dest[0] = dest[0] | source[0] dest[1] = dest[1] | source[1] dest[2] = dest[2] | source[2] dest[3] = dest[3] | source[3]
The andps instruction ands the 4 source values (second operand) to the 4 values of the destination (an XMM register). The source can be an XMM register or a 32 bit memory location. There is also vandps on CPUs with AVX instructions which allows using 3 XMM registers or 2 XMM registers and a memory location which can simplify coding and which ands 8 pairs of values if you use YMM registers.
There is also andpd which ands packed doubles. The result is the same so pick your favorite.
andps xmm0, xmm1 ; and 4 pairs of values from xmm0 & xmm1 ; leave the rest of ymm0 as is andps xmm0, [x] ; and 4 pairs of values from xmm0 & x ; x is an array of floats ; leave the rest of ymm0 as is vandps xmm3, xmm0, xmm15 ; and 4 pairs of values from xmm0 & xmm15 ; store results in xmm3 vandps ymm3, ymm0, [x] ; and 8 pairs of values from ymm0 & x ; store results in ymm3 vandps ymm3, ymm0, [rsi] ; and 8 pairs of values from ymm0 & [rsi] ; rsi contains the address of an array ; store results in ymm3