When mathn is required, Fixnum's division and exponentiation are enhanced to return more precise values from mathematical expressions.

2/3*3  # => 0
require 'mathn'
2/3*3  # => 2

A Fixnum holds Integer values that can be represented in a native machine word (minus 1 bit). If any operation on a Fixnum exceeds this range, the value is automatically converted to a Bignum.

Fixnum objects have immediate value. This means that when they are assigned or passed as parameters, the actual object is passed, rather than a reference to that object. Assignment does not alias Fixnum objects. There is effectively only one Fixnum object instance for any given integer value, so, for example, you cannot add a singleton method to a Fixnum.

Methods
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Instance Public methods
fix % other → real

Returns fix modulo other. See numeric.divmod for more information.

static VALUE
fix_mod(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        long mod;

        fixdivmod(FIX2LONG(x), FIX2LONG(y), 0, &mod);
        return LONG2NUM(mod);
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        x = rb_int2big(FIX2LONG(x));
        return rb_big_modulo(x, y);
      case T_FLOAT:
        return DBL2NUM(ruby_float_mod((double)FIX2LONG(x), RFLOAT_VALUE(y)));
      default:
        return rb_num_coerce_bin(x, y, '%');
    }
}
fix & integer → integer_result

Bitwise AND.

static VALUE
fix_and(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        long val = FIX2LONG(x) & FIX2LONG(y);
        return LONG2NUM(val);
    }

    if (RB_TYPE_P(y, T_BIGNUM)) {
        return rb_big_and(y, x);
    }

    bit_coerce(&x, &y, TRUE);
    return rb_funcall(x, rb_intern("&"), 1, y);
}
fix * numeric → numeric_result

Performs multiplication: the class of the resulting object depends on the class of numeric and on the magnitude of the result.

static VALUE
fix_mul(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
#ifdef __HP_cc
/* avoids an optimization bug of HP aC++/ANSI C B3910B A.06.05 [Jul 25 2005] */
        volatile
#endif
        long a, b;
#if SIZEOF_LONG * 2 <= SIZEOF_LONG_LONG
        LONG_LONG d;
#else
        VALUE r;
#endif

        a = FIX2LONG(x);
        b = FIX2LONG(y);

#if SIZEOF_LONG * 2 <= SIZEOF_LONG_LONG
        d = (LONG_LONG)a * b;
        if (FIXABLE(d)) return LONG2FIX(d);
        return rb_ll2inum(d);
#else
        if (FIT_SQRT_LONG(a) && FIT_SQRT_LONG(b))
            return LONG2FIX(a*b);
        if (a == 0) return x;
        if (MUL_OVERFLOW_FIXNUM_P(a, b))
            r = rb_big_mul(rb_int2big(a), rb_int2big(b));
        else
            r = LONG2FIX(a * b);
        return r;
#endif
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        return rb_big_mul(y, x);
      case T_FLOAT:
        return DBL2NUM((double)FIX2LONG(x) * RFLOAT_VALUE(y));
      default:
        return rb_num_coerce_bin(x, y, '*');
    }
}
**(other)

Exponentiate by other

Also aliased as: power!
# File lib/mathn.rb, line 78
def ** (other)
  if self < 0 && other.round != other
    Complex(self, 0.0) ** other
  else
    power!(other)
  end
end
fix + numeric → numeric_result

Performs addition: the class of the resulting object depends on the class of numeric and on the magnitude of the result.

static VALUE
fix_plus(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        long a, b, c;
        VALUE r;

        a = FIX2LONG(x);
        b = FIX2LONG(y);
        c = a + b;
        r = LONG2NUM(c);

        return r;
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        return rb_big_plus(y, x);
      case T_FLOAT:
        return DBL2NUM((double)FIX2LONG(x) + RFLOAT_VALUE(y));
      default:
        return rb_num_coerce_bin(x, y, '+');
    }
}
fix - numeric → numeric_result

Performs subtraction: the class of the resulting object depends on the class of numeric and on the magnitude of the result.

static VALUE
fix_minus(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        long a, b, c;
        VALUE r;

        a = FIX2LONG(x);
        b = FIX2LONG(y);
        c = a - b;
        r = LONG2NUM(c);

        return r;
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        x = rb_int2big(FIX2LONG(x));
        return rb_big_minus(x, y);
      case T_FLOAT:
        return DBL2NUM((double)FIX2LONG(x) - RFLOAT_VALUE(y));
      default:
        return rb_num_coerce_bin(x, y, '-');
    }
}
-fix → integer

Negates fix (which might return a Bignum).

static VALUE
fix_uminus(VALUE num)
{
    return LONG2NUM(-FIX2LONG(num));
}
fix / numeric → numeric_result

Performs division: the class of the resulting object depends on the class of numeric and on the magnitude of the result.

static VALUE
fix_div(VALUE x, VALUE y)
{
    return fix_divide(x, y, '/');
}
fix < real → true or false

Returns true if the value of fix is less than that of real.

static VALUE
fix_lt(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        if (FIX2LONG(x) < FIX2LONG(y)) return Qtrue;
        return Qfalse;
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        return FIX2INT(rb_big_cmp(rb_int2big(FIX2LONG(x)), y)) < 0 ? Qtrue : Qfalse;
      case T_FLOAT:
        return rb_integer_float_cmp(x, y) == INT2FIX(-1) ? Qtrue : Qfalse;
      default:
        return rb_num_coerce_relop(x, y, '<');
    }
}
fix << count → integer

Shifts fix left count positions (right if count is negative).

static VALUE
rb_fix_lshift(VALUE x, VALUE y)
{
    long val, width;

    val = NUM2LONG(x);
    if (!FIXNUM_P(y))
        return rb_big_lshift(rb_int2big(val), y);
    width = FIX2LONG(y);
    if (width < 0)
        return fix_rshift(val, (unsigned long)-width);
    return fix_lshift(val, width);
}
fix <= real → true or false

Returns true if the value of fix is less than or equal to that of real.

static VALUE
fix_le(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        if (FIX2LONG(x) <= FIX2LONG(y)) return Qtrue;
        return Qfalse;
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        return FIX2INT(rb_big_cmp(rb_int2big(FIX2LONG(x)), y)) <= 0 ? Qtrue : Qfalse;
      case T_FLOAT:
        {
          VALUE rel = rb_integer_float_cmp(x, y);
          return rel == INT2FIX(-1) || rel == INT2FIX(0) ? Qtrue : Qfalse;
        }
      default:
        return rb_num_coerce_relop(x, y, rb_intern("<="));
    }
}
fix <=> numeric → -1, 0, +1 or nil

Comparison—Returns -1, 0, +1 or nil depending on whether fix is less than, equal to, or greater than numeric. This is the basis for the tests in Comparable.

nil is returned if the two values are incomparable.

static VALUE
fix_cmp(VALUE x, VALUE y)
{
    if (x == y) return INT2FIX(0);
    if (FIXNUM_P(y)) {
        if (FIX2LONG(x) > FIX2LONG(y)) return INT2FIX(1);
        return INT2FIX(-1);
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        return rb_big_cmp(rb_int2big(FIX2LONG(x)), y);
      case T_FLOAT:
        return rb_integer_float_cmp(x, y);
      default:
        return rb_num_coerce_cmp(x, y, rb_intern("<=>"));
    }
}
fix == other → true or false

Return true if fix equals other numerically.

1 == 2      #=> false
1 == 1.0    #=> true
static VALUE
fix_equal(VALUE x, VALUE y)
{
    if (x == y) return Qtrue;
    if (FIXNUM_P(y)) return Qfalse;
    switch (TYPE(y)) {
      case T_BIGNUM:
        return rb_big_eq(y, x);
      case T_FLOAT:
        return rb_integer_float_eq(x, y);
      default:
        return num_equal(x, y);
    }
}
fix == other → true or false

Return true if fix equals other numerically.

1 == 2      #=> false
1 == 1.0    #=> true
static VALUE
fix_equal(VALUE x, VALUE y)
{
    if (x == y) return Qtrue;
    if (FIXNUM_P(y)) return Qfalse;
    switch (TYPE(y)) {
      case T_BIGNUM:
        return rb_big_eq(y, x);
      case T_FLOAT:
        return rb_integer_float_eq(x, y);
      default:
        return num_equal(x, y);
    }
}
fix > real → true or false

Returns true if the value of fix is greater than that of real.

static VALUE
fix_gt(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        if (FIX2LONG(x) > FIX2LONG(y)) return Qtrue;
        return Qfalse;
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        return FIX2INT(rb_big_cmp(rb_int2big(FIX2LONG(x)), y)) > 0 ? Qtrue : Qfalse;
      case T_FLOAT:
        return rb_integer_float_cmp(x, y) == INT2FIX(1) ? Qtrue : Qfalse;
      default:
        return rb_num_coerce_relop(x, y, '>');
    }
}
fix >= real → true or false

Returns true if the value of fix is greater than or equal to that of real.

static VALUE
fix_ge(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        if (FIX2LONG(x) >= FIX2LONG(y)) return Qtrue;
        return Qfalse;
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        return FIX2INT(rb_big_cmp(rb_int2big(FIX2LONG(x)), y)) >= 0 ? Qtrue : Qfalse;
      case T_FLOAT:
        {
          VALUE rel = rb_integer_float_cmp(x, y);
          return rel == INT2FIX(1) || rel == INT2FIX(0) ? Qtrue : Qfalse;
        }
      default:
        return rb_num_coerce_relop(x, y, rb_intern(">="));
    }
}
fix >> count → integer

Shifts fix right count positions (left if count is negative).

static VALUE
rb_fix_rshift(VALUE x, VALUE y)
{
    long i, val;

    val = FIX2LONG(x);
    if (!FIXNUM_P(y))
        return rb_big_rshift(rb_int2big(val), y);
    i = FIX2LONG(y);
    if (i == 0) return x;
    if (i < 0)
        return fix_lshift(val, (unsigned long)-i);
    return fix_rshift(val, i);
}
fix[n] → 0, 1

Bit Reference—Returns the nth bit in the binary representation of fix, where fix is the least significant bit.

a = 0b11001100101010
30.downto(0) do |n| print a[n] end

produces:

0000000000000000011001100101010
static VALUE
fix_aref(VALUE fix, VALUE idx)
{
    long val = FIX2LONG(fix);
    long i;

    idx = rb_to_int(idx);
    if (!FIXNUM_P(idx)) {
        idx = rb_big_norm(idx);
        if (!FIXNUM_P(idx)) {
            if (!RBIGNUM_SIGN(idx) || val >= 0)
                return INT2FIX(0);
            return INT2FIX(1);
        }
    }
    i = FIX2LONG(idx);

    if (i < 0) return INT2FIX(0);
    if (SIZEOF_LONG*CHAR_BIT-1 < i) {
        if (val < 0) return INT2FIX(1);
        return INT2FIX(0);
    }
    if (val & (1L<<i))
        return INT2FIX(1);
    return INT2FIX(0);
}
fix ^ integer → integer_result

Bitwise EXCLUSIVE OR.

static VALUE
fix_xor(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        long val = FIX2LONG(x) ^ FIX2LONG(y);
        return LONG2NUM(val);
    }

    if (RB_TYPE_P(y, T_BIGNUM)) {
        return rb_big_xor(y, x);
    }

    bit_coerce(&x, &y, TRUE);
    return rb_funcall(x, rb_intern("^"), 1, y);
}
fix.abs → integer

Returns the absolute value of fix.

-12345.abs   #=> 12345
12345.abs    #=> 12345
static VALUE
fix_abs(VALUE fix)
{
    long i = FIX2LONG(fix);

    if (i < 0) i = -i;

    return LONG2NUM(i);
}
dclone()

provides a unified clone operation, for REXML::XPathParser to use across multiple Object types

# File lib/rexml/xpath_parser.rb, line 22
def dclone ; self ; end
fix.div(numeric) → integer

Performs integer division: returns integer value.

static VALUE
fix_idiv(VALUE x, VALUE y)
{
    return fix_divide(x, y, rb_intern("div"));
}
fix.divmod(numeric) → array

See Numeric#divmod.

static VALUE
fix_divmod(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        long div, mod;

        fixdivmod(FIX2LONG(x), FIX2LONG(y), &div, &mod);

        return rb_assoc_new(LONG2NUM(div), LONG2NUM(mod));
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        x = rb_int2big(FIX2LONG(x));
        return rb_big_divmod(x, y);
      case T_FLOAT:
        {
            double div, mod;
            volatile VALUE a, b;

            flodivmod((double)FIX2LONG(x), RFLOAT_VALUE(y), &div, &mod);
            a = dbl2ival(div);
            b = DBL2NUM(mod);
            return rb_assoc_new(a, b);
        }
      default:
        return rb_num_coerce_bin(x, y, rb_intern("divmod"));
    }
}
fix.even? → true or false

Returns true if fix is an even number.

static VALUE
fix_even_p(VALUE num)
{
    if (num & 2) {
        return Qfalse;
    }
    return Qtrue;
}
fix.fdiv(numeric) → float

Returns the floating point result of dividing fix by numeric.

654321.fdiv(13731)      #=> 47.6528293642124
654321.fdiv(13731.24)   #=> 47.6519964693647
static VALUE
fix_fdiv(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        return DBL2NUM((double)FIX2LONG(x) / (double)FIX2LONG(y));
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        return rb_big_fdiv(rb_int2big(FIX2LONG(x)), y);
      case T_FLOAT:
        return DBL2NUM((double)FIX2LONG(x) / RFLOAT_VALUE(y));
      default:
        return rb_num_coerce_bin(x, y, rb_intern("fdiv"));
    }
}
inspect(p1 = v1)
Alias for: to_s
fix.magnitude → integer

Returns the absolute value of fix.

-12345.abs   #=> 12345
12345.abs    #=> 12345
static VALUE
fix_abs(VALUE fix)
{
    long i = FIX2LONG(fix);

    if (i < 0) i = -i;

    return LONG2NUM(i);
}
fix.modulo(other) → real

Returns fix modulo other. See numeric.divmod for more information.

static VALUE
fix_mod(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        long mod;

        fixdivmod(FIX2LONG(x), FIX2LONG(y), 0, &mod);
        return LONG2NUM(mod);
    }
    switch (TYPE(y)) {
      case T_BIGNUM:
        x = rb_int2big(FIX2LONG(x));
        return rb_big_modulo(x, y);
      case T_FLOAT:
        return DBL2NUM(ruby_float_mod((double)FIX2LONG(x), RFLOAT_VALUE(y)));
      default:
        return rb_num_coerce_bin(x, y, '%');
    }
}
fix.odd? → true or false

Returns true if fix is an odd number.

static VALUE
fix_odd_p(VALUE num)
{
    if (num & 2) {
        return Qtrue;
    }
    return Qfalse;
}
power!(other)
Alias for: **
fix.size → fixnum

Returns the number of bytes in the machine representation of a Fixnum.

1.size            #=> 4
-1.size           #=> 4
2147483647.size   #=> 4
static VALUE
fix_size(VALUE fix)
{
    return INT2FIX(sizeof(long));
}
fixnum.next → integer
fixnum.succ → integer

Returns the Integer equal to int + 1.

1.next      #=> 2
(-1).next   #=> 0
static VALUE
fix_succ(VALUE num)
{
    long i = FIX2LONG(num) + 1;
    return LONG2NUM(i);
}
fix.to_f → float

Converts fix to a Float.

static VALUE
fix_to_f(VALUE num)
{
    double val;

    val = (double)FIX2LONG(num);

    return DBL2NUM(val);
}
fix.to_s(base=10) → string

Returns a string containing the representation of fix radix base (between 2 and 36).

12345.to_s       #=> "12345"
12345.to_s(2)    #=> "11000000111001"
12345.to_s(8)    #=> "30071"
12345.to_s(10)   #=> "12345"
12345.to_s(16)   #=> "3039"
12345.to_s(36)   #=> "9ix"
Also aliased as: inspect
static VALUE
fix_to_s(int argc, VALUE *argv, VALUE x)
{
    int base;

    if (argc == 0) base = 10;
    else {
        VALUE b;

        rb_scan_args(argc, argv, "01", &b);
        base = NUM2INT(b);
    }

    return rb_fix2str(x, base);
}
fix.zero? → true or false

Returns true if fix is zero.

static VALUE
fix_zero_p(VALUE num)
{
    if (FIX2LONG(num) == 0) {
        return Qtrue;
    }
    return Qfalse;
}
fix | integer → integer_result

Bitwise OR.

static VALUE
fix_or(VALUE x, VALUE y)
{
    if (FIXNUM_P(y)) {
        long val = FIX2LONG(x) | FIX2LONG(y);
        return LONG2NUM(val);
    }

    if (RB_TYPE_P(y, T_BIGNUM)) {
        return rb_big_or(y, x);
    }

    bit_coerce(&x, &y, TRUE);
    return rb_funcall(x, rb_intern("|"), 1, y);
}
~fix → integer

One's complement: returns a number where each bit is flipped.

static VALUE
fix_rev(VALUE num)
{
    return ~num | FIXNUM_FLAG;
}