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From "Sebb (JIRA)" <j...@apache.org>
Subject [jira] Created: (MATH-494) FastMath atan2 does not agree with StrictMath for special cases
Date Fri, 21 Jan 2011 21:57:43 GMT
FastMath atan2 does not agree with StrictMath for special cases
---------------------------------------------------------------

                 Key: MATH-494
                 URL: https://issues.apache.org/jira/browse/MATH-494
             Project: Commons Math
          Issue Type: Bug
            Reporter: Sebb
             Fix For: 2.2, 3.0


FastMath atan2 does not agree with StrictMath for special cases.

There are two sign problems:
atan2(double -0.0, double -Infinity) expected -3.141592653589793 actual 3.141592653589793
entries [1, 4]
atan2(double -0.0, double Infinity) expected -0.0 actual 0.0 entries [1, 5]

A lot of NaNs where there should be a valid return:
atan2(double -1.7976931348623157E308, double -1.7976931348623157E308) expected -2.356194490192345
actual NaN entries [6, 6]
atan2(double -1.7976931348623157E308, double 1.7976931348623157E308) expected -0.7853981633974483
actual NaN entries [6, 7]
atan2(double -1.7976931348623157E308, double -1.1102230246251565E-16) expected -1.5707963267948968
actual NaN entries [6, 8]
atan2(double -1.7976931348623157E308, double 1.1102230246251565E-16) expected -1.5707963267948966
actual NaN entries [6, 9]
atan2(double -1.7976931348623157E308, double -2.2250738585072014E-308) expected -1.5707963267948968
actual NaN entries [6, 10]
atan2(double -1.7976931348623157E308, double 2.2250738585072014E-308) expected -1.5707963267948966
actual NaN entries [6, 11]
atan2(double -1.7976931348623157E308, double -4.9E-324) expected -1.5707963267948968 actual
NaN entries [6, 12]
atan2(double -1.7976931348623157E308, double 4.9E-324) expected -1.5707963267948966 actual
NaN entries [6, 13]
atan2(double 1.7976931348623157E308, double -1.7976931348623157E308) expected 2.356194490192345
actual NaN entries [7, 6]
atan2(double 1.7976931348623157E308, double 1.7976931348623157E308) expected 0.7853981633974483
actual NaN entries [7, 7]
atan2(double 1.7976931348623157E308, double -1.1102230246251565E-16) expected 1.5707963267948968
actual NaN entries [7, 8]
atan2(double 1.7976931348623157E308, double 1.1102230246251565E-16) expected 1.5707963267948966
actual NaN entries [7, 9]
atan2(double 1.7976931348623157E308, double -2.2250738585072014E-308) expected 1.5707963267948968
actual NaN entries [7, 10]
atan2(double 1.7976931348623157E308, double 2.2250738585072014E-308) expected 1.5707963267948966
actual NaN entries [7, 11]
atan2(double 1.7976931348623157E308, double -4.9E-324) expected 1.5707963267948968 actual
NaN entries [7, 12]
atan2(double 1.7976931348623157E308, double 4.9E-324) expected 1.5707963267948966 actual NaN
entries [7, 13]
atan2(double -1.1102230246251565E-16, double -1.7976931348623157E308) expected -3.141592653589793
actual NaN entries [8, 6]
atan2(double -1.1102230246251565E-16, double 1.7976931348623157E308) expected -0.0 actual
NaN entries [8, 7]
atan2(double -1.1102230246251565E-16, double -4.9E-324) expected -1.5707963267948968 actual
NaN entries [8, 12]
atan2(double -1.1102230246251565E-16, double 4.9E-324) expected -1.5707963267948966 actual
NaN entries [8, 13]
atan2(double 1.1102230246251565E-16, double -1.7976931348623157E308) expected 3.141592653589793
actual NaN entries [9, 6]
atan2(double 1.1102230246251565E-16, double 1.7976931348623157E308) expected 0.0 actual NaN
entries [9, 7]
atan2(double 1.1102230246251565E-16, double -4.9E-324) expected 1.5707963267948968 actual
NaN entries [9, 12]
atan2(double 1.1102230246251565E-16, double 4.9E-324) expected 1.5707963267948966 actual NaN
entries [9, 13]
atan2(double -2.2250738585072014E-308, double -1.7976931348623157E308) expected -3.141592653589793
actual NaN entries [10, 6]
atan2(double -2.2250738585072014E-308, double 1.7976931348623157E308) expected -0.0 actual
NaN entries [10, 7]
atan2(double 2.2250738585072014E-308, double -1.7976931348623157E308) expected 3.141592653589793
actual NaN entries [11, 6]
atan2(double 2.2250738585072014E-308, double 1.7976931348623157E308) expected 0.0 actual NaN
entries [11, 7]
atan2(double -4.9E-324, double -1.7976931348623157E308) expected -3.141592653589793 actual
NaN entries [12, 6]
atan2(double -4.9E-324, double 1.7976931348623157E308) expected -0.0 actual NaN entries [12,
7]
atan2(double 4.9E-324, double -1.7976931348623157E308) expected 3.141592653589793 actual NaN
entries [13, 6]
atan2(double 4.9E-324, double 1.7976931348623157E308) expected 0.0 actual NaN entries [13,
7]

There are also some spurious errors, which are due to a bug in the test case - expecting the
values to be exactly the same as StrictMath
atan2(double 2.2250738585072014E-308, double -4.9E-324) expected 1.570796326794897 actual
1.5707963267948968 entries [11, 12]
atan2(double -2.2250738585072014E-308, double -4.9E-324) expected -1.570796326794897 actual
-1.5707963267948968 entries [10, 12]
atan2(double 1.1102230246251565E-16, double -2.2250738585072014E-308) expected 1.5707963267948968
actual 1.5707963267948966 entries [9, 10]
atan2(double -1.1102230246251565E-16, double -2.2250738585072014E-308) expected -1.5707963267948968
actual -1.5707963267948966 entries [8, 10]


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