Backend/comfy/utils.py

import torch
import math
import struct
import comfy.checkpoint_pickle
import safetensors.torch
import numpy as np
from PIL import Image
import logging
import itertools

def load_torch_file(ckpt, safe_load=False, device=None):
    if device is None:
        device = torch.device("cpu")
    if ckpt.lower().endswith(".safetensors") or ckpt.lower().endswith(".sft"):
        sd = safetensors.torch.load_file(ckpt, device=device.type)
    else:
        if safe_load:
            if not 'weights_only' in torch.load.__code__.co_varnames:
                logging.warning("Warning torch.load doesn't support weights_only on this pytorch version, loading unsafely.")
                safe_load = False
        if safe_load:
            pl_sd = torch.load(ckpt, map_location=device, weights_only=True)
        else:
            pl_sd = torch.load(ckpt, map_location=device, pickle_module=comfy.checkpoint_pickle)
        if "global_step" in pl_sd:
            logging.debug(f"Global Step: {pl_sd['global_step']}")
        if "state_dict" in pl_sd:
            sd = pl_sd["state_dict"]
        else:
            sd = pl_sd
    return sd

def save_torch_file(sd, ckpt, metadata=None):
    if metadata is not None:
        safetensors.torch.save_file(sd, ckpt, metadata=metadata)
    else:
        safetensors.torch.save_file(sd, ckpt)

def calculate_parameters(sd, prefix=""):
    params = 0
    for k in sd.keys():
        if k.startswith(prefix):
            w = sd[k]
            params += w.nelement()
    return params

def weight_dtype(sd, prefix=""):
    dtypes = {}
    for k in sd.keys():
        if k.startswith(prefix):
            w = sd[k]
            dtypes[w.dtype] = dtypes.get(w.dtype, 0) + 1

    if len(dtypes) == 0:
        return None

    return max(dtypes, key=dtypes.get)

def state_dict_key_replace(state_dict, keys_to_replace):
    for x in keys_to_replace:
        if x in state_dict:
            state_dict[keys_to_replace[x]] = state_dict.pop(x)
    return state_dict

def state_dict_prefix_replace(state_dict, replace_prefix, filter_keys=False):
    if filter_keys:
        out = {}
    else:
        out = state_dict
    for rp in replace_prefix:
        replace = list(map(lambda a: (a, "{}{}".format(replace_prefix[rp], a[len(rp):])), filter(lambda a: a.startswith(rp), state_dict.keys())))
        for x in replace:
            w = state_dict.pop(x[0])
            out[x[1]] = w
    return out


def transformers_convert(sd, prefix_from, prefix_to, number):
    keys_to_replace = {
        "{}positional_embedding": "{}embeddings.position_embedding.weight",
        "{}token_embedding.weight": "{}embeddings.token_embedding.weight",
        "{}ln_final.weight": "{}final_layer_norm.weight",
        "{}ln_final.bias": "{}final_layer_norm.bias",
    }

    for k in keys_to_replace:
        x = k.format(prefix_from)
        if x in sd:
            sd[keys_to_replace[k].format(prefix_to)] = sd.pop(x)

    resblock_to_replace = {
        "ln_1": "layer_norm1",
        "ln_2": "layer_norm2",
        "mlp.c_fc": "mlp.fc1",
        "mlp.c_proj": "mlp.fc2",
        "attn.out_proj": "self_attn.out_proj",
    }

    for resblock in range(number):
        for x in resblock_to_replace:
            for y in ["weight", "bias"]:
                k = "{}transformer.resblocks.{}.{}.{}".format(prefix_from, resblock, x, y)
                k_to = "{}encoder.layers.{}.{}.{}".format(prefix_to, resblock, resblock_to_replace[x], y)
                if k in sd:
                    sd[k_to] = sd.pop(k)

        for y in ["weight", "bias"]:
            k_from = "{}transformer.resblocks.{}.attn.in_proj_{}".format(prefix_from, resblock, y)
            if k_from in sd:
                weights = sd.pop(k_from)
                shape_from = weights.shape[0] // 3
                for x in range(3):
                    p = ["self_attn.q_proj", "self_attn.k_proj", "self_attn.v_proj"]
                    k_to = "{}encoder.layers.{}.{}.{}".format(prefix_to, resblock, p[x], y)
                    sd[k_to] = weights[shape_from*x:shape_from*(x + 1)]

    return sd

def clip_text_transformers_convert(sd, prefix_from, prefix_to):
    sd = transformers_convert(sd, prefix_from, "{}text_model.".format(prefix_to), 32)

    tp = "{}text_projection.weight".format(prefix_from)
    if tp in sd:
        sd["{}text_projection.weight".format(prefix_to)] = sd.pop(tp)

    tp = "{}text_projection".format(prefix_from)
    if tp in sd:
        sd["{}text_projection.weight".format(prefix_to)] = sd.pop(tp).transpose(0, 1).contiguous()
    return sd


UNET_MAP_ATTENTIONS = {
    "proj_in.weight",
    "proj_in.bias",
    "proj_out.weight",
    "proj_out.bias",
    "norm.weight",
    "norm.bias",
}

TRANSFORMER_BLOCKS = {
    "norm1.weight",
    "norm1.bias",
    "norm2.weight",
    "norm2.bias",
    "norm3.weight",
    "norm3.bias",
    "attn1.to_q.weight",
    "attn1.to_k.weight",
    "attn1.to_v.weight",
    "attn1.to_out.0.weight",
    "attn1.to_out.0.bias",
    "attn2.to_q.weight",
    "attn2.to_k.weight",
    "attn2.to_v.weight",
    "attn2.to_out.0.weight",
    "attn2.to_out.0.bias",
    "ff.net.0.proj.weight",
    "ff.net.0.proj.bias",
    "ff.net.2.weight",
    "ff.net.2.bias",
}

UNET_MAP_RESNET = {
    "in_layers.2.weight": "conv1.weight",
    "in_layers.2.bias": "conv1.bias",
    "emb_layers.1.weight": "time_emb_proj.weight",
    "emb_layers.1.bias": "time_emb_proj.bias",
    "out_layers.3.weight": "conv2.weight",
    "out_layers.3.bias": "conv2.bias",
    "skip_connection.weight": "conv_shortcut.weight",
    "skip_connection.bias": "conv_shortcut.bias",
    "in_layers.0.weight": "norm1.weight",
    "in_layers.0.bias": "norm1.bias",
    "out_layers.0.weight": "norm2.weight",
    "out_layers.0.bias": "norm2.bias",
}

UNET_MAP_BASIC = {
    ("label_emb.0.0.weight", "class_embedding.linear_1.weight"),
    ("label_emb.0.0.bias", "class_embedding.linear_1.bias"),
    ("label_emb.0.2.weight", "class_embedding.linear_2.weight"),
    ("label_emb.0.2.bias", "class_embedding.linear_2.bias"),
    ("label_emb.0.0.weight", "add_embedding.linear_1.weight"),
    ("label_emb.0.0.bias", "add_embedding.linear_1.bias"),
    ("label_emb.0.2.weight", "add_embedding.linear_2.weight"),
    ("label_emb.0.2.bias", "add_embedding.linear_2.bias"),
    ("input_blocks.0.0.weight", "conv_in.weight"),
    ("input_blocks.0.0.bias", "conv_in.bias"),
    ("out.0.weight", "conv_norm_out.weight"),
    ("out.0.bias", "conv_norm_out.bias"),
    ("out.2.weight", "conv_out.weight"),
    ("out.2.bias", "conv_out.bias"),
    ("time_embed.0.weight", "time_embedding.linear_1.weight"),
    ("time_embed.0.bias", "time_embedding.linear_1.bias"),
    ("time_embed.2.weight", "time_embedding.linear_2.weight"),
    ("time_embed.2.bias", "time_embedding.linear_2.bias")
}

def unet_to_diffusers(unet_config):
    if "num_res_blocks" not in unet_config:
        return {}
    num_res_blocks = unet_config["num_res_blocks"]
    channel_mult = unet_config["channel_mult"]
    transformer_depth = unet_config["transformer_depth"][:]
    transformer_depth_output = unet_config["transformer_depth_output"][:]
    num_blocks = len(channel_mult)

    transformers_mid = unet_config.get("transformer_depth_middle", None)

    diffusers_unet_map = {}
    for x in range(num_blocks):
        n = 1 + (num_res_blocks[x] + 1) * x
        for i in range(num_res_blocks[x]):
            for b in UNET_MAP_RESNET:
                diffusers_unet_map["down_blocks.{}.resnets.{}.{}".format(x, i, UNET_MAP_RESNET[b])] = "input_blocks.{}.0.{}".format(n, b)
            num_transformers = transformer_depth.pop(0)
            if num_transformers > 0:
                for b in UNET_MAP_ATTENTIONS:
                    diffusers_unet_map["down_blocks.{}.attentions.{}.{}".format(x, i, b)] = "input_blocks.{}.1.{}".format(n, b)
                for t in range(num_transformers):
                    for b in TRANSFORMER_BLOCKS:
                        diffusers_unet_map["down_blocks.{}.attentions.{}.transformer_blocks.{}.{}".format(x, i, t, b)] = "input_blocks.{}.1.transformer_blocks.{}.{}".format(n, t, b)
            n += 1
        for k in ["weight", "bias"]:
            diffusers_unet_map["down_blocks.{}.downsamplers.0.conv.{}".format(x, k)] = "input_blocks.{}.0.op.{}".format(n, k)

    i = 0
    for b in UNET_MAP_ATTENTIONS:
        diffusers_unet_map["mid_block.attentions.{}.{}".format(i, b)] = "middle_block.1.{}".format(b)
    for t in range(transformers_mid):
        for b in TRANSFORMER_BLOCKS:
            diffusers_unet_map["mid_block.attentions.{}.transformer_blocks.{}.{}".format(i, t, b)] = "middle_block.1.transformer_blocks.{}.{}".format(t, b)

    for i, n in enumerate([0, 2]):
        for b in UNET_MAP_RESNET:
            diffusers_unet_map["mid_block.resnets.{}.{}".format(i, UNET_MAP_RESNET[b])] = "middle_block.{}.{}".format(n, b)

    num_res_blocks = list(reversed(num_res_blocks))
    for x in range(num_blocks):
        n = (num_res_blocks[x] + 1) * x
        l = num_res_blocks[x] + 1
        for i in range(l):
            c = 0
            for b in UNET_MAP_RESNET:
                diffusers_unet_map["up_blocks.{}.resnets.{}.{}".format(x, i, UNET_MAP_RESNET[b])] = "output_blocks.{}.0.{}".format(n, b)
            c += 1
            num_transformers = transformer_depth_output.pop()
            if num_transformers > 0:
                c += 1
                for b in UNET_MAP_ATTENTIONS:
                    diffusers_unet_map["up_blocks.{}.attentions.{}.{}".format(x, i, b)] = "output_blocks.{}.1.{}".format(n, b)
                for t in range(num_transformers):
                    for b in TRANSFORMER_BLOCKS:
                        diffusers_unet_map["up_blocks.{}.attentions.{}.transformer_blocks.{}.{}".format(x, i, t, b)] = "output_blocks.{}.1.transformer_blocks.{}.{}".format(n, t, b)
            if i == l - 1:
                for k in ["weight", "bias"]:
                    diffusers_unet_map["up_blocks.{}.upsamplers.0.conv.{}".format(x, k)] = "output_blocks.{}.{}.conv.{}".format(n, c, k)
            n += 1

    for k in UNET_MAP_BASIC:
        diffusers_unet_map[k[1]] = k[0]

    return diffusers_unet_map

def swap_scale_shift(weight):
    shift, scale = weight.chunk(2, dim=0)
    new_weight = torch.cat([scale, shift], dim=0)
    return new_weight

MMDIT_MAP_BASIC = {
    ("context_embedder.bias", "context_embedder.bias"),
    ("context_embedder.weight", "context_embedder.weight"),
    ("t_embedder.mlp.0.bias", "time_text_embed.timestep_embedder.linear_1.bias"),
    ("t_embedder.mlp.0.weight", "time_text_embed.timestep_embedder.linear_1.weight"),
    ("t_embedder.mlp.2.bias", "time_text_embed.timestep_embedder.linear_2.bias"),
    ("t_embedder.mlp.2.weight", "time_text_embed.timestep_embedder.linear_2.weight"),
    ("x_embedder.proj.bias", "pos_embed.proj.bias"),
    ("x_embedder.proj.weight", "pos_embed.proj.weight"),
    ("y_embedder.mlp.0.bias", "time_text_embed.text_embedder.linear_1.bias"),
    ("y_embedder.mlp.0.weight", "time_text_embed.text_embedder.linear_1.weight"),
    ("y_embedder.mlp.2.bias", "time_text_embed.text_embedder.linear_2.bias"),
    ("y_embedder.mlp.2.weight", "time_text_embed.text_embedder.linear_2.weight"),
    ("pos_embed", "pos_embed.pos_embed"),
    ("final_layer.adaLN_modulation.1.bias", "norm_out.linear.bias", swap_scale_shift),
    ("final_layer.adaLN_modulation.1.weight", "norm_out.linear.weight", swap_scale_shift),
    ("final_layer.linear.bias", "proj_out.bias"),
    ("final_layer.linear.weight", "proj_out.weight"),
}

MMDIT_MAP_BLOCK = {
    ("context_block.adaLN_modulation.1.bias", "norm1_context.linear.bias"),
    ("context_block.adaLN_modulation.1.weight", "norm1_context.linear.weight"),
    ("context_block.attn.proj.bias", "attn.to_add_out.bias"),
    ("context_block.attn.proj.weight", "attn.to_add_out.weight"),
    ("context_block.mlp.fc1.bias", "ff_context.net.0.proj.bias"),
    ("context_block.mlp.fc1.weight", "ff_context.net.0.proj.weight"),
    ("context_block.mlp.fc2.bias", "ff_context.net.2.bias"),
    ("context_block.mlp.fc2.weight", "ff_context.net.2.weight"),
    ("x_block.adaLN_modulation.1.bias", "norm1.linear.bias"),
    ("x_block.adaLN_modulation.1.weight", "norm1.linear.weight"),
    ("x_block.attn.proj.bias", "attn.to_out.0.bias"),
    ("x_block.attn.proj.weight", "attn.to_out.0.weight"),
    ("x_block.mlp.fc1.bias", "ff.net.0.proj.bias"),
    ("x_block.mlp.fc1.weight", "ff.net.0.proj.weight"),
    ("x_block.mlp.fc2.bias", "ff.net.2.bias"),
    ("x_block.mlp.fc2.weight", "ff.net.2.weight"),
}

def mmdit_to_diffusers(mmdit_config, output_prefix=""):
    key_map = {}

    depth = mmdit_config.get("depth", 0)
    num_blocks = mmdit_config.get("num_blocks", depth)
    for i in range(num_blocks):
        block_from = "transformer_blocks.{}".format(i)
        block_to = "{}joint_blocks.{}".format(output_prefix, i)

        offset = depth * 64

        for end in ("weight", "bias"):
            k = "{}.attn.".format(block_from)
            qkv = "{}.x_block.attn.qkv.{}".format(block_to, end)
            key_map["{}to_q.{}".format(k, end)] = (qkv, (0, 0, offset))
            key_map["{}to_k.{}".format(k, end)] = (qkv, (0, offset, offset))
            key_map["{}to_v.{}".format(k, end)] = (qkv, (0, offset * 2, offset))

            qkv = "{}.context_block.attn.qkv.{}".format(block_to, end)
            key_map["{}add_q_proj.{}".format(k, end)] = (qkv, (0, 0, offset))
            key_map["{}add_k_proj.{}".format(k, end)] = (qkv, (0, offset, offset))
            key_map["{}add_v_proj.{}".format(k, end)] = (qkv, (0, offset * 2, offset))

        for k in MMDIT_MAP_BLOCK:
            key_map["{}.{}".format(block_from, k[1])] = "{}.{}".format(block_to, k[0])

    map_basic = MMDIT_MAP_BASIC.copy()
    map_basic.add(("joint_blocks.{}.context_block.adaLN_modulation.1.bias".format(depth - 1), "transformer_blocks.{}.norm1_context.linear.bias".format(depth - 1), swap_scale_shift))
    map_basic.add(("joint_blocks.{}.context_block.adaLN_modulation.1.weight".format(depth - 1), "transformer_blocks.{}.norm1_context.linear.weight".format(depth - 1), swap_scale_shift))

    for k in map_basic:
        if len(k) > 2:
            key_map[k[1]] = ("{}{}".format(output_prefix, k[0]), None, k[2])
        else:
            key_map[k[1]] = "{}{}".format(output_prefix, k[0])

    return key_map


def auraflow_to_diffusers(mmdit_config, output_prefix=""):
    n_double_layers = mmdit_config.get("n_double_layers", 0)
    n_layers = mmdit_config.get("n_layers", 0)

    key_map = {}
    for i in range(n_layers):
        if i < n_double_layers:
            index = i
            prefix_from = "joint_transformer_blocks"
            prefix_to = "{}double_layers".format(output_prefix)
            block_map = {
                            "attn.to_q.weight": "attn.w2q.weight",
                            "attn.to_k.weight": "attn.w2k.weight",
                            "attn.to_v.weight": "attn.w2v.weight",
                            "attn.to_out.0.weight": "attn.w2o.weight",
                            "attn.add_q_proj.weight": "attn.w1q.weight",
                            "attn.add_k_proj.weight": "attn.w1k.weight",
                            "attn.add_v_proj.weight": "attn.w1v.weight",
                            "attn.to_add_out.weight": "attn.w1o.weight",
                            "ff.linear_1.weight": "mlpX.c_fc1.weight",
                            "ff.linear_2.weight": "mlpX.c_fc2.weight",
                            "ff.out_projection.weight": "mlpX.c_proj.weight",
                            "ff_context.linear_1.weight": "mlpC.c_fc1.weight",
                            "ff_context.linear_2.weight": "mlpC.c_fc2.weight",
                            "ff_context.out_projection.weight": "mlpC.c_proj.weight",
                            "norm1.linear.weight": "modX.1.weight",
                            "norm1_context.linear.weight": "modC.1.weight",
                        }
        else:
            index = i - n_double_layers
            prefix_from = "single_transformer_blocks"
            prefix_to = "{}single_layers".format(output_prefix)

            block_map = {
                            "attn.to_q.weight": "attn.w1q.weight",
                            "attn.to_k.weight": "attn.w1k.weight",
                            "attn.to_v.weight": "attn.w1v.weight",
                            "attn.to_out.0.weight": "attn.w1o.weight",
                            "norm1.linear.weight": "modCX.1.weight",
                            "ff.linear_1.weight": "mlp.c_fc1.weight",
                            "ff.linear_2.weight": "mlp.c_fc2.weight",
                            "ff.out_projection.weight": "mlp.c_proj.weight"
                        }

        for k in block_map:
            key_map["{}.{}.{}".format(prefix_from, index, k)] = "{}.{}.{}".format(prefix_to, index, block_map[k])

    MAP_BASIC = {
        ("positional_encoding", "pos_embed.pos_embed"),
        ("register_tokens", "register_tokens"),
        ("t_embedder.mlp.0.weight", "time_step_proj.linear_1.weight"),
        ("t_embedder.mlp.0.bias", "time_step_proj.linear_1.bias"),
        ("t_embedder.mlp.2.weight", "time_step_proj.linear_2.weight"),
        ("t_embedder.mlp.2.bias", "time_step_proj.linear_2.bias"),
        ("cond_seq_linear.weight", "context_embedder.weight"),
        ("init_x_linear.weight", "pos_embed.proj.weight"),
        ("init_x_linear.bias", "pos_embed.proj.bias"),
        ("final_linear.weight", "proj_out.weight"),
        ("modF.1.weight", "norm_out.linear.weight", swap_scale_shift),
    }

    for k in MAP_BASIC:
        if len(k) > 2:
            key_map[k[1]] = ("{}{}".format(output_prefix, k[0]), None, k[2])
        else:
            key_map[k[1]] = "{}{}".format(output_prefix, k[0])

    return key_map

def flux_to_diffusers(mmdit_config, output_prefix=""):
    n_double_layers = mmdit_config.get("depth", 0)
    n_single_layers = mmdit_config.get("depth_single_blocks", 0)
    hidden_size = mmdit_config.get("hidden_size", 0)

    key_map = {}
    for index in range(n_double_layers):
        prefix_from = "transformer_blocks.{}".format(index)
        prefix_to = "{}double_blocks.{}".format(output_prefix, index)

        for end in ("weight", "bias"):
            k = "{}.attn.".format(prefix_from)
            qkv = "{}.img_attn.qkv.{}".format(prefix_to, end)
            key_map["{}to_q.{}".format(k, end)] = (qkv, (0, 0, hidden_size))
            key_map["{}to_k.{}".format(k, end)] = (qkv, (0, hidden_size, hidden_size))
            key_map["{}to_v.{}".format(k, end)] = (qkv, (0, hidden_size * 2, hidden_size))

        block_map = {"attn.to_out.0.weight": "img_attn.proj.weight",
                     "attn.to_out.0.bias": "img_attn.proj.bias",
                    }

        for k in block_map:
            key_map["{}.{}".format(prefix_from, k)] = "{}.{}".format(prefix_to, block_map[k])

    for index in range(n_single_layers):
        prefix_from = "single_transformer_blocks.{}".format(index)
        prefix_to = "{}single_blocks.{}".format(output_prefix, index)

        for end in ("weight", "bias"):
            k = "{}.attn.".format(prefix_from)
            qkv = "{}.linear1.{}".format(prefix_to, end)
            key_map["{}to_q.{}".format(k, end)] = (qkv, (0, 0, hidden_size))
            key_map["{}to_k.{}".format(k, end)] = (qkv, (0, hidden_size, hidden_size))
            key_map["{}to_v.{}".format(k, end)] = (qkv, (0, hidden_size * 2, hidden_size))
            key_map["{}proj_mlp.{}".format(k, end)] = (qkv, (0, hidden_size * 3, hidden_size))

        block_map = {#TODO
                    }

        for k in block_map:
            key_map["{}.{}".format(prefix_from, k)] = "{}.{}".format(prefix_to, block_map[k])

    MAP_BASIC = { #TODO
    }

    for k in MAP_BASIC:
        if len(k) > 2:
            key_map[k[1]] = ("{}{}".format(output_prefix, k[0]), None, k[2])
        else:
            key_map[k[1]] = "{}{}".format(output_prefix, k[0])

    return key_map

def repeat_to_batch_size(tensor, batch_size, dim=0):
    if tensor.shape[dim] > batch_size:
        return tensor.narrow(dim, 0, batch_size)
    elif tensor.shape[dim] < batch_size:
        return tensor.repeat(dim * [1] + [math.ceil(batch_size / tensor.shape[dim])] + [1] * (len(tensor.shape) - 1 - dim)).narrow(dim, 0, batch_size)
    return tensor

def resize_to_batch_size(tensor, batch_size):
    in_batch_size = tensor.shape[0]
    if in_batch_size == batch_size:
        return tensor

    if batch_size <= 1:
        return tensor[:batch_size]

    output = torch.empty([batch_size] + list(tensor.shape)[1:], dtype=tensor.dtype, device=tensor.device)
    if batch_size < in_batch_size:
        scale = (in_batch_size - 1) / (batch_size - 1)
        for i in range(batch_size):
            output[i] = tensor[min(round(i * scale), in_batch_size - 1)]
    else:
        scale = in_batch_size / batch_size
        for i in range(batch_size):
            output[i] = tensor[min(math.floor((i + 0.5) * scale), in_batch_size - 1)]

    return output

def convert_sd_to(state_dict, dtype):
    keys = list(state_dict.keys())
    for k in keys:
        state_dict[k] = state_dict[k].to(dtype)
    return state_dict

def safetensors_header(safetensors_path, max_size=100*1024*1024):
    with open(safetensors_path, "rb") as f:
        header = f.read(8)
        length_of_header = struct.unpack('<Q', header)[0]
        if length_of_header > max_size:
            return None
        return f.read(length_of_header)

def set_attr(obj, attr, value):
    attrs = attr.split(".")
    for name in attrs[:-1]:
        obj = getattr(obj, name)
    prev = getattr(obj, attrs[-1])
    setattr(obj, attrs[-1], value)
    return prev

def set_attr_param(obj, attr, value):
    return set_attr(obj, attr, torch.nn.Parameter(value, requires_grad=False))

def copy_to_param(obj, attr, value):
    # inplace update tensor instead of replacing it
    attrs = attr.split(".")
    for name in attrs[:-1]:
        obj = getattr(obj, name)
    prev = getattr(obj, attrs[-1])
    prev.data.copy_(value)

def get_attr(obj, attr):
    attrs = attr.split(".")
    for name in attrs:
        obj = getattr(obj, name)
    return obj

def bislerp(samples, width, height):
    def slerp(b1, b2, r):
        '''slerps batches b1, b2 according to ratio r, batches should be flat e.g. NxC'''
        
        c = b1.shape[-1]

        #norms
        b1_norms = torch.norm(b1, dim=-1, keepdim=True)
        b2_norms = torch.norm(b2, dim=-1, keepdim=True)

        #normalize
        b1_normalized = b1 / b1_norms
        b2_normalized = b2 / b2_norms

        #zero when norms are zero
        b1_normalized[b1_norms.expand(-1,c) == 0.0] = 0.0
        b2_normalized[b2_norms.expand(-1,c) == 0.0] = 0.0

        #slerp
        dot = (b1_normalized*b2_normalized).sum(1)
        omega = torch.acos(dot)
        so = torch.sin(omega)

        #technically not mathematically correct, but more pleasing?
        res = (torch.sin((1.0-r.squeeze(1))*omega)/so).unsqueeze(1)*b1_normalized + (torch.sin(r.squeeze(1)*omega)/so).unsqueeze(1) * b2_normalized
        res *= (b1_norms * (1.0-r) + b2_norms * r).expand(-1,c)

        #edge cases for same or polar opposites
        res[dot > 1 - 1e-5] = b1[dot > 1 - 1e-5] 
        res[dot < 1e-5 - 1] = (b1 * (1.0-r) + b2 * r)[dot < 1e-5 - 1]
        return res
    
    def generate_bilinear_data(length_old, length_new, device):
        coords_1 = torch.arange(length_old, dtype=torch.float32, device=device).reshape((1,1,1,-1))
        coords_1 = torch.nn.functional.interpolate(coords_1, size=(1, length_new), mode="bilinear")
        ratios = coords_1 - coords_1.floor()
        coords_1 = coords_1.to(torch.int64)
        
        coords_2 = torch.arange(length_old, dtype=torch.float32, device=device).reshape((1,1,1,-1)) + 1
        coords_2[:,:,:,-1] -= 1
        coords_2 = torch.nn.functional.interpolate(coords_2, size=(1, length_new), mode="bilinear")
        coords_2 = coords_2.to(torch.int64)
        return ratios, coords_1, coords_2

    orig_dtype = samples.dtype
    samples = samples.float()
    n,c,h,w = samples.shape
    h_new, w_new = (height, width)
    
    #linear w
    ratios, coords_1, coords_2 = generate_bilinear_data(w, w_new, samples.device)
    coords_1 = coords_1.expand((n, c, h, -1))
    coords_2 = coords_2.expand((n, c, h, -1))
    ratios = ratios.expand((n, 1, h, -1))

    pass_1 = samples.gather(-1,coords_1).movedim(1, -1).reshape((-1,c))
    pass_2 = samples.gather(-1,coords_2).movedim(1, -1).reshape((-1,c))
    ratios = ratios.movedim(1, -1).reshape((-1,1))

    result = slerp(pass_1, pass_2, ratios)
    result = result.reshape(n, h, w_new, c).movedim(-1, 1)

    #linear h
    ratios, coords_1, coords_2 = generate_bilinear_data(h, h_new, samples.device)
    coords_1 = coords_1.reshape((1,1,-1,1)).expand((n, c, -1, w_new))
    coords_2 = coords_2.reshape((1,1,-1,1)).expand((n, c, -1, w_new))
    ratios = ratios.reshape((1,1,-1,1)).expand((n, 1, -1, w_new))

    pass_1 = result.gather(-2,coords_1).movedim(1, -1).reshape((-1,c))
    pass_2 = result.gather(-2,coords_2).movedim(1, -1).reshape((-1,c))
    ratios = ratios.movedim(1, -1).reshape((-1,1))

    result = slerp(pass_1, pass_2, ratios)
    result = result.reshape(n, h_new, w_new, c).movedim(-1, 1)
    return result.to(orig_dtype)

def lanczos(samples, width, height):
    images = [Image.fromarray(np.clip(255. * image.movedim(0, -1).cpu().numpy(), 0, 255).astype(np.uint8)) for image in samples]
    images = [image.resize((width, height), resample=Image.Resampling.LANCZOS) for image in images]
    images = [torch.from_numpy(np.array(image).astype(np.float32) / 255.0).movedim(-1, 0) for image in images]
    result = torch.stack(images)
    return result.to(samples.device, samples.dtype)

def common_upscale(samples, width, height, upscale_method, crop):
        if crop == "center":
            old_width = samples.shape[3]
            old_height = samples.shape[2]
            old_aspect = old_width / old_height
            new_aspect = width / height
            x = 0
            y = 0
            if old_aspect > new_aspect:
                x = round((old_width - old_width * (new_aspect / old_aspect)) / 2)
            elif old_aspect < new_aspect:
                y = round((old_height - old_height * (old_aspect / new_aspect)) / 2)
            s = samples[:,:,y:old_height-y,x:old_width-x]
        else:
            s = samples

        if upscale_method == "bislerp":
            return bislerp(s, width, height)
        elif upscale_method == "lanczos":
            return lanczos(s, width, height)
        else:
            return torch.nn.functional.interpolate(s, size=(height, width), mode=upscale_method)

def get_tiled_scale_steps(width, height, tile_x, tile_y, overlap):
    return math.ceil((height / (tile_y - overlap))) * math.ceil((width / (tile_x - overlap)))

@torch.inference_mode()
def tiled_scale_multidim(samples, function, tile=(64, 64), overlap = 8, upscale_amount = 4, out_channels = 3, output_device="cpu", pbar = None):
    dims = len(tile)
    output = torch.empty([samples.shape[0], out_channels] + list(map(lambda a: round(a * upscale_amount), samples.shape[2:])), device=output_device)

    for b in range(samples.shape[0]):
        s = samples[b:b+1]
        out = torch.zeros([s.shape[0], out_channels] + list(map(lambda a: round(a * upscale_amount), s.shape[2:])), device=output_device)
        out_div = torch.zeros([s.shape[0], out_channels] + list(map(lambda a: round(a * upscale_amount), s.shape[2:])), device=output_device)

        for it in itertools.product(*map(lambda a: range(0, a[0], a[1] - overlap), zip(s.shape[2:], tile))):
            s_in = s
            upscaled = []

            for d in range(dims):
                pos = max(0, min(s.shape[d + 2] - overlap, it[d]))
                l = min(tile[d], s.shape[d + 2] - pos)
                s_in = s_in.narrow(d + 2, pos, l)
                upscaled.append(round(pos * upscale_amount))
            ps = function(s_in).to(output_device)
            mask = torch.ones_like(ps)
            feather = round(overlap * upscale_amount)
            for t in range(feather):
                for d in range(2, dims + 2):
                    m = mask.narrow(d, t, 1)
                    m *= ((1.0/feather) * (t + 1))
                    m = mask.narrow(d, mask.shape[d] -1 -t, 1)
                    m *= ((1.0/feather) * (t + 1))

            o = out
            o_d = out_div
            for d in range(dims):
                o = o.narrow(d + 2, upscaled[d], mask.shape[d + 2])
                o_d = o_d.narrow(d + 2, upscaled[d], mask.shape[d + 2])

            o += ps * mask
            o_d += mask

            if pbar is not None:
                pbar.update(1)

        output[b:b+1] = out/out_div
    return output

def tiled_scale(samples, function, tile_x=64, tile_y=64, overlap = 8, upscale_amount = 4, out_channels = 3, output_device="cpu", pbar = None):
    return tiled_scale_multidim(samples, function, (tile_y, tile_x), overlap, upscale_amount, out_channels, output_device, pbar)

PROGRESS_BAR_ENABLED = True
def set_progress_bar_enabled(enabled):
    global PROGRESS_BAR_ENABLED
    PROGRESS_BAR_ENABLED = enabled

PROGRESS_BAR_HOOK = None
def set_progress_bar_global_hook(function):
    global PROGRESS_BAR_HOOK
    PROGRESS_BAR_HOOK = function

class ProgressBar:
    def __init__(self, total):
        global PROGRESS_BAR_HOOK
        self.total = total
        self.current = 0
        self.hook = PROGRESS_BAR_HOOK

    def update_absolute(self, value, total=None, preview=None):
        if total is not None:
            self.total = total
        if value > self.total:
            value = self.total
        self.current = value
        if self.hook is not None:
            self.hook(self.current, self.total, preview)

    def update(self, value):
        self.update_absolute(self.current + value)