Computer, Enhance!
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Removing Waste
As we saw in the very beginning of the Performance Aware Programming series, a CPU can be brought to a crawl by drowning it in unnecessary work. How…
May 15
34
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Removing Waste
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1
27:51
Our Very Own Haversine
We've built all the pieces - now it's time to assemble them into a haversine distance function that uses only math we've hand-coded ourselves so we can…
May 5
28
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Our Very Own Haversine
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1
9:02
Q&A #75 (2025-05-02)
Answers to questions from the last Q&A thread.
May 2
29
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Q&A #75 (2025-05-02)
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24
1:00:05
April 2025
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.
Apr 24
29
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Extending Arcsine to the Full Input Range
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1
12:10
Approximating Arcsine
Everything we learned when approximating Sine translates directly to approximating Arcsine.
Apr 16
29
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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
51
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Q&A #74 (2025-04-01)
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40
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
•
Casey Muratori
196
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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
44
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Coefficient Arrays for Polynomial Evaluation
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5
24:14
Q&A #73 (2025-03-03)
Answers to questions from the last Q&A thread.
Mar 4
53
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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
44
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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
45
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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
55
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Horner's Rule
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6
28:22
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