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path: root/patches/mpfr/3.1.3/170-zeta.patch
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-rw-r--r--patches/mpfr/3.1.3/170-zeta.patch125
1 files changed, 125 insertions, 0 deletions
diff --git a/patches/mpfr/3.1.3/170-zeta.patch b/patches/mpfr/3.1.3/170-zeta.patch
new file mode 100644
index 0000000..12faf1d
--- /dev/null
+++ b/patches/mpfr/3.1.3/170-zeta.patch
@@ -0,0 +1,125 @@
+diff -Naurd mpfr-3.1.3-a/PATCHES mpfr-3.1.3-b/PATCHES
+--- mpfr-3.1.3-a/PATCHES 2016-02-15 15:11:00.898156344 +0000
++++ mpfr-3.1.3-b/PATCHES 2016-02-15 15:11:00.966156445 +0000
+@@ -0,0 +1 @@
++zeta
+diff -Naurd mpfr-3.1.3-a/VERSION mpfr-3.1.3-b/VERSION
+--- mpfr-3.1.3-a/VERSION 2016-02-15 15:10:03.414066216 +0000
++++ mpfr-3.1.3-b/VERSION 2016-02-15 15:11:00.966156445 +0000
+@@ -1 +1 @@
+-3.1.3-p6
++3.1.3-p7
+diff -Naurd mpfr-3.1.3-a/src/mpfr.h mpfr-3.1.3-b/src/mpfr.h
+--- mpfr-3.1.3-a/src/mpfr.h 2016-02-15 15:10:03.410066210 +0000
++++ mpfr-3.1.3-b/src/mpfr.h 2016-02-15 15:11:00.962156439 +0000
+@@ -27,7 +27,7 @@
+ #define MPFR_VERSION_MAJOR 3
+ #define MPFR_VERSION_MINOR 1
+ #define MPFR_VERSION_PATCHLEVEL 3
+-#define MPFR_VERSION_STRING "3.1.3-p6"
++#define MPFR_VERSION_STRING "3.1.3-p7"
+
+ /* Macros dealing with MPFR VERSION */
+ #define MPFR_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c))
+diff -Naurd mpfr-3.1.3-a/src/version.c mpfr-3.1.3-b/src/version.c
+--- mpfr-3.1.3-a/src/version.c 2016-02-15 15:10:03.414066216 +0000
++++ mpfr-3.1.3-b/src/version.c 2016-02-15 15:11:00.966156445 +0000
+@@ -25,5 +25,5 @@
+ const char *
+ mpfr_get_version (void)
+ {
+- return "3.1.3-p6";
++ return "3.1.3-p7";
+ }
+diff -Naurd mpfr-3.1.3-a/src/zeta.c mpfr-3.1.3-b/src/zeta.c
+--- mpfr-3.1.3-a/src/zeta.c 2015-06-19 19:55:10.000000000 +0000
++++ mpfr-3.1.3-b/src/zeta.c 2016-02-15 15:11:00.942156410 +0000
+@@ -377,8 +377,8 @@
+ }
+ }
+
+- /* Check for case s= 1 before changing the exponent range */
+- if (mpfr_cmp (s, __gmpfr_one) ==0)
++ /* Check for case s=1 before changing the exponent range */
++ if (mpfr_cmp (s, __gmpfr_one) == 0)
+ {
+ MPFR_SET_INF (z);
+ MPFR_SET_POS (z);
+@@ -420,7 +420,7 @@
+ MPFR_ZIV_INIT (loop, prec1);
+ for (;;)
+ {
+- mpfr_sub (s1, __gmpfr_one, s, MPFR_RNDN);/* s1 = 1-s */
++ mpfr_sub (s1, __gmpfr_one, s, MPFR_RNDN); /* s1 = 1-s */
+ mpfr_zeta_pos (z_pre, s1, MPFR_RNDN); /* zeta(1-s) */
+ mpfr_gamma (y, s1, MPFR_RNDN); /* gamma(1-s) */
+ if (MPFR_IS_INF (y)) /* Zeta(s) < 0 for -4k-2 < s < -4k,
+@@ -432,17 +432,32 @@
+ break;
+ }
+ mpfr_mul (z_pre, z_pre, y, MPFR_RNDN); /* gamma(1-s)*zeta(1-s) */
+- mpfr_const_pi (p, MPFR_RNDD);
+- mpfr_mul (y, s, p, MPFR_RNDN);
+- mpfr_div_2ui (y, y, 1, MPFR_RNDN); /* s*Pi/2 */
+- mpfr_sin (y, y, MPFR_RNDN); /* sin(Pi*s/2) */
+- mpfr_mul (z_pre, z_pre, y, MPFR_RNDN);
++
++ mpfr_const_pi (p, MPFR_RNDD); /* p is Pi */
++
++ /* multiply z_pre by 2^s*Pi^(s-1) where p=Pi, s1=1-s */
+ mpfr_mul_2ui (y, p, 1, MPFR_RNDN); /* 2*Pi */
+ mpfr_neg (s1, s1, MPFR_RNDN); /* s-1 */
+ mpfr_pow (y, y, s1, MPFR_RNDN); /* (2*Pi)^(s-1) */
+ mpfr_mul (z_pre, z_pre, y, MPFR_RNDN);
+ mpfr_mul_2ui (z_pre, z_pre, 1, MPFR_RNDN);
+
++ /* multiply z_pre by sin(Pi*s/2) */
++ mpfr_mul (y, s, p, MPFR_RNDN);
++ mpfr_div_2ui (p, y, 1, MPFR_RNDN); /* p = s*Pi/2 */
++ mpfr_sin (y, p, MPFR_RNDN); /* y = sin(Pi*s/2) */
++ if (MPFR_GET_EXP(y) < 0) /* take account of cancellation in sin(p) */
++ {
++ mpfr_t t;
++ mpfr_init2 (t, prec1 - MPFR_GET_EXP(y));
++ mpfr_const_pi (t, MPFR_RNDD);
++ mpfr_mul (t, s, t, MPFR_RNDN);
++ mpfr_div_2ui (t, t, 1, MPFR_RNDN);
++ mpfr_sin (y, t, MPFR_RNDN);
++ mpfr_clear (t);
++ }
++ mpfr_mul (z_pre, z_pre, y, MPFR_RNDN);
++
+ if (MPFR_LIKELY (MPFR_CAN_ROUND (z_pre, prec1 - add, precz,
+ rnd_mode)))
+ break;
+diff -Naurd mpfr-3.1.3-a/tests/tzeta.c mpfr-3.1.3-b/tests/tzeta.c
+--- mpfr-3.1.3-a/tests/tzeta.c 2015-06-19 19:55:10.000000000 +0000
++++ mpfr-3.1.3-b/tests/tzeta.c 2016-02-15 15:11:00.942156410 +0000
+@@ -394,6 +394,27 @@
+ mpfr_nextabove (s);
+ MPFR_ASSERTN (mpfr_equal_p (z, s) && inex > 0);
+
++ /* bug reported by Fredrik Johansson on 19 Jan 2016 */
++ mpfr_set_prec (s, 536);
++ mpfr_set_ui_2exp (s, 1, -424, MPFR_RNDN);
++ mpfr_sub_ui (s, s, 128, MPFR_RNDN); /* -128 + 2^(-424) */
++ for (prec = 6; prec <= 536; prec += 8) /* should go through 318 */
++ {
++ mpfr_set_prec (z, prec);
++ mpfr_zeta (z, s, MPFR_RNDD);
++ mpfr_set_prec (y, prec + 10);
++ mpfr_zeta (y, s, MPFR_RNDD);
++ mpfr_prec_round (y, prec, MPFR_RNDD);
++ if (! mpfr_equal_p (z, y))
++ {
++ printf ("mpfr_zeta fails near -128 for inprec=%lu outprec=%lu\n",
++ (unsigned long) mpfr_get_prec (s), (unsigned long) prec);
++ printf ("expected "); mpfr_dump (y);
++ printf ("got "); mpfr_dump (z);
++ exit (1);
++ }
++ }
++
+ mpfr_clear (s);
+ mpfr_clear (y);
+ mpfr_clear (z);