Created
August 9, 2018 04:20
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マイナス2進数の考察
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<!DOCTYPE html> | |
<html> | |
<head> | |
<meta charset="utf-8"> | |
<style> | |
body { | |
background-color: rgb(255, 255, 255); | |
} | |
</style> | |
</head> | |
<body> | |
<span id="container"></span> | |
<script src="./main.js"></script> | |
</body> | |
</html> |
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fetch('../out/main.wasm').then(response => | |
response.arrayBuffer() | |
).then(bytes => WebAssembly.instantiate(bytes)).then(results => { | |
instance = results.instance; | |
document.getElementById("container").innerText = instance.exports.dec2mbin(-10).toString(2); | |
}).catch(console.error); |
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#[no_mangle] | |
pub extern "C" fn dec2mbin(dec: i32) -> u32 { | |
let mut mbin: u32 = 0; | |
let mut rest: i32 = dec; | |
for i in 0..32 { | |
let j = 31 - i; | |
if j == 0 { | |
assert!(rest == 0 || rest == 1); | |
mbin = mbin + rest as u32; | |
rest = 0; | |
} else if j % 2 == 0 { | |
// (-2)^j >= 0 | |
if rest > mbin_positive_max(j - 1 + 1) { | |
mbin = mbin + pow2u32(j); | |
rest = rest - pow2u32(j) as i32; | |
} | |
} else { | |
// (-2)^j < 0 | |
if rest < mbin_negative_min(j - 1 + 1) { | |
mbin = mbin + pow2u32(j); | |
rest = rest + pow2u32(j) as i32; | |
} | |
} | |
} | |
mbin | |
} | |
#[inline] | |
fn pow2u32(exp: u32) -> u32 { | |
1 << exp | |
} | |
fn mbin_positive_max(l: u32) -> i32 { | |
let mut val = 0; | |
for i in 0..l { | |
if i % 2 == 0 { | |
val = val + pow2u32(i) as i32; | |
} | |
} | |
val | |
} | |
fn mbin_negative_min(l: u32) -> i32 { | |
let mut val = 0; | |
for i in 0..l { | |
if i % 2 == 1 { | |
val = val - pow2u32(i) as i32; | |
} | |
} | |
val | |
} | |
// TEST CODE | |
#[cfg(test)] | |
fn mbin2dec(mbin: u32) -> i32 { | |
let mut dec = 0; | |
for i in 0..32 { | |
let exp = powi32(-2, i); | |
dec = dec + ((mbin >> i) & 1) as i32 * exp; | |
} | |
dec | |
} | |
#[cfg(test)] | |
fn powi32(base: i32, exp: usize) -> i32 { | |
let mut val = 1; | |
for _ in 0..exp { | |
val = val * base; | |
} | |
val | |
} | |
#[cfg(test)] | |
mod tests { | |
use dec2mbin; | |
use mbin2dec; | |
use mbin_negative_min; | |
use mbin_positive_max; | |
#[test] | |
fn mbin2dec_works() { | |
assert_eq!(mbin2dec(0b000), 0); | |
assert_eq!(mbin2dec(0b001), 1); | |
assert_eq!(mbin2dec(0b010), -2); | |
assert_eq!(mbin2dec(0b011), -1); | |
assert_eq!(mbin2dec(0b100), 4); | |
assert_eq!(mbin2dec(0b0101_0101_0101_0101_0101_0101_0101_0101u32), 1431655765); | |
//assert_eq!(mbin2dec(0b1010_1010_1010_1010_1010_1010_1010_1010u32), -2863311530); // Out of range of u32 error | |
//assert_eq!(mbin2dec(0b1111_1111_1111_1111_1111_1111_1111_1111u32), -1431655765); // Out of range of u32 error | |
} | |
#[test] | |
fn mbin_positive_max_works() { | |
assert_eq!(mbin_positive_max(1), 1); | |
assert_eq!(mbin_positive_max(2), 1); | |
assert_eq!(mbin_positive_max(3), 1 + 4); | |
assert_eq!(mbin_positive_max(4), 1 + 4); | |
assert_eq!(mbin_positive_max(31), 1431655765); | |
assert_eq!(mbin_positive_max(32), 1431655765); | |
} | |
#[test] | |
fn mbin_negative_min_works() { | |
assert_eq!(mbin_negative_min(1), 0); | |
assert_eq!(mbin_negative_min(2), -2); | |
assert_eq!(mbin_negative_min(3), -2); | |
assert_eq!(mbin_negative_min(4), -2 - 8); | |
assert_eq!(mbin_negative_min(31), -715827882); | |
//assert_eq!(mbin_negative_min(32), -2863311530); // Out of range of i32 error | |
} | |
#[test] | |
fn dec2mbin_works() { | |
assert_eq!(dec2mbin(0), 0); | |
assert_eq!(dec2mbin(1431655765), 0b0101_0101_0101_0101_0101_0101_0101_0101u32); | |
//assert_eq!(dec2mbin(-2863311530), 0b1010_1010_1010_1010_1010_1010_1010_1010u32); // Out of range of i32 error | |
//assert_eq!(dec2mbin(-1431655765), 0b1111_1111_1111_1111_1111_1111_1111_1111u32); // Out of range of i32 error | |
for i in 0..0xff { | |
let j = i; | |
assert_eq!(mbin2dec(dec2mbin(j)), j); | |
let j = -i; | |
assert_eq!(mbin2dec(dec2mbin(j)), j); | |
} | |
} | |
} |
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