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Compute acos with less cancellation near x=1 #217

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Merged
merged 13 commits into from
Jan 23, 2025
Merged

Compute acos with less cancellation near x=1 #217

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075521e
a new failing test case
AldenMB Feb 13, 2023
05c3fd3
test case finder
AldenMB Feb 13, 2023
4c52aec
additional falsifyer
AldenMB Feb 13, 2023
0f36747
parametrize tests
AldenMB Feb 13, 2023
727eae8
check more cases
AldenMB Feb 13, 2023
2498123
test acosh
AldenMB Feb 13, 2023
0316809
remove extranous zero
AldenMB Feb 13, 2023
e634266
remove extraneous parameter
AldenMB Feb 13, 2023
2b1298c
use a method less prone to cancellation near x=1
AldenMB Feb 13, 2023
b3142b4
new falisifying test for sine
AldenMB Feb 13, 2023
6490629
search for more exampoles
AldenMB Feb 13, 2023
780480c
additional cosine test showing cancellation
AldenMB Feb 13, 2023
d130921
additional case showing loss of significance near x=1
AldenMB Feb 13, 2023
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additional cosine test showing cancellation
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@AldenMB
AldenMB committed Feb 13, 2023
commit 780480cc2ac7f4a95f4de5501c0c360b53da90f0
1 change: 1 addition & 0 deletions test/modules/acos.js
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Original file line number Diff line number Diff line change
Expand Up @@ -70,6 +70,7 @@ T('acos', function () {
t('0.0623252416', 19, 0, '1.508430664767542249');
t('0.9999999297625', 14, 4, '0.00037479994883195');
t('0.99999999467518', 14, 4, '0.0001031970930281');
t('0.9999999999999999995', 25, 4, '0.000000001000000000000000000041667');

/*
t('0.95', 6, 5, '0.31756');
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