tinygrad/examples/stable_diffusion.py

693 lines
24 KiB
Python

# https://arxiv.org/pdf/2112.10752.pdf
# https://github.com/ekagra-ranjan/huggingface-blog/blob/main/stable_diffusion.md
import os
import tempfile
from pathlib import Path
import gzip, argparse, math, re
from functools import lru_cache
from collections import namedtuple
import numpy as np
from tqdm import tqdm
from tinygrad.tensor import Tensor
from tinygrad.nn import Conv2d, Linear, GroupNorm, LayerNorm
from extra.utils import download_file
from tinygrad.state import torch_load, load_state_dict
# TODO: refactor AttnBlock, CrossAttention, CLIPAttention to share code
class AttnBlock:
def __init__(self, in_channels):
self.norm = GroupNorm(32, in_channels)
self.q = Conv2d(in_channels, in_channels, 1)
self.k = Conv2d(in_channels, in_channels, 1)
self.v = Conv2d(in_channels, in_channels, 1)
self.proj_out = Conv2d(in_channels, in_channels, 1)
# copied from AttnBlock in ldm repo
def __call__(self, x):
h_ = self.norm(x)
q,k,v = self.q(h_), self.k(h_), self.v(h_)
# compute attention
b,c,h,w = q.shape
q = q.reshape(b,c,h*w)
q = q.permute(0,2,1) # b,hw,c
k = k.reshape(b,c,h*w) # b,c,hw
w_ = q @ k
w_ = w_ * (c**(-0.5))
w_ = w_.softmax()
# attend to values
v = v.reshape(b,c,h*w)
w_ = w_.permute(0,2,1)
h_ = v @ w_
h_ = h_.reshape(b,c,h,w)
return x + self.proj_out(h_)
class ResnetBlock:
def __init__(self, in_channels, out_channels=None):
self.norm1 = GroupNorm(32, in_channels)
self.conv1 = Conv2d(in_channels, out_channels, 3, padding=1)
self.norm2 = GroupNorm(32, out_channels)
self.conv2 = Conv2d(out_channels, out_channels, 3, padding=1)
self.nin_shortcut = Conv2d(in_channels, out_channels, 1) if in_channels != out_channels else lambda x: x
def __call__(self, x):
h = self.conv1(self.norm1(x).swish())
h = self.conv2(self.norm2(h).swish())
return self.nin_shortcut(x) + h
class Mid:
def __init__(self, block_in):
self.block_1 = ResnetBlock(block_in, block_in)
self.attn_1 = AttnBlock(block_in)
self.block_2 = ResnetBlock(block_in, block_in)
def __call__(self, x):
return x.sequential([self.block_1, self.attn_1, self.block_2])
class Decoder:
def __init__(self):
sz = [(128, 256), (256, 512), (512, 512), (512, 512)]
self.conv_in = Conv2d(4,512,3, padding=1)
self.mid = Mid(512)
arr = []
for i,s in enumerate(sz):
arr.append({"block":
[ResnetBlock(s[1], s[0]),
ResnetBlock(s[0], s[0]),
ResnetBlock(s[0], s[0])]})
if i != 0: arr[-1]['upsample'] = {"conv": Conv2d(s[0], s[0], 3, padding=1)}
self.up = arr
self.norm_out = GroupNorm(32, 128)
self.conv_out = Conv2d(128, 3, 3, padding=1)
def __call__(self, x):
x = self.conv_in(x)
x = self.mid(x)
for l in self.up[::-1]:
print("decode", x.shape)
for b in l['block']: x = b(x)
if 'upsample' in l:
# https://pytorch.org/docs/stable/generated/torch.nn.functional.interpolate.html ?
bs,c,py,px = x.shape
x = x.reshape(bs, c, py, 1, px, 1).expand(bs, c, py, 2, px, 2).reshape(bs, c, py*2, px*2)
x = l['upsample']['conv'](x)
x.realize()
return self.conv_out(self.norm_out(x).swish())
class Encoder:
def __init__(self):
sz = [(128, 128), (128, 256), (256, 512), (512, 512)]
self.conv_in = Conv2d(3,128,3, padding=1)
arr = []
for i,s in enumerate(sz):
arr.append({"block":
[ResnetBlock(s[0], s[1]),
ResnetBlock(s[1], s[1])]})
if i != 3: arr[-1]['downsample'] = {"conv": Conv2d(s[1], s[1], 3, stride=2, padding=(0,1,0,1))}
self.down = arr
self.mid = Mid(512)
self.norm_out = GroupNorm(32, 512)
self.conv_out = Conv2d(512, 8, 3, padding=1)
def __call__(self, x):
x = self.conv_in(x)
for l in self.down:
print("encode", x.shape)
for b in l['block']: x = b(x)
if 'downsample' in l: x = l['downsample']['conv'](x)
x = self.mid(x)
return self.conv_out(self.norm_out(x).swish())
class AutoencoderKL:
def __init__(self):
self.encoder = Encoder()
self.decoder = Decoder()
self.quant_conv = Conv2d(8, 8, 1)
self.post_quant_conv = Conv2d(4, 4, 1)
def __call__(self, x):
latent = self.encoder(x)
latent = self.quant_conv(latent)
latent = latent[:, 0:4] # only the means
print("latent", latent.shape)
latent = self.post_quant_conv(latent)
return self.decoder(latent)
# not to be confused with ResnetBlock
class ResBlock:
def __init__(self, channels, emb_channels, out_channels):
self.in_layers = [
GroupNorm(32, channels),
Tensor.silu,
Conv2d(channels, out_channels, 3, padding=1)
]
self.emb_layers = [
Tensor.silu,
Linear(emb_channels, out_channels)
]
self.out_layers = [
GroupNorm(32, out_channels),
Tensor.silu,
lambda x: x, # needed for weights loading code to work
Conv2d(out_channels, out_channels, 3, padding=1)
]
self.skip_connection = Conv2d(channels, out_channels, 1) if channels != out_channels else lambda x: x
def __call__(self, x, emb):
h = x.sequential(self.in_layers)
emb_out = emb.sequential(self.emb_layers)
h = h + emb_out.reshape(*emb_out.shape, 1, 1)
h = h.sequential(self.out_layers)
ret = self.skip_connection(x) + h
return ret
class CrossAttention:
def __init__(self, query_dim, context_dim, n_heads, d_head):
self.to_q = Linear(query_dim, n_heads*d_head, bias=False)
self.to_k = Linear(context_dim, n_heads*d_head, bias=False)
self.to_v = Linear(context_dim, n_heads*d_head, bias=False)
self.scale = d_head ** -0.5
self.num_heads = n_heads
self.head_size = d_head
self.to_out = [Linear(n_heads*d_head, query_dim)]
def __call__(self, x, context=None):
context = x if context is None else context
q,k,v = self.to_q(x), self.to_k(context), self.to_v(context)
q = q.reshape(x.shape[0], -1, self.num_heads, self.head_size).permute(0,2,1,3) # (bs, num_heads, time, head_size)
k = k.reshape(x.shape[0], -1, self.num_heads, self.head_size).permute(0,2,3,1) # (bs, num_heads, head_size, time)
v = v.reshape(x.shape[0], -1, self.num_heads, self.head_size).permute(0,2,1,3) # (bs, num_heads, time, head_size)
score = q.dot(k) * self.scale
weights = score.softmax() # (bs, num_heads, time, time)
attention = weights.dot(v).permute(0,2,1,3) # (bs, time, num_heads, head_size)
h_ = attention.reshape(shape=(x.shape[0], -1, self.num_heads * self.head_size))
return h_.sequential(self.to_out)
class GEGLU:
def __init__(self, dim_in, dim_out):
self.proj = Linear(dim_in, dim_out * 2)
self.dim_out = dim_out
def __call__(self, x):
x, gate = self.proj(x).chunk(2, dim=-1)
return x * gate.gelu()
class FeedForward:
def __init__(self, dim, mult=4):
self.net = [
GEGLU(dim, dim*mult),
lambda x: x, # needed for weights loading code to work
Linear(dim*mult, dim)
]
def __call__(self, x):
return x.sequential(self.net)
class BasicTransformerBlock:
def __init__(self, dim, context_dim, n_heads, d_head):
self.attn1 = CrossAttention(dim, dim, n_heads, d_head)
self.ff = FeedForward(dim)
self.attn2 = CrossAttention(dim, context_dim, n_heads, d_head)
self.norm1 = LayerNorm(dim)
self.norm2 = LayerNorm(dim)
self.norm3 = LayerNorm(dim)
def __call__(self, x, context=None):
x = self.attn1(self.norm1(x)) + x
x = self.attn2(self.norm2(x), context=context) + x
x = self.ff(self.norm3(x)) + x
return x
class SpatialTransformer:
def __init__(self, channels, context_dim, n_heads, d_head):
self.norm = GroupNorm(32, channels)
assert channels == n_heads * d_head
self.proj_in = Conv2d(channels, n_heads * d_head, 1)
self.transformer_blocks = [BasicTransformerBlock(channels, context_dim, n_heads, d_head)]
self.proj_out = Conv2d(n_heads * d_head, channels, 1)
def __call__(self, x, context=None):
b, c, h, w = x.shape
x_in = x
x = self.norm(x)
x = self.proj_in(x)
x = x.reshape(b, c, h*w).permute(0,2,1)
for block in self.transformer_blocks:
x = block(x, context=context)
x = x.permute(0,2,1).reshape(b, c, h, w)
ret = self.proj_out(x) + x_in
return ret
class Downsample:
def __init__(self, channels):
self.op = Conv2d(channels, channels, 3, stride=2, padding=1)
def __call__(self, x):
return self.op(x)
class Upsample:
def __init__(self, channels):
self.conv = Conv2d(channels, channels, 3, padding=1)
def __call__(self, x):
bs,c,py,px = x.shape
x = x.reshape(bs, c, py, 1, px, 1).expand(bs, c, py, 2, px, 2).reshape(bs, c, py*2, px*2)
return self.conv(x)
def timestep_embedding(timesteps, dim, max_period=10000):
half = dim // 2
freqs = np.exp(-math.log(max_period) * np.arange(0, half, dtype=np.float32) / half)
args = timesteps * freqs
embedding = np.concatenate([np.cos(args), np.sin(args)])
return Tensor(embedding).reshape(1, -1)
class UNetModel:
def __init__(self):
self.time_embed = [
Linear(320, 1280),
Tensor.silu,
Linear(1280, 1280),
]
self.input_blocks = [
[Conv2d(4, 320, kernel_size=3, padding=1)],
[ResBlock(320, 1280, 320), SpatialTransformer(320, 768, 8, 40)],
[ResBlock(320, 1280, 320), SpatialTransformer(320, 768, 8, 40)],
[Downsample(320)],
[ResBlock(320, 1280, 640), SpatialTransformer(640, 768, 8, 80)],
[ResBlock(640, 1280, 640), SpatialTransformer(640, 768, 8, 80)],
[Downsample(640)],
[ResBlock(640, 1280, 1280), SpatialTransformer(1280, 768, 8, 160)],
[ResBlock(1280, 1280, 1280), SpatialTransformer(1280, 768, 8, 160)],
[Downsample(1280)],
[ResBlock(1280, 1280, 1280)],
[ResBlock(1280, 1280, 1280)]
]
self.middle_block = [
ResBlock(1280, 1280, 1280),
SpatialTransformer(1280, 768, 8, 160),
ResBlock(1280, 1280, 1280)
]
self.output_blocks = [
[ResBlock(2560, 1280, 1280)],
[ResBlock(2560, 1280, 1280)],
[ResBlock(2560, 1280, 1280), Upsample(1280)],
[ResBlock(2560, 1280, 1280), SpatialTransformer(1280, 768, 8, 160)],
[ResBlock(2560, 1280, 1280), SpatialTransformer(1280, 768, 8, 160)],
[ResBlock(1920, 1280, 1280), SpatialTransformer(1280, 768, 8, 160), Upsample(1280)],
[ResBlock(1920, 1280, 640), SpatialTransformer(640, 768, 8, 80)], # 6
[ResBlock(1280, 1280, 640), SpatialTransformer(640, 768, 8, 80)],
[ResBlock(960, 1280, 640), SpatialTransformer(640, 768, 8, 80), Upsample(640)],
[ResBlock(960, 1280, 320), SpatialTransformer(320, 768, 8, 40)],
[ResBlock(640, 1280, 320), SpatialTransformer(320, 768, 8, 40)],
[ResBlock(640, 1280, 320), SpatialTransformer(320, 768, 8, 40)],
]
self.out = [
GroupNorm(32, 320),
Tensor.silu,
Conv2d(320, 4, kernel_size=3, padding=1)
]
def __call__(self, x, timesteps=None, context=None):
# TODO: real time embedding
t_emb = timestep_embedding(timesteps, 320)
emb = t_emb.sequential(self.time_embed)
def run(x, bb):
if isinstance(bb, ResBlock): x = bb(x, emb)
elif isinstance(bb, SpatialTransformer): x = bb(x, context)
else: x = bb(x)
return x
saved_inputs = []
for i,b in enumerate(self.input_blocks):
#print("input block", i)
for bb in b:
x = run(x, bb)
saved_inputs.append(x)
x.realize()
for bb in self.middle_block:
x = run(x, bb)
for i,b in enumerate(self.output_blocks):
#print("output block", i)
x = x.cat(saved_inputs.pop(), dim=1)
for bb in b:
x = run(x, bb)
x.realize()
return x.sequential(self.out)
class CLIPMLP:
def __init__(self):
self.fc1 = Linear(768, 3072)
self.fc2 = Linear(3072, 768)
def __call__(self, hidden_states):
hidden_states = self.fc1(hidden_states)
hidden_states = hidden_states.quick_gelu()
hidden_states = self.fc2(hidden_states)
return hidden_states
class CLIPAttention:
def __init__(self):
self.embed_dim = 768
self.num_heads = 12
self.head_dim = self.embed_dim // self.num_heads
self.scale = self.head_dim**-0.5
self.k_proj = Linear(self.embed_dim, self.embed_dim)
self.v_proj = Linear(self.embed_dim, self.embed_dim)
self.q_proj = Linear(self.embed_dim, self.embed_dim)
self.out_proj = Linear(self.embed_dim, self.embed_dim)
def _shape(self, tensor, seq_len: int, bsz: int):
return tensor.reshape(bsz, seq_len, self.num_heads, self.head_dim).permute(0,2,1,3)
def __call__(self, hidden_states, causal_attention_mask):
bsz, tgt_len, embed_dim = hidden_states.shape
query_states = self.q_proj(hidden_states) * self.scale
key_states = self._shape(self.k_proj(hidden_states), -1, bsz)
value_states = self._shape(self.v_proj(hidden_states), -1, bsz)
proj_shape = (bsz * self.num_heads, -1, self.head_dim)
query_states = self._shape(query_states, tgt_len, bsz).reshape(*proj_shape)
key_states = key_states.reshape(*proj_shape)
src_len = key_states.shape[1]
value_states = value_states.reshape(*proj_shape)
attn_weights = query_states @ key_states.permute(0,2,1)
attn_weights = attn_weights.reshape(bsz, self.num_heads, tgt_len, src_len) + causal_attention_mask
attn_weights = attn_weights.reshape(bsz * self.num_heads, tgt_len, src_len)
attn_weights = attn_weights.softmax()
attn_output = attn_weights @ value_states
attn_output = attn_output.reshape(bsz, self.num_heads, tgt_len, self.head_dim)
attn_output = attn_output.permute(0,2,1,3)
attn_output = attn_output.reshape(bsz, tgt_len, embed_dim)
attn_output = self.out_proj(attn_output)
return attn_output
class CLIPEncoderLayer:
def __init__(self):
self.self_attn = CLIPAttention()
self.layer_norm1 = LayerNorm(768)
self.mlp = CLIPMLP()
self.layer_norm2 = LayerNorm(768)
def __call__(self, hidden_states, causal_attention_mask):
residual = hidden_states
hidden_states = self.layer_norm1(hidden_states)
hidden_states = self.self_attn(hidden_states, causal_attention_mask)
hidden_states = residual + hidden_states
residual = hidden_states
hidden_states = self.layer_norm2(hidden_states)
hidden_states = self.mlp(hidden_states)
hidden_states = residual + hidden_states
return hidden_states
class CLIPEncoder:
def __init__(self):
self.layers = [CLIPEncoderLayer() for i in range(12)]
def __call__(self, hidden_states, causal_attention_mask):
for l in self.layers:
hidden_states = l(hidden_states, causal_attention_mask)
return hidden_states
class CLIPTextEmbeddings:
def __init__(self):
#self.position_ids = Tensor.empty(1, 77) # what is this?
self.token_embedding = {"weight": Tensor.empty(49408, 768)}
self.position_embedding = {"weight": Tensor.empty(77, 768)}
def __call__(self, input_ids, position_ids):
# TODO: actually support batches
inputs = np.zeros((1, len(input_ids), 49408), dtype=np.float32)
positions = np.zeros((1, len(position_ids), 77), dtype=np.float32)
for i,x in enumerate(input_ids): inputs[0][i][x] = 1
for i,x in enumerate(position_ids): positions[0][i][x] = 1
inputs_embeds = Tensor(inputs, device=self.token_embedding['weight'].device) @ self.token_embedding['weight']
position_embeddings = Tensor(positions, device=self.position_embedding['weight'].device) @ self.position_embedding['weight']
return inputs_embeds + position_embeddings
class CLIPTextTransformer:
def __init__(self):
self.embeddings = CLIPTextEmbeddings()
self.encoder = CLIPEncoder()
self.final_layer_norm = LayerNorm(768)
def __call__(self, input_ids):
x = self.embeddings(input_ids, list(range(len(input_ids))))
causal_attention_mask = np.triu(np.ones((1,1,77,77), dtype=np.float32) * -np.inf, k=1)
x = self.encoder(x, Tensor(causal_attention_mask, device=x.device))
return self.final_layer_norm(x)
# Clip tokenizer, taken from https://github.com/openai/CLIP/blob/main/clip/simple_tokenizer.py (MIT license)
@lru_cache()
def default_bpe():
return Path(__file__).parent.parent / "weights/bpe_simple_vocab_16e6.txt.gz"
def get_pairs(word):
"""Return set of symbol pairs in a word.
Word is represented as tuple of symbols (symbols being variable-length strings).
"""
pairs = set()
prev_char = word[0]
for char in word[1:]:
pairs.add((prev_char, char))
prev_char = char
return pairs
def whitespace_clean(text):
text = re.sub(r'\s+', ' ', text)
text = text.strip()
return text
def bytes_to_unicode():
"""
Returns list of utf-8 byte and a corresponding list of unicode strings.
The reversible bpe codes work on unicode strings.
This means you need a large # of unicode characters in your vocab if you want to avoid UNKs.
When you're at something like a 10B token dataset you end up needing around 5K for decent coverage.
This is a signficant percentage of your normal, say, 32K bpe vocab.
To avoid that, we want lookup tables between utf-8 bytes and unicode strings.
And avoids mapping to whitespace/control characters the bpe code barfs on.
"""
bs = list(range(ord("!"), ord("~")+1))+list(range(ord("¡"), ord("¬")+1))+list(range(ord("®"), ord("ÿ")+1))
cs = bs[:]
n = 0
for b in range(2**8):
if b not in bs:
bs.append(b)
cs.append(2**8+n)
n += 1
cs = [chr(n) for n in cs]
return dict(zip(bs, cs))
class ClipTokenizer:
def __init__(self, bpe_path: str = default_bpe()):
self.byte_encoder = bytes_to_unicode()
merges = gzip.open(bpe_path).read().decode("utf-8").split('\n')
merges = merges[1:49152-256-2+1]
merges = [tuple(merge.split()) for merge in merges]
vocab = list(bytes_to_unicode().values())
vocab = vocab + [v+'</w>' for v in vocab]
for merge in merges:
vocab.append(''.join(merge))
vocab.extend(['<|startoftext|>', '<|endoftext|>'])
self.encoder = dict(zip(vocab, range(len(vocab))))
self.bpe_ranks = dict(zip(merges, range(len(merges))))
self.cache = {'<|startoftext|>': '<|startoftext|>', '<|endoftext|>': '<|endoftext|>'}
self.pat = self.pat = re.compile(r"""<\|startoftext\|>|<\|endoftext\|>|'s|'t|'re|'ve|'m|'ll|'d|[^\s]+""", re.IGNORECASE)
def bpe(self, token):
if token in self.cache:
return self.cache[token]
word = tuple(token[:-1]) + ( token[-1] + '</w>',)
pairs = get_pairs(word)
if not pairs:
return token+'</w>'
while True:
bigram = min(pairs, key = lambda pair: self.bpe_ranks.get(pair, float('inf')))
if bigram not in self.bpe_ranks:
break
first, second = bigram
new_word = []
i = 0
while i < len(word):
try:
j = word.index(first, i)
new_word.extend(word[i:j])
i = j
except Exception:
new_word.extend(word[i:])
break
if word[i] == first and i < len(word)-1 and word[i+1] == second:
new_word.append(first+second)
i += 2
else:
new_word.append(word[i])
i += 1
new_word = tuple(new_word)
word = new_word
if len(word) == 1:
break
pairs = get_pairs(word)
word = ' '.join(word)
self.cache[token] = word
return word
def encode(self, text):
bpe_tokens = []
text = whitespace_clean(text.strip()).lower()
for token in re.findall(self.pat, text):
token = ''.join(self.byte_encoder[b] for b in token.encode('utf-8'))
bpe_tokens.extend(self.encoder[bpe_token] for bpe_token in self.bpe(token).split(' '))
# Truncation, keeping two slots for start and end tokens.
if len(bpe_tokens) > 75:
bpe_tokens = bpe_tokens[:75]
return [49406] + bpe_tokens + [49407] * (77 - len(bpe_tokens) - 1)
class StableDiffusion:
def __init__(self):
self.alphas_cumprod = Tensor.empty(1000)
self.model = namedtuple("DiffusionModel", ["diffusion_model"])(diffusion_model = UNetModel())
self.first_stage_model = AutoencoderKL()
self.cond_stage_model = namedtuple("CondStageModel", ["transformer"])(transformer = namedtuple("Transformer", ["text_model"])(text_model = CLIPTextTransformer()))
# TODO: make __call__ run the model
# ** ldm.models.autoencoder.AutoencoderKL (done!)
# 3x512x512 <--> 4x64x64 (16384)
# decode torch.Size([1, 4, 64, 64]) torch.Size([1, 3, 512, 512])
# section 4.3 of paper
# first_stage_model.encoder, first_stage_model.decoder
# ** ldm.modules.diffusionmodules.openaimodel.UNetModel
# this is what runs each time to sample. is this the LDM?
# input: 4x64x64
# output: 4x64x64
# model.diffusion_model
# it has attention?
# ** ldm.modules.encoders.modules.FrozenCLIPEmbedder
# cond_stage_model.transformer.text_model
# this is sd-v1-4.ckpt
#FILENAME = "/Users/kafka/fun/mps/stable-diffusion/models/ldm/stable-diffusion-v1/model.ckpt"
#FILENAME = "/home/kafka/model.ckpt"
FILENAME = Path(__file__).parent.parent / "weights/sd-v1-4.ckpt"
if __name__ == "__main__":
parser = argparse.ArgumentParser(description='Run Stable Diffusion', formatter_class=argparse.ArgumentDefaultsHelpFormatter)
parser.add_argument('--steps', type=int, default=5, help="Number of steps in diffusion")
parser.add_argument('--prompt', type=str, default="a horse sized cat eating a bagel", help="Phrase to render")
parser.add_argument('--out', type=str, default=os.path.join(tempfile.gettempdir(), "rendered.png"), help="Output filename")
args = parser.parse_args()
Tensor.no_grad = True
model = StableDiffusion()
# load in weights
download_file('https://huggingface.co/CompVis/stable-diffusion-v-1-4-original/resolve/main/sd-v1-4.ckpt', FILENAME)
load_state_dict(model, torch_load(FILENAME)['state_dict'], strict=False)
# run through CLIP to get context
tokenizer = ClipTokenizer()
prompt = tokenizer.encode(args.prompt)
context = model.cond_stage_model.transformer.text_model(prompt).realize()
print("got CLIP context", context.shape)
prompt = tokenizer.encode("")
unconditional_context = model.cond_stage_model.transformer.text_model(prompt).realize()
print("got unconditional CLIP context", unconditional_context.shape)
# done with clip model
del model.cond_stage_model
def get_model_output(latent, timesteps):
# put into diffuser
unconditional_latent = model.model.diffusion_model(latent, timesteps, unconditional_context).realize()
latent = model.model.diffusion_model(latent, timesteps, context).realize()
unconditional_guidance_scale = 7.5
e_t = unconditional_latent + unconditional_guidance_scale * (latent - unconditional_latent)
return e_t
timesteps = list(np.arange(1, 1000, 1000//args.steps))
print(f"running for {timesteps} timesteps")
alphas = [model.alphas_cumprod.numpy()[t] for t in timesteps]
alphas_prev = [1.0] + alphas[:-1]
def get_x_prev_and_pred_x0(x, e_t, index):
temperature = 1
a_t, a_prev = alphas[index], alphas_prev[index]
sigma_t = 0
sqrt_one_minus_at = math.sqrt(1-a_t)
sqrt_one_minus_at = Tensor([sqrt_one_minus_at]).realize() # don't constant fold this
#print(a_t, a_prev, sigma_t, sqrt_one_minus_at)
pred_x0 = (x - sqrt_one_minus_at * e_t) / math.sqrt(a_t)
# direction pointing to x_t
dir_xt = math.sqrt(1. - a_prev - sigma_t**2) * e_t
noise = sigma_t * Tensor.randn(*x.shape) * temperature
x_prev = math.sqrt(a_prev) * pred_x0 + dir_xt #+ noise
return x_prev, pred_x0
# start with random noise
latent = Tensor.randn(1,4,64,64)
# this is diffusion
for index, timestep in (t:=tqdm(list(enumerate(timesteps))[::-1])):
t.set_description("%3d %3d" % (index, timestep))
e_t = get_model_output(latent, timestep)
x_prev, pred_x0 = get_x_prev_and_pred_x0(latent, e_t, index)
#e_t_next = get_model_output(x_prev)
#e_t_prime = (e_t + e_t_next) / 2
#x_prev, pred_x0 = get_x_prev_and_pred_x0(latent, e_t_prime, index)
latent = x_prev
latent.realize()
# upsample latent space to image with autoencoder
x = model.first_stage_model.post_quant_conv(1/0.18215 * latent)
x = model.first_stage_model.decoder(x)
# make image correct size and scale
x = (x + 1.0) / 2.0
x = x.reshape(3,512,512).permute(1,2,0)
dat = (x.detach().numpy().clip(0, 1)*255).astype(np.uint8)
print(dat.shape)
# save image
from PIL import Image
im = Image.fromarray(dat)
print(f"saving {args.out}")
im.save(args.out)
# Open image.
im.show()