Mechanical edits just so I can read it.
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273ad453f5
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@ -28,10 +28,6 @@ static Py_complex c_1 = {1., 0.};
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static Py_complex c_half = {0.5, 0.};
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static Py_complex c_i = {0., 1.};
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static Py_complex c_i2 = {0., 0.5};
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#if 0
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static Py_complex c_mi = {0., -1.};
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static Py_complex c_pi2 = {M_PI/2., 0.};
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#endif
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/* forward declarations */
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staticforward Py_complex c_log(Py_complex);
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@ -39,19 +35,21 @@ staticforward Py_complex c_prodi(Py_complex);
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staticforward Py_complex c_sqrt(Py_complex);
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static Py_complex c_acos(Py_complex x)
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static Py_complex
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c_acos(Py_complex x)
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{
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return c_neg(c_prodi(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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}
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static char c_acos_doc [] =
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"acos(x)\n\
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\n\
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Return the arc cosine of x.";
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static char c_acos_doc[] =
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"acos(x)\n"
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"\n"
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"Return the arc cosine of x.";
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static Py_complex c_acosh(Py_complex x)
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static Py_complex
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c_acosh(Py_complex x)
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{
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Py_complex z;
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z = c_sqrt(c_half);
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@ -60,28 +58,30 @@ static Py_complex c_acosh(Py_complex x)
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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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"acosh(x)\n\
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\n\
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Return the hyperbolic arccosine of x.";
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static char c_acosh_doc[] =
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"acosh(x)\n"
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"\n"
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"Return the hyperbolic arccosine of x.";
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static Py_complex c_asin(Py_complex x)
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static Py_complex
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c_asin(Py_complex x)
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{
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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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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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"asin(x)\n\
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\n\
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Return the arc sine of x.";
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static char c_asin_doc[] =
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"asin(x)\n"
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"\n"
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"Return the arc sine of x.";
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static Py_complex c_asinh(Py_complex x)
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static Py_complex
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c_asinh(Py_complex 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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@ -89,35 +89,38 @@ static Py_complex c_asinh(Py_complex 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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"asinh(x)\n\
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\n\
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Return the hyperbolic arc sine of x.";
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static char c_asinh_doc[] =
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"asinh(x)\n"
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"\n"
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"Return the hyperbolic arc sine of x.";
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static Py_complex c_atan(Py_complex x)
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static Py_complex
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c_atan(Py_complex x)
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{
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return c_prod(c_i2,c_log(c_quot(c_sum(c_i,x),c_diff(c_i,x))));
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}
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static char c_atan_doc [] =
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"atan(x)\n\
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\n\
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Return the arc tangent of x.";
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static char c_atan_doc[] =
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"atan(x)\n"
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"\n"
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"Return the arc tangent of x.";
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static Py_complex c_atanh(Py_complex x)
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static Py_complex
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c_atanh(Py_complex x)
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{
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return c_prod(c_half,c_log(c_quot(c_sum(c_1,x),c_diff(c_1,x))));
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}
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static char c_atanh_doc [] =
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"atanh(x)\n\
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\n\
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Return the hyperbolic arc tangent of x.";
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static char c_atanh_doc[] =
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"atanh(x)\n"
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"\n"
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"Return the hyperbolic arc tangent of x.";
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static Py_complex c_cos(Py_complex x)
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static Py_complex
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c_cos(Py_complex x)
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{
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Py_complex r;
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r.real = cos(x.real)*cosh(x.imag);
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@ -125,13 +128,14 @@ static Py_complex c_cos(Py_complex x)
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return r;
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}
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static char c_cos_doc [] =
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"cos(x)\n\
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\n\
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Return the cosine of x.";
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static char c_cos_doc[] =
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"cos(x)\n"
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"n"
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"Return the cosine of x.";
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static Py_complex c_cosh(Py_complex x)
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static Py_complex
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c_cosh(Py_complex x)
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{
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Py_complex r;
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r.real = cos(x.imag)*cosh(x.real);
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@ -139,13 +143,14 @@ static Py_complex c_cosh(Py_complex x)
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return r;
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}
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static char c_cosh_doc [] =
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"cosh(x)\n\
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\n\
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Return the hyperbolic cosine of x.";
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static char c_cosh_doc[] =
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"cosh(x)\n"
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"n"
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"Return the hyperbolic cosine of x.";
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static Py_complex c_exp(Py_complex x)
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static Py_complex
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c_exp(Py_complex x)
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{
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Py_complex r;
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double l = exp(x.real);
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@ -154,13 +159,14 @@ static Py_complex c_exp(Py_complex x)
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return r;
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}
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static char c_exp_doc [] =
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"exp(x)\n\
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\n\
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Return the exponential value e**x.";
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static char c_exp_doc[] =
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"exp(x)\n"
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"\n"
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"Return the exponential value e**x.";
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static Py_complex c_log(Py_complex x)
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static Py_complex
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c_log(Py_complex x)
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{
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Py_complex r;
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double l = hypot(x.real,x.imag);
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@ -169,13 +175,14 @@ static Py_complex c_log(Py_complex x)
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return r;
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}
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static char c_log_doc [] =
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"log(x)\n\
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\n\
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Return the natural logarithm of x.";
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static char c_log_doc[] =
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"log(x)\n"
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"\n"
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"Return the natural logarithm of x.";
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static Py_complex c_log10(Py_complex x)
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static Py_complex
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c_log10(Py_complex x)
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{
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Py_complex r;
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double l = hypot(x.real,x.imag);
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return r;
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}
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static char c_log10_doc [] =
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"log10(x)\n\
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\n\
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Return the base-10 logarithm of x.";
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static char c_log10_doc[] =
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"log10(x)\n"
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"\n"
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"Return the base-10 logarithm of x.";
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/* internal function not available from Python */
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static Py_complex c_prodi(Py_complex x)
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static Py_complex
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c_prodi(Py_complex x)
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{
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Py_complex r;
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r.real = -x.imag;
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}
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static Py_complex c_sin(Py_complex x)
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static Py_complex
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c_sin(Py_complex x)
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{
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Py_complex r;
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r.real = sin(x.real)*cosh(x.imag);
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r.imag = cos(x.real)*sinh(x.imag);
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r.real = sin(x.real) * cosh(x.imag);
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r.imag = cos(x.real) * sinh(x.imag);
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return r;
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}
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static char c_sin_doc [] =
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"sin(x)\n\
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\n\
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Return the sine of x.";
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static char c_sin_doc[] =
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"sin(x)\n"
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"\n"
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"Return the sine of x.";
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static Py_complex c_sinh(Py_complex x)
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static Py_complex
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c_sinh(Py_complex x)
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{
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Py_complex r;
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r.real = cos(x.imag)*sinh(x.real);
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r.imag = sin(x.imag)*cosh(x.real);
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r.real = cos(x.imag) * sinh(x.real);
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r.imag = sin(x.imag) * cosh(x.real);
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return r;
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}
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static char c_sinh_doc [] =
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"sinh(x)\n\
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\n\
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Return the hyperbolic sine of x.";
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static char c_sinh_doc[] =
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"sinh(x)\n"
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"\n"
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"Return the hyperbolic sine of x.";
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static Py_complex c_sqrt(Py_complex x)
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static Py_complex
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c_sqrt(Py_complex x)
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{
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Py_complex r;
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double s,d;
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return r;
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}
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static char c_sqrt_doc [] =
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"sqrt(x)\n\
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\n\
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Return the square root of x.";
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static char c_sqrt_doc[] =
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"sqrt(x)\n"
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"\n"
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"Return the square root of x.";
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static Py_complex c_tan(Py_complex x)
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static Py_complex
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c_tan(Py_complex x)
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{
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Py_complex r;
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double sr,cr,shi,chi;
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cr = cos(x.real);
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shi = sinh(x.imag);
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chi = cosh(x.imag);
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rs = sr*chi;
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is = cr*shi;
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rc = cr*chi;
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ic = -sr*shi;
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d = rc*rc + ic*ic;
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r.real = (rs*rc+is*ic)/d;
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r.imag = (is*rc-rs*ic)/d;
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rs = sr * chi;
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is = cr * shi;
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rc = cr * chi;
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ic = -sr * shi;
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d = rc*rc + ic * ic;
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r.real = (rs*rc + is*ic) / d;
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r.imag = (is*rc - rs*ic) / d;
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return r;
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}
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static char c_tan_doc [] =
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"tan(x)\n\
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\n\
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Return the tangent of x.";
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static char c_tan_doc[] =
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"tan(x)\n"
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"\n"
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"Return the tangent of x.";
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static Py_complex c_tanh(Py_complex x)
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static Py_complex
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c_tanh(Py_complex x)
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{
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Py_complex r;
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double si,ci,shr,chr;
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@ -295,20 +308,20 @@ static Py_complex c_tanh(Py_complex x)
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ci = cos(x.imag);
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shr = sinh(x.real);
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chr = cosh(x.real);
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rs = ci*shr;
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is = si*chr;
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rc = ci*chr;
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ic = si*shr;
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rs = ci * shr;
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is = si * chr;
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rc = ci * chr;
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ic = si * shr;
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d = rc*rc + ic*ic;
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r.real = (rs*rc+is*ic)/d;
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r.imag = (is*rc-rs*ic)/d;
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r.real = (rs*rc + is*ic) / d;
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r.imag = (is*rc - rs*ic) / d;
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return r;
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}
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static char c_tanh_doc [] =
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"tanh(x)\n\
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\n\
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Return the hyperbolic tangent of x.";
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static char c_tanh_doc[] =
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"tanh(x)\n"
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"\n"
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"Return the hyperbolic tangent of x.";
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/* And now the glue to make them available from Python: */
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@ -321,7 +334,7 @@ math_error(void)
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else if (errno == ERANGE)
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PyErr_SetString(PyExc_OverflowError, "math range error");
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else /* Unexpected math error */
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PyErr_SetFromErrno(PyExc_ValueError);
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PyErr_SetFromErrno(PyExc_ValueError);
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return NULL;
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}
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@ -366,44 +379,27 @@ FUNC1(cmath_tan, c_tan)
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FUNC1(cmath_tanh, c_tanh)
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static char module_doc [] =
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"This module is always available. It provides access to mathematical\n\
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functions for complex numbers.";
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static char module_doc[] =
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"This module is always available. It provides access to mathematical\n"
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"functions for complex numbers.";
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static PyMethodDef cmath_methods[] = {
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{"acos", cmath_acos,
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METH_VARARGS, c_acos_doc},
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{"acosh", cmath_acosh,
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METH_VARARGS, c_acosh_doc},
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{"asin", cmath_asin,
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METH_VARARGS, c_asin_doc},
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{"asinh", cmath_asinh,
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METH_VARARGS, c_asinh_doc},
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{"atan", cmath_atan,
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METH_VARARGS, c_atan_doc},
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{"atanh", cmath_atanh,
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METH_VARARGS, c_atanh_doc},
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{"cos", cmath_cos,
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METH_VARARGS, c_cos_doc},
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{"cosh", cmath_cosh,
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METH_VARARGS, c_cosh_doc},
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{"exp", cmath_exp,
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METH_VARARGS, c_exp_doc},
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{"log", cmath_log,
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METH_VARARGS, c_log_doc},
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{"log10", cmath_log10,
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METH_VARARGS, c_log10_doc},
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{"sin", cmath_sin,
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METH_VARARGS, c_sin_doc},
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{"sinh", cmath_sinh,
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METH_VARARGS, c_sinh_doc},
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{"sqrt", cmath_sqrt,
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METH_VARARGS, c_sqrt_doc},
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{"tan", cmath_tan,
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METH_VARARGS, c_tan_doc},
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{"tanh", cmath_tanh,
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METH_VARARGS, c_tanh_doc},
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{"acos", cmath_acos, METH_VARARGS, c_acos_doc},
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{"acosh", cmath_acosh, METH_VARARGS, c_acosh_doc},
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{"asin", cmath_asin, METH_VARARGS, c_asin_doc},
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{"asinh", cmath_asinh, METH_VARARGS, c_asinh_doc},
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{"atan", cmath_atan, METH_VARARGS, c_atan_doc},
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{"atanh", cmath_atanh, METH_VARARGS, c_atanh_doc},
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{"cos", cmath_cos, METH_VARARGS, c_cos_doc},
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{"cosh", cmath_cosh, METH_VARARGS, c_cosh_doc},
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{"exp", cmath_exp, METH_VARARGS, c_exp_doc},
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{"log", cmath_log, METH_VARARGS, c_log_doc},
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{"log10", cmath_log10, METH_VARARGS, c_log10_doc},
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{"sin", cmath_sin, METH_VARARGS, c_sin_doc},
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{"sinh", cmath_sinh, METH_VARARGS, c_sinh_doc},
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{"sqrt", cmath_sqrt, METH_VARARGS, c_sqrt_doc},
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{"tan", cmath_tan, METH_VARARGS, c_tan_doc},
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{"tanh", cmath_tanh, METH_VARARGS, c_tanh_doc},
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{NULL, NULL} /* sentinel */
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};
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@ -411,7 +407,7 @@ DL_EXPORT(void)
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initcmath(void)
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{
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PyObject *m, *d, *v;
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m = Py_InitModule3("cmath", cmath_methods, module_doc);
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d = PyModule_GetDict(m);
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PyDict_SetItemString(d, "pi",
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