Reformulate Math Functions

This commit is contained in:
D-X-Y
2021-04-26 05:16:38 -07:00
parent 1980779053
commit e1818694a4
14 changed files with 308 additions and 254 deletions

View File

@@ -8,8 +8,6 @@ from typing import Optional
import torch
import torch.utils.data as data
from .math_base_funcs import QuadraticFunc, QuarticFunc
class UnifiedSplit:
"""A class to unify the split strategy."""
@@ -39,102 +37,20 @@ class UnifiedSplit:
return self._mode
class SinGenerator(UnifiedSplit, data.Dataset):
"""The synethtic generator for the dynamically changing environment.
- x in [0, 1]
- y = amplitude-scale-of(x) * sin( period-phase-shift-of(x) )
- where
- the amplitude scale is a quadratic function of x
- the period-phase-shift is another quadratic function of x
"""
class TimeStamp(UnifiedSplit, data.Dataset):
"""The timestamp dataset."""
def __init__(
self,
min_timestamp: float = 0.0,
max_timestamp: float = 1.0,
num: int = 100,
num_sin_phase: int = 7,
min_amplitude: float = 1,
max_amplitude: float = 4,
phase_shift: float = 0,
mode: Optional[str] = None,
):
self._amplitude_scale = QuadraticFunc(
[(0, min_amplitude), (0.5, max_amplitude), (1, min_amplitude)]
)
self._num_sin_phase = num_sin_phase
self._interval = 1.0 / (float(num) - 1)
self._min_timestamp = min_timestamp
self._max_timestamp = max_timestamp
self._interval = (max_timestamp - min_timestamp) / (float(num) - 1)
self._total_num = num
fitting_data = []
temp_max_scalar = 2 ** (num_sin_phase - 1)
for i in range(num_sin_phase):
value = (2 ** i) / temp_max_scalar
next_value = (2 ** (i + 1)) / temp_max_scalar
for _phase in (0, 0.25, 0.5, 0.75):
inter_value = value + (next_value - value) * _phase
fitting_data.append((inter_value, math.pi * (2 * i + _phase)))
self._period_phase_shift = QuarticFunc(fitting_data)
UnifiedSplit.__init__(self, self._total_num, mode)
self._transform = None
def __iter__(self):
self._iter_num = 0
return self
def __next__(self):
if self._iter_num >= len(self):
raise StopIteration
self._iter_num += 1
return self.__getitem__(self._iter_num - 1)
def set_transform(self, transform):
self._transform = transform
def transform(self, x):
if self._transform is None:
return x
else:
return self._transform(x)
def __getitem__(self, index):
assert 0 <= index < len(self), "{:} is not in [0, {:})".format(index, len(self))
index = self._indexes[index]
position = self._interval * index
value = self._amplitude_scale(position) * math.sin(
self._period_phase_shift(position)
)
return index, position, self.transform(value)
def __len__(self):
return len(self._indexes)
def __repr__(self):
return (
"{name}({cur_num:}/{total} elements,\n"
"amplitude={amplitude},\n"
"period_phase_shift={period_phase_shift})".format(
name=self.__class__.__name__,
cur_num=len(self),
total=self._total_num,
amplitude=self._amplitude_scale,
period_phase_shift=self._period_phase_shift,
)
)
class ConstantGenerator(UnifiedSplit, data.Dataset):
"""The constant generator."""
def __init__(
self,
num: int = 100,
constant: float = 0.1,
mode: Optional[str] = None,
):
self._total_num = num
self._constant = constant
UnifiedSplit.__init__(self, self._total_num, mode)
def __iter__(self):
@@ -150,7 +66,8 @@ class ConstantGenerator(UnifiedSplit, data.Dataset):
def __getitem__(self, index):
assert 0 <= index < len(self), "{:} is not in [0, {:})".format(index, len(self))
index = self._indexes[index]
return index, index, self._constant
timestamp = self._min_timestamp + self._interval * index
return index, timestamp
def __len__(self):
return len(self._indexes)