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authorZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
committerZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
commit5046dbb4a7eba5eccfd258f92f4735c9ffc8d069 (patch)
tree4470480d904b65cf14ca524f96f79eca818c3eaf /REORG.TODO/sysdeps/i386/fpu/s_cbrt.S
parent199fc19d3aaaf57944ef036e15904febe877fc93 (diff)
downloadglibc-zack/build-layout-experiment.tar.gz
Prepare for radical source tree reorganization.zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage directory, REORG.TODO, except for files that will certainly still exist in their current form at top level when we're done (COPYING, COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which are moved to the new directory OldChangeLogs, instead), and the generated file INSTALL (which is just deleted; in the new order, there will be no generated files checked into version control).
Diffstat (limited to 'REORG.TODO/sysdeps/i386/fpu/s_cbrt.S')
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diff --git a/REORG.TODO/sysdeps/i386/fpu/s_cbrt.S b/REORG.TODO/sysdeps/i386/fpu/s_cbrt.S
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+++ b/REORG.TODO/sysdeps/i386/fpu/s_cbrt.S
@@ -0,0 +1,200 @@
+/* Compute cubic root of double value.
+ Copyright (C) 1997-2017 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Dirk Alboth <dirka@uni-paderborn.de> and
+ Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library 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.
+
+ The GNU C Library 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 the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <machine/asm.h>
+
+ .section .rodata
+
+ .align ALIGNARG(4)
+ .type f7,@object
+f7: .double -0.145263899385486377
+ ASM_SIZE_DIRECTIVE(f7)
+ .type f6,@object
+f6: .double 0.784932344976639262
+ ASM_SIZE_DIRECTIVE(f6)
+ .type f5,@object
+f5: .double -1.83469277483613086
+ ASM_SIZE_DIRECTIVE(f5)
+ .type f4,@object
+f4: .double 2.44693122563534430
+ ASM_SIZE_DIRECTIVE(f4)
+ .type f3,@object
+f3: .double -2.11499494167371287
+ ASM_SIZE_DIRECTIVE(f3)
+ .type f2,@object
+f2: .double 1.50819193781584896
+ ASM_SIZE_DIRECTIVE(f2)
+ .type f1,@object
+f1: .double 0.354895765043919860
+ ASM_SIZE_DIRECTIVE(f1)
+
+#define CBRT2 1.2599210498948731648
+#define ONE_CBRT2 0.793700525984099737355196796584
+#define SQR_CBRT2 1.5874010519681994748
+#define ONE_SQR_CBRT2 0.629960524947436582364439673883
+
+ .type factor,@object
+factor: .double ONE_SQR_CBRT2
+ .double ONE_CBRT2
+ .double 1.0
+ .double CBRT2
+ .double SQR_CBRT2
+ ASM_SIZE_DIRECTIVE(factor)
+
+ .type two54,@object
+two54: .byte 0, 0, 0, 0, 0, 0, 0x50, 0x43
+ ASM_SIZE_DIRECTIVE(two54)
+
+#ifdef PIC
+#define MO(op) op##@GOTOFF(%ebx)
+#define MOX(op,x) op##@GOTOFF(%ebx,x,1)
+#else
+#define MO(op) op
+#define MOX(op,x) op(x)
+#endif
+
+ .text
+ENTRY(__cbrt)
+ movl 4(%esp), %ecx
+ movl 8(%esp), %eax
+ movl %eax, %edx
+ andl $0x7fffffff, %eax
+ orl %eax, %ecx
+ jz 1f
+ xorl %ecx, %ecx
+ cmpl $0x7ff00000, %eax
+ jae 1f
+
+#ifdef PIC
+ pushl %ebx
+ cfi_adjust_cfa_offset (4)
+ cfi_rel_offset (ebx, 0)
+ LOAD_PIC_REG (bx)
+#endif
+
+ cmpl $0x00100000, %eax
+ jae 2f
+
+#ifdef PIC
+ fldl 8(%esp)
+#else
+ fldl 4(%esp)
+#endif
+ fmull MO(two54)
+ movl $-54, %ecx
+#ifdef PIC
+ fstpl 8(%esp)
+ movl 12(%esp), %eax
+#else
+ fstpl 4(%esp)
+ movl 8(%esp), %eax
+#endif
+ movl %eax, %edx
+ andl $0x7fffffff, %eax
+
+2: shrl $20, %eax
+ andl $0x800fffff, %edx
+ subl $1022, %eax
+ orl $0x3fe00000, %edx
+ addl %eax, %ecx
+#ifdef PIC
+ movl %edx, 12(%esp)
+
+ fldl 8(%esp) /* xm */
+#else
+ movl %edx, 8(%esp)
+
+ fldl 4(%esp) /* xm */
+#endif
+ fabs
+
+ /* The following code has two tracks:
+ a) compute the normalized cbrt value
+ b) compute xe/3 and xe%3
+ The right track computes the value for b) and this is done
+ in an optimized way by avoiding division.
+
+ But why two tracks at all? Very easy: efficiency. Some FP
+ instruction can overlap with a certain amount of integer (and
+ FP) instructions. So we get (except for the imull) all
+ instructions for free. */
+
+ fld %st(0) /* xm : xm */
+
+ fmull MO(f7) /* f7*xm : xm */
+ movl $1431655766, %eax
+ faddl MO(f6) /* f6+f7*xm : xm */
+ imull %ecx
+ fmul %st(1) /* (f6+f7*xm)*xm : xm */
+ movl %ecx, %eax
+ faddl MO(f5) /* f5+(f6+f7*xm)*xm : xm */
+ sarl $31, %eax
+ fmul %st(1) /* (f5+(f6+f7*xm)*xm)*xm : xm */
+ subl %eax, %edx
+ faddl MO(f4) /* f4+(f5+(f6+f7*xm)*xm)*xm : xm */
+ fmul %st(1) /* (f4+(f5+(f6+f7*xm)*xm)*xm)*xm : xm */
+ faddl MO(f3) /* f3+(f4+(f5+(f6+f7*xm)*xm)*xm)*xm : xm */
+ fmul %st(1) /* (f3+(f4+(f5+(f6+f7*xm)*xm)*xm)*xm)*xm : xm */
+ faddl MO(f2) /* f2+(f3+(f4+(f5+(f6+f7*xm)*xm)*xm)*xm)*xm : xm */
+ fmul %st(1) /* (f2+(f3+(f4+(f5+(f6+f7*xm)*xm)*xm)*xm)*xm)*xm : xm */
+ faddl MO(f1) /* u:=f1+(f2+(f3+(f4+(f5+(f6+f7*xm)*xm)*xm)*xm)*xm)*xm : xm */
+
+ fld %st /* u : u : xm */
+ fmul %st(1) /* u*u : u : xm */
+ fld %st(2) /* xm : u*u : u : xm */
+ fadd %st /* 2*xm : u*u : u : xm */
+ fxch %st(1) /* u*u : 2*xm : u : xm */
+ fmul %st(2) /* t2:=u*u*u : 2*xm : u : xm */
+ movl %edx, %eax
+ fadd %st, %st(1) /* t2 : t2+2*xm : u : xm */
+ leal (%edx,%edx,2),%edx
+ fadd %st(0) /* 2*t2 : t2+2*xm : u : xm */
+ subl %edx, %ecx
+ faddp %st, %st(3) /* t2+2*xm : u : 2*t2+xm */
+ shll $3, %ecx
+ fmulp /* u*(t2+2*xm) : 2*t2+xm */
+ fdivp %st, %st(1) /* u*(t2+2*xm)/(2*t2+xm) */
+ fmull MOX(16+factor,%ecx) /* u*(t2+2*xm)/(2*t2+xm)*FACT */
+ pushl %eax
+ cfi_adjust_cfa_offset (4)
+ fildl (%esp) /* xe/3 : u*(t2+2*xm)/(2*t2+xm)*FACT */
+ fxch /* u*(t2+2*xm)/(2*t2+xm)*FACT : xe/3 */
+ fscale /* u*(t2+2*xm)/(2*t2+xm)*FACT*2^xe/3 */
+ popl %edx
+ cfi_adjust_cfa_offset (-4)
+#ifdef PIC
+ movl 12(%esp), %eax
+ popl %ebx
+ cfi_adjust_cfa_offset (-4)
+ cfi_restore (ebx)
+#else
+ movl 8(%esp), %eax
+#endif
+ testl %eax, %eax
+ fstp %st(1)
+ jns 4f
+ fchs
+4: ret
+
+ /* Return the argument. */
+1: fldl 4(%esp)
+ ret
+END(__cbrt)
+weak_alias (__cbrt, cbrt)