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- PROGRAM FILE 128: ACCURACY OF TAN FUNCTION.
- ANSI STANDARD 7.6, 8.4
-
- SECTION 128.1: ACCURACY OF TAN FUNCTION.
-
- THIS PROGRAM TESTS VALUES RETURNED BY INVOCATIONS OF THE
- TAN 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
-
- -98778.9 -1.38017 -1.38017 2.49807E-9 OK
- -9876.54 .724992 .724992 7.58307E-9 OK
- -987.654 -2.52646 -2.52646 2.62572E-7 OK
- -98.7654 -5.06921 -5.06921 1.73817E-6 OK
- -9.87654 -.48523 -.48523 3.70988E-5 OK
- -5.55555 .890668 .890668 2.14631E-5 OK
- -4.71239 980762. 980762. RANGE SPLIT OK
- -4.56789 -6.87223 -6.87223 1.97278E-6 OK
- -4 -1.15782 -1.15782 8.27025E-5 OK
- -3.14159 2.65359E-6 2.65359E-6 2.91798E-10 OK
- -2.87654 .271439 .271439 2.81063E-5 OK
- -2 2.18504 2.18504 5.19805E-5 OK
- -1.61616 22.0289 22.0289 5.24035E-6 OK
- -1.57081 73135.7 73135.7 3.48614E-10 OK
- -1.5708 272242. 272242. RANGE SPLIT OK
- -1.57078 -61249. -61249. 5.24726E-10 OK
- -1.23456 -2.86117 -2.86117 1.64589E-5 OK
- -1 -1.55741 -1.55741 1.18566E-4 OK
- -.87654 -1.20118 -1.20118 3.85899E-4 OK
- -.232323 -.236595 -.236595 2.36288E-4 OK
- -7.67676E-2 -7.69188E-2 -7.69188E-2 2.48291E-4 OK
- -2.34567E-2 -.023461 -.023461 RANGE SPLIT OK
- -1.23456E-2 -1.23462E-2 -1.23462E-2 3.22076E-4 OK
- -9.87654E-3 -9.87686E-3 -9.87686E-3 1.10671E-4 OK
- -3.45678E-3 -3.45679E-3 -3.45679E-3 8.00762E-5 OK
- -9.87654E-4 -9.87654E-4 -9.87654E-4 9.2806E-5 OK
- -3.45678E-4 -3.45678E-4 -3.45678E-4 1.54126E-4 OK
- -.00009 -.00009 -.00009 2.86571E-4 OK
- -9.E-7 -9.E-7 -9.E-7 1.61941E-7 OK
- -9.E-10 -9.E-10 -9.E-10 0 OK - EXACT
- -9.E-20 -9.E-20 -9.E-20 0 OK - EXACT
- -9.E-30 -9.E-30 -9.E-30 0 OK - EXACT
- -9.E-38 -9.E-38 -9.E-38 0 OK - EXACT
- 0 0 0 RANGE ZERO OK - EXACT
- 9.E-38 9.E-38 9.E-38 0 OK - EXACT
- 9.E-30 9.E-30 9.E-30 0 OK - EXACT
- 9.E-20 9.E-20 9.E-20 0 OK - EXACT
- 9.E-10 9.E-10 9.E-10 0 OK - EXACT
- 9.E-7 9.E-7 9.E-7 1.61941E-7 OK
- .00009 .00009 .00009 2.86571E-4 OK
- 3.45678E-4 3.45678E-4 3.45678E-4 1.54126E-4 OK
- 9.87654E-4 9.87654E-4 9.87654E-4 9.2806E-5 OK
- 3.45678E-3 3.45679E-3 3.45679E-3 8.00762E-5 OK
- 9.87654E-3 9.87686E-3 9.87686E-3 1.10671E-4 OK
- 1.23456E-2 1.23462E-2 1.23462E-2 3.22076E-4 OK
- 2.34567E-2 .023456 .023461 33.3114 OK
- 7.67676E-2 7.69188E-2 7.69188E-2 2.48291E-4 OK
- .232323 .236595 .236595 2.36288E-4 OK
- .876543 1.20118 1.20118 5.87061E-4 OK
- 1 1.55741 1.55741 1.18566E-4 OK
- 1.23456 2.86117 2.86117 1.64589E-5 OK
- 1.57078 61249. 61249. 5.24726E-10 OK
- 1.5708 -272242. -272242. RANGE SPLIT OK
- 1.57081 -73135.7 -73135.7 3.48614E-10 OK
- 1.61616 -42241.8 -22.0289 8.59392E+6 OK
- 2 -2.18504 -2.18504 5.19805E-5 OK
- 2.87654 -.271439 -.271439 2.81063E-5 OK
- 3.14159 -2.65359E-6 -2.65359E-6 2.91798E-10 OK
- 4 1.15782 1.15782 8.27025E-5 OK
- 4.56789 6.87223 6.87223 1.97278E-6 OK
- 4.71239 -980762. -980762. RANGE SPLIT OK
- 5.55555 -.890668 -.890668 2.14619E-5 OK
- 9.87654 .48523 .48523 3.70988E-5 OK
- 98.7654 5.06921 5.06921 1.73817E-6 OK
- 987.654 2.53387 2.52646 1.00252 OK
- 9876.54 -.724992 -.724992 7.58307E-9 OK
- 98778.9 1.38017 1.38017 2.49807E-9 OK
-
- *** INFORMATIVE TEST PASSED ***
-
- END TEST
-
- END PROGRAM 128
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