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Removed divideByConstantCodegen

tevador hace 7 años
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Se han modificado 2 ficheros con 0 adiciones y 286 borrados
  1. 0 169
      src/divideByConstantCodegen.c
  2. 0 117
      src/divideByConstantCodegen.h

+ 0 - 169
src/divideByConstantCodegen.c

@@ -1,169 +0,0 @@
-/*
-  Reference implementations of computing and using the "magic number" approach to dividing
-  by constants, including codegen instructions. The unsigned division incorporates the
-  "round down" optimization per ridiculous_fish.
-
-  This is free and unencumbered software. Any copyright is dedicated to the Public Domain.
-*/
-
-#include <limits.h> //for CHAR_BIT
-#include <assert.h>
-
-#include "divideByConstantCodegen.h"
-
-struct magicu_info compute_unsigned_magic_info(unsigned_type D, unsigned num_bits) {
-
-	//The numerator must fit in a unsigned_type
-	assert(num_bits > 0 && num_bits <= sizeof(unsigned_type) * CHAR_BIT);
-
-	// D must be larger than zero and not a power of 2
-	assert(D & (D - 1));
-
-	// The eventual result
-	struct magicu_info result;
-
-	// Bits in a unsigned_type
-	const unsigned UINT_BITS = sizeof(unsigned_type) * CHAR_BIT;
-
-	// The extra shift implicit in the difference between UINT_BITS and num_bits
-	const unsigned extra_shift = UINT_BITS - num_bits;
-
-	// The initial power of 2 is one less than the first one that can possibly work
-	const unsigned_type initial_power_of_2 = (unsigned_type)1 << (UINT_BITS - 1);
-
-	// The remainder and quotient of our power of 2 divided by d
-	unsigned_type quotient = initial_power_of_2 / D, remainder = initial_power_of_2 % D;
-
-	// ceil(log_2 D)
-	unsigned ceil_log_2_D;
-
-	// The magic info for the variant "round down" algorithm
-	unsigned_type down_multiplier = 0;
-	unsigned down_exponent = 0;
-	int has_magic_down = 0;
-
-	// Compute ceil(log_2 D)
-	ceil_log_2_D = 0;
-	unsigned_type tmp;
-	for (tmp = D; tmp > 0; tmp >>= 1)
-		ceil_log_2_D += 1;
-
-
-	// Begin a loop that increments the exponent, until we find a power of 2 that works.
-	unsigned exponent;
-	for (exponent = 0; ; exponent++) {
-		// Quotient and remainder is from previous exponent; compute it for this exponent.
-		if (remainder >= D - remainder) {
-			// Doubling remainder will wrap around D
-			quotient = quotient * 2 + 1;
-			remainder = remainder * 2 - D;
-		}
-		else {
-			// Remainder will not wrap
-			quotient = quotient * 2;
-			remainder = remainder * 2;
-		}
-
-		// We're done if this exponent works for the round_up algorithm.
-		// Note that exponent may be larger than the maximum shift supported,
-		// so the check for >= ceil_log_2_D is critical.
-		if ((exponent + extra_shift >= ceil_log_2_D) || (D - remainder) <= ((unsigned_type)1 << (exponent + extra_shift)))
-			break;
-
-		// Set magic_down if we have not set it yet and this exponent works for the round_down algorithm
-		if (!has_magic_down && remainder <= ((unsigned_type)1 << (exponent + extra_shift))) {
-			has_magic_down = 1;
-			down_multiplier = quotient;
-			down_exponent = exponent;
-		}
-	}
-
-	if (exponent < ceil_log_2_D) {
-		// magic_up is efficient
-		result.multiplier = quotient + 1;
-		result.pre_shift = 0;
-		result.post_shift = exponent;
-		result.increment = 0;
-	}
-	else if (D & 1) {
-		// Odd divisor, so use magic_down, which must have been set
-		assert(has_magic_down);
-		result.multiplier = down_multiplier;
-		result.pre_shift = 0;
-		result.post_shift = down_exponent;
-		result.increment = 1;
-	}
-	else {
-		// Even divisor, so use a prefix-shifted dividend
-		unsigned pre_shift = 0;
-		unsigned_type shifted_D = D;
-		while ((shifted_D & 1) == 0) {
-			shifted_D >>= 1;
-			pre_shift += 1;
-		}
-		result = compute_unsigned_magic_info(shifted_D, num_bits - pre_shift);
-		assert(result.increment == 0 && result.pre_shift == 0); //expect no increment or pre_shift in this path
-		result.pre_shift = pre_shift;
-	}
-	return result;
-}
-
-struct magics_info compute_signed_magic_info(signed_type D) {
-	// D must not be zero and must not be a power of 2 (or its negative)
-	assert(D != 0 && (D & -D) != D && (D & -D) != -D);
-
-	// Our result
-	struct magics_info result;
-
-	// Bits in an signed_type
-	const unsigned SINT_BITS = sizeof(signed_type) * CHAR_BIT;
-
-	// Absolute value of D (we know D is not the most negative value since that's a power of 2)
-	const unsigned_type abs_d = (D < 0 ? -D : D);
-
-	// The initial power of 2 is one less than the first one that can possibly work
-	// "two31" in Warren
-	unsigned exponent = SINT_BITS - 1;
-	const unsigned_type initial_power_of_2 = (unsigned_type)1 << exponent;
-
-	// Compute the absolute value of our "test numerator,"
-	// which is the largest dividend whose remainder with d is d-1.
-	// This is called anc in Warren.
-	const unsigned_type tmp = initial_power_of_2 + (D < 0);
-	const unsigned_type abs_test_numer = tmp - 1 - tmp % abs_d;
-
-	// Initialize our quotients and remainders (q1, r1, q2, r2 in Warren)
-	unsigned_type quotient1 = initial_power_of_2 / abs_test_numer, remainder1 = initial_power_of_2 % abs_test_numer;
-	unsigned_type quotient2 = initial_power_of_2 / abs_d, remainder2 = initial_power_of_2 % abs_d;
-	unsigned_type delta;
-
-	// Begin our loop
-	do {
-		// Update the exponent
-		exponent++;
-
-		// Update quotient1 and remainder1
-		quotient1 *= 2;
-		remainder1 *= 2;
-		if (remainder1 >= abs_test_numer) {
-			quotient1 += 1;
-			remainder1 -= abs_test_numer;
-		}
-
-		// Update quotient2 and remainder2
-		quotient2 *= 2;
-		remainder2 *= 2;
-		if (remainder2 >= abs_d) {
-			quotient2 += 1;
-			remainder2 -= abs_d;
-		}
-
-		// Keep going as long as (2**exponent) / abs_d <= delta
-		delta = abs_d - remainder2;
-	} while (quotient1 < delta || (quotient1 == delta && remainder1 == 0));
-
-	result.multiplier = quotient2 + 1;
-	if (D < 0) result.multiplier = -result.multiplier;
-	result.shift = exponent - SINT_BITS;
-	return result;
-}

+ 0 - 117
src/divideByConstantCodegen.h

@@ -1,117 +0,0 @@
-/*
-Copyright (c) 2018 tevador
-
-This file is part of RandomX.
-
-RandomX is free software: you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation, either version 3 of the License, or
-(at your option) any later version.
-
-RandomX 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 General Public License for more details.
-
-You should have received a copy of the GNU General Public License
-along with RandomX.  If not, see<http://www.gnu.org/licenses/>.
-*/
-
-#pragma once
-#include <stdint.h>
-
-#if defined(__cplusplus)
-extern "C" {
-#endif
-
-	typedef uint64_t unsigned_type;
-	typedef int64_t signed_type;
-
-	/* Computes "magic info" for performing signed division by a fixed integer D.
-	   The type 'signed_type' is assumed to be defined as a signed integer type large enough
-	   to hold both the dividend and the divisor.
-	   Here >> is arithmetic (signed) shift, and >>> is logical shift.
-
-	   To emit code for n/d, rounding towards zero, use the following sequence:
-
-		 m = compute_signed_magic_info(D)
-		 emit("result = (m.multiplier * n) >> SINT_BITS");
-		 if d > 0 and m.multiplier < 0: emit("result += n")
-		 if d < 0 and m.multiplier > 0: emit("result -= n")
-		 if m.post_shift > 0: emit("result >>= m.shift")
-		 emit("result += (result < 0)")
-
-	  The shifts by SINT_BITS may be "free" if the high half of the full multiply
-	  is put in a separate register.
-
-	  The final add can of course be implemented via the sign bit, e.g.
-		  result += (result >>> (SINT_BITS - 1))
-	   or
-		  result -= (result >> (SINT_BITS - 1))
-
-	   This code is heavily indebted to Hacker's Delight by Henry Warren.
-	   See http://www.hackersdelight.org/HDcode/magic.c.txt
-	   Used with permission from http://www.hackersdelight.org/permissions.htm
-	 */
-
-	struct magics_info {
-		signed_type multiplier; // the "magic number" multiplier
-		unsigned shift; // shift for the dividend after multiplying
-	};
-	struct magics_info compute_signed_magic_info(signed_type D);
-
-
-	/* Computes "magic info" for performing unsigned division by a fixed positive integer D.
-	   The type 'unsigned_type' is assumed to be defined as an unsigned integer type large enough
-	   to hold both the dividend and the divisor. num_bits can be set appropriately if n is
-	   known to be smaller than the largest unsigned_type; if this is not known then pass
-	   (sizeof(unsigned_type) * CHAR_BIT) for num_bits.
-
-	   Assume we have a hardware register of width UINT_BITS, a known constant D which is
-	   not zero and not a power of 2, and a variable n of width num_bits (which may be
-	   up to UINT_BITS). To emit code for n/d, use one of the two following sequences
-	   (here >>> refers to a logical bitshift):
-
-		 m = compute_unsigned_magic_info(D, num_bits)
-		 if m.pre_shift > 0: emit("n >>>= m.pre_shift")
-		 if m.increment: emit("n = saturated_increment(n)")
-		 emit("result = (m.multiplier * n) >>> UINT_BITS")
-		 if m.post_shift > 0: emit("result >>>= m.post_shift")
-
-	   or
-
-		 m = compute_unsigned_magic_info(D, num_bits)
-		 if m.pre_shift > 0: emit("n >>>= m.pre_shift")
-		 emit("result = m.multiplier * n")
-		 if m.increment: emit("result = result + m.multiplier")
-		 emit("result >>>= UINT_BITS")
-		 if m.post_shift > 0: emit("result >>>= m.post_shift")
-
-	  The shifts by UINT_BITS may be "free" if the high half of the full multiply
-	  is put in a separate register.
-
-	  saturated_increment(n) means "increment n unless it would wrap to 0," i.e.
-		if n == (1 << UINT_BITS)-1: result = n
-		else: result = n+1
-	  A common way to implement this is with the carry bit. For example, on x86:
-		 add 1
-		 sbb 0
-
-	  Some invariants:
-	   1: At least one of pre_shift and increment is zero
-	   2: multiplier is never zero
-
-	   This code incorporates the "round down" optimization per ridiculous_fish.
-	 */
-
-	struct magicu_info {
-		unsigned_type multiplier; // the "magic number" multiplier
-		unsigned pre_shift; // shift for the dividend before multiplying
-		unsigned post_shift; //shift for the dividend after multiplying
-		int increment; // 0 or 1; if set then increment the numerator, using one of the two strategies
-	};
-	struct magicu_info compute_unsigned_magic_info(unsigned_type D, unsigned num_bits);
-
-#if defined(__cplusplus)
-}
-#endif