Computer, Enhance!
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Approximating Arcsine
Everything we learned when approximating Sine translates directly to approximating Arcsine.
Apr 16
17
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Approximating Arcsine
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17
24:35
Q&A #74 (2025-04-01)
Answers to questions from the last Q&A thread.
Apr 2
45
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Q&A #74 (2025-04-01)
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32
1:03:59
March 2025
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
39
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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
49
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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
41
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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
28
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Math Tester Retcon
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4
5:50
Range Reduction
By exploiting symmetry, we can get better approximations without increasing the polynomial power.
Jan 27
47
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Range Reduction
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1
16:32
Function Approximation
How do we calculate values for elementary functions the CPU does not provide?
Jan 21
58
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Function Approximation
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5
56:28
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