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Appendix A: Vector Assembly Code Examples

The following are provided as non-normative text to help explain the vector ISA.

Vector-vector add example

    # vector-vector add routine of 32-bit integers
    # void vvaddint32(size_t n, const int*x, const int*y, int*z)
    # { for (size_t i=0; i<n; i++) { z[i]=x[i]+y[i]; } }
    #
    # a0 = n, a1 = x, a2 = y, a3 = z
    # Non-vector instructions are indented
vvaddint32:
    vsetvli t0, a0, e32 # Set vector length based on 32-bit vectors
    vlw.v v0, (a1)           # Get first vector
      sub a0, a0, t0         # Decrement number done
      slli t0, t0, 2         # Multiply number done by 4 bytes
      add a1, a1, t0         # Bump pointer
    vlw.v v1, (a2)           # Get second vector
      add a2, a2, t0         # Bump pointer
    vadd.vv v2, v0, v1        # Sum vectors
    vsw.v v2, (a3)           # Store result
      add a3, a3, t0         # Bump pointer
      bnez a0, vvaddint32    # Loop back
      ret                    # Finished

Example with mixed-width mask and compute.

# Code using one width for predicate and different width for masked
# compute.
#   int8_t a[]; int32_t b[], c[];
#   for (i=0;  i<n; i++) { b[i] =  (a[i] < 5) ? c[i] : 1; }
#
# Mixed-width code that keeps SEW/LMUL=8
  loop:
    vsetvli a4, a0, e8,m1  # Byte vector for predicate calc
    vlb.v v1, (a1)                # Load a[i]
      add a1, a1, a4              # Bump pointer.
    vslt.vi v0, v1, 5             # a[i] < 5?

    vsetvli x0, a0, e32,m4 # Vector of 32-bit values.
      sub a0, a0, a4              # Decrement count
    vmv.v.i v4, 1                 # Splat immediate to destination
    vlw.v v4, (a3), v0.t          # Load requested elements of C.
      sll t1, a4, 2
      add a3, a3, t1              # Bump pointer.
    vsw.v v4, (a2)                # Store b[i].
      add a2, a2, t1              # Bump pointer.
      bnez a0, loop               # Any more?

Memcpy example

    # void *memcpy(void* dest, const void* src, size_t n)
    # a0=dest, a1=src, a2=n
    #
  memcpy:
      mv a3, a0 # Copy destination
  loop:
    vsetvli t0, a2, e8,m8  # Vectors of 8b
    vlb.v v0, (a1)                # Load bytes
      add a1, a1, t0              # Bump pointer
      sub a2, a2, t0              # Decrement count
    vsb.v v0, (a3)                # Store bytes
      add a3, a3, t0              # Bump pointer
      bnez a2, loop               # Any more?
      ret                         # Return

Conditional example

# (int16) z[i] = ((int8) x[i] < 5) ? (int16) a[i] : (int16) b[i];
#
# Fixed 16b SEW:

loop:
    vsetvli t0, a0, e16  # Use 16b elements.
    vlb.v v0, (a1)          # Get x[i], sign-extended to 16b
      sub a0, a0, t0        # Decrement element count
      add a1, a1, t0        # x[i] Bump pointer
    vslt.vi v0, v0, 5       # Set mask in v0
      slli t0, t0, 1        # Multiply by 2 bytes
    vlh.v v1, (a2), v0.t    # z[i] = a[i] case
    vmnot.m v0, v0          # Invert v0
      add a2, a2, t0        # a[i] bump pointer
    vlh.v v1, (a3), v0.t    # z[i] = b[i] case
      add a3, a3, t0        # b[i] bump pointer
    vsh.v v1, (a4)          # Store z
      add a4, a4, t0        # b[i] bump pointer
      bnez a0, loop

SAXPY example

# void
# saxpy(size_t n, const float a, const float *x, float *y)
# {
#   size_t i;
#   for (i=0; i<n; i++)
#     y[i] = a * x[i] + y[i];
# }
#
# register arguments:
#     a0      n
#     fa0     a
#     a1      x
#     a2      y

saxpy:
    vsetvli a4, a0, e32, m8
    vlw.v v0, (a1)
    sub a0, a0, a4
    slli a4, a4, 2
    add a1, a1, a4
    vlw.v v8, (a2)
    vfmacc.vf v8, fa0, v0
    vsw.v v8, (a2)
    add a2, a2, a4
    bnez a0, saxpy
    ret

SGEMM example

# RV64IDV system
#
# void
# sgemm_nn(size_t n,
#          size_t m,
#          size_t k,
#          const float*a,   // m * k matrix
#          size_t lda,
#          const float*b,   // k * n matrix
#          size_t ldb,
#          float*c,         // m * n matrix
#          size_t ldc)
#
#  c += a*b (alpha=1, no transpose on input matrices)
#  matrices stored in C row-major order

#define n a0
#define m a1
#define k a2
#define ap a3
#define astride a4
#define bp a5
#define bstride a6
#define cp a7
#define cstride t0
#define kt t1
#define nt t2
#define bnp t3
#define cnp t4
#define akp t5
#define bkp s0
#define nvl s1
#define ccp s2
#define amp s3

# Use args as additional temporaries
#define ft12 fa0
#define ft13 fa1
#define ft14 fa2
#define ft15 fa3

# This version holds a 16*VLMAX block of C matrix in vector registers
# in inner loop, but otherwise does not cache or TLB tiling.

sgemm_nn:
    addi sp, sp, -FRAMESIZE
    sd s0, OFFSET(sp)
    sd s1, OFFSET(sp)
    sd s2, OFFSET(sp)

    # Check for zero size matrices
    beqz n, exit
    beqz m, exit
    beqz k, exit

    # Convert elements strides to byte strides.
    ld cstride, OFFSET(sp)   # Get arg from stack frame
    slli astride, astride, 2
    slli bstride, bstride, 2
    slli cstride, cstride, 2

    slti t6, m, 16
    bnez t6, end_rows

c_row_loop: # Loop across rows of C blocks

    mv nt, n  # Initialize n counter for next row of C blocks

    mv bnp, b # Initialize B n-loop pointer to start
    mv cnp, c # Initialize C n-loop pointer

c_col_loop: # Loop across one row of C blocks
    vsetvli nvl, nt, e32  # 32-bit vectors, LMUL=1

    mv akp, a   # reset pointer into A to beginning
    mv bkp, bnp # step to next column in B matrix

    # Initalize current C submatrix block from memory.
    vlw.v  v0, (cnp); add ccp, cnp, cstride;
    vlw.v  v1, (ccp); add ccp, ccp, cstride;
    vlw.v  v2, (ccp); add ccp, ccp, cstride;
    vlw.v  v3, (ccp); add ccp, ccp, cstride;
    vlw.v  v4, (ccp); add ccp, ccp, cstride;
    vlw.v  v5, (ccp); add ccp, ccp, cstride;
    vlw.v  v6, (ccp); add ccp, ccp, cstride;
    vlw.v  v7, (ccp); add ccp, ccp, cstride;
    vlw.v  v8, (ccp); add ccp, ccp, cstride;
    vlw.v  v9, (ccp); add ccp, ccp, cstride;
    vlw.v v10, (ccp); add ccp, ccp, cstride;
    vlw.v v11, (ccp); add ccp, ccp, cstride;
    vlw.v v12, (ccp); add ccp, ccp, cstride;
    vlw.v v13, (ccp); add ccp, ccp, cstride;
    vlw.v v14, (ccp); add ccp, ccp, cstride;
    vlw.v v15, (ccp)


    mv kt, k # Initialize inner loop counter

    # Inner loop scheduled assuming 4-clock occupancy of vfmacc instruction and single-issue pipeline
    # Software pipeline loads
    flw ft0, (akp); add amp, akp, astride;
    flw ft1, (amp); add amp, amp, astride;
    flw ft2, (amp); add amp, amp, astride;
    flw ft3, (amp); add amp, amp, astride;
    # Get vector from B matrix
    vlw.v v16, (bkp)

    # Loop on inner dimension for current C block
 k_loop:
    vfmacc.vf v0, ft0, v16
    add bkp, bkp, bstride
    flw ft4, (amp)
    add amp, amp, astride
    vfmacc.vf v1, ft1, v16
    addi kt, kt, -1    # Decrement k counter
    flw ft5, (amp)
    add amp, amp, astride
    vfmacc.vf v2, ft2, v16
    flw ft6, (amp)
    add amp, amp, astride
    flw ft7, (amp)
    vfmacc.vf v3, ft3, v16
    add amp, amp, astride
    flw ft8, (amp)
    add amp, amp, astride
    vfmacc.vf v4, ft4, v16
    flw ft9, (amp)
    add amp, amp, astride
    vfmacc.vf v5, ft5, v16
    flw ft10, (amp)
    add amp, amp, astride
    vfmacc.vf v6, ft6, v16
    flw ft11, (amp)
    add amp, amp, astride
    vfmacc.vf v7, ft7, v16
    flw ft12, (amp)
    add amp, amp, astride
    vfmacc.vf v8, ft8, v16
    flw ft13, (amp)
    add amp, amp, astride
    vfmacc.vf v9, ft9, v16
    flw ft14, (amp)
    add amp, amp, astride
    vfmacc.vf v10, ft10, v16
    flw ft15, (amp)
    add amp, amp, astride
    addi akp, akp, 4            # Move to next column of a
    vfmacc.vf v11, ft11, v16
    beqz kt, 1f                 # Don't load past end of matrix
    flw ft0, (akp)
    add amp, akp, astride
1:  vfmacc.vf v12, ft12, v16
    beqz kt, 1f
    flw ft1, (amp)
    add amp, amp, astride
1:  vfmacc.vf v13, ft13, v16
    beqz kt, 1f
    flw ft2, (amp)
    add amp, amp, astride
1:  vfmacc.vf v14, ft14, v16
    beqz kt, 1f                 # Exit out of loop
    flw ft3, (amp)
    add amp, amp, astride
    vfmacc.vf v15, ft15, v16
    vlw.v v16, (bkp)            # Get next vector from B matrix, overlap loads with jump stalls
    j k_loop

1:  vfmacc.vf v15, ft15, v16

    # Save C matrix block back to memory
    vsw.v  v0, (cnp); add ccp, cnp, cstride;
    vsw.v  v1, (ccp); add ccp, ccp, cstride;
    vsw.v  v2, (ccp); add ccp, ccp, cstride;
    vsw.v  v3, (ccp); add ccp, ccp, cstride;
    vsw.v  v4, (ccp); add ccp, ccp, cstride;
    vsw.v  v5, (ccp); add ccp, ccp, cstride;
    vsw.v  v6, (ccp); add ccp, ccp, cstride;
    vsw.v  v7, (ccp); add ccp, ccp, cstride;
    vsw.v  v8, (ccp); add ccp, ccp, cstride;
    vsw.v  v9, (ccp); add ccp, ccp, cstride;
    vsw.v v10, (ccp); add ccp, ccp, cstride;
    vsw.v v11, (ccp); add ccp, ccp, cstride;
    vsw.v v12, (ccp); add ccp, ccp, cstride;
    vsw.v v13, (ccp); add ccp, ccp, cstride;
    vsw.v v14, (ccp); add ccp, ccp, cstride;
    vsw.v v15, (ccp)

    # Following tail instructions should be scheduled earlier in free slots during C block save.
    # Leaving here for clarity.

    # Bump pointers for loop across blocks in one row
    slli t6, nvl, 2
    add cnp, cnp, t6                         # Move C block pointer over
    add bnp, bnp, t6                         # Move B block pointer over
    sub nt, nt, nvl                          # Decrement element count in n dimension
    bnez nt, c_col_loop                      # Any more to do?

    # Move to next set of rows
    addi m, m, -16  # Did 16 rows above
    slli t6, astride, 4  # Multiply astride by 16
    add a, a, t6         # Move A matrix pointer down 16 rows
    slli t6, cstride, 4  # Multiply cstride by 16
    add c, c, t6         # Move C matrix pointer down 16 rows

    slti t6, m, 16
    beqz t6, c_row_loop

    # Handle end of matrix with fewer than 16 rows.
    # Can use smaller versions of above decreasing in powers-of-2 depending on code-size concerns.
end_rows:
    # Not done.

exit:
    ld s0, OFFSET(sp)
    ld s1, OFFSET(sp)
    ld s2, OFFSET(sp)
    addi sp, sp, FRAMESIZE
    ret