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Remove unnecessary spaces inbetween or next to tabs
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12
help/jacobi
12
help/jacobi
@@ -75,7 +75,7 @@ DESCRIPTION
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jacobi(x,y) == 0 if x <= 0
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jacobi(x,y) == 0 if y <= 0
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jacobi(x,y) == 0 if y is even
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jacobi(x,y) == 0 if y is even
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jacobi(x,b) == 0 if gcd(x,b) > 1
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@@ -105,7 +105,7 @@ DESCRIPTION
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It is also worth noting that:
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jacobi(x,y) == 0 if gcd(y,x) != 1
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jacobi(x,y) == 0 if gcd(y,x) != 1
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jacobi(y,y) == 0 if y > 1
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Based on the generalization of the quadratic reciprocity theorem,
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@@ -125,8 +125,8 @@ DESCRIPTION
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When b is odd:
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jacobi(x^2,b) == 1 if gcd(x,b) == 1
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jacobi(x,b^2) == 1 if gcd(x,b) == 1
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jacobi(x^2,b) == 1 if gcd(x,b) == 1
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jacobi(x,b^2) == 1 if gcd(x,b) == 1
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jacobi(x0,b) == jacobi(x1,b) if x0 == x1 % b
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@@ -162,7 +162,7 @@ DESCRIPTION
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j = 1;
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while (x != 0) {
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while (iseven(x)) {
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x = x / 2;
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x = x / 2;
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t = b % 8;
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if (t == 3 || t == 5) {
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j = -j;
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@@ -170,7 +170,7 @@ DESCRIPTION
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}
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swap(x,b);
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if (((x % 4) == 3) && ((b % 4) == 3)) {
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j = -j;
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j = -j;
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}
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x = x % b;
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}
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