-/* Copyright (C) 1996, 1997, 1998 Free Software Foundation, Inc.
+/* Copyright (C) 1996-2015 Free Software Foundation, Inc.
Contributed by David Mosberger (davidm@cs.arizona.edu).
This file is part of the GNU C Library.
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
- License along with the GNU C Library; if not, write to the Free
- Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
- 02111-1307 USA. */
+ License along with the GNU C Library. If not, see
+ <http://www.gnu.org/licenses/>. */
+#include <math.h>
+#include <math_private.h>
+#include <shlib-compat.h>
#if !defined(_IEEE_FP_INEXACT)
unsigned long dn, up, half, almost_three_half;
unsigned long one_and_a_half, two_to_minus_30, one, nan;
const int T2[64];
-} sqrt_data = {
+} sqrt_data __attribute__((used)) = {
0x3fefffffffffffff, /* __dn = nextafter(1,-Inf) */
0x3ff0000000000001, /* __up = nextafter(1,+Inf) */
0x3fe0000000000000, /* half */
};
asm ("\
- /* Define offsets into the structure defined in C above. */
- $DN = 0*8
- $UP = 1*8
- $HALF = 2*8
- $ALMOST_THREE_HALF = 3*8
- $NAN = 7*8
- $T2 = 8*8
-
- /* Stack variables. */
- $K = 0
- $Y = 8
-
- .text
- .align 5
- .globl __ieee754_sqrt
- .ent __ieee754_sqrt
-__ieee754_sqrt:
- ldgp $29, 0($27)
- subq $sp, 16, $sp
+ /* Define offsets into the structure defined in C above. */ \n\
+ $DN = 0*8 \n\
+ $UP = 1*8 \n\
+ $HALF = 2*8 \n\
+ $ALMOST_THREE_HALF = 3*8 \n\
+ $NAN = 7*8 \n\
+ $T2 = 8*8 \n\
+ \n\
+ /* Stack variables. */ \n\
+ $K = 0 \n\
+ $Y = 8 \n\
+ \n\
+ .text \n\
+ .align 5 \n\
+ .globl __ieee754_sqrt \n\
+ .ent __ieee754_sqrt \n\
+__ieee754_sqrt: \n\
+ ldgp $29, 0($27) \n\
+ subq $sp, 16, $sp \n\
.frame $sp, 16, $26, 0\n"
#ifdef PROF
-" lda $28, _mcount
+" lda $28, _mcount \n\
jsr $28, ($28), _mcount\n"
#endif
-" .prologue 1
-
- .align 4
- stt $f16, $K($sp) # e0 :
- mult $f31, $f31, $f31 # .. fm :
- lda $4, sqrt_data # e0 :
- fblt $f16, $fixup # .. fa :
-
- ldah $2, 0x5fe8 # e0 :
- ldq $3, $K($sp) # .. e1 :
- ldt $f12, $HALF($4) # e0 :
- ldt $f18, $ALMOST_THREE_HALF($4) # .. e1 :
-
- sll $3, 52, $5 # e0 :
- lda $6, 0x7fd # .. e1 :
- fnop # .. fa :
- fnop # .. fm :
-
- subq $5, 1, $5 # e1 :
- srl $3, 33, $1 # .. e0 :
- cmpule $5, $6, $5 # e0 :
- beq $5, $fixup # .. e1 :
-
- mult $f16, $f12, $f11 # fm : $f11 = x * 0.5
- subl $2, $1, $2 # .. e0 :
- addt $f12, $f12, $f17 # .. fa : $f17 = 1.0
- srl $2, 12, $1 # e0 :
-
- and $1, 0xfc, $1 # e0 :
- addq $1, $4, $1 # e1 :
- ldl $1, $T2($1) # e0 :
- addt $f12, $f17, $f15 # .. fa : $f15 = 1.5
-
- subl $2, $1, $2 # e0 :
- ldt $f14, $DN($4) # .. e1 :
- sll $2, 32, $2 # e0 :
- stq $2, $Y($sp) # e0 :
-
- ldt $f13, $Y($sp) # e0 :
- mult/su $f11, $f13, $f10 # fm 2: $f10 = (x * 0.5) * y
- mult $f10, $f13, $f10 # fm 4: $f10 = ((x * 0.5) * y) * y
- subt $f15, $f10, $f1 # fa 4: $f1 = (1.5 - 0.5*x*y*y)
-
- mult $f13, $f1, $f13 # fm 4: yp = y*(1.5 - 0.5*x*y*y)
- mult/su $f11, $f13, $f1 # fm 4: $f11 = x * 0.5 * yp
- mult $f1, $f13, $f11 # fm 4: $f11 = (x * 0.5 * yp) * yp
- subt $f18, $f11, $f1 # fa 4: $f1= (1.5-2^-30) - 0.5*x*yp*yp
-
- mult $f13, $f1, $f13 # fm 4: ypp = $f13 = yp*$f1
- subt $f15, $f12, $f1 # .. fa : $f1 = (1.5 - 0.5)
- ldt $f15, $UP($4) # .. e0 :
- mult/su $f16, $f13, $f10 # fm 4: z = $f10 = x * ypp
-
- mult $f10, $f13, $f11 # fm 4: $f11 = z*ypp
- mult $f10, $f12, $f12 # fm : $f12 = z*0.5
- subt $f1, $f11, $f1 # fa 4: $f1 = 1 - z*ypp
- mult $f12, $f1, $f12 # fm 4: $f12 = z*0.5*(1 - z*ypp)
-
- addt $f10, $f12, $f0 # fa 4: zp=res= z + z*0.5*(1 - z*ypp)
- mult/c $f0, $f14, $f12 # fm 4: zmi = zp * DN
- mult/c $f0, $f15, $f11 # fm : zpl = zp * UP
- mult/c $f0, $f12, $f1 # fm : $f1 = zp * zmi
-
- mult/c $f0, $f11, $f15 # fm : $f15 = zp * zpl
- subt/su $f1, $f16, $f13 # .. fa : y1 = zp*zmi - x
- subt/su $f15, $f16, $f14 # fa 4: y2 = zp*zpl - x
- fcmovge $f13, $f12, $f0 # fa 3: res = (y1 >= 0) ? zmi : res
-
- fcmovlt $f14, $f11, $f0 # fa 4: res = (y2 < 0) ? zpl : res
- addq $sp, 16, $sp # .. e0 :
- ret # .. e1 :
+" .prologue 1 \n\
+ \n\
+ .align 4 \n\
+ stt $f16, $K($sp) # e0 : \n\
+ mult $f31, $f31, $f31 # .. fm : \n\
+ lda $4, sqrt_data # e0 : \n\
+ fblt $f16, $fixup # .. fa : \n\
+ \n\
+ ldah $2, 0x5fe8 # e0 : \n\
+ ldq $3, $K($sp) # .. e1 : \n\
+ ldt $f12, $HALF($4) # e0 : \n\
+ ldt $f18, $ALMOST_THREE_HALF($4) # .. e1 : \n\
+ \n\
+ sll $3, 52, $5 # e0 : \n\
+ lda $6, 0x7fd # .. e1 : \n\
+ fnop # .. fa : \n\
+ fnop # .. fm : \n\
+ \n\
+ subq $5, 1, $5 # e1 : \n\
+ srl $3, 33, $1 # .. e0 : \n\
+ cmpule $5, $6, $5 # e0 : \n\
+ beq $5, $fixup # .. e1 : \n\
+ \n\
+ mult $f16, $f12, $f11 # fm : $f11 = x * 0.5 \n\
+ subl $2, $1, $2 # .. e0 : \n\
+ addt $f12, $f12, $f17 # .. fa : $f17 = 1.0 \n\
+ srl $2, 12, $1 # e0 : \n\
+ \n\
+ and $1, 0xfc, $1 # e0 : \n\
+ addq $1, $4, $1 # e1 : \n\
+ ldl $1, $T2($1) # e0 : \n\
+ addt $f12, $f17, $f15 # .. fa : $f15 = 1.5 \n\
+ \n\
+ subl $2, $1, $2 # e0 : \n\
+ ldt $f14, $DN($4) # .. e1 : \n\
+ sll $2, 32, $2 # e0 : \n\
+ stq $2, $Y($sp) # e0 : \n\
+ \n\
+ ldt $f13, $Y($sp) # e0 : \n\
+ mult/su $f11, $f13, $f10 # fm 2: $f10 = (x * 0.5) * y \n\
+ mult $f10, $f13, $f10 # fm 4: $f10 = ((x*0.5)*y)*y \n\
+ subt $f15, $f10, $f1 # fa 4: $f1 = (1.5-0.5*x*y*y) \n\
+ \n\
+ mult $f13, $f1, $f13 # fm 4: yp = y*(1.5-0.5*x*y^2)\n\
+ mult/su $f11, $f13, $f1 # fm 4: $f11 = x * 0.5 * yp \n\
+ mult $f1, $f13, $f11 # fm 4: $f11 = (x*0.5*yp)*yp \n\
+ subt $f18, $f11, $f1 # fa 4: $f1=(1.5-2^-30)-x/2*yp^2\n\
+ \n\
+ mult $f13, $f1, $f13 # fm 4: ypp = $f13 = yp*$f1 \n\
+ subt $f15, $f12, $f1 # .. fa : $f1 = (1.5 - 0.5) \n\
+ ldt $f15, $UP($4) # .. e0 : \n\
+ mult/su $f16, $f13, $f10 # fm 4: z = $f10 = x * ypp \n\
+ \n\
+ mult $f10, $f13, $f11 # fm 4: $f11 = z*ypp \n\
+ mult $f10, $f12, $f12 # fm : $f12 = z*0.5 \n\
+ subt $f1, $f11, $f1 # fa 4: $f1 = 1 - z*ypp \n\
+ mult $f12, $f1, $f12 # fm 4: $f12 = z/2*(1 - z*ypp)\n\
+ \n\
+ addt $f10, $f12, $f0 # fa 4: zp=res= z+z/2*(1-z*ypp)\n\
+ mult/c $f0, $f14, $f12 # fm 4: zmi = zp * DN \n\
+ mult/c $f0, $f15, $f11 # fm : zpl = zp * UP \n\
+ mult/c $f0, $f12, $f1 # fm : $f1 = zp * zmi \n\
+ \n\
+ mult/c $f0, $f11, $f15 # fm : $f15 = zp * zpl \n\
+ subt/su $f1, $f16, $f13 # .. fa : y1 = zp*zmi - x \n\
+ subt/su $f15, $f16, $f14 # fa 4: y2 = zp*zpl - x \n\
+ fcmovge $f13, $f12, $f0 # fa 3: res = (y1>=0)?zmi:res \n\
+ \n\
+ fcmovlt $f14, $f11, $f0 # fa 4: res = (y2<0)?zpl:res \n\
+ addq $sp, 16, $sp # .. e0 : \n\
+ ret # .. e1 : \n\
+ \n\
+ .align 4 \n\
+$fixup: \n\
+ addq $sp, 16, $sp \n\
+ br __full_ieee754_sqrt !samegp \n\
+ \n\
+ .end __ieee754_sqrt");
- .align 4
-$fixup:
- addq $sp, 16, $sp
- br "ASM_ALPHA_NG_SYMBOL_PREFIX"__full_ieee754_sqrt..ng
+/* Avoid the __sqrt_finite alias that dbl-64/e_sqrt.c would give... */
+#undef strong_alias
+#define strong_alias(a,b)
- .end __ieee754_sqrt");
+/* ... defining our own. */
+#if SHLIB_COMPAT (libm, GLIBC_2_15, GLIBC_2_18)
+asm (".global __sqrt_finite1; __sqrt_finite1 = __ieee754_sqrt");
+#else
+asm (".global __sqrt_finite; __sqrt_finite = __ieee754_sqrt");
+#endif
-static double __full_ieee754_sqrt(double) __attribute__((unused));
+static double __full_ieee754_sqrt(double) __attribute_used__;
#define __ieee754_sqrt __full_ieee754_sqrt
+#elif SHLIB_COMPAT (libm, GLIBC_2_15, GLIBC_2_18)
+# define __sqrt_finite __sqrt_finite1
#endif /* _IEEE_FP_INEXACT */
#include <sysdeps/ieee754/dbl-64/e_sqrt.c>
+
+/* Work around forgotten symbol in alphaev6 build. */
+#if SHLIB_COMPAT (libm, GLIBC_2_15, GLIBC_2_18)
+# undef __sqrt_finite
+# undef __ieee754_sqrt
+compat_symbol (libm, __sqrt_finite1, __sqrt_finite, GLIBC_2_15);
+versioned_symbol (libm, __ieee754_sqrt, __sqrt_finite, GLIBC_2_18);
+#endif
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