# Flattened Device Trees (FDT)
GROUPS["fdt"] = [ "arm64_efi", "arm_uboot", "arm_efi" ]
+# Needs software helpers for division
+# Must match GRUB_DIVISION_IN_SOFTWARE in misc.h
+GROUPS["softdiv"] = GROUPS["arm"] + ["ia64_efi"]
+GROUPS["no_softdiv"] = GRUB_PLATFORMS[:]
+for i in GROUPS["softdiv"]: GROUPS["no_softdiv"].remove(i)
+
# Miscelaneous groups schedulded to disappear in future
GROUPS["i386_coreboot_multiboot_qemu"] = ["i386_coreboot", "i386_multiboot", "i386_qemu"]
GROUPS["nopc"] = GRUB_PLATFORMS[:]; GROUPS["nopc"].remove("i386_pc")
terminfoinkernel = commands/extcmd.c;
terminfoinkernel = lib/arg.c;
+ softdiv = lib/division.c;
+
i386 = kern/i386/dl.c;
i386_xen = kern/i386/dl.c;
enable = xen;
};
+module = {
+ name = div;
+ common = lib/division.c;
+ enable = no_softdiv;
+};
+
module = {
name = div_test;
common = tests/div_test.c;
ldmfd sp!, {r4, fp}
bx lr
- .macro division parent
+ .macro division32 parent
sub sp, sp, #8 @ Allocate naturally aligned 64-bit space
stmfd sp!, {r3,lr} @ Dummy r3 to maintain stack alignment
- add r3, sp, #8 @ Set r3 to address of 64-bit space
- str r3, [sp] @ Stack parameter, pointer to 64-bit space
- mov r2, r1
- mov r1, #0
- mov r3, #0
+ add r2, sp, #8 @ Set r2 to address of 64-bit space
bl \parent
ldr r1, [sp, #8] @ Extract remainder
ldmfd sp!, {r3,lr} @ Pop into an unused arg/scratch register
.endm
FUNCTION(__aeabi_uidivmod)
- division grub_divmod64
-
+ division32 grub_divmod32
+FUNCTION(__aeabi_idivmod)
+ division32 grub_divmod32s
/*
* Null divide-by-zero handler
grub_uint64_t m = 0;
/* ARM and IA64 don't have a fast 32-bit division.
- Using that code would just make us use libgcc routines, calling
- them twice (once for modulo and once for quotient.
+ Using that code would just make us use software division routines, calling
+ ourselves indirectly and hence getting infinite recursion.
*/
-#if !defined (__arm__) && !defined (__ia64__)
+#if !GRUB_DIVISION_IN_SOFTWARE
/* Skip the slow computation if 32-bit arithmetic is possible. */
if (n < 0xffffffff && d < 0xffffffff)
{
#if !defined (GRUB_UTIL) && !defined (GRUB_MACHINE_EMU)
-#if defined (__arm__)
+#if GRUB_DIVISION_IN_SOFTWARE
grub_uint32_t
__udivsi3 (grub_uint32_t a, grub_uint32_t b)
return grub_divmod64 (a, b, 0);
}
+grub_int32_t
+__divsi3 (grub_int32_t a, grub_int32_t b)
+{
+ return grub_divmod64s (a, b, 0);
+}
+
grub_uint32_t
__umodsi3 (grub_uint32_t a, grub_uint32_t b)
{
return ret;
}
+grub_int32_t
+__modsi3 (grub_int32_t a, grub_int32_t b)
+{
+ grub_int64_t ret;
+ grub_divmod64s (a, b, &ret);
+ return ret;
+}
+
+grub_uint64_t
+__udivdi3 (grub_uint64_t a, grub_uint64_t b)
+{
+ return grub_divmod64 (a, b, 0);
+}
+
+grub_uint64_t
+__umoddi3 (grub_uint64_t a, grub_uint64_t b)
+{
+ grub_uint64_t ret;
+ grub_divmod64 (a, b, &ret);
+ return ret;
+}
+
+grub_int64_t
+__divdi3 (grub_int64_t a, grub_int64_t b)
+{
+ return grub_divmod64s (a, b, 0);
+}
+
+grub_int64_t
+__moddi3 (grub_int64_t a, grub_int64_t b)
+{
+ grub_int64_t ret;
+ grub_divmod64s (a, b, &ret);
+ return ret;
+}
+
#endif
#ifdef NEED_CTZDI2
grub_uint32_t
__aeabi_uidiv (grub_uint32_t a, grub_uint32_t b)
__attribute__ ((alias ("__udivsi3")));
+grub_int32_t
+__aeabi_idiv (grub_int32_t a, grub_int32_t b)
+ __attribute__ ((alias ("__divsi3")));
void *__aeabi_memcpy (void *dest, const void *src, grub_size_t n)
__attribute__ ((alias ("grub_memcpy")));
void *__aeabi_memset (void *s, int c, grub_size_t n)
__attribute__ ((alias ("grub_memset")));
#endif
-#if defined (__ia64__)
-
-grub_uint64_t
-__udivdi3 (grub_uint64_t a, grub_uint64_t b)
-{
- return grub_divmod64 (a, b, 0);
-}
-
-grub_uint64_t
-__umoddi3 (grub_uint64_t a, grub_uint64_t b)
-{
- grub_uint64_t ret;
- grub_divmod64 (a, b, &ret);
- return ret;
-}
-
-#endif
-
#endif /* GRUB_UTIL */
/* Convert a long long value to a string. This function avoids 64-bit
#endif
}
+static grub_int64_t
+abs64(grub_int64_t a)
+{
+ return a > 0 ? a : -a;
+}
+
+static void
+test32s (grub_int32_t a, grub_int32_t b)
+{
+ grub_int64_t q, r;
+ if (b == 0)
+ return;
+
+ q = grub_divmod64s (a, b, &r);
+ grub_test_assert (a > 0 ? r >= 0 : r <= 0, "remainder sign mismatch: %lld %% %lld = %lld",
+ (long long) a, (long long) b, (long long) r);
+ grub_test_assert (((a > 0) == (b > 0)) ? q >= 0 : q <= 0, "quotient sign mismatch: %lld / %lld = %lld",
+ (long long) a, (long long) b, (long long) q);
+ grub_test_assert (abs64(r) < abs64(b), "remainder is larger than dividend: %lld %% %lld = %lld",
+ (long long) a, (long long) b, (long long) r);
+ grub_test_assert (q * b + r == a, "division doesn't satisfy base property: %lld * %lld + %lld != %lld", (long long) q, (long long) b, (long long) r,
+ (long long) a);
+ if (0) { grub_test_assert (q == (a / b),
+ "C compiler division failure in 0x%llx, 0x%llx", (long long) a, (long long) b);
+ grub_test_assert (r == (a % b),
+ "C compiler modulo failure in 0x%llx, 0x%llx", (long long) a, (long long) b);
+ }
+}
+
+static void
+test64s (grub_int64_t a, grub_int64_t b)
+{
+ grub_int64_t q, r;
+ q = grub_divmod64s (a, b, &r);
+
+ grub_test_assert (a > 0 ? r >= 0 : r <= 0, "remainder sign mismatch: %lld %% %lld = %lld",
+ (long long) a, (long long) b, (long long) r);
+ grub_test_assert (((a > 0) == (b > 0)) ? q >= 0 : q <= 0, "quotient sign mismatch: %lld / %lld = %lld",
+ (long long) a, (long long) b, (long long) q);
+ grub_test_assert (abs64(r) < abs64(b), "remainder is larger than dividend: %lld %% %lld = %lld",
+ (long long) a, (long long) b, (long long) r);
+ grub_test_assert (q * b + r == a, "division doesn't satisfy base property: 0x%llx * 0x%llx + 0x%llx != 0x%llx", (long long) q, (long long) b, (long long) r,
+ (long long) a);
+#if GRUB_TARGET_SIZEOF_VOID_P == 8
+ grub_test_assert (q == (a / b),
+ "C compiler division failure in 0x%llx, 0x%llx", (long long) a, (long long) b);
+ grub_test_assert (r == (a % b),
+ "C compiler modulo failure in 0x%llx, 0x%llx", (long long) a, (long long) b);
+#endif
+}
+
+static void
+test_all(grub_uint64_t a, grub_uint64_t b)
+{
+ test64 (a, b);
+ test32 (a, b);
+ test64s (a, b);
+ test32s (a, b);
+ test64s (a, -b);
+ test32s (a, -b);
+ test64s (-a, b);
+ test32s (-a, b);
+ test64s (-a, -b);
+ test32s (-a, -b);
+}
+
static void
div_test (void)
{
for (i = 0; i < ARRAY_SIZE (vectors); i++)
{
- test64 (vectors[i][0], vectors[i][1]);
- test32 (vectors[i][0], vectors[i][1]);
+ test_all (vectors[i][0], vectors[i][1]);
}
for (i = 0; i < 40000; i++)
{
b = 1;
if (a == 0)
a = 1;
- test64 (a, b);
- test32 (a, b);
-
+ test_all (a, b);
}
}
grub_uint64_t d,
grub_uint64_t *r);
+/* Must match softdiv group in gentpl.py. */
+#if !defined(GRUB_MACHINE_EMU) && (defined(__arm__) || defined(__ia64__))
+#define GRUB_DIVISION_IN_SOFTWARE 1
+#else
+#define GRUB_DIVISION_IN_SOFTWARE 0
+#endif
+
+/* Some division functions need to be in kernel if compiler generates calls
+ to them. Otherwise we still need them for consistent tests but they go
+ into a separate module. */
+#if GRUB_DIVISION_IN_SOFTWARE
+#define EXPORT_FUNC_IF_SOFTDIV EXPORT_FUNC
+#else
+#define EXPORT_FUNC_IF_SOFTDIV(x) x
+#endif
+
+grub_int64_t
+EXPORT_FUNC_IF_SOFTDIV(grub_divmod64s) (grub_int64_t n,
+ grub_int64_t d,
+ grub_int64_t *r);
+grub_uint32_t
+EXPORT_FUNC_IF_SOFTDIV (grub_divmod32) (grub_uint32_t n,
+ grub_uint32_t d,
+ grub_uint32_t *r);
+
+grub_int32_t
+EXPORT_FUNC_IF_SOFTDIV (grub_divmod32s) (grub_int32_t n,
+ grub_int32_t d,
+ grub_int32_t *r);
+
+#if defined(GRUB_DIVISION_IN_SOFTWARE) && GRUB_DIVISION_IN_SOFTWARE
+
+grub_uint32_t
+EXPORT_FUNC (__udivsi3) (grub_uint32_t a, grub_uint32_t b);
+
+grub_uint32_t
+EXPORT_FUNC (__umodsi3) (grub_uint32_t a, grub_uint32_t b);
+
+grub_int32_t
+EXPORT_FUNC (__divsi3) (grub_int32_t a, grub_int32_t b);
+
+grub_int32_t
+EXPORT_FUNC (__modsi3) (grub_int32_t a, grub_int32_t b);
+
+grub_int64_t
+EXPORT_FUNC (__divdi3) (grub_int64_t a, grub_int64_t b);
+
+grub_int64_t
+EXPORT_FUNC (__moddi3) (grub_int64_t a, grub_int64_t b);
+
+grub_uint64_t
+EXPORT_FUNC (__udivdi3) (grub_uint64_t a, grub_uint64_t b);
+
+grub_uint64_t
+EXPORT_FUNC (__umoddi3) (grub_uint64_t a, grub_uint64_t b);
+
+#endif
+
#if (defined (__MINGW32__) || defined (__CYGWIN__)) && !defined(GRUB_UTIL)
void EXPORT_FUNC (__register_frame_info) (void);
void EXPORT_FUNC (__deregister_frame_info) (void);
#if defined (__arm__)
-grub_uint32_t
-EXPORT_FUNC (__udivsi3) (grub_uint32_t a, grub_uint32_t b);
-
-grub_uint32_t
-EXPORT_FUNC (__umodsi3) (grub_uint32_t a, grub_uint32_t b);
-
#endif
#if defined (__sparc__) || defined (__powerpc__)
#ifdef __arm__
grub_uint32_t
EXPORT_FUNC (__aeabi_uidiv) (grub_uint32_t a, grub_uint32_t b);
+grub_int32_t
+EXPORT_FUNC (__aeabi_idiv) (grub_int32_t a, grub_int32_t b);
grub_uint32_t
EXPORT_FUNC (__aeabi_uidivmod) (grub_uint32_t a, grub_uint32_t b);
+grub_int32_t
+EXPORT_FUNC (__aeabi_idivmod) (grub_int32_t a, grub_int32_t b);
/* Needed for allowing modules to be compiled as thumb. */
grub_uint64_t
#endif
-#if defined (__ia64__)
-
-grub_uint64_t
-EXPORT_FUNC (__udivdi3) (grub_uint64_t a, grub_uint64_t b);
-
-grub_uint64_t
-EXPORT_FUNC (__umoddi3) (grub_uint64_t a, grub_uint64_t b);
-
-#endif
-
#endif /* GRUB_UTIL */