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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,26 +1,59 @@ | ||
| import numpy as np | ||
|
|
||
| # how should the error propagate? | ||
|
|
||
| # how should the error propagate? | ||
| # its all partial derivatives | ||
| def calc_error_prop(true_L, true_theta, true_a, dthing, time, wrt = 'theta_0'): | ||
| if wrt == 'theta_0': | ||
| dx_dthing = true_L * np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time)) * \ | ||
| np.cos(np.sqrt(true_a / true_L) * time) * dthing | ||
| if wrt == 'L': | ||
| dx_dthing = (0.5 * true_theta * time * np.sqrt(true_a / true_L) * np.sin(time * np.sqrt(true_a / true_L)) * \ | ||
| np.cos(true_theta * np.cos(time * np.sqrt(true_a / true_L))) + \ | ||
| np.sin(true_theta * np.cos(time * np.sqrt(true_a / true_L)))) * dthing | ||
| if wrt == 'a_g': | ||
| dx_dthing = (- 0.5 * np.sqrt(true_L / true_a) * true_theta * time * \ | ||
| np.sin(np.sqrt(true_a / true_L) * time) * \ | ||
| np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time))) * dthing | ||
| if wrt == 'all': | ||
| dx_dthing = true_L * np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time)) * \ | ||
| np.cos(np.sqrt(true_a / true_L) * time) * dthing[1] + \ | ||
| (0.5 * true_theta * time * np.sqrt(true_a / true_L) * np.sin(time * np.sqrt(true_a / true_L)) * \ | ||
| np.cos(true_theta * np.cos(time * np.sqrt(true_a / true_L))) + \ | ||
| np.sin(true_theta * np.cos(time * np.sqrt(true_a / true_L)))) * dthing[0] + \ | ||
| (- 0.5 * np.sqrt(true_L / true_a) * true_theta * time * \ | ||
| np.sin(np.sqrt(true_a / true_L) * time) * \ | ||
| np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time))) * dthing[2] | ||
| def calc_error_prop(true_L, true_theta, true_a, dthing, time, wrt="theta_0"): | ||
| if wrt == "theta_0": | ||
| dx_dthing = ( | ||
| true_L | ||
| * np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time)) | ||
| * np.cos(np.sqrt(true_a / true_L) * time) | ||
| * dthing | ||
| ) | ||
| if wrt == "L": | ||
| dx_dthing = ( | ||
| 0.5 | ||
| * true_theta | ||
| * time | ||
| * np.sqrt(true_a / true_L) | ||
| * np.sin(time * np.sqrt(true_a / true_L)) | ||
| * np.cos(true_theta * np.cos(time * np.sqrt(true_a / true_L))) | ||
| + np.sin(true_theta * np.cos(time * np.sqrt(true_a / true_L))) | ||
| ) * dthing | ||
| if wrt == "a_g": | ||
| dx_dthing = ( | ||
| -0.5 | ||
| * np.sqrt(true_L / true_a) | ||
| * true_theta | ||
| * time | ||
| * np.sin(np.sqrt(true_a / true_L) * time) | ||
| * np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time)) | ||
| ) * dthing | ||
| if wrt == "all": | ||
| dx_dthing = ( | ||
| true_L | ||
| * np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time)) | ||
| * np.cos(np.sqrt(true_a / true_L) * time) | ||
| * dthing[1] | ||
| + ( | ||
| 0.5 | ||
| * true_theta | ||
| * time | ||
| * np.sqrt(true_a / true_L) | ||
| * np.sin(time * np.sqrt(true_a / true_L)) | ||
| * np.cos(true_theta * np.cos(time * np.sqrt(true_a / true_L))) | ||
| + np.sin(true_theta * np.cos(time * np.sqrt(true_a / true_L))) | ||
| ) | ||
| * dthing[0] | ||
| + ( | ||
| -0.5 | ||
| * np.sqrt(true_L / true_a) | ||
| * true_theta | ||
| * time | ||
| * np.sin(np.sqrt(true_a / true_L) * time) | ||
| * np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time)) | ||
| ) | ||
| * dthing[2] | ||
| ) | ||
| return abs(dx_dthing) |