2023-04-12 17:06:18 +00:00
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import operator
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import warnings
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from dataclasses import dataclass
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from functools import reduce # Required in Python 3
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import torch
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import bitsandbytes.functional as F
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from bitsandbytes.autograd._functions import MatmulLtState, GlobalOutlierPooler
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# math.prod not compatible with python < 3.8
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def prod(iterable):
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return reduce(operator.mul, iterable, 1)
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tensor = torch.Tensor
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class MatMulFP8Mixed(torch.autograd.Function):
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# forward is the same, but we added the fallback for pre-turing GPUs
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# backward is mostly the same, but adds one extra clause (see "elif state.CxB is not None")
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@staticmethod
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def forward(ctx, A, B, out=None, fw_code=None, bw_code=None, bsz=1024, bsz2=1024):
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# default of pytorch behavior if inputs are empty
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ctx.is_empty = False
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if prod(A.shape) == 0:
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ctx.is_empty = True
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ctx.A = A
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ctx.B = B
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B_shape = B.shape
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if A.shape[-1] == B_shape[0]:
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return torch.empty(A.shape[:-1] + B_shape[1:], dtype=A.dtype, device=A.device)
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else:
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return torch.empty(A.shape[:-1] + B_shape[:1], dtype=A.dtype, device=A.device)
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# 1. Dequantize
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# 2. MatmulnN
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cA, state = F.quantize_blockwise(A, code=fw_code, blocksize=bsz)
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fp8A = F.dequantize_blockwise(cA, state, blocksize=bsz).to(A.dtype)
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cB, state = F.quantize(B.float(), code=fw_code)
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fp8B = F.dequantize(cB, state).to(B.dtype)
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output = torch.matmul(fp8A, fp8B)
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# output is half
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# 3. Save state
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ctx.fw_code = fw_code
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ctx.bw_code = bw_code
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ctx.bsz = bsz
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ctx.bsz2 = bsz2
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ctx.dtype_A, ctx.dtype_B = A.dtype, B.dtype
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if any(ctx.needs_input_grad[:2]):
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# NOTE: we send back A, and re-quant.
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ctx.tensors = (A, fp8B)
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else:
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ctx.tensors = (None, None)
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return output
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@staticmethod
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def backward(ctx, grad_output):
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if ctx.is_empty:
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return torch.zeros_like(ctx.A), torch.zeros_like(ctx.B), None, None, None, None, None
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req_gradA, req_gradB, _, _, _, _, _ = ctx.needs_input_grad
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A, B = ctx.tensors
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grad_A, grad_B = None, None
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# TODO: Fix blocksize to be output_dim
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cgrad_out, state = F.quantize_blockwise(grad_output, code=ctx.bw_code, blocksize=ctx.bsz2)
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fp8out = F.dequantize_blockwise(cgrad_out, state, blocksize=ctx.bsz2).to(grad_output.dtype)
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# cgrad_output_2, state_2 = F.quantize(grad_output.float(), code=ctx.bw_code)
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# fp8out_2 = F.dequantize(cgrad_output_2, state_2).to(grad_output.dtype)
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# grad_output_reshape = grad_output.reshape(-1, grad_output.shape[-1]).contiguous()
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# fp8grad_transpose, stategrad_transpose = F.vectorwise_quant(grad_output_reshape, dim=0, quant_type='vector')
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# fp8out_transpose = (fp8grad_transpose / 7) * stategrad_transpose
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# fp8out_transpose = fp8out_transpose.view(grad_output.shape[0], grad_output.shape[1], grad_output.shape[2])
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# not supported by PyTorch. TODO: create work-around
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if req_gradA:
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grad_A = torch.matmul(fp8out, B.t().to(fp8out.dtype)).to(A.dtype)
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if req_gradB:
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2023-04-12 18:24:44 +00:00
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if len(A.shape) == 3:
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At = A.transpose(2, 1).contiguous()
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else:
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At = A.transpose(1, 0).contiguous()
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2023-04-12 17:06:18 +00:00
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# cA, state = F.quantize(At.float(), code=ctx.fw_code)
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# fp8At = F.dequantize(cA, state).to(A.dtype)
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grad_B = torch.matmul(At.to(grad_output.dtype), grad_output).to(B.dtype)
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return grad_A, grad_B, None, None, None, None, None
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class MatMulFP8Global(torch.autograd.Function):
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# forward is the same, but we added the fallback for pre-turing GPUs
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# backward is mostly the same, but adds one extra clause (see "elif state.CxB is not None")
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@staticmethod
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def forward(ctx, A, B, out=None, fw_code=None, bw_code=None, bsz=1024, bsz2=1024):
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# default of pytorch behavior if inputs are empty
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ctx.is_empty = False
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if prod(A.shape) == 0:
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ctx.is_empty = True
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ctx.A = A
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ctx.B = B
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B_shape = B.shape
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if A.shape[-1] == B_shape[0]:
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return torch.empty(A.shape[:-1] + B_shape[1:], dtype=A.dtype, device=A.device)
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else:
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return torch.empty(A.shape[:-1] + B_shape[:1], dtype=A.dtype, device=A.device)
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# 1. Dequantize
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# 2. MatmulnN
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cA, state = F.quantize(A.float(), code=fw_code)
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fp8A = F.dequantize(cA, state).to(A.dtype)
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cB, state = F.quantize(B.float(), code=fw_code)
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fp8B = F.dequantize(cB, state).to(B.dtype)
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output = torch.matmul(fp8A, fp8B)
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# output is half
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# 3. Save state
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ctx.fw_code = fw_code
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ctx.bw_code = bw_code
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ctx.bsz = bsz
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ctx.bsz2 = bsz2
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ctx.dtype_A, ctx.dtype_B = A.dtype, B.dtype
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if any(ctx.needs_input_grad[:2]):
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# NOTE: we send back A, and re-quant.
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ctx.tensors = (A, fp8B)
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else:
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ctx.tensors = (None, None)
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return output
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@staticmethod
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def backward(ctx, grad_output):
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if ctx.is_empty:
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return torch.zeros_like(ctx.A), torch.zeros_like(ctx.B), None, None, None, None, None
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req_gradA, req_gradB, _, _, _, _, _ = ctx.needs_input_grad
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A, B = ctx.tensors
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grad_A, grad_B = None, None
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# TODO: Fix blocksize to be output_dim
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cgrad_out, state = F.quantize(grad_output.float(), code=ctx.bw_code)
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fp8out = F.dequantize(cgrad_out, state).to(grad_output.dtype)
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# cgrad_output_2, state_2 = F.quantize(grad_output.float(), code=ctx.bw_code)
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# fp8out_2 = F.dequantize(cgrad_output_2, state_2).to(grad_output.dtype)
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# grad_output_reshape = grad_output.reshape(-1, grad_output.shape[-1]).contiguous()
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# fp8grad_transpose, stategrad_transpose = F.vectorwise_quant(grad_output_reshape, dim=0, quant_type='vector')
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# fp8out_transpose = (fp8grad_transpose / 7) * stategrad_transpose
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# fp8out_transpose = fp8out_transpose.view(grad_output.shape[0], grad_output.shape[1], grad_output.shape[2])
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# not supported by PyTorch. TODO: create work-around
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if req_gradA:
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grad_A = torch.matmul(fp8out, B.t().to(fp8out.dtype)).to(A.dtype)
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if req_gradB:
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2023-04-12 18:24:44 +00:00
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if len(A.shape) == 3:
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At = A.transpose(2, 1).contiguous()
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else:
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At = A.transpose(1, 0).contiguous()
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2023-04-12 17:06:18 +00:00
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cA, state = F.quantize(At.float(), code=ctx.fw_code)
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fp8At = F.dequantize(cA, state).to(A.dtype)
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grad_B = torch.matmul(fp8At.to(fp8out.dtype), fp8out).to(B.dtype)
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return grad_A, grad_B, None, None, None, None, None
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class MatMul8bitMixed(torch.autograd.Function):
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@staticmethod
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def forward(ctx, A, B, out=None, bias=None, state=MatmulLtState()):
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# default to pytorch behavior if inputs are empty
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ctx.is_empty = False
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if prod(A.shape) == 0:
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ctx.is_empty = True
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ctx.A = A
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ctx.B = B
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ctx.bias = bias
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if A.shape[-1] == B.shape[0]:
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return torch.empty(A.shape[:-1]+B.shape[1:], dtype=A.dtype, device=A.device)
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else:
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return torch.empty(A.shape[:-1]+B.shape[:1], dtype=A.dtype, device=A.device)
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# 1. Quantize A
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# 2. Quantize B
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# 3. Matmul
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# 4. Mixed-precision decomposition matmul
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# 5. Save state
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formatB = state.formatB
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input_shape = A.shape
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if state.outlier_pool is None:
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state.outlier_pool = GlobalOutlierPooler.get_instance()
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# Cast A to fp16
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if A.dtype != torch.float16:
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warnings.warn(f"MatMul8bitLt: inputs will be cast from {A.dtype} to float16 during quantization")
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# 1. Quantize A
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if len(A.shape) == 3:
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A = A.view(-1, A.shape[-1]).contiguous()
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CA, CAt, SCA, SCAt, coo_tensorA = F.double_quant(
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A.to(torch.float16), threshold=state.threshold
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)
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if state.threshold > 0.0 and coo_tensorA is not None:
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if state.has_fp16_weights:
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idx = torch.unique(coo_tensorA.colidx).long()
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CA[:, idx] = 0
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CAt[:, idx] = 0
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subA = A[:, idx]
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state.subB = B[:, idx].t().contiguous()
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state.idx = idx
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else:
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if state.CxB is None:
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# B in in 8-bit row-major, we can transform it back to 16-bit to extract outlier dimensions
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# we also need to convert it to the turing/ampere format
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state.CxB, state.SB = F.transform(state.CB, to_order=formatB)
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else:
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#print('A shape', A.shape)
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if not state.has_fp16_weights and state.CxB is None:
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state.CxB, state.SB = F.transform(state.CB, to_order=formatB)
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subA = None
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# 2. Quantize B
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if state.has_fp16_weights:
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#print('B shape', B.shape)
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has_grad = True if (getattr(B, "grad", None) is not None) else False
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is_transposed = not B.is_contiguous() and B.shape[0] == B.stride(1)
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if is_transposed:
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B = B.contiguous()
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if (state.is_training and not has_grad) or state.CxB is None:
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state.reset_grads()
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(
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CB,
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state.CBt,
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state.SCB,
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state.SCBt,
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coo_tensorB,
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) = F.double_quant(B.to(torch.float16))
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state.CxB, state.SB = F.transform(CB, to_order=formatB)
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else:
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has_grad = False
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if coo_tensorA is not None and not state.has_fp16_weights:
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# extract outliers
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outlier_idx = torch.unique(coo_tensorA.colidx)
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state.idx = outlier_idx
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# state.outlier_pool.add_outliers(outlier_idx, A.shape[-1])
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# if state.use_pool and state.outlier_pool.model_dim == A.shape[-1]:
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# # do not use pool for 2nd FFN layer
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# state.idx = state.outlier_pool.get_current_outlier_idx().to(A.device)
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# else:
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# state.idx = outlier_idx
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outliers = F.extract_outliers(state.CxB, state.SB, state.idx.int())
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state.subB = (
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(outliers * state.SCB.view(-1, 1) / 127.0)
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.t()
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.contiguous()
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.to(A.dtype)
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)
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CA[:, state.idx.long()] = 0
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CAt[:, state.idx.long()] = 0
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subA = A[:, state.idx.long()]
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shapeB = state.SB[0]
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if len(input_shape) == 3:
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output_shape = (input_shape[0], input_shape[1], shapeB[0])
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else:
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output_shape = (input_shape[0], shapeB[0])
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# 3. Matmul
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C32A, SA = F.transform(CA, "col32")
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out32, Sout32 = F.igemmlt(C32A, state.CxB, SA, state.SB)
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# we apply the fused bias here
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if bias is None or bias.dtype == torch.float16:
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output = F.mm_dequant(out32, Sout32, SCA, state.SCB, bias=bias)
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output = output.to(A.dtype)
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else: # apply bias separately
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output = F.mm_dequant(out32, Sout32, SCA, state.SCB, bias=None)
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output = output.to(A.dtype).add_(bias)
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# 4. Mixed-precision decomposition matmul
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if coo_tensorA is not None and subA is not None:
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output += torch.matmul(subA, state.subB)
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# 5. Save state
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ctx.state = state
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ctx.formatB = formatB
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ctx.grad_shape = input_shape
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ctx.dtype_A, ctx.dtype_B, ctx.dtype_bias = A.dtype, B.dtype, None if bias is None else bias.dtype
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if any(ctx.needs_input_grad[:2]):
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ctx.tensors = (CAt, subA, A)
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ctx.tensor_states = (SCAt, state.idx)
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else:
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ctx.tensors = [None, None, None]
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ctx.tensor_states = (None, None)
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ctx.save_for_backward(None, None)
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clone_func = torch.clone if len(output_shape) == 3 else lambda x : x
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return clone_func(output.view(output_shape))
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@staticmethod
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def backward(ctx, grad_output):
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if ctx.is_empty:
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bias_grad = (None if ctx.bias is None else torch.zeros_like(ctx.bias))
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return torch.zeros_like(ctx.A), torch.zeros_like(ctx.B), None, bias_grad, None
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req_gradA, req_gradB, _, req_gradBias, _ = ctx.needs_input_grad
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CAt, subA, A = ctx.tensors
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SCAt, idx = ctx.tensor_states
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formatB = ctx.formatB
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state = ctx.state
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grad_A = grad_B = grad_bias = None
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if req_gradBias:
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# compute grad_bias first before changing grad_output dtype
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grad_bias = grad_output.sum(0, dtype=ctx.dtype_bias)
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# Cast grad_output to fp16
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if len(grad_output.shape) == 3:
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grad_output = grad_output.reshape(
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-1, grad_output.shape[-1]
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).contiguous()
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Cgrad, Cgradt, SCgrad, SCgradt, coo_tensor = F.double_quant(grad_output.to(torch.float16))
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if req_gradB:
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|
|
# print('back A shape', A.shape)
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|
# print('grad output t shape', grad_output.t().shape)
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grad_B = torch.matmul(grad_output.t(), A)
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|
if req_gradA:
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|
if state.CBt is not None:
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|
C32grad, Sgrad = F.transform(Cgrad, "col32")
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|
|
if state.CxBt is None:
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|
state.CxBt, state.SBt = F.transform(
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state.CBt, to_order=formatB, transpose=True
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)
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|
# print('back B shape', state.CxBt.shape)
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|
|
# print('back grad shape', C32grad.shape)
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|
|
|
gradA32, SgradA32 = F.igemmlt(C32grad, state.CxBt, Sgrad, state.SBt)
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|
|
grad_A = F.mm_dequant(gradA32, SgradA32, SCgrad, state.SCBt).view(ctx.grad_shape).to(ctx.dtype_A)
|
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|
|
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|
|
|
elif state.CB is not None:
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|
|
CB = state.CB.to(ctx.dtype_A, copy=True).mul_(state.SCB.unsqueeze(1).mul(1. / 127.0))
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|
|
|
grad_A = torch.matmul(grad_output, CB).view(ctx.grad_shape).to(ctx.dtype_A)
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|
else:
|
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|
|
raise Exception('State must contain either CBt or CB matrix for backward')
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|
|
|
|
|
|
return grad_A, grad_B, None, grad_bias, None
|
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|
|
|
|
|
|
def get_block_sizes(input_matrix, weight_matrix):
|
|
|
|
input_features = input_matrix.shape[-1]
|
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|
|
output_features = (weight_matrix.shape[0] if weight_matrix.shape[1] == input_features else weight_matrix.shape[1])
|
|
|
|
array = [4096, 2048, 1024, 512, 256, 128, 64, 0]
|
|
|
|
bsz, bsz2 = 1024, 1024
|
|
|
|
for i, k in enumerate(array):
|
|
|
|
if input_features > array[i + 1]:
|
|
|
|
bsz = k
|
|
|
|
break
|
|
|
|
for i, k in enumerate(array):
|
|
|
|
if output_features > array[i + 1]:
|
|
|
|
bsz2 = k
|
|
|
|
break
|
|
|
|
|
|
|
|
return bsz, bsz2
|
|
|
|
|
|
|
|
def matmul_fp8_global(A: tensor, B: tensor, fw_code: tensor, bw_code: tensor, out: tensor = None, bsz : int = -1, bsz2 : int = -1):
|
|
|
|
if bsz == -1 or bsz2 == -1: bsz, bsz2 = get_block_sizes(A, B)
|
|
|
|
return MatMulFP8Global.apply(A, B, out, fw_code, bw_code, bsz, bsz2)
|
|
|
|
|
|
|
|
def matmul_fp8_mixed(A: tensor, B: tensor, fw_code: tensor, bw_code: tensor, out: tensor = None, bsz : int = -1, bsz2 : int = -1):
|
|
|
|
if bsz == -1 or bsz2 == -1: bsz, bsz2 = get_block_sizes(A, B)
|
|
|
|
return MatMulFP8Mixed.apply(A, B, out, fw_code, bw_code, bsz, bsz2)
|
|
|
|
|
|
|
|
def switchback_bnb(
|
|
|
|
A: tensor,
|
|
|
|
B: tensor,
|
|
|
|
out: tensor = None,
|
|
|
|
state: MatmulLtState = None,
|
|
|
|
threshold=0.0,
|
|
|
|
bias=None
|
|
|
|
):
|
|
|
|
state = state or MatmulLtState()
|
|
|
|
if threshold > 0.0:
|
|
|
|
state.threshold = threshold
|
|
|
|
return MatMul8bitMixed.apply(A, B, out, bias, state)
|