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- PROGRAM FILE 27: ACCURACY OF CONSTANTS AND VARIABLES.
- ANSI STANDARD 5.2, 5.4, 6.2, 6.4, 10.4
-
- *** NOTE: THIS PROGRAM MAKES USE OF THE ON-GOTO STATEMENT
- AND FOR-BLOCKS (THE FOR AND NEXT STATEMENTS) WHICH
- HAVE NOT YET BEEN TESTED. IF SUBSEQUENT TESTS SHOW
- THESE FEATURES TO BE INCORRECTLY IMPLEMENTED, THEN THE
- VALIDITY OF THE RESULTS OF THIS TEST ROUTINE IS DOUBTFUL.
-
- THIS PROGRAM TESTS THE LEVEL OF ACCURACY OF NUMERIC VALUE,
- USING THE IF-THEN STATEMENT.
-
- SECTION 27.1: ACCURACY IN COMPARISON OF VARIABLES.
-
- THIS SECTION COMPARES TWO VARIABLES WHICH HAVE BEEN ASSIGNED
- NUMERICALLY 'CLOSE' VALUES AND THEN DETERMINES WHETHER THE
- IMPLEMENTATION CAN DISTINGUISH BETWEEN THEN OR IF THEY ARE
- TREATED AS EQUAL.
-
- BEGIN TEST.
-
- NUMERIC VALUES DIGITS OF RESULT OF
- BEING COMPARED DECIMAL COMPARISONS
- ACCURACY > =
-
- 9.876543212E-7 : 9.876533E-7 6 T F
- 9.876543212E-7 : 9.8765422E-7 7 T F
- 9.876543212E-7 : 9.87654311E-7 8 T F
- 9.876543212E-7 : 9.876543201E-7 9 T F
-
- *** TEST INDICATES DECIMAL ACCURACY OF AT LEAST 9 DIGITS. ***
- IF DOCUMENTATION FOR THE IMPLEMENTATION-DEFINED ACCURACY
- FOR NUMERIC VALUES IS COMPATIBLE WITH THIS RESULT, THEN
- *** TEST PASSED ***
-
- END TEST.
-
- SECTION 27.2: ACCURACY IN THE COMPARISON OF VARIABLES
- WITH CONSTANTS.
-
- THIS SECTION COMPARES A VARIABLE AND A CONSTANT WHICH HAVE
- NUMERICALLY 'CLOSE' VALUES AND THEN DETERMINES WHETHER THE
- IMPLEMENTATION CAN DISTINGUISH BETWEEN THEM OR IF THEY ARE
- TREATED AS EQUAL.
-
- BEGIN TEST.
-
- NUMERIC VALUES DIGITS OF RESULT OF
- BEING COMPARED DECIMAL COMPARISONS
- ACCURACY > =
-
- -9.999988888E36 : -9.999999E36 6 T F
- -9.999988888E36 : -9.9999899E36 7 T F
- -9.999988888E36 : -9.99998899E36 8 T F
- -9.999988888E36 : -9.999988899E36 9 T F
-
- *** TEST INDICATES DECIMAL ACCURACY OF AT LEAST 9 DIGITS. ***
- IF DOCUMENTATION FOR THE IMPLEMENTATION-DEFINED ACCURACY
- FOR NUMERIC VALUES IS COMPATIBLE WITH THIS RESULT, THEN
- *** TEST PASSED ***
-
- END TEST.
-
- SECTION 27.3: ACCURACY IN THE COMPARISON OF CONSTANTS.
-
- THIS SECTION COMPARES TWO CONSTANTS WHICH HAVE
- NUMERICALLY 'CLOSE' VALUES AND THEN DETERMINES WHETHER THE
- IMPLEMENTATION CAN DISTINGUISH BETWEEN THEM OR IF THEY ARE
- TREATED AS EQUAL.
-
- BEGIN TEST.
-
- NUMERIC VALUES DIGITS OF RESULT OF
- BEING COMPARED DECIMAL COMPARISONS
- ACCURACY < =
-
- 9.40395E-37 : 9.40396E-37 6 T F
- 9.40395E-37 : 9.403951E-37 7 T F
- 9.40395E-37 : 9.4039501E-37 8 T F
- 9.40395E-37 : 9.40395001E-37 9 T F
-
- *** TEST INDICATES DECIMAL ACCURACY OF AT LEAST 9 DIGITS. ***
- IF DOCUMENTATION FOR THE IMPLEMENTATION-DEFINED ACCURACY
- FOR NUMERIC VALUES IS COMPATIBLE WITH THIS RESULT, THEN
- *** TEST PASSED ***
-
- END TEST.
-
- SECTION 27.4: ACCURACY FOR CONSTANTS EXPRESSED WITH
- DIFFERENT EXPONENTS.
-
- CONSTANTS MUST BE ACCURATE EVEN WHEN NOT EXPRESSED IN
- NORMALIZED FORM (1 <= SIGNIFICAND < 10).
-
- BEGIN TEST.
-
- *** TEST PASSED ***
-
- END TEST.
-
- SECTION 27.5: COMPUTED ACCURACY OF NUMERIC VALUES.
-
- THIS SECTION USES A COMPUTATIONAL ALGORITHM TO ATTEMPT TO
- DISCOVER THIS IMPLEMENTATION'S INTERNAL ACCURACY. BECAUSE
- THE ALGORITHM RELIES SOMEWHAT ON ACCURACY OF EXPRESSION
- EVALUATION, THE RESULTS ARE NOT ABSOLUTELY TRUSTWORTHY AND
- SHOULD BE INTERPRETED IN LIGHT OF GENERAL KNOWLEDGE OF
- THE CHARACTERISTICS OF THE SYSTEM.
-
- *** THIS TEST IS INFORMATIVE ONLY ***
-
- BEGIN TEST.
-
- COMPUTED ACCURACY = 16 DECIMAL DIGITS.
- COMPUTED ACCURACY = 53 BINARY DIGITS.
-
- END TEST.
-
- END PROGRAM 27
-
- Program interrupted at line 6450
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