@@ -28,6 +28,19 @@ def is_number(value: Union[int, float, str]):
2828 -------
2929 boolean
3030 True if numerical, otherwise False
31+
32+ Examples
33+ --------
34+ >>> from pymove.utils.math import is_number
35+ >>> a,b,c,d = 50,22.5,'11.25','house'
36+ >>> print(is_number(a), type(is_number(a)))
37+ True <class 'bool'>
38+ >>> print(is_number(b), type(is_number(b)))
39+ True <class 'bool'>-
40+ >>> print(is_number(c), type(is_number(c)))
41+ True <class 'bool'>
42+ >>> print(is_number(d), type(is_number(d)))
43+ False <class 'bool'>
3144 """
3245 try :
3346 float (value )
@@ -55,6 +68,12 @@ def std(values_array: List[float]) -> float:
5568 squaring with * is over 3 times as fast as with **2
5669 http://stackoverflow.com/questions/29046346/comparison-of-power-to-multiplication-in-python
5770
71+ Example
72+ -------
73+ >>> from pymove.utils.math import std
74+ >>> list = [7.8,9.7,6.4,5.6, 10]
75+ >>> print(std(list), type(std(list)))
76+ 1.7435595774162693 <class 'float'>
5877 """
5978 size = len (values_array )
6079 mean = sum (values_array ) / size
@@ -79,6 +98,12 @@ def avg_std(values_array: List[float]) -> Tuple[float, float]:
7998 float
8099 Represents the value of standard deviation.
81100
101+ Example
102+ -------
103+ >>> from pymove.utils.math import avg_std
104+ >>> list = [7.8,9.7,6.4,5.6, 10]
105+ >>> print(avg_std(list), type(avg_std(list)))
106+ 1.9493588689617927 <class 'float'>
82107 """
83108 avg = sum (values_array ) / len (values_array )
84109 return avg , std (values_array )
@@ -98,6 +123,12 @@ def std_sample(values_array: List[float]) -> float:
98123 float
99124 Represents the value of standard deviation of sample.
100125
126+ Example
127+ -------
128+ >>> from pymove.utils.math import std_sample
129+ >>> list = [7.8,9.7,6.4,5.6, 10]
130+ >>> print(std_sample(list), type(std_sample(list)))
131+ 1.9493588689617927 <class 'float'>
101132 """
102133 size = len (values_array )
103134 return std (values_array ) * math .sqrt (size / (size - 1 ))
@@ -119,6 +150,12 @@ def avg_std_sample(values_array: List[float]) -> Tuple[float, float]:
119150 float
120151 Represents the standard deviation of sample.
121152
153+ Example
154+ -------
155+ >>> from pymove.utils.math import avg_std_sample
156+ >>> list = [7.8,9.7,6.4,5.6, 10]
157+ >>> print(avg_std_sample(list), type(avg_std_sample(list)))
158+ (7.9, 1.9493588689617927) <class 'tuple'>
122159 """
123160 avg = sum (values_array ) / len (values_array )
124161 return avg , std_sample (values_array )
@@ -143,6 +180,16 @@ def arrays_avg(
143180 float
144181 The mean of the array elements.
145182
183+ Examples
184+ --------
185+ >>> from pymove.utils.math import arrays_avg
186+ >>> list = [7.8,9.7,6.4,5.6, 10]
187+ >>> weights = [0.1,0.3,0.15,0.15,0.3]
188+ >>> print('standard average', arrays_avg(list), type(arrays_avg(list)))
189+ standard average 7.9 <class 'float'>
190+ >>> print('weighted average: ', arrays_avg(list, weights),
191+ type(arrays_avg(list, weights)))
192+ weighted average: 1.6979999999999997 <class 'float'>
146193 """
147194 n = len (values_array )
148195
@@ -181,7 +228,12 @@ def array_stats(values_array: List[float]) -> Tuple[float, float, int]:
181228 The sum of the square value of each element in the array.
182229 int.
183230 The number of elements in the array.
184-
231+ Example
232+ -------
233+ >>> from pymove.utils.math import array_stats
234+ >>> list = [7.8,9.7,6.4,5.6, 10]
235+ >>> print(array_stats(list), type(array_stats(list)))
236+ (39.5, 327.25, 5) <class 'tuple'>
185237 """
186238 sum_ = 0
187239 sum_sq = 0
@@ -215,10 +267,11 @@ def interpolation(x0: float, y0: float, x1: float, y1: float, x: float) -> float
215267 float.
216268 Is the interpolated or extrapolated value.
217269
218- Examples
219- --------
220- - interpolation 1: (30, 3, 40, 5, 37) -> 4.4
221- - interpolation 2: (30, 3, 40, 5, 35) -> 4.0
222-
270+ Example
271+ -------
272+ >>> from pymove.utils.math import interpolation
273+ >>> x0,y0,x1,y1,x = 2,4,3,6,3.5
274+ >>> print(interpolation(x0,y0,x1,y1,x), type(interpolation(x0,y0,x1,y1,x)))
275+ 7.0 <class 'float'>
223276 """
224277 return y0 + (y1 - y0 ) * ((x - x0 ) / (x1 - x0 ))
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