python-3.6.zip added from Github

README.cosmo contains the necessary links.

third_party/python/Modules/_decimal/libmpdec/difradix2.c

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+/*
+ * Copyright (c) 2008-2016 Stefan Krah. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+
+#include "mpdecimal.h"
+#include <stdio.h>
+#include <assert.h>
+#include "bits.h"
+#include "numbertheory.h"
+#include "umodarith.h"
+#include "difradix2.h"
+
+
+/* Bignum: The actual transform routine (decimation in frequency). */
+
+
+/*
+ * Generate index pairs (x, bitreverse(x)) and carry out the permutation.
+ * n must be a power of two.
+ * Algorithm due to Brent/Lehmann, see Joerg Arndt, "Matters Computational",
+ * Chapter 1.14.4. [http://www.jjj.de/fxt/]
+ */
+static inline void
+bitreverse_permute(mpd_uint_t a[], mpd_size_t n)
+{
+    mpd_size_t x = 0;
+    mpd_size_t r = 0;
+    mpd_uint_t t;
+
+    do { /* Invariant: r = bitreverse(x) */
+        if (r > x) {
+            t = a[x];
+            a[x] = a[r];
+            a[r] = t;
+        }
+        /* Flip trailing consecutive 1 bits and the first zero bit
+         * that absorbs a possible carry. */
+        x += 1;
+        /* Mirror the operation on r: Flip n_trailing_zeros(x)+1
+           high bits of r. */
+        r ^= (n - (n >> (mpd_bsf(x)+1)));
+        /* The loop invariant is preserved. */
+    } while (x < n);
+}
+
+
+/* Fast Number Theoretic Transform, decimation in frequency. */
+void
+fnt_dif2(mpd_uint_t a[], mpd_size_t n, struct fnt_params *tparams)
+{
+    mpd_uint_t *wtable = tparams->wtable;
+    mpd_uint_t umod;
+#ifdef PPRO
+    double dmod;
+    uint32_t dinvmod[3];
+#endif
+    mpd_uint_t u0, u1, v0, v1;
+    mpd_uint_t w, w0, w1, wstep;
+    mpd_size_t m, mhalf;
+    mpd_size_t j, r;
+
+
+    assert(ispower2(n));
+    assert(n >= 4);
+
+    SETMODULUS(tparams->modnum);
+
+    /* m == n */
+    mhalf = n / 2;
+    for (j = 0; j < mhalf; j += 2) {
+
+        w0 = wtable[j];
+        w1 = wtable[j+1];
+
+        u0 = a[j];
+        v0 = a[j+mhalf];
+
+        u1 = a[j+1];
+        v1 = a[j+1+mhalf];
+
+        a[j] = addmod(u0, v0, umod);
+        v0 = submod(u0, v0, umod);
+
+        a[j+1] = addmod(u1, v1, umod);
+        v1 = submod(u1, v1, umod);
+
+        MULMOD2(&v0, w0, &v1, w1);
+
+        a[j+mhalf] = v0;
+        a[j+1+mhalf] = v1;
+
+    }
+
+    wstep = 2;
+    for (m = n/2; m >= 2; m>>=1, wstep<<=1) {
+
+        mhalf = m / 2;
+
+        /* j == 0 */
+        for (r = 0; r < n; r += 2*m) {
+
+            u0 = a[r];
+            v0 = a[r+mhalf];
+
+            u1 = a[m+r];
+            v1 = a[m+r+mhalf];
+
+            a[r] = addmod(u0, v0, umod);
+            v0 = submod(u0, v0, umod);
+
+            a[m+r] = addmod(u1, v1, umod);
+            v1 = submod(u1, v1, umod);
+
+            a[r+mhalf] = v0;
+            a[m+r+mhalf] = v1;
+        }
+
+        for (j = 1; j < mhalf; j++) {
+
+            w = wtable[j*wstep];
+
+            for (r = 0; r < n; r += 2*m) {
+
+                u0 = a[r+j];
+                v0 = a[r+j+mhalf];
+
+                u1 = a[m+r+j];
+                v1 = a[m+r+j+mhalf];
+
+                a[r+j] = addmod(u0, v0, umod);
+                v0 = submod(u0, v0, umod);
+
+                a[m+r+j] = addmod(u1, v1, umod);
+                v1 = submod(u1, v1, umod);
+
+                MULMOD2C(&v0, &v1, w);
+
+                a[r+j+mhalf] = v0;
+                a[m+r+j+mhalf] = v1;
+            }
+
+        }
+
+    }
+
+    bitreverse_permute(a, n);
+}
+
+