diff --git a/time_spline/main.py b/time_spline/main.py
new file mode 100644
index 0000000000000000000000000000000000000000..2375c156b34e2cb1d11408dfda7d4f1e2e17d381
--- /dev/null
+++ b/time_spline/main.py
@@ -0,0 +1,114 @@
+import matplotlib.pyplot as plt
+import numpy as np
+import math
+
+
+def hermite1000(x, h):
+ mask = (x >= -h) & (x <= h)
+ return mask * np.polyval([2/(h*h*h), -3/(h*h), 0, 1], np.abs(x))
+
+
+def hermite0100(x, h):
+ mask = (x >= -h) & (x <= h)
+ return mask * np.polyval([1/(h*h), -2/h, 1, 0], np.abs(x))*np.sign(x)
+
+
+def main():
+ n = 512
+ n_coarse = 8
+ x = np.linspace(-2, 10, n)
+ y = np.zeros((n,))
+ x_coarse = np.arange(n_coarse)
+ y_coarse = np.sin(math.pi * x_coarse/n_coarse)
+
+ y_coarse_pad = np.zeros((n_coarse+2,))
+ y_coarse_pad[1:-1] = y_coarse
+
+ # y_dot = y_coarse_pad[2:] - y_coarse_pad[:-2]
+ y_dot = math.pi * np.cos(math.pi * x_coarse/n_coarse) / n_coarse
+ # y_dot = np.cos(math.pi * x_coarse/n_coarse)
+ # y_coarse = [1, 2, 0.5, 3, ]
+
+ for i in range(n_coarse):
+ h1 = hermite1000(x - i, 1)
+ h2 = hermite0100(x - i, 1)
+ y += h1 * y_coarse[i]
+ y += h2 * y_dot[i]
+
+ plt.figure()
+ plt.plot(x_coarse, y_coarse, "r.-")
+ # plt.plot(x_coarse, y_dot, "r.-")
+ plt.plot(x, y, 'b')
+ plt.show()
+
+ return
+
+ # for
+ h1 = hermite1000(x, 1)
+ h2 = hermite0100(x, 1)
+ h1_1 = hermite1000(x-1, 1)
+ h2_1 = hermite0100(x-1, 1)
+
+ # 1 2
+ y = h1 + 2*h1_1 + h2 * 1 + h2_1 * 0
+
+ plt.figure()
+ plt.plot(x, y, "b")
+ # plt.plot(x, h2, "r")
+ # plt.plot(x, h1_1, "b")
+ # plt.plot(x, h2_1, "r")
+ plt.show()
+
+
+def main2():
+ x = np.loadtxt("x.txt")
+ v = np.loadtxt("v.txt")
+ t = np.loadtxt("t.txt")
+ # p = np.polyfit(t, x, 5)
+ # x_approx = np.polyval(p,t)
+
+ k = 60
+ t_coarse = t[::k]
+ x_coarse = x[::k]
+ v_coarse = v[::k]
+ # print(len(t))
+ # t_coa
+ # x_coarse = x[]
+
+ # x_dot = np.zeros_like(x)
+ # x_dot[:-1] = (x[1:] - x[:-1])/(t[1:] - t[:-1])
+
+ plt.figure()
+ plt.plot(t, x, 'b')
+ plt.plot(t_coarse, x_coarse, 'bo')
+ # plt.plot(t, x_dot)
+ # plt.plot(t, v, 'r')
+ #
+ # plt.show()
+ # return
+
+ h = t_coarse[1] - t_coarse[0]
+
+ n_coarse = len(t_coarse)
+
+ x_approx = np.zeros_like(x)
+ for i in range(n_coarse):
+ s1 = hermite1000(t - i * h, h)
+ s2 = hermite0100(t - i * h, h)
+ x_approx += s1 * x_coarse[i]
+ x_approx += s2 * v_coarse[i]
+
+ print(n_coarse)
+
+ plt.plot(t, x_approx, 'r')
+
+ plt.figure()
+ plt.plot(t, x-x_approx, "r")
+ plt.title("error")
+ # plt.plot(t_coarse, x_coarse, "r.")
+ plt.show()
+ # print(x)
+
+
+if __name__ == "__main__":
+ main2()
diff --git a/time_spline/t.txt b/time_spline/t.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7f9375bbf26b8f531ae28b39e9aca9f80fd28e20
--- /dev/null
+++ b/time_spline/t.txt
@@ -0,0 +1,301 @@
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diff --git a/time_spline/v.txt b/time_spline/v.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a7273f67bd39047a89cd798fc1f00fd373a99cce
--- /dev/null
+++ b/time_spline/v.txt
@@ -0,0 +1,301 @@
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diff --git a/time_spline/x.txt b/time_spline/x.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a157ace58d3d90e76d47b17e9e5f7148d3de8189
--- /dev/null
+++ b/time_spline/x.txt
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