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GH-100425: Improve accuracy of builtin sum() for float inputs by rhettinger · Pull Request #100426 · python/cpython · GitHub
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Add tests and comments
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rhettinger committed Dec 22, 2022
commit 89e46c83b5057ad367aa826c5040d752a3ba41d8
4 changes: 4 additions & 0 deletions Lib/test/test_builtin.py
Original file line number Diff line number Diff line change
Expand Up @@ -1618,6 +1618,10 @@ def test_sum(self):
self.assertEqual(repr(sum([-0.0], -0.0)), '-0.0')
self.assertEqual(repr(sum([], -0.0)), '-0.0')

# Accuracy tests
self.assertEqual(sum([0.1] * 10), 1.0)
self.assertEqual(sum([1.0, 10E100, 1.0, -10E100]), 2.0)

self.assertRaises(TypeError, sum)
self.assertRaises(TypeError, sum, 42)
self.assertRaises(TypeError, sum, ['a', 'b', 'c'])
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3 changes: 2 additions & 1 deletion Python/bltinmodule.c
Original file line number Diff line number Diff line change
Expand Up @@ -2547,7 +2547,8 @@ builtin_sum_impl(PyObject *module, PyObject *iterable, PyObject *start)
return PyFloat_FromDouble(f_result);
}
if (PyFloat_CheckExact(item)) {
// Neumaier compensated summation
// Improved Kahan–Babuška algorithm by Arnold Neumaier
// https://www.mat.univie.ac.at/~neum/scan/01.pdf
x = PyFloat_AS_DOUBLE(item);
t = f_result + x;
if (fabs(f_result) >= fabs(x)) {
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