#!/usr/bin/env python3 """Minimal vectorised PTX interpreter for DLSS rrlite kernels. Runs one thread block of a fully unrolled kernel on the CPU (all threads of the block as numpy lanes), against memory restored from a bridge replay dump (D4R_CUDA_REPLAY_DUMP_DIR). It is a reference and an instrument: every statement can be observed (hooks), which is how the logical computation (GEMMs, weight layouts, normalisations) of a kernel is recovered. Only the instruction forms the rrlite kernels use are implemented; anything else raises NotImplementedError naming the statement. """ import re import struct import sys import numpy as np F16, F32, F64 = np.float16, np.float32, np.float64 U64 = np.uint64 PARAM_BASE = 1 << 60 # virtual address of the kernel parameter block MASK = {8: 0xff, 16: 0xffff, 32: 0xffffffff, 64: 0xffffffffffffffff} def _e4m3_decode_table(): t = np.zeros(256, F64) for c in range(256): s = -1.0 if c & 0x80 else 1.0 e, m = (c >> 3) & 0xf, c & 7 if (c & 0x7f) == 0x7f: t[c] = np.nan elif e == 0: t[c] = s * m * 2.0 ** -9 else: t[c] = s * (1 + m / 8) * 2.0 ** (e - 7) return t E4M3 = _e4m3_decode_table() def _f16_to_e4m3_table(): """Exact RNE + satfinite f16 -> e4m3 for all 65536 f16 codes (ZLUDA's helper).""" h = np.arange(65536, dtype=np.uint32) mag = h & 0x7fff normal = (mag - 0x2000 + 0x3f + ((mag >> 7) & 1)) >> 7 exp = mag >> 10 sig = (mag & 0x3ff) | np.where(exp != 0, 0x400, 0) cl = np.clip(exp, 1, 8) sh = 16 - cl sub = (sig + (np.left_shift(1, sh - 1)) - 1 + ((sig >> sh) & 1)) >> sh code = np.where(mag >= 0x2400, normal, sub) code = np.where(mag > 0x5f00, 0x7e, code) code = np.where(mag > 0x7c00, 0x7f, code) return (((h >> 8) & 0x80) | code).astype(np.uint32) F16_TO_E4M3 = _f16_to_e4m3_table() def bits_to_f16(x): return (x & 0xffff).astype(np.uint16).view(F16) def f16_to_bits(v): return np.asarray(v, F16).view(np.uint16).astype(U64) def bits_to_f32(x): return (x & 0xffffffff).astype(np.uint32).view(F32) def f32_to_bits(v): return np.asarray(v, F32).view(np.uint32).astype(U64) class Stmt: __slots__ = ('labels', 'pred', 'neg', 'op', 'args', 'text', 'index') def split_args(s): out, depth, cur = [], 0, '' for ch in s: if ch in '{[': depth += 1 elif ch in '}]': depth -= 1 if ch == ',' and depth == 0: out.append(cur.strip()) cur = '' else: cur += ch if cur.strip(): out.append(cur.strip()) return out def parse_kernel(path, name): src = open(path).read() i = src.index('.entry ' + name + '(') j = src.find('\n.visible', i + 10) j = len(src) if j < 0 else j body = src[i:j] body = body[body.index(')') + 1:] # module-scope .shared arrays (declared before the entry) are visible to it too module_shared = {m.group(1): int(m.group(2)) for m in re.finditer(r'^\.shared[^\n;]*?(\w+)\[(\d+)\]', src[:i], re.M)} body = re.sub(r'//[^\n]*', '', body) body = re.sub(r'\.(maxntid|reqntid|minnctapersm|maxnreg)[^\n{]*', '', body) stmts, types, shared = [], {}, {} pending_labels = [] for raw in re.sub(r'\s*\n\s*', ' ', body).split(';'): s = raw.strip() while True: s = s.strip() if s.startswith('{') and not s.startswith('{%'): s = s[1:] continue if s.startswith('}'): s = s[1:] continue m = re.match(r'(\$[\w]+):\s*', s) if m: pending_labels.append(m.group(1)) s = s[m.end():] continue break if not s: continue if s.startswith('.reg'): m = re.match(r'\.reg\s*\.(\w+)\s+(.*)', s) ty = m.group(1) for decl in m.group(2).split(','): decl = decl.strip() m2 = re.match(r'(%[\w]+)<(\d+)>', decl) if m2: types[('prefix', m2.group(1))] = ty else: types[decl] = ty continue if s.startswith('.shared'): m = re.search(r'(\w+)\[(\d+)\]', s) shared[m.group(1)] = int(m.group(2)) continue if s.startswith('.'): continue st = Stmt() st.labels, pending_labels = pending_labels, [] st.pred, st.neg = None, False m = re.match(r'@(!?)(%\w+)\s+', s) if m: st.neg, st.pred = m.group(1) == '!', m.group(2) s = s[m.end():] parts = s.split(None, 1) st.op = parts[0] st.args = split_args(parts[1]) if len(parts) > 1 else [] st.text = s st.index = len(stmts) stmts.append(st) if pending_labels: st = Stmt() st.labels, st.pred, st.neg, st.op, st.args, st.text, st.index = pending_labels, None, False, 'nop', [], 'nop', len(stmts) stmts.append(st) for k, v in module_shared.items(): shared.setdefault(k, v) return stmts, types, shared def reg_width(types, name): ty = types.get(name) if ty is None: m = re.match(r'(%[a-z]+)', name) ty = types.get(('prefix', m.group(1))) return {'pred': 1, 'b16': 16, 'u16': 16, 's16': 16, 'f16': 16, 'b32': 32, 'u32': 32, 's32': 32, 'f32': 32, 'b64': 64, 'u64': 64, 's64': 64, 'f64': 64, 'b8': 8}[ty] class Memory: """Global memory: the replay dump's allocations at their captured addresses.""" def __init__(self, dump_dir): manifest = open(dump_dir + '/manifest.txt').read().split('\n') self.args = open(dump_dir + '/args.bin', 'rb').read() self.bases, self.data, self.ids = [], [], [] for line in manifest: p = line.split() if p and p[0] == 'alloc': idx, base, size = int(p[1]), int(p[2], 16), int(p[3]) buf = np.fromfile(f'{dump_dir}/alloc-{idx}.bin', np.uint8) assert buf.size == size self.bases.append(base) self.data.append(buf) self.ids.append(idx) order = np.argsort(self.bases) self.bases = [self.bases[i] for i in order] self.data = [self.data[i] for i in order] self.ids = [self.ids[i] for i in order] self.base_arr = np.array(self.bases, U64) self.stores = [] # (addresses, bytes) of every global store def locate(self, addr): idx = np.searchsorted(self.base_arr, addr, side='right') - 1 if np.any(idx < 0): raise ValueError('address below every allocation') return idx def load(self, addr, nbytes, mask): out = np.zeros((addr.size, nbytes), np.uint8) idx = self.locate(np.where(mask, addr, self.base_arr[0])) for a in np.unique(idx[mask]): sel = mask & (idx == a) off = (addr[sel] - self.bases[a]).astype(np.int64) if np.any(off + nbytes > self.data[a].size): raise ValueError('load past the end of an allocation') out[sel] = self.data[a][off[:, None] + np.arange(nbytes)] return out def store(self, addr, raw, mask): idx = self.locate(np.where(mask, addr, self.base_arr[0])) n = raw.shape[1] for a in np.unique(idx[mask]): sel = mask & (idx == a) off = (addr[sel] - self.bases[a]).astype(np.int64) self.data[a][off[:, None] + np.arange(n)] = raw[sel] self.stores.append((self.ids[a], off.copy(), raw[sel].copy())) class Block: def __init__(self, stmts, types, shared, mem, param_name, block_dim, grid_dim, ctaid): self.stmts, self.types, self.mem = stmts, types, mem self.param_name = param_name bx, by, bz = block_dim self.T = bx * by * bz t = np.arange(self.T) self.tid = {'x': t % bx, 'y': (t // bx) % by, 'z': t // (bx * by)} self.lane = t % 32 self.warp = t // 32 self.ctaid = ctaid self.grid = grid_dim self.ntid = block_dim self.regs = {} self.shared = {k: np.zeros(v, np.uint8) for k, v in shared.items()} self.shared_base = {} base = 0 for k, v in shared.items(): self.shared_base[k] = base base += (v + 15) & ~15 self.shared_mem = np.zeros(max(base, 16), np.uint8) self.labels = {} for st in stmts: for l in st.labels: self.labels[l] = st.index self.hooks = [] self.retired = np.zeros(self.T, bool) self.prov = {} # --- operands ----------------------------------------------------------- def width(self, name): return reg_width(self.types, name) def special(self, name): m = re.match(r'%(tid|ntid|ctaid|nctaid)\.([xyz])', name) if m: kind, ax = m.groups() k = 'xyz'.index(ax) if kind == 'tid': return self.tid[ax].astype(U64) if kind == 'ntid': return np.full(self.T, self.ntid[k], U64) if kind == 'ctaid': return np.full(self.T, self.ctaid[k], U64) return np.full(self.T, self.grid[k], U64) if name == 'WARP_SZ': return np.full(self.T, 32, U64) if name == '%laneid': return self.lane.astype(U64) if name == '%warpid': return self.warp.astype(U64) return None def imm(self, s, width=64): if s.startswith('0f'): return np.full(self.T, int(s[2:], 16), U64) if s.startswith('0d'): return np.full(self.T, int(s[2:], 16), U64) v = int(s, 0) return np.full(self.T, v & MASK[64], U64) def get(self, s, width=None): s = s.strip() if s.startswith('%') or s in self.types or s == 'WARP_SZ': sp = self.special(s) if (s.startswith('%') or s == 'WARP_SZ') else None if sp is not None: return sp if s not in self.regs: w = self.width(s) self.regs[s] = np.zeros(self.T, bool if w == 1 else U64) return self.regs[s] if s in self.shared_base: return np.full(self.T, self.shared_base[s], U64) if s == self.param_name: return np.full(self.T, PARAM_BASE, U64) if s[0].isdigit() or s[0] == '-': v = self.imm(s) if width: v = v & np.uint64(MASK[width]) return v raise NotImplementedError('operand ' + s) def put(self, name, value, mask, keep_prov=False): name = name.strip() if not keep_prov: self.prov.pop(name, None) w = self.width(name) old = self.get(name) if w == 1: self.regs[name] = np.where(mask, value.astype(bool), old) else: self.regs[name] = np.where(mask, value.astype(U64) & np.uint64(MASK[w]), old) def vec(self, s): return [x.strip() for x in s.strip()[1:-1].split(',')] def address(self, s): """[reg+off] or [symbol+off] -> (space, address array).""" inner = s.strip()[1:-1] m = re.match(r'([%\w$.]+)\s*(\+\s*-?\d+)?', inner) base, off = m.group(1), int(m.group(2).replace('+', '')) if m.group(2) else 0 if base == self.param_name: return 'param', np.full(self.T, off, U64) if base in self.shared_base: return 'shared', np.full(self.T, self.shared_base[base] + off, U64) return 'reg', (self.get(base) + np.uint64(off & MASK[64])) & np.uint64(MASK[64]) # --- execution ------------------------------------------------------------ def run(self, limit=None): stmts = self.stmts active = np.ones(self.T, bool) pending = {} pc = 0 steps = 0 while pc < len(stmts): st = stmts[pc] for l in st.labels: if l in pending: active |= pending.pop(l) if not active.any(): # jump to the nearest label someone waits at targets = sorted(self.labels[l] for l in pending) if not targets: break pc = targets[0] continue active &= ~self.retired mask = active if st.pred is not None: p = self.get(st.pred) mask = active & (~p if st.neg else p) if st.op == 'bra' or st.op.startswith('bra.'): target = self.labels[st.args[0]] taking = mask if target <= pc: if (taking == active).all(): pc = target continue if not taking.any(): pc += 1 continue raise NotImplementedError('divergent backward branch at ' + st.text) active = active & ~taking if taking.any(): pending[st.args[0]] = pending.get(st.args[0], np.zeros(self.T, bool)) | taking pc += 1 continue if mask.any() or st.op.startswith(('mma', 'shfl', 'movmatrix', 'bar')): self.execute(st, mask) for hook in self.hooks: hook(self, st, mask) pc += 1 steps += 1 if limit and steps >= limit: break return steps def execute(self, st, mask): op, a = st.op, st.args parts = op.split('.') base = parts[0] fn = getattr(self, 'op_' + base, None) if fn is None: raise NotImplementedError(st.text) try: fn(st, parts, a, mask) except Exception as e: raise RuntimeError(f'{type(e).__name__} {e} in: {st.text}') from e # --- helpers -------------------------------------------------------------- @staticmethod def sext(v, w): v = v.astype(np.int64) & ((1 << w) - 1) if w < 64 else v.view(np.int64) if w < 64: v = np.where(v >= (1 << (w - 1)), v - (1 << w), v) return v def typed(self, s, ty): w = int(re.sub(r'\D', '', ty) or 32) if ty not in ('pred',) else 1 v = self.get(s, w) if ty.startswith('s'): return self.sext(v, w) if ty.startswith('f'): if ty == 'f16': return bits_to_f16(v).astype(F64) if ty == 'f32': return bits_to_f32(v).astype(F64) return v.view(F64) return (v & np.uint64(MASK[w])).astype(np.int64) if w < 64 else v def result(self, ty, value): if ty == 'f16': return f16_to_bits(np.asarray(value).astype(F16)) if ty == 'f32': return f32_to_bits(np.asarray(value).astype(F32)) if ty == 'f64': return np.asarray(value, F64).view(U64) w = int(re.sub(r'\D', '', ty)) return (np.asarray(value).astype(np.int64).astype(U64)) & np.uint64(MASK[w]) # --- instructions ----------------------------------------------------------- def op_nop(self, st, parts, a, mask): pass def op_bar(self, st, parts, a, mask): pass def op_ret(self, st, parts, a, mask): self.retired |= mask def op_neg(self, st, parts, a, mask): ty = parts[-1] if ty == 'f16x2': self.put(a[0], self.get(a[1]) ^ np.uint64(0x80008000), mask) elif ty == 'f16': self.put(a[0], self.get(a[1]) ^ np.uint64(0x8000), mask) elif ty == 'f32': self.put(a[0], self.get(a[1]) ^ np.uint64(0x80000000), mask) else: self.put(a[0], self.result('u' + ty[1:], -self.typed(a[1], ty)), mask) def op_cvta(self, st, parts, a, mask): self.put(a[0], self.get(a[1]), mask) def op_mov(self, st, parts, a, mask): d, s = a if d.startswith('{'): names = self.vec(d) v = self.get(s) w = self.width(names[0]) for i, n in enumerate(names): self.put(n, (v >> np.uint64(i * w)) & np.uint64(MASK[w]), mask) return if s.startswith('{'): names = self.vec(s) w = self.width(names[0]) v = np.zeros(self.T, U64) for i, n in enumerate(names): v |= (self.get(n) & np.uint64(MASK[w])) << np.uint64(i * w) self.put(d, v, mask) return self.put(d, self.get(s), mask) if s in self.prov: self.prov[d] = self.prov[s] def op_ld(self, st, parts, a, mask): space = 'global' if 'global' in parts else 'shared' if 'shared' in parts else 'param' if 'param' in parts else None ty = parts[-1] vec = next((int(p[1:]) for p in parts if re.fullmatch(r'v\d', p)), 1) w = int(re.sub(r'\D', '', ty)) nbytes = w // 8 kind, addr = self.address(a[1]) total = nbytes * vec if kind == 'param': raw = np.frombuffer(self.mem.args, np.uint8) off = int(addr[0]) data = np.tile(raw[off:off + total], (self.T, 1)) elif space == 'param': # ld.param through a computed address (mov.b64 %rd, ; add; ld.param [%rd]) raw = np.frombuffer(self.mem.args, np.uint8) off = np.where(mask, addr - np.uint64(PARAM_BASE), 0).astype(np.int64) data = raw[off[:, None] + np.arange(total)] elif kind == 'shared' or space == 'shared': off = addr.astype(np.int64) data = self.shared_mem[off[:, None] + np.arange(total)] else: data = self.mem.load(addr, total, mask) names = self.vec(a[0]) if a[0].startswith('{') else [a[0]] for i, n in enumerate(names): chunk = data[:, i * nbytes:(i + 1) * nbytes] v = np.zeros(self.T, U64) for b in range(nbytes): v |= chunk[:, b].astype(U64) << np.uint64(8 * b) if ty.startswith('s') and w < self.width(n): v = (self.sext(v, w).astype(np.int64)).astype(U64) self.put(n, v, mask) self.prov[n] = (st.index, kind if kind != 'reg' else space, addr + np.uint64(i * nbytes), nbytes) def op_st(self, st, parts, a, mask): ty = parts[-1] vec = next((int(p[1:]) for p in parts if re.fullmatch(r'v\d', p)), 1) w = int(re.sub(r'\D', '', ty)) nbytes = w // 8 kind, addr = self.address(a[0]) names = self.vec(a[1]) if a[1].startswith('{') else [a[1]] raw = np.zeros((self.T, nbytes * len(names)), np.uint8) for i, n in enumerate(names): v = self.get(n, w) for b in range(nbytes): raw[:, i * nbytes + b] = ((v >> np.uint64(8 * b)) & np.uint64(0xff)).astype(np.uint8) if kind == 'shared' or 'shared' in parts: off = addr.astype(np.int64)[mask] self.shared_mem[off[:, None] + np.arange(raw.shape[1])] = raw[mask] else: self.mem.store(addr, raw, mask) def int_binop(self, parts, a, mask, fn): ty = parts[-1] x, y = self.typed(a[1], ty), self.typed(a[2], ty) self.put(a[0], self.result(ty if not ty.startswith('b') else 'u' + ty[1:], fn(x, y)), mask) def op_add(self, st, parts, a, mask): ty = parts[-1] if ty in ('f16', 'f32'): self.put(a[0], self.result(ty, self.typed(a[1], ty) + self.typed(a[2], ty)), mask) elif ty == 'f16x2': self.put(a[0], self.h2(a[1], a[2], lambda x, y: x + y), mask) else: self.int_binop(parts, a, mask, lambda x, y: x + y) def op_sub(self, st, parts, a, mask): ty = parts[-1] if ty in ('f16', 'f32'): self.put(a[0], self.result(ty, self.typed(a[1], ty) - self.typed(a[2], ty)), mask) elif ty == 'f16x2': self.put(a[0], self.h2(a[1], a[2], lambda x, y: x - y), mask) else: self.int_binop(parts, a, mask, lambda x, y: x - y) def op_mul(self, st, parts, a, mask): ty = parts[-1] if 'wide' in parts: w = int(re.sub(r'\D', '', ty)) x, y = self.typed(a[1], ty), self.typed(a[2], ty) self.put(a[0], (x * y).astype(np.int64).astype(U64), mask) elif ty in ('f16', 'f32'): self.put(a[0], self.result(ty, self.typed(a[1], ty) * self.typed(a[2], ty)), mask) elif ty == 'f16x2': self.put(a[0], self.h2(a[1], a[2], lambda x, y: x * y), mask) else: self.int_binop(parts, a, mask, lambda x, y: x * y) def op_mad(self, st, parts, a, mask): ty = parts[-1] x, y, z = self.typed(a[1], ty), self.typed(a[2], ty), self.typed(a[3], ty) self.put(a[0], self.result('u' + ty[1:], x * y + z), mask) def h2(self, sa, sb, fn, sc=None): va, vb = self.get(sa), self.get(sb) out = np.zeros(self.T, U64) for i in range(2): x = bits_to_f16(va >> np.uint64(16 * i)).astype(F64) y = bits_to_f16(vb >> np.uint64(16 * i)).astype(F64) if sc is not None: z = bits_to_f16(self.get(sc) >> np.uint64(16 * i)).astype(F64) r = fn(x, y, z) else: r = fn(x, y) out |= f16_to_bits(np.asarray(r).astype(F16)) << np.uint64(16 * i) return out def op_fma(self, st, parts, a, mask): ty = parts[-1] if ty == 'f16x2': self.put(a[0], self.h2(a[1], a[2], lambda x, y, z: x * y + z, a[3]), mask) elif ty in ('f16', 'f32'): self.put(a[0], self.result(ty, self.typed(a[1], ty) * self.typed(a[2], ty) + self.typed(a[3], ty)), mask) else: raise NotImplementedError(st.text) def minmax(self, parts, a, mask, is_max): ty = parts[-1] if ty == 'f16x2': f = np.fmax if is_max else np.fmin self.put(a[0], self.h2(a[1], a[2], f), mask) elif ty in ('f16', 'f32'): f = np.fmax if is_max else np.fmin self.put(a[0], self.result(ty, f(self.typed(a[1], ty), self.typed(a[2], ty))), mask) else: f = np.maximum if is_max else np.minimum self.int_binop(parts, a, mask, f) def op_min(self, st, parts, a, mask): self.minmax(parts, a, mask, False) def op_max(self, st, parts, a, mask): self.minmax(parts, a, mask, True) def op_abs(self, st, parts, a, mask): ty = parts[-1] if ty in ('f16x2', 'f16', 'f32'): m = {'f16x2': 0x7fff7fff, 'f16': 0x7fff, 'f32': 0x7fffffff}[ty] self.put(a[0], self.get(a[1]) & np.uint64(m), mask) return self.put(a[0], self.result('u' + ty[1:], np.abs(self.typed(a[1], ty))), mask) def logic(self, a, mask, fn): if self.width(a[0]) == 1: self.put(a[0], fn(self.get(a[1]), self.get(a[2])), mask) else: self.put(a[0], fn(self.get(a[1]), self.get(a[2])), mask) def op_and(self, st, parts, a, mask): self.logic(a, mask, lambda x, y: x & y) def op_or(self, st, parts, a, mask): self.logic(a, mask, lambda x, y: x | y) def op_xor(self, st, parts, a, mask): self.logic(a, mask, lambda x, y: x ^ y) def op_not(self, st, parts, a, mask): self.put(a[0], ~self.get(a[1]), mask) def op_shl(self, st, parts, a, mask): w = int(re.sub(r'\D', '', parts[-1])) n = self.get(a[2]) & np.uint64(0xff) v = np.where(n >= w, 0, (self.get(a[1]) << np.minimum(n, np.uint64(63)))) self.put(a[0], v.astype(U64), mask) def op_shr(self, st, parts, a, mask): ty = parts[-1] w = int(re.sub(r'\D', '', ty)) n = (self.get(a[2]) & np.uint64(0xff)).astype(np.int64) if ty.startswith('s'): v = self.sext(self.get(a[1]), w) r = v >> np.minimum(n, w - 1) self.put(a[0], r.astype(np.int64).astype(U64), mask) else: v = self.get(a[1]) & np.uint64(MASK[w]) r = np.where(n >= w, 0, v >> np.minimum(n, 63).astype(U64)) self.put(a[0], r.astype(U64), mask) def op_bfi(self, st, parts, a, mask): f, b = self.get(a[1]), self.get(a[2]) pos = self.get(a[3]).astype(np.int64) & 0xff ln = self.get(a[4]).astype(np.int64) & 0xff w = int(re.sub(r'\D', '', parts[-1])) out = np.array(b, U64) for i in range(self.T): p, l = int(pos[i]), int(ln[i]) if l == 0 or p >= w: continue l = min(l, w - p) m = ((1 << l) - 1) << p out[i] = (int(b[i]) & ~m & MASK[w]) | ((int(f[i]) << p) & m) self.put(a[0], out, mask) def op_setp(self, st, parts, a, mask): cmp, ty = parts[1], parts[-1] x, y = self.typed(a[1], ty), self.typed(a[2], ty) r = {'lt': x < y, 'le': x <= y, 'gt': x > y, 'ge': x >= y, 'eq': x == y, 'ne': x != y, 'lo': x < y, 'ls': x <= y, 'hi': x > y, 'hs': x >= y}[cmp] dests = a[0].split('|') self.put(dests[0], r, mask) def op_selp(self, st, parts, a, mask): p = self.get(a[3]) self.put(a[0], np.where(p, self.get(a[1]), self.get(a[2])), mask) def op_ex2(self, st, parts, a, mask): ty = parts[-1] v = self.get(a[1]) if ty == 'f16x2': out = np.zeros(self.T, U64) for i in range(2): h = bits_to_f16((v >> np.uint64(16 * i)) & np.uint64(0xffff)).astype(F64) out |= f16_to_bits(np.exp2(h).astype(F16)) << np.uint64(16 * i) self.put(a[0], out, mask) elif ty == 'f16': self.put(a[0], f16_to_bits(np.exp2(bits_to_f16(v).astype(F64)).astype(F16)), mask) elif ty == 'f32': self.put(a[0], f32_to_bits(np.exp2(bits_to_f32(v).astype(F64)).astype(F32)), mask) else: raise NotImplementedError(st.text) def op_rsqrt(self, st, parts, a, mask): x = self.typed(a[1], 'f32').astype(F32) with np.errstate(divide='ignore', invalid='ignore'): self.put(a[0], f32_to_bits((1.0 / np.sqrt(x.astype(F64))).astype(F32)), mask) def op_rcp(self, st, parts, a, mask): x = self.typed(a[1], 'f32') with np.errstate(divide='ignore'): self.put(a[0], f32_to_bits((1.0 / x).astype(F32)), mask) def op_div(self, st, parts, a, mask): x, y = self.typed(a[1], 'f32'), self.typed(a[2], 'f32') with np.errstate(divide='ignore', invalid='ignore'): self.put(a[0], f32_to_bits((x / y).astype(F32)), mask) def op_cvt(self, st, parts, a, mask): types = [p for p in parts[1:] if p not in ('rn', 'rz', 'rm', 'rp', 'rni', 'rzi', 'sat', 'satfinite', 'relu', 'ftz')] dt, stp = types[0], types[1] relu = 'relu' in parts v = self.get(a[1]) if dt == 'e4m3x2' and stp == 'f16x2': out = np.zeros(self.T, U64) for i in range(2): h = (v >> np.uint64(16 * i)) & np.uint64(0xffff) if relu: f = bits_to_f16(h) h = np.where((f < 0) & ~np.isnan(f.astype(F32)), 0, h).astype(U64) out |= F16_TO_E4M3[h.astype(np.int64)].astype(U64) << np.uint64(8 * i) self.put(a[0], out, mask) elif dt == 'f16x2' and stp == 'e4m3x2': out = np.zeros(self.T, U64) for i in range(2): c = ((v >> np.uint64(8 * i)) & np.uint64(0xff)).astype(np.int64) out |= f16_to_bits(E4M3[c].astype(F16)) << np.uint64(16 * i) self.put(a[0], out, mask) elif dt == 'f16' and stp == 'f32': self.put(a[0], f16_to_bits(bits_to_f32(v).astype(F16)), mask) elif dt == 'f16' and stp == 'f64': self.put(a[0], f16_to_bits(v.view(F64).astype(F16)), mask) elif dt == 'f32' and stp == 'f16': self.put(a[0], f32_to_bits(bits_to_f16(v).astype(F32)), mask) elif dt in ('f16', 'f32') and stp[0] in 'us': ws = int(re.sub(r'\D', '', stp)) iv = self.sext(v, ws) if stp[0] == 's' else (v & np.uint64(MASK[ws])).astype(np.int64) if dt == 'f16': self.put(a[0], f16_to_bits(iv.astype(F64).astype(F16)), mask) else: self.put(a[0], f32_to_bits(iv.astype(F64).astype(F32)), mask) elif dt[0] in 'us' and stp[0] in 'us': ws = int(re.sub(r'\D', '', stp)) val = self.sext(v, ws) if stp[0] == 's' else (v & np.uint64(MASK[ws])).astype(np.int64) self.put(a[0], val.astype(np.int64).astype(U64), mask) else: raise NotImplementedError(st.text) def op_shfl(self, st, parts, a, mask): mode = parts[2] v = self.get(a[1]) b = self.get(a[2]).astype(np.int64) out = np.array(v) for w in range(self.T // 32): sl = slice(32 * w, 32 * w + 32) lane = np.arange(32) if mode == 'bfly': src = lane ^ b[sl] elif mode == 'down': src = np.where(lane + b[sl] < 32, lane + b[sl], lane) elif mode == 'up': src = np.where(lane - b[sl] >= 0, lane - b[sl], lane) elif mode == 'idx': src = b[sl] & 31 out[sl] = v[sl][src] self.put(a[0], out, mask) def op_movmatrix(self, st, parts, a, mask): v = self.get(a[1]) out = np.zeros(self.T, U64) for w in range(self.T // 32): m = np.zeros((8, 8), U64) for lane in range(32): x = int(v[32 * w + lane]) r, c = lane // 4, (lane % 4) * 2 m[r, c], m[r, c + 1] = x & 0xffff, (x >> 16) & 0xffff mt = m.T for lane in range(32): r, c = lane // 4, (lane % 4) * 2 out[32 * w + lane] = int(mt[r, c]) | (int(mt[r, c + 1]) << 16) self.put(a[0], out, mask) def op_mma(self, st, parts, a, mask): shape = parts[3] d_names, a_names, b_names, c_names = (self.vec(x) for x in a) A = [self.get(n) for n in a_names] Bv = [self.get(n) for n in b_names] C = [self.get(n) for n in c_names] dout = [np.array(self.get(n)) for n in d_names] for w in range(self.T // 32): base = 32 * w if shape == 'm16n8k32': Am = np.zeros((16, 32)); Bm = np.zeros((32, 8)); Cm = np.zeros((16, 8)) for lane in range(32): g, t = lane >> 2, lane & 3 for i in range(16): byte = (int(A[i // 4][base + lane]) >> (8 * (i % 4))) & 0xff row = g if (i < 4 or 8 <= i < 12) else g + 8 col = t * 4 + (i & 3) + (16 if i >= 8 else 0) Am[row, col] = E4M3[byte] for i in range(8): byte = (int(Bv[i // 4][base + lane]) >> (8 * (i % 4))) & 0xff Bm[t * 4 + (i & 3) + (16 if i >= 4 else 0), g] = E4M3[byte] elif shape == 'm16n8k16': Am = np.zeros((16, 16)); Bm = np.zeros((16, 8)); Cm = np.zeros((16, 8)) for lane in range(32): g, t = lane >> 2, lane & 3 for i in range(8): h = (int(A[i // 2][base + lane]) >> (16 * (i % 2))) & 0xffff row = g if (i < 2 or 4 <= i < 6) else g + 8 col = t * 2 + (i & 1) + (8 if i >= 4 else 0) Am[row, col] = np.uint16(h).view(F16) for i in range(4): h = (int(Bv[i // 2][base + lane]) >> (16 * (i % 2))) & 0xffff Bm[t * 2 + (i & 1) + (8 if i >= 2 else 0), g] = np.uint16(h).view(F16) else: raise NotImplementedError(st.text) for lane in range(32): g, t = lane >> 2, lane & 3 for i in range(4): h = (int(C[i // 2][base + lane]) >> (16 * (i % 2))) & 0xffff Cm[g if i < 2 else g + 8, t * 2 + (i & 1)] = np.uint16(h).view(F16) Dm = (Am @ Bm + Cm).astype(F16) if self.mma_hook: self.mma_hook(self, st, w, Am, Bm, Cm, Dm, [self.prov.get(n) for n in a_names], [self.prov.get(n) for n in b_names]) for lane in range(32): g, t = lane >> 2, lane & 3 for r in range(2): lo = int(Dm[g + 8 * r, t * 2].view(np.uint16)) hi = int(Dm[g + 8 * r, t * 2 + 1].view(np.uint16)) dout[r][base + lane] = lo | (hi << 16) for n, v in zip(d_names, dout): self.put(n, v, mask) mma_hook = None # wmma.mma.sync.aligned.row.col.m16n16k16.f16.f16 with register fragments: two m16n8k16 MMAs # sharing A registers 0..3, B registers 0,1 / 2,3 and C/D registers 0,1 / 2,3 (the upper A and B # registers of the fragment ABI are duplicates; ZLUDA's LLVMZludaSplitWmmaM16n16k16 mapping) def op_wmma(self, st, parts, a, mask): if 'm16n16k16' not in parts or 'mma' not in parts: raise NotImplementedError(st.text) d_names, a_names, b_names, c_names = (self.vec(x) for x in a) for half in range(2): sub = Stmt_like(st, 'mma.sync.aligned.m16n8k16.row.col.f16.f16.f16.f16', ['{%s}' % ', '.join(d_names[2 * half:2 * half + 2]), '{%s}' % ', '.join(a_names[0:4]), '{%s}' % ', '.join(b_names[2 * half:2 * half + 2]), '{%s}' % ', '.join(c_names[2 * half:2 * half + 2])]) self.op_mma(sub, sub.op.split('.'), sub.args, mask) class Stmt_like: def __init__(self, st, op, args): self.op, self.args, self.text = op, args, st.text + f' [as {op}]' for k in Stmt.__slots__: if k not in ('op', 'args', 'text'): setattr(self, k, getattr(st, k, None)) def run_block(ptx, kernel, dump, ctaid, hooks=(), mma_hook=None, limit=None): stmts, types, shared = parse_kernel(ptx, kernel) mem = Memory(dump) launch = [l for l in open(dump + '/manifest.txt') if l.startswith('launch')][0].split() grid = tuple(int(x) for x in launch[1:4]) block = tuple(int(x) for x in launch[4:7]) b = Block(stmts, types, shared, mem, kernel + '_param_0', block, grid, ctaid) b.hooks = list(hooks) b.mma_hook = mma_hook steps = b.run(limit) return b, mem, steps if __name__ == '__main__': ptx, kernel, dump = sys.argv[1:4] cx, cy = (int(v) for v in sys.argv[4].split(',')) if len(sys.argv) > 4 else (0, 0) import time t0 = time.time() b, mem, steps = run_block(ptx, kernel, dump, (cx, cy, 0)) print(f'block ({cx},{cy}): {steps} statements in {time.time() - t0:.1f}s, {len(mem.stores)} store groups')