note
	description: "Real values, double precision."
	external_name: "System.Double"
	assembly: "mscorlib"
	library: "Free implementation of ELKS library"
	status: "See notice at end of class."
	legal: "See notice at end of class."
	date: "$Date: 2020-04-15 18:06:04 +0000 (Wed, 15 Apr 2020) $"
	revision: "$Revision: 104046 $"

frozen expanded class 
	REAL_64

create 
	default_create,
	make_from_reference

convert
	make_from_reference ({REAL_64_REF})

feature {NONE} -- Initialization

	default_create
			-- Process instances of classes with no creation clause.
			-- (Default: do nothing.)
			-- (from ANY)
		do
		end
	
feature -- Access

	Epsilon: REAL_64 = 2.2250738585072013830903e-308
			-- Minimum normalized positive floating-point number.
			-- (from REAL_64_REF)

	generating_type: TYPE [detachable REAL_64]
			-- Type of current object
			-- (type of which it is a direct instance)
			-- (from ANY)
		external
			"built_in"
		ensure -- from ANY
			generating_type_not_void: Result /= Void
		end

	generator: STRING_8
			-- Name of current object's generating class
			-- (base class of the type of which it is a direct instance)
			-- (from ANY)
		external
			"built_in"
		ensure -- from ANY
			generator_not_void: Result /= Void
			generator_not_empty: not Result.is_empty
		end

	hash_code: INTEGER_32
			-- Hash code value
			-- (from REAL_64_REF)
		do
			Result := truncated_to_integer.hash_code
		ensure -- from HASHABLE
			good_hash_value: Result >= 0
		end

	item: REAL_64
			-- Numeric double value
			-- (from REAL_64_REF)


	Machine_epsilon: REAL_64 = 2.2204460492503130808473e-016
			-- The difference between 1 and the least value greater than
			-- 1 that is representable in the given floating point type.
			-- (from REAL_64_REF)

	Max_value: REAL_64 = 1.7976931348623157081452e+308
			-- Minimum and Maximum value hold in item.
			-- (from REAL_64_REF)

	Min_value: REAL_64 = -1.7976931348623157081452e+308
			-- (from REAL_64_REF)

	nan: REAL_64
			-- Representation of not a number (NaN)
			-- (from REAL_64_REF)
		external
			"built_in static"
		ensure -- from REAL_64_REF
			is_class: class
		end

	negative_infinity: REAL_64
			-- Representation of negative infinity
			-- (from REAL_64_REF)
		external
			"built_in static"
		ensure -- from REAL_64_REF
			is_class: class
		end

	one: REAL_64
			-- Neutral element for "*" and "/"
			-- (from REAL_64_REF)
		do
			create Result;
			Result.set_item (1.0)
		ensure -- from NUMERIC
			result_exists: Result /= Void
		end

	positive_infinity: REAL_64
			-- Representation of positive infinity
			-- (from REAL_64_REF)
		external
			"built_in static"
		ensure -- from REAL_64_REF
			is_class: class
		end

	sign: INTEGER_32
			-- Sign value (0, -1 or 1)
			-- (from REAL_64_REF)
		do
			if item > 0.0 then
				Result := 1
			elseif item < 0.0 then
				Result := -1
			end
		ensure -- from REAL_64_REF
			three_way: Result = three_way_comparison (zero)
		end

	zero: REAL_64
			-- Neutral element for "+" and "-"
			-- (from REAL_64_REF)
		do
			create Result;
			Result.set_item (0.0)
		ensure -- from NUMERIC
			result_exists: Result /= Void
		end
	
feature -- Comparison

	frozen deep_equal (a: detachable ANY; b: like arg #1): BOOLEAN
			-- Are a and b either both void
			-- or attached to isomorphic object structures?
			-- (from ANY)
		do
			if a = Void then
				Result := b = Void
			else
				Result := b /= Void and then a.is_deep_equal (b)
			end
		ensure -- from ANY
			instance_free: class
			shallow_implies_deep: standard_equal (a, b) implies Result
			both_or_none_void: (a = Void) implies (Result = (b = Void))
			same_type: (Result and (a /= Void)) implies (b /= Void and then a.same_type (b))
			symmetric: Result implies deep_equal (b, a)
		end

	frozen equal (a: detachable ANY; b: like arg #1): BOOLEAN
			-- Are a and b either both void or attached
			-- to objects considered equal?
			-- (from ANY)
		do
			if a = Void then
				Result := b = Void
			else
				Result := b /= Void and then a.is_equal (b)
			end
		ensure -- from ANY
			instance_free: class
			definition: Result = (a = Void and b = Void) or else ((a /= Void and b /= Void) and then a.is_equal (b))
		end

	frozen is_deep_equal alias "≡≡≡" (other: REAL_64): BOOLEAN
			-- Are Current and other attached to isomorphic object structures?
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
		external
			"built_in"
		ensure -- from ANY
			shallow_implies_deep: standard_is_equal (other) implies Result
			same_type: Result implies same_type (other)
			symmetric: Result implies other.is_deep_equal (Current)
		end

	is_equal (other: REAL_64): BOOLEAN
			-- Is other attached to an object of the same type
			-- as current object and identical to it?
			-- (from REAL_64_REF)
		require -- from ANY
			other_not_void: other /= Void
		do
			Result := other.item = item
		ensure -- from ANY
			symmetric: Result implies other ~ Current
			consistent: standard_is_equal (other) implies Result
		ensure then -- from COMPARABLE
			trichotomy: Result = (not (Current < other) and not (other < Current))
		end

	is_greater alias ">" (other: REAL_64): BOOLEAN
			-- 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

	is_greater_equal alias ">=" alias "≥" (other: REAL_64): BOOLEAN
			-- 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

	is_less alias "<" (other: REAL_64): BOOLEAN
			-- Is other greater than current double?
			-- See also: ieee_is_less.
		require -- from PART_COMPARABLE
			other_exists: other /= Void
		do
			Result := Precursor (other)
		ensure then -- from COMPARABLE
			asymmetric: Result implies not (other < Current)
		end

	is_less_equal alias "<=" alias "≤" (other: REAL_64): BOOLEAN
			-- 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 (Current ~ other))
		end

	max alias "∨" (other: REAL_64): REAL_64
			-- 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 alias "∧" (other: REAL_64): REAL_64
			-- 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

	frozen standard_equal (a: detachable ANY; b: like arg #1): BOOLEAN
			-- Are a and b either both void or attached to
			-- field-by-field identical objects of the same type?
			-- Always uses default object comparison criterion.
			-- (from ANY)
		do
			if a = Void then
				Result := b = Void
			else
				Result := b /= Void and then a.standard_is_equal (b)
			end
		ensure -- from ANY
			instance_free: class
			definition: Result = (a = Void and b = Void) or else ((a /= Void and b /= Void) and then a.standard_is_equal (b))
		end

	frozen standard_is_equal alias "≜" (other: REAL_64): BOOLEAN
			-- Is other attached to an object of the same type
			-- as current object, and field-by-field identical to it?
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
		external
			"built_in"
		ensure -- from ANY
			same_type: Result implies same_type (other)
			symmetric: Result implies other.standard_is_equal (Current)
		end

	three_way_comparison alias "⋚" (other: REAL_64): INTEGER_32
			-- If current object equal to other, 0;
			-- if smaller, -1; if greater, 1
			-- (from COMPARABLE)
		require -- from COMPARABLE
			other_exists: other /= Void
		do
			if Current < other then
				Result := -1
			elseif other < Current then
				Result := 1
			end
		ensure -- from COMPARABLE
			equal_zero: (Result = 0) = (Current ~ other)
			smaller_negative: (Result = -1) = (Current < other)
			greater_positive: (Result = 1) = (Current > other)
		end
	
feature -- Status report

	conforms_to (other: ANY): BOOLEAN
			-- Does type of current object conform to type
			-- of other (as per Eiffel: The Language, chapter 13)?
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
		external
			"built_in"
		end

	divisible (other: REAL_64_REF): BOOLEAN
			-- May current object be divided by other?
			-- (from REAL_64_REF)
		require -- from NUMERIC
			other_exists: other /= Void
		do
			Result := other.item /= 0.0
		ensure then -- from REAL_64_REF
			not_exact_zero: Result implies (other.item /= 0.0)
		end

	exponentiable (other: NUMERIC): BOOLEAN
			-- May current object be elevated to the power other?
			-- (from REAL_64_REF)
		require -- from NUMERIC
			other_exists: other /= Void
		do
			if attached {INTEGER_32_REF} other as integer_value then
				Result := integer_value.item >= 0 or item /= 0.0
			elseif attached {REAL_32_REF} other as real_value then
				Result := real_value.item >= 0.0 or item /= 0.0
			elseif attached {REAL_64_REF} other as double_value then
				Result := double_value.item >= 0.0 or item /= 0.0
			end
		ensure then -- from REAL_64_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
			-- May current object be hashed?
			-- (True if it is not its type's default.)
			-- (from REAL_64_REF)
		do
			Result := item /= 0.0
		end

	same_type (other: ANY): BOOLEAN
			-- Is type of current object identical to type of other?
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
		external
			"built_in"
		ensure -- from ANY
			definition: Result = (conforms_to (other) and other.conforms_to (Current))
		end
	
feature -- Element change

	set_item (d: REAL_64)
			-- Make d the item value.
			-- (from REAL_64_REF)
		do
			item := d
		end
	
feature -- Conversion

	ceiling: INTEGER_32
			-- Smallest integral value no smaller than current object
			-- (from REAL_64_REF)
		do
			Result := ceiling_real_64.truncated_to_integer
		ensure -- from REAL_64_REF
			result_no_smaller: Result.to_double >= item
			close_enough: Result.to_double - item < item.one
		end

	ceiling_real_64: REAL_64
			-- Smallest integral value no smaller than current object
		do
			Result := Precursor
		ensure -- from REAL_64_REF
			result_no_smaller: Result >= item
			close_enough: Result - item < item.one
		end

	floor: INTEGER_32
			-- Greatest integral value no greater than current object
			-- (from REAL_64_REF)
		do
			Result := floor_real_64.truncated_to_integer
		ensure -- from REAL_64_REF
			result_no_greater: Result.to_double <= item
			close_enough: item - Result.to_double < Result.one.to_double
		end

	floor_real_64: REAL_64
			-- Greatest integral value no greater than current object
		do
			Result := Precursor
		ensure -- from REAL_64_REF
			result_no_greater: Result <= item
			close_enough: item - Result < Result.one
		end

	rounded: INTEGER_32
			-- Rounded integral value
			-- (from REAL_64_REF)
		do
			Result := sign * (abs + 0.5).floor
		ensure -- from REAL_64_REF
			definition: Result = sign * (abs + 0.5).floor
		end

	rounded_real_64: REAL_64
			-- Rounded integral value
			-- (from REAL_64_REF)
		do
			Result := sign.to_double * (abs + 0.5).floor_real_64
		ensure -- from REAL_64_REF
			definition: Result = sign.to_double * (abs + 0.5).floor_real_64
		end

	to_reference: REAL_64_REF
			-- Associated reference of Current
			-- (from REAL_64_REF)
		do
			create Result;
			Result.set_item (item)
		ensure -- from REAL_64_REF
			to_reference_not_void: Result /= Void
		end

	truncated_to_integer: INTEGER_32
			-- Integer part (Same sign, largest absolute
			-- value no greater than current object's)
		do
			Result := Precursor
		end

	truncated_to_integer_64: INTEGER_64
			-- Integer part (Same sign, largest absolute
			-- value no greater than current object's)
		do
			Result := Precursor
		end

	truncated_to_real: REAL_32
			-- Real part (Same sign, largest absolute
			-- value no greater than current object's)
		do
			Result := Precursor
		end
	
feature {NONE} -- Conversion

	make_from_reference (v: REAL_64_REF)
			-- Initialize Current with v.item.
			-- (from REAL_64_REF)
		require -- from REAL_64_REF
			v_not_void: v /= Void
		do
			set_item (v.item)
		ensure -- from REAL_64_REF
			item_set: item = v.item
		end
	
feature -- Duplication

	frozen clone (other: detachable ANY): like other
		obsolete "Use `twin' instead. [2017-05-31]"
			-- Void if other is void; otherwise new object
			-- equal to other
			--
			-- For non-void other, clone calls copy;
			-- to change copying/cloning semantics, redefine copy.
			-- (from ANY)
		do
			if other /= Void then
				Result := other.twin
			end
		ensure -- from ANY
			instance_free: class
			equal: Result ~ other
		end

	copy (other: REAL_64)
			-- Update current object using fields of object attached
			-- to other, so as to yield equal objects.
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
			type_identity: same_type (other)
		external
			"built_in"
		ensure -- from ANY
			is_equal: Current ~ other
		end

	frozen deep_clone (other: detachable ANY): like other
		obsolete "Use `deep_twin' instead. [2017-05-31]"
			-- Void if other is void: otherwise, new object structure
			-- recursively duplicated from the one attached to other
			-- (from ANY)
		do
			if other /= Void then
				Result := other.deep_twin
			end
		ensure -- from ANY
			instance_free: class
			deep_equal: deep_equal (other, Result)
		end

	frozen deep_copy (other: REAL_64)
			-- Effect equivalent to that of:
			--		copy (other . deep_twin)
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
		do
			copy (other.deep_twin)
		ensure -- from ANY
			deep_equal: deep_equal (Current, other)
		end

	frozen deep_twin: REAL_64
			-- New object structure recursively duplicated from Current.
			-- (from ANY)
		external
			"built_in"
		ensure -- from ANY
			deep_twin_not_void: Result /= Void
			deep_equal: deep_equal (Current, Result)
		end

	frozen standard_clone (other: detachable ANY): like other
		obsolete "Use `standard_twin' instead. [2017-05-31]"
			-- Void if other is void; otherwise new object
			-- field-by-field identical to other.
			-- Always uses default copying semantics.
			-- (from ANY)
		do
			if other /= Void then
				Result := other.standard_twin
			end
		ensure -- from ANY
			instance_free: class
			equal: standard_equal (Result, other)
		end

	frozen standard_copy (other: REAL_64)
			-- Copy every field of other onto corresponding field
			-- of current object.
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
			type_identity: same_type (other)
		external
			"built_in"
		ensure -- from ANY
			is_standard_equal: standard_is_equal (other)
		end

	frozen standard_twin: REAL_64
			-- New object field-by-field identical to other.
			-- Always uses default copying semantics.
			-- (from ANY)
		external
			"built_in"
		ensure -- from ANY
			standard_twin_not_void: Result /= Void
			equal: standard_equal (Result, Current)
		end

	frozen twin: REAL_64
			-- New object equal to Current
			-- twin calls copy; to change copying/twinning semantics, redefine copy.
			-- (from ANY)
		external
			"built_in"
		ensure -- from ANY
			twin_not_void: Result /= Void
			is_equal: Result ~ Current
		end
	
feature -- Basic operations

	abs: REAL_64
			-- Absolute value
			-- (from REAL_64_REF)
		do
			Result := abs_ref.item
		ensure -- from REAL_64_REF
			non_negative: Result >= 0.0
			same_absolute_value: (Result = item) or (Result = - item)
		end

	frozen as_attached: attached REAL_64
		obsolete "Remove calls to this feature. [2017-05-31]"
			-- Attached version of Current.
			-- (Can be used during transitional period to convert
			-- non-void-safe classes to void-safe ones.)
			-- (from ANY)
		do
			Result := Current
		end

	frozen default: detachable REAL_64
			-- Default value of object's type
			-- (from ANY)
		do
		end

	frozen default_pointer: POINTER
			-- Default value of type POINTER
			-- (Avoid the need to write p.default for
			-- some p of type POINTER.)
			-- (from ANY)
		do
		ensure -- from ANY
			instance_free: class
		end

	default_rescue
			-- Process exception for routines with no Rescue clause.
			-- (Default: do nothing.)
			-- (from ANY)
		do
		end

	frozen do_nothing
			-- Execute a null action.
			-- (from ANY)
		do
		ensure -- from ANY
			instance_free: class
		end

	identity alias "+": REAL_64
			-- Unary plus
		require -- from  NUMERIC
			True
		do
			Result := Precursor
		ensure -- from NUMERIC
			result_exists: Result /= Void
		end

	minus alias "-" alias "−" (other: REAL_64): REAL_64
			-- Result of subtracting other
		require -- from NUMERIC
			other_exists: other /= Void
		do
			Result := Precursor (other)
		ensure -- from NUMERIC
			result_exists: Result /= Void
		end

	opposite alias "-" alias "−": REAL_64
			-- Unary minus
		require -- from  NUMERIC
			True
		do
			Result := Precursor
		ensure -- from NUMERIC
			result_exists: Result /= Void
		end

	plus alias "+" (other: REAL_64): REAL_64
			-- Sum with other
		require -- from NUMERIC
			other_exists: other /= Void
		do
			Result := Precursor (other)
		ensure -- from NUMERIC
			result_exists: Result /= Void
			commutative: Result ~ (other + Current)
		end

	power alias "^" (other: REAL_64): REAL_64
			-- Current double to the power other
		do
			Result := Precursor (other)
		end

	product alias "*" alias "×" (other: REAL_64): REAL_64
			-- Product with other
		require -- from NUMERIC
			other_exists: other /= Void
		do
			Result := Precursor (other)
		ensure -- from NUMERIC
			result_exists: Result /= Void
		end

	quotient alias "/" alias "÷" (other: REAL_64): REAL_64
			-- Division by other
		require -- from NUMERIC
			other_exists: other /= Void
			good_divisor: divisible (other)
		do
			Result := Precursor (other)
		ensure -- from NUMERIC
			result_exists: Result /= Void
		end
	
feature {NONE} -- Implementation

	abs_ref: REAL_64
			-- Absolute value
			-- (from REAL_64_REF)
		do
			if item = 0.0 then
				Result := zero
			elseif item > 0.0 then
				Result := Current
			else
				Result := - Current
			end
		ensure -- from REAL_64_REF
			result_exists: Result /= Void
			same_absolute_value: (Result ~ Current) or (Result ~ - Current)
		end
	
feature -- IEEE comparison

	ieee_is_equal (other: REAL_64): BOOLEAN
			-- Is current value equal to other according to IEEE 754 standard?
		external
			"built_in"
		end

	ieee_is_greater (other: REAL_64): BOOLEAN
			-- Is current value greater than other according to IEEE 754 standard?
		external
			"built_in"
		end

	ieee_is_greater_equal (other: REAL_64): BOOLEAN
			-- Is current value greater than or equal to other according to IEEE 754 standard?
		external
			"built_in"
		end

	ieee_is_less (other: REAL_64): BOOLEAN
			-- Is current value less than other according to IEEE 754 standard?
		external
			"built_in"
		end

	ieee_is_less_equal (other: REAL_64): BOOLEAN
			-- Is current value less than or equal to other according to IEEE 754 standard?
		external
			"built_in"
		end

	ieee_maximum_number (other: REAL_64): REAL_64
			-- The greater of current object and other according to IEEE 754 standard.
		external
			"built_in"
		end

	ieee_minimum_number (other: REAL_64): REAL_64
			-- The smaller of current object and other according to IEEE 754 standard.
		external
			"built_in"
		end
	
feature -- Output

	Io: STD_FILES
			-- Handle to standard file setup
			-- (from ANY)
		once
			create Result;
			Result.set_output_default
		ensure -- from ANY
			instance_free: class
			io_not_void: Result /= Void
		end

	out: STRING_8
			-- Printable representation of double value
		require -- from  DEBUG_OUTPUT
			True
		require -- from  ANY
			True
		do
			Result := Precursor
		ensure -- from DEBUG_OUTPUT
			result_not_void: Result /= Void
		ensure -- from ANY
			out_not_void: Result /= Void
		end

	print (o: detachable ANY)
			-- Write terse external representation of o
			-- on standard output.
			-- (from ANY)
		local
			s: READABLE_STRING_8
		do
			if attached o then
				s := o.out
				if attached {READABLE_STRING_32} s as s32 then
					Io.put_string_32 (s32)
				elseif attached {READABLE_STRING_8} s as s8 then
					Io.put_string (s8)
				else
					Io.put_string_32 (s.as_string_32)
				end
			end
		ensure -- from ANY
			instance_free: class
		end

	frozen tagged_out: STRING_8
			-- New string containing terse printable representation
			-- of current object
			-- (from ANY)
		external
			"built_in"
		ensure -- from ANY
			tagged_out_not_void: Result /= Void
		end
	
feature -- Platform

	Operating_environment: OPERATING_ENVIRONMENT
			-- Objects available from the operating system
			-- (from ANY)
		once
			create Result
		ensure -- from ANY
			instance_free: class
			operating_environment_not_void: Result /= Void
		end
	
feature {NONE} -- Retrieval

	frozen internal_correct_mismatch
			-- Called from runtime to perform a proper dynamic dispatch on correct_mismatch
			-- from MISMATCH_CORRECTOR.
			-- (from ANY)
		local
			l_msg: STRING_32
			l_exc: EXCEPTIONS
		do
			if attached {MISMATCH_CORRECTOR} Current as l_corrector then
				l_corrector.correct_mismatch
			else
				create l_msg.make_from_string ("Mismatch: ".as_string_32)
				create l_exc;
				l_msg.append (generating_type.name_32);
				l_exc.raise_retrieval_exception (l_msg)
			end
		end
	
feature -- Status Report

	is_nan: BOOLEAN
			-- Is current the representation of nan?
		do
			Result := Precursor
		end

	is_negative_infinity: BOOLEAN
			-- Is current the representation of negative_infinity?
		do
			Result := Precursor
		end

	is_positive_infinity: BOOLEAN
			-- Is current the representation of positive_infinity?
		do
			Result := Precursor
		end
	
invariant
		-- from REAL_64_REF
	sign_times_abs: not item.is_nan implies sign.to_double * abs = item

		-- from ANY
	reflexive_equality: standard_is_equal (Current)
	reflexive_conformance: conforms_to (Current)

		-- from COMPARABLE
	irreflexive_comparison: not (Current < Current)

note
	copyright: "Copyright (c) 1984-2020, Eiffel Software and others"
	license: "Eiffel Forum License v2 (see http://www.eiffel.com/licensing/forum.txt)"
	source: "[
		Eiffel Software
		5949 Hollister Ave., Goleta, CA 93117 USA
		Telephone 805-685-1006, Fax 805-685-6869
		Website http://www.eiffel.com
		Customer support http://support.eiffel.com
	]"

end -- class REAL_64

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