| | import torch
|
| |
|
| | def calc_mantissa(abs_x, exponent, normal_mask, MANTISSA_BITS, EXPONENT_BIAS, generator=None):
|
| | mantissa_scaled = torch.where(
|
| | normal_mask,
|
| | (abs_x / (2.0 ** (exponent - EXPONENT_BIAS)) - 1.0) * (2**MANTISSA_BITS),
|
| | (abs_x / (2.0 ** (-EXPONENT_BIAS + 1 - MANTISSA_BITS)))
|
| | )
|
| |
|
| | mantissa_scaled += torch.rand(mantissa_scaled.size(), dtype=mantissa_scaled.dtype, layout=mantissa_scaled.layout, device=mantissa_scaled.device, generator=generator)
|
| | return mantissa_scaled.floor() / (2**MANTISSA_BITS)
|
| |
|
| |
|
| | def manual_stochastic_round_to_float8(x, dtype, generator=None):
|
| | if dtype == torch.float8_e4m3fn:
|
| | EXPONENT_BITS, MANTISSA_BITS, EXPONENT_BIAS = 4, 3, 7
|
| | elif dtype == torch.float8_e5m2:
|
| | EXPONENT_BITS, MANTISSA_BITS, EXPONENT_BIAS = 5, 2, 15
|
| | else:
|
| | raise ValueError("Unsupported dtype")
|
| |
|
| | x = x.half()
|
| | sign = torch.sign(x)
|
| | abs_x = x.abs()
|
| | sign = torch.where(abs_x == 0, 0, sign)
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| |
|
| |
|
| | exponent = torch.clamp(
|
| | torch.floor(torch.log2(abs_x)) + EXPONENT_BIAS,
|
| | 0, 2**EXPONENT_BITS - 1
|
| | )
|
| |
|
| |
|
| | normal_mask = ~(exponent == 0)
|
| |
|
| | abs_x[:] = calc_mantissa(abs_x, exponent, normal_mask, MANTISSA_BITS, EXPONENT_BIAS, generator=generator)
|
| |
|
| | sign *= torch.where(
|
| | normal_mask,
|
| | (2.0 ** (exponent - EXPONENT_BIAS)) * (1.0 + abs_x),
|
| | (2.0 ** (-EXPONENT_BIAS + 1)) * abs_x
|
| | )
|
| |
|
| | inf = torch.finfo(dtype)
|
| | torch.clamp(sign, min=inf.min, max=inf.max, out=sign)
|
| | return sign
|
| |
|
| |
|
| |
|
| | def stochastic_rounding(value, dtype, seed=0):
|
| | if dtype == torch.float32:
|
| | return value.to(dtype=torch.float32)
|
| | if dtype == torch.float16:
|
| | return value.to(dtype=torch.float16)
|
| | if dtype == torch.bfloat16:
|
| | return value.to(dtype=torch.bfloat16)
|
| | if dtype == torch.float8_e4m3fn or dtype == torch.float8_e5m2:
|
| | generator = torch.Generator(device=value.device)
|
| | generator.manual_seed(seed)
|
| | output = torch.empty_like(value, dtype=dtype)
|
| | num_slices = max(1, (value.numel() / (4096 * 4096)))
|
| | slice_size = max(1, round(value.shape[0] / num_slices))
|
| | for i in range(0, value.shape[0], slice_size):
|
| | output[i:i+slice_size].copy_(manual_stochastic_round_to_float8(value[i:i+slice_size], dtype, generator=generator))
|
| | return output
|
| |
|
| | return value.to(dtype=dtype)
|
| |
|