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const std = @import("std"); | |
const assert = std.debug.assert; | |
fn hybrid(p: anytype, q: anytype) @TypeOf(p, q) { | |
assert(p >= 1); | |
assert(q >= 1); | |
const T = @TypeOf(p, q); | |
var u: T = undefined; | |
var v: T = undefined; | |
if (p < q) { | |
u = q; | |
v = p; | |
} else { | |
u = p; | |
v = q; | |
} | |
assert(v <= u); | |
u %= v; | |
if (u == 0) return v; | |
const zu = @ctz(u); | |
const zv = @ctz(v); | |
const shift = @min(zu, zv); | |
u >>= @intCast(zu); | |
v >>= @intCast(zv); | |
while (true) { | |
const diff = u -% v; | |
if (u > v) { | |
u = v; | |
v = diff; | |
} else { | |
v -= u; | |
} | |
if (diff != 0) v >>= @intCast(@ctz(diff)); | |
if (v == 0) break; | |
} | |
const result = u << @intCast(shift); | |
assert(result > 0); | |
return result; | |
} | |
fn euclid(p: anytype, q: anytype) @TypeOf(p, q) { | |
assert(p >= 1); | |
assert(q >= 1); | |
const T = @TypeOf(p, q); | |
var a = p; | |
var b = q; | |
var c: T = undefined; | |
while (b != 0) { | |
c = b; | |
b = @mod(a, b); | |
a = c; | |
} | |
assert(a > 0); | |
return a; | |
} | |
pub fn main() !void { | |
var prng = std.Random.DefaultPrng.init(0x12345678); | |
var random = prng.random(); | |
var etime: usize = 0; | |
var htime: usize = 0; | |
var timer = try std.time.Timer.start(); | |
inline for (.{ u32, u64, u128 }) |T| { | |
for (0..10_000_000) |_| { | |
const a = random.int(T); | |
const b = random.int(T); | |
if (a == 0 or b == 0) continue; | |
var t = timer.read(); | |
const e = euclid(a, b); | |
etime += timer.read() - t; | |
t = timer.read(); | |
const h = hybrid(a, b); | |
htime += timer.read() - t; | |
assert(e == h); | |
} | |
std.debug.print("{}: {} vs. {} = {d:.2}x\n", .{ T, etime, htime, @as(f64, @floatFromInt(etime)) / @as(f64, @floatFromInt(htime)) }); | |
} | |
} |
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// g++ -std=c++20 gcd.cc | |
#include <cstdint> | |
#include <bit> | |
#include <utility> | |
#include <algorithm> | |
#include <iostream> | |
typedef uint64_t int_type ; | |
int_type hybrid_binary_gcd_noswap(int_type __a, int_type __b) { | |
if (__a < __b) { | |
int_type __tmp = __b; | |
__b = __a; | |
__a = __tmp; | |
} | |
if (__b == 0) | |
return __a; | |
__a %= __b; // Make both argument of the same size, and early result in the easy case. | |
if (__a == 0) | |
return __b; | |
int __az = std::countr_zero(__a); | |
int __bz = std::countr_zero(__b); | |
int __shift = std::min(__az, __bz); | |
__a >>= __az; | |
__b >>= __bz; | |
do { | |
int_type __diff = __a - __b; | |
std::cerr << __a << " " << __b << " " << __diff << std::endl; | |
if (__a > __b) { | |
__a = __b; | |
__b = __diff; | |
} else { | |
__b = __b - __a; | |
} | |
if (__diff != 0) | |
__b >>= std::countr_zero(__diff); | |
} while (__b != 0); | |
return __a << __shift; | |
} | |
int main() { | |
std::cout << hybrid_binary_gcd_noswap(2244737270, 1344042732) << std::endl; | |
return 0; | |
} |
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