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authorPeter Breitenlohner <peb@mppmu.mpg.de>2014-06-18 11:12:01 +0000
committerPeter Breitenlohner <peb@mppmu.mpg.de>2014-06-18 11:12:01 +0000
commit0c2f0333a4e539325da80cdf3fb182cd17134665 (patch)
treede5daa66b5595292a33c25110aa58ff8bff75543 /Build/source/libs/gmp/gmp-6.0.0/mpn/generic/toom6_sqr.c
parentdb612d5045ef55da386a2c3350d4811d1da1a858 (diff)
Add libs/gmp and libs/mpfr in preparation for MetaPost 2.0
git-svn-id: svn://tug.org/texlive/trunk@34274 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Build/source/libs/gmp/gmp-6.0.0/mpn/generic/toom6_sqr.c')
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diff --git a/Build/source/libs/gmp/gmp-6.0.0/mpn/generic/toom6_sqr.c b/Build/source/libs/gmp/gmp-6.0.0/mpn/generic/toom6_sqr.c
new file mode 100644
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+++ b/Build/source/libs/gmp/gmp-6.0.0/mpn/generic/toom6_sqr.c
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+/* Implementation of the squaring algorithm with Toom-Cook 6.5-way.
+
+ Contributed to the GNU project by Marco Bodrato.
+
+ THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE. IT IS ONLY
+ SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS ALMOST
+ GUARANTEED THAT IT WILL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE.
+
+Copyright 2009 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+ * the GNU Lesser General Public License as published by the Free
+ Software Foundation; either version 3 of the License, or (at your
+ option) any later version.
+
+or
+
+ * the GNU General Public License as published by the Free Software
+ Foundation; either version 2 of the License, or (at your option) any
+ later version.
+
+or both in parallel, as here.
+
+The GNU MP Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library. If not,
+see https://www.gnu.org/licenses/. */
+
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+
+#if GMP_NUMB_BITS < 21
+#error Not implemented.
+#endif
+
+
+#if TUNE_PROGRAM_BUILD
+#define MAYBE_sqr_basecase 1
+#define MAYBE_sqr_above_basecase 1
+#define MAYBE_sqr_toom2 1
+#define MAYBE_sqr_above_toom2 1
+#define MAYBE_sqr_toom3 1
+#define MAYBE_sqr_above_toom3 1
+#define MAYBE_sqr_above_toom4 1
+#else
+#ifdef SQR_TOOM8_THRESHOLD
+#define SQR_TOOM6_MAX ((SQR_TOOM8_THRESHOLD+6*2-1+5)/6)
+#else
+#define SQR_TOOM6_MAX \
+ ((SQR_FFT_THRESHOLD <= MP_SIZE_T_MAX - (6*2-1+5)) ? \
+ ((SQR_FFT_THRESHOLD+6*2-1+5)/6) \
+ : MP_SIZE_T_MAX )
+#endif
+#define MAYBE_sqr_basecase \
+ (SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM2_THRESHOLD)
+#define MAYBE_sqr_above_basecase \
+ (SQR_TOOM6_MAX >= SQR_TOOM2_THRESHOLD)
+#define MAYBE_sqr_toom2 \
+ (SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM3_THRESHOLD)
+#define MAYBE_sqr_above_toom2 \
+ (SQR_TOOM6_MAX >= SQR_TOOM3_THRESHOLD)
+#define MAYBE_sqr_toom3 \
+ (SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM4_THRESHOLD)
+#define MAYBE_sqr_above_toom3 \
+ (SQR_TOOM6_MAX >= SQR_TOOM4_THRESHOLD)
+#define MAYBE_sqr_above_toom4 \
+ (SQR_TOOM6_MAX >= SQR_TOOM6_THRESHOLD)
+#endif
+
+#define TOOM6_SQR_REC(p, a, n, ws) \
+ do { \
+ if (MAYBE_sqr_basecase && ( !MAYBE_sqr_above_basecase \
+ || BELOW_THRESHOLD (n, SQR_TOOM2_THRESHOLD))) \
+ mpn_sqr_basecase (p, a, n); \
+ else if (MAYBE_sqr_toom2 && ( !MAYBE_sqr_above_toom2 \
+ || BELOW_THRESHOLD (n, SQR_TOOM3_THRESHOLD))) \
+ mpn_toom2_sqr (p, a, n, ws); \
+ else if (MAYBE_sqr_toom3 && ( !MAYBE_sqr_above_toom3 \
+ || BELOW_THRESHOLD (n, SQR_TOOM4_THRESHOLD))) \
+ mpn_toom3_sqr (p, a, n, ws); \
+ else if (! MAYBE_sqr_above_toom4 \
+ || BELOW_THRESHOLD (n, SQR_TOOM6_THRESHOLD)) \
+ mpn_toom4_sqr (p, a, n, ws); \
+ else \
+ mpn_toom6_sqr (p, a, n, ws); \
+ } while (0)
+
+void
+mpn_toom6_sqr (mp_ptr pp, mp_srcptr ap, mp_size_t an, mp_ptr scratch)
+{
+ mp_size_t n, s;
+
+ /***************************** decomposition *******************************/
+
+ ASSERT( an >= 18 );
+
+ n = 1 + (an - 1) / (size_t) 6;
+
+ s = an - 5 * n;
+
+ ASSERT (0 < s && s <= n);
+
+#define r4 (pp + 3 * n) /* 3n+1 */
+#define r2 (pp + 7 * n) /* 3n+1 */
+#define r0 (pp +11 * n) /* s+t <= 2*n */
+#define r5 (scratch) /* 3n+1 */
+#define r3 (scratch + 3 * n + 1) /* 3n+1 */
+#define r1 (scratch + 6 * n + 2) /* 3n+1 */
+#define v0 (pp + 7 * n) /* n+1 */
+#define v2 (pp + 9 * n+2) /* n+1 */
+#define wse (scratch + 9 * n + 3) /* 3n+1 */
+
+ /* Alloc also 3n+1 limbs for ws... toom_interpolate_12pts may
+ need all of them, when DO_mpn_sublsh_n usea a scratch */
+/* if (scratch== NULL) */
+/* scratch = TMP_SALLOC_LIMBS (12 * n + 6); */
+
+ /********************** evaluation and recursive calls *********************/
+ /* $\pm1/2$ */
+ mpn_toom_eval_pm2rexp (v2, v0, 5, ap, n, s, 1, pp);
+ TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1/2)*B(-1/2)*2^. */
+ TOOM6_SQR_REC(r5, v2, n + 1, wse); /* A(+1/2)*B(+1/2)*2^. */
+ mpn_toom_couple_handling (r5, 2 * n + 1, pp, 0, n, 1, 0);
+
+ /* $\pm1$ */
+ mpn_toom_eval_pm1 (v2, v0, 5, ap, n, s, pp);
+ TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1)*B(-1) */
+ TOOM6_SQR_REC(r3, v2, n + 1, wse); /* A(1)*B(1) */
+ mpn_toom_couple_handling (r3, 2 * n + 1, pp, 0, n, 0, 0);
+
+ /* $\pm4$ */
+ mpn_toom_eval_pm2exp (v2, v0, 5, ap, n, s, 2, pp);
+ TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-4)*B(-4) */
+ TOOM6_SQR_REC(r1, v2, n + 1, wse); /* A(+4)*B(+4) */
+ mpn_toom_couple_handling (r1, 2 * n + 1, pp, 0, n, 2, 4);
+
+ /* $\pm1/4$ */
+ mpn_toom_eval_pm2rexp (v2, v0, 5, ap, n, s, 2, pp);
+ TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1/4)*B(-1/4)*4^. */
+ TOOM6_SQR_REC(r4, v2, n + 1, wse); /* A(+1/4)*B(+1/4)*4^. */
+ mpn_toom_couple_handling (r4, 2 * n + 1, pp, 0, n, 2, 0);
+
+ /* $\pm2$ */
+ mpn_toom_eval_pm2 (v2, v0, 5, ap, n, s, pp);
+ TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-2)*B(-2) */
+ TOOM6_SQR_REC(r2, v2, n + 1, wse); /* A(+2)*B(+2) */
+ mpn_toom_couple_handling (r2, 2 * n + 1, pp, 0, n, 1, 2);
+
+#undef v0
+#undef v2
+
+ /* A(0)*B(0) */
+ TOOM6_SQR_REC(pp, ap, n, wse);
+
+ mpn_toom_interpolate_12pts (pp, r1, r3, r5, n, 2 * s, 0, wse);
+
+#undef r0
+#undef r1
+#undef r2
+#undef r3
+#undef r4
+#undef r5
+
+}
+#undef TOOM6_SQR_REC
+#undef MAYBE_sqr_basecase
+#undef MAYBE_sqr_above_basecase
+#undef MAYBE_sqr_toom2
+#undef MAYBE_sqr_above_toom2
+#undef MAYBE_sqr_toom3
+#undef MAYBE_sqr_above_toom3
+#undef MAYBE_sqr_above_toom4