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Copy path_internals.py
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835 lines (692 loc) · 27 KB
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from __future__ import annotations
import os
import ctypes
from typing import (
List,
Optional,
Sequence,
)
from dataclasses import dataclass, field
from contextlib import ExitStack
import numpy as np
import numpy.typing as npt
from .llama_types import *
from .llama_grammar import LlamaGrammar
from ._utils import suppress_stdout_stderr
import llama_cpp.llama_cpp as llama_cpp
# Python wrappers over llama.h structs
class _LlamaModel:
"""Intermediate Python wrapper for a llama.cpp llama_model.
NOTE: For stability it's recommended you use the Llama class instead."""
def __init__(
self,
*,
path_model: str,
params: llama_cpp.llama_model_params,
verbose: bool = True,
):
self.path_model = path_model
self.params = params
self.verbose = verbose
self._exit_stack = ExitStack()
self.model = None
if not os.path.exists(path_model):
raise ValueError(f"Model path does not exist: {path_model}")
with suppress_stdout_stderr(disable=verbose):
self.model = llama_cpp.llama_load_model_from_file(
self.path_model.encode("utf-8"), self.params
)
if self.model is None:
raise ValueError(f"Failed to load model from file: {path_model}")
def free_model():
if self.model is None:
return
llama_cpp.llama_free_model(self.model)
self.model = None
self._exit_stack.callback(free_model)
def close(self):
self._exit_stack.close()
def vocab_type(self) -> int:
assert self.model is not None
return llama_cpp.llama_vocab_type(self.model)
def n_vocab(self) -> int:
assert self.model is not None
return llama_cpp.llama_n_vocab(self.model)
def n_ctx_train(self) -> int:
assert self.model is not None
return llama_cpp.llama_n_ctx_train(self.model)
def n_embd(self) -> int:
assert self.model is not None
return llama_cpp.llama_n_embd(self.model)
def rope_freq_scale_train(self) -> float:
assert self.model is not None
return llama_cpp.llama_rope_freq_scale_train(self.model)
def desc(self) -> str:
assert self.model is not None
buf = ctypes.create_string_buffer(1024)
llama_cpp.llama_model_desc(self.model, buf, 1024)
return buf.value.decode("utf-8")
def size(self) -> int:
assert self.model is not None
return llama_cpp.llama_model_size(self.model)
def n_params(self) -> int:
assert self.model is not None
return llama_cpp.llama_model_n_params(self.model)
def get_tensor(self, name: str) -> ctypes.c_void_p:
assert self.model is not None
return llama_cpp.llama_get_model_tensor(self.model, name.encode("utf-8"))
def apply_lora_from_file(
self,
lora_path: str,
scale: float,
path_base_model: Optional[str],
n_threads: int,
):
assert self.model is not None
return llama_cpp.llama_model_apply_lora_from_file(
self.model,
lora_path.encode("utf-8"),
scale,
path_base_model.encode("utf-8")
if path_base_model is not None
else ctypes.c_char_p(0),
n_threads,
)
# Vocab
def token_get_text(self, token: int) -> str:
# TODO: Fix
assert self.model is not None
return llama_cpp.llama_token_get_text(self.model, token).decode("utf-8")
def token_get_score(self, token: int) -> float:
assert self.model is not None
return llama_cpp.llama_token_get_score(self.model, token)
def token_get_attr(self, token: int) -> int:
assert self.model is not None
return llama_cpp.llama_token_get_attr(self.model, token)
# Special tokens
def token_bos(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_bos(self.model)
def token_eos(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_eos(self.model)
def token_cls(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_cls(self.model)
def token_sep(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_sep(self.model)
def token_nl(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_nl(self.model)
def token_prefix(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_prefix(self.model)
def token_middle(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_middle(self.model)
def token_suffix(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_suffix(self.model)
def token_eot(self) -> int:
assert self.model is not None
return llama_cpp.llama_token_eot(self.model)
def add_bos_token(self) -> int:
assert self.model is not None
return llama_cpp.llama_add_bos_token(self.model)
def add_eos_token(self) -> int:
assert self.model is not None
return llama_cpp.llama_add_eos_token(self.model)
# Tokenization
def tokenize(self, text: bytes, add_bos: bool, special: bool):
assert self.model is not None
n_ctx = self.n_ctx_train()
tokens = (llama_cpp.llama_token * n_ctx)()
n_tokens = llama_cpp.llama_tokenize(
self.model, text, len(text), tokens, n_ctx, add_bos, special
)
if n_tokens < 0:
n_tokens = abs(n_tokens)
tokens = (llama_cpp.llama_token * n_tokens)()
n_tokens = llama_cpp.llama_tokenize(
self.model, text, len(text), tokens, n_tokens, add_bos, special
)
if n_tokens < 0:
raise RuntimeError(
f'Failed to tokenize: text="{text}" n_tokens={n_tokens}'
)
return list(tokens[:n_tokens])
def token_to_piece(self, token: int, special: bool = False) -> bytes:
assert self.model is not None
buf = ctypes.create_string_buffer(32)
llama_cpp.llama_token_to_piece(self.model, token, buf, 32, special)
return bytes(buf)
def detokenize(self, tokens: List[int], special: bool = False) -> bytes:
assert self.model is not None
output = b""
size = 32
buffer = (ctypes.c_char * size)()
for token in tokens:
n = llama_cpp.llama_token_to_piece(
self.model, llama_cpp.llama_token(token), buffer, size, special
)
assert n <= size
output += bytes(buffer[:n])
# NOTE: Llama1 models automatically added a space at the start of the prompt
# this line removes a leading space if the first token is a beginning of sentence token
return (
output[1:] if len(tokens) > 0 and tokens[0] == self.token_bos() and output[0:1] == b' ' else output
)
# Extra
def metadata(self) -> Dict[str, str]:
assert self.model is not None
metadata: Dict[str, str] = {}
buffer_size = 1024
buffer = ctypes.create_string_buffer(buffer_size)
# zero the buffer
buffer.value = b'\0' * buffer_size
# iterate over model keys
for i in range(llama_cpp.llama_model_meta_count(self.model)):
nbytes = llama_cpp.llama_model_meta_key_by_index(self.model, i, buffer, buffer_size)
if nbytes > buffer_size:
buffer_size = nbytes + 1
buffer = ctypes.create_string_buffer(buffer_size)
nbytes = llama_cpp.llama_model_meta_key_by_index(self.model, i, buffer, buffer_size)
key = buffer.value.decode("utf-8")
nbytes = llama_cpp.llama_model_meta_val_str_by_index(self.model, i, buffer, buffer_size)
if nbytes > buffer_size:
buffer_size = nbytes + 1
buffer = ctypes.create_string_buffer(buffer_size)
nbytes = llama_cpp.llama_model_meta_val_str_by_index(self.model, i, buffer, buffer_size)
value = buffer.value.decode("utf-8")
metadata[key] = value
return metadata
@staticmethod
def default_params():
"""Get the default llama_model_params."""
return llama_cpp.llama_model_default_params()
class _LlamaContext:
"""Intermediate Python wrapper for a llama.cpp llama_context.
NOTE: For stability it's recommended you use the Llama class instead."""
def __init__(
self,
*,
model: _LlamaModel,
params: llama_cpp.llama_context_params,
verbose: bool = True,
):
self.model = model
self.params = params
self.verbose = verbose
self._exit_stack = ExitStack()
self.ctx = None
assert self.model.model is not None
self.ctx = llama_cpp.llama_new_context_with_model(self.model.model, self.params)
if self.ctx is None:
raise ValueError("Failed to create llama_context")
def free_ctx():
if self.ctx is None:
return
llama_cpp.llama_free(self.ctx)
self.ctx = None
self._exit_stack.callback(free_ctx)
def close(self):
self._exit_stack.close()
def n_ctx(self) -> int:
assert self.ctx is not None
return llama_cpp.llama_n_ctx(self.ctx)
def pooling_type(self) -> int:
assert self.ctx is not None
return llama_cpp.llama_pooling_type(self.ctx)
def kv_cache_clear(self):
assert self.ctx is not None
llama_cpp.llama_kv_cache_clear(self.ctx)
def kv_cache_seq_rm(self, seq_id: int, p0: int, p1: int):
assert self.ctx is not None
llama_cpp.llama_kv_cache_seq_rm(self.ctx, seq_id, p0, p1)
def kv_cache_seq_cp(self, seq_id_src: int, seq_id_dst: int, p0: int, p1: int):
assert self.ctx is not None
llama_cpp.llama_kv_cache_seq_cp(self.ctx, seq_id_src, seq_id_dst, p0, p1)
def kv_cache_seq_keep(self, seq_id: int):
assert self.ctx is not None
llama_cpp.llama_kv_cache_seq_keep(self.ctx, seq_id)
def kv_cache_seq_shift(self, seq_id: int, p0: int, p1: int, shift: int):
assert self.ctx is not None
llama_cpp.llama_kv_cache_seq_add(self.ctx, seq_id, p0, p1, shift)
def get_state_size(self) -> int:
assert self.ctx is not None
return llama_cpp.llama_get_state_size(self.ctx)
# TODO: copy_state_data
# TODO: set_state_data
# TODO: llama_load_session_file
# TODO: llama_save_session_file
def decode(self, batch: "_LlamaBatch"):
assert self.ctx is not None
assert batch.batch is not None
return_code = llama_cpp.llama_decode(
self.ctx,
batch.batch,
)
if return_code != 0:
raise RuntimeError(f"llama_decode returned {return_code}")
def set_n_threads(self, n_threads: int, n_threads_batch: int):
assert self.ctx is not None
llama_cpp.llama_set_n_threads(self.ctx, n_threads, n_threads_batch)
def get_logits(self):
assert self.ctx is not None
return llama_cpp.llama_get_logits(self.ctx)
def get_logits_ith(self, i: int):
assert self.ctx is not None
return llama_cpp.llama_get_logits_ith(self.ctx, i)
def get_embeddings(self):
assert self.ctx is not None
return llama_cpp.llama_get_embeddings(self.ctx)
# Sampling functions
def set_rng_seed(self, seed: int):
assert self.ctx is not None
llama_cpp.llama_set_rng_seed(self.ctx, seed)
def sample_repetition_penalties(
self,
candidates: "_LlamaTokenDataArray",
last_tokens_data: "llama_cpp.Array[llama_cpp.llama_token]",
penalty_last_n: int,
penalty_repeat: float,
penalty_freq: float,
penalty_present: float,
):
assert self.ctx is not None
llama_cpp.llama_sample_repetition_penalties(
self.ctx,
llama_cpp.byref(candidates.candidates),
last_tokens_data,
penalty_last_n,
penalty_repeat,
penalty_freq,
penalty_present,
)
def sample_softmax(self, candidates: "_LlamaTokenDataArray"):
assert self.ctx is not None
llama_cpp.llama_sample_softmax(
self.ctx,
llama_cpp.byref(candidates.candidates),
)
def sample_top_k(self, candidates: "_LlamaTokenDataArray", k: int, min_keep: int):
assert self.ctx is not None
llama_cpp.llama_sample_top_k(
self.ctx, llama_cpp.byref(candidates.candidates), k, min_keep
)
def sample_top_p(self, candidates: "_LlamaTokenDataArray", p: float, min_keep: int):
assert self.ctx is not None
llama_cpp.llama_sample_top_p(
self.ctx, llama_cpp.byref(candidates.candidates), p, min_keep
)
def sample_min_p(self, candidates: "_LlamaTokenDataArray", p: float, min_keep: int):
assert self.ctx is not None
llama_cpp.llama_sample_min_p(
self.ctx, llama_cpp.byref(candidates.candidates), p, min_keep
)
def sample_tail_free(
self, candidates: "_LlamaTokenDataArray", z: float, min_keep: int
):
assert self.ctx is not None
llama_cpp.llama_sample_tail_free(
self.ctx, llama_cpp.byref(candidates.candidates), z, min_keep
)
def sample_typical(
self, candidates: "_LlamaTokenDataArray", p: float, min_keep: int
):
assert self.ctx is not None
llama_cpp.llama_sample_typical(
self.ctx, llama_cpp.byref(candidates.candidates), p, min_keep
)
def sample_temp(self, candidates: "_LlamaTokenDataArray", temp: float):
assert self.ctx is not None
llama_cpp.llama_sample_temp(
self.ctx, llama_cpp.byref(candidates.candidates), temp
)
def sample_grammar(self, candidates: "_LlamaTokenDataArray", grammar: LlamaGrammar):
assert self.ctx is not None
assert grammar.grammar is not None
llama_cpp.llama_sample_grammar(
self.ctx,
llama_cpp.byref(candidates.candidates),
grammar.grammar,
)
def sample_token_mirostat(
self,
candidates: "_LlamaTokenDataArray",
tau: float,
eta: float,
m: int,
mu: llama_cpp.CtypesPointerOrRef[ctypes.c_float],
) -> int:
assert self.ctx is not None
return llama_cpp.llama_sample_token_mirostat(
self.ctx,
llama_cpp.byref(candidates.candidates),
tau,
eta,
m,
mu,
)
def sample_token_mirostat_v2(
self, candidates: "_LlamaTokenDataArray", tau: float, eta: float, mu: llama_cpp.CtypesPointerOrRef[ctypes.c_float]
) -> int:
assert self.ctx is not None
return llama_cpp.llama_sample_token_mirostat_v2(
self.ctx,
llama_cpp.byref(candidates.candidates),
tau,
eta,
mu,
)
def sample_token_greedy(self, candidates: "_LlamaTokenDataArray") -> int:
assert self.ctx is not None
return llama_cpp.llama_sample_token_greedy(
self.ctx,
llama_cpp.byref(candidates.candidates),
)
def sample_token(self, candidates: "_LlamaTokenDataArray") -> int:
assert self.ctx is not None
return llama_cpp.llama_sample_token(
self.ctx,
llama_cpp.byref(candidates.candidates),
)
# Grammar
def grammar_accept_token(self, grammar: LlamaGrammar, token: int):
assert self.ctx is not None
assert grammar.grammar is not None
llama_cpp.llama_grammar_accept_token(self.ctx, grammar.grammar, token)
def reset_timings(self):
assert self.ctx is not None
llama_cpp.llama_reset_timings(self.ctx)
def print_timings(self):
assert self.ctx is not None
llama_cpp.llama_print_timings(self.ctx)
# Utility functions
@staticmethod
def default_params():
"""Get the default llama_context_params."""
return llama_cpp.llama_context_default_params()
class _LlamaBatch:
def __init__(
self, *, n_tokens: int, embd: int, n_seq_max: int, verbose: bool = True
):
self._n_tokens = n_tokens
self.embd = embd
self.n_seq_max = n_seq_max
self.verbose = verbose
self._exit_stack = ExitStack()
self.batch = None
self.batch = llama_cpp.llama_batch_init(
self._n_tokens, self.embd, self.n_seq_max
)
def free_batch():
if self.batch is None:
return
llama_cpp.llama_batch_free(self.batch)
self.batch = None
self._exit_stack.callback(free_batch)
def close(self):
self._exit_stack.close()
def n_tokens(self) -> int:
assert self.batch is not None
return self.batch.n_tokens
def reset(self):
assert self.batch is not None
self.batch.n_tokens = 0
def set_batch(self, batch: Sequence[int], n_past: int, logits_all: bool):
assert self.batch is not None
n_tokens = len(batch)
self.batch.n_tokens = n_tokens
for i in range(n_tokens):
self.batch.token[i] = batch[i]
self.batch.pos[i] = n_past + i
self.batch.seq_id[i][0] = 0
self.batch.n_seq_id[i] = 1
self.batch.logits[i] = logits_all
self.batch.logits[n_tokens - 1] = True
def add_sequence(self, batch: Sequence[int], seq_id: int, logits_all: bool):
assert self.batch is not None
n_tokens = len(batch)
n_tokens0 = self.batch.n_tokens
self.batch.n_tokens += n_tokens
for i in range(n_tokens):
j = n_tokens0 + i
self.batch.token[j] = batch[i]
self.batch.pos[j] = i
self.batch.seq_id[j][0] = seq_id
self.batch.n_seq_id[j] = 1
self.batch.logits[j] = logits_all
self.batch.logits[n_tokens - 1] = True
class _LlamaTokenDataArray:
def __init__(self, *, n_vocab: int):
self.n_vocab = n_vocab
self.candidates_data = np.recarray(
(self.n_vocab,),
dtype=np.dtype(
[("id", np.intc), ("logit", np.single), ("p", np.single)], align=True
),
)
self.candidates = llama_cpp.llama_token_data_array(
data=self.candidates_data.ctypes.data_as(llama_cpp.llama_token_data_p),
size=self.n_vocab,
sorted=False,
)
self.default_candidates_data_id = np.arange(self.n_vocab, dtype=np.intc) # type: ignore
self.default_candidates_data_p = np.zeros(self.n_vocab, dtype=np.single)
def copy_logits(self, logits: npt.NDArray[np.single]):
self.candidates_data.id[:] = self.default_candidates_data_id
self.candidates_data.logit[:] = logits
self.candidates_data.p[:] = self.default_candidates_data_p
self.candidates.sorted = False
self.candidates.size = self.n_vocab
# Python wrappers over common/common
def _tokenize(model: _LlamaModel, text: str, add_bos: bool, special: bool) -> list[int]:
assert model.model is not None
n_tokens = len(text) + 1 if add_bos else len(text)
result = (llama_cpp.llama_token * n_tokens)()
n_tokens = llama_cpp.llama_tokenize(
model.model,
text.encode("utf-8"),
len(text),
result,
n_tokens,
add_bos,
special,
)
if n_tokens < 0:
result = (llama_cpp.llama_token * -n_tokens)()
check = llama_cpp.llama_tokenize(
model.model,
text.encode("utf-8"),
len(text),
result,
len(result),
add_bos,
special,
)
if check != -n_tokens:
raise RuntimeError(f'Failed to tokenize: text="{text}" n_tokens={n_tokens}')
else:
result = result[:n_tokens]
return list(result)
def _token_to_piece(model: _LlamaModel, token: int, special: bool = False) -> str:
assert model.model is not None
result = (ctypes.c_char * 8)(0)
n_tokens = llama_cpp.llama_token_to_piece(model.model, token, result, len(result), special)
if n_tokens < 0:
result = (ctypes.c_char * -n_tokens)(0)
check = llama_cpp.llama_token_to_piece(model.model, token, result, len(result), special)
if check != -n_tokens:
raise RuntimeError(f"Failed to get piece: token={token}")
else:
result = result[:n_tokens]
return bytes(result).decode("utf-8")
def _detokenize_spm(model: _LlamaModel, tokens: List[int]) -> str:
bos_id = model.token_bos()
result = ""
for i, token in enumerate(tokens):
piece = _token_to_piece(model, token)
if (
(tokens[0] == bos_id and i == 1) or (tokens[0] != bos_id and i == 0)
) and piece[0] == " ":
piece = piece[1:]
result += piece
return result
def _detokenize_bpe(model: _LlamaModel, tokens: List[int]) -> str:
result = ""
for token in tokens:
piece = _token_to_piece(model, token)
result += piece
return result
def _should_add_bos(model: _LlamaModel) -> bool:
assert model.model is not None
add_bos = llama_cpp.llama_add_bos_token(model.model)
if add_bos != -1:
return add_bos != 0
else:
return llama_cpp.llama_vocab_type(model.model) == llama_cpp.LLAMA_VOCAB_TYPE_SPM
# Embedding functions
def _normalize_embedding(embedding):
norm = float(np.linalg.norm(embedding))
if norm == 0.0:
return embedding
return [v / norm for v in embedding]
# Python wrappers over common/sampling structs
@dataclass
class _LlamaSamplingParams:
n_prev: int = 64
n_probs: int = 0
top_k: int = 40
top_p: float = 0.95
min_p: float = 0.05
tfs_z: float = 1.00
typical_p: float = 1.00
temp: float = 0.80
penalty_last_n: int = 64
penalty_repeat: float = 1.10
penalty_freq: float = 0.00
penalty_present: float = 0.00
mirostat: int = 0
mirostat_tau: float = 5.00
mirostat_eta: float = 0.10
penalize_nl: bool = True
grammar: str = ""
cfg_negative_prompt: str = ""
cfg_scale: float = 1.00
logit_bias: dict[int, float] = field(default_factory=dict)
@dataclass
class _LlamaSamplingContext:
params: _LlamaSamplingParams = field(default_factory=_LlamaSamplingParams)
mirostat_mu: ctypes.c_float = field(default_factory=ctypes.c_float)
grammar: Optional[LlamaGrammar] = None
# NOTE: Missing parsed_grammar
prev: list[int] = field(default_factory=list)
cur: list[llama_cpp.llama_token_data] = field(default_factory=list)
def reset(self):
self.prev = []
self.cur = []
if self.grammar is not None:
self.grammar.reset()
def cp(self):
return _LlamaSamplingContext(
params=self.params,
mirostat_mu=self.mirostat_mu,
grammar=self.grammar,
prev=self.prev.copy(),
cur=self.cur.copy(),
)
def last(self) -> Optional[int]:
if len(self.prev) > 0:
return self.prev[-1]
else:
return None
def prev_str(self, ctx_main: _LlamaContext, n: int) -> str:
return ctx_main.model.detokenize(self.prev[-n:]).decode("utf-8")
def sample(
self, ctx_main: _LlamaContext, idx: int = 0, logits_array: Optional[npt.NDArray[np.single]] = None
):
n_vocab = ctx_main.model.n_vocab()
id: int = 0
if logits_array is None:
logits = ctx_main.get_logits_ith(idx)
logits_array = np.array(
ctypes.cast(logits, ctypes.POINTER(ctypes.c_float * n_vocab)).contents,
dtype=np.single,
)
# apply logit_bias
for token, logit_bias in self.params.logit_bias.items():
logits_array[token] += logit_bias
token_data_array = _LlamaTokenDataArray(
n_vocab=n_vocab
) # TODO: Only create this once
token_data_array.copy_logits(logits_array)
# apply penalties
if len(self.prev) > 0:
nl_token = ctx_main.model.token_nl()
nl_logit = logits_array[nl_token]
last_tokens = self.prev[-self.params.penalty_last_n:]
last_tokens_size = min(len(last_tokens), self.params.penalty_last_n)
if last_tokens_size > 0:
last_tokens_p = (llama_cpp.llama_token * len(last_tokens))(*last_tokens)
ctx_main.sample_repetition_penalties(
token_data_array,
last_tokens_p,
last_tokens_size,
self.params.penalty_repeat,
self.params.penalty_freq,
self.params.penalty_present,
)
if not self.params.penalize_nl:
token_data_array.candidates_data.logit[nl_token] = nl_logit
if self.grammar is not None:
ctx_main.sample_grammar(token_data_array, self.grammar)
if self.params.temp < 0:
ctx_main.sample_softmax(token_data_array)
id = token_data_array.candidates_data.id[0]
elif self.params.temp == 0:
id = ctx_main.sample_token_greedy(token_data_array)
else:
if self.params.mirostat == 1:
mirostat_m = 100
ctx_main.sample_temp(token_data_array, self.params.temp)
id = ctx_main.sample_token_mirostat(
token_data_array,
self.params.mirostat_tau,
self.params.mirostat_eta,
mirostat_m,
ctypes.pointer(self.mirostat_mu),
)
elif self.params.mirostat == 2:
ctx_main.sample_temp(token_data_array, self.params.temp)
id = ctx_main.sample_token_mirostat_v2(
token_data_array,
self.params.mirostat_tau,
self.params.mirostat_eta,
ctypes.pointer(self.mirostat_mu),
)
else:
min_keep = max(1, self.params.n_probs)
ctx_main.sample_top_k(
token_data_array, self.params.top_k, min_keep=min_keep
)
ctx_main.sample_tail_free(
token_data_array, self.params.tfs_z, min_keep=min_keep
)
ctx_main.sample_typical(
token_data_array, self.params.typical_p, min_keep=min_keep
)
ctx_main.sample_top_p(
token_data_array, self.params.top_p, min_keep=min_keep
)
ctx_main.sample_min_p(
token_data_array, self.params.min_p, min_keep=min_keep
)
ctx_main.sample_temp(token_data_array, self.params.temp)
id = ctx_main.sample_token(token_data_array)
return id
def accept(self, ctx_main: _LlamaContext, id: int, apply_grammar: bool):
if apply_grammar and self.grammar is not None:
ctx_main.grammar_accept_token(self.grammar, id)
self.prev.append(id)