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	description: "Real values, double precision"
	status: "See notice at end of class"
	date: "$Date: 2001-11-16 20:32:23 +0000 (Fri, 16 Nov 2001) $"
	revision: "$Revision: 51435 $"

expanded class 
	DOUBLE

feature -- Access

	hash_code: INTEGER is
			-- Hash code value
			-- (from DOUBLE_REF)
		do
			Result := truncated_to_integer.hash_code
		ensure -- from HASHABLE
			good_hash_value: Result >= 0
		end

	item: DOUBLE
			-- Numeric double value
			-- (from DOUBLE_REF)

	one: like Current is
			-- Neutral element for "*" and "/"
			-- (from DOUBLE_REF)
		do
			create Result
			Result.set_item (1.0)
		ensure -- from NUMERIC
			result_exists: Result /= void
		end

	sign: INTEGER is
			-- Sign value (0, -1 or 1)
			-- (from DOUBLE_REF)
		do
			if item > 0.0 then
				Result := 1
			elseif item < 0.0 then
				Result := - 1
			end
		ensure -- from DOUBLE_REF
			three_way: Result = three_way_comparison (zero)
		end

	zero: like Current is
			-- Neutral element for "+" and "-"
			-- (from DOUBLE_REF)
		do
			create Result
			Result.set_item (0.0)
		ensure -- from NUMERIC
			result_exists: Result /= void
		end
	
feature -- Comparison

	is_equal (other: like Current): BOOLEAN is
			-- Is other attached to an object of the same type
			-- as current object and identical to it?
			-- (from DOUBLE_REF)
		require -- from ANY
			other_not_void: other /= void
		do
			Result := other.item = item
		ensure -- from ANY
			symmetric: Result implies other.is_equal (Current)
			consistent: standard_is_equal (other) implies Result
		ensure then -- from COMPARABLE
			trichotomy: Result = (not (Current < other) and not (other < Current))
		end

	max (other: like Current): like Current is
			-- The greater of current object and other
			-- (from COMPARABLE)
		require -- from COMPARABLE
			other_exists: other /= void
		do
			if Current >= other then
				Result := Current
			else
				Result := other
			end
		ensure -- from COMPARABLE
			current_if_not_smaller: Current >= other implies Result = Current
			other_if_smaller: Current < other implies Result = other
		end

	min (other: like Current): like Current is
			-- The smaller of current object and other
			-- (from COMPARABLE)
		require -- from COMPARABLE
			other_exists: other /= void
		do
			if Current <= other then
				Result := Current
			else
				Result := other
			end
		ensure -- from COMPARABLE
			current_if_not_greater: Current <= other implies Result = Current
			other_if_greater: Current > other implies Result = other
		end

	three_way_comparison (other: DOUBLE_REF): INTEGER is
			-- If current object equal to other, 0;
			-- if smaller, -1; if greater, 1
			-- (from DOUBLE_REF)
		require -- from COMPARABLE
			other_exists: other /= void
		do
			if item < other.item then
				Result := - 1
			elseif other.item < item then
				Result := 1
			end
		ensure -- from COMPARABLE
			equal_zero: (Result = 0) = is_equal (other)
			smaller_negative: (Result = - 1) = (Current < other)
			greater_positive: (Result = 1) = (Current > other)
		end

	infix "<" (other: like Current): BOOLEAN is
			-- Is other greater than current double?
			-- (from DOUBLE_REF)
		require -- from PART_COMPARABLE
			other_exists: other /= void
		do
			Result := item < other.item
		ensure then -- from COMPARABLE
			asymmetric: Result implies not (other < Current)
		end

	infix "<=" (other: like Current): BOOLEAN is
			-- Is current object less than or equal to other?
			-- (from COMPARABLE)
		require -- from PART_COMPARABLE
			other_exists: other /= void
		do
			Result := not (other < Current)
		ensure then -- from COMPARABLE
			definition: Result = ((Current < other) or is_equal (other))
		end

	infix ">" (other: like Current): BOOLEAN is
			-- Is current object greater than other?
			-- (from COMPARABLE)
		require -- from PART_COMPARABLE
			other_exists: other /= void
		do
			Result := other < Current
		ensure then -- from COMPARABLE
			definition: Result = (other < Current)
		end

	infix ">=" (other: like Current): BOOLEAN is
			-- Is current object greater than or equal to other?
			-- (from COMPARABLE)
		require -- from PART_COMPARABLE
			other_exists: other /= void
		do
			Result := not (Current < other)
		ensure then -- from COMPARABLE
			definition: Result = (other <= Current)
		end
	
feature -- Status report

	divisible (other: DOUBLE_REF): BOOLEAN is
			-- May current object be divided by other?
			-- (from DOUBLE_REF)
		require -- from NUMERIC
			other_exists: other /= void
		do
			Result := other.item /= 0.0
		ensure then -- from DOUBLE_REF
			not_exact_zero: Result implies (other.item /= 0.0)
		end

	exponentiable (other: NUMERIC): BOOLEAN is
			-- May current object be elevated to the power other?
			-- (from DOUBLE_REF)
		require -- from NUMERIC
			other_exists: other /= void
		local
			integer_value: INTEGER_REF
			double_value: DOUBLE_REF
			real_value: REAL_REF
		do
			integer_value ?= other
			real_value ?= other
			double_value ?= other
			if integer_value /= void then
				Result := integer_value.item >= 0 or item /= 0.0
			elseif real_value /= void then
				Result := real_value.item >= 0.0 or item /= 0.0
			elseif double_value /= void then
				Result := double_value.item >= 0.0 or item /= 0.0
			end
		ensure then -- from DOUBLE_REF
			safe_values: ((other.conforms_to (0) and item /= 0.0) or (other.conforms_to (0.0) and item > 0.0)) implies Result
		end

	is_hashable: BOOLEAN is
			-- May current object be hashed?
			-- (True if it is not its type's default.)
			-- (from DOUBLE_REF)
		do
			Result := item /= 0.0
		ensure -- from HASHABLE
			ok_if_not_default: Result implies (Current /= default)
		end
	
feature -- Element change

	set_item (d: DOUBLE) is
			-- Make d the item value.
			-- (from DOUBLE_REF)
		do
			item := d
		end
	
feature -- Conversion

	ceiling: INTEGER is
			-- Smallest integral value no smaller than current object
			-- (from DOUBLE_REF)
		do
			Result := c_ceiling (item).truncated_to_integer
		ensure -- from DOUBLE_REF
			result_no_smaller: Result >= item
			close_enough: Result - item < item.one
		end

	floor: INTEGER is
			-- Greatest integral value no greater than current object
			-- (from DOUBLE_REF)
		do
			Result := c_floor (item).truncated_to_integer
		ensure -- from DOUBLE_REF
			result_no_greater: Result <= item
			close_enough: item - Result < Result.one
		end

	rounded: INTEGER is
			-- Rounded integral value
			-- (from DOUBLE_REF)
		do
			Result := sign * (c_floor (abs_ref.item + 0.5).truncated_to_integer)
		ensure -- from DOUBLE_REF
			definition: Result = sign * ((abs + 0.5).floor)
		end

	truncated_to_integer: INTEGER is
			-- Integer part (Same sign, largest absolute
			-- value no greater than current object's)
			-- (from DOUBLE_REF)
		do
			Result := c_truncated_to_integer (item)
		end

	truncated_to_real: REAL is
			-- Real part (Same sign, largest absolute
			-- value no greater than current object's)
			-- (from DOUBLE_REF)
		do
			Result := c_truncated_to_real (item)
		end
	
feature -- Basic operations

	abs: DOUBLE is
			-- Absolute value
			-- (from DOUBLE_REF)
		do
			Result := abs_ref.item
		ensure -- from DOUBLE_REF
			non_negative: Result >= 0.0
			same_absolute_value: (Result = item) or (Result = - item)
		end

	infix "*" (other: like Current): like Current is
			-- Product with other
			-- (from DOUBLE_REF)
		require -- from NUMERIC
			other_exists: other /= void
		do
			create Result
			Result.set_item (item * other.item)
		ensure -- from NUMERIC
			result_exists: Result /= void
		end

	prefix "+": like Current is
			-- Unary plus
			-- (from DOUBLE_REF)
		do
			create Result
			Result.set_item (+ item)
		ensure -- from NUMERIC
			result_exists: Result /= void
		end

	infix "+" (other: like Current): like Current is
			-- Sum with other
			-- (from DOUBLE_REF)
		require -- from NUMERIC
			other_exists: other /= void
		do
			create Result
			Result.set_item (item + other.item)
		ensure -- from NUMERIC
			result_exists: Result /= void
			commutative: equal (Result, other + Current)
		end

	prefix "-": like Current is
			-- Unary minus
			-- (from DOUBLE_REF)
		do
			create Result
			Result.set_item (- item)
		ensure -- from NUMERIC
			result_exists: Result /= void
		end

	infix "-" (other: like Current): like Current is
			-- Result of subtracting other
			-- (from DOUBLE_REF)
		require -- from NUMERIC
			other_exists: other /= void
		do
			create Result
			Result.set_item (item - other.item)
		ensure -- from NUMERIC
			result_exists: Result /= void
		end

	infix "/" (other: like Current): like Current is
			-- Division by other
			-- (from DOUBLE_REF)
		require -- from NUMERIC
			other_exists: other /= void
			good_divisor: divisible (other)
		do
			create Result
			Result.set_item (item / other.item)
		ensure -- from NUMERIC
			result_exists: Result /= void
		end

	infix "^" (other: NUMERIC): DOUBLE is
			-- Current double to the power other
			-- (from DOUBLE_REF)
		local
			integer_value: INTEGER_REF
			real_value: REAL_REF
			double_value: DOUBLE_REF
		do
			integer_value ?= other
			real_value ?= other
			double_value ?= other
			if integer_value /= void then
				Result := item ^ integer_value.item
			elseif real_value /= void then
				Result := item ^ real_value.item
			elseif double_value /= void then
				Result := item ^ double_value.item
			end
		end
	
feature {NONE} -- Implementation

	abs_ref: DOUBLE_REF is
			-- Absolute value
			-- (from DOUBLE_REF)
		do
			if item >= 0.0 then
				Result := Current
			else
				Result := - Current
			end
		ensure -- from DOUBLE_REF
			result_exists: Result /= void
			same_absolute_value: equal (Result, Current) or equal (Result, - Current)
		end

	c_ceiling (d: DOUBLE): DOUBLE is
			-- Smallest integral value no smaller than d
			-- (from DOUBLE_REF)
		external
			"C | <math.h>"
		alias
			"ceil"
		end

	c_floor (d: DOUBLE): DOUBLE is
			-- Greatest integral value no greater than d
			-- (from DOUBLE_REF)
		external
			"C | <math.h>"
		alias
			"floor"
		end

	c_outd (d: DOUBLE): STRING is
			-- Printable representation of double value
			-- (from DOUBLE_REF)
		external
			"C | %"eif_out.h%""
		end

	c_truncated_to_integer (d: DOUBLE): INTEGER is
			-- Integer part of d (same sign, largest absolute
			-- value no greater than d's)
			-- (from DOUBLE_REF)
		external
			"C [macro %"eif_misc.h%"]"
		alias
			"conv_di"
		end

	c_truncated_to_real (d: DOUBLE): REAL is
			-- Real part of d (same sign, largest absolute
			-- value no greater than d's)
			-- (from DOUBLE_REF)
		external
			"C [macro %"eif_misc.h%"]"
		alias
			"conv_dr"
		end
	
feature -- Output

	out: STRING is
			-- Printable representation of double value
			-- (from DOUBLE_REF)
		do
			Result := c_outd (item)
		end
	
invariant

		-- from ANY
	reflexive_equality: standard_is_equal (Current)
	reflexive_conformance: conforms_to (Current)
		-- from DOUBLE_REF
	sign_times_abs: sign * abs = item
		-- from COMPARABLE
	irreflexive_comparison: not (Current < Current)

indexing
	library: "[
			EiffelBase: Library of reusable components for Eiffel.
	]"
	status: "[
			Copyright 1986-2001 Interactive Software Engineering (ISE).
			For ISE customers the original versions are an ISE product
			covered by the ISE Eiffel license and support agreements.
	]"
	license: "[
			EiffelBase may now be used by anyone as FREE SOFTWARE to
			develop any product, public-domain or commercial, without
			payment to ISE, under the terms of the ISE Free Eiffel Library
			License (IFELL) at http://eiffel.com/products/base/license.html.
	]"
	source: "[
			Interactive Software Engineering Inc.
			ISE Building
			360 Storke Road, Goleta, CA 93117 USA
			Telephone 805-685-1006, Fax 805-685-6869
			Electronic mail <info@eiffel.com>
			Customer support http://support.eiffel.com
	]"
	info: "[
			For latest info see award-winning pages: http://eiffel.com
	]"

end -- class DOUBLE


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