArray)result).getLength() != 2) {
            throw getRuntime().newTypeError("coerce must return [x, y]");
        }
        
        return ((RubyArray)result).toJavaArray();
    }

    protected IRubyObject callCoerced(ThreadContext context, String method, IRubyObject other, boolean err) {
        IRubyObject[] args = getCoerced(context, other, err);
        if(args == null) {
            return getRuntime().getNil();
        }
        return args[0].callMethod(context, method, args[1]);
    }

    protected IRubyObject callCoerced(ThreadContext context, String method, IRubyObject other) {
        IRubyObject[] args = getCoerced(context, other, false);
        if(args == null) {
            return getRuntime().getNil();
        }
        return args[0].callMethod(context, method, args[1]);
    }
    
    // beneath are rewritten coercions that reflect MRI logic, the aboves are used only by RubyBigDecimal

    /** coerce_body
     *
     */
00407     protected final IRubyObject coerceBody(ThreadContext context, IRubyObject other) {
        return other.callMethod(context, "coerce", this);
    }

    /** do_coerce
     * 
     */
00414     protected final RubyArray doCoerce(ThreadContext context, IRubyObject other, boolean err) {
        IRubyObject result;
        try {
            result = coerceBody(context, other);
        } catch (RaiseException e) {
            if (err) {
                throw getRuntime().newTypeError(
                        other.getMetaClass().getName() + " can't be coerced into " + getMetaClass().getName());
            }
            return null;
        }
    
        if (!(result instanceof RubyArray) || ((RubyArray) result).getLength() != 2) {
            throw getRuntime().newTypeError("coerce must return [x, y]");
        }
        return (RubyArray) result;
    }

    /** rb_num_coerce_bin
     *  coercion taking two arguments
     */
00435     protected final IRubyObject coerceBin(ThreadContext context, String method, IRubyObject other) {
        RubyArray ary = doCoerce(context, other, true);
        return (ary.eltInternal(0)).callMethod(context, method, ary.eltInternal(1));
    }
    
    /** rb_num_coerce_cmp
     *  coercion used for comparisons
     */
00443     protected final IRubyObject coerceCmp(ThreadContext context, String method, IRubyObject other) {
        RubyArray ary = doCoerce(context, other, false);
        if (ary == null) {
            return getRuntime().getNil(); // MRI does it!
        } 
        return (ary.eltInternal(0)).callMethod(context, method, ary.eltInternal(1));
    }
        
    /** rb_num_coerce_relop
     *  coercion used for relative operators
     */
00454     protected final IRubyObject coerceRelOp(ThreadContext context, String method, IRubyObject other) {
        RubyArray ary = doCoerce(context, other, false);
        if (ary == null) {
            return RubyComparable.cmperr(this, other);
        }

        return unwrapCoerced(context, method, other, ary);
    }
    
    private final IRubyObject unwrapCoerced(ThreadContext context, String method, IRubyObject other, RubyArray ary) {
        IRubyObject result = (ary.eltInternal(0)).callMethod(context, method, ary.eltInternal(1));
        if (result.isNil()) {
            return RubyComparable.cmperr(this, other);
        }
        return result;
    }
        
    public RubyNumeric asNumeric() {
        return this;
    }

    /*  ================
     *  Instance Methods
     *  ================ 
     */

    /** num_sadded
     *
     */
    @JRubyMethod(name = "singleton_method_added")
00484     public IRubyObject sadded(IRubyObject name) {
        throw getRuntime().newTypeError("can't define singleton method " + name + " for " + getType().getName());
    } 
        
    /** num_init_copy
     *
     */
    @Override
    @JRubyMethod(name = "initialize_copy", visibility = Visibility.PRIVATE)
00493     public IRubyObject initialize_copy(IRubyObject arg) {
        throw getRuntime().newTypeError("can't copy " + getType().getName());
    }
    
    /** num_coerce
     *
     */
    @JRubyMethod(name = "coerce")
00501     public IRubyObject coerce(IRubyObject other) {
        if (getClass() == other.getClass()) return getRuntime().newArray(other, this);

        IRubyObject cdr = RubyKernel.new_float(this, this);
        IRubyObject car = RubyKernel.new_float(this, other);

        return getRuntime().newArray(car, cdr);
    }

    /** num_uplus
     *
     */
    @JRubyMethod(name = "+@")
00514     public IRubyObject op_uplus() {
        return this;
    }

    /** num_uminus
     *
     */
    @JRubyMethod(name = "-@")
00522     public IRubyObject op_uminus(ThreadContext context) {
        RubyFixnum zero = RubyFixnum.zero(getRuntime());
        RubyArray ary = zero.doCoerce(context, this, true);
        return ary.eltInternal(0).callMethod(context, MethodIndex.OP_MINUS, "-", ary.eltInternal(1));
    }
    
    /** num_cmp
     *
     */
    @JRubyMethod(name = "<=>")
00532     public IRubyObject op_cmp(IRubyObject other) {
        if (this == other) { // won't hurt fixnums
            return RubyFixnum.zero(getRuntime());
        }
        return getRuntime().getNil();
    }

    /** num_eql
     *
     */
    @JRubyMethod(name = "eql?")
00543     public IRubyObject eql_p(ThreadContext context, IRubyObject other) {
        if (getClass() != other.getClass()) return getRuntime().getFalse();
        return equalInternal(context, this, other) ? getRuntime().getTrue() : getRuntime().getFalse();
    }

    /** num_quo
     *
     */
    @JRubyMethod(name = "quo")
00552     public IRubyObject quo(ThreadContext context, IRubyObject other) {
        return callMethod(context, "/", other);
    }
    
    /** num_quo
    *
    */
    @JRubyMethod(name = "quo", compat = CompatVersion.RUBY1_9)
00560     public IRubyObject quo_19(ThreadContext context, IRubyObject other) {
        return RubyRational.newRationalRaw(context.getRuntime(), this).callMethod(context, "/", other);
    }

    /** num_div
     * 
     */
    @JRubyMethod(name = "div")
00568     public IRubyObject div(ThreadContext context, IRubyObject other) {
        return callMethod(context, "/", other).convertToFloat().floor();
    }

    /** num_divmod
     * 
     */
    @JRubyMethod(name = "divmod")
00576     public IRubyObject divmod(ThreadContext context, IRubyObject other) {
        return RubyArray.newArray(getRuntime(), div(context, other), modulo(context, other));
    }
    
    /** num_fdiv (1.9) */
    @JRubyMethod(name = "fdiv", compat = CompatVersion.RUBY1_9)
00582     public IRubyObject fdiv(ThreadContext context, IRubyObject other) {
        return RuntimeHelpers.invoke(context, this.convertToFloat(), "/", other);
    }

    /** num_modulo
     *
     */
    @JRubyMethod(name = "modulo")
00590     public IRubyObject modulo(ThreadContext context, IRubyObject other) {
        return callMethod(context, "%", other);
    }

    /** num_remainder
     *
     */
    @JRubyMethod(name = "remainder")
00598     public IRubyObject remainder(ThreadContext context, IRubyObject dividend) {
        IRubyObject z = callMethod(context, "%", dividend);
        IRubyObject x = this;
        RubyFixnum zero = RubyFixnum.zero(getRuntime());

        if (!equalInternal(context, z, zero) &&
                ((x.callMethod(context, MethodIndex.OP_LT, "<", zero).isTrue() &&
                dividend.callMethod(context, MethodIndex.OP_GT, ">", zero).isTrue()) ||
                (x.callMethod(context, MethodIndex.OP_GT, ">", zero).isTrue() &&
                dividend.callMethod(context, MethodIndex.OP_LT, "<", zero).isTrue()))) {
            return z.callMethod(context, MethodIndex.OP_MINUS, "-", dividend);
        } else {
            return z;
        }
    }

    /** num_abs
     *
     */
    @JRubyMethod(name = "abs")
00618     public IRubyObject abs(ThreadContext context) {
        if (callMethod(context, MethodIndex.OP_LT, "<", RubyFixnum.zero(getRuntime())).isTrue()) {
            return callMethod(context, "-@");
        }
        return this;
    }
    
    /** num_to_int
     * 
     */
    @JRubyMethod(name = "to_int")
00629     public IRubyObject to_int(ThreadContext context) {
        return RuntimeHelpers.invoke(context, this, "to_i");
    }

    /** num_scalar_p
    *
    */
    @JRubyMethod(name = "scalar?", compat = CompatVersion.RUBY1_9)
00637     public IRubyObject scalar_p() {
        return getRuntime().getTrue();
    }

    /** num_int_p
     *
     */
    @JRubyMethod(name = "integer?")
00645     public IRubyObject integer_p() {
        return getRuntime().getFalse();
    }
    
    /** num_zero_p
     *
     */
    @JRubyMethod(name = "zero?")
00653     public IRubyObject zero_p(ThreadContext context) {
        return equalInternal(context, this, RubyFixnum.zero(getRuntime())) ? getRuntime().getTrue() : getRuntime().getFalse();
    }
    
    /** num_nonzero_p
     *
     */
    @JRubyMethod(name = "nonzero?")
00661     public IRubyObject nonzero_p(ThreadContext context) {
        if (callMethod(context, "zero?").isTrue()) {
            return getRuntime().getNil();
        }
        return this;
    }

    /** num_floor
     *
     */
    @JRubyMethod(name = "floor")
00672     public IRubyObject floor() {
        return convertToFloat().floor();
    }
        
    /** num_ceil
     *
     */
    @JRubyMethod(name = "ceil")
00680     public IRubyObject ceil() {
        return convertToFloat().ceil();
    }

    /** num_round
     *
     */
    @JRubyMethod(name = "round")
00688     public IRubyObject round() {
        return convertToFloat().round();
    }

    /** num_truncate
     *
     */
    @JRubyMethod(name = "truncate")
00696     public IRubyObject truncate() {
        return convertToFloat().truncate();
    }
    
    @JRubyMethod(name = "step", required = 1, optional = 1, frame = true)
    public IRubyObject step(ThreadContext context, IRubyObject[] args, Block block) {
        switch (args.length) {
        case 0: throw context.getRuntime().newArgumentError(0, 1);
        case 1: return step(context, args[0], block);
        case 2: return step(context, args[0], args[1], block);
        default: throw context.getRuntime().newArgumentError(args.length, 2);
        }
    }
    
    @JRubyMethod(name = "step", frame = true)
    public IRubyObject step(ThreadContext context, IRubyObject arg0, Block block) {
        return step(context, arg0, RubyFixnum.one(context.getRuntime()), block);
    }
    
    @JRubyMethod(name = "step", frame = true)
    public IRubyObject step(ThreadContext context, IRubyObject to, IRubyObject step, Block block) {
        if (this instanceof RubyFixnum && to instanceof RubyFixnum && step instanceof RubyFixnum) {
            long value = getLongValue();
            long end = ((RubyFixnum) to).getLongValue();
            long diff = ((RubyFixnum) step).getLongValue();

            if (diff == 0) {
                throw getRuntime().newArgumentError("step cannot be 0");
            }
            if (diff > 0) {
                for (long i = value; i <= end; i += diff) {
                    block.yield(context, RubyFixnum.newFixnum(getRuntime(), i));
                }
            } else {
                for (long i = value; i >= end; i += diff) {
                    block.yield(context, RubyFixnum.newFixnum(getRuntime(), i));
                }
            }
        } else if (this instanceof RubyFloat || to instanceof RubyFloat || step instanceof RubyFloat) {
            double beg = num2dbl(this);
            double end = num2dbl(to);
            double unit = num2dbl(step);

            if (unit == 0) {
                throw getRuntime().newArgumentError("step cannot be 0");
            }           
            
            double n = (end - beg)/unit;
            double err = (Math.abs(beg) + Math.abs(end) + Math.abs(end - beg)) / Math.abs(unit) * DBL_EPSILON;
            
            if (err>0.5) {
                err=0.5;            
            }
            n = Math.floor(n + err) + 1;
            
            for(double i = 0; i < n; i++){
                block.yield(context, RubyFloat.newFloat(getRuntime(), i * unit + beg));
            }

        } else {
            RubyNumeric i = this;
            
            int cmp;
            String cmpString;
            if (((RubyBoolean) step.callMethod(context, MethodIndex.OP_GT, ">", RubyFixnum.zero(getRuntime()))).isTrue()) {
                cmp = MethodIndex.OP_GT;
            } else {
                cmp = MethodIndex.OP_LT;
            }
            cmpString = MethodIndex.NAMES.get(cmp);

            while (true) {
                if (i.callMethod(context, cmp, cmpString, to).isTrue()) {
                    break;
                }
                block.yield(context, i);
                i = (RubyNumeric) i.callMethod(context, MethodIndex.OP_PLUS, "+", step);
            }
        }
        return this;
    }

    /** num_equal, doesn't override RubyObject.op_equal
     *
     */
00781     protected final IRubyObject op_num_equal(ThreadContext context, IRubyObject other) {
        // it won't hurt fixnums
        if (this == other)  return getRuntime().getTrue();

        return other.callMethod(context, MethodIndex.EQUALEQUAL, "==", this);
    }

    /** num_numerator
     * 
     */
    @JRubyMethod(name = "numerator", compat = CompatVersion.RUBY1_9)
00792     public IRubyObject numerator(ThreadContext context) {
        return RubyRational.newRationalConvert(context, this).callMethod(context, "numerator");
    }
    
    /** num_denominator
     * 
     */
    @JRubyMethod(name = "denominator", compat = CompatVersion.RUBY1_9)
00800     public IRubyObject denominator(ThreadContext context) {
        return RubyRational.newRationalConvert(context, this).callMethod(context, "denominator");
    }

    /** numeric_to_c
     * 
     */
    @JRubyMethod(name = "to_c", compat = CompatVersion.RUBY1_9)
00808     public IRubyObject to_c(ThreadContext context) {
        return RubyComplex.newComplexCanonicalize(context, this);
    }

    /** numeric_re
     * 
     */
    @JRubyMethod(name = "re", compat = CompatVersion.RUBY1_9)
00816     public IRubyObject re(ThreadContext context) {
        return RubyComplex.newComplexConvert(context, this);
    }

    /** numeric_im
     * 
     */
    @JRubyMethod(name = "im", compat = CompatVersion.RUBY1_9)
00824     public IRubyObject im(ThreadContext context) {
        return RubyComplex.newComplexConvert(context, RubyFixnum.zero(context.getRuntime()), this);
    }

    /** numeric_real
     * 
     */
    @JRubyMethod(name = "real", compat = CompatVersion.RUBY1_9)
00832     public IRubyObject real(ThreadContext context) {
        return this;
    }

    /** numeric_image
     * 
     */
    @JRubyMethod(name = {"image", "imag"}, compat = CompatVersion.RUBY1_9)
00840     public IRubyObject image(ThreadContext context) {
        return RubyFixnum.zero(context.getRuntime());
    }

    /** numeric_arg
     * 
     */
    @JRubyMethod(name = "arg", compat = CompatVersion.RUBY1_9)
00848     public IRubyObject arg(ThreadContext context) {
        if (!f_negative_p(context, this)) return RubyFixnum.zero(context.getRuntime());
        return context.getRuntime().getMath().fastFetchConstant("PI");
    }    

    /** numeric_polar
     * 
     */
    @JRubyMethod(name = "polar", compat = CompatVersion.RUBY1_9)
00857     public IRubyObject polar(ThreadContext context) {
        return context.getRuntime().newArray(f_abs(context, this), f_arg(context, this));
    }    

    /** numeric_real
     * 
     */
    @JRubyMethod(name = "conjugate", compat = CompatVersion.RUBY1_9)
00865     public IRubyObject conjugate(ThreadContext context) {
        return this;
    }

    public static class InvalidIntegerException extends NumberFormatException {
        private static final long serialVersionUID = 55019452543252148L;
        
        public InvalidIntegerException() {
            super();
        }
        public InvalidIntegerException(String message) {
            super(message);
        }
        public Throwable fillInStackTrace() {
            return this;
        }
    }
    
    public static class NumberTooLargeException extends NumberFormatException {
        private static final long serialVersionUID = -1835120694982699449L;
        public NumberTooLargeException() {
            super();
        }
        public NumberTooLargeException(String message) {
            super(message);
        }
        public Throwable fillInStackTrace() {
            return this;
        }
    }
}

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