float*2^i on integer operation

//
// Created by Tooster on 04.03.2018.
//

#include <cstdint>
#include <iostream>

union _A {
    uint32_t mask;
    float f;
} A1;

void pf(union _A X) {
    for (int i = 0, j = 0; i < 32; ++i) {
        printf("%d", X.mask & (1 << (31 - i)) ? 1 : 0);
        j++;
        if (j == 8) {
            printf(" ");
            j -= 8;
        }
    }
    printf("\n");

}

// multiplies float by 2^i using integer operations on bits
uint32_t get() {
    A1.mask = 0x00800000;
    int i = 500;

    int32_t m = A1.mask;
    int32_t e = (A1.mask >> 23) & 0xFF;
    if (e + i > 0xFE) return 0x7F800000 | (A1.mask & 0x8000000);
    if (e + i < 1) {
        m = (A1.mask>>(-i))&0x7FFFFF;
        e = 0;
    }
    return (A1.mask&0x80000000)|(std::max(e+i, 0)<<23)|(m&0x7fffff);

}

int main() {
    union _A x;
    x.mask = get();
    pf(x);
    printf("%.64f", x.f);
    return 0;
}