* mpfr: Update to 2001-11-16. Patch TMP handling of agm.c and sqrt.c,

        separate .c files for floor and ceil.

1 files changed, 135 insertions, 0 deletions

diff --git a/mpfr/sinh.c b/mpfr/sinh.c
new file mode 100644
index 000000000..2646aad4b
--- /dev/null
+++ b/mpfr/sinh.c
@@ -0,0 +1,135 @@
+/* mpfr_sinh -- hyperbolic sine
+
+Copyright (C) 2001 Free Software Foundation, Inc.
+
+This file is part of the MPFR Library.
+
+The MPFR Library is free software; you can redistribute it and/or modify
+it under the terms of the GNU Lesser General Public License as published by
+the Free Software Foundation; either version 2.1 of the License, or (at your
+option) any later version.
+
+The MPFR 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 Lesser General Public
+License for more details.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the MPFR Library; see the file COPYING.LIB.  If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "mpfr.h"
+#include "mpfr-impl.h"
+
+ /* The computation of cosh is done by
+
+    cosh= 1/2[e^(x)-e^(-x)]
+ */
+
+int
+mpfr_sinh (mpfr_ptr y, mpfr_srcptr xt , mp_rnd_t rnd_mode) 
+{
+    /****** Declaration ******/
+    mpfr_t x;
+    mp_prec_t Nxt = MPFR_PREC(xt);
+    int flag_neg=0, inexact =0;
+
+    if (MPFR_IS_NAN(xt))
+      {
+        MPFR_SET_NAN(y); 
+        return 1;
+      }
+    MPFR_CLEAR_NAN(y);
+
+    if (MPFR_IS_INF(xt))
+      { 
+        MPFR_SET_INF(y);
+        MPFR_SET_SAME_SIGN(y,xt);
+        return 0;
+      }
+
+    MPFR_CLEAR_INF(y);
+  
+    if(!MPFR_NOTZERO(xt))
+      {
+        MPFR_SET_ZERO(y);   /* sinh(0) = 0 */
+        MPFR_SET_SAME_SIGN(y,xt);
+        return(0);
+      }
+
+    mpfr_init2(x,Nxt);
+    mpfr_set(x,xt,GMP_RNDN);
+
+    if(MPFR_SIGN(x)<0)
+      {
+        MPFR_CHANGE_SIGN(x);
+        flag_neg=1;
+      }
+
+    /* General case */
+    {
+    /* Declaration of the intermediary variable */
+      mpfr_t t, te,ti;       
+      int d;
+
+      /* Declaration of the size variable */
+      mp_prec_t Nx = Nxt;   /* Precision of input variable */
+      mp_prec_t Ny = MPFR_PREC(y);   /* Precision of input variable */
+
+      mp_prec_t Nt;   /* Precision of the intermediary variable */
+      long int err;  /* Precision of error */
+      
+      /* compute the precision of intermediary variable */
+      Nt=MAX(Nx,Ny);
+      /* the optimal number of bits : see algorithms.ps */
+      Nt = Nt+_mpfr_ceil_log2(5)+_mpfr_ceil_log2(Nt);
+
+      /* initialise of intermediary	variable */
+      mpfr_init(t);             
+      mpfr_init(te);             
+      mpfr_init(ti);                    
+
+
+      /* First computation of cosh */
+      do {
+
+	/* reactualisation of the precision */
+
+	mpfr_set_prec(t,Nt);             
+	mpfr_set_prec(te,Nt);             
+	mpfr_set_prec(ti,Nt);             
+
+	/* compute sinh */
+	mpfr_exp(te,x,GMP_RNDD);         /* exp(x) */
+	mpfr_ui_div(ti,1,te,GMP_RNDU);   /* 1/exp(x) */
+	mpfr_sub(t,te,ti,GMP_RNDN);      /* exp(x) - 1/exp(x)*/
+	mpfr_div_2exp(t,t,1,GMP_RNDN);   /* 1/2(exp(x) - 1/exp(x))*/
+
+        /* calculation of the error*/
+        d = MPFR_EXP(te)-MPFR_EXP(t)+2;
+	
+	/* estimation of the error */
+        /* err = Nt-(_mpfr_ceil_log2(1+pow(2,d)));*/
+        err = Nt-(MAX(d,0)+1);
+
+	/* actualisation of the precision */
+        Nt += 10; 
+
+      } while ((err < 0) || !mpfr_can_round(t,err,GMP_RNDN,rnd_mode,Ny));
+
+      if (flag_neg==1)
+          MPFR_CHANGE_SIGN(t);
+
+      inexact = mpfr_set(y,t,rnd_mode);
+      mpfr_clear(t);
+      mpfr_clear(ti);
+      mpfr_clear(te);
+    }
+    mpfr_clear(x);
+    return inexact;
+
+}