Abstract: Embodiments of the invention are directed to a computer-implemented method of for parallel conversion to binary coded decimal format. The method includes receiving, by a floating point unit (FPU), a value in binary floating point (BFP) format. The BFP value includes an integer part and a fractional part. The FPU converts the BFP value to a binary coded decimal (BCD) value. In parallel to converting the BFP value to a BCD value, the FPU performs a rounding operation on the BFP value. The FPU receives the rounding information and operates on the BCD value accordingly.

Abstract: Aspects include a compute array of a processor with mixed-precision numerical linear algebra support. A first precision and a first shape of a first input matrix and a second precision and a second shape of a second input matrix to the compute array are determined. A plurality of linear algebra operations is repeated in parallel within the compute array to update a result matrix in an accumulator register based on the first input matrix, the second input matrix, and a number of rank updates of the result matrix to store in the accumulator register.

Abstract: A computer-implemented method includes: receiving, using a processor, a decimal floating point number; and using a floating point unit within the processor to convert the decimal floating point number into a binary coded decimal number, wherein the floating point unit starts a conversion loop subsequent to a rounding loop starting, wherein the rounding loop and the conversion loop run in parallel once started.

Abstract: Aspects include a compute array of a processor with mixed-precision numerical linear algebra support. A first precision and a first shape of a first input matrix and a second precision and a second shape of a second input matrix to the compute array are determined. A number of rank updates of a result matrix to store in an accumulator register having a predetermined size are determined, where the number of rank updates is based on the first precision and the first shape of the first input matrix, the second precision and the second shape of the second input matrix, and the predetermined size of the accumulator register. A plurality of linear algebra operations is repeated in parallel within the compute array to update the result matrix in the accumulator register based on the first input matrix, the second input matrix, and the number of rank updates.

Abstract: Validating microprocessor instruction execution by receiving a floating-point exception selection, receiving a validation method selection, generating validation data according to the floating-point exception selection and the validation method selection by randomly generating a first tensor element value and randomly generating a second tensor element value according to the first tensor element value and the floating-point exception selection, and executing a floating-point computation according to the validation data.

Abstract: Embodiments of the present invention are directed to a new instruction set extension and a method for providing 3D lane predication for matrix operations. In a non-limiting embodiment of the invention, a first input matrix having m rows and k columns and a second input matrix having k rows and n columns are received by a compute array of a processor. A three-dimensional predicate mask having an M-bit row mask, an N-bit column mask, and a K-bit rank mask is generated. A result matrix of up to m rows, up to n columns, and up to k rank updates is determined based on the first input matrix, the second input matrix, and the predicate mask.

Abstract: Techniques facilitating binary floating-point multiply and scale operation for compute-intensive numerical applications and apparatuses are provided. An embodiment relates to a system that can comprise a memory that stores computer executable components and a processor that executes the computer executable components stored in the memory. The computer executable components can comprise a receiver component that receives an instruction to perform a multiply and scale operation of the first floating point operand value, the second floating point operand value, and the integer operand value, wherein the multiplication component obtains the floating-point product in response to the instruction to perform the multiply and scale operation. The multiplication can be performed as a single instruction.

Abstract: A computer-implemented method for performing an exponential calculation using only two fully-pipelined instructions in a floating point unit that includes. The method includes computing an intermediate value y? by multiplying an input operand with a predetermined constant value. The input operand is received in floating point representation. The method further includes computing an exponential result for the input operand by executing a fused instruction. The fused instructions includes converting the intermediate value y? to an integer representation z represented by v most significant bits (MSB), and w least significant bits (LSB). The fused instruction further includes determining exponent bits of the exponential result based on the v MSB from the integer representation z. The method further includes determining mantissa bits of the exponential result according to a piece-wise linear mapping function using a predetermined number of segments based on the w LSB from the integer representation z.

Abstract: A computing device and a method of allocating vector register files in a simultaneously-multithreaded (SMT) processor core are provided. A request for a first number (M) of vector register files is received from a borrower thread of the processor core. One or more available donor threads of the processor core are identified. A second number (N) of the vector register files, of the identified one or more available donor threads, are assigned to the borrower thread, where N is ?M. The borrower thread is parameterized to create a virtualized vector register file for the borrower thread, based on a width of the N vector register files of the identified one or more donor threads.

Abstract: A computer system, processor, and method for processing information is disclosed that includes at least one computer processor; a main register file associated with the at least one processor, the main register file having a plurality of entries for storing data, one or more write ports to write data to the main register file entries, and one or more read ports to read data from the main register file entries; one or more execution units including a dense math execution unit; and at least one accumulator register file having a plurality of entries for storing data. The results of the dense math execution unit in an aspect are written to the accumulator register file, preferably to the same accumulator register file entry multiple times, and the data from the accumulator register file is written to the main register file.

Abstract: Embodiments of the present invention are directed to a new instruction set extension and a method for providing 3D lane predication for matrix operations. In a non-limiting embodiment of the invention, a first input matrix having m rows and k columns and a second input matrix having k rows and n columns are received by a compute array of a processor. A three-dimensional predicate mask having an M-bit row mask, an N-bit column mask, and a K-bit rank mask is generated. A result matrix of up to m rows, up to n columns, and up to k rank updates is determined based on the first input matrix, the second input matrix, and the predicate mask.

Abstract: Aspects include a compute array of a processor with mixed-precision numerical linear algebra support. A first precision and a first shape of a first input matrix and a second precision and a second shape of a second input matrix to the compute array are determined. A number of rank updates of a result matrix to store in an accumulator register having a predetermined size are determined, where the number of rank updates is based on the first precision and the first shape of the first input matrix, the second precision and the second shape of the second input matrix, and the predetermined size of the accumulator register. A plurality of linear algebra operations is repeated in parallel within the compute array to update the result matrix in the accumulator register based on the first input matrix, the second input matrix, and the number of rank updates.

Abstract: An example computer-implemented method includes receiving a first value, a second value, a third value, and a fourth value, wherein the first value, the second value, the third value, and the fourth value are 16-bit or smaller precision floating-point numbers. The method further includes multiplying the first value and the second value to generate a first product, wherein the first product is a 32-bit floating-point number. The method further includes multiplying the third value and the fourth value to generate a second product, wherein the second product is a 32-bit floating-point number. The method further includes summing the first product and the second product to generate a summed value, wherein the summed value is a 32-bit floating-point number. The method further includes adding the summed value to an addend value to generate a result value, wherein the addend value and the result value are 32-bit floating-point numbers.

Abstract: Methods and systems for division operation are described. A processor can initialize an estimated quotient between the dividend and the divisor separately from a floating-point unit (FPU) pipeline. The processor can implement the FPU pipeline to execute a refinement process that can include at least a first iteration of operations and a second iteration of operations. The refinement process can include, in the first iteration of operations, generating a first unnormalized floating-point value using the initialized estimated quotient. The refinement process can include, in the second iteration of operations, generating a second unnormalized floating-point value using the first unnormalized floating-point value. The processor can determine a final quotient based on the second unnormalized floating-point value.

Abstract: An instruction generates a value for use in processing within a computing environment. The instruction obtains a sign control associated with the instruction, and shifts an input value of the instruction in a specified direction by a selected amount to provide a result. The result is placed in a first designated location in a register, and the sign, which is based on the sign control, is placed in a second designated location of the register. The result and the sign provide a signed value to be used in processing within the computing environment.

Abstract: In an embodiment, a method includes configuring a specialized circuit for floating point computations using numbers represented by a hybrid format, wherein the hybrid format includes a first format and a second format. In the embodiment, the method includes operating the further configured specialized circuit to store an approximation of a numeric value in the first format during a forward pass for training a deep learning network. In the embodiment, the method includes operating the further configured specialized circuit to store an approximation of a second numeric value in the second format during a backward pass for training the deep learning network.

Abstract: In an embodiment, a method includes configuring a specialized circuit for floating point computations using numbers represented by a hybrid format, wherein the hybrid format includes a first format and a second format. In the embodiment, the method includes operating the further configured specialized circuit to store an approximation of a numeric value in the first format during a forward pass for training a deep learning network. In the embodiment, the method includes operating the further configured specialized circuit to store an approximation of a second numeric value in the second format during a backward pass for training the deep learning network.

Abstract: A computer system, processor, and method for processing information is disclosed that includes at least one computer processor; a main register file associated with the at least one processor, the main register file having a plurality of entries for storing data, one or more write ports to write data to the main register file entries, and one or more read ports to read data from the main register file entries; one or more execution units including a dense math execution unit; and at least one accumulator register file having a plurality of entries for storing data. The results of the dense math execution unit in an aspect are written to the accumulator register file, preferably to the same accumulator register file entry multiple times, and the data from the accumulator register file is written to the main register file.

Abstract: An aspect includes executing, by a binary based floating-point arithmetic unit of a processor, a calculation having two or more operands in hexadecimal format based on a hexadecimal floating-point (HFP) instruction and providing a condition code for a calculation result of the calculation. The floating-point arithmetic unit includes a condition code anticipator circuit that is configured to provide the condition code to the processor prior to availability of the calculation result.

Abstract: A computer-implemented method includes: receiving, using a processor, a decimal floating point number; and using a floating point unit within the processor to convert the decimal floating point number into a binary coded decimal number, wherein the floating point unit starts a conversion loop subsequent to a rounding loop starting, wherein the rounding loop and the conversion loop run in parallel once started.