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note description: "Prime number properties" library: "Free implementation of ELKS library" status: "See notice at end of class." legal: "See notice at end of class." names: primes date: "$Date: 2018-10-03 05:41:17 -0800 (Wed, 03 Oct 2018) $" revision: "$Revision: 102260 $" class interface PRIMES create default_create -- Process instances of classes with no creation clause. -- (Default: do nothing.) -- (from ANY) feature -- Access all_lower_primes (n: INTEGER_32): ARRAY [BOOLEAN] -- Array of n boolean values, where the -- value at index i is true if and only if -- i is prime. ensure instance_free: class generating_type: TYPE [detachable PRIMES] -- Type of current object -- (type of which it is a direct instance) -- (from ANY) ensure -- from ANY generating_type_not_void: Result /= Void 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 higher_prime (n: INTEGER_32): INTEGER_32 -- Lowest prime greater than or equal to n ensure instance_free: class i_th (i: INTEGER_32): INTEGER_32 -- The i-th prime number require -- from COUNTABLE positive_argument: i > 0 ensure then instance_free: class index: INTEGER_32 -- Index of current position -- (from COUNTABLE_SEQUENCE) index_of (v: like item; i: INTEGER_32): INTEGER_32 -- Index of i-th occurrence of v. -- 0 if none. -- (Reference or object equality, -- based on `object_comparison`.) -- (from LINEAR) require -- from LINEAR positive_occurrences: i > 0 ensure -- from LINEAR non_negative_result: Result >= 0 is_prime (n: INTEGER_32): BOOLEAN -- Is n a prime number? require -- from CONTAINER True ensure -- from CONTAINER not_found_in_empty: Result implies not Is_empty ensure then instance_free: class item: INTEGER_32 -- Item at current position -- (from COUNTABLE_SEQUENCE) require -- from TRAVERSABLE not_off: not off require -- from ACTIVE readable: Readable require -- from ITERATION_CURSOR valid_position: not After item_for_iteration: INTEGER_32 -- Item at current position -- (from LINEAR) require -- from LINEAR not_off: not off lower_prime (n: INTEGER_32): INTEGER_32 -- Greatest prime lower than or equal to n require argument_big_enough: n >= Smallest_prime ensure instance_free: class occurrences (v: like item): INTEGER_32 -- Number of times v appears. -- (Reference or object equality, -- based on `object_comparison`.) -- (from LINEAR) require -- from BAG True ensure -- from BAG non_negative_occurrences: Result >= 0 search (v: like item) -- Move to first position (at or after current -- position) where `item` and v are equal. -- (Reference or object equality, -- based on `object_comparison`.) -- If no such position ensure that `exhausted` will be true. -- (from LINEAR) ensure -- from LINEAR object_found: (not exhausted and object_comparison) implies v ~ item item_found: (not exhausted and not object_comparison) implies v = item Smallest_odd_prime: INTEGER_32 = 3 Smallest_prime: INTEGER_32 = 2 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) 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) 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) 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)) frozen is_deep_equal alias "≡≡≡" (other: PRIMES): 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: PRIMES): BOOLEAN -- Is other attached to an object considered -- equal to current object? -- (from ANY) require -- from ANY other_not_void: other /= Void ensure -- from ANY symmetric: Result implies other ~ Current consistent: standard_is_equal (other) implies Result 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) 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)) frozen standard_is_equal alias "" (other: PRIMES): 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) feature -- Status report After: BOOLEAN = False -- Is current position past last item? (Answer: no.) -- (from COUNTABLE_SEQUENCE) changeable_comparison_criterion: BOOLEAN -- May `object_comparison` be changed? -- (Answer: yes by default.) -- (from CONTAINER) 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 exhausted: BOOLEAN -- Has structure been completely explored? -- (from LINEAR) ensure -- from LINEAR exhausted_when_off: off implies Result Extendible: BOOLEAN = False -- May items be added? (Answer: no.) -- (from COUNTABLE_SEQUENCE) Full: BOOLEAN = True -- The structure is complete -- (from INFINITE) Is_empty: BOOLEAN = False -- Is structure empty? (Answer: no.) -- (from INFINITE) is_inserted (v: INTEGER_32): BOOLEAN -- Has v been inserted by the most recent insertion? -- (By default, the value returned is equivalent to calling -- has (v). However, descendants might be able to provide more -- efficient implementations.) -- (from COLLECTION) object_comparison: BOOLEAN -- Must search operations use `equal` rather than = -- for comparing references? (Default: no, use =.) -- (from CONTAINER) off: BOOLEAN -- Is there no current item? -- (from LINEAR) Prunable: BOOLEAN = False -- May items be removed? (Answer: no.) -- (from COUNTABLE_SEQUENCE) Readable: BOOLEAN = True -- Is there a current item that may be read? -- (Answer: yes.) -- (from COUNTABLE_SEQUENCE) Replaceable: BOOLEAN = False -- Can current item be replaced? -- (from COUNTABLE_SEQUENCE) 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)) Writable: BOOLEAN = False -- Is there a current item that may be written? -- (Answer: no.) -- (from COUNTABLE_SEQUENCE) feature -- Status setting compare_objects -- Ensure that future search operations will use `equal` -- rather than = for comparing references. -- (from CONTAINER) require -- from CONTAINER changeable_comparison_criterion: changeable_comparison_criterion ensure -- from CONTAINER object_comparison compare_references -- Ensure that future search operations will use = -- rather than `equal` for comparing references. -- (from CONTAINER) require -- from CONTAINER changeable_comparison_criterion: changeable_comparison_criterion ensure -- from CONTAINER reference_comparison: not object_comparison feature -- Cursor movement forth -- Move to next position. -- (from COUNTABLE_SEQUENCE) require -- from LINEAR not_after: not After require -- from ITERATION_CURSOR valid_position: not After start -- Move to first position. -- (from COUNTABLE_SEQUENCE) feature -- Duplication copy (other: PRIMES) -- 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: Current ~ other frozen deep_copy (other: PRIMES) -- 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: PRIMES -- 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: PRIMES) -- 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: PRIMES -- 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: PRIMES -- New object equal to Current -- `twin` calls `copy`; to change copying/twinning semantics, redefine `copy`. -- (from ANY) ensure -- from ANY twin_not_void: Result /= Void is_equal: Result ~ Current feature -- Basic operations frozen default: detachable PRIMES -- 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) ensure -- from ANY instance_free: class default_rescue -- Process exception for routines with no Rescue clause. -- (Default: do nothing.) -- (from ANY) frozen do_nothing -- Execute a null action. -- (from ANY) ensure -- from ANY instance_free: class feature -- Inapplicable extend (v: INTEGER_32) -- Add v at end. -- (from COUNTABLE_SEQUENCE) require -- from COLLECTION extendible: Extendible ensure -- from COLLECTION item_inserted: is_inserted (v) finish -- Move to last position. -- (from COUNTABLE_SEQUENCE) require -- from LINEAR True ensure then -- from COUNTABLE_SEQUENCE failure: False linear_representation: LINEAR [INTEGER_32] -- Representation as a linear structure -- (from COUNTABLE_SEQUENCE) require -- from CONTAINER True feature -- Iteration do_all (action: PROCEDURE [INTEGER_32]) -- Apply action to every item. -- Semantics not guaranteed if action changes the structure; -- in such a case, apply iterator to clone of structure instead. -- (from LINEAR) require -- from TRAVERSABLE action_exists: action /= Void do_if (action: PROCEDURE [INTEGER_32]; test: FUNCTION [INTEGER_32, BOOLEAN]) -- Apply action to every item that satisfies test. -- Semantics not guaranteed if action or test changes the structure; -- in such a case, apply iterator to clone of structure instead. -- (from LINEAR) require -- from TRAVERSABLE action_exists: action /= Void test_exists: test /= Void for_all (test: FUNCTION [INTEGER_32, BOOLEAN]): BOOLEAN -- Is test true for all items? -- Semantics not guaranteed if test changes the structure; -- in such a case, apply iterator to clone of structure instead. -- (from LINEAR) require -- from TRAVERSABLE test_exists: test /= Void ensure then -- from LINEAR empty: Is_empty implies Result new_cursor: PRIMES -- Fresh cursor associated with current structure require -- from ITERABLE True ensure -- from ITERABLE result_attached: Result /= Void ensure then instance_free: class there_exists (test: FUNCTION [INTEGER_32, BOOLEAN]): BOOLEAN -- Is test true for at least one item? -- Semantics not guaranteed if test changes the structure; -- in such a case, apply iterator to clone of structure instead. -- (from LINEAR) require -- from TRAVERSABLE test_exists: test /= Void feature -- Output Io: STD_FILES -- Handle to standard file setup -- (from ANY) ensure -- from ANY instance_free: class io_not_void: Result /= Void out: STRING_8 -- New string containing terse printable representation -- of current object -- (from ANY) ensure -- from ANY out_not_void: Result /= Void print (o: detachable ANY) -- Write terse external representation of o -- on standard output. -- (from ANY) ensure -- from ANY instance_free: class 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 instance_free: class operating_environment_not_void: Result /= Void invariant -- from INFINITE never_empty: not Is_empty always_full: Full -- from ANY reflexive_equality: standard_is_equal (Current) reflexive_conformance: conforms_to (Current) -- from LINEAR after_constraint: After implies off -- from TRAVERSABLE empty_constraint: Is_empty implies off -- from ACTIVE writable_constraint: Writable implies Readable empty_constraint: Is_empty implies (not Readable) and (not Writable) note copyright: "Copyright (c) 1984-2018, 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 PRIMES
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