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blas/gemm: Update blas/gemm fp16 and fp8 implementations
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@@ -3,7 +3,8 @@ | |
# Licensed under the Apache License, Version 2.0, see LICENSE for details. | ||
# SPDX-License-Identifier: Apache-2.0 | ||
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||
# Author: Tim Fischer <[email protected]> | ||
# Authors: Tim Fischer <[email protected]> | ||
# Luca Bertaccini <[email protected]> | ||
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||
import numpy as np | ||
import argparse | ||
|
@@ -15,20 +16,32 @@ | |
C_TYPES = { | ||
'64': 'double', | ||
'32': 'float', | ||
'16': '__fp16' | ||
'16': '__fp16', | ||
'8': 'char' | ||
} | ||
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||
NUMPY_TYPES = { | ||
'64': np.double, | ||
'32': np.single, | ||
'16': np.half | ||
'16': np.half, | ||
'8': np.ubyte | ||
} | ||
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||
FP8_FORMATS = { | ||
'fp8': {'exp': 5, 'mant': 2}, | ||
'fp8alt': {'exp': 4, 'mant': 3} | ||
} | ||
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||
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||
def format_vector_definition(id, vector, typ): | ||
s = f'{typ} {id}[{len(vector)}] = ' + '{\n' | ||
for i, el in enumerate(vector): | ||
s += f'\t{el},' | ||
if typ != 'char': | ||
s += f'\t{el},' | ||
else: | ||
if type(el) == float: | ||
print(el) | ||
s += f'0x{el:02x},' | ||
if i % 8 == 7: | ||
s += '\n' | ||
s += '};' | ||
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@@ -58,10 +71,40 @@ def emit_gemm_data(**kwargs): | |
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# Generate random input matrices | ||
dtype = NUMPY_TYPES[str(kwargs['prec'])] | ||
a = np.random.rand(kwargs['M'], kwargs['K']).astype(dtype) | ||
b = np.random.rand(kwargs['K'], kwargs['N']).astype(dtype) | ||
c = np.random.rand(kwargs['M'], kwargs['N']).astype(dtype) | ||
result = np.matmul(a, b) + kwargs['alpha'] * c | ||
if (kwargs['prec']) == 8: | ||
# sign -1 or 1 | ||
sign_a = np.random.randint(0, 2, (kwargs['M'], kwargs['K'])).astype(dtype) | ||
# esponent < 0b01111 | ||
exponent_a = np.random.randint(0, 16, (kwargs['M'], kwargs['K'])).astype(dtype) | ||
# mantissa can be arbitrary | ||
mantissa_a = np.random.randint(0, 4, (kwargs['M'], kwargs['K'])).astype(dtype) | ||
# sign -1 or 1 | ||
sign_b = np.random.randint(0, 2, (kwargs['K'], kwargs['N'])).astype(dtype) | ||
# esponent < 0b01111 | ||
exponent_b = np.random.randint(0, 16, (kwargs['K'], kwargs['N'])).astype(dtype) | ||
# mantissa can be arbitrary | ||
mantissa_b = np.random.randint(0, 4, (kwargs['K'], kwargs['N'])).astype(dtype) | ||
# sign -1 or 1 | ||
sign_c = np.random.randint(0, 2, (kwargs['M'], kwargs['N'])).astype(dtype) | ||
# esponent < 0b01111 | ||
exponent_c = np.random.randint(0, 16, (kwargs['M'], kwargs['N'])).astype(dtype) | ||
# mantissa can be arbitrary | ||
mantissa_c = np.random.randint(0, 4, (kwargs['M'], kwargs['N'])).astype(dtype) | ||
_a = ((-1.0)**sign_a.astype(np.double))*(2.0**(exponent_a.astype(np.double)-15.0)) \ | ||
* (1.0 + mantissa_a.astype(np.double) / (2**2)) | ||
_b = ((-1.0)**sign_b.astype(np.double))*(2.0**(exponent_b.astype(np.double)-15.0)) \ | ||
* (1.0 + mantissa_b.astype(np.double) / (2**2)) | ||
_c = ((-1.0)**sign_c.astype(np.double))*(2.0**(exponent_c.astype(np.double)-15.0)) \ | ||
* (1.0 + mantissa_c.astype(np.double) / (2**2)) | ||
result = np.matmul(_a, _b) + kwargs['alpha'] * _c | ||
a = sign_a << 7 | exponent_a << FP8_FORMATS['fp8']['mant'] | mantissa_a | ||
b = sign_b << 7 | exponent_b << FP8_FORMATS['fp8']['mant'] | mantissa_b | ||
c = sign_c << 7 | exponent_c << FP8_FORMATS['fp8']['mant'] | mantissa_c | ||
else: | ||
a = np.random.rand(kwargs['M'], kwargs['K']).astype(dtype) | ||
b = np.random.rand(kwargs['K'], kwargs['N']).astype(dtype) | ||
c = np.random.rand(kwargs['M'], kwargs['N']).astype(dtype) | ||
result = np.matmul(a, b) + kwargs['alpha'] * c | ||
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||
# Store matrices in transposed form if requested | ||
a = a.T if kwargs['ta'] else a | ||
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@@ -79,7 +122,12 @@ def emit_gemm_data(**kwargs): | |
data_str += [format_vector_definition('a', a.flatten(), C_TYPES[str(kwargs['prec'])])] | ||
data_str += [format_vector_definition('b', b.flatten(), C_TYPES[str(kwargs['prec'])])] | ||
data_str += [format_vector_definition('c', c.flatten(), C_TYPES[str(kwargs['prec'])])] | ||
data_str += [format_vector_definition('result', result.flatten(), C_TYPES[str(kwargs['prec'])])] | ||
if kwargs['prec'] == 8: | ||
data_str += [format_vector_definition('result', result.flatten(), C_TYPES['64'])] | ||
else: | ||
data_str += [format_vector_definition('result', | ||
result.flatten(), | ||
C_TYPES[str(kwargs['prec'])])] | ||
data_str = '\n\n'.join(data_str) | ||
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||
return data_str | ||
|
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@@ -3,9 +3,9 @@ | |
// SPDX-License-Identifier: Apache-2.0 | ||
// | ||
// Author: Tim Fischer <[email protected]> | ||
// Luca Bertaccini <[email protected]> | ||
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#include <stdint.h> | ||
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#include "snrt.h" | ||
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typedef float v2f32 __attribute__((vector_size(8))); | ||
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@@ -383,23 +383,41 @@ void gemm_fp16_opt(uint32_t M, uint32_t N, uint32_t K, __fp16* A, uint32_t ldA, | |
"lw %[alpha], 0(%[ALPHA]) \n" | ||
"beqz %[alpha], 1f \n" | ||
// Load intermediate results | ||
"flw %[c0], 0(%[C]) \n" | ||
"flw %[c1], 4(%[C]) \n" | ||
"flw %[c2], 8(%[C]) \n" | ||
"flw %[c3], 12(%[C]) \n" | ||
"flw %[c4], 16(%[C]) \n" | ||
"flw %[c5], 20(%[C]) \n" | ||
"flw %[c6], 24(%[C]) \n" | ||
"flw %[c7], 28(%[C]) \n" | ||
"flh %[reduce_reg0], 0(%[C]) \n" | ||
"flh %[reduce_reg1], 2(%[C]) \n" | ||
"flh %[reduce_reg2], 4(%[C]) \n" | ||
"flh %[reduce_reg3], 6(%[C]) \n" | ||
"flh %[reduce_reg4], 8(%[C]) \n" | ||
"flh %[reduce_reg5], 10(%[C]) \n" | ||
"flh %[reduce_reg6], 12(%[C]) \n" | ||
"flh %[reduce_reg7], 14(%[C]) \n" | ||
// Convert intermediate results before packing | ||
"vfcvt.s.h %[reduce_reg0], %[reduce_reg0]\n" | ||
"vfcvt.s.h %[reduce_reg1], %[reduce_reg1]\n" | ||
"vfcvt.s.h %[reduce_reg2], %[reduce_reg2]\n" | ||
"vfcvt.s.h %[reduce_reg3], %[reduce_reg3]\n" | ||
"vfcvt.s.h %[reduce_reg4], %[reduce_reg4]\n" | ||
"vfcvt.s.h %[reduce_reg5], %[reduce_reg5]\n" | ||
"vfcvt.s.h %[reduce_reg6], %[reduce_reg6]\n" | ||
"vfcvt.s.h %[reduce_reg7], %[reduce_reg7]\n" | ||
// Initialize reduce register to zero | ||
"vfcpka.s.s %[c0], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c1], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c2], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c3], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c4], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c5], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c6], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c7], %[zero], %[zero]\n" | ||
// Pack intermediate results into SIMD vector | ||
"vfcpka.s.s %[c0], %[c0], %[zero]\n" | ||
"vfcpka.s.s %[c1], %[c1], %[zero]\n" | ||
"vfcpka.s.s %[c2], %[c2], %[zero]\n" | ||
"vfcpka.s.s %[c3], %[c3], %[zero]\n" | ||
"vfcpka.s.s %[c4], %[c4], %[zero]\n" | ||
"vfcpka.s.s %[c5], %[c5], %[zero]\n" | ||
"vfcpka.s.s %[c6], %[c6], %[zero]\n" | ||
"vfcpka.s.s %[c7], %[c7], %[zero]\n" | ||
"vfcpka.h.s %[c0], %[reduce_reg0], %[zero]\n" | ||
"vfcpka.h.s %[c1], %[reduce_reg1], %[zero]\n" | ||
"vfcpka.h.s %[c2], %[reduce_reg2], %[zero]\n" | ||
"vfcpka.h.s %[c3], %[reduce_reg3], %[zero]\n" | ||
"vfcpka.h.s %[c4], %[reduce_reg4], %[zero]\n" | ||
"vfcpka.h.s %[c5], %[reduce_reg5], %[zero]\n" | ||
"vfcpka.h.s %[c6], %[reduce_reg6], %[zero]\n" | ||
"vfcpka.h.s %[c7], %[reduce_reg7], %[zero]\n" | ||
"j 2f \n" | ||
"1: \n" | ||
// Initialize SIMD vector with zeros | ||
|
@@ -548,24 +566,41 @@ void gemm_fp16_ex_opt(uint32_t M, uint32_t N, uint32_t K, __fp16* A, | |
asm volatile( | ||
"lw %[alpha], 0(%[ALPHA]) \n" | ||
"beqz %[alpha], 1f \n" | ||
// Load intermediate results | ||
"flw %[c0], 0(%[C]) \n" | ||
"flw %[c1], 4(%[C]) \n" | ||
"flw %[c2], 8(%[C]) \n" | ||
"flw %[c3], 12(%[C]) \n" | ||
"flw %[c4], 16(%[C]) \n" | ||
"flw %[c5], 20(%[C]) \n" | ||
"flw %[c6], 24(%[C]) \n" | ||
"flw %[c7], 28(%[C]) \n" | ||
"flh %[reduce_reg0], 0(%[C]) \n" | ||
"flh %[reduce_reg1], 2(%[C]) \n" | ||
"flh %[reduce_reg2], 4(%[C]) \n" | ||
"flh %[reduce_reg3], 6(%[C]) \n" | ||
"flh %[reduce_reg4], 8(%[C]) \n" | ||
"flh %[reduce_reg5], 10(%[C]) \n" | ||
"flh %[reduce_reg6], 12(%[C]) \n" | ||
"flh %[reduce_reg7], 14(%[C]) \n" | ||
// Convert intermediate results before packing | ||
"vfcvt.s.h %[reduce_reg0], %[reduce_reg0]\n" | ||
"vfcvt.s.h %[reduce_reg1], %[reduce_reg1]\n" | ||
"vfcvt.s.h %[reduce_reg2], %[reduce_reg2]\n" | ||
"vfcvt.s.h %[reduce_reg3], %[reduce_reg3]\n" | ||
"vfcvt.s.h %[reduce_reg4], %[reduce_reg4]\n" | ||
"vfcvt.s.h %[reduce_reg5], %[reduce_reg5]\n" | ||
"vfcvt.s.h %[reduce_reg6], %[reduce_reg6]\n" | ||
"vfcvt.s.h %[reduce_reg7], %[reduce_reg7]\n" | ||
// Initialize reduce register to zero | ||
"vfcpka.s.s %[c0], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c1], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c2], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c3], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c4], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c5], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c6], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c7], %[zero], %[zero]\n" | ||
// Pack intermediate results into SIMD vector | ||
"vfcpka.s.s %[c0], %[c0], %[zero]\n" | ||
"vfcpka.s.s %[c1], %[c1], %[zero]\n" | ||
"vfcpka.s.s %[c2], %[c2], %[zero]\n" | ||
"vfcpka.s.s %[c3], %[c3], %[zero]\n" | ||
"vfcpka.s.s %[c4], %[c4], %[zero]\n" | ||
"vfcpka.s.s %[c5], %[c5], %[zero]\n" | ||
"vfcpka.s.s %[c6], %[c6], %[zero]\n" | ||
"vfcpka.s.s %[c7], %[c7], %[zero]\n" | ||
"vfcpka.s.s %[c0], %[reduce_reg0], %[zero]\n" | ||
"vfcpka.s.s %[c1], %[reduce_reg1], %[zero]\n" | ||
"vfcpka.s.s %[c2], %[reduce_reg2], %[zero]\n" | ||
"vfcpka.s.s %[c3], %[reduce_reg3], %[zero]\n" | ||
"vfcpka.s.s %[c4], %[reduce_reg4], %[zero]\n" | ||
"vfcpka.s.s %[c5], %[reduce_reg5], %[zero]\n" | ||
"vfcpka.s.s %[c6], %[reduce_reg6], %[zero]\n" | ||
"vfcpka.s.s %[c7], %[reduce_reg7], %[zero]\n" | ||
"j 2f \n" | ||
"1: \n" | ||
// Initialize SIMD vector with zeros | ||
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@@ -696,6 +731,45 @@ void gemm_fp8_ex_opt(uint32_t M, uint32_t N, uint32_t K, char* A, uint32_t ldA, | |
uint32_t alpha; | ||
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asm volatile( | ||
"lw %[alpha], 0(%[ALPHA]) \n" | ||
"beqz %[alpha], 1f \n" | ||
"flb %[reduce_reg0], 0(%[C]) \n" | ||
"flb %[reduce_reg1], 1(%[C]) \n" | ||
"flb %[reduce_reg2], 2(%[C]) \n" | ||
"flb %[reduce_reg3], 3(%[C]) \n" | ||
"flb %[reduce_reg4], 4(%[C]) \n" | ||
"flb %[reduce_reg5], 5(%[C]) \n" | ||
"flb %[reduce_reg6], 6(%[C]) \n" | ||
"flb %[reduce_reg7], 7(%[C]) \n" | ||
// Convert intermediate results before packing | ||
"vfcvt.s.b %[reduce_reg0], %[reduce_reg0]\n" | ||
"vfcvt.s.b %[reduce_reg1], %[reduce_reg1]\n" | ||
"vfcvt.s.b %[reduce_reg2], %[reduce_reg2]\n" | ||
"vfcvt.s.b %[reduce_reg3], %[reduce_reg3]\n" | ||
"vfcvt.s.b %[reduce_reg4], %[reduce_reg4]\n" | ||
"vfcvt.s.b %[reduce_reg5], %[reduce_reg5]\n" | ||
"vfcvt.s.b %[reduce_reg6], %[reduce_reg6]\n" | ||
"vfcvt.s.b %[reduce_reg7], %[reduce_reg7]\n" | ||
// Initialize reduce register to zero | ||
"vfcpka.s.s %[c0], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c1], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c2], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c3], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c4], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c5], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c6], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c7], %[zero], %[zero]\n" | ||
// Pack intermediate results into SIMD vector | ||
"vfcpka.h.s %[c0], %[reduce_reg0], %[zero]\n" | ||
"vfcpka.h.s %[c1], %[reduce_reg1], %[zero]\n" | ||
"vfcpka.h.s %[c2], %[reduce_reg2], %[zero]\n" | ||
"vfcpka.h.s %[c3], %[reduce_reg3], %[zero]\n" | ||
"vfcpka.h.s %[c4], %[reduce_reg4], %[zero]\n" | ||
"vfcpka.h.s %[c5], %[reduce_reg5], %[zero]\n" | ||
"vfcpka.h.s %[c6], %[reduce_reg6], %[zero]\n" | ||
"vfcpka.h.s %[c7], %[reduce_reg7], %[zero]\n" | ||
"j 2f \n" | ||
"1: \n" | ||
// Initialize SIMD vector with zeros | ||
"vfcpka.s.s %[c0], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c1], %[zero], %[zero]\n" | ||
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@@ -705,6 +779,7 @@ void gemm_fp8_ex_opt(uint32_t M, uint32_t N, uint32_t K, char* A, uint32_t ldA, | |
"vfcpka.s.s %[c5], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c6], %[zero], %[zero]\n" | ||
"vfcpka.s.s %[c7], %[zero], %[zero]\n" | ||
"2: \n" | ||
// Perform expanding sum-dotproducts | ||
"frep.o %[n_frep], 8, 0, 0 \n" | ||
"vfdotpex.h.b %[c0], ft1, ft0 \n" | ||
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@@ -733,11 +808,35 @@ void gemm_fp8_ex_opt(uint32_t M, uint32_t N, uint32_t K, char* A, uint32_t ldA, | |
"vfsumex.s.h %[reduce_reg5], %[c5] \n" | ||
"vfsumex.s.h %[reduce_reg6], %[c6] \n" | ||
"vfsumex.s.h %[reduce_reg7], %[c7] \n" | ||
// | ||
// Initialize reduce register to zero | ||
"vfcpka.s.s %[c0], %[zero], %[zero] \n" | ||
"vfcpka.s.s %[c1], %[zero], %[zero] \n" | ||
"vfcpka.s.s %[c2], %[zero], %[zero] \n" | ||
"vfcpka.s.s %[c3], %[zero], %[zero] \n" | ||
"vfcpka.s.s %[c4], %[zero], %[zero] \n" | ||
"vfcpka.s.s %[c5], %[zero], %[zero] \n" | ||
"vfcpka.s.s %[c6], %[zero], %[zero] \n" | ||
"vfcpka.s.s %[c7], %[zero], %[zero] \n" | ||
// Sum-reduce vector | ||
"vfsum.s %[c0], %[reduce_reg0] \n" | ||
"vfsum.s %[c1], %[reduce_reg1] \n" | ||
"vfsum.s %[c2], %[reduce_reg2] \n" | ||
"vfsum.s %[c3], %[reduce_reg3] \n" | ||
"vfsum.s %[c4], %[reduce_reg4] \n" | ||
"vfsum.s %[c5], %[reduce_reg5] \n" | ||
"vfsum.s %[c6], %[reduce_reg6] \n" | ||
"vfsum.s %[c7], %[reduce_reg7] \n" | ||
// Pack and convert results to FP8 vectors | ||
"vfcpka.b.s %[c0], %[reduce_reg0], %[reduce_reg1] \n" | ||
"vfcpkb.b.s %[c0], %[reduce_reg2], %[reduce_reg3] \n" | ||
"vfcpkc.b.s %[c0], %[reduce_reg4], %[reduce_reg5] \n" | ||
"vfcpkd.b.s %[c0], %[reduce_reg6], %[reduce_reg7] \n" | ||
"vfcpka.b.s %[c0], %[c0], %[c1] \n" | ||
"vfcpkb.b.s %[c0], %[c2], %[c3] \n" | ||
"vfcpkc.b.s %[c0], %[c4], %[c5] \n" | ||
"vfcpkd.b.s %[c0], %[c6], %[c7] \n" | ||
// // // Pack and convert results to FP8 vectors | ||
// "vfcpka.b.s %[c0], %[reduce_reg0], %[reduce_reg1] \n" | ||
// "vfcpkb.b.s %[c0], %[reduce_reg2], %[reduce_reg3] \n" | ||
// "vfcpkc.b.s %[c0], %[reduce_reg4], %[reduce_reg5] \n" | ||
// "vfcpkd.b.s %[c0], %[reduce_reg6], %[reduce_reg7] \n" | ||
: [ c0 ] "+f"(c[0]), [ c1 ] "+f"(c[1]), [ c2 ] "+f"(c[2]), | ||
[ c3 ] "+f"(c[3]), [ c4 ] "+f"(c[4]), [ c5 ] "+f"(c[5]), | ||
[ c6 ] "+f"(c[6]), [ c7 ] "+f"(c[7]), [ alpha ] "=r"(alpha), | ||
|