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authortma <tma@edf5b092-35ff-0310-97b2-ce42778d08ea>2005-10-04 15:18:22 +0000
committertma <tma@edf5b092-35ff-0310-97b2-ce42778d08ea>2005-10-04 15:18:22 +0000
commit1c7864f6d4380797b07c7149111066b61f69f689 (patch)
tree59057c26f97fdf846b0193e852eeea7e707a9e20 /lcc/alpha/osf/tst/paranoia.1bk
parent91db83f0cc7c564ff6c853eeb4e790732dae81cd (diff)
downloadioquake3-aero-1c7864f6d4380797b07c7149111066b61f69f689.tar.gz
ioquake3-aero-1c7864f6d4380797b07c7149111066b61f69f689.zip
* Moved lcc and q3asm into code/tools
git-svn-id: svn://svn.icculus.org/quake3/trunk@134 edf5b092-35ff-0310-97b2-ce42778d08ea
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-Lest this program stop prematurely, i.e. before displaying
-
- `END OF TEST',
-
-try to persuade the computer NOT to terminate execution when an
-error like Over/Underflow or Division by Zero occurs, but rather
-to persevere with a surrogate value after, perhaps, displaying some
-warning. If persuasion avails naught, don't despair but run this
-program anyway to see how many milestones it passes, and then
-amend it to make further progress.
-
-Answer questions with Y, y, N or n (unless otherwise indicated).
-
-
-Diagnosis resumes after milestone Number 0 Page: 1
-
-Users are invited to help debug and augment this program so it will
-cope with unanticipated and newly uncovered arithmetic pathologies.
-
-Please send suggestions and interesting results to
- Richard Karpinski
- Computer Center U-76
- University of California
- San Francisco, CA 94143-0704, USA
-
-In doing so, please include the following information:
- Precision: double;
- Version: 10 February 1989;
- Computer:
-
- Compiler:
-
- Optimization level:
-
- Other relevant compiler options:
-
-Diagnosis resumes after milestone Number 1 Page: 2
-
-Running this program should reveal these characteristics:
- Radix = 1, 2, 4, 8, 10, 16, 100, 256 ...
- Precision = number of significant digits carried.
- U2 = Radix/Radix^Precision = One Ulp
- (OneUlpnit in the Last Place) of 1.000xxx .
- U1 = 1/Radix^Precision = One Ulp of numbers a little less than 1.0 .
- Adequacy of guard digits for Mult., Div. and Subt.
- Whether arithmetic is chopped, correctly rounded, or something else
- for Mult., Div., Add/Subt. and Sqrt.
- Whether a Sticky Bit used correctly for rounding.
- UnderflowThreshold = an underflow threshold.
- E0 and PseudoZero tell whether underflow is abrupt, gradual, or fuzzy.
- V = an overflow threshold, roughly.
- V0 tells, roughly, whether Infinity is represented.
- Comparisions are checked for consistency with subtraction
- and for contamination with pseudo-zeros.
- Sqrt is tested. Y^X is not tested.
- Extra-precise subexpressions are revealed but NOT YET tested.
- Decimal-Binary conversion is NOT YET tested for accuracy.
-
-Diagnosis resumes after milestone Number 2 Page: 3
-
-The program attempts to discriminate among
- FLAWs, like lack of a sticky bit,
- Serious DEFECTs, like lack of a guard digit, and
- FAILUREs, like 2+2 == 5 .
-Failures may confound subsequent diagnoses.
-
-The diagnostic capabilities of this program go beyond an earlier
-program called `MACHAR', which can be found at the end of the
-book `Software Manual for the Elementary Functions' (1980) by
-W. J. Cody and W. Waite. Although both programs try to discover
-the Radix, Precision and range (over/underflow thresholds)
-of the arithmetic, this program tries to cope with a wider variety
-of pathologies, and to say how well the arithmetic is implemented.
-
-The program is based upon a conventional radix representation for
-floating-point numbers, but also allows logarithmic encoding
-as used by certain early WANG machines.
-
-BASIC version of this program (C) 1983 by Prof. W. M. Kahan;
-see source comments for more history.
-
-Diagnosis resumes after milestone Number 3 Page: 4
-
-Program is now RUNNING tests on small integers:
--1, 0, 1/2, 1, 2, 3, 4, 5, 9, 27, 32 & 240 are O.K.
-
-Searching for Radix and Precision.
-Radix = 2.000000 .
-Closest relative separation found is U1 = 1.1102230e-16 .
-
-Recalculating radix and precision
- confirms closest relative separation U1 .
-Radix confirmed.
-The number of significant digits of the Radix is 53.000000 .
-
-Diagnosis resumes after milestone Number 30 Page: 5
-
-Subtraction appears to be normalized, as it should be.
-Checking for guard digit in *, /, and -.
- *, /, and - appear to have guard digits, as they should.
-
-Diagnosis resumes after milestone Number 40 Page: 6
-
-Checking rounding on multiply, divide and add/subtract.
-Multiplication appears to round correctly.
-Division appears to round correctly.
-Addition/Subtraction appears to round correctly.
-Checking for sticky bit.
-Sticky bit apparently used correctly.
-
-Does Multiplication commute? Testing on 20 random pairs.
- No failures found in 20 integer pairs.
-
-Running test of square root(x).
-Testing if sqrt(X * X) == X for 20 Integers X.
-Test for sqrt monotonicity.
-sqrt has passed a test for Monotonicity.
-Testing whether sqrt is rounded or chopped.
-Square root appears to be correctly rounded.
-
-Diagnosis resumes after milestone Number 90 Page: 7
-
-Testing powers Z^i for small Integers Z and i.
-... no discrepancis found.
-
-Seeking Underflow thresholds UfThold and E0.
-Smallest strictly positive number found is E0 = 2.22507e-308 .
-Since comparison denies Z = 0, evaluating (Z + Z) / Z should be safe.
-What the machine gets for (Z + Z) / Z is 2.00000000000000000e+00 .
-This is O.K., provided Over/Underflow has NOT just been signaled.
-
-Diagnosis resumes after milestone Number 120 Page: 8
-
-
-FLAW: X = 3.05947655544740190e-308
- is not equal to Z = 2.22507385850720140e-308 .
-yet X - Z yields 0.00000000000000000e+00 .
- Should this NOT signal Underflow, this is a SERIOUS DEFECT
-that causes confusion when innocent statements like
- if (X == Z) ... else ... (f(X) - f(Z)) / (X - Z) ...
-encounter Division by Zero although actually
-X / Z = 1 + 0.375 .
-The Underflow threshold is 2.22507385850720140e-308, below which
-calculation may suffer larger Relative error than merely roundoff.
-Since underflow occurs below the threshold
-UfThold = (2.00000000000000000e+00) ^ (-1.02200000000000000e+03)
-only underflow should afflict the expression
- (2.00000000000000000e+00) ^ (-1.02200000000000000e+03);
-actually calculating yields: 0.00000000000000000e+00 .
-This computed value is O.K.
-
-Testing X^((X + 1) / (X - 1)) vs. exp(2) = 7.38905609893065220e+00 as X -> 1.
-Accuracy seems adequate.
-Testing powers Z^Q at four nearly extreme values.
- ... no discrepancies found.
-
-
-Diagnosis resumes after milestone Number 160 Page: 9
-
-Searching for Overflow threshold:
-This may generate an error.
-
-* * * FLOATING-POINT ERROR * * *
-Can `Z = -Y' overflow?
-Trying it on Y = -8.98846567431157950e+307 .
-Seems O.K.
-Overflow threshold is V = 1.79769313486231570e+308 .
-There is no saturation value because the system traps on overflow.
-No Overflow should be signaled for V * 1 = 1.79769313486231570e+308
- nor for V / 1 = 1.79769313486231570e+308 .
-Any overflow signal separating this * from the one
-above is a DEFECT.
-
-
-Diagnosis resumes after milestone Number 190 Page: 10
-
-
-What message and/or values does Division by Zero produce?
- Trying to compute 1 / 0 produces ...
-* * * FLOATING-POINT ERROR * * *
-
- Trying to compute 0 / 0 produces ...
-* * * FLOATING-POINT ERROR * * *
-
-Diagnosis resumes after milestone Number 220 Page: 11
-
-
-
-No failures, defects nor flaws have been discovered.
-Rounding appears to conform to the proposed IEEE standard P754,
-except for possibly Double Rounding during Gradual Underflow.
-The arithmetic diagnosed appears to be Excellent!
-
-A total of 3 floating point exceptions were registered.
-END OF TEST.