#include <iostream>

uint32_t bit_cast(float f) {
	uint32_t x;
	memcpy(&x, &f, 4);
	return x;
}

float bit_cast(uint32_t x) {
	float f;
	memcpy(&f, &x, 4);
	return f;
}

int get_uexp(uint32_t x) {
	return (x >> 23) & 0xFF;
}

int get_mant(uint32_t x) {
	return x & 0x7FFFFF;
}

// Only works with positive numbers.
float add4(float f[4]) {
	uint32_t x[4];
	int exps[4];
	uint32_t mants[4];
	uint32_t max_exp = 0;
	for (int i = 0; i < 4; i++) {
		x[i] = bit_cast(f[i]);
		exps[i] = get_uexp(x[i]);
		mants[i] = get_mant(x[i]) << 1;  // Preserve one extra bit.
		if (exps[i] > max_exp) {
			max_exp = exps[i];
		}
	}
	uint32_t mant_sum = 0;
	for (int i = 0; i < 4; i++) {
		mants[i] |= 0x1000000;  // put the hidden 1s in there so the mantissa sum works properly.
		mants[i] >>= max_exp - exps[i];
		mant_sum += mants[i];
	}
	mant_sum >>= 1;  // Chop off the extra bit.

	// Now they all have the same exponent, max_exp.
	// Sum the mantissas, adjust, and reconstruct the float.
	while (mant_sum >= 0x1000000) {
		mant_sum >>= 1;
		max_exp += 1;
	}
	uint32_t y = (max_exp << 23) | (mant_sum & 0x7FFFFF);
	return bit_cast(y);
}

int main()
{
	std::cout << "Hello World!\n";

	float a[4] = { 1.0, 1.0, 1.0, 1.0 };
	float b[4] = { bit_cast((uint32_t)0x33800000), bit_cast((uint32_t)0x33800000), bit_cast((uint32_t)0x33800000), bit_cast((uint32_t)0x3F800000) };

// 	std::cout << add4(a) << std::endl;
	std::cout << add4(b) << " " << bit_cast(add4(b)) << std::endl;

	printf("%08x", bit_cast(add4(b)));
}