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<?php namespace igorw\reasoned { // microKanren implementation class Variable { public $name; function __construct($name) { $this->name = $name; } function is_equal(Variable $var) { return $this->name === $var->name; } } function variable($name) { return new Variable($name); } function is_variable($x) { return $x instanceof Variable; } class Substitution { public $values; function __construct(array $values = []) { $this->values = $values; } function walk($u) { if (is_variable($u) && null !== $value = $this->find($u)) { return $this->walk($value); } return $u; } function find(Variable $var) { foreach ($this->values as list($x, $value)) { if ($var->is_equal($x)) { return $value; } } return null; } function extend(Variable $x, $value) { return new Substitution(array_merge( [[$x, $value]], $this->values )); } function length() { return count($this->values); } function reify($v) { $v = $this->walk($v); if (is_variable($v)) { $n = reify_name($this->length()); return $this->extend($v, $n); } if (is_unifiable_array($v)) { return $this->reify(first($v)) ->reify(rest($v)); } return $this; } } class State { public $subst; public $count; function __construct(Substitution $subst = null, $count = 0) { $this->subst = $subst ?: new Substitution(); $this->count = $count; } function next() { return new State($this->subst, $this->count + 1); } function reify() { $v = walk_star(variable(0), $this->subst); return walk_star($v, (new Substitution())->reify($v)); } } function eq($u, $v) { return function (State $state) use ($u, $v) { $subst = unify($u, $v, $state->subst); if ($subst) { return unit(new State($subst, $state->count)); } return mzero(); }; } function unit(State $state) { return new PairStream($state, mzero()); } function mzero() { return new EmptyStream(); } function is_unifiable_array($value) { return is_pair($value) || is_array($value) && count($value) > 0; } class Pair { public $first; public $rest; function __construct($first, $rest) { $this->first = $first; $this->rest = $rest; } } function pair($first, $rest) { return new Pair($first, $rest); } function is_pair($x) { return $x instanceof Pair; } function unify($u, $v, Substitution $subst) { $u = $subst->walk($u); $v = $subst->walk($v); if (is_variable($u) && is_variable($v) && $u->is_equal($v)) { return $subst; } if (is_variable($u)) { return $subst->extend($u, $v); } if (is_variable($v)) { return $subst->extend($v, $u); } if (is_unifiable_array($u) && is_unifiable_array($v)) { $subst = unify(first($u), first($v), $subst); return $subst ? unify(rest($u), rest($v), $subst) : null; } if ($u === $v) { return $subst; } return null; } // $f takes a fresh variable and returns a goal function call_fresh(callable $f) { return function (State $state) use ($f) { $goal = $f(variable($state->count)); return $goal($state->next()); }; } // same as call_fresh, but without fresh var function delay(callable $f) { return function (State $state) use ($f) { $goal = $f(); return $goal($state->next()); }; } function disj(callable $goal1, callable $goal2) { return function (State $state) use ($goal1, $goal2) { return $goal1($state)->mplus($goal2($state)); }; } function conj(callable $goal1, callable $goal2) { return function (State $state) use ($goal1, $goal2) { return $goal1($state)->bind($goal2); }; } function cons($value, array $list) { array_unshift($list, $value); return $list; } function first($list) { if (is_pair($list)) { return $list->first; } return array_shift($list); } function rest($list) { if (is_pair($list)) { return $list->rest; } array_shift($list); return $list; } interface Stream extends \IteratorAggregate { function mplus(Stream $stream2); function bind(callable $goal); } class EmptyStream implements Stream { function mplus(Stream $stream2) { return $stream2; } function bind(callable $goal) { return mzero(); } function getIterator() { return new \EmptyIterator(); } } class CallableStream implements Stream { public $f; function __construct(callable $f) { $this->f = $f; } function mplus(Stream $stream2) { return new CallableStream(function () use ($stream2) { return $stream2->mplus($this->resolve()); }); } function bind(callable $goal) { return new CallableStream(function () use ($goal) { return $this->resolve()->bind($goal); }); } function getIterator() { return $this->resolve()->getIterator(); } function resolve() { return call_user_func($this->f); } } class PairStream implements Stream { public $first; public $rest; function __construct($first, Stream $rest) { $this->first = $first; $this->rest = $rest; } function mplus(Stream $stream2) { return new PairStream($this->first, $this->rest->mplus($stream2)); } function bind(callable $goal) { return $goal($this->first)->mplus($this->rest->bind($goal)); } function getIterator() { yield $this->first; foreach ($this->rest as $x) { yield $x; } } } // recovering miniKanren's control operators function zzz(callable $goal) { return function (State $state) use ($goal) { return new CallableStream(function () use ($goal, $state) { return $goal($state); }); }; } function conj_plus(array $goals) { if (count($goals) === 0) { throw new \InvalidArgumentException('Must supply at least one goal'); } if (count($goals) === 1) { return zzz(first($goals)); } return conj(zzz(first($goals)), conj_plus(rest($goals))); } function disj_plus(array $goals) { if (count($goals) === 0) { throw new \InvalidArgumentException('Must supply at least one goal'); } if (count($goals) === 1) { return zzz(first($goals)); } return disj(zzz(first($goals)), disj_plus(rest($goals))); } function conde(array $lines) { return disj_plus(array_map('igorw\reasoned\conj_plus', $lines)); } // based heavily on mudge/php-microkanren function fresh(callable $f) { $argCount = (new \ReflectionFunction($f))->getNumberOfParameters(); if ($argCount === 0) { return delay($f); } return call_fresh(function ($x) use ($f, $argCount) { return collect_args($f, $argCount, [$x]); }); } function collect_args(callable $f, $argCount, $args) { if (count($args) === $argCount) { return call_user_func_array($f, $args); } return call_fresh(function ($x) use ($f, $argCount, $args) { return collect_args($f, $argCount, array_merge($args, [$x])); }); } // from streams to lists // @todo use iter? function take($n, $stream) { foreach ($stream as $x) { if ($n-- === 0) { break; } yield $x; } } function map(callable $f, $stream) { foreach ($stream as $x) { yield $f($x); } } function to_array($stream) { $array = []; foreach ($stream as $x) { $array[] = $x; } return $array; } // recovering reification function reify($states) { return map(function (State $state) { return $state->reify(); }, $states); } function reify_name($n) { return "_.$n"; } function walk_star($v, Substitution $subst) { $v = $subst->walk($v); if (is_variable($v)) { return $v; } if (is_pair($v)) { $first = walk_star(first($v), $subst); $rest = walk_star(rest($v), $subst); if (is_array($rest)) { return cons($first, $rest); } return [$first, '.', $rest]; } if (is_unifiable_array($v)) { return cons(walk_star(first($v), $subst), walk_star(rest($v), $subst)); } return $v; } // recovering the scheme interface function call_goal(callable $goal) { return $goal(new State()); } function run($n, callable $goal) { return to_array(take($n, reify(call_goal(fresh($goal))))); } function run_star(callable $goal) { return to_array(reify(call_goal(fresh($goal)))); } function all(array $goals) { return conj_plus($goals); } // unicode madness function ≡($u, $v) { return eq($u, $v); } function ⋀(array $goals) { return conj_plus($goals); } function ⋁(array $goals) { return disj_plus($goals); } function run٭(callable $goal) { return run_star($goal); } function condᵉ(array $lines) { return conde($lines); } // user level plumbing function conso($a, $d, $l) { return eq(pair($a, $d), $l); } function firsto($l, $a) { return fresh(function ($d) use ($l, $a) { return conso($a, $d, $l); }); } function resto($l, $d) { return fresh(function ($a) use ($l, $d) { return conso($a, $d, $l); }); } function appendo($l, $s, $out) { return conde([ [eq($l, []), eq($s, $out)], [fresh(function ($a, $d, $res) use ($l, $s, $out) { return all([ conso($a, $d, $l), conso($a, $res, $out), appendo($d, $s, $res), ]); })], ]); } // user level unicode madness function consᵒ($a, $d, $l) { return conso($a, $d, $l); } function firstᵒ($l, $a) { return firsto($l, $a); } function restᵒ($l, $d) { return resto($l, $d); } function appendᵒ($l, $s, $out) { return appendo($l, $s, $out); } // debugging goals (inspired by core.logic) function log($msg) { return function (State $state) use ($msg) { echo "$msg\n"; return unit($state); }; } function trace_subst() { return function (State $state) { var_dump($state->subst); return unit($state); }; } function trace_lvars(array $vars) { return function (State $state) use ($vars) { foreach ($vars as $var) { $v = walk_star($var, $state->subst); $reified = walk_star($v, (new Substitution())->reify($v)); if (is_variable($var) && is_string($reified)) { echo "variable({$var->name}) = $reified\n"; } else if (is_variable($var)) { echo "variable({$var->name}) =\n"; var_dump($reified); } else { var_dump($reified); } } return unit($state); }; } } namespace { use igor\reasoned as i; i\run(function ($q) { return i\eq($q, 'Hello'); }); }
Output for 8.1.0 - 8.1.27, 8.2.0 - 8.2.17, 8.3.0 - 8.3.4
Deprecated: Return type of igorw\reasoned\EmptyStream::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /in/kDIqm on line 205 Deprecated: Return type of igorw\reasoned\CallableStream::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /in/kDIqm on line 225 Deprecated: Return type of igorw\reasoned\PairStream::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /in/kDIqm on line 246 Fatal error: Uncaught Error: Call to undefined function igor\reasoned\run() in /in/kDIqm:492 Stack trace: #0 {main} thrown in /in/kDIqm on line 492
Process exited with code 255.
Output for 7.0.0 - 7.0.33, 7.1.0 - 7.1.33, 7.2.0 - 7.2.33, 7.3.0 - 7.3.33, 7.4.0 - 7.4.33, 8.0.0 - 8.0.30
Fatal error: Uncaught Error: Call to undefined function igor\reasoned\run() in /in/kDIqm:492 Stack trace: #0 {main} thrown in /in/kDIqm on line 492
Process exited with code 255.
Output for 5.5.0 - 5.5.38, 5.6.0 - 5.6.40
Fatal error: Call to undefined function igor\reasoned\run() in /in/kDIqm on line 492
Process exited with code 255.
Output for 5.4.0 - 5.4.45
Parse error: syntax error, unexpected 'list' (T_LIST) in /in/kDIqm on line 37
Process exited with code 255.
Output for 5.3.0 - 5.3.29
Parse error: syntax error, unexpected '[' in /in/kDIqm on line 27
Process exited with code 255.

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