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Name	Size	Permission	Date
_blake2	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
_ctypes	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
_decimal	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
_io	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
_multiprocessing	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
_sha3	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
_sqlite	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
_ssl	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
_xxtestfuzz	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
cjkcodecs	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
clinic	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
expat	[ DIR ]	drwxr-xr-x	2024-03-19 22:46
README	112 B	-rw-r--r--	2024-03-19 22:46
Setup	15.15 KB	-rw-r--r--	2024-03-19 22:46
Setup.local	41 B	-rw-r--r--	2025-06-04 09:17
_abc.c	26.09 KB	-rw-r--r--	2024-03-19 22:46
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_bisectmodule.c	8.03 KB	-rw-r--r--	2024-03-19 22:46
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_collectionsmodule.c	79.83 KB	-rw-r--r--	2024-03-19 22:46
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_contextvarsmodule.c	1.57 KB	-rw-r--r--	2024-03-19 22:46
_cryptmodule.c	1.66 KB	-rw-r--r--	2024-03-19 22:46
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_curses_panel.c	18.6 KB	-rw-r--r--	2024-03-19 22:46
_cursesmodule.c	135.6 KB	-rw-r--r--	2024-03-19 22:46
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_gdbmmodule.c	21.25 KB	-rw-r--r--	2024-03-19 22:46
_hashopenssl.c	59.7 KB	-rw-r--r--	2024-03-19 22:46
_heapqmodule.c	21.78 KB	-rw-r--r--	2024-03-19 22:46
_iomodule.gcda	6.99 KB	-rw-r--r--	2025-06-04 09:21
_iomodule.o	186.38 KB	-rw-r--r--	2025-06-04 09:22
_json.c	57.57 KB	-rw-r--r--	2024-03-19 22:46
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_lsprof.c	25.89 KB	-rw-r--r--	2024-03-19 22:46
_lzmamodule.c	48.65 KB	-rw-r--r--	2024-03-19 22:46
_math.c	7.33 KB	-rw-r--r--	2024-03-19 22:46
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_pickle.c	229.53 KB	-rw-r--r--	2024-03-19 22:46
_posixsubprocess.c	36.98 KB	-rw-r--r--	2024-03-19 22:46
_queuemodule.c	12.31 KB	-rw-r--r--	2024-03-19 22:46
_randommodule.c	17.76 KB	-rw-r--r--	2024-03-19 22:46
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_stat.c	15.18 KB	-rw-r--r--	2024-03-19 22:46
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_stat.o	69.77 KB	-rw-r--r--	2025-06-04 09:22
_statisticsmodule.c	4.83 KB	-rw-r--r--	2024-03-19 22:46
_struct.c	68.85 KB	-rw-r--r--	2024-03-19 22:46
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_threadmodule.o	250.8 KB	-rw-r--r--	2025-06-04 09:22
_tkinter.c	93.36 KB	-rw-r--r--	2024-03-19 22:46
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_uuidmodule.c	3 KB	-rw-r--r--	2024-03-19 22:46
_weakref.c	4.92 KB	-rw-r--r--	2024-03-19 22:46
_weakref.gcda	4.24 KB	-rw-r--r--	2025-06-04 09:21
_weakref.o	84.91 KB	-rw-r--r--	2025-06-04 09:22
_winapi.c	66.78 KB	-rw-r--r--	2024-03-19 22:46
_xxsubinterpretersmodule.c	67.74 KB	-rw-r--r--	2024-03-19 22:46
_zoneinfo.c	73.89 KB	-rw-r--r--	2024-03-19 22:46
addrinfo.h	5.88 KB	-rw-r--r--	2024-03-19 22:46
arraymodule.c	87.46 KB	-rw-r--r--	2024-03-19 22:46
atexitmodule.c	7.29 KB	-rw-r--r--	2024-03-19 22:46
atexitmodule.gcda	4.45 KB	-rw-r--r--	2025-06-04 09:21
atexitmodule.o	97.11 KB	-rw-r--r--	2025-06-04 09:22
audioop.c	59.71 KB	-rw-r--r--	2024-03-19 22:46
binascii.c	54.76 KB	-rw-r--r--	2024-03-19 22:46
bufferedio.gcda	20.46 KB	-rw-r--r--	2025-06-04 09:21
bufferedio.o	414.2 KB	-rw-r--r--	2025-06-04 09:22
bytesio.gcda	10.84 KB	-rw-r--r--	2025-06-04 09:21
bytesio.o	220.71 KB	-rw-r--r--	2025-06-04 09:22
cmathmodule.c	42.3 KB	-rw-r--r--	2024-03-19 22:46
config.c	3.21 KB	-rw-r--r--	2025-06-04 09:17
config.c.in	1.58 KB	-rw-r--r--	2024-03-19 22:46
config.o	34.5 KB	-rw-r--r--	2025-06-04 09:22
errnomodule.c	27.08 KB	-rw-r--r--	2024-03-19 22:46
errnomodule.gcda	8.02 KB	-rw-r--r--	2025-06-04 09:21
errnomodule.o	113.31 KB	-rw-r--r--	2025-06-04 09:22
faulthandler.c	40.52 KB	-rw-r--r--	2024-03-19 22:46
faulthandler.gcda	9.1 KB	-rw-r--r--	2025-06-04 09:21
faulthandler.o	147.28 KB	-rw-r--r--	2025-06-04 09:22
fcntlmodule.c	20.49 KB	-rw-r--r--	2024-03-19 22:46
fileio.gcda	9.01 KB	-rw-r--r--	2025-06-04 09:21
fileio.o	227.98 KB	-rw-r--r--	2025-06-04 09:22
gc_weakref.txt	11.19 KB	-rw-r--r--	2024-03-19 22:46
gcmodule.c	77.27 KB	-rw-r--r--	2024-03-19 22:46
gcmodule.gcda	11.63 KB	-rw-r--r--	2025-06-04 09:21
gcmodule.o	306.44 KB	-rw-r--r--	2025-06-04 09:22
getaddrinfo.c	18.38 KB	-rw-r--r--	2024-03-19 22:46
getbuildinfo.c	1.28 KB	-rw-r--r--	2024-03-19 22:46
getbuildinfo.gcda	3.59 KB	-rw-r--r--	2025-06-04 09:21
getbuildinfo.o	33.84 KB	-rw-r--r--	2025-06-04 09:22
getnameinfo.c	6.18 KB	-rw-r--r--	2024-03-19 22:46
getpath.c	44.99 KB	-rw-r--r--	2024-03-19 22:46
getpath.gcda	8.82 KB	-rw-r--r--	2025-06-04 09:21
getpath.o	160.52 KB	-rw-r--r--	2025-06-04 09:22
grpmodule.c	8.52 KB	-rw-r--r--	2024-03-19 22:46
hashlib.h	2.09 KB	-rw-r--r--	2024-03-19 22:46
iobase.gcda	9.63 KB	-rw-r--r--	2025-06-04 09:21
iobase.o	189.36 KB	-rw-r--r--	2025-06-04 09:22
itertoolsmodule.c	153.67 KB	-rw-r--r--	2024-03-19 22:46
itertoolsmodule.gcda	27.9 KB	-rw-r--r--	2025-06-04 09:21
itertoolsmodule.o	721.27 KB	-rw-r--r--	2025-06-04 09:22
ld_so_aix	6.12 KB	-rwxr-xr-x	2025-06-04 09:17
ld_so_aix.in	6.11 KB	-rw-r--r--	2024-03-19 22:46
main.c	17.65 KB	-rw-r--r--	2024-03-19 22:46
main.gcda	7.28 KB	-rw-r--r--	2025-06-04 09:21
main.o	147.24 KB	-rw-r--r--	2025-06-04 09:22
makesetup	7.67 KB	-rwxr-xr-x	2024-03-19 22:46
makexp_aix	2.67 KB	-rwxr-xr-x	2024-03-19 22:46
mathmodule.c	106.2 KB	-rw-r--r--	2024-03-19 22:46
md5module.c	15.51 KB	-rw-r--r--	2024-03-19 22:46
mmapmodule.c	47.75 KB	-rw-r--r--	2024-03-19 22:46
nismodule.c	12.89 KB	-rw-r--r--	2024-03-19 22:46
ossaudiodev.c	37.49 KB	-rw-r--r--	2024-03-19 22:46
overlapped.c	53.65 KB	-rw-r--r--	2024-03-19 22:46
posixmodule.c	413.46 KB	-rw-r--r--	2024-03-19 22:46
posixmodule.gcda	67.8 KB	-rw-r--r--	2025-06-04 09:21
posixmodule.h	791 B	-rw-r--r--	2024-03-19 22:46
posixmodule.o	1.49 MB	-rw-r--r--	2025-06-04 09:22
pwdmodule.c	8.89 KB	-rw-r--r--	2024-03-19 22:46
pwdmodule.gcda	4.96 KB	-rw-r--r--	2025-06-04 09:21
pwdmodule.o	84.35 KB	-rw-r--r--	2025-06-04 09:22
pyexpat.c	60.39 KB	-rw-r--r--	2024-03-19 22:46
readline.c	40.06 KB	-rw-r--r--	2024-03-19 22:46
resource.c	13.77 KB	-rw-r--r--	2024-03-19 22:46
rotatingtree.c	3.39 KB	-rw-r--r--	2024-03-19 22:46
rotatingtree.h	924 B	-rw-r--r--	2024-03-19 22:46
selectmodule.c	70.06 KB	-rw-r--r--	2024-03-19 22:46
sha1module.c	14.76 KB	-rw-r--r--	2024-03-19 22:46
sha256module.c	22.5 KB	-rw-r--r--	2024-03-19 22:46
sha512module.c	27.29 KB	-rw-r--r--	2024-03-19 22:46
signalmodule.c	52.45 KB	-rw-r--r--	2024-03-19 22:46
signalmodule.gcda	11.11 KB	-rw-r--r--	2025-06-04 09:21
signalmodule.o	235.02 KB	-rw-r--r--	2025-06-04 09:22
socketmodule.c	243.34 KB	-rw-r--r--	2024-03-19 22:46
socketmodule.h	8.56 KB	-rw-r--r--	2024-03-19 22:46
spwdmodule.c	6.69 KB	-rw-r--r--	2024-03-19 22:46
sre.h	2.83 KB	-rw-r--r--	2024-03-19 22:46
sre_constants.h	2.81 KB	-rw-r--r--	2024-03-19 22:46
sre_lib.h	52.08 KB	-rw-r--r--	2024-03-19 22:46
stringio.gcda	9.64 KB	-rw-r--r--	2025-06-04 09:21
stringio.o	193.45 KB	-rw-r--r--	2025-06-04 09:22
symtablemodule.c	3.67 KB	-rw-r--r--	2024-03-19 22:46
symtablemodule.gcda	4.25 KB	-rw-r--r--	2025-06-04 09:21
symtablemodule.o	55.01 KB	-rw-r--r--	2025-06-04 09:22
syslogmodule.c	10.64 KB	-rw-r--r--	2024-03-19 22:46
termios.c	22.52 KB	-rw-r--r--	2024-03-19 22:46
testcapi_long.h	6.77 KB	-rw-r--r--	2024-03-19 22:46
textio.gcda	23.51 KB	-rw-r--r--	2025-06-04 09:21
textio.o	645.09 KB	-rw-r--r--	2025-06-04 09:22
timemodule.c	57.23 KB	-rw-r--r--	2024-03-19 22:46
timemodule.gcda	8.3 KB	-rw-r--r--	2025-06-04 09:21
timemodule.o	177.2 KB	-rw-r--r--	2025-06-04 09:22
tkappinit.c	4.71 KB	-rw-r--r--	2024-03-19 22:46
tkinter.h	881 B	-rw-r--r--	2024-03-19 22:46
unicodedata.c	44.69 KB	-rw-r--r--	2024-03-19 22:46
unicodedata_db.h	531.75 KB	-rw-r--r--	2024-03-19 22:46
unicodename_db.h	2.12 MB	-rw-r--r--	2024-03-19 22:46
winreparse.h	1.59 KB	-rw-r--r--	2024-03-19 22:46
xxlimited.c	9.23 KB	-rw-r--r--	2024-03-19 22:46
xxlimited_35.c	6.88 KB	-rw-r--r--	2024-03-19 22:46
xxmodule.c	12.56 KB	-rw-r--r--	2024-03-19 22:46
xxsubtype.c	10.78 KB	-rw-r--r--	2024-03-19 22:46
xxsubtype.gcda	4.45 KB	-rw-r--r--	2025-06-04 09:21
xxsubtype.o	54.38 KB	-rw-r--r--	2025-06-04 09:22
zlibmodule.c	46.52 KB	-rw-r--r--	2024-03-19 22:46

Rename

/* statistics accelerator C extension: _statistics module. */

#include "Python.h"
#include "clinic/_statisticsmodule.c.h"

/*[clinic input]
module _statistics

[clinic start generated code]*/
/*[clinic end generated code: output=da39a3ee5e6b4b0d input=864a6f59b76123b2]*/

/*
 * There is no closed-form solution to the inverse CDF for the normal
 * distribution, so we use a rational approximation instead:
 * Wichura, M.J. (1988). "Algorithm AS241: The Percentage Points of the
 * Normal Distribution".  Applied Statistics. Blackwell Publishing. 37
 * (3): 477–484. doi:10.2307/2347330. JSTOR 2347330.
 */

/*[clinic input]
_statistics._normal_dist_inv_cdf -> double
   p: double
   mu: double
   sigma: double
   /
[clinic start generated code]*/

static double
_statistics__normal_dist_inv_cdf_impl(PyObject *module, double p, double mu,
                                      double sigma)
/*[clinic end generated code: output=02fd19ddaab36602 input=24715a74be15296a]*/
{
    double q, num, den, r, x;
    if (p <= 0.0 || p >= 1.0 || sigma <= 0.0) {
        goto error;
    }

q = p - 0.5;
    if(fabs(q) <= 0.425) {
        r = 0.180625 - q * q;
        // Hash sum-55.8831928806149014439
        num = (((((((2.5090809287301226727e+3 * r +
                     3.3430575583588128105e+4) * r +
                     6.7265770927008700853e+4) * r +
                     4.5921953931549871457e+4) * r +
                     1.3731693765509461125e+4) * r +
                     1.9715909503065514427e+3) * r +
                     1.3314166789178437745e+2) * r +
                     3.3871328727963666080e+0) * q;
        den = (((((((5.2264952788528545610e+3 * r +
                     2.8729085735721942674e+4) * r +
                     3.9307895800092710610e+4) * r +
                     2.1213794301586595867e+4) * r +
                     5.3941960214247511077e+3) * r +
                     6.8718700749205790830e+2) * r +
                     4.2313330701600911252e+1) * r +
                     1.0);
        if (den == 0.0) {
            goto error;
        }
        x = num / den;
        return mu + (x * sigma);
    }
    r = (q <= 0.0) ? p : (1.0 - p);
    if (r <= 0.0 || r >= 1.0) {
        goto error;
    }
    r = sqrt(-log(r));
    if (r <= 5.0) {
        r = r - 1.6;
        // Hash sum-49.33206503301610289036
        num = (((((((7.74545014278341407640e-4 * r +
                     2.27238449892691845833e-2) * r +
                     2.41780725177450611770e-1) * r +
                     1.27045825245236838258e+0) * r +
                     3.64784832476320460504e+0) * r +
                     5.76949722146069140550e+0) * r +
                     4.63033784615654529590e+0) * r +
                     1.42343711074968357734e+0);
        den = (((((((1.05075007164441684324e-9 * r +
                     5.47593808499534494600e-4) * r +
                     1.51986665636164571966e-2) * r +
                     1.48103976427480074590e-1) * r +
                     6.89767334985100004550e-1) * r +
                     1.67638483018380384940e+0) * r +
                     2.05319162663775882187e+0) * r +
                     1.0);
    } else {
        r -= 5.0;
        // Hash sum-47.52583317549289671629
        num = (((((((2.01033439929228813265e-7 * r +
                     2.71155556874348757815e-5) * r +
                     1.24266094738807843860e-3) * r +
                     2.65321895265761230930e-2) * r +
                     2.96560571828504891230e-1) * r +
                     1.78482653991729133580e+0) * r +
                     5.46378491116411436990e+0) * r +
                     6.65790464350110377720e+0);
        den = (((((((2.04426310338993978564e-15 * r +
                     1.42151175831644588870e-7) * r +
                     1.84631831751005468180e-5) * r +
                     7.86869131145613259100e-4) * r +
                     1.48753612908506148525e-2) * r +
                     1.36929880922735805310e-1) * r +
                     5.99832206555887937690e-1) * r +
                     1.0);
    }
    if (den == 0.0) {
        goto error;
    }
    x = num / den;
    if (q < 0.0) {
        x = -x;
    }
    return mu + (x * sigma);

error:
    PyErr_SetString(PyExc_ValueError, "inv_cdf undefined for these parameters");
    return -1.0;
}

static PyMethodDef statistics_methods[] = {
    _STATISTICS__NORMAL_DIST_INV_CDF_METHODDEF
    {NULL, NULL, 0, NULL}
};

PyDoc_STRVAR(statistics_doc,
"Accelerators for the statistics module.\n");

static struct PyModuleDef_Slot _statisticsmodule_slots[] = {
    {0, NULL}
};

static struct PyModuleDef statisticsmodule = {
        PyModuleDef_HEAD_INIT,
        "_statistics",
        statistics_doc,
        0,
        statistics_methods,
        _statisticsmodule_slots,
        NULL,
        NULL,
        NULL
};

PyMODINIT_FUNC
PyInit__statistics(void)
{
    return PyModuleDef_Init(&statisticsmodule);
}