Complex number matrix multiplication processors, methods, systems, and instructions

A method performed by a processor comprising:

• accessing a first source complex number matrix indicted by a complex number matrix multiplication instruction, the first source complex number matrix having M rows by K columns of complex numbers;
• accessing a second source complex number matrix indicted by the complex number matrix multiplication instruction, the second source complex number matrix having K rows by N columns of complex numbers;
• performing operations corresponding to the complex number matrix multiplication instruction, including, for each row m of the M rows, and for each column n of the N columns:
• generating K complex numbers by performing K complex number multiplications of K complex numbers of the row m of the first source complex number matrix with K corresponding complex numbers of the column n of the second source complex number matrix;
• combining the K generated complex numbers to generate a complex number;
• and
• either storing the generated complex number at, or combining the generated complex number with a complex number at, a row m of M rows and a column n of N columns of a destination complex number matrix.

A system comprising:

• a dynamic random access memory (DRAM);
• and
• a processor coupled with the DRAM, the processor to perform operations corresponding to a complex number matrix multiplication instruction, the complex number matrix multiplication instruction to indicate a first source complex number matrix having M rows by K columns of complex numbers, a second source complex number matrix having K rows by N columns of complex numbers, and the operations including, for each row m of the M rows, and for each column n of the N columns, to:
• generate K complex numbers by K complex multiplications of K complex numbers of the row m of the first source complex number matrix with K corresponding complex numbers of the column n of the second source complex number matrix;
• combine the K generated complex numbers to generate a complex number;
• and
• either store the generated complex number at, or combine the generated complex number with a complex number at, a row m of M rows and a column n of N columns of a destination complex number matrix.

A non-transitory machine-readable storage medium, the non-transitory machine-readable storage medium storing a plurality of instructions including a complex number matrix multiplication instruction, the complex number matrix multiplication instruction, if executed by a machine, is to cause the machine to perform operations corresponding to the complex number matrix multiplication instruction, including to:

• access a first source complex number matrix indicted by a complex number matrix multiplication instruction, the first source complex number matrix having M rows by K columns of complex numbers, including real and imaginary components;
• access a second source complex number matrix indicted by the complex number matrix multiplication instruction, the second source complex number matrix having K rows by N columns of complex numbers, including real and imaginary components;
• perform operations corresponding to the complex number matrix multiplication instruction, including, for each row m of the M rows, and for each column n of the N columns:
• generate K complex numbers by performing K complex multiplications of K complex numbers of the row m of the first source complex number matrix with K corresponding complex numbers of the column n of the second source complex number matrix;
• combine the K generated complex numbers to generate a complex number;
• and
• either store the generated complex number at, or combine the generated complex number with a complex number at, a row m of M rows and a column n of N columns of a destination complex number matrix.