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%% Cell type:markdown id: tags:
# Week 1.5: Programming Tutorial
<h1 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0">
<style>
.markdown {width:100%; position: relative}
article { position: relative }
</style>
<img src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" style="width:100px" />
<img src="https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png" style="width:100px" />
</h1>
<h2 style="height: 10px">
</h2>
*[CEGM1000 MUDE](http://mude.citg.tudelft.nl/): Week 1.5. September 30, 2024.*
*[CEGM1000 MUDE](http://mude.citg.tudelft.nl/): Week 1.6. October 7, 2024.*
_This notebook was prepared by Berend Bouvy and used in an in-class demonstration on Monday._
%% Cell type:markdown id: tags:
## Objects
%% Cell type:code id: tags:
``` python
import numpy as np
import matplotlib.pyplot as plt
import os
from func import *
import timeit
```
%% Cell type:code id: tags:
``` python
# Objective: Create a variable of each type in Python
int_var = #TODO: create an integer variable
float_var = #TODO: create a float variable
bool_var = #TODO: create a boolean variable
str_var = #TODO: create a string variable
list_var = #TODO: create a list variable
tuple_var = #TODO: create a tuple variable
dict_var = #TODO: create a dictionary variable
# Asserts
assert type(int_var) == int, f'Expected int but got {type(int_var)}' # This will throw an error if the type is incorrect
assert type(float_var) == float, f'Expected float but got {type(float_var)}' # This will throw an error if the type is incorrect
assert type(bool_var) == bool, f'Expected bool but got {type(bool_var)}' # This will throw an error if the type is incorrect
assert type(str_var) == str, f'Expected str but got {type(str_var)}' # This will throw an error if the type is incorrect
assert type(list_var) == list, f'Expected list but got {type(list_var)}' # This will throw an error if the type is incorrect
assert type(tuple_var) == tuple, f'Expected tuple but got {type(tuple_var)}' # This will throw an error if the type is incorrect
assert type(dict_var) == dict, f'Expected dict but got {type(dict_var)}' # This will throw an error if the type is incorrect
# import data
data = np.loadtxt('data.txt')
x = data[:,0]
y = data[:,1]
```
%% Cell type:code id: tags:
``` python
# relative path vs absolute path
# relative path: relative to the current working directory
# absolute path: full path from the root directory
# Create a variable that contains the current working directory using the os module
cwd = #TODO: get the current working directory
print(cwd)
# Get all the files in the current working directory
files = #TODO: get all the files in the current working directory
print(files)
# find path to data in data folder
data_dir = #TODO: find the path to the data folder
print(data_dir)
# read the data using absolute path and relative path
data_abs = #TODO: read the data using absolute path
data_rel = #TODO: read the data using relative path
# Asserts
assert data_abs == data_rel, 'Data read using absolute path and relative path are not the same' # This will throw an error if the data is not the same
A = #TODO: create the matrix A
x_hat, y_hat = #TODO: solve the system of equations
print(f"x_hat = {x_hat}")
```
%% Cell type:markdown id: tags:
$$ H_n = \sum_{k=1}^{n} \frac{1}{k} $$
%% Cell type:code id: tags:
``` python
def harmonic_series(n):
"""
This function calculates the harmonic series of n
"""
result = #TODO: calculate the harmonic series of n
return result
# Plotting
n = 100
x = #TODO: create a list of n values from 1 to n
y = #TODO: calculate the harmonic series of x, using list comprehension
#TODO: plot x and y, with labels and title
# asserts
assert harmonic_series(1) == 1, f'Expected 1 but got {harmonic_series(1)}'
assert harmonic_series(2) == 1.5, f'Expected 1.5 but got {harmonic_series(2)}'
assert harmonic_series(3) == 1.8333333333333333, f'Expected 1.8333333333333333 but got {harmonic_series(3)}'
# save x, y data
data = #TODO: create a 2D array with x and y using np.column_stack()
#TODO: save data to a csv file
```
# runtimes
%% Cell type:markdown id: tags:
funcs = [FD_1, FD_2, FD_3, FD_4]
[Wikipedia: Fibonacci sequence](https://en.wikipedia.org/wiki/Fibonacci_sequence)
assert np.allclose(funcs[0](x, y), funcs[1](x,y)), "FD_1 and FD_2 are not equal"
assert np.allclose(funcs[0](x, y), funcs[2](x,y)), "FD_1 and FD_3 are not equal"
assert np.allclose(funcs[0](x, y), funcs[3](x,y)), "FD_1 and FD_4 are not equal"
runtime = np.zeros(4)
for i in range(4):
runtime[i] = timeit.timeit(lambda: funcs[i](x, y), number=1000)
$$ F_n = F_{n-1} + F_{n-2} \quad \text{for} \quad n \geq 2 \quad \text{with} \quad F_0 = 0, \quad F_1 = 1$$
%% Cell type:code id: tags:
``` python
def fibonacci(n):
"""
This function will return the n-th numbers of the fibonacci sequence
"""
#TODO: calculate the n-th number of the fibonacci sequence
return result
# Asserts
assert fibonacci(0) == 0, f'Expected 0 but got {fibonacci(0)}' # This will throw an error if the result is incorrect
assert fibonacci(1) == 1, f'Expected 1 but got {fibonacci(1)}' # This will throw an error if the result is incorrect
assert fibonacci(2) == 1, f'Expected 1 but got {fibonacci(2)}' # This will throw an error if the result is incorrect
assert fibonacci(3) == 2, f'Expected 2 but got {fibonacci(3)}' # This will throw an error if the result is incorrect
print(f"runtimes: {runtime}")
```
%% Cell type:code id: tags:
%% Output
``` python
def fib_sequence(n):
"""
This function will return the first n numbers of the fibonacci sequence
"""
# result = #TODO: calculate the first n numbers of the fibonacci sequence
result = [0, 1]
if n == 0:
return []
elif n == 1:
return [0]
for i in range(2, n):
result.append(result[-1] + result[-2])
return result
# Asserts
assert fib_sequence(0) == [], f'Expected [] but got {fib_sequence(0)}' # This will throw an error if the result is incorrect
assert fib_sequence(1) == [0], f'Expected [0] but got {fib_sequence(1)}' # This will throw an error if the result is incorrect
assert fib_sequence(2) == [0, 1], f'Expected [0, 1] but got {fib_sequence(2)}' # This will throw an error if the result is incorrect
assert fib_sequence(3) == [0, 1, 1], f'Expected [0, 1, 1] but got {fib_sequence(3)}' # This will throw an error if the result is incorrect
assert fib_sequence(4) == [0, 1, 1, 2], f'Expected [0, 1, 1, 2] but got {fib_sequence(4)}' # This will throw an error if the result is incorrect
assert fib_sequence(5) == [0, 1, 1, 2, 3], f'Expected [0, 1, 1, 2, 3] but got {fib_sequence(5)}' # This will throw an error if the result is incorrect
```
runtimes: [0.0036198 0.079353 0.0814436 0.0611185]
%% Cell type:markdown id: tags:
**End of notebook.**
<h2 style="height: 60px">
</h2>
<h3 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; bottom: 60px; right: 50px; margin: 0; border: 0">
<style>
.markdown {width:100%; position: relative}
article { position: relative }
</style>
<a rel="license" href="http://creativecommons.org/licenses/by/4.0/">
<img alt="Creative Commons License" style="border-width:; width:88px; height:auto; padding-top:10px" src="https://i.creativecommons.org/l/by/4.0/88x31.png" />
</a>
<a rel="TU Delft" href="https://www.tudelft.nl/en/ceg">
<img alt="TU Delft" style="border-width:0; width:100px; height:auto; padding-bottom:0px" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" />
</a>
<a rel="MUDE" href="http://mude.citg.tudelft.nl/">
<img alt="MUDE" style="border-width:0; width:100px; height:auto; padding-bottom:0px" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png" />
</a>
</h3>
<span style="font-size: 75%">
&copy; Copyright 2024 <a rel="MUDE" href="http://mude.citg.tudelft.nl/">MUDE</a> TU Delft. This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/4.0/">CC BY 4.0 License</a>.
......
src/students/Tutorials/Week_1_6/Tutorial.ipynb
+ 32
− 133
View file @ 397a67cf
%% Cell type:markdown id: tags:
# Week 1.5: Programming Tutorial
<h1 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0">
<style>
.markdown {width:100%; position: relative}
article { position: relative }
</style>
<img src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" style="width:100px" />
<img src="https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png" style="width:100px" />
</h1>
<h2 style="height: 10px">
</h2>
*[CEGM1000 MUDE](http://mude.citg.tudelft.nl/): Week 1.5. September 30, 2024.*
*[CEGM1000 MUDE](http://mude.citg.tudelft.nl/): Week 1.6. October 7, 2024.*
_This notebook was prepared by Berend Bouvy and used in an in-class demonstration on Monday._
%% Cell type:markdown id: tags:
## Objects
%% Cell type:code id: tags:
``` python
import numpy as np
import matplotlib.pyplot as plt
import os
from func import *
import timeit
```
%% Cell type:code id: tags:
``` python
# Objective: Create a variable of each type in Python
int_var = #TODO: create an integer variable
float_var = #TODO: create a float variable
bool_var = #TODO: create a boolean variable
str_var = #TODO: create a string variable
list_var = #TODO: create a list variable
tuple_var = #TODO: create a tuple variable
dict_var = #TODO: create a dictionary variable
# Asserts
assert type(int_var) == int, f'Expected int but got {type(int_var)}' # This will throw an error if the type is incorrect
assert type(float_var) == float, f'Expected float but got {type(float_var)}' # This will throw an error if the type is incorrect
assert type(bool_var) == bool, f'Expected bool but got {type(bool_var)}' # This will throw an error if the type is incorrect
assert type(str_var) == str, f'Expected str but got {type(str_var)}' # This will throw an error if the type is incorrect
assert type(list_var) == list, f'Expected list but got {type(list_var)}' # This will throw an error if the type is incorrect
assert type(tuple_var) == tuple, f'Expected tuple but got {type(tuple_var)}' # This will throw an error if the type is incorrect
assert type(dict_var) == dict, f'Expected dict but got {type(dict_var)}' # This will throw an error if the type is incorrect
# import data
data = np.loadtxt('data.txt')
x = data[:,0]
y = data[:,1]
```
%% Cell type:code id: tags:
``` python
# relative path vs absolute path
# relative path: relative to the current working directory
# absolute path: full path from the root directory
# Create a variable that contains the current working directory using the os module
cwd = #TODO: get the current working directory
print(cwd)
# Get all the files in the current working directory
files = #TODO: get all the files in the current working directory
print(files)
# find path to data in data folder
data_dir = #TODO: find the path to the data folder
print(data_dir)
# read the data using absolute path and relative path
data_abs = #TODO: read the data using absolute path
data_rel = #TODO: read the data using relative path
# Asserts
assert data_abs == data_rel, 'Data read using absolute path and relative path are not the same' # This will throw an error if the data is not the same
A = #TODO: create the matrix A
x_hat, y_hat = #TODO: solve the system of equations
print(f"x_hat = {x_hat}")
```
%% Cell type:markdown id: tags:
$$ H_n = \sum_{k=1}^{n} \frac{1}{k} $$
%% Cell type:code id: tags:
``` python
def harmonic_series(n):
"""
This function calculates the harmonic series of n
"""
result = #TODO: calculate the harmonic series of n
return result
# Plotting
n = 100
x = #TODO: create a list of n values from 1 to n
y = #TODO: calculate the harmonic series of x, using list comprehension
#TODO: plot x and y, with labels and title
# asserts
assert harmonic_series(1) == 1, f'Expected 1 but got {harmonic_series(1)}'
assert harmonic_series(2) == 1.5, f'Expected 1.5 but got {harmonic_series(2)}'
assert harmonic_series(3) == 1.8333333333333333, f'Expected 1.8333333333333333 but got {harmonic_series(3)}'
# save x, y data
data = #TODO: create a 2D array with x and y using np.column_stack()
#TODO: save data to a csv file
```
# runtimes
%% Cell type:markdown id: tags:
funcs = [FD_1, FD_2, FD_3, FD_4]
[Wikipedia: Fibonacci sequence](https://en.wikipedia.org/wiki/Fibonacci_sequence)
assert np.allclose(funcs[0](x, y), funcs[1](x,y)), "FD_1 and FD_2 are not equal"
assert np.allclose(funcs[0](x, y), funcs[2](x,y)), "FD_1 and FD_3 are not equal"
assert np.allclose(funcs[0](x, y), funcs[3](x,y)), "FD_1 and FD_4 are not equal"
runtime = np.zeros(4)
for i in range(4):
runtime[i] = timeit.timeit(lambda: funcs[i](x, y), number=1000)
$$ F_n = F_{n-1} + F_{n-2} \quad \text{for} \quad n \geq 2 \quad \text{with} \quad F_0 = 0, \quad F_1 = 1$$
%% Cell type:code id: tags:
``` python
def fibonacci(n):
"""
This function will return the n-th numbers of the fibonacci sequence
"""
#TODO: calculate the n-th number of the fibonacci sequence
return result
# Asserts
assert fibonacci(0) == 0, f'Expected 0 but got {fibonacci(0)}' # This will throw an error if the result is incorrect
assert fibonacci(1) == 1, f'Expected 1 but got {fibonacci(1)}' # This will throw an error if the result is incorrect
assert fibonacci(2) == 1, f'Expected 1 but got {fibonacci(2)}' # This will throw an error if the result is incorrect
assert fibonacci(3) == 2, f'Expected 2 but got {fibonacci(3)}' # This will throw an error if the result is incorrect
print(f"runtimes: {runtime}")
```
%% Cell type:code id: tags:
%% Output
``` python
def fib_sequence(n):
"""
This function will return the first n numbers of the fibonacci sequence
"""
# result = #TODO: calculate the first n numbers of the fibonacci sequence
result = [0, 1]
if n == 0:
return []
elif n == 1:
return [0]
for i in range(2, n):
result.append(result[-1] + result[-2])
return result
# Asserts
assert fib_sequence(0) == [], f'Expected [] but got {fib_sequence(0)}' # This will throw an error if the result is incorrect
assert fib_sequence(1) == [0], f'Expected [0] but got {fib_sequence(1)}' # This will throw an error if the result is incorrect
assert fib_sequence(2) == [0, 1], f'Expected [0, 1] but got {fib_sequence(2)}' # This will throw an error if the result is incorrect
assert fib_sequence(3) == [0, 1, 1], f'Expected [0, 1, 1] but got {fib_sequence(3)}' # This will throw an error if the result is incorrect
assert fib_sequence(4) == [0, 1, 1, 2], f'Expected [0, 1, 1, 2] but got {fib_sequence(4)}' # This will throw an error if the result is incorrect
assert fib_sequence(5) == [0, 1, 1, 2, 3], f'Expected [0, 1, 1, 2, 3] but got {fib_sequence(5)}' # This will throw an error if the result is incorrect
```
runtimes: [0.0036198 0.079353 0.0814436 0.0611185]
%% Cell type:markdown id: tags:
**End of notebook.**
<h2 style="height: 60px">
</h2>
<h3 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; bottom: 60px; right: 50px; margin: 0; border: 0">
<style>
.markdown {width:100%; position: relative}
article { position: relative }
</style>
<a rel="license" href="http://creativecommons.org/licenses/by/4.0/">
<img alt="Creative Commons License" style="border-width:; width:88px; height:auto; padding-top:10px" src="https://i.creativecommons.org/l/by/4.0/88x31.png" />
</a>
<a rel="TU Delft" href="https://www.tudelft.nl/en/ceg">
<img alt="TU Delft" style="border-width:0; width:100px; height:auto; padding-bottom:0px" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" />
</a>
<a rel="MUDE" href="http://mude.citg.tudelft.nl/">
<img alt="MUDE" style="border-width:0; width:100px; height:auto; padding-bottom:0px" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png" />
</a>
</h3>
<span style="font-size: 75%">
&copy; Copyright 2024 <a rel="MUDE" href="http://mude.citg.tudelft.nl/">MUDE</a> TU Delft. This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/4.0/">CC BY 4.0 License</a>.
......
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