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- /* SPDX-License-Identifier: GPL-2.0 */
- #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 */
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