Initial data commit

Task/Fibonacci-sequence/Picat/fibonacci-sequence-1.picat

@@ -0,0 +1,10 @@
+go =>
+  println([fib_fun(I) : I in 1..10]),
+  F1=fib_fun(2**10),
+  println(f1=F1),
+  nl.
+
+table
+fib_fun(0) = 0.
+fib_fun(1) = 1.
+fib_fun(N) = fib_fun(N-1) + fib_fun(N-2).

Task/Fibonacci-sequence/Picat/fibonacci-sequence-2.picat

@@ -0,0 +1,10 @@
+fib_array(0,[0]).
+fib_array(1,[0,1]).
+fib_array(N,A) :-
+   N > 1,
+   A = new_array(N),
+   A[1] = 1,
+   A[2] = 1,
+   foreach(I in 3..N)
+     A[I] = A[I-1] + A[I-2]
+   end.

Task/Fibonacci-sequence/Picat/fibonacci-sequence-3.picat

@@ -0,0 +1,8 @@
+fib_loop(N) = Curr =>
+  Curr = 0,
+  Prev = 1,
+  foreach(_I in 1..N)
+    Tmp = Curr,
+    Curr := Curr + Prev,
+    Prev := Tmp
+  end.

Task/Fibonacci-sequence/Picat/fibonacci-sequence-4.picat

@@ -0,0 +1 @@
+fib_formula(N) = round((0.5 + 0.5*sqrt(5))**N / sqrt(5)).

Task/Fibonacci-sequence/Picat/fibonacci-sequence-5.picat

@@ -0,0 +1,9 @@
+go =>fib_lazy(X),
+  A = new_list(15),
+  append(A,_,X),
+  println(A),
+
+fib_lazy([0,1|X]) :-
+    ffib(0,1,X).
+ffib(A,B,X) :-
+    freeze(X, (C is A+B, X=[C|Y], ffib(B,C,Y)) ).

Task/Fibonacci-sequence/Picat/fibonacci-sequence-6.picat

@@ -0,0 +1,10 @@
+go =>
+  take(15, $fib_gen(0,1), $T-[], _G),
+  println(T).
+
+take( 0, Next, Z-Z, Next).
+take( N, Next, [A|B]-Z, NZ):- N>0, !, next( Next, A, Next1),
+  N1 is N-1,
+  take( N1, Next1, $B-Z, NZ).
+
+next( fib_gen(A,B), A, fib_gen(B,C)):- C is A+B.

Task/Fibonacci-sequence/Picat/fibonacci-sequence-7.picat

@@ -0,0 +1,27 @@
+import cp.
+
+go =>
+  N1 = 30,
+  fib_rev(30,F1),
+  println([n1=N1,fib1=F1]),
+
+  F2 #= 20365011074,
+  fib_rev(N2,F2),
+  println([n2=N2,f2=F2]),
+
+  F3 = 61305790721611591,
+  fib_rev(N3,F3),
+  println([n3=N3,F3]),
+  nl.
+
+table
+fib_rev(0,1).
+fib_rev(1,1).
+fib_rev(N,F) :-
+  N #> 0,
+  F #> 0,
+  N1 #= N-1,
+  N2 #= N-2,
+  fib_rev(N1,F1),
+  fib_rev(N2,F2),
+  F #= F1+F2.