# Logical Operators

The logical operators use the symbols and intrinsics listed in the following table.

Bitwise Operation | Operator Symbols | Syntax Usage | Corresponding Intrinsic
--- | --- | --- | ---
Standard | w/assign | Standard | w/assign
`AND` | `&` | `&=` | `R = A & B` | `R &= A` | _mm_and_si64 _mm_and_si128
`OR` | `|` | `|=` | `R = A | B` | `R |= A` | _mm_and_si64 _mm_and_si128
XOR | ^ | ^= | R = A^B | R ^= A | _mm_and_si64 _mm_and_si128
`ANDNOT` | `andnot` | `N/A` | `R = A andnot B` | `N/A` | _mm_and_si64 _mm_and_si128

Logical Operators and Miscellaneous Exceptions

A and B converted to M64. Result assigned to `Iu8vec8`.

`I64vec1 A;`

`Is8vec8 B;`

`Iu8vec8 C;`

`C = A & B;`

Same size and signedness operators return the nearest common ancestor.

`I32vec2 R = Is32vec2 A ^ Iu32vec2 B;`

A&B returns M64, which is cast to `Iu8vec8`.

`C = Iu8vec8(A&B)+ C;`

When `A` and `B` are of the same class, they return the same type. When `A` and `B` are of different classes, the return value is the return type of the nearest common ancestor.

The logical operator returns values for combinations of classes, listed in the following tables, apply when `A` and `B` are of different classes.

Ivec Logical Operator Overloading

Return ® | AND | OR | XOR | NAND | A Operand | B Operand
--- | --- | --- | --- | --- | --- | ---
`I64vec1 R` | `&` | `|` | `^` | `andnot` | `I[s|u]64vec2 A` | `I[s|u]64vec2 B`
`I64vec2 R` | `&` | `|` | `^` | `andnot` | `I[s|u]64vec2 A` | `I[s|u]64vec2 B`
`I32vec2 R` | `&` | `|` | `^` | `andnot` | `I[s|u]32vec2 A` | `I[s|u]32vec2 B`
`I32vec4 R` | `&` | `|` | `^` | `andnot` | `I[s|u]32vec4 A` | `I[s|u]32vec4 B`
`I16vec4 R` | `&` | `|` | `^` | `andnot` | `I[s|u]16vec4 A` | `I[s|u]16vec4 B`
`I16vec8 R` | `&` | `|` | `^` | `andnot` | `I[s|u]16vec8 A` | `I[s|u]16vec8 B`
`I8vec8 R` | `&` | `|` | `^` | `andnot` | `I[s|u]8vec8 A` | `I[s|u]8vec8 B`
`I8vec16 R` | `&` | `|` | `^` | `andnot` | `I[s|u]8vec16 A` | `I[s|u]8vec16 B`

For logical operators with assignment, the return value of `R` is always the same data type as the pre-declared value of R as listed in the table that follows.

Ivec Logical Operator Overloading with Assignment

Return Type | Left Side ® | AND | OR | XOR | Right Side (Any Ivec Type)
--- | --- | --- | --- | --- | ---
`I128vec1` | `I128vec1 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`
`I64vec1` | `I64vec1 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`
`I64vec2` | `I64vec2 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`
`I[x]32vec4` | `I[x]32vec4 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`
`I[x]32vec2` | `I[x]32vec2 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`
`I[x]16vec8` | `I[x]16vec8 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`
`I[x]16vec4` | `I[x]16vec4 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`
`I[x]8vec16` | `I[x]8vec16 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`
`I[x]8vec8` | `I[x]8vec8 R` | `&=` | `|=` | `^=` | `I[s|u][N]vec[N] A;`

Parent topic: Integer Vector Classes