From 66bf22e129f0b8621903a8b0489b2684e70fad65 Mon Sep 17 00:00:00 2001

From: Siddhesh Poyarekar <siddhesh@redhat.com>

Date: Fri, 8 Mar 2013 11:38:41 +0530

Subject: [PATCH 17/42] Consolidate copies of mp code in powerpc

Retain a single copy of the mp code in power4 instead of the two

identical copies in powerpc32 and powerpc64.

(backported from commit 6d9145d817e570cd986bb088cf2af0bf51ac7dde)

---

 sysdeps/powerpc/power4/fpu/Makefile           |   5 +

 sysdeps/powerpc/power4/fpu/mpa.c              | 548 ++++++++++++++++++++++++++

 sysdeps/powerpc/powerpc32/power4/Implies      |   2 +

 sysdeps/powerpc/powerpc32/power4/fpu/Makefile |   5 -

 sysdeps/powerpc/powerpc32/power4/fpu/mpa.c    | 548 --------------------------

 sysdeps/powerpc/powerpc64/power4/Implies      |   2 +

 sysdeps/powerpc/powerpc64/power4/fpu/Makefile |   5 -

 sysdeps/powerpc/powerpc64/power4/fpu/mpa.c    | 548 --------------------------

 9 files changed, 568 insertions(+), 1106 deletions(-)

 create mode 100644 sysdeps/powerpc/power4/fpu/Makefile

 create mode 100644 sysdeps/powerpc/power4/fpu/mpa.c

 create mode 100644 sysdeps/powerpc/powerpc32/power4/Implies

 delete mode 100644 sysdeps/powerpc/powerpc32/power4/fpu/Makefile

 delete mode 100644 sysdeps/powerpc/powerpc32/power4/fpu/mpa.c

 create mode 100644 sysdeps/powerpc/powerpc64/power4/Implies

 delete mode 100644 sysdeps/powerpc/powerpc64/power4/fpu/Makefile

 delete mode 100644 sysdeps/powerpc/powerpc64/power4/fpu/mpa.c

diff --git glibc-2.17-c758a686/sysdeps/powerpc/power4/fpu/Makefile glibc-2.17-c758a686/sysdeps/powerpc/power4/fpu/Makefile

new file mode 100644

index 0000000..f487ed6

--- /dev/null

+++ glibc-2.17-c758a686/sysdeps/powerpc/power4/fpu/Makefile

@@ -0,0 +1,5 @@

+# Makefile fragment for POWER4/5/5+ with FPU.

+

+ifeq ($(subdir),math)

+CFLAGS-mpa.c += --param max-unroll-times=4 -funroll-loops -fpeel-loops

+endif

diff --git glibc-2.17-c758a686/sysdeps/powerpc/power4/fpu/mpa.c glibc-2.17-c758a686/sysdeps/powerpc/power4/fpu/mpa.c

new file mode 100644

index 0000000..d15680e

--- /dev/null

+++ glibc-2.17-c758a686/sysdeps/powerpc/power4/fpu/mpa.c

@@ -0,0 +1,548 @@

+

+/*

+ * IBM Accurate Mathematical Library

+ * written by International Business Machines Corp.

+ * Copyright (C) 2001, 2006 Free Software Foundation

+ *

+ * 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 2.1 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 Lesser 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, see <http://www.gnu.org/licenses/>.

+ */

+/************************************************************************/

+/*  MODULE_NAME: mpa.c                                                  */

+/*                                                                      */

+/*  FUNCTIONS:                                                          */

+/*               mcr                                                    */

+/*               acr                                                    */

+/*               cr                                                     */

+/*               cpy                                                    */

+/*               cpymn                                                  */

+/*               norm                                                   */

+/*               denorm                                                 */

+/*               mp_dbl                                                 */

+/*               dbl_mp                                                 */

+/*               add_magnitudes                                         */

+/*               sub_magnitudes                                         */

+/*               add                                                    */

+/*               sub                                                    */

+/*               mul                                                    */

+/*               inv                                                    */

+/*               dvd                                                    */

+/*                                                                      */

+/* Arithmetic functions for multiple precision numbers.                 */

+/* Relative errors are bounded                                          */

+/************************************************************************/

+

+

+#include "endian.h"

+#include "mpa.h"

+#include "mpa2.h"

+#include <sys/param.h>	/* For MIN() */

+/* mcr() compares the sizes of the mantissas of two multiple precision  */

+/* numbers. Mantissas are compared regardless of the signs of the       */

+/* numbers, even if x->d[0] or y->d[0] are zero. Exponents are also     */

+/* disregarded.                                                         */

+static int mcr(const mp_no *x, const mp_no *y, int p) {

+  long i;

+  long p2 = p;

+  for (i=1; i<=p2; i++) {

+    if      (X[i] == Y[i])  continue;

+    else if (X[i] >  Y[i])  return  1;

+    else                    return -1; }

+  return 0;

+}

+

+

+

+/* acr() compares the absolute values of two multiple precision numbers */

+int __acr(const mp_no *x, const mp_no *y, int p) {

+  long i;

+

+  if      (X[0] == ZERO) {

+    if    (Y[0] == ZERO) i= 0;

+    else                 i=-1;

+  }

+  else if (Y[0] == ZERO) i= 1;

+  else {

+    if      (EX >  EY)   i= 1;

+    else if (EX <  EY)   i=-1;

+    else                 i= mcr(x,y,p);

+  }

+

+  return i;

+}

+

+

+/* cr90 compares the values of two multiple precision numbers           */

+int  __cr(const mp_no *x, const mp_no *y, int p) {

+  int i;

+

+  if      (X[0] > Y[0])  i= 1;

+  else if (X[0] < Y[0])  i=-1;

+  else if (X[0] < ZERO ) i= __acr(y,x,p);

+  else                   i= __acr(x,y,p);

+

+  return i;

+}

+

+

+/* Copy a multiple precision number. Set *y=*x. x=y is permissible.      */

+void __cpy(const mp_no *x, mp_no *y, int p) {

+  long i;

+

+  EY = EX;

+  for (i=0; i <= p; i++)    Y[i] = X[i];

+

+  return;

+}

+

+

+/* Copy a multiple precision number x of precision m into a */

+/* multiple precision number y of precision n. In case n>m, */

+/* the digits of y beyond the m'th are set to zero. In case */

+/* n

+/* x=y is permissible.                                      */

+

+void __cpymn(const mp_no *x, int m, mp_no *y, int n) {

+

+  long i,k;

+  long n2 = n;

+  long m2 = m;

+

+  EY = EX;     k=MIN(m2,n2);

+  for (i=0; i <= k; i++)    Y[i] = X[i];

+  for (   ; i <= n2; i++)    Y[i] = ZERO;

+

+  return;

+}

+

+/* Convert a multiple precision number *x into a double precision */

+/* number *y, normalized case  (|x| >= 2**(-1022))) */

+static void norm(const mp_no *x, double *y, int p)

+{

+  #define R  radixi.d

+  long i;

+#if 0

+  int k;

+#endif

+  double a,c,u,v,z[5];

+  if (p<5) {

+    if      (p==1) c = X[1];

+    else if (p==2) c = X[1] + R* X[2];

+    else if (p==3) c = X[1] + R*(X[2]  +   R* X[3]);

+    else if (p==4) c =(X[1] + R* X[2]) + R*R*(X[3] + R*X[4]);

+  }

+  else {

+    for (a=ONE, z[1]=X[1]; z[1] < TWO23; )

+        {a *= TWO;   z[1] *= TWO; }

+

+    for (i=2; i<5; i++) {

+      z[i] = X[i]*a;

+      u = (z[i] + CUTTER)-CUTTER;

+      if  (u > z[i])  u -= RADIX;

+      z[i] -= u;

+      z[i-1] += u*RADIXI;

+    }

+

+    u = (z[3] + TWO71) - TWO71;

+    if (u > z[3])   u -= TWO19;

+    v = z[3]-u;

+

+    if (v == TWO18) {

+      if (z[4] == ZERO) {

+        for (i=5; i <= p; i++) {

+          if (X[i] == ZERO)   continue;

+          else                {z[3] += ONE;   break; }

+        }

+      }

+      else              z[3] += ONE;

+    }

+

+    c = (z[1] + R *(z[2] + R * z[3]))/a;

+  }

+

+  c *= X[0];

+

+  for (i=1; i

+  for (i=1; i>EX; i--)   c *= RADIXI;

+

+  *y = c;

+  return;

+#undef R

+}

+

+/* Convert a multiple precision number *x into a double precision */

+/* number *y, denormalized case  (|x| < 2**(-1022))) */

+static void denorm(const mp_no *x, double *y, int p)

+{

+  long i,k;

+  long p2 = p;

+  double c,u,z[5];

+#if 0

+  double a,v;

+#endif

+

+#define R  radixi.d

+  if (EX<-44 || (EX==-44 && X[1]

+     { *y=ZERO; return; }

+

+  if      (p2==1) {

+    if      (EX==-42) {z[1]=X[1]+TWO10;  z[2]=ZERO;  z[3]=ZERO;  k=3;}

+    else if (EX==-43) {z[1]=     TWO10;  z[2]=X[1];  z[3]=ZERO;  k=2;}

+    else              {z[1]=     TWO10;  z[2]=ZERO;  z[3]=X[1];  k=1;}

+  }

+  else if (p2==2) {

+    if      (EX==-42) {z[1]=X[1]+TWO10;  z[2]=X[2];  z[3]=ZERO;  k=3;}

+    else if (EX==-43) {z[1]=     TWO10;  z[2]=X[1];  z[3]=X[2];  k=2;}

+    else              {z[1]=     TWO10;  z[2]=ZERO;  z[3]=X[1];  k=1;}

+  }

+  else {

+    if      (EX==-42) {z[1]=X[1]+TWO10;  z[2]=X[2];  k=3;}

+    else if (EX==-43) {z[1]=     TWO10;  z[2]=X[1];  k=2;}

+    else              {z[1]=     TWO10;  z[2]=ZERO;  k=1;}

+    z[3] = X[k];

+  }

+

+  u = (z[3] + TWO57) - TWO57;

+  if  (u > z[3])   u -= TWO5;

+

+  if (u==z[3]) {

+    for (i=k+1; i <= p2; i++) {

+      if (X[i] == ZERO)   continue;

+      else {z[3] += ONE;   break; }

+    }

+  }

+

+  c = X[0]*((z[1] + R*(z[2] + R*z[3])) - TWO10);

+

+  *y = c*TWOM1032;

+  return;

+

+#undef R

+}

+

+/* Convert a multiple precision number *x into a double precision number *y. */

+/* The result is correctly rounded to the nearest/even. *x is left unchanged */

+

+void __mp_dbl(const mp_no *x, double *y, int p) {

+#if 0

+  int i,k;

+  double a,c,u,v,z[5];

+#endif

+

+  if (X[0] == ZERO)  {*y = ZERO;  return; }

+

+  if      (EX> -42)                 norm(x,y,p);

+  else if (EX==-42 && X[1]>=TWO10)  norm(x,y,p);

+  else                              denorm(x,y,p);

+}

+

+

+/* dbl_mp() converts a double precision number x into a multiple precision  */

+/* number *y. If the precision p is too small the result is truncated. x is */

+/* left unchanged.                                                          */

+

+void __dbl_mp(double x, mp_no *y, int p) {

+

+  long i,n;

+  long p2 = p;

+  double u;

+

+  /* Sign */

+  if      (x == ZERO)  {Y[0] = ZERO;  return; }

+  else if (x >  ZERO)   Y[0] = ONE;

+  else                 {Y[0] = MONE;  x=-x;   }

+

+  /* Exponent */

+  for (EY=ONE; x >= RADIX; EY += ONE)   x *= RADIXI;

+  for (      ; x <  ONE;   EY -= ONE)   x *= RADIX;

+

+  /* Digits */

+  n=MIN(p2,4);

+  for (i=1; i<=n; i++) {

+    u = (x + TWO52) - TWO52;

+    if (u>x)   u -= ONE;

+    Y[i] = u;     x -= u;    x *= RADIX; }

+  for (   ; i<=p2; i++)     Y[i] = ZERO;

+  return;

+}

+

+

+/*  add_magnitudes() adds the magnitudes of *x & *y assuming that           */

+/*  abs(*x) >= abs(*y) > 0.                                                 */

+/* The sign of the sum *z is undefined. x&y may overlap but not x&z or y&z. */

+/* No guard digit is used. The result equals the exact sum, truncated.      */

+/* *x & *y are left unchanged.                                              */

+

+static void add_magnitudes(const mp_no *x, const mp_no *y, mp_no *z, int p) {

+

+  long i,j,k;

+  long p2 = p;

+

+  EZ = EX;

+

+  i=p2;    j=p2+ EY - EX;    k=p2+1;

+

+  if (j<1)

+     {__cpy(x,z,p);  return; }

+  else   Z[k] = ZERO;

+

+  for (; j>0; i--,j--) {

+    Z[k] += X[i] + Y[j];

+    if (Z[k] >= RADIX) {

+      Z[k]  -= RADIX;

+      Z[--k] = ONE; }

+    else

+      Z[--k] = ZERO;

+  }

+

+  for (; i>0; i--) {

+    Z[k] += X[i];

+    if (Z[k] >= RADIX) {

+      Z[k]  -= RADIX;

+      Z[--k] = ONE; }

+    else

+      Z[--k] = ZERO;

+  }

+

+  if (Z[1] == ZERO) {

+    for (i=1; i<=p2; i++)    Z[i] = Z[i+1]; }

+  else   EZ += ONE;

+}

+

+

+/*  sub_magnitudes() subtracts the magnitudes of *x & *y assuming that      */

+/*  abs(*x) > abs(*y) > 0.                                                  */

+/* The sign of the difference *z is undefined. x&y may overlap but not x&z  */

+/* or y&z. One guard digit is used. The error is less than one ulp.         */

+/* *x & *y are left unchanged.                                              */

+

+static void sub_magnitudes(const mp_no *x, const mp_no *y, mp_no *z, int p) {

+

+  long i,j,k;

+  long p2 = p;

+

+  EZ = EX;

+

+  if (EX == EY) {

+    i=j=k=p2;

+    Z[k] = Z[k+1] = ZERO; }

+  else {

+    j= EX - EY;

+    if (j > p2)  {__cpy(x,z,p);  return; }

+    else {

+      i=p2;   j=p2+1-j;   k=p2;

+      if (Y[j] > ZERO) {

+        Z[k+1] = RADIX - Y[j--];

+        Z[k]   = MONE; }

+      else {

+        Z[k+1] = ZERO;

+        Z[k]   = ZERO;   j--;}

+    }

+  }

+

+  for (; j>0; i--,j--) {

+    Z[k] += (X[i] - Y[j]);

+    if (Z[k] < ZERO) {

+      Z[k]  += RADIX;

+      Z[--k] = MONE; }

+    else

+      Z[--k] = ZERO;

+  }

+

+  for (; i>0; i--) {

+    Z[k] += X[i];

+    if (Z[k] < ZERO) {

+      Z[k]  += RADIX;

+      Z[--k] = MONE; }

+    else

+      Z[--k] = ZERO;

+  }

+

+  for (i=1; Z[i] == ZERO; i++) ;

+  EZ = EZ - i + 1;

+  for (k=1; i <= p2+1; )

+    Z[k++] = Z[i++];

+  for (; k <= p2; )

+    Z[k++] = ZERO;

+

+  return;

+}

+

+

+/* Add two multiple precision numbers. Set *z = *x + *y. x&y may overlap  */

+/* but not x&z or y&z. One guard digit is used. The error is less than    */

+/* one ulp. *x & *y are left unchanged.                                   */

+

+void __add(const mp_no *x, const mp_no *y, mp_no *z, int p) {

+

+  int n;

+

+  if      (X[0] == ZERO)     {__cpy(y,z,p);  return; }

+  else if (Y[0] == ZERO)     {__cpy(x,z,p);  return; }

+

+  if (X[0] == Y[0])   {

+    if (__acr(x,y,p) > 0)      {add_magnitudes(x,y,z,p);  Z[0] = X[0]; }

+    else                     {add_magnitudes(y,x,z,p);  Z[0] = Y[0]; }

+  }

+  else                       {

+    if ((n=__acr(x,y,p)) == 1) {sub_magnitudes(x,y,z,p);  Z[0] = X[0]; }

+    else if (n == -1)        {sub_magnitudes(y,x,z,p);  Z[0] = Y[0]; }

+    else                      Z[0] = ZERO;

+  }

+  return;

+}

+

+

+/* Subtract two multiple precision numbers. *z is set to *x - *y. x&y may */

+/* overlap but not x&z or y&z. One guard digit is used. The error is      */

+/* less than one ulp. *x & *y are left unchanged.                         */

+

+void __sub(const mp_no *x, const mp_no *y, mp_no *z, int p) {

+

+  int n;

+

+  if      (X[0] == ZERO)     {__cpy(y,z,p);  Z[0] = -Z[0];  return; }

+  else if (Y[0] == ZERO)     {__cpy(x,z,p);                 return; }

+

+  if (X[0] != Y[0])    {

+    if (__acr(x,y,p) > 0)      {add_magnitudes(x,y,z,p);  Z[0] =  X[0]; }

+    else                     {add_magnitudes(y,x,z,p);  Z[0] = -Y[0]; }

+  }

+  else                       {

+    if ((n=__acr(x,y,p)) == 1) {sub_magnitudes(x,y,z,p);  Z[0] =  X[0]; }

+    else if (n == -1)        {sub_magnitudes(y,x,z,p);  Z[0] = -Y[0]; }

+    else                      Z[0] = ZERO;

+  }

+  return;

+}

+

+

+/* Multiply two multiple precision numbers. *z is set to *x * *y. x&y      */

+/* may overlap but not x&z or y&z. In case p=1,2,3 the exact result is     */

+/* truncated to p digits. In case p>3 the error is bounded by 1.001 ulp.   */

+/* *x & *y are left unchanged.                                             */

+

+void __mul(const mp_no *x, const mp_no *y, mp_no *z, int p) {

+

+  long i, i1, i2, j, k, k2;

+  long p2 = p;

+  double u, zk, zk2;

+

+                      /* Is z=0? */

+  if (X[0]*Y[0]==ZERO)

+     { Z[0]=ZERO;  return; }

+

+                       /* Multiply, add and carry */

+  k2 = (p2<3) ? p2+p2 : p2+3;

+  zk = Z[k2]=ZERO;

+  for (k=k2; k>1; ) {

+    if (k > p2)  {i1=k-p2; i2=p2+1; }

+    else        {i1=1;   i2=k;   }

+#if 1

+    /* rearange this inner loop to allow the fmadd instructions to be

+       independent and execute in parallel on processors that have

+       dual symetrical FP pipelines.  */

+    if (i1 < (i2-1))

+    {

+	/* make sure we have at least 2 iterations */

+	if (((i2 - i1) & 1L) == 1L)

+	{

+                /* Handle the odd iterations case.  */

+		zk2 = x->d[i2-1]*y->d[i1];

+	}

+	else

+		zk2 = zero.d;

+	/* Do two multiply/adds per loop iteration, using independent

+           accumulators; zk and zk2.  */

+	for (i=i1,j=i2-1; i

+	{

+		zk += x->d[i]*y->d[j];

+		zk2 += x->d[i+1]*y->d[j-1];

+	}

+	zk += zk2; /* final sum.  */

+    }

+    else

+    {

+        /* Special case when iterations is 1.  */

+	zk += x->d[i1]*y->d[i1];

+    }

+#else

+    /* The orginal code.  */

+    for (i=i1,j=i2-1; i

+#endif

+

+    u = (zk + CUTTER)-CUTTER;

+    if  (u > zk)  u -= RADIX;

+    Z[k]  = zk - u;

+    zk = u*RADIXI;

+    --k;

+  }

+  Z[k] = zk;

+

+                 /* Is there a carry beyond the most significant digit? */

+  if (Z[1] == ZERO) {

+    for (i=1; i<=p2; i++)  Z[i]=Z[i+1];

+    EZ = EX + EY - 1; }

+  else

+    EZ = EX + EY;

+

+  Z[0] = X[0] * Y[0];

+  return;

+}

+

+

+/* Invert a multiple precision number. Set *y = 1 / *x.                     */

+/* Relative error bound = 1.001*r**(1-p) for p=2, 1.063*r**(1-p) for p=3,   */

+/* 2.001*r**(1-p) for p>3.                                                  */

+/* *x=0 is not permissible. *x is left unchanged.                           */

+

+void __inv(const mp_no *x, mp_no *y, int p) {

+  long i;

+#if 0

+  int l;

+#endif

+  double t;

+  mp_no z,w;

+  static const int np1[] = {0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,

+                            4,4,4,4,4,4,4,4,4,4,4,4,4,4,4};

+  const mp_no mptwo = {1,{1.0,2.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,

+                         0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,

+                         0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,

+                         0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0}};

+

+  __cpy(x,&z,p);  z.e=0;  __mp_dbl(&z,&t,p);

+  t=ONE/t;   __dbl_mp(t,y,p);    EY -= EX;

+

+  for (i=0; i

+    __cpy(y,&w,p);

+    __mul(x,&w,y,p);

+    __sub(&mptwo,y,&z,p);

+    __mul(&w,&z,y,p);

+  }

+  return;

+}

+

+

+/* Divide one multiple precision number by another.Set *z = *x / *y. *x & *y */

+/* are left unchanged. x&y may overlap but not x&z or y&z.                   */

+/* Relative error bound = 2.001*r**(1-p) for p=2, 2.063*r**(1-p) for p=3     */

+/* and 3.001*r**(1-p) for p>3. *y=0 is not permissible.                      */

+

+void __dvd(const mp_no *x, const mp_no *y, mp_no *z, int p) {

+

+  mp_no w;

+

+  if (X[0] == ZERO)    Z[0] = ZERO;

+  else                {__inv(y,&w,p);   __mul(x,&w,z,p);}

+  return;

+}

diff --git glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/Implies glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/Implies

new file mode 100644

index 0000000..a372141

--- /dev/null

+++ glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/Implies

@@ -0,0 +1,2 @@

+powerpc/power4/fpu

+powerpc/power4

diff --git glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/fpu/Makefile glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/fpu/Makefile

deleted file mode 100644

index f487ed6..0000000

--- glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/fpu/Makefile

+++ /dev/null

@@ -1,5 +0,0 @@

-# Makefile fragment for POWER4/5/5+ with FPU.

-

-ifeq ($(subdir),math)

-CFLAGS-mpa.c += --param max-unroll-times=4 -funroll-loops -fpeel-loops

-endif

diff --git glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/fpu/mpa.c glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/fpu/mpa.c

deleted file mode 100644

index d15680e..0000000

--- glibc-2.17-c758a686/sysdeps/powerpc/powerpc32/power4/fpu/mpa.c

+++ /dev/null

@@ -1,548 +0,0 @@

-

-/*

- * IBM Accurate Mathematical Library

- * written by International Business Machines Corp.

- * Copyright (C) 2001, 2006 Free Software Foundation

- *

- * 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 2.1 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 Lesser 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, see <http://www.gnu.org/licenses/>.

- */

-/************************************************************************/

-/*  MODULE_NAME: mpa.c                                                  */

-/*                                                                      */

-/*  FUNCTIONS:                                                          */

-/*               mcr                                                    */

-/*               acr                                                    */

-/*               cr                                                     */

-/*               cpy                                                    */

-/*               cpymn                                                  */

-/*               norm                                                   */

-/*               denorm                                                 */

-/*               mp_dbl                                                 */

-/*               dbl_mp                                                 */

-/*               add_magnitudes                                         */

-/*               sub_magnitudes                                         */

-/*               add                                                    */

-/*               sub                                                    */

-/*               mul                                                    */

-/*               inv                                                    */

-/*               dvd                                                    */

-/*                                                                      */

-/* Arithmetic functions for multiple precision numbers.                 */

-/* Relative errors are bounded                                          */

-/************************************************************************/

-

-

-#include "endian.h"

-#include "mpa.h"

-#include "mpa2.h"

-#include <sys/param.h>	/* For MIN() */

-/* mcr() compares the sizes of the mantissas of two multiple precision  */

-/* numbers. Mantissas are compared regardless of the signs of the       */

-/* numbers, even if x->d[0] or y->d[0] are zero. Exponents are also     */

-/* disregarded.                                                         */

-static int mcr(const mp_no *x, const mp_no *y, int p) {

-  long i;

-  long p2 = p;

-  for (i=1; i<=p2; i++) {

-    if      (X[i] == Y[i])  continue;

-    else if (X[i] >  Y[i])  return  1;

-    else                    return -1; }

-  return 0;

-}

-

-

-

-/* acr() compares the absolute values of two multiple precision numbers */

-int __acr(const mp_no *x, const mp_no *y, int p) {

-  long i;

-

-  if      (X[0] == ZERO) {

-    if    (Y[0] == ZERO) i= 0;

-    else                 i=-1;

-  }

-  else if (Y[0] == ZERO) i= 1;

-  else {

-    if      (EX >  EY)   i= 1;

-    else if (EX <  EY)   i=-1;

-    else                 i= mcr(x,y,p);

-  }

-

-  return i;

-}

-

-

-/* cr90 compares the values of two multiple precision numbers           */

-int  __cr(const mp_no *x, const mp_no *y, int p) {

-  int i;

-

-  if      (X[0] > Y[0])  i= 1;

-  else if (X[0] < Y[0])  i=-1;

-  else if (X[0] < ZERO ) i= __acr(y,x,p);

-  else                   i= __acr(x,y,p);

-

-  return i;

-}

-

-

-/* Copy a multiple precision number. Set *y=*x. x=y is permissible.      */

-void __cpy(const mp_no *x, mp_no *y, int p) {

-  long i;

-

-  EY = EX;

-  for (i=0; i <= p; i++)    Y[i] = X[i];