From 496a8b0adf28df719a79db41271da7287c1acced Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Sun, 1 Sep 2013 12:57:42 +0200 Subject: [PATCH] fixed another bug --- .../Calculate-Legendre/Calculate-Legendre.png | Bin 53672 -> 54782 bytes .../Calculate-Legendre/Calculate-Legendre.tex | 4 ++-- .../Calculate-Legendre/calculateLegendre.py | 16 ++++++++++++++-- 3 files changed, 16 insertions(+), 4 deletions(-) diff --git a/source-code/Pseudocode/Calculate-Legendre/Calculate-Legendre.png b/source-code/Pseudocode/Calculate-Legendre/Calculate-Legendre.png index 58bb0c24317dc51d6196cbd6a5c14b17b0c9c72e..48f1bba36bf1a7fb0672195d7c42a75c0811427e 100644 GIT binary patch delta 36425 zcmaI8cUV(hw>=sNO=(IOq$r_DC-ja=2}P0KL6ji9_p%dEQIQs<1f-||M5Jgap+^vT zkx&dsF98HZ=^%uD!+XASo?FiE{Iowt?>+8>ykrtU zylG`l^D%*z)6sV{W?hLlMcP3At6Tin>3b=h_o_aAeJoDZ*vo>Q=NC z9De%6dZtg-(ib$Km6r}AEXP`cA9nJ*XpcA^ZK)<1@xo@g~^?_1F zwVHXf_P#7cCb9Lirf-7+EsFih>*<_{M3hbD&?i%En8OWXBP#3LjEQ&|78CZ;e`AZ 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z8klnF*Zi#bg@05RGhZ_^YwTM@?3${;bZfc)A%*?C?9MH|o%xb^^-OS9a1{~1M%*<-w7gn7vFD{1U-~a#s07*qo IM6N<$f_pE-{Qv*} diff --git a/source-code/Pseudocode/Calculate-Legendre/Calculate-Legendre.tex b/source-code/Pseudocode/Calculate-Legendre/Calculate-Legendre.tex index 0a30208..24c8e4a 100644 --- a/source-code/Pseudocode/Calculate-Legendre/Calculate-Legendre.tex +++ b/source-code/Pseudocode/Calculate-Legendre/Calculate-Legendre.tex @@ -20,7 +20,7 @@ \ElsIf{$a == 0$ or $a == 1$} \State \Return $a$ \Comment{now: $a \in [2, \dots, p-1]$} \ElsIf{$a == 2$} \Comment{rule (VII)} - \If{$a \equiv \pm 1 \mod 8$} + \If{$p \equiv \pm 1 \mod 8$} \State \Return 1 \Else \State \Return -1 @@ -35,7 +35,7 @@ \State $p_1, p_2, \dots, p_n \gets \Call{Factorize}{a}$ \State \Return $\prod_{i=1}^n \Call{CalculateLegendre}{p_i, p}$ \Else \Comment{now: $a \in \mathbb{P}, \sqrt{p-2} \geq a \geq 3$} - \If{$\frac{p-1}{2} \equiv 0 \mod 2$} + \If{$\frac{p-1}{2} \equiv 0 \mod 2$ or $\frac{a-1}{2} \equiv 0 \mod 2$} \State \Return $\Call{CalculateLegendre}{p, a}$ \Else \State \Return $(-1) \cdot \Call{CalculateLegendre}{p, a}$ diff --git a/source-code/Pseudocode/Calculate-Legendre/calculateLegendre.py b/source-code/Pseudocode/Calculate-Legendre/calculateLegendre.py index 8082880..ea9c340 100644 --- a/source-code/Pseudocode/Calculate-Legendre/calculateLegendre.py +++ b/source-code/Pseudocode/Calculate-Legendre/calculateLegendre.py @@ -31,13 +31,25 @@ def calculateLegendre(a, p): -1 >>> calculateLegendre(113, 41) # Beispiel aus dem Skript, S. 114 1 + >>> calculateLegendre(2, 31) + 1 + >>> calculateLegendre(5, 31) + 1 + >>> calculateLegendre(150, 1009) # http://math.stackexchange.com/q/221223/6876 + 1 + >>> calculateLegendre(25, 1009) # http://math.stackexchange.com/q/221223/6876 + 1 + >>> calculateLegendre(2, 1009) # http://math.stackexchange.com/q/221223/6876 + 1 + >>> calculateLegendre(3, 1009) # http://math.stackexchange.com/q/221223/6876 + 1 """ if a >= p or a < 0: return calculateLegendre(a % p, p) elif a == 0 or a == 1: return a elif a == 2: - if a%8 == 1 or a%8 == 7: + if p%8 == 1 or p%8 == 7: return 1 else: return -1 @@ -53,7 +65,7 @@ def calculateLegendre(a, p): product *= calculateLegendre(pi, p) return product else: - if ((p-1)/2)%2==0: + if ((p-1)/2)%2==0 or ((a-1)/2)%2==0: return calculateLegendre(p, a) else: return (-1)*calculateLegendre(p, a)