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Patch by Nadav Horesh to make acosh and asinh better.
Tim posted a long comment to python-dev (subject: "Controversial patch (cmath)"; date: 6/29/00). The conclusion is that this whole module stinks and this patch isn't perfect, but it's better than the acosh and asinh we had, so let's check it in.
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@ -57,8 +57,11 @@ Return the arc cosine of x.";
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static Py_complex c_acosh(x)
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Py_complex x;
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{
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return c_log(c_sum(x,c_prod(c_i,
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c_sqrt(c_diff(c_1,c_prod(x,x))))));
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Py_complex z;
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z = c_sqrt(c_half);
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z = c_log(c_prod(z, c_sum(c_sqrt(c_sum(x,c_1)),
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c_sqrt(c_diff(x,c_1)))));
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return c_sum(z, z);
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}
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static char c_acosh_doc [] =
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@ -70,8 +73,11 @@ Return the hyperbolic arccosine of x.";
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static Py_complex c_asin(x)
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Py_complex x;
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{
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return c_neg(c_prodi(c_log(c_sum(c_prod(c_i,x),
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c_sqrt(c_diff(c_1,c_prod(x,x)))))));
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Py_complex z;
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z = c_sqrt(c_half);
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z = c_log(c_prod(z, c_sum(c_sqrt(c_sum(x,c_i)),
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c_sqrt(c_diff(x,c_i)))));
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return c_sum(z, z);
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}
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static char c_asin_doc [] =
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@ -85,9 +91,8 @@ static Py_complex c_asinh(x)
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{
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/* Break up long expression for WATCOM */
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Py_complex z;
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z = c_sum(c_1,c_prod(x,x));
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z = c_diff(c_sqrt(z),x);
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return c_neg(c_log(z));
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z = c_sum(c_1,c_prod(x, x));
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return c_log(c_sum(c_sqrt(z), x));
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}
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static char c_asinh_doc [] =
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