File size: 7,775 Bytes
01fdb75
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
import math
from src.diffusion.base.sampling import *
from src.diffusion.base.scheduling import *
from src.diffusion.pre_integral import *

from typing import Callable, List, Tuple

def ode_step_fn(x, v, dt, s, w):
    return x + v * dt

def t2snr(t):
    if isinstance(t, torch.Tensor):
        return (t.clip(min=1e-8)/(1-t + 1e-8))
    if  isinstance(t, List) or isinstance(t, Tuple):
        return [t2snr(t) for t in t]
    t = max(t, 1e-8)
    return (t/(1-t + 1e-8))

def t2logsnr(t):
    if isinstance(t, torch.Tensor):
        return torch.log(t.clip(min=1e-3)/(1-t + 1e-3))
    if  isinstance(t, List) or isinstance(t, Tuple):
        return [t2logsnr(t) for t in t]
    t = max(t, 1e-3)
    return math.log(t/(1-t + 1e-3))

def t2isnr(t):
   return 1/t2snr(t)

def nop(t):
    return t

def shift_respace_fn(t, shift=3.0):
    return t / (t + (1 - t) * shift)

import logging
logger = logging.getLogger(__name__)

class AdamLMSampler(BaseSampler):
    def __init__(
            self,
            order: int = 2,
            timeshift: float = 1.0,
            guidance_interval_min: float = 0.0,
            guidance_interval_max: float = 1.0,
            lms_transform_fn: Callable = nop,
            last_step=None,
            step_fn: Callable = ode_step_fn,
            *args,
            **kwargs
    ):
        super().__init__(*args, **kwargs)
        self.step_fn = step_fn

        assert self.scheduler is not None
        assert self.step_fn in [ode_step_fn, ]
        self.order = order
        self.lms_transform_fn = lms_transform_fn
        self.last_step = last_step
        self.guidance_interval_min = guidance_interval_min
        self.guidance_interval_max = guidance_interval_max

        if self.last_step is None:
            self.last_step = 1.0/self.num_steps
        timesteps = torch.linspace(0.0, 1 - self.last_step, self.num_steps)
        timesteps = torch.cat([timesteps, torch.tensor([1.0])], dim=0)
        self.timesteps = shift_respace_fn(timesteps, timeshift)
        self.timedeltas = self.timesteps[1:] - self.timesteps[:-1]
        self._reparameterize_coeffs()

    def _reparameterize_coeffs(self):
        solver_coeffs = [[] for _ in range(self.num_steps)]
        for i in range(0, self.num_steps):
            pre_vs = [1.0, ]*(i+1)
            pre_ts = self.lms_transform_fn(self.timesteps[:i+1])
            int_t_start = self.lms_transform_fn(self.timesteps[i])
            int_t_end = self.lms_transform_fn(self.timesteps[i+1])

            order_annealing = self.order #self.num_steps - i
            order = min(self.order, i + 1, order_annealing)

            _, coeffs = lagrange_preint(order, pre_vs, pre_ts, int_t_start, int_t_end)
            solver_coeffs[i] = coeffs
        self.solver_coeffs = solver_coeffs

    def _impl_sampling(self, net, noise, condition, uncondition):
        """
        sampling process of Euler sampler
        -
        """
        batch_size = noise.shape[0]
        cfg_condition = torch.cat([uncondition, condition], dim=0)
        x = x0 = noise
        pred_trajectory = []
        x_trajectory = [noise, ]
        v_trajectory = []
        t_cur = torch.zeros([batch_size,]).to(noise.device, noise.dtype)
        timedeltas = self.timedeltas
        solver_coeffs = self.solver_coeffs
        for i  in range(self.num_steps):
            cfg_x = torch.cat([x, x], dim=0)
            cfg_t = t_cur.repeat(2)
            out = net(cfg_x, cfg_t, cfg_condition)
            if t_cur[0] > self.guidance_interval_min and t_cur[0] < self.guidance_interval_max:
                guidance = self.guidance
                out = self.guidance_fn(out, guidance)
            else:
                out = self.guidance_fn(out, 1.0)
            pred_trajectory.append(out)
            out = torch.zeros_like(out)
            order = len(self.solver_coeffs[i])
            for j in range(order):
                out += solver_coeffs[i][j] * pred_trajectory[-order:][j]
            v = out
            dt = timedeltas[i]
            x0 = self.step_fn(x, v, 1-t_cur[0], s=0, w=0)
            x = self.step_fn(x, v, dt, s=0, w=0)
            t_cur += dt
            x_trajectory.append(x)
            v_trajectory.append(v)
        v_trajectory.append(torch.zeros_like(noise))
        return x_trajectory, v_trajectory
    
class AdamLMSamplerJiT(BaseSampler):
    def __init__(
            self,
            order: int = 2,
            timeshift: float = 1.0,
            guidance_interval_min: float = 0.0,
            guidance_interval_max: float = 1.0,
            lms_transform_fn: Callable = nop,
            last_step=None,
            step_fn: Callable = ode_step_fn,
            *args,
            **kwargs
    ):
        super().__init__(*args, **kwargs)
        self.step_fn = step_fn

        assert self.scheduler is not None
        assert self.step_fn in [ode_step_fn, ]
        self.order = order
        self.lms_transform_fn = lms_transform_fn
        self.last_step = last_step
        self.guidance_interval_min = guidance_interval_min
        self.guidance_interval_max = guidance_interval_max

        if self.last_step is None:
            self.last_step = 1.0/self.num_steps
        timesteps = torch.linspace(0.0, 1 - self.last_step, self.num_steps)
        timesteps = torch.cat([timesteps, torch.tensor([1.0])], dim=0)
        self.timesteps = shift_respace_fn(timesteps, timeshift)
        self.timedeltas = self.timesteps[1:] - self.timesteps[:-1]
        self._reparameterize_coeffs()

    def _reparameterize_coeffs(self):
        solver_coeffs = [[] for _ in range(self.num_steps)]
        for i in range(0, self.num_steps):
            pre_vs = [1.0, ]*(i+1)
            pre_ts = self.lms_transform_fn(self.timesteps[:i+1])
            int_t_start = self.lms_transform_fn(self.timesteps[i])
            int_t_end = self.lms_transform_fn(self.timesteps[i+1])

            order_annealing = self.order #self.num_steps - i
            order = min(self.order, i + 1, order_annealing)

            _, coeffs = lagrange_preint(order, pre_vs, pre_ts, int_t_start, int_t_end)
            solver_coeffs[i] = coeffs
        self.solver_coeffs = solver_coeffs

    def _impl_sampling(self, net, noise, condition, uncondition):
        """
        sampling process of Euler sampler
        -
        """
        batch_size = noise.shape[0]
        cfg_condition = torch.cat([uncondition, condition], dim=0)
        x = x0 = noise
        pred_trajectory = []
        x_trajectory = [noise, ]
        v_trajectory = []
        t_cur = torch.zeros([batch_size,]).to(noise.device, noise.dtype)
        timedeltas = self.timedeltas
        solver_coeffs = self.solver_coeffs
        for i  in range(self.num_steps):
            cfg_x = torch.cat([x, x], dim=0)
            cfg_t = t_cur.repeat(2)
            out = net(cfg_x, cfg_t, cfg_condition)
            out = (out - cfg_x)/(1.0-cfg_t.view(-1, 1, 1, 1)).clamp_min(5e-2) # pred v
            if t_cur[0] > self.guidance_interval_min and t_cur[0] < self.guidance_interval_max:
                guidance = self.guidance
                out = self.guidance_fn(out, guidance)
            else:
                out = self.guidance_fn(out, 1.0)
            pred_trajectory.append(out)
            out = torch.zeros_like(out)
            order = len(self.solver_coeffs[i])
            for j in range(order):
                out += solver_coeffs[i][j] * pred_trajectory[-order:][j]
            v = out
            dt = timedeltas[i]
            x0 = self.step_fn(x, v, 1-t_cur[0], s=0, w=0)
            x = self.step_fn(x, v, dt, s=0, w=0)
            t_cur += dt
            x_trajectory.append(x)
            v_trajectory.append(v)
        v_trajectory.append(torch.zeros_like(noise))
        return x_trajectory, v_trajectory