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author | George Spelvin <linux@sciencehorizons.net> | 2016-05-25 15:06:09 (GMT) |
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committer | George Spelvin <linux@sciencehorizons.net> | 2016-05-28 19:48:58 (GMT) |
commit | 7b13277b682972c2ff8f6419e86c333d81936023 (patch) | |
tree | d3399d4fe1917a0c5f0c50e0de7201a88a4c5c50 /arch/microblaze/include | |
parent | 14c44b95b3dcb8ff1d627e6b78f57c4373d375cb (diff) | |
download | linux-7b13277b682972c2ff8f6419e86c333d81936023.tar.xz |
microblaze: Add <asm/hash.h>
Microblaze is an FPGA soft core that can be configured various ways.
If it is configured without a multiplier, the standard __hash_32()
will require a call to __mulsi3, which is a slow software loop.
Instead, use a shift-and-add sequence for the constant multiply.
GCC knows how to do this, but it's not as clever as some.
Signed-off-by: George Spelvin <linux@sciencehorizons.net>
Cc: Alistair Francis <alistair.francis@xilinx.com>
Cc: Michal Simek <michal.simek@xilinx.com>
Diffstat (limited to 'arch/microblaze/include')
-rw-r--r-- | arch/microblaze/include/asm/hash.h | 81 |
1 files changed, 81 insertions, 0 deletions
diff --git a/arch/microblaze/include/asm/hash.h b/arch/microblaze/include/asm/hash.h new file mode 100644 index 0000000..753513a --- /dev/null +++ b/arch/microblaze/include/asm/hash.h @@ -0,0 +1,81 @@ +#ifndef _ASM_HASH_H +#define _ASM_HASH_H + +/* + * Fortunately, most people who want to run Linux on Microblaze enable + * both multiplier and barrel shifter, but omitting them is technically + * a supported configuration. + * + * With just a barrel shifter, we can implement an efficient constant + * multiply using shifts and adds. GCC can find a 9-step solution, but + * this 6-step solution was found by Yevgen Voronenko's implementation + * of the Hcub algorithm at http://spiral.ece.cmu.edu/mcm/gen.html. + * + * That software is really not designed for a single multiplier this large, + * but if you run it enough times with different seeds, it'll find several + * 6-shift, 6-add sequences for computing x * 0x61C88647. They are all + * c = (x << 19) + x; + * a = (x << 9) + c; + * b = (x << 23) + a; + * return (a<<11) + (b<<6) + (c<<3) - b; + * with variations on the order of the final add. + * + * Without even a shifter, it's hopless; any hash function will suck. + */ + +#if CONFIG_XILINX_MICROBLAZE0_USE_HW_MUL == 0 + +#define HAVE_ARCH__HASH_32 1 + +/* Multiply by GOLDEN_RATIO_32 = 0x61C88647 */ +static inline u32 __attribute_const__ __hash_32(u32 a) +{ +#if CONFIG_XILINX_MICROBLAZE0_USE_BARREL + unsigned int b, c; + + /* Phase 1: Compute three intermediate values */ + b = a << 23; + c = (a << 19) + a; + a = (a << 9) + c; + b += a; + + /* Phase 2: Compute (a << 11) + (b << 6) + (c << 3) - b */ + a <<= 5; + a += b; /* (a << 5) + b */ + a <<= 3; + a += c; /* (a << 8) + (b << 3) + c */ + a <<= 3; + return a - b; /* (a << 11) + (b << 6) + (c << 3) - b */ +#else + /* + * "This is really going to hurt." + * + * Without a barrel shifter, left shifts are implemented as + * repeated additions, and the best we can do is an optimal + * addition-subtraction chain. This one is not known to be + * optimal, but at 37 steps, it's decent for a 31-bit multiplier. + * + * Question: given its size (37*4 = 148 bytes per instance), + * and slowness, is this worth having inline? + */ + unsigned int b, c, d; + + b = a << 4; /* 4 */ + c = b << 1; /* 1 5 */ + b += a; /* 1 6 */ + c += b; /* 1 7 */ + c <<= 3; /* 3 10 */ + c -= a; /* 1 11 */ + d = c << 7; /* 7 18 */ + d += b; /* 1 19 */ + d <<= 8; /* 8 27 */ + d += a; /* 1 28 */ + d <<= 1; /* 1 29 */ + d += b; /* 1 30 */ + d <<= 6; /* 6 36 */ + return d + c; /* 1 37 total instructions*/ +#endif +} + +#endif /* !CONFIG_XILINX_MICROBLAZE0_USE_HW_MUL */ +#endif /* _ASM_HASH_H */ |