indexing
	description: "Real values, single precision"
	external_name: "System.Single"
	assembly: "mscorlib"
	library: "Free implementation of ELKS library"
	copyright: "Copyright (c) 1986-2006, Eiffel Software and others"
	license: "Eiffel Forum License v2 (see forum.txt)"
	date: "$Date: 2008-05-23 17:24:07 -0700 (Fri, 23 May 2008) $"
	revision: "$Revision: 170 $"

frozen expanded class interface
	REAL_32


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

	make_from_reference (v: REAL_32_REF)
			-- Initialize `Current' with `v.item'.
			-- (from REAL_32_REF)
		require -- from REAL_32_REF
			v_not_void: v /= Void
		ensure -- from REAL_32_REF
			item_set: item = v.item

convert
	make_from_reference ({REAL_32_REF}),
	make_from_reference: {REAL_64}

feature -- Access

	generating_type: STRING_8
			-- Name of current object's generating type
			-- (type of which it is a direct instance)
			-- (from ANY)
		ensure -- from ANY
			generating_type_not_void: Result /= Void
			generating_type_not_empty: not Result.is_empty

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

	hash_code: INTEGER_32
			-- Hash code value
			-- (from REAL_32_REF)
		ensure -- from HASHABLE
			good_hash_value: Result >= 0

	item: REAL_32
			-- Numeric real value
			-- (from REAL_32_REF)

	one: REAL_32
			-- Neutral element for "*" and "/"
			-- (from REAL_32_REF)
		ensure -- from NUMERIC
			result_exists: Result /= Void

	sign: INTEGER_32
			-- Sign value (0, -1 or 1)
			-- (from REAL_32_REF)
		ensure -- from REAL_32_REF
			three_way: Result = three_way_comparison (zero)

	zero: REAL_32
			-- Neutral element for "+" and "-"
			-- (from REAL_32_REF)
		ensure -- from NUMERIC
			result_exists: Result /= Void
	
feature -- Comparison

	frozen deep_equal (some: ?ANY; other: like arg #1): BOOLEAN
			-- Are `some' and `other' either both void
			-- or attached to isomorphic object structures?
			-- (from ANY)
		ensure -- from ANY
			shallow_implies_deep: standard_equal (some, other) implies Result
			both_or_none_void: (some = Void) implies (Result = (other = Void))
			same_type: (Result and (some /= Void)) implies (other /= Void and then some.same_type (other))
			symmetric: Result implies deep_equal (other, some)

	frozen equal (some: ?ANY; other: like arg #1): BOOLEAN
			-- Are `some' and `other' either both void or attached
			-- to objects considered equal?
			-- (from ANY)
		ensure -- from ANY
			definition: Result = (some = Void and other = Void) or else ((some /= Void and other /= Void) and then some.is_equal (other))

	frozen is_deep_equal (other: REAL_32): BOOLEAN
			-- Are `Current' and `other' attached to isomorphic object structures?
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
		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)

	is_equal (other: REAL_32): BOOLEAN
			-- Is `other' attached to an object of the same type
			-- as current object and identical to it?
			-- (from REAL_32_REF)
		require -- from ANY
			other_not_void: other /= Void
		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))

	max (other: REAL_32): REAL_32
			-- The greater of current object and `other'
			-- (from COMPARABLE)
		require -- from COMPARABLE
			other_exists: other /= Void
		ensure -- from COMPARABLE
			current_if_not_smaller: Current >= other implies Result = Current
			other_if_smaller: Current < other implies Result = other

	min (other: REAL_32): REAL_32
			-- The smaller of current object and `other'
			-- (from COMPARABLE)
		require -- from COMPARABLE
			other_exists: other /= Void
		ensure -- from COMPARABLE
			current_if_not_greater: Current <= other implies Result = Current
			other_if_greater: Current > other implies Result = other

	frozen standard_equal (some: ?ANY; other: like arg #1): BOOLEAN
			-- Are `some' and `other' either both void or attached to
			-- field-by-field identical objects of the same type?
			-- Always uses default object comparison criterion.
			-- (from ANY)
		ensure -- from ANY
			definition: Result = (some = Void and other = Void) or else ((some /= Void and other /= Void) and then some.standard_is_equal (other))

	frozen standard_is_equal (other: REAL_32): 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
		ensure -- from ANY
			same_type: Result implies same_type (other)
			symmetric: Result implies other.standard_is_equal (Current)

	three_way_comparison (other: REAL_32): INTEGER_32
			-- If current object equal to `other', 0;
			-- if smaller, -1; if greater, 1
			-- (from COMPARABLE)
		require -- from COMPARABLE
			other_exists: other /= Void
		ensure -- from COMPARABLE
			equal_zero: (Result = 0) = is_equal (other)
			smaller_negative: (Result = -1) = (Current < other)
			greater_positive: (Result = 1) = (Current > other)

	infix "<" (other: REAL_32): BOOLEAN
			-- Is `other' greater than current real?
		require -- from PART_COMPARABLE
			other_exists: other /= Void
		ensure then -- from COMPARABLE
			asymmetric: Result implies not (other < Current)

	infix "<=" (other: REAL_32): BOOLEAN
			-- Is current object less than or equal to `other'?
			-- (from COMPARABLE)
		require -- from PART_COMPARABLE
			other_exists: other /= Void
		ensure then -- from COMPARABLE
			definition: Result = ((Current < other) or is_equal (other))

	infix ">" (other: REAL_32): BOOLEAN
			-- Is current object greater than `other'?
			-- (from COMPARABLE)
		require -- from PART_COMPARABLE
			other_exists: other /= Void
		ensure then -- from COMPARABLE
			definition: Result = (other < Current)

	infix ">=" (other: REAL_32): BOOLEAN
			-- Is current object greater than or equal to `other'?
			-- (from COMPARABLE)
		require -- from PART_COMPARABLE
			other_exists: other /= Void
		ensure then -- from COMPARABLE
			definition: Result = (other <= Current)
	
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

	divisible (other: REAL_32_REF): BOOLEAN
			-- May current object be divided by `other'?
			-- (from REAL_32_REF)
		require -- from NUMERIC
			other_exists: other /= Void
		ensure then -- from REAL_32_REF
			ref_not_exact_zero: Result implies (other.item /= 0.0)

	exponentiable (other: NUMERIC): BOOLEAN
			-- May current object be elevated to the power `other'?
			-- (from REAL_32_REF)
		require -- from NUMERIC
			other_exists: other /= Void
		ensure then -- from REAL_32_REF
			safe_values: ((other.conforms_to (0) and item /= 0.0) or (other.conforms_to (0.0) and item > 0.0)) implies Result

	is_hashable: BOOLEAN
			-- May current object be hashed?
			-- (True if it is not its type's default.)
			-- (from REAL_32_REF)

	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
		ensure -- from ANY
			definition: Result = (conforms_to (other) and other.conforms_to (Current))
	
feature -- Element change

	set_item (r: REAL_32)
			-- Make `r' the value of item.
			-- (from REAL_32_REF)
	
feature -- Conversion

	ceiling: INTEGER_32
			-- Smallest integral value no smaller than current object
			-- (from REAL_32_REF)
		ensure -- from REAL_32_REF
			result_no_smaller: Result >= item
			close_enough: Result - item < item.one

	ceiling_real_32: REAL_32
			-- Smallest integral value no smaller than current object
		ensure -- from REAL_32_REF
			result_no_smaller: Result >= item
			close_enough: Result - item < item.one

	floor: INTEGER_32
			-- Greatest integral value no greater than current object
			-- (from REAL_32_REF)
		ensure -- from REAL_32_REF
			result_no_greater: Result <= item
			close_enough: item - Result < Result.one

	floor_real_32: REAL_32
			-- Greatest integral value no greater than current object
		ensure -- from REAL_32_REF
			result_no_greater: Result <= item
			close_enough: item - Result < Result.one

	rounded: INTEGER_32
			-- Rounded integral value
			-- (from REAL_32_REF)
		ensure -- from REAL_32_REF
			definition: Result = sign * ((abs + 0.5).floor)

	rounded_real_32: REAL_32
			-- Rounded integral value
			-- (from REAL_32_REF)
		ensure -- from REAL_32_REF
			definition: Result = sign * ((abs + 0.5).floor_real_32)

	to_double: REAL_64
			-- Current seen as a double

	to_reference: REAL_32_REF
			-- Associated reference of Current
			-- (from REAL_32_REF)
		ensure -- from REAL_32_REF
			to_reference_not_void: Result /= Void

	truncated_to_integer: INTEGER_32
			-- Integer part (same sign, largest absolute
			-- value no greater than current object's)

	truncated_to_integer_64: INTEGER_64
			-- Integer part (same sign, largest absolute
			-- value no greater than current object's)
	
feature -- Duplication

	copy (other: REAL_32)
			-- 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)
		ensure -- from ANY
			is_equal: is_equal (other)

	frozen deep_copy (other: REAL_32)
			-- Effect equivalent to that of:
			--		copy (`other' . deep_twin)
			-- (from ANY)
		require -- from ANY
			other_not_void: other /= Void
		ensure -- from ANY
			deep_equal: deep_equal (Current, other)

	frozen deep_twin: REAL_32
			-- New object structure recursively duplicated from Current.
			-- (from ANY)
		ensure -- from ANY
			deep_twin_not_void: Result /= Void
			deep_equal: deep_equal (Current, Result)

	frozen standard_copy (other: REAL_32)
			-- 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)
		ensure -- from ANY
			is_standard_equal: standard_is_equal (other)

	frozen standard_twin: REAL_32
			-- New object field-by-field identical to `other'.
			-- Always uses default copying semantics.
			-- (from ANY)
		ensure -- from ANY
			standard_twin_not_void: Result /= Void
			equal: standard_equal (Result, Current)

	frozen twin: REAL_32
			-- New object equal to `Current'
			-- twin calls copy; to change copying/twining semantics, redefine copy.
			-- (from ANY)
		ensure -- from ANY
			twin_not_void: Result /= Void
			is_equal: Result.is_equal (Current)
	
feature -- Basic operations

	abs: REAL_32
			-- Absolute value
			-- (from REAL_32_REF)
		ensure -- from REAL_32_REF
			non_negative: Result >= 0.0
			same_absolute_value: (Result = item) or (Result = - item)

	frozen default: REAL_32
			-- Default value of object's type
			-- (from ANY)

	frozen default_pointer: POINTER
			-- Default value of type `POINTER'
			-- (Avoid the need to write `p'.default for
			-- some `p' of type `POINTER'.)
			-- (from ANY)

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

	frozen do_nothing
			-- Execute a null action.
			-- (from ANY)

	infix "*" (other: REAL_32): REAL_32
			-- Product by `other'
		require -- from NUMERIC
			other_exists: other /= Void
		ensure -- from NUMERIC
			result_exists: Result /= Void

	prefix "+": REAL_32
			-- Unary plus
		require -- from  NUMERIC
			True
		ensure -- from NUMERIC
			result_exists: Result /= Void

	infix "+" (other: REAL_32): REAL_32
			-- Sum with `other'
		require -- from NUMERIC
			other_exists: other /= Void
		ensure -- from NUMERIC
			result_exists: Result /= Void
			commutative: equal (Result, other + Current)

	prefix "-": REAL_32
			-- Unary minus
		require -- from  NUMERIC
			True
		ensure -- from NUMERIC
			result_exists: Result /= Void

	infix "-" (other: REAL_32): REAL_32
			-- Result of subtracting `other'
		require -- from NUMERIC
			other_exists: other /= Void
		ensure -- from NUMERIC
			result_exists: Result /= Void

	infix "/" (other: REAL_32): REAL_32
			-- Division by `other'
		require -- from NUMERIC
			other_exists: other /= Void
			good_divisor: divisible (other)
		ensure -- from NUMERIC
			result_exists: Result /= Void

	infix "^" (other: REAL_64): REAL_64
			-- Current real to the power `other'
	
feature -- Output

	io: STD_FILES
			-- Handle to standard file setup
			-- (from ANY)
		ensure -- from ANY
			io_not_void: Result /= Void

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

	print (some: ?ANY)
			-- Write terse external representation of `some'
			-- on standard output.
			-- (from ANY)

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

	operating_environment: OPERATING_ENVIRONMENT
			-- Objects available from the operating system
			-- (from ANY)
		ensure -- from ANY
			operating_environment_not_void: Result /= Void
	
invariant
		-- from REAL_32_REF
	sign_times_abs: sign * abs = item

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

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

end -- class REAL_32