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authorRichard Henderson <rth@redhat.com>2004-03-27 00:32:28 +0000
committerRichard Henderson <rth@redhat.com>2004-03-27 00:32:28 +0000
commit08e3c578caa2559652923e67d73ca7b43dc22d97 (patch)
treee5f6a7c03b6b67bf20c78c62f2c0e11968f91c55 /sysdeps
parenta66be890064cd9626e2659bb7240686a26421e8e (diff)
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* sysdeps/alpha/Makefile <gnulib> (sysdep_routines): Merge divrem
variable, add unsigned variants. * sysdeps/alpha/divrem.h: Remove file. * sysdeps/alpha/div_libc.h: New file. * sysdeps/alpha/divl.S: Rewrite from scratch. * sysdeps/alpha/reml.S: Likewise. * sysdeps/alpha/divq.S: Likewise. * sysdeps/alpha/remq.S: Likewise. * sysdeps/alpha/divlu.S: New file. * sysdeps/alpha/remlu.S: New file. * sysdeps/alpha/divqu.S: New file. * sysdeps/alpha/remqu.S: New file.
Diffstat (limited to 'sysdeps')
-rw-r--r--sysdeps/alpha/Makefile4
-rw-r--r--sysdeps/alpha/div_libc.h113
-rw-r--r--sysdeps/alpha/divl.S79
-rw-r--r--sysdeps/alpha/divlu.S4
-rw-r--r--sysdeps/alpha/divq.S269
-rw-r--r--sysdeps/alpha/divqu.S244
-rw-r--r--sysdeps/alpha/divrem.h225
-rw-r--r--sysdeps/alpha/reml.S84
-rw-r--r--sysdeps/alpha/remlu.S4
-rw-r--r--sysdeps/alpha/remq.S265
-rw-r--r--sysdeps/alpha/remqu.S251
11 files changed, 1294 insertions, 248 deletions
diff --git a/sysdeps/alpha/Makefile b/sysdeps/alpha/Makefile
index ce8f9b3fef..1e74d82f58 100644
--- a/sysdeps/alpha/Makefile
+++ b/sysdeps/alpha/Makefile
@@ -26,7 +26,7 @@ sysdep_routines += _mcount
endif
ifeq ($(subdir),gnulib)
-sysdep_routines += $(divrem)
+sysdep_routines += divl divlu divq divqu reml remlu remq remqu
endif
ifeq ($(subdir),string)
@@ -38,8 +38,6 @@ ifeq ($(subdir),elf)
CFLAGS-rtld.c = -mbuild-constants
endif
-divrem := divl divq reml remq
-
# For now, build everything with full IEEE math support.
# TODO: build separate libm and libm-ieee.
sysdep-CFLAGS += -mieee
diff --git a/sysdeps/alpha/div_libc.h b/sysdeps/alpha/div_libc.h
new file mode 100644
index 0000000000..98566435ce
--- /dev/null
+++ b/sysdeps/alpha/div_libc.h
@@ -0,0 +1,113 @@
+/* Copyright (C) 2004 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ 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, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+/* Common bits for implementing software divide. */
+
+#include <sysdep.h>
+#ifdef __linux__
+# include <asm/gentrap.h>
+# include <asm/pal.h>
+#else
+# include <machine/pal.h>
+#endif
+
+/* These are not normal C functions. Argument registers are t10 and t11;
+ the result goes in t12; the return address is in t9. Only t12 and AT
+ may be clobbered. */
+#define X t10
+#define Y t11
+#define RV t12
+#define RA t9
+
+/* None of these functions should use implicit anything. */
+ .set nomacro
+ .set noat
+
+/* Code fragment to invoke _mcount for profiling. This should be invoked
+ directly after allocation of the stack frame. */
+.macro CALL_MCOUNT
+#ifdef PROF
+ stq ra, 0(sp)
+ stq pv, 8(sp)
+ stq gp, 16(sp)
+ cfi_rel_offset (ra, 0)
+ cfi_rel_offset (pv, 8)
+ cfi_rel_offset (gp, 16)
+ br AT, 1f
+ .set macro
+1: ldgp gp, 0(AT)
+ mov RA, ra
+ lda AT, _mcount
+ jsr AT, (AT), _mcount
+ .set nomacro
+ ldq ra, 0(sp)
+ ldq pv, 8(sp)
+ ldq gp, 16(sp)
+ cfi_restore (ra)
+ cfi_restore (pv)
+ cfi_restore (gp)
+ /* Realign subsequent code with what we'd have without this
+ macro at all. This means aligned with one arithmetic insn
+ used within the bundle. */
+ .align 4
+ nop
+#endif
+.endm
+
+/* In order to make the below work, all top-level divide routines must
+ use the same frame size. */
+#define FRAME 48
+
+/* Code fragment to generate an integer divide-by-zero fault. When
+ building libc.so, we arrange for there to be one copy of this code
+ placed late in the dso, such that all branches are forward. When
+ building libc.a, we use multiple copies to avoid having an out of
+ range branch. Users should jump to DIVBYZERO. */
+
+.macro DO_DIVBYZERO
+#ifdef PIC
+#define DIVBYZERO __divbyzero
+ .section .gnu.linkonce.t.divbyzero, "ax", @progbits
+ .globl __divbyzero
+ .type __divbyzero, @function
+ .usepv __divbyzero, no
+ .hidden __divbyzero
+#else
+#define DIVBYZERO $divbyzero
+#endif
+
+ .align 4
+DIVBYZERO:
+ cfi_startproc
+ cfi_return_column (RA)
+ cfi_def_cfa_offset (FRAME)
+
+ mov a0, RV
+ unop
+ lda a0, GEN_INTDIV
+ call_pal PAL_gentrap
+
+ mov RV, a0
+ clr RV
+ lda sp, FRAME(sp)
+ cfi_def_cfa_offset (0)
+ ret $31, (RA), 1
+
+ cfi_endproc
+ .size DIVBYZERO, .-DIVBYZERO
+.endm
diff --git a/sysdeps/alpha/divl.S b/sysdeps/alpha/divl.S
index fdf053fc25..33fa1187d9 100644
--- a/sysdeps/alpha/divl.S
+++ b/sysdeps/alpha/divl.S
@@ -1,6 +1,75 @@
-#define IS_REM 0
-#define SIZE 4
-#define UFUNC_NAME __divlu
-#define SFUNC_NAME __divl
+/* Copyright (C) 2004 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
-#include "divrem.h"
+ 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, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "div_libc.h"
+
+/* 32-bit signed int divide. This is not a normal C function. Argument
+ registers are t10 and t11, the result goes in t12. Only t12 and AT may
+ be clobbered.
+
+ The FPU can handle all input values except zero. Whee! */
+
+#ifndef EXTEND
+#define EXTEND(S,D) sextl S, D
+#endif
+
+ .text
+ .align 4
+ .globl __divl
+ .type __divl, @function
+ .usepv __divl, no
+
+ cfi_startproc
+ cfi_return_column (RA)
+__divl:
+ lda sp, -FRAME(sp)
+ cfi_def_cfa_offset (FRAME)
+ CALL_MCOUNT
+ stt $f0, 0(sp)
+ stt $f1, 8(sp)
+ beq Y, DIVBYZERO
+ cfi_rel_offset ($f0, 0)
+ cfi_rel_offset ($f1, 8)
+
+ EXTEND (X, RV)
+ EXTEND (Y, AT)
+ stq RV, 16(sp)
+ stq AT, 24(sp)
+
+ ldt $f0, 16(sp)
+ ldt $f1, 24(sp)
+ cvtqt $f0, $f0
+ cvtqt $f1, $f1
+
+ divt/c $f0, $f1, $f0
+ cvttq/c $f0, $f0
+ stt $f0, 16(sp)
+ ldt $f0, 0(sp)
+
+ ldt $f1, 8(sp)
+ ldl RV, 16(sp)
+ lda sp, FRAME(sp)
+ cfi_restore ($f0)
+ cfi_restore ($f1)
+ cfi_def_cfa_offset (0)
+ ret $31, (RA), 1
+
+ cfi_endproc
+ .size __divl, .-__divl
+
+ DO_DIVBYZERO
diff --git a/sysdeps/alpha/divlu.S b/sysdeps/alpha/divlu.S
new file mode 100644
index 0000000000..5c54bb54c0
--- /dev/null
+++ b/sysdeps/alpha/divlu.S
@@ -0,0 +1,4 @@
+#define UNSIGNED
+#define EXTEND(S,D) zapnot S, 15, D
+#define __divl __divlu
+#include <divl.S>
diff --git a/sysdeps/alpha/divq.S b/sysdeps/alpha/divq.S
index 8c88af9736..464536db3d 100644
--- a/sysdeps/alpha/divq.S
+++ b/sysdeps/alpha/divq.S
@@ -1,6 +1,265 @@
-#define IS_REM 0
-#define SIZE 8
-#define UFUNC_NAME __divqu
-#define SFUNC_NAME __divq
+/* Copyright (C) 2004 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
-#include "divrem.h"
+ 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, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "div_libc.h"
+
+
+/* 64-bit signed long divide. These are not normal C functions. Argument
+ registers are t10 and t11, the result goes in t12. Only t12 and AT may
+ be clobbered.
+
+ Theory of operation here is that we can use the FPU divider for virtually
+ all operands that we see: all dividend values between -2**53 and 2**53-1
+ can be computed directly. Note that divisor values need not be checked
+ against that range because the rounded fp value will be close enough such
+ that the quotient is < 1, which will properly be truncated to zero when we
+ convert back to integer.
+
+ When the dividend is outside the range for which we can compute exact
+ results, we use the fp quotent as an estimate from which we begin refining
+ an exact integral value. This reduces the number of iterations in the
+ shift-and-subtract loop significantly. */
+
+ .text
+ .align 4
+ .globl __divq
+ .type __divq, @function
+ .usepv __divq, no
+
+ cfi_startproc
+ cfi_return_column (RA)
+__divq:
+ lda sp, -FRAME(sp)
+ cfi_def_cfa_offset (FRAME)
+ CALL_MCOUNT
+
+ /* Get the fp divide insn issued as quickly as possible. After
+ that's done, we have at least 22 cycles until its results are
+ ready -- all the time in the world to figure out how we're
+ going to use the results. */
+ stq X, 16(sp)
+ stq Y, 24(sp)
+ beq Y, DIVBYZERO
+
+ stt $f0, 0(sp)
+ stt $f1, 8(sp)
+ cfi_rel_offset ($f0, 0)
+ cfi_rel_offset ($f1, 8)
+ ldt $f0, 16(sp)
+ ldt $f1, 24(sp)
+
+ cvtqt $f0, $f0
+ cvtqt $f1, $f1
+ divt/c $f0, $f1, $f0
+
+ /* Check to see if X fit in the double as an exact value. */
+ sll X, (64-53), AT
+ ldt $f1, 8(sp)
+ sra AT, (64-53), AT
+ cmpeq X, AT, AT
+ beq AT, $x_big
+
+ /* If we get here, we're expecting exact results from the division.
+ Do nothing else besides convert and clean up. */
+ cvttq/c $f0, $f0
+ stt $f0, 16(sp)
+
+ ldq RV, 16(sp)
+ ldt $f0, 0(sp)
+ cfi_restore ($f1)
+ cfi_remember_state
+ cfi_restore ($f0)
+ cfi_def_cfa_offset (0)
+ lda sp, FRAME(sp)
+ ret $31, (RA), 1
+
+ .align 4
+ cfi_restore_state
+$x_big:
+ /* If we get here, X is large enough that we don't expect exact
+ results, and neither X nor Y got mis-translated for the fp
+ division. Our task is to take the fp result, figure out how
+ far it's off from the correct result and compute a fixup. */
+ stq t0, 16(sp)
+ stq t1, 24(sp)
+ stq t2, 32(sp)
+ stq t5, 40(sp)
+ cfi_rel_offset (t0, 16)
+ cfi_rel_offset (t1, 24)
+ cfi_rel_offset (t2, 32)
+ cfi_rel_offset (t5, 40)
+
+#define Q RV /* quotient */
+#define R t0 /* remainder */
+#define SY t1 /* scaled Y */
+#define S t2 /* scalar */
+#define QY t3 /* Q*Y */
+
+ /* The fixup code below can only handle unsigned values. */
+ or X, Y, AT
+ mov $31, t5
+ blt AT, $fix_sign_in
+$fix_sign_in_ret1:
+ cvttq/c $f0, $f0
+
+ stt $f0, 8(sp)
+ ldq Q, 8(sp)
+$fix_sign_in_ret2:
+ mulq Q, Y, QY
+ stq t4, 8(sp)
+
+ ldt $f0, 0(sp)
+ unop
+ cfi_rel_offset (t4, 8)
+ cfi_restore ($f0)
+ stq t3, 0(sp)
+ unop
+ cfi_rel_offset (t3, 0)
+
+ subq QY, X, R
+ mov Y, SY
+ mov 1, S
+ bgt R, $q_high
+
+$q_high_ret:
+ subq X, QY, R
+ mov Y, SY
+ mov 1, S
+ bgt R, $q_low
+
+$q_low_ret:
+ ldq t0, 16(sp)
+ ldq t1, 24(sp)
+ ldq t2, 32(sp)
+ bne t5, $fix_sign_out
+
+$fix_sign_out_ret:
+ ldq t3, 0(sp)
+ ldq t4, 8(sp)
+ ldq t5, 40(sp)
+ lda sp, FRAME(sp)
+ cfi_remember_state
+ cfi_restore (t0)
+ cfi_restore (t1)
+ cfi_restore (t2)
+ cfi_restore (t3)
+ cfi_restore (t4)
+ cfi_restore (t5)
+ cfi_def_cfa_offset (0)
+ ret $31, (RA), 1
+
+ .align 4
+ cfi_restore_state
+ /* The quotient that we computed was too large. We need to reduce
+ it by S such that Y*S >= R. Obviously the closer we get to the
+ correct value the better, but overshooting high is ok, as we'll
+ fix that up later. */
+0:
+ addq SY, SY, SY
+ addq S, S, S
+$q_high:
+ cmpult SY, R, AT
+ bne AT, 0b
+
+ subq Q, S, Q
+ unop
+ subq QY, SY, QY
+ br $q_high_ret
+
+ .align 4
+ /* The quotient that we computed was too small. Divide Y by the
+ current remainder (R) and add that to the existing quotient (Q).
+ The expectation, of course, is that R is much smaller than X. */
+ /* Begin with a shift-up loop. Compute S such that Y*S >= R. We
+ already have a copy of Y in SY and the value 1 in S. */
+0:
+ addq SY, SY, SY
+ addq S, S, S
+$q_low:
+ cmpult SY, R, AT
+ bne AT, 0b
+
+ /* Shift-down and subtract loop. Each iteration compares our scaled
+ Y (SY) with the remainder (R); if SY <= R then X is divisible by
+ Y's scalar (S) so add it to the quotient (Q). */
+2: addq Q, S, t3
+ srl S, 1, S
+ cmpule SY, R, AT
+ subq R, SY, t4
+
+ cmovne AT, t3, Q
+ cmovne AT, t4, R
+ srl SY, 1, SY
+ bne S, 2b
+
+ br $q_low_ret
+
+ .align 4
+$fix_sign_in:
+ /* If we got here, then X|Y is negative. Need to adjust everything
+ such that we're doing unsigned division in the fixup loop. */
+ /* T5 records the changes we had to make:
+ bit 0: set if result should be negative.
+ bit 2: set if X was negated.
+ bit 3: set if Y was negated.
+ */
+ xor X, Y, AT
+ cmplt AT, 0, t5
+ cmplt X, 0, AT
+ negq X, t0
+
+ s4addq AT, t5, t5
+ cmovne AT, t0, X
+ cmplt Y, 0, AT
+ negq Y, t0
+
+ s8addq AT, t5, t5
+ cmovne AT, t0, Y
+ unop
+ blbc t5, $fix_sign_in_ret1
+
+ cvttq/c $f0, $f0
+ stt $f0, 8(sp)
+ ldq Q, 8(sp)
+ unop
+
+ negq Q, Q
+ br $fix_sign_in_ret2
+
+ .align 4
+$fix_sign_out:
+ /* Now we get to undo what we did above. */
+ /* ??? Is this really faster than just increasing the size of
+ the stack frame and storing X and Y in memory? */
+ and t5, 8, AT
+ negq Y, t4
+ cmovne AT, t4, Y
+
+ and t5, 4, AT
+ negq X, t4
+ cmovne AT, t4, X
+
+ negq RV, t4
+ cmovlbs t5, t4, RV
+
+ br $fix_sign_out_ret
+
+ cfi_endproc
+ .size __divq, .-__divq
+
+ DO_DIVBYZERO
diff --git a/sysdeps/alpha/divqu.S b/sysdeps/alpha/divqu.S
new file mode 100644
index 0000000000..6ff6c035e2
--- /dev/null
+++ b/sysdeps/alpha/divqu.S
@@ -0,0 +1,244 @@
+/* Copyright (C) 2004 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ 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, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "div_libc.h"
+
+
+/* 64-bit unsigned long divide. These are not normal C functions. Argument
+ registers are t10 and t11, the result goes in t12. Only t12 and AT may be
+ clobbered.
+
+ Theory of operation here is that we can use the FPU divider for virtually
+ all operands that we see: all dividend values between -2**53 and 2**53-1
+ can be computed directly. Note that divisor values need not be checked
+ against that range because the rounded fp value will be close enough such
+ that the quotient is < 1, which will properly be truncated to zero when we
+ convert back to integer.
+
+ When the dividend is outside the range for which we can compute exact
+ results, we use the fp quotent as an estimate from which we begin refining
+ an exact integral value. This reduces the number of iterations in the
+ shift-and-subtract loop significantly. */
+
+ .text
+ .align 4
+ .globl __divqu
+ .type __divqu, @function
+ .usepv __divqu, no
+
+ cfi_startproc
+ cfi_return_column (RA)
+__divqu:
+ lda sp, -FRAME(sp)
+ cfi_def_cfa_offset (FRAME)
+ CALL_MCOUNT
+
+ /* Get the fp divide insn issued as quickly as possible. After
+ that's done, we have at least 22 cycles until its results are
+ ready -- all the time in the world to figure out how we're
+ going to use the results. */
+ stq X, 16(sp)
+ stq Y, 24(sp)
+ beq Y, DIVBYZERO
+
+ stt $f0, 0(sp)
+ stt $f1, 8(sp)
+ cfi_rel_offset ($f0, 0)
+ cfi_rel_offset ($f1, 8)
+ ldt $f0, 16(sp)
+ ldt $f1, 24(sp)
+
+ cvtqt $f0, $f0
+ cvtqt $f1, $f1
+ blt X, $x_is_neg
+ divt/c $f0, $f1, $f0
+
+ /* Check to see if Y was mis-converted as signed value. */
+ ldt $f1, 8(sp)
+ unop
+ nop
+ blt Y, $y_is_neg
+
+ /* Check to see if X fit in the double as an exact value. */
+ srl X, 53, AT
+ bne AT, $x_big
+
+ /* If we get here, we're expecting exact results from the division.
+ Do nothing else besides convert and clean up. */
+ cvttq/c $f0, $f0
+ stt $f0, 16(sp)
+
+ ldq RV, 16(sp)
+ ldt $f0, 0(sp)
+ cfi_remember_state
+ cfi_restore ($f0)
+ cfi_restore ($f1)
+ cfi_def_cfa_offset (0)
+ lda sp, FRAME(sp)
+ ret $31, (RA), 1
+
+ .align 4
+ cfi_restore_state
+$x_is_neg:
+ /* If we get here, X is so big that bit 63 is set, which made the
+ conversion come out negative. Fix it up lest we not even get
+ a good estimate. */
+ ldah AT, 0x5f80 /* 2**64 as float. */
+ stt $f2, 24(sp)
+ cfi_rel_offset ($f2, 24)
+ stl AT, 16(sp)
+ lds $f2, 16(sp)
+
+ addt $f0, $f2, $f0
+ unop
+ divt/c $f0, $f1, $f0
+ unop
+
+ /* Ok, we've now the divide issued. Continue with other checks. */
+ ldt $f1, 8(sp)
+ unop
+ ldt $f2, 24(sp)
+ blt Y, $y_is_neg
+ cfi_restore ($f1)
+ cfi_restore ($f2)
+ cfi_remember_state /* for y_is_neg */
+
+ .align 4
+$x_big:
+ /* If we get here, X is large enough that we don't expect exact
+ results, and neither X nor Y got mis-translated for the fp
+ division. Our task is to take the fp result, figure out how
+ far it's off from the correct result and compute a fixup. */
+ stq t0, 16(sp)
+ stq t1, 24(sp)
+ stq t2, 32(sp)
+ stq t3, 40(sp)
+ cfi_rel_offset (t0, 16)
+ cfi_rel_offset (t1, 24)
+ cfi_rel_offset (t2, 32)
+ cfi_rel_offset (t3, 40)
+
+#define Q RV /* quotient */
+#define R t0 /* remainder */
+#define SY t1 /* scaled Y */
+#define S t2 /* scalar */
+#define QY t3 /* Q*Y */
+
+ cvttq/c $f0, $f0
+ stt $f0, 8(sp)
+ ldq Q, 8(sp)
+ mulq Q, Y, QY
+
+ stq t4, 8(sp)
+ unop
+ ldt $f0, 0(sp)
+ unop
+ cfi_rel_offset (t4, 8)
+ cfi_restore ($f0)
+
+ subq QY, X, R
+ mov Y, SY
+ mov 1, S
+ bgt R, $q_high
+
+$q_high_ret:
+ subq X, QY, R
+ mov Y, SY
+ mov 1, S
+ bgt R, $q_low
+
+$q_low_ret:
+ ldq t4, 8(sp)
+ ldq t0, 16(sp)
+ ldq t1, 24(sp)
+ ldq t2, 32(sp)
+
+ ldq t3, 40(sp)
+ lda sp, FRAME(sp)
+ cfi_remember_state
+ cfi_restore (t0)
+ cfi_restore (t1)
+ cfi_restore (t2)
+ cfi_restore (t3)
+ cfi_restore (t4)
+ cfi_def_cfa_offset (0)
+ ret $31, (RA), 1
+
+ .align 4
+ cfi_restore_state
+ /* The quotient that we computed was too large. We need to reduce
+ it by S such that Y*S >= R. Obviously the closer we get to the
+ correct value the better, but overshooting high is ok, as we'll
+ fix that up later. */
+0:
+ addq SY, SY, SY
+ addq S, S, S
+$q_high:
+ cmpult SY, R, AT
+ bne AT, 0b
+
+ subq Q, S, Q
+ unop
+ subq QY, SY, QY
+ br $q_high_ret
+
+ .align 4
+ /* The quotient that we computed was too small. Divide Y by the
+ current remainder (R) and add that to the existing quotient (Q).
+ The expectation, of course, is that R is much smaller than X. */
+ /* Begin with a shift-up loop. Compute S such that Y*S >= R. We
+ already have a copy of Y in SY and the value 1 in S. */
+0:
+ addq SY, SY, SY
+ addq S, S, S
+$q_low:
+ cmpult SY, R, AT
+ bne AT, 0b
+
+ /* Shift-down and subtract loop. Each iteration compares our scaled
+ Y (SY) with the remainder (R); if SY <= R then X is divisible by
+ Y's scalar (S) so add it to the quotient (Q). */
+2: addq Q, S, t3
+ srl S, 1, S
+ cmpule SY, R, AT
+ subq R, SY, t4
+
+ cmovne AT, t3, Q
+ cmovne AT, t4, R
+ srl SY, 1, SY
+ bne S, 2b
+
+ br $q_low_ret
+
+ .align 4
+ cfi_restore_state
+$y_is_neg:
+ /* If we get here, Y is so big that bit 63 is set. The results
+ from the divide will be completely wrong. Fortunately, the
+ quotient must be either 0 or 1, so just compute it directly. */
+ cmpult Y, X, RV
+ ldt $f0, 0(sp)
+ lda sp, FRAME(sp)
+ cfi_restore ($f0)
+ cfi_def_cfa_offset (0)
+ ret $31, (RA), 1
+
+ cfi_endproc
+ .size __divqu, .-__divqu
+
+ DO_DIVBYZERO
diff --git a/sysdeps/alpha/divrem.h b/sysdeps/alpha/divrem.h
deleted file mode 100644
index 032308de32..0000000000
--- a/sysdeps/alpha/divrem.h
+++ /dev/null
@@ -1,225 +0,0 @@
-/* Copyright (C) 1996,97,2002 Free Software Foundation, Inc.
- Contributed by David Mosberger (davidm@cs.arizona.edu).
- This file is part of the GNU C Library.
-
- 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, write to the Free
- Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
- 02111-1307 USA. */
-
-/* The current Alpha chips don't provide hardware for integer
- division. The C compiler expects the functions
-
- __divqu: 64-bit unsigned long divide
- __remqu: 64-bit unsigned long remainder
- __divqs/__remqs: signed 64-bit
- __divlu/__remlu: unsigned 32-bit
- __divls/__remls: signed 32-bit
-
- These are not normal C functions: instead of the normal calling
- sequence, these expect their arguments in registers t10 and t11, and
- return the result in t12 (aka pv). Register AT may be clobbered
- (assembly temporary), anything else must be saved. */
-
-#include <sysdep.h>
-
-#ifdef __linux__
-# include <asm/gentrap.h>
-# include <asm/pal.h>
-#else
-# include <machine/pal.h>
-#endif
-
-#define mask v0
-#define divisor t0
-#define compare AT
-#define tmp1 t2
-#define tmp2 t3
-#define retaddr t9
-#define arg1 t10
-#define arg2 t11
-#define result t12
-
-#if IS_REM
-# define DIV_ONLY(x,y...)
-# define REM_ONLY(x,y...) x,##y
-# define modulus result
-# define quotient t1
-# define GETSIGN(x) mov arg1, x
-# define STACK 32
-#else
-# define DIV_ONLY(x,y...) x,##y
-# define REM_ONLY(x,y...)
-# define modulus t1
-# define quotient result
-# define GETSIGN(x) xor arg1, arg2, x
-# define STACK 48
-#endif
-
-#if SIZE == 8
-# define LONGIFY(x,y) mov x,y
-# define SLONGIFY(x,y) mov x,y
-# define _SLONGIFY(x)
-# define NEG(x,y) negq x,y
-#else
-# define LONGIFY(x,y) zapnot x,15,y
-# define SLONGIFY(x,y) sextl x,y
-# define _SLONGIFY(x) sextl x,x
-# define NEG(x,y) negl x,y
-#endif
-
- .set noreorder
- .set noat
-
- .ent UFUNC_NAME
- .globl UFUNC_NAME
-
- .align 3
-UFUNC_NAME:
-$udiv_entry:
- lda sp, -STACK(sp)
- .frame sp, STACK, retaddr, 0
-#ifdef PROF
- stq ra, 0(sp)
- stq pv, 8(sp)
- stq gp, 16(sp)
-
- br AT, 1f
-1: ldgp gp, 0(AT)
-
- mov retaddr, ra
- lda AT, _mcount
- jsr AT, (AT), _mcount
-
- ldq ra, 0(sp)
- ldq pv, 8(sp)
- ldq gp, 16(sp)
-#endif
- .prologue 0
-
-$udiv:
- stq t0, 0(sp)
- LONGIFY (arg2, divisor)
- stq t1, 8(sp)
- LONGIFY (arg1, modulus)
- stq v0, 16(sp)
- clr quotient
- stq tmp1, 24(sp)
- ldiq mask, 1
- DIV_ONLY(stq tmp2,32(sp))
-
- beq divisor, $divbyzero
-
- .align 3
-#if SIZE == 8
- /* Shift divisor left. */
-1: cmpult divisor, modulus, compare
- blt divisor, 2f
- addq divisor, divisor, divisor
- addq mask, mask, mask
- bne compare, 1b
- unop
-2:
-#else
- /* Shift divisor left using 3-bit shifts as we can't overflow.
- This results in looping three times less here, but up to
- two more times later. Thus using a large shift isn't worth it. */
-1: cmpult divisor, modulus, compare
- s8addq divisor, zero, divisor
- s8addq mask, zero, mask
- bne compare, 1b
-#endif
-
- /* Now go back to the right. */
-3: DIV_ONLY(addq quotient, mask, tmp2)
- srl mask, 1, mask
- cmpule divisor, modulus, compare
- subq modulus, divisor, tmp1
- DIV_ONLY(cmovne compare, tmp2, quotient)
- srl divisor, 1, divisor
- cmovne compare, tmp1, modulus
- bne mask, 3b
-
-$done: ldq t0, 0(sp)
- ldq t1, 8(sp)
- ldq v0, 16(sp)
- ldq tmp1, 24(sp)
- DIV_ONLY(ldq tmp2, 32(sp))
- lda sp, STACK(sp)
- ret zero, (retaddr), 1
-
-$divbyzero:
- mov a0, tmp1
- ldiq a0, GEN_INTDIV
- call_pal PAL_gentrap
- mov tmp1, a0
- clr result /* If trap returns, return zero. */
- br $done
-
- .end UFUNC_NAME
-
- .ent SFUNC_NAME
- .globl SFUNC_NAME
-
- .align 3
-SFUNC_NAME:
- lda sp, -STACK(sp)
- .frame sp, STACK, retaddr, 0
-#ifdef PROF
- stq ra, 0(sp)
- stq pv, 8(sp)
- stq gp, 16(sp)
-
- br AT, 1f
-1: ldgp gp, 0(AT)
-
- mov retaddr, ra
- jsr AT, _mcount
-
- ldq ra, 0(sp)
- ldq pv, 8(sp)
- ldq gp, 16(sp)
-#endif
- .prologue 0
-
- or arg1, arg2, AT
- _SLONGIFY(AT)
- bge AT, $udiv /* don't need to mess with signs */
-
- /* Save originals and find absolute values. */
- stq arg1, 0(sp)
- NEG (arg1, AT)
- stq arg2, 8(sp)
- cmovge AT, AT, arg1
- stq retaddr, 16(sp)
- NEG (arg2, AT)
- stq tmp1, 24(sp)
- cmovge AT, AT, arg2
-
- /* Do the unsigned division. */
- bsr retaddr, $udiv_entry
-
- /* Restore originals and adjust the sign of the result. */
- ldq arg1, 0(sp)
- ldq arg2, 8(sp)
- GETSIGN (AT)
- NEG (result, tmp1)
- _SLONGIFY(AT)
- ldq retaddr, 16(sp)
- cmovlt AT, tmp1, result
- ldq tmp1, 24(sp)
-
- lda sp, STACK(sp)
- ret zero, (retaddr), 1
-
- .end SFUNC_NAME
diff --git a/sysdeps/alpha/reml.S b/sysdeps/alpha/reml.S
index 8c00365ee3..c4eb426c5a 100644
--- a/sysdeps/alpha/reml.S
+++ b/sysdeps/alpha/reml.S
@@ -1,6 +1,80 @@
-#define IS_REM 1
-#define SIZE 4
-#define UFUNC_NAME __remlu
-#define SFUNC_NAME __reml
+/* Copyright (C) 2004 Free Software Foundation, Inc.
+ Contributed by Richard Henderson <rth@twiddle.net>
+ This file is part of the GNU C Library.
-#include "divrem.h"
+ 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, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "div_libc.h"
+
+/* 32-bit signed int remainder. This is not a normal C function. Argument
+ registers are t10 and t11, the result goes in t12. Only t12 and AT may
+ be clobbered.
+
+ The FPU can handle the division for all input values except zero.
+ All we have to do is compute the remainder via multiply-and-subtract. */
+
+#ifndef EXTEND
+#define EXTEND(S,D) sextl S, D
+#endif
+
+ .text
+ .align 4
+ .globl __reml
+ .type __reml, @function
+ .usepv __reml, no
+
+ cfi_startproc
+ cfi_return_column (RA)
+__reml:
+ lda sp, -FRAME(sp)
+ cfi_def_cfa_offset (FRAME)
+ CALL_MCOUNT
+ stt $f0, 0(sp)
+ stt $f1, 8(sp)
+ beq Y, DIVBYZERO
+ cfi_rel_offset ($f0, 0)
+ cfi_rel_offset ($f1, 8)
+
+ EXTEND (X, RV)
+ EXTEND (Y, AT)
+ stq RV, 16(sp)
+ stq AT, 24(sp)
+
+ ldt $f0, 16(sp)
+ ldt $f1, 24(sp)
+ cvtqt $f0, $f0
+ cvtqt $f1, $f1
+
+ divt/c $f0, $f1, $f0
+ cvttq/c $f0, $f0
+ stt $f0, 16(sp)
+ ldq RV, 16(sp)
+
+ ldt $f0, 0(sp)
+ mull RV, Y, RV
+ ldt $f1, 8(sp)
+ lda sp, FRAME(sp)
+ cfi_restore ($f0)
+ cfi_restore ($f1)
+ cfi_def_cfa_offset (0)
+
+ subl X, RV, RV
+ ret $31, (RA), 1
+
+ cfi_endproc
+ .size __reml, .-__reml
+
+ DO_DIVBYZERO
diff --git a/sysdeps/alpha/remlu.S b/sysdeps/alpha/remlu.S
new file mode 100644
index 0000000000..f8691e19a4
--- /dev/null
+++ b/sysdeps/alpha/remlu.S
@@ -0,0 +1,4 @@
+#define UNSIGNED
+#define EXTEND(S,D) zapnot S, 15, D
+#define __reml __remlu
+#include <reml.S>
diff --git a/sysdeps/alpha/remq.S b/sysdeps/alpha/remq.S
index cd1064af4e..ce527d1055 100644
--- a/sysdeps/alpha/remq.S
+++ b/sysdeps/alpha/remq.S
@@ -1,6 +1,261 @@
-#define IS_REM 1
-#define SIZE 8
-#define UFUNC_NAME __remqu
-#define SFUNC_NAME __remq
+/* Copyright (C) 2004 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
-#include "divrem.h"
+ 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, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "div_libc.h"
+
+
+/* 64-bit signed long remainder. These are not normal C functions. Argument
+ registers are t10 and t11, the result goes in t12. Only t12 and AT may
+ be clobbered.
+
+ Theory of operation here is that we can use the FPU divider for virtually
+ all operands that we see: all dividend values between -2**53 and 2**53-1
+ can be computed directly. Note that divisor values need not be checked
+ against that range because the rounded fp value will be close enough such
+ that the quotient is < 1, which will properly be truncated to zero when we
+ convert back to integer.
+
+ When the dividend is outside the range for which we can compute exact
+ results, we use the fp quotent as an estimate from which we begin refining
+ an exact integral value. This reduces the number of iterations in the
+ shift-and-subtract loop significantly. */
+
+ .text
+ .align 4
+ .globl __remq
+ .type __remq, @function
+ .usepv __remq, no
+
+ cfi_startproc
+ cfi_return_column (RA)
+__remq:
+ lda sp, -FRAME(sp)
+ cfi_def_cfa_offset (FRAME)
+ CALL_MCOUNT
+
+ /* Get the fp divide insn issued as quickly as possible. After
+ that's done, we have at least 22 cycles until its results are
+ ready -- all the time in the world to figure out how we're
+ going to use the results. */
+ stq X, 16(sp)
+ stq Y, 24(sp)
+ beq Y, DIVBYZERO
+
+ stt $f0, 0(sp)
+ stt $f1, 8(sp)
+ cfi_rel_offset ($f0, 0)
+ cfi_rel_offset ($f1, 8)
+ ldt $f0, 16(sp)
+ ldt $f1, 24(sp)
+
+ cvtqt $f0, $f0
+ cvtqt $f1, $f1
+ divt/c $f0, $f1, $f0
+
+ /* Check to see if X fit in the double as an exact value. */
+ sll X, (64-53), AT
+ ldt $f1, 8(sp)
+ sra AT, (64-53), AT
+ cmpeq X, AT, AT
+ beq AT, $x_big
+
+ /* If we get here, we're expecting exact results from the division.
+ Do nothing else besides convert, compute remainder, clean up. */
+ cvttq/c $f0, $f0
+ stt $f0, 16(sp)
+
+ ldq AT, 16(sp)
+ mulq AT, Y, AT
+ ldt $f0, 0(sp)
+ cfi_restore ($f1)
+ cfi_remember_state
+ cfi_restore ($f0)
+ cfi_def_cfa_offset (0)
+ lda sp, FRAME(sp)
+
+ subq X, AT, RV
+ ret $31, (RA), 1
+
+ .align 4
+ cfi_restore_state
+$x_big:
+ /* If we get here, X is large enough that we don't expect exact
+ results, and neither X nor Y got mis-translated for the fp
+ division. Our task is to take the fp result, figure out how
+ far it's off from the correct result and compute a fixup. */
+ stq t0, 16(sp)
+ stq t1, 24(sp)
+ stq t2, 32(sp)
+ stq t5, 40(sp)
+ cfi_rel_offset (t0, 16)
+ cfi_rel_offset (t1, 24)
+ cfi_rel_offset (t2, 32)
+ cfi_rel_offset (t5, 40)
+
+#define Q t0 /* quotient */
+#define R RV /* remainder */
+#define SY t1 /* scaled Y */
+#define S t2 /* scalar */
+#define QY t3 /* Q*Y */
+
+ /* The fixup code below can only handle unsigned values. */
+ or X, Y, AT
+ mov $31, t5
+ blt AT, $fix_sign_in
+$fix_sign_in_ret1:
+ cvttq/c $f0, $f0
+
+ stt $f0, 8(sp)
+ ldq Q, 8(sp)
+$fix_sign_in_ret2:
+ mulq Q, Y, QY
+ stq t4, 8(sp)
+
+ ldt $f0, 0(sp)
+ unop
+ cfi_rel_offset (t4, 8)
+ cfi_restore ($f0)
+ stq t3, 0(sp)
+ unop
+ cfi_rel_offset (t3, 0)
+
+ subq QY, X, R
+ mov Y, SY
+ mov 1, S
+ bgt R, $q_high
+
+$q_high_ret:
+ subq X, QY, R
+ mov Y, SY
+ mov 1, S
+ bgt R, $q_low
+
+$q_low_ret:
+ ldq t0, 16(sp)
+ ldq t1, 24(sp)
+ ldq t2, 32(sp)
+ bne t5, $fix_sign_out
+
+$fix_sign_out_ret:
+ ldq t3, 0(sp)
+ ldq t4, 8(sp)
+ ldq t5, 40(sp)
+ lda sp, FRAME(sp)
+ cfi_remember_state
+ cfi_restore (t0)
+ cfi_restore (t1)
+ cfi_restore (t2)
+ cfi_restore (t3)
+ cfi_restore (t4)
+ cfi_restore (t5)
+ cfi_def_cfa_offset (0)
+ ret $31, (RA), 1
+
+ .align 4
+ cfi_restore_state
+ /* The quotient that we computed was too large. We need to reduce
+ it by S such that Y*S >= R. Obviously the closer we get to the
+ correct value the better, but overshooting high is ok, as we'll
+ fix that up later. */
+0:
+ addq SY, SY, SY
+ addq S, S, S
+$q_high:
+ cmpult SY, R, AT
+ bne AT, 0b
+
+ subq Q, S, Q
+ unop
+ subq QY, SY, QY
+ br $q_high_ret
+
+ .align 4
+ /* The quotient that we computed was too small. Divide Y by the
+ current remainder (R) and add that to the existing quotient (Q).
+ The expectation, of course, is that R is much smaller than X. */
+ /* Begin with a shift-up loop. Compute S such that Y*S >= R. We
+ already have a copy of Y in SY and the value 1 in S. */
+0:
+ addq SY, SY, SY
+ addq S, S, S
+$q_low:
+ cmpult SY, R, AT
+ bne AT, 0b
+
+ /* Shift-down and subtract loop. Each iteration compares our scaled
+ Y (SY) with the remainder (R); if SY <= R then X is divisible by
+ Y's scalar (S) so add it to the quotient (Q). */
+2: addq Q, S, t3
+ srl S, 1, S
+ cmpule SY, R, AT
+ subq R, SY, t4
+
+ cmovne AT, t3, Q
+ cmovne AT, t4, R
+ srl SY, 1, SY
+ bne S, 2b
+
+ br $q_low_ret
+
+ .align 4
+$fix_sign_in:
+ /* If we got here, then X|Y is negative. Need to adjust everything
+ such that we're doing unsigned division in the fixup loop. */
+ /* T5 records the changes we had to make:
+ bit 0: set if X was negated. Note that the sign of the
+ remainder follows the sign of the divisor.
+ bit 2: set if Y was negated.
+ */
+ xor X, Y, t1
+ cmplt X, 0, t5
+ negq X, t0
+ cmovne t5, t0, X
+
+ cmplt Y, 0, AT
+ negq Y, t0
+ s4addq AT, t5, t5
+ cmovne AT, t0, Y
+
+ bge t1, $fix_sign_in_ret1
+ cvttq/c $f0, $f0
+ stt $f0, 8(sp)
+ ldq Q, 8(sp)
+
+ negq Q, Q
+ br $fix_sign_in_ret2
+
+ .align 4
+$fix_sign_out:
+ /* Now we get to undo what we did above. */
+ /* ??? Is this really faster than just increasing the size of
+ the stack frame and storing X and Y in memory? */
+ and t5, 4, AT
+ negq Y, t4
+ cmovne AT, t4, Y
+
+ negq X, t4
+ cmovlbs t5, t4, X
+ negq RV, t4
+ cmovlbs t5, t4, RV
+
+ br $fix_sign_out_ret
+
+ cfi_endproc
+ .size __remq, .-__remq
+
+ DO_DIVBYZERO
diff --git a/sysdeps/alpha/remqu.S b/sysdeps/alpha/remqu.S
new file mode 100644
index 0000000000..1a1dcad8a0
--- /dev/null
+++ b/sysdeps/alpha/remqu.S
@@ -0,0 +1,251 @@
+/* Copyright (C) 2004 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ 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, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "div_libc.h"
+
+
+/* 64-bit unsigned long remainder. These are not normal C functions. Argument
+ registers are t10 and t11, the result goes in t12. Only t12 and AT may be
+ clobbered.
+
+ Theory of operation here is that we can use the FPU divider for virtually
+ all operands that we see: all dividend values between -2**53 and 2**53-1
+ can be computed directly. Note that divisor values need not be checked
+ against that range because the rounded fp value will be close enough such
+ that the quotient is < 1, which will properly be truncated to zero when we
+ convert back to integer.
+
+ When the dividend is outside the range for which we can compute exact
+ results, we use the fp quotent as an estimate from which we begin refining
+ an exact integral value. This reduces the number of iterations in the
+ shift-and-subtract loop significantly. */
+
+ .text
+ .align 4
+ .globl __remqu
+ .type __remqu, @function
+ .usepv __remqu, no
+
+ cfi_startproc
+ cfi_return_column (RA)
+__remqu:
+ lda sp, -FRAME(sp)
+ cfi_def_cfa_offset (FRAME)
+ CALL_MCOUNT
+
+ /* Get the fp divide insn issued as quickly as possible. After
+ that's done, we have at least 22 cycles until its results are
+ ready -- all the time in the world to figure out how we're
+ going to use the results. */
+ stq X, 16(sp)
+ stq Y, 24(sp)
+ beq Y, DIVBYZERO
+
+ stt $f0, 0(sp)
+ stt $f1, 8(sp)
+ cfi_rel_offset ($f0, 0)
+ cfi_rel_offset ($f1, 8)
+ ldt $f0, 16(sp)
+ ldt $f1, 24(sp)
+
+ cvtqt $f0, $f0
+ cvtqt $f1, $f1
+ blt X, $x_is_neg
+ divt/c $f0, $f1, $f0
+
+ /* Check to see if Y was mis-converted as signed value. */
+ ldt $f1, 8(sp)
+ unop
+ nop
+ blt Y, $y_is_neg
+
+ /* Check to see if X fit in the double as an exact value. */
+ srl X, 53, AT
+ bne AT, $x_big
+
+ /* If we get here, we're expecting exact results from the division.
+ Do nothing else besides convert, compute remainder, clean up. */
+ cvttq/c $f0, $f0
+ stt $f0, 16(sp)
+
+ ldq AT, 16(sp)
+ mulq AT, Y, AT
+ ldt $f0, 0(sp)
+ lda sp, FRAME(sp)
+ cfi_remember_state
+ cfi_restore ($f0)
+ cfi_restore ($f1)
+ cfi_def_cfa_offset (0)
+
+ subq X, AT, RV
+ ret $31, (RA), 1
+
+ .align 4
+ cfi_restore_state
+$x_is_neg:
+ /* If we get here, X is so big that bit 63 is set, which made the
+ conversion come out negative. Fix it up lest we not even get
+ a good estimate. */
+ ldah AT, 0x5f80 /* 2**64 as float. */
+ stt $f2, 24(sp)
+ cfi_rel_offset ($f2, 24)
+ stl AT, 16(sp)
+ lds $f2, 16(sp)
+
+ addt $f0, $f2, $f0
+ unop
+ divt/c $f0, $f1, $f0
+ unop
+
+ /* Ok, we've now the divide issued. Continue with other checks. */
+ ldt $f1, 8(sp)
+ unop
+ ldt $f2, 24(sp)
+ blt Y, $y_is_neg
+ cfi_restore ($f1)
+ cfi_restore ($f2)
+ cfi_remember_state /* for y_is_neg */
+
+ .align 4
+$x_big:
+ /* If we get here, X is large enough that we don't expect exact
+ results, and neither X nor Y got mis-translated for the fp
+ division. Our task is to take the fp result, figure out how
+ far it's off from the correct result and compute a fixup. */
+ stq t0, 16(sp)
+ stq t1, 24(sp)
+ stq t2, 32(sp)
+ stq t3, 40(sp)
+ cfi_rel_offset (t0, 16)
+ cfi_rel_offset (t1, 24)
+ cfi_rel_offset (t2, 32)
+ cfi_rel_offset (t3, 40)
+
+#define Q t0 /* quotient */
+#define R RV /* remainder */
+#define SY t1 /* scaled Y */
+#define S t2 /* scalar */
+#define QY t3 /* Q*Y */
+
+ cvttq/c $f0, $f0
+ stt $f0, 8(sp)
+ ldq Q, 8(sp)
+ mulq Q, Y, QY
+
+ stq t4, 8(sp)
+ unop
+ ldt $f0, 0(sp)
+ unop
+ cfi_rel_offset (t4, 8)
+ cfi_restore ($f0)
+
+ subq QY, X, R
+ mov Y, SY
+ mov 1, S
+ bgt R, $q_high
+
+$q_high_ret:
+ subq X, QY, R
+ mov Y, SY
+ mov 1, S
+ bgt R, $q_low
+
+$q_low_ret:
+ ldq t4, 8(sp)
+ ldq t0, 16(sp)
+ ldq t1, 24(sp)
+ ldq t2, 32(sp)
+
+ ldq t3, 40(sp)
+ lda sp, FRAME(sp)
+ cfi_remember_state
+ cfi_restore (t0)
+ cfi_restore (t1)
+ cfi_restore (t2)
+ cfi_restore (t3)
+ cfi_restore (t4)
+ cfi_def_cfa_offset (0)
+ ret $31, (RA), 1
+
+ .align 4
+ cfi_restore_state
+ /* The quotient that we computed was too large. We need to reduce
+ it by S such that Y*S >= R. Obviously the closer we get to the
+ correct value the better, but overshooting high is ok, as we'll
+ fix that up later. */
+0:
+ addq SY, SY, SY
+ addq S, S, S
+$q_high:
+ cmpult SY, R, AT
+ bne AT, 0b
+
+ subq Q, S, Q
+ unop
+ subq QY, SY, QY
+ br $q_high_ret
+
+ .align 4
+ /* The quotient that we computed was too small. Divide Y by the
+ current remainder (R) and add that to the existing quotient (Q).
+ The expectation, of course, is that R is much smaller than X. */
+ /* Begin with a shift-up loop. Compute S such that Y*S >= R. We
+ already have a copy of Y in SY and the value 1 in S. */
+0:
+ addq SY, SY, SY
+ addq S, S, S
+$q_low:
+ cmpult SY, R, AT
+ bne AT, 0b
+
+ /* Shift-down and subtract loop. Each iteration compares our scaled
+ Y (SY) with the remainder (R); if SY <= R then X is divisible by
+ Y's scalar (S) so add it to the quotient (Q). */
+2: addq Q, S, t3
+ srl S, 1, S
+ cmpule SY, R, AT
+ subq R, SY, t4
+
+ cmovne AT, t3, Q
+ cmovne AT, t4, R
+ srl SY, 1, SY
+ bne S, 2b
+
+ br $q_low_ret
+
+ .align 4
+ cfi_restore_state
+$y_is_neg:
+ /* If we get here, Y is so big that bit 63 is set. The results
+ from the divide will be completely wrong. Fortunately, the
+ quotient must be either 0 or 1, so the remainder must be X
+ or X-Y, so just compute it directly. */
+ cmpult Y, X, AT
+ subq X, Y, RV
+ ldt $f0, 0(sp)
+ cmoveq AT, X, RV
+
+ lda sp, FRAME(sp)
+ cfi_restore ($f0)
+ cfi_def_cfa_offset (0)
+ ret $31, (RA), 1
+
+ cfi_endproc
+ .size __remqu, .-__remqu
+
+ DO_DIVBYZERO