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Arbitrary-precision floating-point pipelined matrix multiplication implementation

Supports matrices with arbitrary widths and heights with arbitrary-precision floating-point numbers.

Project structure

  • src/: Contains module implementations and headers.
    • float_*.v & float_macros.vh: Implmements the floating-point addition and the multiplication.
    • vec_*.v & vec_macros.vh: Implements the vector addition and the dot product.
    • mat_*.v & mat_macros.vh: Implements the matrix multiplication.
  • tb/: Contains testbenches.

Common module parameters (See *_macros.vh)

  • EXP_WIDTH: Number of exponent bits
  • MAN_WIDTH: Number of mantissa bits
  • BIAS: The bias of the exponent (e.g. -127 in IEEE 754 FP32 format, -1023 in IEEE 754 FP64 format)
  • VEC_SIZE: Number of elements in the vector

Macros (See *_macros.vh)

  • FLOAT_WIDTH: Total number of bits to represent one single floating-point number
  • VEC_WIDTH(size): Total number of bits to represent one single vector with the size size
  • VEC_SELECT(idx): The bit range assigned to the element with the given index idx
  • MAT_WIDTH(height, width): Total number of bits to represent one single matrix with height rows and width columns
  • MAT_SELECT(i, j): The bit range assigned to the element M_ij

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Floating-point matrix multiplication implementation (arbitrary precision)

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