Standard Libraries for EDK II.

This set of three packages: AppPkg, StdLib, StdLibPrivateInternalFiles; contains the implementation of libraries based upon non-UEFI standards such as ISO/IEC-9899, the library portion of the C Language Standard, POSIX, etc.

AppPkg contains applications that make use of the standard libraries defined in the StdLib Package.

StdLib contains header (include) files and the implementations of the standard libraries.

StdLibPrivateInternalFiles contains files for the exclusive use of the library implementations in StdLib.  These files should never be directly referenced from applications or other code.


git-svn-id: https://edk2.svn.sourceforge.net/svnroot/edk2/trunk/edk2@11600 6f19259b-4bc3-4df7-8a09-765794883524

1 files changed, 169 insertions, 0 deletions

diff --git a/StdLib/LibC/Math/e_rem_pio2.c b/StdLib/LibC/Math/e_rem_pio2.c
new file mode 100644
index 0000000000..7b06d1775f
--- /dev/null
+++ b/StdLib/LibC/Math/e_rem_pio2.c
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+/* @(#)e_rem_pio2.c 5.1 93/09/24 */

+/*

+ * ====================================================

+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.

+ *

+ * Developed at SunPro, a Sun Microsystems, Inc. business.

+ * Permission to use, copy, modify, and distribute this

+ * software is freely granted, provided that this notice

+ * is preserved.

+ * ====================================================

+ */

+#include  <LibConfig.h>

+#include  <sys/EfiCdefs.h>

+#if defined(LIBM_SCCS) && !defined(lint)

+__RCSID("$NetBSD: e_rem_pio2.c,v 1.11 2002/05/26 22:01:52 wiz Exp $");

+#endif

+

+/* __ieee754_rem_pio2(x,y)

+ *

+ * return the remainder of x rem pi/2 in y[0]+y[1]

+ * use __kernel_rem_pio2()

+ */

+

+#include "math.h"

+#include "math_private.h"

+

+/*

+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi

+ */

+static const int32_t two_over_pi[] = {

+0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,

+0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,

+0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,

+0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,

+0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,

+0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,

+0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,

+0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,

+0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,

+0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,

+0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B,

+};

+

+static const int32_t npio2_hw[] = {

+0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C,

+0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C,

+0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A,

+0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C,

+0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB,

+0x404858EB, 0x404921FB,

+};

+

+/*

+ * invpio2:  53 bits of 2/pi

+ * pio2_1:   first  33 bit of pi/2

+ * pio2_1t:  pi/2 - pio2_1

+ * pio2_2:   second 33 bit of pi/2

+ * pio2_2t:  pi/2 - (pio2_1+pio2_2)

+ * pio2_3:   third  33 bit of pi/2

+ * pio2_3t:  pi/2 - (pio2_1+pio2_2+pio2_3)

+ */

+

+static const double

+zero =  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */

+half =  5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */

+two24 =  1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */

+invpio2 =  6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */

+pio2_1  =  1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */

+pio2_1t =  6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */

+pio2_2  =  6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */

+pio2_2t =  2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */

+pio2_3  =  2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */

+pio2_3t =  8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */

+

+int32_t

+__ieee754_rem_pio2(double x, double *y)

+{

+  double z,w,t,r,fn;

+  double tx[3];

+  int32_t e0,i,j,nx,n,ix,hx;

+  u_int32_t low;

+

+  z = 0;

+  GET_HIGH_WORD(hx,x);    /* high word of x */

+  ix = hx&0x7fffffff;

+  if(ix<=0x3fe921fb)   /* |x| ~<= pi/4 , no need for reduction */

+      {y[0] = x; y[1] = 0; return 0;}

+  if(ix<0x4002d97c) {  /* |x| < 3pi/4, special case with n=+-1 */

+      if(hx>0) {

+    z = x - pio2_1;

+    if(ix!=0x3ff921fb) {  /* 33+53 bit pi is good enough */

+        y[0] = z - pio2_1t;

+        y[1] = (z-y[0])-pio2_1t;

+    } else {    /* near pi/2, use 33+33+53 bit pi */

+        z -= pio2_2;

+        y[0] = z - pio2_2t;

+        y[1] = (z-y[0])-pio2_2t;

+    }

+    return 1;

+      } else {  /* negative x */

+    z = x + pio2_1;

+    if(ix!=0x3ff921fb) {  /* 33+53 bit pi is good enough */

+        y[0] = z + pio2_1t;

+        y[1] = (z-y[0])+pio2_1t;

+    } else {    /* near pi/2, use 33+33+53 bit pi */

+        z += pio2_2;

+        y[0] = z + pio2_2t;

+        y[1] = (z-y[0])+pio2_2t;

+    }

+    return -1;

+      }

+  }

+  if(ix<=0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */

+      t  = fabs(x);

+      n  = (int32_t) (t*invpio2+half);

+      fn = (double)n;

+      r  = t-fn*pio2_1;

+      w  = fn*pio2_1t;  /* 1st round good to 85 bit */

+      if(n<32&&ix!=npio2_hw[n-1]) {

+    y[0] = r-w; /* quick check no cancellation */

+      } else {

+          u_int32_t high;

+          j  = ix>>20;

+          y[0] = r-w;

+    GET_HIGH_WORD(high,y[0]);

+          i = j-((high>>20)&0x7ff);

+          if(i>16) {  /* 2nd iteration needed, good to 118 */

+        t  = r;

+        w  = fn*pio2_2;

+        r  = t-w;

+        w  = fn*pio2_2t-((t-r)-w);

+        y[0] = r-w;

+        GET_HIGH_WORD(high,y[0]);

+        i = j-((high>>20)&0x7ff);

+        if(i>49)  { /* 3rd iteration need, 151 bits acc */

+          t  = r; /* will cover all possible cases */

+          w  = fn*pio2_3;

+          r  = t-w;

+          w  = fn*pio2_3t-((t-r)-w);

+          y[0] = r-w;

+        }

+    }

+      }

+      y[1] = (r-y[0])-w;

+      if(hx<0)  {y[0] = -y[0]; y[1] = -y[1]; return -n;}

+      else   return n;

+  }

+    /*

+     * all other (large) arguments

+     */

+  if(ix>=0x7ff00000) {    /* x is inf or NaN */

+      y[0]=y[1]=x-x; return 0;

+  }

+    /* set z = scalbn(|x|,ilogb(x)-23) */

+  GET_LOW_WORD(low,x);

+  SET_LOW_WORD(z,low);

+  e0  = (ix>>20)-1046;  /* e0 = ilogb(z)-23; */

+  SET_HIGH_WORD(z, ix - ((int32_t)(e0<<20)));

+  for(i=0;i<2;i++) {

+    tx[i] = (double)((int32_t)(z));

+    z     = (z-tx[i])*two24;

+  }

+  tx[2] = z;

+  nx = 3;

+  while(tx[nx-1]==zero) nx--; /* skip zero term */

+  n  =  __kernel_rem_pio2(tx,y,e0,nx,2,two_over_pi);

+  if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}

+  return n;

+}