Abstract: Techniques for performing square root or reciprocal square root calculations on BF16 data elements in response to an instruction are described. An example of an instruction is one that includes fields for an opcode, an identification of a location of a packed data source operand, and an identification of a packed data destination operand, wherein the opcode is to indicate that execution circuitry is to perform, for each data element position of the packed data source operand, a calculation of a square root value of a BF16 data element in that position and store a result of each square root into a corresponding data element position of the packed data destination operand.

Abstract: Techniques for performing BF16 FMA in response to an instruction are described.

Abstract: Techniques for performing arithmetic operations on BF16 values are described. An exemplary instruction includes fields for an opcode, an identification of a location of a first packed data source operand, an identification of a location of a second packed data source operand, and an identification of location of a packed data destination operand, wherein the opcode is to indicate an arithmetic operation execution circuitry is to perform, for each data element position of the identified packed data source operands, the arithmetic operation on BF16 data elements in that data element position in BF16 format and store a result of each arithmetic operation into a corresponding data element position of the identified packed data destination operand.

Abstract: Techniques for scale and reduction of BF16 data elements are described. An exemplary instruction includes fields for an having fields for an opcode, an identification of a location of a first packed data source operand, an identification of a location of a second packed data source operand, and an identification of a packed data destination operand, wherein the opcode is to indicate that execution circuitry is to perform, for each data element position of the packed data source operands, a floating point scale operation of a BF16 data element of the first packed data source by multiplying the data element by a power of 2 value, wherein a value of the exponent of the power of 2 value is a floor value of a BF16 data element of the second packed data source, and store a result of the floating point scale operation into a corresponding data element position of the packed data destination operand.

Abstract: Techniques for BF16 classification or manipulation using single instructions are described. An exemplary instruction includes fields for an opcode, an identification of a location of a packed data source operand, an indication of one or more classification checks to perform, and an identification of a packed data destination operand, wherein the opcode is to indicate that execution circuitry is to perform, for each data element position of the packed data source operand, a classification according to the indicated one or more classification checks and store a result of the classification in a corresponding data element position of the destination operand.

Abstract: Embodiments of systems, apparatuses, and methods for fused multiple add. In some embodiments, a decoder decodes a single instruction having an opcode, a destination field representing a destination operand, and fields for a first, second, and third packed data source operand, wherein packed data elements of the first and second packed data source operand are of a first, different size than a second size of packed data elements of the third packed data operand.

Abstract: Systems, methods, and apparatuses relating to performing hashing operations on packed data elements are described.

Abstract: Embodiments of systems, apparatuses, and methods for fused multiple add. In some embodiments, a decoder decodes a single instruction having an opcode, a destination field representing a destination operand, and fields for a first, second, and third packed data source operand, wherein packed data elements of the first and second packed data source operand are of a first, different size than a second size of packed data elements of the third packed data operand.

Abstract: Techniques for matrix multiplication are described. In some examples, decode circuitry is to decode a single instruction having fields for an opcode, an indication of a location of a first source operand, an indication of a location of a second source operand, and an indication of a location of a destination operand, wherein the opcode is to indicate that execution circuitry is to at least convert data elements of the first and second source operands from a first floating point representation to a second floating point representation, perform matrix multiplication with the converted data elements, and accumulate results of the matrix multiplication in the destination operand in the first floating point representation; and the execution circuitry is to execute to the decoded instruction as specified by the opcode.

Abstract: Embodiments of systems, apparatuses, and methods for fused multiple add. In some embodiments, a decoder decodes a single instruction having an opcode, a destination field representing a destination operand, and fields for a first, second, and third packed data source operand, wherein packed data elements of the first and second packed data source operand are of a first, different size than a second size of packed data elements of the third packed data operand.

Abstract: Embodiments of systems, apparatuses, and methods for fused multiple add. In some embodiments, a decoder decodes a single instruction having an opcode, a destination field representing a destination operand, and fields for a first, second, and third packed data source operand, wherein packed data elements of the first and second packed data source operand are of a first, different size than a second size of packed data elements of the third packed data operand.

Abstract: Embodiments of systems, apparatuses, and methods for fused multiple add. In some embodiments, a decoder decodes a single instruction having an opcode, a destination field representing a destination operand, and fields for a first, second, and third packed data source operand, wherein packed data elements of the first and second packed data source operand are of a first, different size than a second size of packed data elements of the third packed data operand.

Abstract: Disclosed embodiments relate to systems and methods for performing instructions to convert to 16-bit floating-point format. In one example, a processor includes fetch circuitry to fetch an instruction having fields to specify an opcode and locations of a first source vector comprising N single-precision elements, and a destination vector comprising at least N 16-bit floating-point elements, the opcode to indicate execution circuitry is to convert each of the elements of the specified source vector to 16-bit floating-point, the conversion to include truncation and rounding, as necessary, and to store each converted element into a corresponding location of the specified destination vector, decode circuitry to decode the fetched instruction, and execution circuitry to respond to the decoded instruction as specified by the opcode.

Abstract: Disclosed embodiments relate to systems and methods for performing 16-bit floating-point vector dot product instructions. In one example, a processor includes fetch circuitry to fetch an instruction having fields to specify an opcode and locations of first source, second source, and destination vectors, the opcode to indicate execution circuitry is to multiply N pairs of 16-bit floating-point formatted elements of the specified first and second sources, and accumulate the resulting products with previous contents of a corresponding single-precision element of the specified destination, decode circuitry to decode the fetched instruction, and execution circuitry to respond to the decoded instruction as specified by the opcode.

Abstract: Systems, methods, and apparatuses relating to interleaving data values. An embodiment includes decoding circuitry to decode a single instruction, the instruction having one or more fields to specify an opcode, one or more fields to specify a location of a first source operand, one or more fields to specify a location of a second source operand, one or more fields to specify a location of a destination operand, and one or more fields to specify an index value to be used to index a row in the first source operand, wherein the opcode is to indicate execution circuitry is to downconvert data elements of the indexed row of the first source operand, interleave the downconverted elements with data elements of the second source operand, and store the interleaved elements in the destination operand; and execution circuitry to execute the decoded instruction according to the opcode.

Abstract: Disclosed embodiments relate to efficient complex vector multiplication. In one example, an apparatus includes execution circuitry, responsive to an instruction having fields to specify multiplier, multiplicand, and summand complex vectors, to perform two operations: first, to generate a double-even multiplicand by duplicating even elements of the specified multiplicand, and to generate a temporary vector using a fused multiply-add (FMA) circuit having A, B, and C inputs set to the specified multiplier, the double-even multiplicand, and the specified summand, respectively, and second, to generate a double-odd multiplicand by duplicating odd elements of the specified multiplicand, to generate a swapped multiplier by swapping even and odd elements of the specified multiplier, and to generate a result using a second FMA circuit having its even product negated, and having A, B, and C inputs set to the swapped multiplier, the double-odd multiplicand, and the temporary vector, respectively.

Abstract: Disclosed embodiments relate to systems and methods for performing instructions to transpose rectangular tiles. In one example, a processor includes fetch circuitry to fetch an instruction having fields to specify an opcode and locations of first destination, second destination, first source, and second source matrices, the specified opcode to cause the processor to process each of the specified source and destination matrices as a rectangular matrix, decode circuitry to decode the fetched rectangular matrix transpose instruction, and execution circuitry to respond to the decoded rectangular matrix transpose instruction by transposing each row of elements of the specified first source matrix into a corresponding column of the specified first destination matrix and transposing each row of elements of the specified second source matrix into a corresponding column of the specified second destination matrix.

Abstract: An apparatus and method for complex matrix multiplication. For example, one embodiment of a processor comprises: a decoder to decode a first complex matrix multiplication instruction; execution circuitry to execute the first complex matrix multiplication instruction, the execution circuitry comprising parallel multiplication circuitry to multiply real values from the first plurality of real and imaginary values with corresponding real values from the second plurality of real and imaginary values to generate a first plurality of real products, to multiply imaginary values from the first plurality of real and imaginary values with corresponding imaginary values from the second plurality of real and imaginary values to generate a second plurality of real products; and addition/subtraction circuitry to subtract each real product in the second plurality of real products from a corresponding real product in the first plurality of real products to produce a corresponding real value in the result matrix.

Abstract: Techniques for converting FP16 data elements to BF8 data elements using a single instruction are described. An exemplary apparatus includes decoder circuitry to decode a single instruction, the single instruction to include a one or more fields to identify a source operand, one or more fields to identify a destination operand, and one or more fields for an opcode, the opcode to indicate that execution circuitry is to convert packed half-precision floating-point data from the identified source to packed bfloat8 data and store the packed bfloat8 data into corresponding data element positions of the identified destination operand; and execution circuitry to execute the decoded instruction according to the opcode to convert packed half-precision floating-point data from the identified source to packed bfloat8 data and store the packed bfloat8 data into corresponding data element positions.

Abstract: Techniques for converting FP16 to BF8 using bias are described.