tp14 (ft not finished)

.gitignore

@@ -0,0 +1,10 @@
+# Python-generated files
+__pycache__/
+*.py[oc]
+build/
+dist/
+wheels/
+*.egg-info
+
+# Virtual environments
+.venv

.python-version

@@ -0,0 +1 @@
+3.14

LICENSE

@@ -0,0 +1,674 @@
+                    GNU GENERAL PUBLIC LICENSE
+                       Version 3, 29 June 2007
+
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+IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
+ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
+
+  16. Limitation of Liability.
+
+  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+  17. Interpretation of Sections 15 and 16.
+
+  If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+                     END OF TERMS AND CONDITIONS
+
+            How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+    <one line to give the program's name and a brief idea of what it does.>
+    Copyright (C) <year>  <name of author>
+
+    This program is free software: you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with this program.  If not, see <https://www.gnu.org/licenses/>.
+
+Also add information on how to contact you by electronic and paper mail.
+
+  If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+    <program>  Copyright (C) <year>  <name of author>
+    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+    This is free software, and you are welcome to redistribute it
+    under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License.  Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+<https://www.gnu.org/licenses/>.
+
+  The GNU General Public License does not permit incorporating your program
+into proprietary programs.  If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library.  If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.  But first, please read
+<https://www.gnu.org/licenses/why-not-lgpl.html>.

main.py

@@ -0,0 +1,6 @@
+def main():
+    print("Hello from mp2i-physique!")
+
+
+if __name__ == "__main__":
+    main()

pyproject.toml

@@ -0,0 +1,13 @@
+[project]
+name = "mp2i-physique"
+version = "0.1.0"
+description = "Add your description here"
+readme = "README.md"
+requires-python = ">=3.14"
+dependencies = [
+    "numpy",
+    "polars",
+    "matplotlib",
+    "nfft",
+    "scipy",
+]

tp14/tp14.py

@@ -0,0 +1,80 @@
+import numpy as np
+import polars as pl
+import matplotlib.pyplot as plt
+import os
+import scipy
+import nfft
+
+DATA_PATH = os.path.dirname(__file__) + "/data.csv"
+
+df = pl.read_csv(DATA_PATH)
+
+plt.scatter(x="Time (s)", y="Absolute acceleration (m/s^2)", data=df)
+plt.show()
+
+start = 25
+end = 125
+
+df = df.filter((pl.col("Time (s)") >= start) & (pl.col("Time (s)") <= end))
+
+t = df["Time (s)"].to_numpy()
+a = df["Absolute acceleration (m/s^2)"].to_numpy()
+
+
+plt.scatter(x=t, y=a)
+plt.show()
+
+
+# f = scipy.interpolate.interp1d(t, a, fill_value="extrapolate")
+
+# N = len(df)
+
+
+# plt.plot(f)
+# plt.show()
+
+# dt = []
+
+# for i in range(len(df)-1):
+#     dt.append(df["Time (s)"][i+1] - df["Time (s)"][i])
+
+# plt.plot(dt)
+# plt.show()
+
+# define Fourier coefficients
+N = len(df)
+k = N // 2 + np.arange(N)
+
+# df_ft = nfft.nfft(t, a-np.mean(df["Absolute acceleration (m/s^2)"].to_numpy()))
+# spectre = np.abs(df_ft) * 2 / N
+# freq = np.arange(N) / (end-start)
+
+# amoy = np.mean(a)
+# tfd = np.fft.fft(a - amoy)
+# N = len(a)
+# spectre = np.abs(tfd) * 2 / N
+# freq = np.arange(N) / (end-start)
+
+# # print(df_ft)
+# plt.plot(freq, spectre)
+# plt.show()
+
+f = scipy.interpolate.interp1d(t, a, fill_value="extrapolate")
+
+N = len(df)
+
+# I made a bigger domain
+x = np.linspace(start, end, N)
+
+y = f(x)
+
+plt.plot(x, y)
+plt.show()
+
+xf = scipy.fftpack.fftshift(scipy.fftpack.fftfreq(len(x), np.diff(x)[0]))
+yf = scipy.fftpack.ifft(y)
+
+plt.figure()
+plt.plot(scipy.fftpack.fftshift(xf), np.abs(yf))
+# plt.xlim(-30, 30)
+plt.show()

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