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| Hello, WOrld! |
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| Heoije |
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| #TAG Strassen's Algorithm | |
| from rp import * #pip install rp | |
| import numba #pip install numba | |
| def strassen(A,B): | |
| #See https://4.bp.blogspot.com/-vIUyUdAtSpo/V-N3jvhf4RI/AAAAAAAAibE/85PpZt3rS7MYNq17WNrTshpW01D5Ad-bQCLcB/s1600/strassen%2Balgorithm.GIF | |
| global total_strassen_additions,total_strassen_multiplications | |
| A=np.asarray(A) | |
| B=np.asarray(B) |
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| #AMS326 Test 2 Question 1 Ryan Burgert Spring 2020 110176886 | |
| #There's an accompanying graph in desmos: https://www.desmos.com/calculator/ofm79agcdp | |
| from math import sqrt,pi as π | |
| r1=13.333 | |
| r2=15.555 | |
| h=8.888 | |
| k=1.984 | |
| def r(y): | |
| #radius at height y |
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| from rp import * | |
| class KDTreeNode: | |
| def __init__(self,points,horz_split=True,level=1,parent=None): | |
| self.points =as_complex_vector(points) | |
| self.horz_split=horz_split | |
| self.level =level | |
| self.median=median(map(self.key,self.points)) | |
| self.upper_points =[point for point in points if self.key(point) >self.median] |
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| #To run this code, please use "pip3 install rp matplotlib numpy" | |
| n=2#Find the nth smallest edge out of N points | |
| N=4 | |
| while True: | |
| from rp import * | |
| points=random_floats_complex(N) | |
| points=as_points_array(points) | |
| points=list(map(tuple,points)) |
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| N=1000 | |
| tic() | |
| for _ in range(N): | |
| a=9 | |
| if a==1:pass | |
| elif a==2:pass | |
| elif a==3:pass | |
| elif a==4:pass | |
| elif a==5:pass |
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| #Ryan Burgert AMS326 HW3 Q1 Spring 2020 | |
| #My solution uses euler's method | |
| #Results: | |
| # Total travel time for vB = 7 is 4814.712 | |
| # Total travel time for vB = 14 is 822.863 | |
| # Total travel time for vB = 21 is 441.819 | |
| from math import cos,sqrt | |
| from rp import * |
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| #Ryan Burgert AMS326 HW3 Q2 Spring 2020 | |
| # I used 1984444 trials instead of 19844444444444 like specified in the homework, because it gives the same answers (albeit at slightly less precision) | |
| # SAMPLE OUTPUT SHOWN BELOW: | |
| # Below is a table that shows the proability of hitting exactly k lines given a disc of diameter d and line spacing w=1 | |
| # d=0.75 d=0.1 d=0.3 d=0.5 d=0.6 d=0.7 d=0.8 d=0.9 d=1.5 d=2.0 d=3.0 | |
| # k=0 0.249757 0.900294 0.699491 0.500899 0.399538 0.300020 0.200081 0.100059 0.000000 0.0 0.0 | |
| # k=1 0.749574 0.100025 0.299628 0.499491 0.600155 0.699893 0.800064 0.900145 0.500391 0.0 0.0 | |
| # k=2 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.499718 1.0 0.0 | |
| # k=3 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.0 1.0 | |
| # k=4 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.00000 |
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| #Ryan Burgert AMS326 HW3 Q2 Spring 2020 | |
| # I used 1984444 trials instead of 19844444444444 like specified in the homework, because it gives the same answers (albeit at slightly less precision) | |
| # Originally this code was meant to calculate the probability of needles being thrown onto the table; I modified it once I realized the question was asking for discs (and not needles) | |
| # If you want to see how it works with needles, replace and relpace this code, replacing "type=disc" with "type=needle" | |
| # SAMPLE OUTPUT SHOWN BELOW: | |
| # Below is a table that shows the proability of hitting exactly k lines given a disc of diameter d and line spacing w=1 | |
| # d=0.75 d=0.1 d=0.3 d=0.5 d=0.6 d=0.7 d=0.8 d=0.9 d=1.5 d=2.0 d=3.0 | |
| # k=0 0.249757 0.900294 0.699491 0.500899 0.399538 0.300020 0.200081 0.100059 0.000000 0.0 0.0 | |
| # k=1 0.749574 0.100025 0.299628 0.499491 0.600155 0.699893 0.800064 0.900145 0.500391 0.0 0.0 | |
| # k=2 0.000000 |