|
- PROGRAM FILE 117: ACCURACY OF SQR FUNCTION.
- ANSI STANDARD 7.6, 8.4
-
- SECTION 117.1: ACCURACY OF SQR FUNCTION.
-
- THIS PROGRAM TESTS VALUES RETURNED BY INVOCATIONS OF THE
- SQR FUNCTION FOR ACCURACY. THE INVOCATION MUST RETURN,
- ACCURATE TO SIX DIGITS, SOME VALUE ACTUALLY TAKEN ON BY
- THE FUNCTION WITHIN A DOMAIN BOUNDED BY THE ACTUAL ARGUMENT
- PLUS OR MINUS ONE IN THE SIXTH DIGIT. ALSO, AN
- 'ERROR MEASURE' IS COMPUTED AND REPORTED. THIS MEASURE
- IS JUST 2 * THE ABSOLUTE ERROR OVER THE SIZE OF THE RANGE;
- THUS, A VALUE JUST BARELY PASSING OR FAILING WILL USUALLY
- HAVE A MEASURE OF ABOUT 1. A VALUE 3 TIMES
- AS INACCURATE AS EXPECTED WILL HAVE A MEASURE OF 3.
-
- THIS TEST IS INFORMATIVE ONLY, SINCE THE ANSI STANDARD
- DOES NOT MANDATE ANY ACCURACY FOR SUPPLIED-FUNCTIONS.
-
- BEGIN TEST
-
- ARGUMENT TRUE COMPUTED ERROR OUTCOME
- VALUE VALUE MEASURE
-
- 0 0 0 RANGE ZERO OK - EXACT
- 1.E-38 1.E-19 1.E-19 1.55307E-11 OK
- 9.99999E-38 3.16228E-19 3.16228E-19 1.47321E-4 OK
- 9.E-38 3.E-19 3.E-19 7.21863E-11 OK
- 9.99999E-37 1.E-18 9.99999E-19 3.85127E-8 OK
- 9.99999E-31 1.E-15 9.99999E-16 1.25169E-7 OK
- 1.23456E-20 1.11111E-10 1.11111E-10 4.68189E-4 OK
- 6.54321E-5 8.08901E-3 8.08901E-3 3.93464E-4 OK
- .5 .707107 .707107 1.54491E-4 OK
- 1 1 1 0 OK - EXACT
- .999999 1. .999999 3.8459E-8 OK
- 2 1.41421 1.41421 2.7788E-4 OK
- 3 1.73205 1.73205 3.08127E-4 OK
- 4 2 2 0 OK - EXACT
- 5 2.23607 2.23607 3.45333E-4 OK
- 9.99999 3.16228 3.16228 1.47321E-4 OK
- 10 3.16228 3.16228 8.08739E-6 OK
- 40000 200 200 0 OK - EXACT
- 1.23456E+8 11111.1 11111.1 4.68189E-4 OK
- 6.54321E+20 2.55797E+10 2.55797E+10 2.61354E-4 OK
- 9.99999E+31 1.E+16 9.99999E+15 1.24938E-7 OK
- 9.E+36 3.E+18 3.E+18 0 OK - EXACT
- 1.E+38 1.E+19 1.E+19 0 OK - EXACT
-
- *** INFORMATIVE TEST PASSED ***
-
- END TEST
-
- END PROGRAM 117
|
Ye Ol' π Shack