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Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from

Browse source 
svn+ssh://pythondev@svn.python.org/python/trunk

........
  r62386 | christian.heimes | 2008-04-19 04:23:57 +0200 (Sat, 19 Apr 2008) | 2 lines

  Added kill, terminate and send_signal to subprocess.Popen
  The bits and pieces for the Windows side were already in place. The POSIX side is trivial (as usual) and uses os.kill().
........
  r62387 | georg.brandl | 2008-04-19 10:23:59 +0200 (Sat, 19 Apr 2008) | 2 lines

  Fix-up docs for revision 62386.
........
  r62389 | georg.brandl | 2008-04-19 18:57:43 +0200 (Sat, 19 Apr 2008) | 2 lines

  #2369: clarify that copyfile() doesn't take a target directory.
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  r62390 | georg.brandl | 2008-04-19 18:58:28 +0200 (Sat, 19 Apr 2008) | 2 lines

  #2634: clarify meaning of env parameter to spawn/exec*e.
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  r62391 | georg.brandl | 2008-04-19 18:58:49 +0200 (Sat, 19 Apr 2008) | 2 lines

  #2633: clarify meaning of env parameter.
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  r62392 | georg.brandl | 2008-04-19 18:59:16 +0200 (Sat, 19 Apr 2008) | 2 lines

  #2631: clarify IMPORT_NAME semantics.
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  r62393 | georg.brandl | 2008-04-19 19:00:14 +0200 (Sat, 19 Apr 2008) | 2 lines

  :func: et al. should *not* include the parens.
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  r62396 | mark.dickinson | 2008-04-19 20:51:48 +0200 (Sat, 19 Apr 2008) | 5 lines

  Additional tests for math.pow, and extra special-case
  handling code in math.pow, in the hope of making all
  tests pass on the alpha Tru64 buildbot.
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  r62400 | mark.dickinson | 2008-04-19 21:41:52 +0200 (Sat, 19 Apr 2008) | 3 lines

  Additional special-case handling for math.pow.
  Windows/VS2008 doesn't like (-1)**(+-inf).
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  r62401 | benjamin.peterson | 2008-04-19 21:47:34 +0200 (Sat, 19 Apr 2008) | 2 lines

  Complete documentation for errors argument of io's open and TextIOWrapper
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  r62402 | mark.dickinson | 2008-04-19 22:31:16 +0200 (Sat, 19 Apr 2008) | 2 lines

  Document updates to math and cmath modules.
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  r62407 | georg.brandl | 2008-04-19 23:28:38 +0200 (Sat, 19 Apr 2008) | 2 lines

  Update template for newest Sphinx.
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  r62409 | mark.dickinson | 2008-04-19 23:35:35 +0200 (Sat, 19 Apr 2008) | 5 lines

  Correct documentation for math.pow;
  0**nan is nan, not 0.  (But nan**0 and 1**nan are 1.)

  Also fix minor typo: 'quite NaN' -> 'quiet NaN'
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  r62410 | mark.dickinson | 2008-04-19 23:49:22 +0200 (Sat, 19 Apr 2008) | 4 lines

  Move asinh documentation to the proper place.
  Remove meaningless 'in radians' from inverse
  hyperbolic functions.
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  r62412 | mark.dickinson | 2008-04-20 03:22:30 +0200 (Sun, 20 Apr 2008) | 5 lines

  Report additional diagnostic information in
  test_math, to help track down debian-alpha
  buildbot failure.
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  r62413 | mark.dickinson | 2008-04-20 03:39:24 +0200 (Sun, 20 Apr 2008) | 3 lines

  FreeBSD doesn't follow C99 for modf(inf); so add explicit
  special-value handling to math.modf code.
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  r62414 | mark.dickinson | 2008-04-20 06:13:13 +0200 (Sun, 20 Apr 2008) | 5 lines

  Yet more explicit special case handling to make
  math.pow behave on alpha Tru64.  All IEEE 754
  special values are now handled directly; only
  the finite**finite case is handled by libm.
........
  r62418 | mark.dickinson | 2008-04-20 18:13:17 +0200 (Sun, 20 Apr 2008) | 7 lines

  Issue 2662: Initialize special value tables dynamically (i.e. when
  cmath module is loaded) instead of statically. This fixes compile-time
  problems on platforms where HUGE_VAL is an extern variable rather than
  a constant.

  Thanks Hirokazu Yamamoto for the patch.
........
  r62419 | andrew.kuchling | 2008-04-20 18:54:02 +0200 (Sun, 20 Apr 2008) | 1 line

  Move description of math module changes; various edits to description of cmath changes
........
This commit is contained in:
Christian Heimes 2008-04-20 21:01:16 +00:00
parent 58f9e4f347
commit a342c013fc
15 changed files with 585 additions and 210 deletions
Download patch file Download diff file Expand all files Collapse all files

237
Modules/cmathmodule.c
View file

@ -107,16 +107,8 @@ special_type(double d)
#define P14 0.25*Py_MATH_PI
#define P12 0.5*Py_MATH_PI
#define P34 0.75*Py_MATH_PI
#ifdef MS_WINDOWS
/* On Windows HUGE_VAL is an extern variable and not a constant. Since the
special value arrays need a constant we have to roll our own infinity
and nan. */
# define INF (DBL_MAX*DBL_MAX)
# define N (INF*0.)
#else
# define INF Py_HUGE_VAL
# define N Py_NAN
#endif /* MS_WINDOWS */
#define INF Py_HUGE_VAL
#define N Py_NAN
#define U -9.5426319407711027e33 /* unlikely value, used as placeholder */
/* First, the C functions that do the real work. Each of the c_*
@ -128,15 +120,7 @@ special_type(double d)
raised.
*/
static Py_complex acos_special_values[7][7] = {
{{P34,INF},{P,INF}, {P,INF}, {P,-INF}, {P,-INF}, {P34,-INF},{N,INF}},
{{P12,INF},{U,U}, {U,U}, {U,U}, {U,U}, {P12,-INF},{N,N}},
{{P12,INF},{U,U}, {P12,0.},{P12,-0.},{U,U}, {P12,-INF},{P12,N}},
{{P12,INF},{U,U}, {P12,0.},{P12,-0.},{U,U}, {P12,-INF},{P12,N}},
{{P12,INF},{U,U}, {U,U}, {U,U}, {U,U}, {P12,-INF},{N,N}},
{{P14,INF},{0.,INF},{0.,INF},{0.,-INF},{0.,-INF},{P14,-INF},{N,INF}},
{{N,INF}, {N,N}, {N,N}, {N,N}, {N,N}, {N,-INF}, {N,N}}
};
static Py_complex acos_special_values[7][7];
static Py_complex
c_acos(Py_complex z)
@ -177,15 +161,7 @@ PyDoc_STRVAR(c_acos_doc,
"Return the arc cosine of x.");
static Py_complex acosh_special_values[7][7] = {
{{INF,-P34},{INF,-P}, {INF,-P}, {INF,P}, {INF,P}, {INF,P34},{INF,N}},
{{INF,-P12},{U,U}, {U,U}, {U,U}, {U,U}, {INF,P12},{N,N}},
{{INF,-P12},{U,U}, {0.,-P12},{0.,P12},{U,U}, {INF,P12},{N,N}},
{{INF,-P12},{U,U}, {0.,-P12},{0.,P12},{U,U}, {INF,P12},{N,N}},
{{INF,-P12},{U,U}, {U,U}, {U,U}, {U,U}, {INF,P12},{N,N}},
{{INF,-P14},{INF,-0.},{INF,-0.},{INF,0.},{INF,0.},{INF,P14},{INF,N}},
{{INF,N}, {N,N}, {N,N}, {N,N}, {N,N}, {INF,N}, {N,N}}
};
static Py_complex acosh_special_values[7][7];
static Py_complex
c_acosh(Py_complex z)
@ -237,15 +213,7 @@ PyDoc_STRVAR(c_asin_doc,
"Return the arc sine of x.");
static Py_complex asinh_special_values[7][7] = {
{{-INF,-P14},{-INF,-0.},{-INF,-0.},{-INF,0.},{-INF,0.},{-INF,P14},{-INF,N}},
{{-INF,-P12},{U,U}, {U,U}, {U,U}, {U,U}, {-INF,P12},{N,N}},
{{-INF,-P12},{U,U}, {-0.,-0.}, {-0.,0.}, {U,U}, {-INF,P12},{N,N}},
{{INF,-P12}, {U,U}, {0.,-0.}, {0.,0.}, {U,U}, {INF,P12}, {N,N}},
{{INF,-P12}, {U,U}, {U,U}, {U,U}, {U,U}, {INF,P12}, {N,N}},
{{INF,-P14}, {INF,-0.}, {INF,-0.}, {INF,0.}, {INF,0.}, {INF,P14}, {INF,N}},
{{INF,N}, {N,N}, {N,-0.}, {N,0.}, {N,N}, {INF,N}, {N,N}}
};
static Py_complex asinh_special_values[7][7];
static Py_complex
c_asinh(Py_complex z)
@ -323,15 +291,7 @@ PyDoc_STRVAR(c_atan_doc,
"Return the arc tangent of x.");
static Py_complex atanh_special_values[7][7] = {
{{-0.,-P12},{-0.,-P12},{-0.,-P12},{-0.,P12},{-0.,P12},{-0.,P12},{-0.,N}},
{{-0.,-P12},{U,U}, {U,U}, {U,U}, {U,U}, {-0.,P12},{N,N}},
{{-0.,-P12},{U,U}, {-0.,-0.}, {-0.,0.}, {U,U}, {-0.,P12},{-0.,N}},
{{0.,-P12}, {U,U}, {0.,-0.}, {0.,0.}, {U,U}, {0.,P12}, {0.,N}},
{{0.,-P12}, {U,U}, {U,U}, {U,U}, {U,U}, {0.,P12}, {N,N}},
{{0.,-P12}, {0.,-P12}, {0.,-P12}, {0.,P12}, {0.,P12}, {0.,P12}, {0.,N}},
{{0.,-P12}, {N,N}, {N,N}, {N,N}, {N,N}, {0.,P12}, {N,N}}
};
static Py_complex atanh_special_values[7][7];
static Py_complex
c_atanh(Py_complex z)
@ -404,15 +364,7 @@ PyDoc_STRVAR(c_cos_doc,
/* cosh(infinity + i*y) needs to be dealt with specially */
static Py_complex cosh_special_values[7][7] = {
{{INF,N},{U,U},{INF,0.}, {INF,-0.},{U,U},{INF,N},{INF,N}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{N,0.}, {U,U},{1.,0.}, {1.,-0.}, {U,U},{N,0.}, {N,0.}},
{{N,0.}, {U,U},{1.,-0.}, {1.,0.}, {U,U},{N,0.}, {N,0.}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{INF,N},{U,U},{INF,-0.},{INF,0.}, {U,U},{INF,N},{INF,N}},
{{N,N}, {N,N},{N,0.}, {N,0.}, {N,N},{N,N}, {N,N}}
};
static Py_complex cosh_special_values[7][7];
static Py_complex
c_cosh(Py_complex z)
@ -472,15 +424,7 @@ PyDoc_STRVAR(c_cosh_doc,
/* exp(infinity + i*y) and exp(-infinity + i*y) need special treatment for
finite y */
static Py_complex exp_special_values[7][7] = {
{{0.,0.},{U,U},{0.,-0.}, {0.,0.}, {U,U},{0.,0.},{0.,0.}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{N,N}, {U,U},{1.,-0.}, {1.,0.}, {U,U},{N,N}, {N,N}},
{{N,N}, {U,U},{1.,-0.}, {1.,0.}, {U,U},{N,N}, {N,N}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{INF,N},{U,U},{INF,-0.},{INF,0.},{U,U},{INF,N},{INF,N}},
{{N,N}, {N,N},{N,-0.}, {N,0.}, {N,N},{N,N}, {N,N}}
};
static Py_complex exp_special_values[7][7];
static Py_complex
c_exp(Py_complex z)
@ -538,15 +482,7 @@ PyDoc_STRVAR(c_exp_doc,
"Return the exponential value e**x.");
static Py_complex log_special_values[7][7] = {
{{INF,-P34},{INF,-P}, {INF,-P}, {INF,P}, {INF,P}, {INF,P34}, {INF,N}},
{{INF,-P12},{U,U}, {U,U}, {U,U}, {U,U}, {INF,P12}, {N,N}},
{{INF,-P12},{U,U}, {-INF,-P}, {-INF,P}, {U,U}, {INF,P12}, {N,N}},
{{INF,-P12},{U,U}, {-INF,-0.},{-INF,0.},{U,U}, {INF,P12}, {N,N}},
{{INF,-P12},{U,U}, {U,U}, {U,U}, {U,U}, {INF,P12}, {N,N}},
{{INF,-P14},{INF,-0.},{INF,-0.}, {INF,0.}, {INF,0.},{INF,P14}, {INF,N}},
{{INF,N}, {N,N}, {N,N}, {N,N}, {N,N}, {INF,N}, {N,N}}
};
static Py_complex log_special_values[7][7];
static Py_complex
c_log(Py_complex z)
@ -658,15 +594,7 @@ PyDoc_STRVAR(c_sin_doc,
/* sinh(infinity + i*y) needs to be dealt with specially */
static Py_complex sinh_special_values[7][7] = {
{{INF,N},{U,U},{-INF,-0.},{-INF,0.},{U,U},{INF,N},{INF,N}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{0.,N}, {U,U},{-0.,-0.}, {-0.,0.}, {U,U},{0.,N}, {0.,N}},
{{0.,N}, {U,U},{0.,-0.}, {0.,0.}, {U,U},{0.,N}, {0.,N}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{INF,N},{U,U},{INF,-0.}, {INF,0.}, {U,U},{INF,N},{INF,N}},
{{N,N}, {N,N},{N,-0.}, {N,0.}, {N,N},{N,N}, {N,N}}
};
static Py_complex sinh_special_values[7][7];
static Py_complex
c_sinh(Py_complex z)
@ -723,15 +651,7 @@ PyDoc_STRVAR(c_sinh_doc,
"Return the hyperbolic sine of x.");
static Py_complex sqrt_special_values[7][7] = {
{{INF,-INF},{0.,-INF},{0.,-INF},{0.,INF},{0.,INF},{INF,INF},{N,INF}},
{{INF,-INF},{U,U}, {U,U}, {U,U}, {U,U}, {INF,INF},{N,N}},
{{INF,-INF},{U,U}, {0.,-0.}, {0.,0.}, {U,U}, {INF,INF},{N,N}},
{{INF,-INF},{U,U}, {0.,-0.}, {0.,0.}, {U,U}, {INF,INF},{N,N}},
{{INF,-INF},{U,U}, {U,U}, {U,U}, {U,U}, {INF,INF},{N,N}},
{{INF,-INF},{INF,-0.},{INF,-0.},{INF,0.},{INF,0.},{INF,INF},{INF,N}},
{{INF,-INF},{N,N}, {N,N}, {N,N}, {N,N}, {INF,INF},{N,N}}
};
static Py_complex sqrt_special_values[7][7];
static Py_complex
c_sqrt(Py_complex z)
@ -826,15 +746,7 @@ PyDoc_STRVAR(c_tan_doc,
/* tanh(infinity + i*y) needs to be dealt with specially */
static Py_complex tanh_special_values[7][7] = {
{{-1.,0.},{U,U},{-1.,-0.},{-1.,0.},{U,U},{-1.,0.},{-1.,0.}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{N,N}, {U,U},{-0.,-0.},{-0.,0.},{U,U},{N,N}, {N,N}},
{{N,N}, {U,U},{0.,-0.}, {0.,0.}, {U,U},{N,N}, {N,N}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{1.,0.}, {U,U},{1.,-0.}, {1.,0.}, {U,U},{1.,0.}, {1.,0.}},
{{N,N}, {N,N},{N,-0.}, {N,0.}, {N,N},{N,N}, {N,N}}
};
static Py_complex tanh_special_values[7][7];
static Py_complex
c_tanh(Py_complex z)
@ -1043,15 +955,7 @@ the distance from 0 and phi the phase angle.");
*/
static Py_complex rect_special_values[7][7] = {
{{INF,N},{U,U},{-INF,0.},{-INF,-0.},{U,U},{INF,N},{INF,N}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{0.,0.},{U,U},{-0.,0.}, {-0.,-0.}, {U,U},{0.,0.},{0.,0.}},
{{0.,0.},{U,U},{0.,-0.}, {0.,0.}, {U,U},{0.,0.},{0.,0.}},
{{N,N}, {U,U},{U,U}, {U,U}, {U,U},{N,N}, {N,N}},
{{INF,N},{U,U},{INF,-0.},{INF,0.}, {U,U},{INF,N},{INF,N}},
{{N,N}, {N,N},{N,0.}, {N,0.}, {N,N},{N,N}, {N,N}}
};
static Py_complex rect_special_values[7][7];
static PyObject *
cmath_rect(PyObject *self, PyObject *args)
@ -1176,4 +1080,119 @@ initcmath(void)
PyModule_AddObject(m, "pi",
PyFloat_FromDouble(Py_MATH_PI));
PyModule_AddObject(m, "e", PyFloat_FromDouble(Py_MATH_E));
/* initialize special value tables */
#define INIT_SPECIAL_VALUES(NAME, BODY) { Py_complex* p = (Py_complex*)NAME; BODY }
#define C(REAL, IMAG) p->real = REAL; p->imag = IMAG; ++p;
INIT_SPECIAL_VALUES(acos_special_values, {
C(P34,INF) C(P,INF) C(P,INF) C(P,-INF) C(P,-INF) C(P34,-INF) C(N,INF)
C(P12,INF) C(U,U) C(U,U) C(U,U) C(U,U) C(P12,-INF) C(N,N)
C(P12,INF) C(U,U) C(P12,0.) C(P12,-0.) C(U,U) C(P12,-INF) C(P12,N)
C(P12,INF) C(U,U) C(P12,0.) C(P12,-0.) C(U,U) C(P12,-INF) C(P12,N)
C(P12,INF) C(U,U) C(U,U) C(U,U) C(U,U) C(P12,-INF) C(N,N)
C(P14,INF) C(0.,INF) C(0.,INF) C(0.,-INF) C(0.,-INF) C(P14,-INF) C(N,INF)
C(N,INF) C(N,N) C(N,N) C(N,N) C(N,N) C(N,-INF) C(N,N)
})
INIT_SPECIAL_VALUES(acosh_special_values, {
C(INF,-P34) C(INF,-P) C(INF,-P) C(INF,P) C(INF,P) C(INF,P34) C(INF,N)
C(INF,-P12) C(U,U) C(U,U) C(U,U) C(U,U) C(INF,P12) C(N,N)
C(INF,-P12) C(U,U) C(0.,-P12) C(0.,P12) C(U,U) C(INF,P12) C(N,N)
C(INF,-P12) C(U,U) C(0.,-P12) C(0.,P12) C(U,U) C(INF,P12) C(N,N)
C(INF,-P12) C(U,U) C(U,U) C(U,U) C(U,U) C(INF,P12) C(N,N)
C(INF,-P14) C(INF,-0.) C(INF,-0.) C(INF,0.) C(INF,0.) C(INF,P14) C(INF,N)
C(INF,N) C(N,N) C(N,N) C(N,N) C(N,N) C(INF,N) C(N,N)
})
INIT_SPECIAL_VALUES(asinh_special_values, {
C(-INF,-P14) C(-INF,-0.) C(-INF,-0.) C(-INF,0.) C(-INF,0.) C(-INF,P14) C(-INF,N)
C(-INF,-P12) C(U,U) C(U,U) C(U,U) C(U,U) C(-INF,P12) C(N,N)
C(-INF,-P12) C(U,U) C(-0.,-0.) C(-0.,0.) C(U,U) C(-INF,P12) C(N,N)
C(INF,-P12) C(U,U) C(0.,-0.) C(0.,0.) C(U,U) C(INF,P12) C(N,N)
C(INF,-P12) C(U,U) C(U,U) C(U,U) C(U,U) C(INF,P12) C(N,N)
C(INF,-P14) C(INF,-0.) C(INF,-0.) C(INF,0.) C(INF,0.) C(INF,P14) C(INF,N)
C(INF,N) C(N,N) C(N,-0.) C(N,0.) C(N,N) C(INF,N) C(N,N)
})
INIT_SPECIAL_VALUES(atanh_special_values, {
C(-0.,-P12) C(-0.,-P12) C(-0.,-P12) C(-0.,P12) C(-0.,P12) C(-0.,P12) C(-0.,N)
C(-0.,-P12) C(U,U) C(U,U) C(U,U) C(U,U) C(-0.,P12) C(N,N)
C(-0.,-P12) C(U,U) C(-0.,-0.) C(-0.,0.) C(U,U) C(-0.,P12) C(-0.,N)
C(0.,-P12) C(U,U) C(0.,-0.) C(0.,0.) C(U,U) C(0.,P12) C(0.,N)
C(0.,-P12) C(U,U) C(U,U) C(U,U) C(U,U) C(0.,P12) C(N,N)
C(0.,-P12) C(0.,-P12) C(0.,-P12) C(0.,P12) C(0.,P12) C(0.,P12) C(0.,N)
C(0.,-P12) C(N,N) C(N,N) C(N,N) C(N,N) C(0.,P12) C(N,N)
})
INIT_SPECIAL_VALUES(cosh_special_values, {
C(INF,N) C(U,U) C(INF,0.) C(INF,-0.) C(U,U) C(INF,N) C(INF,N)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(N,0.) C(U,U) C(1.,0.) C(1.,-0.) C(U,U) C(N,0.) C(N,0.)
C(N,0.) C(U,U) C(1.,-0.) C(1.,0.) C(U,U) C(N,0.) C(N,0.)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(INF,N) C(U,U) C(INF,-0.) C(INF,0.) C(U,U) C(INF,N) C(INF,N)
C(N,N) C(N,N) C(N,0.) C(N,0.) C(N,N) C(N,N) C(N,N)
})
INIT_SPECIAL_VALUES(exp_special_values, {
C(0.,0.) C(U,U) C(0.,-0.) C(0.,0.) C(U,U) C(0.,0.) C(0.,0.)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(N,N) C(U,U) C(1.,-0.) C(1.,0.) C(U,U) C(N,N) C(N,N)
C(N,N) C(U,U) C(1.,-0.) C(1.,0.) C(U,U) C(N,N) C(N,N)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(INF,N) C(U,U) C(INF,-0.) C(INF,0.) C(U,U) C(INF,N) C(INF,N)
C(N,N) C(N,N) C(N,-0.) C(N,0.) C(N,N) C(N,N) C(N,N)
})
INIT_SPECIAL_VALUES(log_special_values, {
C(INF,-P34) C(INF,-P) C(INF,-P) C(INF,P) C(INF,P) C(INF,P34) C(INF,N)
C(INF,-P12) C(U,U) C(U,U) C(U,U) C(U,U) C(INF,P12) C(N,N)
C(INF,-P12) C(U,U) C(-INF,-P) C(-INF,P) C(U,U) C(INF,P12) C(N,N)
C(INF,-P12) C(U,U) C(-INF,-0.) C(-INF,0.) C(U,U) C(INF,P12) C(N,N)
C(INF,-P12) C(U,U) C(U,U) C(U,U) C(U,U) C(INF,P12) C(N,N)
C(INF,-P14) C(INF,-0.) C(INF,-0.) C(INF,0.) C(INF,0.) C(INF,P14) C(INF,N)
C(INF,N) C(N,N) C(N,N) C(N,N) C(N,N) C(INF,N) C(N,N)
})
INIT_SPECIAL_VALUES(sinh_special_values, {
C(INF,N) C(U,U) C(-INF,-0.) C(-INF,0.) C(U,U) C(INF,N) C(INF,N)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(0.,N) C(U,U) C(-0.,-0.) C(-0.,0.) C(U,U) C(0.,N) C(0.,N)
C(0.,N) C(U,U) C(0.,-0.) C(0.,0.) C(U,U) C(0.,N) C(0.,N)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(INF,N) C(U,U) C(INF,-0.) C(INF,0.) C(U,U) C(INF,N) C(INF,N)
C(N,N) C(N,N) C(N,-0.) C(N,0.) C(N,N) C(N,N) C(N,N)
})
INIT_SPECIAL_VALUES(sqrt_special_values, {
C(INF,-INF) C(0.,-INF) C(0.,-INF) C(0.,INF) C(0.,INF) C(INF,INF) C(N,INF)
C(INF,-INF) C(U,U) C(U,U) C(U,U) C(U,U) C(INF,INF) C(N,N)
C(INF,-INF) C(U,U) C(0.,-0.) C(0.,0.) C(U,U) C(INF,INF) C(N,N)
C(INF,-INF) C(U,U) C(0.,-0.) C(0.,0.) C(U,U) C(INF,INF) C(N,N)
C(INF,-INF) C(U,U) C(U,U) C(U,U) C(U,U) C(INF,INF) C(N,N)
C(INF,-INF) C(INF,-0.) C(INF,-0.) C(INF,0.) C(INF,0.) C(INF,INF) C(INF,N)
C(INF,-INF) C(N,N) C(N,N) C(N,N) C(N,N) C(INF,INF) C(N,N)
})
INIT_SPECIAL_VALUES(tanh_special_values, {
C(-1.,0.) C(U,U) C(-1.,-0.) C(-1.,0.) C(U,U) C(-1.,0.) C(-1.,0.)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(N,N) C(U,U) C(-0.,-0.) C(-0.,0.) C(U,U) C(N,N) C(N,N)
C(N,N) C(U,U) C(0.,-0.) C(0.,0.) C(U,U) C(N,N) C(N,N)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(1.,0.) C(U,U) C(1.,-0.) C(1.,0.) C(U,U) C(1.,0.) C(1.,0.)
C(N,N) C(N,N) C(N,-0.) C(N,0.) C(N,N) C(N,N) C(N,N)
})
INIT_SPECIAL_VALUES(rect_special_values, {
C(INF,N) C(U,U) C(-INF,0.) C(-INF,-0.) C(U,U) C(INF,N) C(INF,N)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(0.,0.) C(U,U) C(-0.,0.) C(-0.,-0.) C(U,U) C(0.,0.) C(0.,0.)
C(0.,0.) C(U,U) C(0.,-0.) C(0.,0.) C(U,U) C(0.,0.) C(0.,0.)
C(N,N) C(U,U) C(U,U) C(U,U) C(U,U) C(N,N) C(N,N)
C(INF,N) C(U,U) C(INF,-0.) C(INF,0.) C(U,U) C(INF,N) C(INF,N)
C(N,N) C(N,N) C(N,0.) C(N,0.) C(N,N) C(N,N) C(N,N)
})
}