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@ -605,23 +605,32 @@ depends on the runtime environment. |
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Operations |
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========== |
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The remaining instruction set is mostly arithmetic. |
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A few instructions have variants that take immediate operands (e.g., |
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:inst:`and` / :inst:`and_imm`), but in general an instruction is required to |
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load a constant into an SSA value. |
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Special operations |
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------------------ |
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.. inst:: a = iconst n |
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.. inst:: a = iconst N |
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Integer constant. |
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.. inst:: a = fconst n |
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Create a scalar integer SSA value with an immediate constant value, or an |
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integer vector where all the lanes have the same value. |
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.. inst:: a = fconst N |
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Floating point constant. |
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.. inst:: a = vconst n |
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Create a :type:`f32` or :type:`f64` SSA value with an immediate constant |
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value, or a floating point vector where all the lanes have the same value. |
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.. inst:: a = vconst N |
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Vector constant (floating point or integer). |
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Create a SIMD vector value where the lanes don't have to be identical. |
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.. inst:: a = select c, x, y |
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Conditional select. |
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@ -680,12 +689,13 @@ Vector operations |
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Integer operations |
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------------------ |
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.. inst:: a = icmp cond, x, y |
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.. inst:: a = icmp Cond, x, y |
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Integer comparison. |
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:param cond: Condition code determining how ``x`` and ``y`` are compared. |
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:param x, y: Integer scalar or vector values of the same type. |
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:arg Cond: Condition code determining how ``x`` and ``y`` are compared. |
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:arg x: First value to compare. |
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:arg y: Second value to compare. |
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:rtype: :type:`bool` or :type:`boolxN` with the same number of lanes as |
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``x`` and ``y``. |
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@ -708,29 +718,59 @@ Integer operations |
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Wrapping integer addition: :math:`a := x + y \pmod{2^B}`. This instruction |
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does not depend on the signed/unsigned interpretation of the operands. |
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Polymorphic over all integer types (vector and scalar). |
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.. inst:: a = iadd_imm x, Imm |
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Add immediate integer. |
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Same as :inst:`iadd`, but one operand is an immediate constant. |
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:arg iN x: Dynamic addend. |
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:arg Imm: Immediate addend. |
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Polymorphic over all scalar integer types. |
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.. inst:: a = isub x, y |
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Wrapping integer subtraction: :math:`a := x - y \pmod{2^B}`. This |
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instruction does not depend on the signed/unsigned interpretation of the |
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operands. |
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.. todo:: Overflow arithmetic |
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Polymorphic over all integer types (vector and scalar). |
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.. inst:: a = isub_imm Imm, x |
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Immediate subtraction. |
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Also works as integer negation when :math:`Imm = 0`. Use :inst:`iadd_imm` with a |
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negative immediate operand for the reverse immediate subtraction. |
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:arg Imm: Immediate minuend. |
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:arg iN x: Dynamic subtrahend. |
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Polymorphic over all scalar integer types. |
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.. todo:: Integer overflow arithmetic |
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Add instructions for add with carry out / carry in and so on. Enough to |
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implement larger integer types efficiently. It should also be possible to |
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legalize :type:`i64` arithmetic to terms of :type:`i32` operations. |
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.. inst:: a = ineg x |
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Wrapping integer negation: :math:`a := -x \pmod{2^B}`. This instruction does |
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not depend on the signed/unsigned interpretation of the operand. |
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.. inst:: a = imul x, y |
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Wrapping integer multiplication: :math:`a := x y \pmod{2^B}`. This |
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instruction does not depend on the signed/unsigned interpretation of the |
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operands. |
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Polymorphic over all integer types (vector and scalar). |
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.. inst:: a = imul_imm x, Imm |
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Integer multiplication by immediate constant. |
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Polymorphic over all scalar integer types. |
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.. todo:: Larger multiplication results. |
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For example, ``smulx`` which multiplies :type:`i32` operands to produce a |
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@ -741,10 +781,11 @@ Integer operations |
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Unsigned integer division: :math:`a := \lfloor {x \over y} \rfloor`. This |
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operation traps if the divisor is zero. |
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.. todo:: |
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Add a ``udiv_imm`` variant with an immediate divisor greater than 1. |
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This is useful for pattern-matching divide-by-constant, and this |
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instruction would be non-trapping. |
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.. inst:: a = udiv_imm x, Imm |
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Unsigned integer division by an immediate constant. |
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This instruction never traps because a divisor of zero is not allowed. |
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.. inst:: a = sdiv x, y |
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@ -753,37 +794,52 @@ Integer operations |
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the result is not representable in :math:`B` bits two's complement. This only |
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happens when :math:`x = -2^{B-1}, y = -1`. |
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.. todo:: |
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Add a ``sdiv_imm`` variant with an immediate non-zero divisor. This is |
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useful for pattern-matching divide-by-constant, and this instruction |
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would be non-trapping. Don't allow divisors 0, 1, or -1. |
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.. inst:: a = sdiv_imm x, Imm |
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Signed integer division by an immediate constant. |
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This instruction never traps because a divisor of -1 or 0 is not allowed. |
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.. inst:: a = urem x, y |
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Unsigned integer remainder. This operation traps if the divisor is zero. |
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Unsigned integer remainder. |
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This operation traps if the divisor is zero. |
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.. inst:: a = urem_imm x, Imm |
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.. todo:: |
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Add a ``urem_imm`` non-trapping variant. |
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Unsigned integer remainder with immediate divisor. |
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This instruction never traps because a divisor of zero is not allowed. |
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.. inst:: a = srem x, y |
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Signed integer remainder. This operation traps if the divisor is zero. |
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Signed integer remainder. |
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This operation traps if the divisor is zero. |
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.. todo:: Integer remainder vs modulus. |
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.. todo:: |
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Clarify whether the result has the sign of the divisor or the dividend. |
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Should we add a ``smod`` instruction for the case where the result has |
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the same sign as the divisor? |
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.. inst:: a = srem_imm x, Imm |
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Signed integer remainder with immediate divisor. |
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This instruction never traps because a divisor of 0 or -1 is not allowed. |
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.. todo:: Minimum / maximum. |
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NEON has ``smin``, ``smax``, ``umin``, and ``umax`` instructions. We should |
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replicate those for both scalar and vector integer types. Even if the |
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target ISA doesn't have scalar operations, these are good pattern mtching |
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target ISA doesn't have scalar operations, these are good pattern matching |
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targets. |
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.. todo:: Saturating arithmetic. |
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Mostly for SIMD use, but again these are good paterns to contract. |
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Mostly for SIMD use, but again these are good patterns for contraction. |
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Something like ``usatadd``, ``usatsub``, ``ssatadd``, and ``ssatsub`` is a |
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good start. |
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@ -825,9 +881,9 @@ Bitwise operations |
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Rotate the bits in ``x`` by ``y`` places. |
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:param x: Integer value to be rotated. |
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:param y: Number of bits to shift. Any integer type, not necessarily the |
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same type as ``x``. |
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:arg T x: Integer value to be rotated. |
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:arg iN y: Number of bits to shift. Any scalar integer type, not necessarily |
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the same type as ``x``. |
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:rtype: Same type as ``x``. |
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.. inst:: a = rotr x, y |
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@ -836,9 +892,9 @@ Bitwise operations |
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Rotate the bits in ``x`` by ``y`` places. |
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:param x: Integer value to be rotated. |
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:param y: Number of bits to shift. Any integer type, not necessarily the |
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same type as ``x``. |
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:arg T x: Integer value to be rotated. |
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:arg iN y: Number of bits to shift. Any scalar integer type, not necessarily |
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the same type as ``x``. |
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:rtype: Same type as ``x``. |
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.. inst:: a = ishl x, y |
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@ -848,9 +904,9 @@ Bitwise operations |
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The shift amount is masked to the size of ``x``. |
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:param x: Integer value to be shifted. |
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:param y: Number of bits to shift. Any integer type, not necessarily the |
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same type as ``x``. |
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:arg T x: Integer value to be shifted. |
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:arg iN y: Number of bits to shift. Any scalar integer type, not necessarily |
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the same type as ``x``. |
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:rtype: Same type as ``x``. |
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When shifting a B-bits integer type, this instruction computes: |
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@ -868,9 +924,9 @@ Bitwise operations |
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The shift amount is masked to the size of the register. |
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:param x: Integer value to be shifted. |
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:param y: Number of bits to shift. Can be any integer type, not necessarily |
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the same type as ``x``. |
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:arg T x: Integer value to be shifted. |
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:arg iN y: Number of bits to shift. Can be any scalar integer type, not |
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necessarily the same type as ``x``. |
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:rtype: Same type as ``x``. |
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When shifting a B-bits integer type, this instruction computes: |
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@ -888,9 +944,9 @@ Bitwise operations |
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The shift amount is masked to the size of the register. |
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:param x: Integer value to be shifted. |
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:param y: Number of bits to shift. Can be any integer type, not necessarily |
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the same type as ``x``. |
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:arg T x: Integer value to be shifted. |
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:arg iN y: Number of bits to shift. Can be any scalar integer type, not |
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necessarily the same type as ``x``. |
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:rtype: Same type as ``x``. |
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.. todo:: Add ``sshr_imm`` variant with an immediate ``y``. |
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@ -899,7 +955,7 @@ Bitwise operations |
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Count leading zero bits. |
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:param x: Integer value. |
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:arg x: Integer value. |
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:rtype: :type:`i8` |
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Starting from the MSB in ``x``, count the number of zero bits before |
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@ -910,7 +966,7 @@ Bitwise operations |
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Count leading sign bits. |
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:param x: Integer value. |
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:arg x: Integer value. |
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:rtype: :type:`i8` |
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Starting from the MSB after the sign bit in ``x``, count the number of |
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@ -921,7 +977,7 @@ Bitwise operations |
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Count trailing zeros. |
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:param x: Integer value. |
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:arg x: Integer value. |
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:rtype: :type:`i8` |
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Starting from the LSB in ``x``, count the number of zero bits before |
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@ -932,7 +988,7 @@ Bitwise operations |
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Population count |
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:param x: Integer value. |
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:arg x: Integer value. |
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:rtype: :type:`i8` |
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Count the number of one bits in ``x``. |
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@ -941,12 +997,14 @@ Bitwise operations |
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Floating point operations |
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------------------------- |
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.. inst:: a = fcmp cond, x, y |
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These operations generally follow IEEE 754-2008 semantics. |
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.. inst:: a = fcmp Cond, x, y |
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Floating point comparison. |
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:param cond: Condition code determining how ``x`` and ``y`` are compared. |
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:param x, y: Floating point scalar or vector values of the same type. |
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:arg Cond: Condition code determining how ``x`` and ``y`` are compared. |
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:arg x,y: Floating point scalar or vector values of the same type. |
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:rtype: :type:`bool` or :type:`boolxN` with the same number of lanes as |
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``x`` and ``y``. |
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@ -978,7 +1036,7 @@ Floating point operations |
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Floating point negation. |
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:returns: ``x`` with its sign bit inverted. |
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:result: ``x`` with its sign bit inverted. |
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Note that this is a pure bitwise operation. |
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@ -986,7 +1044,7 @@ Floating point operations |
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Floating point absolute value. |
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:returns: ``x`` with its sign bit cleared. |
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:result: ``x`` with its sign bit cleared. |
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Note that this is a pure bitwise operation. |
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@ -994,18 +1052,19 @@ Floating point operations |
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Floating point copy sign. |
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:returns: ``x`` with its sign changed to that of ``y``. |
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:result: ``x`` with its sign changed to that of ``y``. |
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Note that this is a pure bitwise operation. The sign bit from ``y`` is |
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copied to the sign bit of ``x``. |
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.. inst:: fmul x, y |
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.. inst:: fdiv x, y |
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.. inst:: fmin x, y |
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.. inst:: fminnum x, y |
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.. inst:: fmax x, y |
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.. inst:: fmaxnum x, y |
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.. inst:: ceil x |
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.. inst:: a = fmul x, y |
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.. inst:: a = fdiv x, y |
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.. inst:: a = fmin x, y |
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.. inst:: a = fminnum x, y |
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.. inst:: a = fmax x, y |
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.. inst:: a = fmaxnum x, y |
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.. inst:: a = ceil x |
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Round floating point round to integral, towards positive infinity. |
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@ -1053,6 +1112,7 @@ Conversion operations |
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.. inst:: a = cvt_utof x |
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.. inst:: a = cvt_stof x |
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Glossary |
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======== |
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