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+
+/*
+ * IBM Accurate Mathematical Library
+ * Copyright (c) International Business Machines Corp., 2001
+ *
+ * This program 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 of the License, or
+ * (at your option) any later version.
+ *
+ * This program 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 a copy of the GNU Lesser General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+ */
+/*******************************************************************/
+/* */
+/* MODULE_NAME: branred.c */
+/* */
+/* FUNCTIONS: branred */
+/* */
+/* FILES NEEDED: branred.h mydefs.h endian.h mpa.h */
+/* mha.c */
+/* */
+/* Routine branred() performs range reduction of a double number */
+/* x into Double length number a+aa,such that */
+/* x=n*pi/2+(a+aa), abs(a+aa)<pi/4, n=0,+-1,+-2,.... */
+/* Routine returns the integer (n mod 4) of the above description */
+/* of x. */
+/*******************************************************************/
+
+#include "endian.h"
+#include "mydefs.h"
+#include "branred.h"
+
+
+
+/*******************************************************************/
+/* Routine branred() performs range reduction of a double number */
+/* x into Double length number a+aa,such that */
+/* x=n*pi/2+(a+aa), abs(a+aa)<pi/4, n=0,+-1,+-2,.... */
+/* Routine return integer (n mod 4) */
+/*******************************************************************/
+int branred(double x, double *a, double *aa)
+{
+ int i,k,n;
+ mynumber u,v,gor;
+ double r[6],s,t,sum,b,bb,sum1,sum2,b1,bb1,b2,bb2,x1,x2,t1,t2;
+
+ x*=tm600.x;
+ t=x*split; /* split x to two numbers */
+ x1=t-(t-x);
+ x2=x-x1;
+ sum=0;
+ u.x = x1;
+ k = (u.i[HIGH_HALF]>>20)&2047;
+ k = (k-450)/24;
+ if (k<0)
+ k=0;
+ gor.x = t576.x;
+ gor.i[HIGH_HALF] -= ((k*24)<<20);
+ for (i=0;i<6;i++)
+ { r[i] = x1*toverp[k+i]*gor.x; gor.x *= tm24.x; }
+ for (i=0;i<3;i++) {
+ s=(r[i]+big.x)-big.x;
+ sum+=s;
+ r[i]-=s;
+ }
+ t=0;
+ for (i=0;i<6;i++)
+ t+=r[5-i];
+ bb=(((((r[0]-t)+r[1])+r[2])+r[3])+r[4])+r[5];
+ s=(t+big.x)-big.x;
+ sum+=s;
+ t-=s;
+ b=t+bb;
+ bb=(t-b)+bb;
+ s=(sum+big1.x)-big1.x;
+ sum-=s;
+ b1=b;
+ bb1=bb;
+ sum1=sum;
+ sum=0;
+
+ u.x = x2;
+ k = (u.i[HIGH_HALF]>>20)&2047;
+ k = (k-450)/24;
+ if (k<0)
+ k=0;
+ gor.x = t576.x;
+ gor.i[HIGH_HALF] -= ((k*24)<<20);
+ for (i=0;i<6;i++)
+ { r[i] = x2*toverp[k+i]*gor.x; gor.x *= tm24.x; }
+ for (i=0;i<3;i++) {
+ s=(r[i]+big.x)-big.x;
+ sum+=s;
+ r[i]-=s;
+ }
+ t=0;
+ for (i=0;i<6;i++)
+ t+=r[5-i];
+ bb=(((((r[0]-t)+r[1])+r[2])+r[3])+r[4])+r[5];
+ s=(t+big.x)-big.x;
+ sum+=s;
+ t-=s;
+ b=t+bb;
+ bb=(t-b)+bb;
+ s=(sum+big1.x)-big1.x;
+ sum-=s;
+
+ b2=b;
+ bb2=bb;
+ sum2=sum;
+
+ sum=sum1+sum2;
+ b=b1+b2;
+ bb = (ABS(b1)>ABS(b2))? (b1-b)+b2 : (b2-b)+b1;
+ if (b > 0.5)
+ {b-=1.0; sum+=1.0;}
+ else if (b < -0.5)
+ {b+=1.0; sum-=1.0;}
+ s=b+(bb+bb1+bb2);
+ t=((b-s)+bb)+(bb1+bb2);
+ b=s*split;
+ t1=b-(b-s);
+ t2=s-t1;
+ b=s*hp0.x;
+ bb=(((t1*mp1.x-b)+t1*mp2.x)+t2*mp1.x)+(t2*mp2.x+s*hp1.x+t*hp0.x);
+ s=b+bb;
+ t=(b-s)+bb;
+ *a=s;
+ *aa=t;
+ return ((int) sum)&3; /* return quater of unit circle */
+}
+