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+/// Immediates used by the logical immediate instructions are not actually the
+/// immediate value, but instead are encoded into a 13-bit wide mask of 3
+/// elements. This allows many more values to be represented than 13 bits would
+/// normally allow, at the expense of not being able to represent every possible
+/// value.
+///
+/// In order for a number to be encodeable in this form, the binary
+/// representation must consist of a single set of contiguous 1s. That pattern
+/// must then be replicatable across all of the bits either 1, 2, 4, 8, 16, or
+/// 32 times (rotated or not).
+///
+/// For example, 1 (0b1), 2 (0b10), 3 (0b11), and 4 (0b100) are all valid.
+/// However, 5 (0b101) is invalid, because it contains 2 sets of 1s and cannot
+/// be replicated across 64 bits.
+///
+/// Some more examples to illustrate the idea of replication:
+/// * 0x5555555555555555 is a valid value (0b0101...) because it consists of a
+/// single set of 1s which can be replicated across all of the bits 32 times.
+/// * 0xf0f0f0f0f0f0f0f0 is a valid value (0b1111000011110000...) because it
+/// consists of a single set of 1s which can be replicated across all of the
+/// bits 8 times (rotated by 4 bits).
+/// * 0x0ff00ff00ff00ff0 is a valid value (0000111111110000...) because it
+/// consists of a single set of 1s which can be replicated across all of the
+/// bits 4 times (rotated by 12 bits).
+///
+/// To encode the values, there are 3 elements:
+/// * n = 1 if the pattern is 64-bits wide, 0 otherwise
+/// * imms = the size of the pattern, a 0, and then one less than the number of
+/// sequential 1s
+/// * immr = the number of right rotations to apply to the pattern to get the
+/// target value
+///
+pub struct BitmaskImmediate {
+ n: u8,
+ imms: u8,
+ immr: u8
+}
+
+impl TryFrom<u64> for BitmaskImmediate {
+ type Error = ();
+
+ /// Attempt to convert a u64 into a BitmaskImm.
+ fn try_from(value: u64) -> Result<Self, Self::Error> {
+ /// Is this number's binary representation all 1s?
+ fn is_mask(imm: u64) -> bool {
+ if imm == u64::MAX { true } else { ((imm + 1) & imm) == 0 }
+ }
+
+ /// Is this number's binary representation one or more 1s followed by one or
+ /// more 0s?
+ fn is_shifted_mask(imm: u64) -> bool {
+ is_mask((imm - 1) | imm)
+ }
+
+ let mut imm = value;
+ let mut size = 64;
+
+ // First, determine the element size.
+ loop {
+ size >>= 1;
+ let mask = (1 << size) - 1;
+
+ if (imm & mask) != ((imm >> size) & mask) {
+ size <<= 1;
+ break;
+ }
+
+ if size <= 2 {
+ break;
+ }
+ }
+
+ // Second, determine the rotation to make the pattern be aligned such
+ // that all of the least significant bits are 1.
+ let trailing_ones: u32;
+ let left_rotations: u32;
+
+ let mask = u64::MAX >> (64 - size);
+ imm &= mask;
+
+ if is_shifted_mask(imm) {
+ left_rotations = imm.trailing_zeros();
+ assert!(left_rotations < 64);
+ trailing_ones = (imm >> left_rotations).trailing_ones();
+ } else {
+ imm |= !mask;
+ if !is_shifted_mask(!imm) {
+ return Err(());
+ }
+
+ let leading_ones = imm.leading_ones();
+ left_rotations = 64 - leading_ones;
+ trailing_ones = leading_ones + imm.trailing_ones() - (64 - size);
+ }
+
+ // immr is the number of right rotations it takes to get from the
+ // matching unrotated pattern to the target value.
+ let immr = (size - left_rotations) & (size - 1);
+ assert!(size > left_rotations);
+
+ // imms is encoded as the size of the pattern, a 0, and then one less
+ // than the number of sequential 1s. The table below shows how this is
+ // encoded. (Note that the way it works out, it's impossible for every x
+ // in a row to be 1 at the same time).
+ // +-------------+--------------+--------------+
+ // | imms | element size | number of 1s |
+ // +-------------+--------------+--------------+
+ // | 1 1 1 1 0 x | 2 bits | 1 |
+ // | 1 1 1 0 x x | 4 bits | 1-3 |
+ // | 1 1 0 x x x | 8 bits | 1-7 |
+ // | 1 0 x x x x | 16 bits | 1-15 |
+ // | 0 x x x x x | 32 bits | 1-31 |
+ // | x x x x x x | 64 bits | 1-63 |
+ // +-------------+--------------+--------------+
+ let imms = (!(size - 1) << 1) | (trailing_ones - 1);
+
+ // n is 1 if the element size is 64-bits, and 0 otherwise.
+ let n = ((imms >> 6) & 1) ^ 1;
+
+ Ok(BitmaskImmediate {
+ n: n as u8,
+ imms: (imms & 0x3f) as u8,
+ immr: (immr & 0x3f) as u8
+ })
+ }
+}
+
+impl From<BitmaskImmediate> for u32 {
+ /// Encode a bitmask immediate into a 32-bit value.
+ fn from(bitmask: BitmaskImmediate) -> Self {
+ 0
+ | (((bitmask.n as u32) & 1) << 12)
+ | (bitmask.immr << 6) as u32
+ | bitmask.imms as u32
+ }
+}
+
+#[cfg(test)]
+mod tests {
+ use super::*;
+
+ #[test]
+ fn test_failures() {
+ vec![5, 9, 10, 11, 13, 17, 18, 19].iter().for_each(|&imm| {
+ assert!(BitmaskImmediate::try_from(imm).is_err());
+ });
+ }
+
+ #[test]
+ fn test_size_2_minimum() {
+ let bitmask = BitmaskImmediate::try_from(0x5555555555555555);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000000, imms: 0b111100 })));
+ }
+
+ #[test]
+ fn test_size_2_maximum() {
+ let bitmask = BitmaskImmediate::try_from(0xaaaaaaaaaaaaaaaa);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000001, imms: 0b111100 })));
+ }
+
+ #[test]
+ fn test_size_4_minimum() {
+ let bitmask = BitmaskImmediate::try_from(0x1111111111111111);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000000, imms: 0b111000 })));
+ }
+
+ #[test]
+ fn test_size_4_rotated() {
+ let bitmask = BitmaskImmediate::try_from(0x6666666666666666);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000011, imms: 0b111001 })));
+ }
+
+ #[test]
+ fn test_size_4_maximum() {
+ let bitmask = BitmaskImmediate::try_from(0xeeeeeeeeeeeeeeee);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000011, imms: 0b111010 })));
+ }
+
+ #[test]
+ fn test_size_8_minimum() {
+ let bitmask = BitmaskImmediate::try_from(0x0101010101010101);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000000, imms: 0b110000 })));
+ }
+
+ #[test]
+ fn test_size_8_rotated() {
+ let bitmask = BitmaskImmediate::try_from(0x1818181818181818);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000101, imms: 0b110001 })));
+ }
+
+ #[test]
+ fn test_size_8_maximum() {
+ let bitmask = BitmaskImmediate::try_from(0xfefefefefefefefe);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000111, imms: 0b110110 })));
+ }
+
+ #[test]
+ fn test_size_16_minimum() {
+ let bitmask = BitmaskImmediate::try_from(0x0001000100010001);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000000, imms: 0b100000 })));
+ }
+
+ #[test]
+ fn test_size_16_rotated() {
+ let bitmask = BitmaskImmediate::try_from(0xff8fff8fff8fff8f);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b001001, imms: 0b101100 })));
+ }
+
+ #[test]
+ fn test_size_16_maximum() {
+ let bitmask = BitmaskImmediate::try_from(0xfffefffefffefffe);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b001111, imms: 0b101110 })));
+ }
+
+ #[test]
+ fn test_size_32_minimum() {
+ let bitmask = BitmaskImmediate::try_from(0x0000000100000001);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b000000, imms: 0b000000 })));
+ }
+
+ #[test]
+ fn test_size_32_rotated() {
+ let bitmask = BitmaskImmediate::try_from(0x3fffff003fffff00);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b011000, imms: 0b010101 })));
+ }
+
+ #[test]
+ fn test_size_32_maximum() {
+ let bitmask = BitmaskImmediate::try_from(0xfffffffefffffffe);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 0, immr: 0b011111, imms: 0b011110 })));
+ }
+
+ #[test]
+ fn test_size_64_minimum() {
+ let bitmask = BitmaskImmediate::try_from(0x0000000000000001);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 1, immr: 0b000000, imms: 0b000000 })));
+ }
+
+ #[test]
+ fn test_size_64_rotated() {
+ let bitmask = BitmaskImmediate::try_from(0x0000001fffff0000);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 1, immr: 0b110000, imms: 0b010100 })));
+ }
+
+ #[test]
+ fn test_size_64_maximum() {
+ let bitmask = BitmaskImmediate::try_from(0xfffffffffffffffe);
+ assert!(matches!(bitmask, Ok(BitmaskImmediate { n: 1, immr: 0b111111, imms: 0b111110 })));
+ }
+}