# SPDX-FileCopyrightText: Copyright (c) 2026 MiniMax # SPDX-License-Identifier: MIT import math import hashlib import inspect from typing import Type, Callable, Optional, Tuple, overload import cutlass import cutlass.cute as cute from cutlass import Float32, const_expr from cutlass.cutlass_dsl import T, dsl_user_op from cutlass._mlir.dialects import nvvm, llvm from cutlass.cute.runtime import from_dlpack from ...quack import activation _MIXER_ATTRS = ("__vec_size__",) # Obtained from sollya: # fpminimax(exp(x * log(2.0)), 1, [|1,24...|],[0;1],relative); POLY_EX2 = { 0: (1.0), 1: ( 1.0, 0.922497093677520751953125, ), 2: ( 1.0, 0.6657850742340087890625, 0.330107033252716064453125, ), 3: ( 1.0, 0.695146143436431884765625, 0.227564394474029541015625, 0.077119089663028717041015625, ), 4: ( 1.0, 0.693042695522308349609375, 0.2412912547588348388671875, 5.2225358784198760986328125e-2, 1.3434938155114650726318359375e-2, ), 5: ( 1.0, 0.693151414394378662109375, 0.24016360938549041748046875, 5.5802188813686370849609375e-2, 9.01452265679836273193359375e-3, 1.86810153536498546600341796875e-3, ), } def _compute_base_hash(func: Callable) -> str: """Compute hash from source code or bytecode and closure values.""" try: data = inspect.getsource(func).encode() except (OSError, TypeError): if hasattr(func, "__code__") and func.__code__ is not None: data = func.__code__.co_code else: data = repr(func).encode() hasher = hashlib.sha256(data) if hasattr(func, "__closure__") and func.__closure__ is not None: for cell in func.__closure__: hasher.update(repr(cell.cell_contents).encode()) return hasher.hexdigest() def hash_callable( func: Callable, mixer_attrs: Tuple[str] = _MIXER_ATTRS, set_cute_hash: bool = True ) -> str: """Hash a callable based on the source code or bytecode and closure values. Fast-path: if the callable (or its __wrapped__ base) has a ``__cute_hash__`` attribute, that value is returned immediately as the base hash, then metadata dunders are mixed in to produce the final dict-key hash. set_cute_hash: whether or not to set func.__cute_hash__ """ # Resolve base hash if hasattr(func, "__cute_hash__"): base_hash = func.__cute_hash__ else: # Unwrap decorated functions (e.g., cute.jit wrappers). base_func = getattr(func, "__wrapped__", func) if hasattr(base_func, "__cute_hash__"): base_hash = base_func.__cute_hash__ else: base_hash = _compute_base_hash(base_func) if set_cute_hash: base_func.__cute_hash__ = base_hash # Mix in mutable metadata dunders mixer_values = tuple(getattr(func, attr, None) for attr in mixer_attrs) if all(v is None for v in mixer_values): return base_hash hasher = hashlib.sha256(base_hash.encode()) for attr, val in zip(_MIXER_ATTRS, mixer_values): hasher.update(f"{attr}={val!r}".encode()) return hasher.hexdigest() LOG2_E = math.log2(math.e) def compute_softmax_scale_log2(softmax_scale): """Compute softmax_scale_log2 from softmax_scale. Returns (softmax_scale_log2, None). """ return softmax_scale * LOG2_E, None def convert_from_dlpack(x, leading_dim, alignment=16, divisibility=1) -> cute.Tensor: return ( from_dlpack(x, assumed_align=alignment) .mark_layout_dynamic(leading_dim=leading_dim) .mark_compact_shape_dynamic( mode=leading_dim, stride_order=x.dim_order(), divisibility=divisibility ) ) def make_tiled_copy_A( copy_atom: cute.CopyAtom, tiled_mma: cute.TiledMma, swapAB: cutlass.Constexpr[bool] = False ) -> cute.TiledCopy: if const_expr(swapAB): return cute.make_tiled_copy_B(copy_atom, tiled_mma) else: return cute.make_tiled_copy_A(copy_atom, tiled_mma) def make_tiled_copy_B( copy_atom: cute.CopyAtom, tiled_mma: cute.TiledMma, swapAB: cutlass.Constexpr[bool] = False ) -> cute.TiledCopy: if const_expr(swapAB): return cute.make_tiled_copy_A(copy_atom, tiled_mma) else: return cute.make_tiled_copy_B(copy_atom, tiled_mma) def mma_make_fragment_A( smem: cute.Tensor, thr_mma: cute.core.ThrMma, swapAB: cutlass.Constexpr[bool] = False ) -> cute.Tensor: if const_expr(swapAB): return mma_make_fragment_B(smem, thr_mma) else: return thr_mma.make_fragment_A(thr_mma.partition_A(smem)) def mma_make_fragment_B( smem: cute.Tensor, thr_mma: cute.core.ThrMma, swapAB: cutlass.Constexpr[bool] = False ) -> cute.Tensor: if const_expr(swapAB): return mma_make_fragment_A(smem, thr_mma) else: return thr_mma.make_fragment_B(thr_mma.partition_B(smem)) def get_smem_store_atom( arch: cutlass.Constexpr[int], element_type: Type[cute.Numeric], transpose: bool = False ) -> cute.CopyAtom: if const_expr(arch < 90 or element_type.width != 16): return cute.make_copy_atom( cute.nvgpu.CopyUniversalOp(), element_type, num_bits_per_copy=2 * element_type.width, ) else: return cute.make_copy_atom( cute.nvgpu.warp.StMatrix8x8x16bOp(transpose=transpose, num_matrices=4), element_type, ) @cute.jit def warp_reduce( val: cute.TensorSSA | cute.Numeric, op: Callable, width: cutlass.Constexpr[int] = cute.arch.WARP_SIZE, ) -> cute.TensorSSA | cute.Numeric: if const_expr(isinstance(val, cute.TensorSSA)): res = cute.make_rmem_tensor(val.shape, val.dtype) res.store(val) for i in cutlass.range_constexpr(cute.size(val.shape)): res[i] = warp_reduce(res[i], op, width) return res.load() else: for i in cutlass.range_constexpr(int(math.log2(width))): val = op(val, cute.arch.shuffle_sync_bfly(val, offset=1 << i)) return val @dsl_user_op def fmax( a: float | Float32, b: float | Float32, c: float | Float32 | None = None, *, loc=None, ip=None ) -> Float32: from cutlass import CUDA_VERSION # * NVVM call based on nvvm version if CUDA_VERSION.major == 12 and CUDA_VERSION.minor == 9: # Old API: requires explicit result type as first positional argument return Float32( nvvm.fmax( T.f32(), Float32(a).ir_value(loc=loc, ip=ip), Float32(b).ir_value(loc=loc, ip=ip), c=Float32(c).ir_value(loc=loc, ip=ip) if c is not None else None, loc=loc, ip=ip, ) ) else: # New API: infers result type automatically return Float32( nvvm.fmax( Float32(a).ir_value(loc=loc, ip=ip), Float32(b).ir_value(loc=loc, ip=ip), c=Float32(c).ir_value(loc=loc, ip=ip) if c is not None else None, loc=loc, ip=ip, ) ) @cute.jit def fmax_reduce( x: cute.TensorSSA, init_val: float | Float32 | None = None, arch: cutlass.Constexpr[int] = 80 ) -> Float32: if const_expr(arch < 100 or cute.size(x.shape) % 8 != 0): res = cute.make_rmem_tensor(x.shape, Float32) res.store(x) local_max = [res[0], res[1], res[2], res[3]] for i in cutlass.range_constexpr(4, cute.size(x.shape), 4): local_max[0] = fmax(local_max[0], res[i + 0]) local_max[1] = fmax(local_max[1], res[i + 1]) local_max[2] = fmax(local_max[2], res[i + 2]) local_max[3] = fmax(local_max[3], res[i + 3]) local_max[0] = fmax(local_max[0], local_max[1]) local_max[2] = fmax(local_max[2], local_max[3]) local_max[0] = fmax(local_max[0], local_max[2]) return local_max[0] if const_expr(init_val is None) else fmax(local_max[0], init_val) else: res = cute.make_rmem_tensor(x.shape, Float32) res.store(x) local_max_0 = ( fmax(init_val, res[0], res[1]) if const_expr(init_val is not None) else fmax(res[0], res[1]) ) local_max = [ local_max_0, fmax(res[2], res[3]), fmax(res[4], res[5]), fmax(res[6], res[7]), ] for i in cutlass.range_constexpr(8, cute.size(x.shape), 8): local_max[0] = fmax(local_max[0], res[i], res[i + 1]) local_max[1] = fmax(local_max[1], res[i + 2], res[i + 3]) local_max[2] = fmax(local_max[2], res[i + 4], res[i + 5]) local_max[3] = fmax(local_max[3], res[i + 6], res[i + 7]) local_max[0] = fmax(local_max[0], local_max[1]) return fmax(local_max[0], local_max[2], local_max[3]) @cute.jit def fadd_reduce( x: cute.TensorSSA, init_val: float | Float32 | None = None, arch: cutlass.Constexpr[int] = 80 ) -> Float32: if const_expr(arch < 100 or cute.size(x.shape) % 8 != 0): if const_expr(init_val is None): init_val = Float32.zero return x.reduce(cute.ReductionOp.ADD, init_val, 0) else: res = cute.make_rmem_tensor(x.shape, Float32) res.store(x) local_sum_0 = ( cute.arch.add_packed_f32x2((init_val, 0.0), (res[0], res[1])) if const_expr(init_val is not None) else (res[0], res[1]) ) local_sum = [local_sum_0, (res[2], res[3]), (res[4], res[5]), (res[6], res[7])] for i in cutlass.range_constexpr(8, cute.size(x.shape), 8): local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], (res[i + 0], res[i + 1])) local_sum[1] = cute.arch.add_packed_f32x2(local_sum[1], (res[i + 2], res[i + 3])) local_sum[2] = cute.arch.add_packed_f32x2(local_sum[2], (res[i + 4], res[i + 5])) local_sum[3] = cute.arch.add_packed_f32x2(local_sum[3], (res[i + 6], res[i + 7])) local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], local_sum[1]) local_sum[2] = cute.arch.add_packed_f32x2(local_sum[2], local_sum[3]) local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], local_sum[2]) return local_sum[0][0] + local_sum[0][1] @cute.jit def fadd_exp2_scaled_reduce( x: cute.Tensor, scale: Float32, arch: cutlass.Constexpr[int] = 80 ) -> Float32: assert cute.size(x.shape) % 2 == 0, "x must have an even number of elements" if const_expr(arch < 100): return fadd_reduce(cute.math.exp2(x.load() * scale, fastmath=True), arch=arch) elif const_expr(cute.size(x.shape) % 8 == 0): local_sum = [ (Float32(0.0), Float32(0.0)), (Float32(0.0), Float32(0.0)), (Float32(0.0), Float32(0.0)), (Float32(0.0), Float32(0.0)), ] for i in cutlass.range_constexpr(0, cute.size(x.shape), 8): acc0, acc1 = cute.arch.mul_packed_f32x2( (x[i + 0], x[i + 1]), (scale, scale) ) acc2, acc3 = cute.arch.mul_packed_f32x2( (x[i + 2], x[i + 3]), (scale, scale) ) acc4, acc5 = cute.arch.mul_packed_f32x2( (x[i + 4], x[i + 5]), (scale, scale) ) acc6, acc7 = cute.arch.mul_packed_f32x2( (x[i + 6], x[i + 7]), (scale, scale) ) acc0 = cute.math.exp2(acc0, fastmath=True) acc1 = cute.math.exp2(acc1, fastmath=True) acc2 = cute.math.exp2(acc2, fastmath=True) acc3 = cute.math.exp2(acc3, fastmath=True) acc4 = cute.math.exp2(acc4, fastmath=True) acc5 = cute.math.exp2(acc5, fastmath=True) acc6 = cute.math.exp2(acc6, fastmath=True) acc7 = cute.math.exp2(acc7, fastmath=True) local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], (acc0, acc1)) local_sum[1] = cute.arch.add_packed_f32x2(local_sum[1], (acc2, acc3)) local_sum[2] = cute.arch.add_packed_f32x2(local_sum[2], (acc4, acc5)) local_sum[3] = cute.arch.add_packed_f32x2(local_sum[3], (acc6, acc7)) local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], local_sum[1]) local_sum[2] = cute.arch.add_packed_f32x2(local_sum[2], local_sum[3]) local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], local_sum[2]) return local_sum[0][0] + local_sum[0][1] else: row_sum = Float32(0.0) for i in cutlass.range_constexpr(0, cute.size(x.shape), 2): acc0, acc1 = cute.arch.mul_packed_f32x2( (x[i], x[i + 1]), (scale, scale) ) acc0 = cute.math.exp2(acc0, fastmath=True) acc1 = cute.math.exp2(acc1, fastmath=True) row_sum += acc0 + acc1 return row_sum @dsl_user_op def atomic_add_fp32(a: float | Float32, gmem_ptr: cute.Pointer, *, loc=None, ip=None) -> None: nvvm.atomicrmw( res=T.f32(), op=nvvm.AtomicOpKind.FADD, ptr=gmem_ptr.llvm_ptr, a=Float32(a).ir_value() ) @dsl_user_op def elem_pointer(x: cute.Tensor, coord: cute.Coord, *, loc=None, ip=None) -> cute.Pointer: return x.iterator + cute.crd2idx(coord, x.layout, loc=loc, ip=ip) @cute.jit def predicate_k(tAcA: cute.Tensor, limit: cutlass.Int32) -> cute.Tensor: # Only compute predicates for the "k" dimension. For the mn dimension, we will use "if" tApA = cute.make_rmem_tensor( cute.make_layout( (cute.size(tAcA, mode=[0, 1]), cute.size(tAcA, mode=[1]), cute.size(tAcA, mode=[2])), stride=(cute.size(tAcA, mode=[2]), 0, 1), ), cutlass.Boolean, ) for rest_v in cutlass.range_constexpr(tApA.shape[0]): for rest_k in cutlass.range_constexpr(tApA.shape[2]): tApA[rest_v, 0, rest_k] = cute.elem_less(tAcA[(0, rest_v), 0, rest_k][1], limit) return tApA def canonical_warp_group_idx(sync: bool = True) -> cutlass.Int32: warp_group_idx = cute.arch.thread_idx()[0] // 128 if const_expr(sync): warp_group_idx = cute.arch.make_warp_uniform(warp_group_idx) return warp_group_idx @cute.jit def shuffle_sync( value: cute.Numeric, offset: cute.typing.Int, width: cutlass.Constexpr[int] = cute.arch.WARP_SIZE, ) -> cute.Numeric: assert value.width % 32 == 0, "value type must be a multiple of 32 bits" # 1 -> 0b11111, 2 -> 0b11110, 4 -> 0b11100, 8 -> 0b11000, 16 -> 0b10000, 32 -> 0b00000 mask = cute.arch.WARP_SIZE - width clamp = cute.arch.WARP_SIZE - 1 mask_and_clamp = mask << 8 | clamp # important: need stride 1 and not 0 for recast_tensor to work val = cute.make_rmem_tensor(cute.make_layout((1,), stride=(1,)), type(value)) val[0] = value val_i32 = cute.recast_tensor(val, cutlass.Int32) for i in cutlass.range_constexpr(cute.size(val_i32)): val_i32[i] = cute.arch.shuffle_sync(val_i32[i], offset, mask_and_clamp=mask_and_clamp) return val[0] @dsl_user_op def shl_u32(val: cutlass.Uint32, shift: cutlass.Uint32, *, loc=None, ip=None) -> cutlass.Uint32: """ Left-shift val by shift bits using PTX shl.b32 (sign-agnostic). Named ``shl_u32`` (not ``shl_b32``) because python type annotations distinguish signed/unsigned. PTX semantics (9.7.8.8): "Shift amounts greater than the register width N are clamped to N." So ``shl.b32 d, a, 32`` is well-defined and yields 0. This differs from C/C++ and LLVM IR, where shifting by >= the type width is undefined behavior. CuTeDSL compiles through MLIR -> LLVM IR, so a plain Python-level ``Uint32(x) << Uint32(n)`` inherits LLVM's UB: the optimizer may treat the result as poison and eliminate dependent code. Inline PTX bypasses the LLVM IR shift entirely -- the instruction is emitted verbatim into PTX where clamping makes it safe for all shift amounts. """ return cutlass.Uint32( llvm.inline_asm( T.i32(), [ cutlass.Uint32(val).ir_value(loc=loc, ip=ip), cutlass.Uint32(shift).ir_value(loc=loc, ip=ip), ], "shl.b32 $0, $1, $2;", "=r,r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @dsl_user_op def shr_u32(val: cutlass.Uint32, shift: cutlass.Uint32, *, loc=None, ip=None) -> cutlass.Uint32: """ Unsigned right-shift val by shift bits using PTX shr.u32 (zero-fills). See ``shl_u32`` docstring for why inline PTX is used instead of plain CuTeDSL shift operators (LLVM shift-by-type-width UB). """ return cutlass.Uint32( llvm.inline_asm( T.i32(), [ cutlass.Uint32(val).ir_value(loc=loc, ip=ip), cutlass.Uint32(shift).ir_value(loc=loc, ip=ip), ], "shr.u32 $0, $1, $2;", "=r,r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @cute.jit def warp_prefix_sum(val: cutlass.Int32, lane: Optional[cutlass.Int32] = None) -> cutlass.Int32: if const_expr(lane is None): lane = cute.arch.lane_idx() for i in cutlass.range_constexpr(int(math.log2(cute.arch.WARP_SIZE))): offset = 1 << i # Very important that we set mask_and_clamp to 0 partial_sum = cute.arch.shuffle_sync_up(val, offset=offset, mask_and_clamp=0) if lane >= offset: val += partial_sum return val @dsl_user_op def cvt_f16x2_f32( a: float | Float32, b: float | Float32, to_dtype: Type, *, loc=None, ip=None ) -> cutlass.Int32: assert to_dtype in [cutlass.BFloat16, cutlass.Float16], "to_dtype must be BFloat16 or Float16" return cutlass.Int32( llvm.inline_asm( T.i32(), [Float32(a).ir_value(loc=loc, ip=ip), Float32(b).ir_value(loc=loc, ip=ip)], f"cvt.rn.{'bf16x2' if to_dtype is cutlass.BFloat16 else 'f16x2'}.f32 $0, $2, $1;", "=r,f,f", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @dsl_user_op def cvt_fp8x4_e4m3_f32( a: float | Float32, b: float | Float32, c: float | Float32, d: float | Float32, *, loc=None, ip=None, ) -> cutlass.Int32: return cutlass.Int32( llvm.inline_asm( T.i32(), [ Float32(a).ir_value(loc=loc, ip=ip), Float32(b).ir_value(loc=loc, ip=ip), Float32(c).ir_value(loc=loc, ip=ip), Float32(d).ir_value(loc=loc, ip=ip), ], "{\n" ".reg .b16 h0, h1;\n" "cvt.rn.satfinite.e4m3x2.f32 h0, $2, $1;\n" "cvt.rn.satfinite.e4m3x2.f32 h1, $4, $3;\n" "mov.b32 $0, {h0, h1};\n" "}\n", "=r,f,f,f,f", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @dsl_user_op def cvt_fp8x4_e4m3_bf16x4( src: cutlass.Int32, *, loc=None, ip=None, ) -> Tuple[cutlass.Int32, cutlass.Int32]: """Convert packed e4m3x4 bits into two packed bf16x2 registers.""" out0 = cutlass.Int32( llvm.inline_asm( T.i32(), [cutlass.Int32(src).ir_value(loc=loc, ip=ip)], "{\n\t" ".reg .b32 q, mant, out, bias, zero;\n\t" "prmt.b32 q, $1, $1, 0x1302;\n\t" "and.b32 out, q, 0x80008000;\n\t" "and.b32 mant, q, 0x7f007f00;\n\t" "shr.u32 mant, mant, 4;\n\t" "or.b32 out, out, mant;\n\t" "mov.b32 bias, 0x7b807b80;\n\t" "mov.b32 zero, 0;\n\t" "fma.rn.bf16x2 $0, out, bias, zero;\n\t" "}\n", "=r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) out1 = cutlass.Int32( llvm.inline_asm( T.i32(), [cutlass.Int32(src).ir_value(loc=loc, ip=ip)], "{\n\t" ".reg .b32 q, qs, mant, out, bias, zero;\n\t" "prmt.b32 q, $1, $1, 0x1302;\n\t" "shl.b32 qs, q, 8;\n\t" "and.b32 out, qs, 0x80008000;\n\t" "and.b32 mant, qs, 0x7f007f00;\n\t" "shr.u32 mant, mant, 4;\n\t" "or.b32 out, out, mant;\n\t" "mov.b32 bias, 0x7b807b80;\n\t" "mov.b32 zero, 0;\n\t" "fma.rn.bf16x2 $0, out, bias, zero;\n\t" "}\n", "=r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) return out0, out1 @dsl_user_op def cvt_fp4x2_e2m1_f16x2( src: cutlass.Int32, *, loc=None, ip=None, ) -> cutlass.Int32: """Convert one packed E2M1 byte into one packed f16x2 register.""" return cutlass.Int32( llvm.inline_asm( T.i32(), [cutlass.Int32(src).ir_value(loc=loc, ip=ip)], "{\n\t" ".reg .b8 byte0;\n\t" "mov.b32 {byte0, _, _, _}, $1;\n\t" "cvt.rn.f16x2.e2m1x2 $0, byte0;\n\t" "}\n", "=r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @dsl_user_op def cvt_fp4x8_e2m1_f16x8( src: cutlass.Int32, *, loc=None, ip=None, ) -> Tuple[cutlass.Int32, cutlass.Int32, cutlass.Int32, cutlass.Int32]: """Convert four packed E2M1 bytes into four packed f16x2 registers.""" out = llvm.inline_asm( llvm.StructType.get_literal([T.i32(), T.i32(), T.i32(), T.i32()]), [cutlass.Int32(src).ir_value(loc=loc, ip=ip)], "{\n\t" ".reg .b8 byte0, byte1, byte2, byte3;\n\t" "mov.b32 {byte0, byte1, byte2, byte3}, $4;\n\t" "cvt.rn.f16x2.e2m1x2 $0, byte0;\n\t" "cvt.rn.f16x2.e2m1x2 $1, byte1;\n\t" "cvt.rn.f16x2.e2m1x2 $2, byte2;\n\t" "cvt.rn.f16x2.e2m1x2 $3, byte3;\n\t" "}\n", "=r,=r,=r,=r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) out0 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [0], loc=loc, ip=ip)) out1 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [1], loc=loc, ip=ip)) out2 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [2], loc=loc, ip=ip)) out3 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [3], loc=loc, ip=ip)) return out0, out1, out2, out3 @dsl_user_op def cvt_fp4x8_e2m1_bf16x8( src: cutlass.Int32, *, loc=None, ip=None, ) -> Tuple[cutlass.Int32, cutlass.Int32, cutlass.Int32, cutlass.Int32]: """Convert four packed E2M1 bytes into four packed bf16x2 registers.""" from cutlass import CUDA_VERSION if CUDA_VERSION.major > 13 or (CUDA_VERSION.major == 13 and CUDA_VERSION.minor >= 2): out = llvm.inline_asm( llvm.StructType.get_literal([T.i32(), T.i32(), T.i32(), T.i32()]), [cutlass.Int32(src).ir_value(loc=loc, ip=ip)], "{\n\t" ".reg .b8 byte0, byte1, byte2, byte3;\n\t" "mov.b32 {byte0, byte1, byte2, byte3}, $4;\n\t" "cvt.rn.bf16x2.e2m1x2 $0, byte0;\n\t" "cvt.rn.bf16x2.e2m1x2 $1, byte1;\n\t" "cvt.rn.bf16x2.e2m1x2 $2, byte2;\n\t" "cvt.rn.bf16x2.e2m1x2 $3, byte3;\n\t" "}\n", "=r,=r,=r,=r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) out0 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [0], loc=loc, ip=ip)) out1 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [1], loc=loc, ip=ip)) out2 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [2], loc=loc, ip=ip)) out3 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [3], loc=loc, ip=ip)) return out0, out1, out2, out3 f16_pair0, f16_pair1, f16_pair2, f16_pair3 = cvt_fp4x8_e2m1_f16x8( src, loc=loc, ip=ip ) return ( cvt_f16x2_to_bf16x2(f16_pair0, loc=loc, ip=ip), cvt_f16x2_to_bf16x2(f16_pair1, loc=loc, ip=ip), cvt_f16x2_to_bf16x2(f16_pair2, loc=loc, ip=ip), cvt_f16x2_to_bf16x2(f16_pair3, loc=loc, ip=ip), ) @dsl_user_op def cvt_fp4x8_e2m1_scaled_e4m3x8( src: cutlass.Int32, scale_e4m3: cutlass.Int32, *, loc=None, ip=None, ) -> Tuple[cutlass.Int32, cutlass.Int32]: """Scale eight packed E2M1 values by one E4M3 byte and convert to E4M3.""" from cutlass import CUDA_VERSION if CUDA_VERSION.major > 13 or (CUDA_VERSION.major == 13 and CUDA_VERSION.minor >= 2): out = llvm.inline_asm( llvm.StructType.get_literal([T.i32(), T.i32()]), [ cutlass.Int32(src).ir_value(loc=loc, ip=ip), cutlass.Int32(scale_e4m3).ir_value(loc=loc, ip=ip), ], "{\n\t" ".reg .b32 tmp, ra;\n\t" ".reg .b8 byte0, byte1, byte2, byte3;\n\t" "prmt.b32 tmp, $3, 0, 0;\n\t" "mov.b32 {byte0, byte1, byte2, byte3}, $2;\n\t" "mov.b32 ra, {byte0, byte1, _, _};\n\t" "mul.e4m3x4.e2m1x4.e4m3x4.satfinite $0, ra, tmp;\n\t" "mov.b32 ra, {_, _, byte2, byte3};\n\t" "mul.e4m3x4.e2m1x4.e4m3x4.satfinite $1, ra, tmp;\n\t" "}\n", "=r,=r,r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) out0 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [0], loc=loc, ip=ip)) out1 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [1], loc=loc, ip=ip)) return out0, out1 out = llvm.inline_asm( llvm.StructType.get_literal([T.i32(), T.i32()]), [ cutlass.Int32(src).ir_value(loc=loc, ip=ip), cutlass.Int32(scale_e4m3).ir_value(loc=loc, ip=ip), ], "{\n\t" ".reg .b32 sf_bytes, sf_f16x2;\n\t" ".reg .b16 sf_pair, e0, e1, e2, e3;\n\t" ".reg .b8 byte0, byte1, byte2, byte3;\n\t" ".reg .b32 h0, h1, h2, h3;\n\t" "prmt.b32 sf_bytes, $3, 0, 0;\n\t" "mov.b32 {sf_pair, _}, sf_bytes;\n\t" "cvt.rn.f16x2.e4m3x2 sf_f16x2, sf_pair;\n\t" "mov.b32 {byte0, byte1, byte2, byte3}, $2;\n\t" "cvt.rn.f16x2.e2m1x2 h0, byte0;\n\t" "cvt.rn.f16x2.e2m1x2 h1, byte1;\n\t" "cvt.rn.f16x2.e2m1x2 h2, byte2;\n\t" "cvt.rn.f16x2.e2m1x2 h3, byte3;\n\t" "mul.rn.f16x2 h0, h0, sf_f16x2;\n\t" "mul.rn.f16x2 h1, h1, sf_f16x2;\n\t" "mul.rn.f16x2 h2, h2, sf_f16x2;\n\t" "mul.rn.f16x2 h3, h3, sf_f16x2;\n\t" "cvt.rn.satfinite.e4m3x2.f16x2 e0, h0;\n\t" "cvt.rn.satfinite.e4m3x2.f16x2 e1, h1;\n\t" "cvt.rn.satfinite.e4m3x2.f16x2 e2, h2;\n\t" "cvt.rn.satfinite.e4m3x2.f16x2 e3, h3;\n\t" "mov.b32 $0, {e0, e1};\n\t" "mov.b32 $1, {e2, e3};\n\t" "}\n", "=r,=r,r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) out0 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [0], loc=loc, ip=ip)) out1 = cutlass.Int32(llvm.extractvalue(T.i32(), out, [1], loc=loc, ip=ip)) return out0, out1 @dsl_user_op def cvt_f16x2_to_bf16x2( src: cutlass.Int32, *, loc=None, ip=None, ) -> cutlass.Int32: """Convert a packed f16x2 register into a packed bf16x2 register.""" return cutlass.Int32( llvm.inline_asm( T.i32(), [cutlass.Int32(src).ir_value(loc=loc, ip=ip)], "{\n\t" ".reg .b16 h0, h1;\n\t" ".reg .f32 f0, f1;\n\t" "mov.b32 {h0, h1}, $1;\n\t" "cvt.f32.f16 f0, h0;\n\t" "cvt.f32.f16 f1, h1;\n\t" "cvt.rn.bf16x2.f32 $0, f1, f0;\n\t" "}\n", "=r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @dsl_user_op def mul_bf16x2( a: cutlass.Int32, b: cutlass.Int32, *, loc=None, ip=None, ) -> cutlass.Int32: """Multiply two packed bf16x2 registers.""" return cutlass.Int32( llvm.inline_asm( T.i32(), [ cutlass.Int32(a).ir_value(loc=loc, ip=ip), cutlass.Int32(b).ir_value(loc=loc, ip=ip), ], "mul.rn.bf16x2 $0, $1, $2;", "=r,r,r", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @cute.jit def cvt_fp8_e4m3_to_bf16x2_replicated(src: cutlass.Int32) -> cutlass.Int32: """Decode one E4M3 byte and replicate it into a packed bf16x2 register.""" src_u8 = src & cutlass.Int32(0xFF) packed = src_u8 * cutlass.Int32(0x01010101) out0, _ = cvt_fp8x4_e4m3_bf16x4(packed) return out0 @overload def cvt_f16(src: cute.Tensor, dst: cute.Tensor) -> None: ... @overload def cvt_f16(src: cute.Tensor, dtype: Type[cute.Numeric]) -> cute.Tensor: ... @cute.jit def cvt_f16(src: cute.Tensor, dst_or_dtype): """Convert Float32 tensor to Float16/BFloat16. Args: src: Source tensor with Float32 element type dst_or_dtype: Either a destination tensor or a dtype (Float16/BFloat16) Returns: None if dst is a tensor, or a new tensor if dtype is provided """ if const_expr(isinstance(dst_or_dtype, type)): # dtype variant: create new tensor and call the tensor variant dtype = dst_or_dtype dst = cute.make_rmem_tensor(src.shape, dtype) cvt_f16(src, dst) return dst else: # tensor variant: write to dst dst = dst_or_dtype assert cute.size(dst.shape) == cute.size(src.shape), "dst and src must have the same size" assert cute.size(src.shape) % 2 == 0, "src must have an even number of elements" assert dst.element_type in [cutlass.BFloat16, cutlass.Float16], ( "dst must be BFloat16 or Float16" ) assert src.element_type is Float32, "src must be Float32" dst_i32 = cute.recast_tensor(dst, cutlass.Int32) assert cute.size(dst_i32.shape) * 2 == cute.size(src.shape) for i in cutlass.range_constexpr(cute.size(dst_i32)): dst_i32[i] = cvt_f16x2_f32(src[2 * i], src[2 * i + 1], dst.element_type) @cute.jit def cvt_f32(src: cute.Tensor, dst: cute.Tensor) -> None: """Convert a Float32 rmem tensor to dst's element type. fp8 path uses the reference fp8 quantize pattern: fragment-by-fragment ``.store(.load().to(fp8))`` over groups of ``frg_tile=4``. This lets the DSL emit ``cvt.rn.satfinite.e4m3x2.f32`` pairs and pack the resulting fp8 bytes within a 32-bit register cell in the order DSL chooses, which is expected to match the K-adjacency that SM100 fp8 UMMA fragment_A reads. """ if const_expr(dst.element_type in [cutlass.BFloat16, cutlass.Float16]): cvt_f16(src, dst) elif const_expr(dst.element_type is cutlass.Float8E4M3FN): assert src.element_type is Float32, "src must be Float32" assert cute.size(src.shape) == cute.size(dst.shape), "dst and src must have the same size" assert cute.size(src.shape) % 4 == 0, "src must have a multiple of 4 elements" frg_tile = 4 src_frg = cute.logical_divide(src, cute.make_layout(frg_tile)) dst_frg = cute.logical_divide(dst, cute.make_layout(frg_tile)) for i in cutlass.range_constexpr(cute.size(src_frg, mode=[1])): dst_frg[None, i].store(src_frg[None, i].load().to(dst.element_type)) else: assert src.element_type is Float32, "src must be Float32" dst_view = cute.make_tensor(dst.iterator, src.layout) dst_view.store(src.load().to(dst.element_type)) @dsl_user_op @cute.jit def evaluate_polynomial(x: Float32, poly: Tuple[Float32, ...], *, loc=None, ip=None) -> Float32: deg = len(poly) - 1 out = poly[deg] for i in cutlass.range_constexpr(deg - 1, -1, -1): out = out * x + poly[i] return out @dsl_user_op @cute.jit def evaluate_polynomial_2( x: Float32, y: Float32, poly: Tuple[Float32, ...], *, loc=None, ip=None ) -> Tuple[Float32, Float32]: deg = len(poly) - 1 out = (poly[deg], poly[deg]) for i in cutlass.range_constexpr(deg - 1, -1, -1): out = cute.arch.fma_packed_f32x2(out, (x, y), (poly[i], poly[i])) return out @dsl_user_op def add_round_down(x: float | Float32, y: float | Float32, *, loc=None, ip=None) -> Float32: # There's probably a way to call llvm or nvvm to do this instead of ptx return cutlass.Float32( llvm.inline_asm( T.f32(), [Float32(x).ir_value(loc=loc, ip=ip), Float32(y).ir_value(loc=loc, ip=ip)], "add.rm.ftz.f32 $0, $1, $2;", "=f,f,f", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @dsl_user_op def combine_int_frac_ex2(x_rounded: Float32, frac_ex2: Float32, *, loc=None, ip=None) -> Float32: return cutlass.Float32( llvm.inline_asm( T.f32(), [ Float32(x_rounded).ir_value(loc=loc, ip=ip), Float32(frac_ex2).ir_value(loc=loc, ip=ip), ], "{\n\t" ".reg .s32 x_rounded_i, frac_ex_i, x_rounded_e, out_i;\n\t" "mov.b32 x_rounded_i, $1;\n\t" "mov.b32 frac_ex_i, $2;\n\t" "shl.b32 x_rounded_e, x_rounded_i, 23;\n\t" # add.u32 generates IMAD instruction and add.s32 generates LEA instruction # IMAD uses the FMA pipeline and LEA uses the ALU pipeline, afaik "add.s32 out_i, x_rounded_e, frac_ex_i;\n\t" "mov.b32 $0, out_i;\n\t" "}\n", "=f,f,f", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) ) @dsl_user_op def ex2_emulation(x: Float32, *, poly_degree: int = 3, loc=None, ip=None) -> Float32: assert poly_degree in POLY_EX2, f"Polynomial degree {poly_degree} not supported" # We assume x <= 127.0 fp32_round_int = float(2**23 + 2**22) x_clamped = cute.arch.fmax(x, -127.0) # We want to round down here, so that the fractional part is in [0, 1) x_rounded = add_round_down(x_clamped, fp32_round_int, loc=loc, ip=ip) # The integer floor of x is now in the last 8 bits of x_rounded # We assume the next 2 ops round to nearest even. The rounding mode is important. x_rounded_back = x_rounded - fp32_round_int x_frac = x_clamped - x_rounded_back x_frac_ex2 = evaluate_polynomial(x_frac, POLY_EX2[poly_degree], loc=loc, ip=ip) return combine_int_frac_ex2(x_rounded, x_frac_ex2, loc=loc, ip=ip) @dsl_user_op def ex2_emulation_2( x: Float32, y: Float32, *, poly_degree: int = 3, loc=None, ip=None ) -> Tuple[Float32, Float32]: # We assume x <= 127.0 and y <= 127.0 fp32_round_int = float(2**23 + 2**22) xy_clamped = (cute.arch.fmax(x, -127.0), cute.arch.fmax(y, -127.0)) # We want to round down here, so that the fractional part is in [0, 1) xy_rounded = cute.arch.add_packed_f32x2(xy_clamped, (fp32_round_int, fp32_round_int), rnd="rm") # The integer floor of x & y are now in the last 8 bits of xy_rounded # We want the next 2 ops to round to nearest even. The rounding mode is important. xy_rounded_back = activation.sub_packed_f32x2( xy_rounded, (fp32_round_int, fp32_round_int) ) xy_frac = activation.sub_packed_f32x2(xy_clamped, xy_rounded_back) xy_frac_ex2 = evaluate_polynomial_2(*xy_frac, POLY_EX2[poly_degree], loc=loc, ip=ip) x_out = combine_int_frac_ex2(xy_rounded[0], xy_frac_ex2[0], loc=loc, ip=ip) y_out = combine_int_frac_ex2(xy_rounded[1], xy_frac_ex2[1], loc=loc, ip=ip) return x_out, y_out @dsl_user_op def e2e_asm2(x: Float32, y: Float32, *, loc=None, ip=None) -> Tuple[Float32, Float32]: out_f32x2 = llvm.inline_asm( llvm.StructType.get_literal([T.f32(), T.f32()]), [Float32(x).ir_value(loc=loc, ip=ip), Float32(y, loc=loc, ip=ip).ir_value()], "{\n\t" ".reg .f32 f1, f2, f3, f4, f5, f6, f7;\n\t" ".reg .b64 l1, l2, l3, l4, l5, l6, l7, l8, l9, l10;\n\t" ".reg .s32 r1, r2, r3, r4, r5, r6, r7, r8;\n\t" "max.ftz.f32 f1, $2, 0fC2FE0000;\n\t" "max.ftz.f32 f2, $3, 0fC2FE0000;\n\t" "mov.b64 l1, {f1, f2};\n\t" "mov.f32 f3, 0f4B400000;\n\t" "mov.b64 l2, {f3, f3};\n\t" "add.rm.ftz.f32x2 l7, l1, l2;\n\t" "sub.rn.ftz.f32x2 l8, l7, l2;\n\t" "sub.rn.ftz.f32x2 l9, l1, l8;\n\t" "mov.f32 f7, 0f3D9DF09D;\n\t" "mov.b64 l6, {f7, f7};\n\t" "mov.f32 f6, 0f3E6906A4;\n\t" "mov.b64 l5, {f6, f6};\n\t" "mov.f32 f5, 0f3F31F519;\n\t" "mov.b64 l4, {f5, f5};\n\t" "mov.f32 f4, 0f3F800000;\n\t" "mov.b64 l3, {f4, f4};\n\t" "fma.rn.ftz.f32x2 l10, l9, l6, l5;\n\t" "fma.rn.ftz.f32x2 l10, l10, l9, l4;\n\t" "fma.rn.ftz.f32x2 l10, l10, l9, l3;\n\t" "mov.b64 {r1, r2}, l7;\n\t" "mov.b64 {r3, r4}, l10;\n\t" "shl.b32 r5, r1, 23;\n\t" "add.s32 r7, r5, r3;\n\t" "shl.b32 r6, r2, 23;\n\t" "add.s32 r8, r6, r4;\n\t" "mov.b32 $0, r7;\n\t" "mov.b32 $1, r8;\n\t" "}\n", "=r,=r,f,f", has_side_effects=False, is_align_stack=False, asm_dialect=llvm.AsmDialect.AD_ATT, ) out0 = Float32(llvm.extractvalue(T.f32(), out_f32x2, [0], loc=loc, ip=ip)) out1 = Float32(llvm.extractvalue(T.f32(), out_f32x2, [1], loc=loc, ip=ip)) return out0, out1 @dsl_user_op def domain_offset_aligned( coord: cute.Coord, tensor: cute.Tensor, *, loc=None, ip=None ) -> cute.Tensor: assert isinstance(tensor.iterator, cute.Pointer) # We assume that applying the offset does not change the pointer alignment new_ptr = cute.make_ptr( tensor.element_type, elem_pointer(tensor, coord).toint(), tensor.memspace, assumed_align=tensor.iterator.alignment, ) return cute.make_tensor(new_ptr, tensor.layout) @cute.jit def scalar_to_ssa(a: cute.Numeric, dtype) -> cute.TensorSSA: """Convert a scalar to a cute TensorSSA of shape (1,) and given dtype""" vec = cute.make_rmem_tensor(1, dtype) vec[0] = a return vec.load() def ssa_to_scalar(val): """Could inline but nice for reflecting the above api""" return val[0] # ------------------------------------------------------------------ # Host-side Python helpers (not @cute.jit — called from PyTorch host code) # ------------------------------------------------------------------ def default_softmax_scale(dim: int) -> float: """Default softmax scale: 1 / sqrt(dim).""" return 1.0 / math.sqrt(dim)