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authorRalf Baechle <ralf@linux-mips.org>1995-11-14 08:00:00 +0000
committer <ralf@linux-mips.org>1995-11-14 08:00:00 +0000
commite7c2a72e2680827d6a733931273a93461c0d8d1b (patch)
treec9abeda78ef7504062bb2e816bcf3e3c9d680112 /arch/i386/math-emu/poly_2xm1.c
parentec6044459060a8c9ce7f64405c465d141898548c (diff)
Import of Linux/MIPS 1.3.0
Diffstat (limited to 'arch/i386/math-emu/poly_2xm1.c')
-rw-r--r--arch/i386/math-emu/poly_2xm1.c152
1 files changed, 152 insertions, 0 deletions
diff --git a/arch/i386/math-emu/poly_2xm1.c b/arch/i386/math-emu/poly_2xm1.c
new file mode 100644
index 000000000..f7c585d60
--- /dev/null
+++ b/arch/i386/math-emu/poly_2xm1.c
@@ -0,0 +1,152 @@
+/*---------------------------------------------------------------------------+
+ | poly_2xm1.c |
+ | |
+ | Function to compute 2^x-1 by a polynomial approximation. |
+ | |
+ | Copyright (C) 1992,1993,1994 |
+ | W. Metzenthen, 22 Parker St, Ormond, Vic 3163, |
+ | Australia. E-mail billm@vaxc.cc.monash.edu.au |
+ | |
+ | |
+ +---------------------------------------------------------------------------*/
+
+#include "exception.h"
+#include "reg_constant.h"
+#include "fpu_emu.h"
+#include "control_w.h"
+#include "poly.h"
+
+
+#define HIPOWER 11
+static const unsigned long long lterms[HIPOWER] =
+{
+ 0x0000000000000000LL, /* This term done separately as 12 bytes */
+ 0xf5fdeffc162c7543LL,
+ 0x1c6b08d704a0bfa6LL,
+ 0x0276556df749cc21LL,
+ 0x002bb0ffcf14f6b8LL,
+ 0x0002861225ef751cLL,
+ 0x00001ffcbfcd5422LL,
+ 0x00000162c005d5f1LL,
+ 0x0000000da96ccb1bLL,
+ 0x0000000078d1b897LL,
+ 0x000000000422b029LL
+};
+
+static const Xsig hiterm = MK_XSIG(0xb17217f7, 0xd1cf79ab, 0xc8a39194);
+
+/* Four slices: 0.0 : 0.25 : 0.50 : 0.75 : 1.0,
+ These numbers are 2^(1/4), 2^(1/2), and 2^(3/4)
+ */
+static const Xsig shiftterm0 = MK_XSIG(0, 0, 0);
+static const Xsig shiftterm1 = MK_XSIG(0x9837f051, 0x8db8a96f, 0x46ad2318);
+static const Xsig shiftterm2 = MK_XSIG(0xb504f333, 0xf9de6484, 0x597d89b3);
+static const Xsig shiftterm3 = MK_XSIG(0xd744fcca, 0xd69d6af4, 0x39a68bb9);
+
+static const Xsig *shiftterm[] = { &shiftterm0, &shiftterm1,
+ &shiftterm2, &shiftterm3 };
+
+
+/*--- poly_2xm1() -----------------------------------------------------------+
+ | Requires an argument which is TW_Valid and < 1. |
+ +---------------------------------------------------------------------------*/
+int poly_2xm1(FPU_REG const *arg, FPU_REG *result)
+{
+ long int exponent, shift;
+ unsigned long long Xll;
+ Xsig accumulator, Denom, argSignif;
+
+
+ exponent = arg->exp - EXP_BIAS;
+
+#ifdef PARANOID
+ if ( (exponent >= 0) /* Don't want a |number| >= 1.0 */
+ || (arg->tag != TW_Valid) )
+ {
+ /* Number negative, too large, or not Valid. */
+ EXCEPTION(EX_INTERNAL|0x127);
+ return 1;
+ }
+#endif PARANOID
+
+ argSignif.lsw = 0;
+ XSIG_LL(argSignif) = Xll = significand(arg);
+
+ if ( exponent == -1 )
+ {
+ shift = (argSignif.msw & 0x40000000) ? 3 : 2;
+ /* subtract 0.5 or 0.75 */
+ exponent -= 2;
+ XSIG_LL(argSignif) <<= 2;
+ Xll <<= 2;
+ }
+ else if ( exponent == -2 )
+ {
+ shift = 1;
+ /* subtract 0.25 */
+ exponent--;
+ XSIG_LL(argSignif) <<= 1;
+ Xll <<= 1;
+ }
+ else
+ shift = 0;
+
+ if ( exponent < -2 )
+ {
+ /* Shift the argument right by the required places. */
+ if ( shrx(&Xll, -2-exponent) >= 0x80000000U )
+ Xll++; /* round up */
+ }
+
+ accumulator.lsw = accumulator.midw = accumulator.msw = 0;
+ polynomial_Xsig(&accumulator, &Xll, lterms, HIPOWER-1);
+ mul_Xsig_Xsig(&accumulator, &argSignif);
+ shr_Xsig(&accumulator, 3);
+
+ mul_Xsig_Xsig(&argSignif, &hiterm); /* The leading term */
+ add_two_Xsig(&accumulator, &argSignif, &exponent);
+
+ if ( shift )
+ {
+ /* The argument is large, use the identity:
+ f(x+a) = f(a) * (f(x) + 1) - 1;
+ */
+ shr_Xsig(&accumulator, - exponent);
+ accumulator.msw |= 0x80000000; /* add 1.0 */
+ mul_Xsig_Xsig(&accumulator, shiftterm[shift]);
+ accumulator.msw &= 0x3fffffff; /* subtract 1.0 */
+ exponent = 1;
+ }
+
+ if ( arg->sign != SIGN_POS )
+ {
+ /* The argument is negative, use the identity:
+ f(-x) = -f(x) / (1 + f(x))
+ */
+ Denom.lsw = accumulator.lsw;
+ XSIG_LL(Denom) = XSIG_LL(accumulator);
+ if ( exponent < 0 )
+ shr_Xsig(&Denom, - exponent);
+ else if ( exponent > 0 )
+ {
+ /* exponent must be 1 here */
+ XSIG_LL(Denom) <<= 1;
+ if ( Denom.lsw & 0x80000000 )
+ XSIG_LL(Denom) |= 1;
+ (Denom.lsw) <<= 1;
+ }
+ Denom.msw |= 0x80000000; /* add 1.0 */
+ div_Xsig(&accumulator, &Denom, &accumulator);
+ }
+
+ /* Convert to 64 bit signed-compatible */
+ exponent += round_Xsig(&accumulator);
+
+ significand(result) = XSIG_LL(accumulator);
+ result->tag = TW_Valid;
+ result->exp = exponent + EXP_BIAS;
+ result->sign = arg->sign;
+
+ return 0;
+
+}