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............................Contents
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Abstract | 1 |
Introduction | 2 |
Rounding Error | 2 |
| ..Floating-point Formats | 3 |
| ..Relative Error and Ulps | 5 |
| ..Guard Digits | 6 |
| ..Cancellation | 8 |
The IEEE Standard | 17 |
| ..Formats and Operations | 18 |
| ..Special Quantities | 24 |
| ..NaNs | 25 |
| ..Exceptions, Flags and Trap Handlers | 32 |
Systems Aspects | 37 |
| ..Instruction Sets | 38 |
| ..Languages and Compilers | 40 |
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| ..Exception Handling | 48 |
The Details | 50 |
| ..Rounding Error | 50 |
| ..Errors In Summation | 61 |
Summary | 62 |
Acknowledgments | 63 |
References | 63 |
Theorem 14 and Theorem 8 | 65 |
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