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--- | ||
copyright: Copyright (c) Runtime Verification, Inc. All Rights Reserved. | ||
--- | ||
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```k | ||
module TIMER | ||
syntax K ::= "timerStart" "(" ")" [function, hook(TIMER.timerStart)] | ||
syntax K ::= "timerStop" "(" ")" [function, hook(TIMER.timerStop)] | ||
endmodule | ||
``` |
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DEF=imp | ||
EXT=imp | ||
TESTDIR=. | ||
KOMPILE_BACKEND=llvm | ||
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include ../include/ktest.mak |
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// This program tests the Collatz conjecture for all numbers up to m | ||
// and accumulates the total number of steps in s. | ||
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int m, n, q, r, s; | ||
m = 10; | ||
while (!(m<=2)) { | ||
n = m; | ||
m = m + -1; | ||
while (!(n<=1)) { | ||
s = s + 1; | ||
q = n/2; | ||
r = q+q + 1; | ||
if (r<=n) { | ||
n = n+n+n + 1; // n becomes 3*n+1 if odd | ||
} else {n=q;} // or n/2 if even | ||
} | ||
} | ||
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// s should be 66 when m is 10 |
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<generatedTop> | ||
<T> | ||
<k> | ||
.K | ||
</k> | ||
<state> | ||
q |-> 1 s |-> 66 n |-> 1 r |-> 3 m |-> 2 | ||
</state> | ||
</T> | ||
<generatedCounter> | ||
0 | ||
</generatedCounter> | ||
</generatedTop> |
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// Copyright (c) Runtime Verification, Inc. All Rights Reserved. | ||
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requires "timer.md" | ||
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module IMP-SYNTAX | ||
imports BOOL-SYNTAX | ||
imports INT-SYNTAX | ||
imports ID | ||
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syntax AExp ::= Int | Id | ||
| "-" Int [format(%1%2)] | ||
| AExp "/" AExp [left, strict, color(pink)] | ||
| "(" AExp ")" [bracket] | ||
> AExp "+" AExp [left, strict, color(pink)] | ||
syntax BExp ::= Bool | ||
| AExp "<=" AExp [seqstrict, color(pink)] | ||
| "!" BExp [strict, color(pink)] | ||
| "(" BExp ")" [bracket] | ||
> BExp "&&" BExp [left, strict(1), color(pink)] | ||
syntax Block ::= "{" "}" | ||
| "{" Stmt "}" [format(%1%i%n%2%d%n%3)] | ||
syntax Stmt ::= Block | ||
| Id "=" AExp ";" [strict(2), color(pink), format(%1 %2 %3%4)] | ||
| "if" "(" BExp ")" | ||
Block "else" Block [strict(1), colors(yellow, white, white, yellow), format(%1 %2%3%4 %5 %6 %7)] | ||
| "while" "(" BExp ")" Block [colors(yellow,white,white), format(%1 %2%3%4 %5)] | ||
> Stmt Stmt [left, format(%1%n%2)] | ||
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syntax Pgm ::= "int" Ids ";" Stmt [format(%1 %2%3%n%4), colors(yellow,pink)] | ||
syntax Ids ::= List{Id,","} [format(%1%2 %3)] | ||
endmodule | ||
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module IMP | ||
imports IMP-SYNTAX | ||
imports BOOL | ||
imports INT | ||
imports MAP | ||
imports SET | ||
imports TIMER | ||
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syntax KResult ::= Int | Bool | ||
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syntax KItem ::= "timerstart" | ||
syntax KItem ::= "timerstop" | ||
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configuration <T color="yellow"> | ||
<k color="green"> timerstart ~> $PGM:Pgm ~> timerstop </k> | ||
<state color="red"> .Map </state> | ||
</T> | ||
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rule <k> X:Id => I ...</k> <state>... X |-> I ...</state> | ||
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rule I1 / I2 => I1 /Int I2 requires I2 =/=Int 0 | ||
rule I1 + I2 => I1 +Int I2 | ||
rule - I1 => 0 -Int I1 | ||
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rule I1 <= I2 => I1 <=Int I2 | ||
rule ! T => notBool T | ||
rule true && B => B | ||
rule false && _ => false | ||
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rule {} => .K | ||
rule {S} => S | ||
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rule <k> X = I:Int; => .K ...</k> <state>... X |-> (_ => I) ...</state> | ||
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rule S1:Stmt S2:Stmt => S1 ~> S2 | ||
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rule if (true) S else _ => S | ||
rule if (false) _ else S => S | ||
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rule while (B) S => if (B) {S while (B) S} else {} | ||
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rule <k> int (X,Xs => Xs);_ ...</k> <state> Rho:Map (.Map => X|->0) </state> | ||
requires notBool (X in keys(Rho)) | ||
rule int .Ids; S => S | ||
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rule timerstart => timerStart() | ||
rule timerstop => timerStop() | ||
endmodule |
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// This program counts in s all the prime numbers up to m. | ||
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int i, m, n, q, r, s, t, x, y, z; | ||
m = 10; n = 2; | ||
while (n <= m) { | ||
// checking primality of n and writing t to 1 or 0 | ||
i = 2; q = n/i; t = 1; | ||
while (i<=q && 1<=t) { | ||
x = i; | ||
y = q; | ||
// fast multiplication (base 2) algorithm | ||
z = 0; | ||
while (!(x <= 0)) { | ||
q = x/2; | ||
r = q+q + 1; | ||
if (r <= x) { z = z+y; } else {} | ||
x = q; | ||
y = y+y; | ||
} // end fast multiplication | ||
if (n <= z) { t = 0; } else { i = i + 1; q = n/i; } | ||
} // end checking primality | ||
if (1 <= t) { s = s + 1; } else {} | ||
n = n + 1; | ||
} | ||
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// s should be 4 when m = 10. |
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<generatedTop> | ||
<T> | ||
<k> | ||
.K | ||
</k> | ||
<state> | ||
q |-> 0 x |-> 0 s |-> 4 n |-> 11 i |-> 2 z |-> 10 r |-> 1 m |-> 10 y |-> 20 t |-> 0 | ||
</state> | ||
</T> | ||
<generatedCounter> | ||
0 | ||
</generatedCounter> | ||
</generatedTop> |
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// This program calculates in sum | ||
// the sum of numbers from 1 to n. | ||
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int n, sum; | ||
n = 100; | ||
sum = 0; | ||
while (!(n <= 0)) { | ||
sum = sum + n; | ||
n = n + -1; | ||
} | ||
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// sum should be 5050 when n is 100 |
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Original file line number | Diff line number | Diff line change |
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@@ -0,0 +1,13 @@ | ||
<generatedTop> | ||
<T> | ||
<k> | ||
.K | ||
</k> | ||
<state> | ||
n |-> 0 sum |-> 5050 | ||
</state> | ||
</T> | ||
<generatedCounter> | ||
0 | ||
</generatedCounter> | ||
</generatedTop> |