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Extending Arcsine to the Full Input Range
Using a trigonometric identity, we can extend our arcsine approximation to cover the full range of inputs we expect.
9 hrs ago
7
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Extending Arcsine to the Full Input Range
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12:10
Approximating Arcsine
Everything we learned when approximating Sine translates directly to approximating Arcsine.
Apr 16
20
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Approximating Arcsine
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20
24:35
Q&A #74 (2025-04-01)
Answers to questions from the last Q&A thread.
Apr 2
47
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Q&A #74 (2025-04-01)
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33
1:03:59
March 2025
An Interview with Zen Chief Architect Mike Clark
Zen is one of the most important microarchitectures in the history of the x86 ecosystem.
Mar 24
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Casey Muratori
189
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An Interview with Zen Chief Architect Mike Clark
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18
Coefficient Arrays for Polynomial Evaluation
Now that we know how to use Horner's Rule with FMA to evaluate polynomials, we can boil the entire process down to a simple, reusable technique that…
Mar 6
40
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Coefficient Arrays for Polynomial Evaluation
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3
24:14
Q&A #73 (2025-03-03)
Answers to questions from the last Q&A thread.
Mar 4
52
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Q&A #73 (2025-03-03)
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18
49:45
February 2025
Fused Multiply-Add
Modern CPUs and GPUs have the ability to do multiplication and addition in a single operation, which helps us achieve both better performance and more…
Feb 19
40
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Fused Multiply-Add
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7
31:26
Q&A #72 (2025-02-17)
Answers to questions from the last Q&A thread.
Feb 18
44
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Q&A #72 (2025-02-17)
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17
1:12:48
Horner's Rule
How you factor a polynomial affects both the efficiency and the precision of the resulting computation.
Feb 11
50
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Horner's Rule
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6
28:22
Approximation Using Higher-Power Polynomials
Now that we've done a simple quadratic approximation, it's time to look at polynomials with (a lot) more terms.
Feb 5
42
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Approximation Using Higher-Power Polynomials
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6
25:04
Q&A #71 (2025-02-03)
Answers to questions from the last Q&A thread.
Feb 4
44
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Q&A #71 (2025-02-03)
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30
51:53
January 2025
Math Tester Retcon
I upgraded the math tester. Let's all pretend it was this way the whole time!
Jan 29
29
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Math Tester Retcon
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4
5:50
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