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# Some of the code taken from http://alimanfoo.github.io/2016/06/21/understanding-pbwt.html; | |
X1 = [[0, 1, 0, 1, 0, 1, 2], | |
[1, 1, 0, 0, 0, 1, 3], | |
[1, 1, 1, 1, 1, 1, 4], | |
[0, 1, 1, 1, 1, 0, 5], | |
[0, 0, 0, 0, 0, 0, 6], | |
[1, 0, 0, 0, 1, 0, 7], | |
[1, 1, 0, 0, 0, 1, 8], | |
[0, 1, 0, 1, 1, 0, 9]] | |
X = [[0, 1, 0, 1, 0, 1], | |
[1, 1, 0, 0, 0, 1], | |
[1, 1, 1, 1, 1, 1], | |
[0, 1, 1, 1, 1, 0], | |
[0, 0, 0, 0, 0, 0], | |
[1, 0, 0, 0, 1, 0], | |
[1, 1, 0, 0, 0, 1], | |
[0, 1, 0, 1, 1, 0]] | |
Y = [[0,0,0,1], | |
[1,0,0,1], | |
[1,1,1,1], | |
[0,0,0,0] | |
] | |
y = [1,1,1,1] | |
# y= [0,0,0,0] | |
Z = [[0,1,1], | |
[0,0,1]] | |
import numpy as np | |
def build_ppa(X): | |
X = np.array(X) | |
# N is the length of each haplotype | |
# M is the number of haplotypes | |
N, M = X.transpose().shape[:2] | |
ppa = np.zeros((N,M), dtype = "u4") | |
for i in range(M): | |
ppa[0,i] = i | |
for k in range(N): | |
a = list() | |
b = list() | |
u = v = 0 | |
for index in ppa[k]: | |
if X[index, k] ==0: | |
a.append(index) | |
u+=1 | |
elif X[index, k] == 1: | |
b.append(index) | |
v+=1 | |
else: | |
break | |
# print(a,b) | |
ppa[k+1] = a+b | |
# print(ppa) | |
return ppa | |
def build_ppa_div(X): | |
X = np.array(X) | |
# N is the length of each haplotype | |
# M is the number of haplotypes | |
N, M = X.transpose().shape[:2] | |
ppa = np.zeros((N+1, M), dtype="u4") | |
div = np.zeros((N+1, M+1), dtype="u4") | |
w0 = np.zeros((N, M), dtype="u4") | |
w1 = np.zeros((N, M), dtype="u4") | |
for i in range(M): | |
ppa[0, i] = i | |
for k in range(N): | |
a = list() | |
b = list() | |
d = list() | |
e = list() | |
u = v = 0 | |
p = q = k+1 | |
for index, match_start in zip(ppa[k], div[k]): | |
if match_start > p: | |
p = match_start | |
if match_start > q: | |
q = match_start | |
if X[index, k] == 0: | |
a.append(index) | |
u += 1 | |
d.append(p) | |
p = 0 | |
w0[k,i] = u | |
elif X[index, k] == 1: | |
b.append(index) | |
v += 1 | |
e.append(q) | |
q = 0 | |
w1[k,i] = v | |
else: | |
break | |
# print(a,b) | |
# print (ppa) | |
w1[k] += u -1 | |
if a and b: | |
ppa[k + 1] = a + b | |
div[k + 1] = d + e +[0] | |
# print("ppa",ppa) | |
# print("div", div) | |
return ppa, div ,w0, w1 | |
def report_long_match(X,L): | |
X = np.array(X) | |
N, M = X.transpose().shape[:2] | |
ppa = np.zeros((N+1, M), dtype="u4") | |
div = np.zeros((N+1, M), dtype="u4") | |
for i in range(M): | |
ppa[0, i] = i | |
for k in range(N): | |
a = list() | |
b = list() | |
d = list() | |
e = list() | |
u = v = 0 | |
p = q = k + 1 | |
ma = list() | |
mb = list() | |
for index, match_start in zip(ppa[k], div[k]): | |
if match_start > k - L: | |
if ma and mb: | |
yield k, ma, mb | |
ma = list() | |
mb = list() | |
if match_start > p: | |
p = match_start | |
if match_start > q: | |
q = match_start | |
if X[index, k] == 0: | |
a.append(index) | |
u += 1 | |
d.append(p) | |
p = 0 | |
ma.append(index) | |
elif X[index, k] == 1: | |
b.append(index) | |
v += 1 | |
e.append(q) | |
q = 0 | |
mb.append(index) | |
else: | |
break | |
if ma and mb: | |
yield k, ma, mb | |
if a and b: | |
ppa[k + 1] = a + b | |
div[k + 1] = d + e | |
# print(ppa, div) | |
def report_long_matches(X,L): | |
X = np.array(X) | |
# N is the length of each haplotype | |
# M is the number of haplotypes | |
N, M = X.transpose().shape[:2] | |
ppa = np.zeros((N+1, M), dtype="u4") | |
div = np.zeros((N+1, M), dtype="u4") | |
for i in range(M): | |
ppa[0, i] = i | |
for k in range(N): | |
a = list() | |
b = list() | |
d = list() | |
e = list() | |
u = v = 0 | |
p = q = k + 1 | |
for index, match_start in zip(ppa[k], div[k]): | |
if match_start > p: | |
p = match_start | |
if match_start > q: | |
q = match_start | |
if X[index, k] == 0: | |
a.append(index) | |
u += 1 | |
d.append(p) | |
p = 0 | |
elif X[index, k] == 1: | |
b.append(index) | |
v += 1 | |
e.append(q) | |
q = 0 | |
else: | |
break | |
if a and b: | |
ppa[k + 1] = a + b | |
div[k + 1] = d + e | |
print(ppa) | |
print(div) | |
for k in range(N): | |
a = np.zeros(M, dtype = 'u4') | |
b = np.zeros(M, dtype = 'u4') | |
u = v = 0 | |
# ma = list() | |
# mb = list() | |
for index, match_start in zip(ppa[k], div[k]): | |
if match_start>k-L: | |
if u > 0 and v > 0: | |
for i in range(u): | |
for j in range(v): | |
print("Match from ", a[i], 'to', b[j], 'ending at', k) | |
u = v = 0 | |
if X[index,k] == 0: | |
a[u] = index | |
u+=1 | |
elif X[index, k] == 1: | |
b[v] = index | |
v+=1 | |
else: | |
if u > 0 and v > 0: | |
for i in range(u): | |
for j in range(v): | |
print("Match from ", a[i], 'to', b[j], 'ending at', k) | |
if u > 0 and v > 0: | |
for i in range(u): | |
for j in range(v): | |
print("Match from ", a[i], 'to', b[j], 'ending at', k) | |
def report_set_max_match(X): | |
X = np.array(X) | |
# N is the length of each haplotype | |
# M is the number of haplotypes | |
N, M = X.transpose().shape[:2] | |
ppa, div = build_ppa_div(X) | |
max_match =[] | |
l = 0 | |
print(ppa, div) | |
for k in range(N+1): | |
div[k,0] = k + 1 | |
div[k,M] = k + 1 | |
for i in range(M-1): | |
m = i-1 | |
n = i+1 | |
if div[k, i] <= div[k,i+1]: | |
while div[k,m]<= div[k,i]: | |
if k!=N: | |
if X[ppa[k,m], k] == X[ppa[k,i],k]: | |
break | |
m -= 1 | |
if div[k,i] >= div[k,i+1]: | |
while div[k,n] <= div[k,i+1]: | |
if k != N: | |
if X[ppa[k,n],k] == X[ppa[k,i], k] and k!=N: | |
break | |
n +=1 | |
for j in range(m+1, i): | |
if div[k,i]<k : | |
if k - div[k,i] > l: | |
l = k - div[k,i] | |
max_match = [(ppa[k,i], ppa[k,j], div[k,i], k)] | |
elif k - div[k,i] == l: | |
max_match.append((ppa[k,i], ppa[k,j], div[k,i], k)) | |
print("Match from ", ppa[k,i], 'to', ppa[k,j],"starting at", div[k,i], 'ending at', k) | |
for j in range(i+1, n): | |
if div[k,i+1] <k : | |
if k - div[k,i+1] > l: | |
l = k - div[k,i+1] | |
max_match = [(ppa[k,i], ppa[k,j], div[k,i+1], k)] | |
elif k - div[k,i] == l: | |
max_match.append((ppa[k,i], ppa[k,j], div[k,i+1], k)) | |
print("Match from ", ppa[k, i], 'to', ppa[k, j], "starting at", div[k, i+1], 'ending at', k) | |
for item in max_match: | |
print("Match from ", item[0], 'to',item[1], "starting at", item[2], 'ending at', item[3]) | |
return max_match | |
def report_set_max_match_with_thresh(X, L): | |
X = np.array(X) | |
# N is the length of each haplotype | |
# M is the number of haplotypes | |
N, M = X.transpose().shape[:2] | |
ppa, div = build_ppa_div(X) | |
max_match =[] | |
print(ppa, div) | |
for k in range(N+1): | |
div[k,0] = k + 1 | |
div[k,M] = k + 1 | |
for i in range(M-1): | |
m = i-1 | |
n = i+1 | |
if div[k, i] <= div[k,i+1]: | |
while div[k,m]<= div[k,i]: | |
if k!=N: | |
if X[ppa[k,m], k] == X[ppa[k,i],k]: | |
break | |
m -= 1 | |
if div[k,i] >= div[k,i+1]: | |
while div[k,n] <= div[k,i+1]: | |
if k != N: | |
if X[ppa[k,n],k] == X[ppa[k,i], k] and k!=N: | |
break | |
n +=1 | |
for j in range(m+1, i): | |
if div[k,i]<k: | |
if k - div[k,i] >= L: | |
max_match.append((ppa[k,i], ppa[k,j], div[k,i], k)) | |
print("Match from ", ppa[k,i], 'to', ppa[k,j],"starting at", div[k,i], 'ending at', k) | |
for j in range(i+1, n): | |
if div[k,i+1] <k: | |
if k - div[k,i+1] >= L: | |
max_match.append((ppa[k,i], ppa[k,j], div[k,i+1], k)) | |
print("Match from ", ppa[k, i], 'to', ppa[k, j], "starting at", div[k, i+1], 'ending at', k) | |
return max_match | |
def maximal_matches_with_z(z,X): | |
X = np.array(X) | |
# N is the length of each haplotype | |
# M is the number of haplotypes | |
N, M = X.transpose().shape[:2] | |
ppa, div, w0, w1 = build_ppa_div(X) | |
e = 0 | |
f = 0 | |
g = 1 | |
e1 =0 | |
l=2 | |
for k in range(N): | |
div[k,0] = k+1 | |
div[k,M] = k+1 | |
if k > 0: | |
if z[k] == 0: | |
f1 = w0[k,f] | |
g1 = w0[k,g] | |
else: | |
f1 = w1[k,f] | |
g1 = w1[k,f] | |
if f1 < g1: | |
e1 = e | |
else: | |
for i in range(f, g): | |
print("Match to", ppa[k, i], "from", e, "to", k) | |
e1 = div[k+1, f1] - 1 | |
if z[e1] == 0 and f1 != 0 : | |
f1 = g1 - 1 | |
# print(f1,g1,e1) | |
while e1>0 and z[e1-1] == X[ppa[k+1,f1], e1-1] : | |
e1 -=1 | |
while div[k+1, f1] <= e1 : | |
f1 -= 1 | |
# print(f1,g1,e1) | |
else: | |
g1 = f1 + 1 | |
# print(f1,g1,e1) | |
while e1>0 and z[e1 - 1] == X[ppa[k+1,f1], e1-1]: | |
e1 -= 1 | |
while g1 < M and div[k+1, g1] <= e1 : | |
g1 += 1 | |
# print(f1,g1,e1) | |
f = f1 | |
g = g1 | |
e = e1 | |
print(f,g,e) | |
return f,g,e | |
if __name__ == '__main__': | |
build_ppa_div(Y) | |
# build_ppa(Y) | |
# for match in report_long_match(Y, 2): | |
# print(match) | |
# report_long_matches(Y, 2) | |
# report_set_max_match(Y) | |
# report_set_max_match_with_thresh(X,3) | |
maximal_matches_with_z(y,Y) |
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