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Maintain the same structure and functionality when rewriting this code in VB.
(define (powerset s) (for/fold ([outer-set (set(set))]) ([element s]) (set-union outer-set (list->set (set-map outer-set (Ξ»(inner-set) (set-add inner-set element)))))))
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Write a version of this Racket function in Go with identical behavior.
(define (powerset s) (for/fold ([outer-set (set(set))]) ([element s]) (set-union outer-set (list->set (set-map outer-set (Ξ»(inner-set) (set-add inner-set element)))))))
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Please provide an equivalent version of this REXX code in C.
parse arg S if S='' then S= 'one two three four' @= '{}' N= words(S); do chunk=1 for N @=@ combN(N, chunk) end w= length(2**N) do k=1 for words(@) say right(k, w) word(@, k) end exit 0 combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y !.= 0 do p=1 for y; !.p= p end $= do j=1; L= do d=1 for y; L= L','word(S, !.d) end $= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1 if !.y==base then if .combU(y - 1) then leave end return strip($) .combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1 p= !.d do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1) p= !.u end return 0
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Write the same code in C# as shown below in REXX.
parse arg S if S='' then S= 'one two three four' @= '{}' N= words(S); do chunk=1 for N @=@ combN(N, chunk) end w= length(2**N) do k=1 for words(@) say right(k, w) word(@, k) end exit 0 combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y !.= 0 do p=1 for y; !.p= p end $= do j=1; L= do d=1 for y; L= L','word(S, !.d) end $= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1 if !.y==base then if .combU(y - 1) then leave end return strip($) .combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1 p= !.d do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1) p= !.u end return 0
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Write the same algorithm in C++ as shown in this REXX implementation.
parse arg S if S='' then S= 'one two three four' @= '{}' N= words(S); do chunk=1 for N @=@ combN(N, chunk) end w= length(2**N) do k=1 for words(@) say right(k, w) word(@, k) end exit 0 combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y !.= 0 do p=1 for y; !.p= p end $= do j=1; L= do d=1 for y; L= L','word(S, !.d) end $= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1 if !.y==base then if .combU(y - 1) then leave end return strip($) .combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1 p= !.d do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1) p= !.u end return 0
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Produce a functionally identical Java code for the snippet given in REXX.
parse arg S if S='' then S= 'one two three four' @= '{}' N= words(S); do chunk=1 for N @=@ combN(N, chunk) end w= length(2**N) do k=1 for words(@) say right(k, w) word(@, k) end exit 0 combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y !.= 0 do p=1 for y; !.p= p end $= do j=1; L= do d=1 for y; L= L','word(S, !.d) end $= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1 if !.y==base then if .combU(y - 1) then leave end return strip($) .combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1 p= !.d do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1) p= !.u end return 0
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Write the same code in Python as shown below in REXX.
parse arg S if S='' then S= 'one two three four' @= '{}' N= words(S); do chunk=1 for N @=@ combN(N, chunk) end w= length(2**N) do k=1 for words(@) say right(k, w) word(@, k) end exit 0 combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y !.= 0 do p=1 for y; !.p= p end $= do j=1; L= do d=1 for y; L= L','word(S, !.d) end $= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1 if !.y==base then if .combU(y - 1) then leave end return strip($) .combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1 p= !.d do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1) p= !.u end return 0
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Transform the following REXX implementation into VB, maintaining the same output and logic.
parse arg S if S='' then S= 'one two three four' @= '{}' N= words(S); do chunk=1 for N @=@ combN(N, chunk) end w= length(2**N) do k=1 for words(@) say right(k, w) word(@, k) end exit 0 combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y !.= 0 do p=1 for y; !.p= p end $= do j=1; L= do d=1 for y; L= L','word(S, !.d) end $= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1 if !.y==base then if .combU(y - 1) then leave end return strip($) .combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1 p= !.d do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1) p= !.u end return 0
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Change the programming language of this snippet from REXX to Go without modifying what it does.
parse arg S if S='' then S= 'one two three four' @= '{}' N= words(S); do chunk=1 for N @=@ combN(N, chunk) end w= length(2**N) do k=1 for words(@) say right(k, w) word(@, k) end exit 0 combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y !.= 0 do p=1 for y; !.p= p end $= do j=1; L= do d=1 for y; L= L','word(S, !.d) end $= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1 if !.y==base then if .combU(y - 1) then leave end return strip($) .combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1 p= !.d do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1) p= !.u end return 0
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Keep all operations the same but rewrite the snippet in C.
class Array def power_set inject([[]]) do |acc, you| ret = [] acc.each do |i| ret << i ret << i + [you] end ret end end def func_power_set inject([[]]) { |ps,item| ps + ps.map { |e| e + [item] } } end end require 'set' class Set def powerset inject(Set[Set[]]) do |ps, item| ps.union ps.map {|e| e.union (Set.new [item])} end end end p [1,2,3,4].power_set p %w(one two three).func_power_set p Set[1,2,3].powerset
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Change the following Ruby code into C# without altering its purpose.
class Array def power_set inject([[]]) do |acc, you| ret = [] acc.each do |i| ret << i ret << i + [you] end ret end end def func_power_set inject([[]]) { |ps,item| ps + ps.map { |e| e + [item] } } end end require 'set' class Set def powerset inject(Set[Set[]]) do |ps, item| ps.union ps.map {|e| e.union (Set.new [item])} end end end p [1,2,3,4].power_set p %w(one two three).func_power_set p Set[1,2,3].powerset
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Transform the following Ruby implementation into C++, maintaining the same output and logic.
class Array def power_set inject([[]]) do |acc, you| ret = [] acc.each do |i| ret << i ret << i + [you] end ret end end def func_power_set inject([[]]) { |ps,item| ps + ps.map { |e| e + [item] } } end end require 'set' class Set def powerset inject(Set[Set[]]) do |ps, item| ps.union ps.map {|e| e.union (Set.new [item])} end end end p [1,2,3,4].power_set p %w(one two three).func_power_set p Set[1,2,3].powerset
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Write a version of this Ruby function in Java with identical behavior.
class Array def power_set inject([[]]) do |acc, you| ret = [] acc.each do |i| ret << i ret << i + [you] end ret end end def func_power_set inject([[]]) { |ps,item| ps + ps.map { |e| e + [item] } } end end require 'set' class Set def powerset inject(Set[Set[]]) do |ps, item| ps.union ps.map {|e| e.union (Set.new [item])} end end end p [1,2,3,4].power_set p %w(one two three).func_power_set p Set[1,2,3].powerset
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Convert the following code from Ruby to Python, ensuring the logic remains intact.
class Array def power_set inject([[]]) do |acc, you| ret = [] acc.each do |i| ret << i ret << i + [you] end ret end end def func_power_set inject([[]]) { |ps,item| ps + ps.map { |e| e + [item] } } end end require 'set' class Set def powerset inject(Set[Set[]]) do |ps, item| ps.union ps.map {|e| e.union (Set.new [item])} end end end p [1,2,3,4].power_set p %w(one two three).func_power_set p Set[1,2,3].powerset
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Write the same algorithm in VB as shown in this Ruby implementation.
class Array def power_set inject([[]]) do |acc, you| ret = [] acc.each do |i| ret << i ret << i + [you] end ret end end def func_power_set inject([[]]) { |ps,item| ps + ps.map { |e| e + [item] } } end end require 'set' class Set def powerset inject(Set[Set[]]) do |ps, item| ps.union ps.map {|e| e.union (Set.new [item])} end end end p [1,2,3,4].power_set p %w(one two three).func_power_set p Set[1,2,3].powerset
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Change the programming language of this snippet from Scala to C without modifying what it does.
fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map { setOf(head) + it } } } fun <T> Set<T>.subsets(): Sequence<Set<T>> = sequence { when (size) { 0 -> yield(emptySet<T>()) else -> { val head = first() val tail = this@subsets - head yieldAll(tail.subsets()) for (subset in tail.subsets()) { yield(setOf(head) + subset) } } } }
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Maintain the same structure and functionality when rewriting this code in C#.
fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map { setOf(head) + it } } } fun <T> Set<T>.subsets(): Sequence<Set<T>> = sequence { when (size) { 0 -> yield(emptySet<T>()) else -> { val head = first() val tail = this@subsets - head yieldAll(tail.subsets()) for (subset in tail.subsets()) { yield(setOf(head) + subset) } } } }
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Preserve the algorithm and functionality while converting the code from Scala to C++.
fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map { setOf(head) + it } } } fun <T> Set<T>.subsets(): Sequence<Set<T>> = sequence { when (size) { 0 -> yield(emptySet<T>()) else -> { val head = first() val tail = this@subsets - head yieldAll(tail.subsets()) for (subset in tail.subsets()) { yield(setOf(head) + subset) } } } }
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Keep all operations the same but rewrite the snippet in Java.
fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map { setOf(head) + it } } } fun <T> Set<T>.subsets(): Sequence<Set<T>> = sequence { when (size) { 0 -> yield(emptySet<T>()) else -> { val head = first() val tail = this@subsets - head yieldAll(tail.subsets()) for (subset in tail.subsets()) { yield(setOf(head) + subset) } } } }
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Convert this Scala snippet to Python and keep its semantics consistent.
fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map { setOf(head) + it } } } fun <T> Set<T>.subsets(): Sequence<Set<T>> = sequence { when (size) { 0 -> yield(emptySet<T>()) else -> { val head = first() val tail = this@subsets - head yieldAll(tail.subsets()) for (subset in tail.subsets()) { yield(setOf(head) + subset) } } } }
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Rewrite the snippet below in VB so it works the same as the original Scala code.
fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map { setOf(head) + it } } } fun <T> Set<T>.subsets(): Sequence<Set<T>> = sequence { when (size) { 0 -> yield(emptySet<T>()) else -> { val head = first() val tail = this@subsets - head yieldAll(tail.subsets()) for (subset in tail.subsets()) { yield(setOf(head) + subset) } } } }
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Rewrite this program in Go while keeping its functionality equivalent to the Scala version.
fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map { setOf(head) + it } } } fun <T> Set<T>.subsets(): Sequence<Set<T>> = sequence { when (size) { 0 -> yield(emptySet<T>()) else -> { val head = first() val tail = this@subsets - head yieldAll(tail.subsets()) for (subset in tail.subsets()) { yield(setOf(head) + subset) } } } }
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Rewrite this program in C while keeping its functionality equivalent to the Swift version.
func powersetFrom<T>(_ elements: Set<T>) -> Set<Set<T>> { guard elements.count > 0 else { return [[]] } var powerset: Set<Set<T>> = [[]] for element in elements { for subset in powerset { powerset.insert(subset.union([element])) } } return powerset } powersetFrom([1, 2, 4])
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Generate an equivalent C# version of this Swift code.
func powersetFrom<T>(_ elements: Set<T>) -> Set<Set<T>> { guard elements.count > 0 else { return [[]] } var powerset: Set<Set<T>> = [[]] for element in elements { for subset in powerset { powerset.insert(subset.union([element])) } } return powerset } powersetFrom([1, 2, 4])
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Ensure the translated C++ code behaves exactly like the original Swift snippet.
func powersetFrom<T>(_ elements: Set<T>) -> Set<Set<T>> { guard elements.count > 0 else { return [[]] } var powerset: Set<Set<T>> = [[]] for element in elements { for subset in powerset { powerset.insert(subset.union([element])) } } return powerset } powersetFrom([1, 2, 4])
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Port the following code from Swift to Java with equivalent syntax and logic.
func powersetFrom<T>(_ elements: Set<T>) -> Set<Set<T>> { guard elements.count > 0 else { return [[]] } var powerset: Set<Set<T>> = [[]] for element in elements { for subset in powerset { powerset.insert(subset.union([element])) } } return powerset } powersetFrom([1, 2, 4])
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Rewrite the snippet below in Python so it works the same as the original Swift code.
func powersetFrom<T>(_ elements: Set<T>) -> Set<Set<T>> { guard elements.count > 0 else { return [[]] } var powerset: Set<Set<T>> = [[]] for element in elements { for subset in powerset { powerset.insert(subset.union([element])) } } return powerset } powersetFrom([1, 2, 4])
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Write the same algorithm in VB as shown in this Swift implementation.
func powersetFrom<T>(_ elements: Set<T>) -> Set<Set<T>> { guard elements.count > 0 else { return [[]] } var powerset: Set<Set<T>> = [[]] for element in elements { for subset in powerset { powerset.insert(subset.union([element])) } } return powerset } powersetFrom([1, 2, 4])
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Translate the given Swift code snippet into Go without altering its behavior.
func powersetFrom<T>(_ elements: Set<T>) -> Set<Set<T>> { guard elements.count > 0 else { return [[]] } var powerset: Set<Set<T>> = [[]] for element in elements { for subset in powerset { powerset.insert(subset.union([element])) } } return powerset } powersetFrom([1, 2, 4])
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Change the programming language of this snippet from Tcl to C without modifying what it does.
proc subsets {l} { set res [list [list]] foreach e $l { foreach subset $res {lappend res [lappend subset $e]} } return $res } puts [subsets {a b c d}]
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Port the provided Tcl code into C# while preserving the original functionality.
proc subsets {l} { set res [list [list]] foreach e $l { foreach subset $res {lappend res [lappend subset $e]} } return $res } puts [subsets {a b c d}]
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Please provide an equivalent version of this Tcl code in C++.
proc subsets {l} { set res [list [list]] foreach e $l { foreach subset $res {lappend res [lappend subset $e]} } return $res } puts [subsets {a b c d}]
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Port the provided Tcl code into Java while preserving the original functionality.
proc subsets {l} { set res [list [list]] foreach e $l { foreach subset $res {lappend res [lappend subset $e]} } return $res } puts [subsets {a b c d}]
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Preserve the algorithm and functionality while converting the code from Tcl to Python.
proc subsets {l} { set res [list [list]] foreach e $l { foreach subset $res {lappend res [lappend subset $e]} } return $res } puts [subsets {a b c d}]
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Port the following code from Tcl to VB with equivalent syntax and logic.
proc subsets {l} { set res [list [list]] foreach e $l { foreach subset $res {lappend res [lappend subset $e]} } return $res } puts [subsets {a b c d}]
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Change the programming language of this snippet from Tcl to Go without modifying what it does.
proc subsets {l} { set res [list [list]] foreach e $l { foreach subset $res {lappend res [lappend subset $e]} } return $res } puts [subsets {a b c d}]
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Keep all operations the same but rewrite the snippet in PHP.
use std::collections::BTreeSet; fn powerset<T: Ord + Clone>(mut set: BTreeSet<T>) -> BTreeSet<BTreeSet<T>> { if set.is_empty() { let mut powerset = BTreeSet::new(); powerset.insert(set); return powerset; } let entry = set.iter().nth(0).unwrap().clone(); set.remove(&entry); let mut powerset = powerset(set); for mut set in powerset.clone().into_iter() { set.insert(entry.clone()); powerset.insert(set); } powerset } fn main() { let set = (1..5).collect(); let set = powerset(set); println!("{:?}", set); let set = ["a", "b", "c", "d"].iter().collect(); let set = powerset(set); println!("{:?}", set); }
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Write a version of this Ada function in PHP with identical behavior.
with Ada.Text_IO, Ada.Command_Line; use Ada.Text_IO, Ada.Command_Line; procedure powerset is begin for set in 0..2**Argument_Count-1 loop Put ("{"); declare k : natural := set; first : boolean := true; begin for i in 1..Argument_Count loop if k mod 2 = 1 then Put ((if first then "" else ",") & Argument (i)); first := false; end if; k := k / 2; end loop; end; Put_Line("}"); end loop; end powerset;
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Translate the given Arturo code snippet into PHP without altering its behavior.
print powerset [1 2 3 4]
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Rewrite this program in PHP while keeping its functionality equivalent to the AutoHotKey version.
a = 1,a,-- Β  StringSplit a, a, `, Β  t = { Loop % (1<<a0) { Β  x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" Β  } MsgBox % RegExReplace(SubStr(t,1,StrLen(t)-1),",}","}")
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Rewrite the snippet below in PHP so it works the same as the original AWK code.
cat power_set.awk function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r } { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Preserve the algorithm and functionality while converting the code from BBC_Basic to PHP.
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j% = 0 TO DIM(list$(),1) IF i% AND (1 << j%) s$ += list$(j%) + "," NEXT IF RIGHT$(s$) = "," s$ = LEFT$(s$) s$ += "}," NEXT i% = LEFT$(s$) + "}"
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Write the same code in PHP as shown below in Clojure.
(use '[clojure.math.combinatorics :only [subsets] ]) (def S #{1 2 3 4}) user> (subsets S) (() (1) (2) (3) (4) (1 2) (1 3) (1 4) (2 3) (2 4) (3 4) (1 2 3) (1 2 4) (1 3 4) (2 3 4) (1 2 3 4))
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Generate a PHP translation of this Common_Lisp snippet without changing its computational steps.
(defun powerset (s) (if s (mapcan (lambda (x) (list (cons (car s) x) x)) (powerset (cdr s))) '(())))
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Change the following D code into PHP without altering its purpose.
import std.algorithm; import std.range; auto powerSet(R)(R r) { return (1L<<r.length) .iota .map!(i => r.enumerate .filter!(t => (1<<t[0]) & i) .map!(t => t[1]) ); } unittest { int[] emptyArr; assert(emptyArr.powerSet.equal!equal([emptyArr])); assert(emptyArr.powerSet.powerSet.equal!(equal!equal)([[], [emptyArr]])); } void main(string[] args) { import std.stdio; args[1..$].powerSet.each!writeln; }
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Ensure the translated PHP code behaves exactly like the original Delphi snippet.
program Power_set; uses System.SysUtils; const n = 4; var buf: TArray<Integer>; procedure rec(ind, bg: Integer); begin for var i := bg to n - 1 do begin buf[ind] := i; for var j := 0 to ind do write(buf[j]: 2); writeln; rec(ind + 1, buf[ind] + 1); end; end; begin SetLength(buf, n); rec(0,0); readln; end.
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Port the provided Elixir code into PHP while preserving the original functionality.
defmodule RC do use Bitwise def powerset1(list) do n = length(list) max = round(:math.pow(2,n)) for i <- 0..max-1, do: (for pos <- 0..n-1, band(i, bsl(1, pos)) != 0, do: Enum.at(list, pos) ) end def powerset2([]), do: [[]] def powerset2([h|t]) do pt = powerset2(t) (for x <- pt, do: [h|x]) ++ pt end def powerset3([]), do: [[]] def powerset3([h|t]) do pt = powerset3(t) powerset3(h, pt, pt) end defp powerset3(_, [], acc), do: acc defp powerset3(x, [h|t], acc), do: powerset3(x, t, [[x|h] | acc]) end IO.inspect RC.powerset1([1,2,3]) IO.inspect RC.powerset2([1,2,3]) IO.inspect RC.powerset3([1,2,3]) IO.inspect RC.powerset1([]) IO.inspect RC.powerset1(["one"])
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Please provide an equivalent version of this Erlang code in PHP.
powerset(Lst) -> N = length(Lst), Max = trunc(math:pow(2,N)), [[lists:nth(Pos+1,Lst) || Pos <- lists:seq(0,N-1), I band (1 bsl Pos) =/= 0] || I <- lists:seq(0,Max-1)].
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Produce a language-to-language conversion: from F# to PHP, same semantics.
let subsets xs = List.foldBack (fun x rest -> rest @ List.map (fun ys -> x::ys) rest) xs [[]]
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Ensure the translated PHP code behaves exactly like the original Factor snippet.
USING: kernel prettyprint sequences arrays sets hash-sets ; IN: powerset : add ( set elt -- newset ) 1array <hash-set> union ; : powerset ( set -- newset ) members { HS{ } } [ dupd [ add ] curry map append ] reduce <hash-set> ;
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Transform the following Forth implementation into PHP, maintaining the same output and logic.
: ?print dup 1 and if over args type space then ; : .set begin dup while ?print >r 1+ r> 1 rshift repeat drop drop ; : .powerset 0 do ." " cr loop ; : check-none dup 2 < abort" Usage: powerset [val] .. [val]" ; : check-size dup /cell 8 [*] >= abort" Set too large" ; : powerset 1 argn check-none check-size 1- lshift .powerset ; powerset
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Convert the following code from Groovy to PHP, ensuring the logic remains intact.
def powerSetRec(head, tail) { if (!tail) return [head] powerSetRec(head, tail.tail()) + powerSetRec(head + [tail.head()], tail.tail()) } def powerSet(set) { powerSetRec([], set as List) as Set}
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Please provide an equivalent version of this Haskell code in PHP.
import Data.Set import Control.Monad powerset :: Ord a => Set a -> Set (Set a) powerset = fromList . fmap fromList . listPowerset . toList listPowerset :: [a] -> [[a]] listPowerset = filterM (const [True, False])
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Can you help me rewrite this code in PHP instead of Icon, keeping it the same logically?
procedure power_set (s) result := set () if *s = 0 then insert (result, set ()) else { head := set(?s) tail_pset := power_set (x -- head) result ++:= tail_pset every ps := !tail_pset do insert (result, ps ++ head) } return result end
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Produce a language-to-language conversion: from J to PHP, same semantics.
ps =: #~ 2 #:@i.@^ #
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Generate a PHP translation of this Julia snippet without changing its computational steps.
function powerset(x::Vector{T})::Vector{Vector{T}} where T result = Vector{T}[[]] for elem in x, j in eachindex(result) push!(result, [result[j] ; elem]) end result end
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Rewrite the snippet below in PHP so it works the same as the original Lua code.
function powerset(s, start) start = start or 1 if(start > #s) then return {{}} end local ret = powerset(s, start + 1) for i = 1, #ret do ret[#ret + 1] = {s[start], unpack(ret[i])} end return ret end function powerset(s) local t = {{}} for i = 1, #s do for j = 1, #t do t[#t+1] = {s[i],unpack(t[j])} end end return t end function powerset2(s) local ret = {{}} for i = 1, #s do local k = #ret for j = 1, k do ret[k + j] = {s[i], unpack(ret[j])} end end return ret end
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Convert the following code from Mathematica to PHP, ensuring the logic remains intact.
Subsets[{a, b, c}]
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Convert the following code from MATLAB to PHP, ensuring the logic remains intact.
function pset = powerset(theSet) pset = cell(size(theSet)); for i = ( 0:(2^numel(theSet))-1 ) indicies = logical(bitget( i,(1:numel(theSet)) )); pset(i+1) = {theSet(indicies)}; end end
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Write the same code in PHP as shown below in Nim.
import sets, hashes proc hash(x: HashSet[int]): Hash = var h = 0 for i in x: h = h !& hash(i) result = !$h proc powerset[T](inset: HashSet[T]): HashSet[HashSet[T]] = result.incl(initHashSet[T]()) for val in inset: let previous = result for aSet in previous: var newSet = aSet newSet.incl(val) result.incl(newSet) echo powerset([1,2,3,4].toHashSet())
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Translate the given OCaml code snippet into PHP without altering its behavior.
module PowerSet(S: Set.S) = struct include Set.Make (S) let map f s = let work x r = add (f x) r in fold work s empty ;; let powerset s = let base = singleton (S.empty) in let work x r = union r (map (S.add x) r) in S.fold work s base ;; end;;
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Convert this Perl snippet to PHP and keep its semantics consistent.
use Algorithm::Combinatorics "subsets"; my @S = ("a","b","c"); my @PS; my $iter = subsets(\@S); while (my $p = $iter->next) { push @PS, "[@$p]" } say join(" ",@PS);
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Produce a functionally identical PHP code for the snippet given in PowerShell.
function power-set ($array) { if($array) { $n = $array.Count function state($set, $i){ if($i -gt -1) { state $set ($i-1) state ($set+@($array[$i])) ($i-1) } else { "$($set | sort)" } } $set = state @() ($n-1) $power = 0..($set.Count-1) | foreach{@(0)} $i = 0 $set | sort | foreach{$power[$i++] = $_.Split()} $power | sort {$_.Count} } else {@()} } $OFS = " " $setA = power-set @(1,2,3,4) "number of sets in setA: $($setA.Count)" "sets in setA:" $OFS = ", " $setA | foreach{"{"+"$_"+"}"} $setB = @() "number of sets in setB: $($setB.Count)" "sets in setB:" $setB | foreach{"{"+"$_"+"}"} $setC = @(@(), @(@())) "number of sets in setC: $($setC.Count)" "sets in setC:" $setC | foreach{"{"+"$_"+"}"} $OFS = " "
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Translate this program into PHP but keep the logic exactly as in R.
powerset <- function(set){ ps <- list() ps[[1]] <- numeric() for(element in set){ temp <- vector(mode="list",length=length(ps)) for(subset in 1:length(ps)){ temp[[subset]] = c(ps[[subset]],element) } ps <- c(ps,temp) } ps } powerset(1:4)
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Generate an equivalent PHP version of this Racket code.
(define (powerset s) (for/fold ([outer-set (set(set))]) ([element s]) (set-union outer-set (list->set (set-map outer-set (Ξ»(inner-set) (set-add inner-set element)))))))
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Change the programming language of this snippet from REXX to PHP without modifying what it does.
parse arg S if S='' then S= 'one two three four' @= '{}' N= words(S); do chunk=1 for N @=@ combN(N, chunk) end w= length(2**N) do k=1 for words(@) say right(k, w) word(@, k) end exit 0 combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y !.= 0 do p=1 for y; !.p= p end $= do j=1; L= do d=1 for y; L= L','word(S, !.d) end $= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1 if !.y==base then if .combU(y - 1) then leave end return strip($) .combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1 p= !.d do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1) p= !.u end return 0
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Please provide an equivalent version of this Ruby code in PHP.
class Array def power_set inject([[]]) do |acc, you| ret = [] acc.each do |i| ret << i ret << i + [you] end ret end end def func_power_set inject([[]]) { |ps,item| ps + ps.map { |e| e + [item] } } end end require 'set' class Set def powerset inject(Set[Set[]]) do |ps, item| ps.union ps.map {|e| e.union (Set.new [item])} end end end p [1,2,3,4].power_set p %w(one two three).func_power_set p Set[1,2,3].powerset
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Convert this Scala block to PHP, preserving its control flow and logic.
fun <T> Set<T>.subsets(): Sequence<Set<T>> = when (size) { 0 -> sequenceOf(emptySet()) else -> { val head = first() val tail = this - head tail.subsets() + tail.subsets().map { setOf(head) + it } } } fun <T> Set<T>.subsets(): Sequence<Set<T>> = sequence { when (size) { 0 -> yield(emptySet<T>()) else -> { val head = first() val tail = this@subsets - head yieldAll(tail.subsets()) for (subset in tail.subsets()) { yield(setOf(head) + subset) } } } }
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Write the same algorithm in PHP as shown in this Swift implementation.
func powersetFrom<T>(_ elements: Set<T>) -> Set<Set<T>> { guard elements.count > 0 else { return [[]] } var powerset: Set<Set<T>> = [[]] for element in elements { for subset in powerset { powerset.insert(subset.union([element])) } } return powerset } powersetFrom([1, 2, 4])
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Translate the given Tcl code snippet into PHP without altering its behavior.
proc subsets {l} { set res [list [list]] foreach e $l { foreach subset $res {lappend res [lappend subset $e]} } return $res } puts [subsets {a b c d}]
<?php function get_subset($binary, $arr) { $subset = array(); foreach (range(0, count($arr)-1) as $i) { if ($binary[$i]) { $subset[] = $arr[count($arr) - $i - 1]; } } return $subset; } function print_array($arr) { if (count($arr) > 0) { echo join(" ", $arr); } else { echo "(empty)"; } echo '<br>'; } function print_power_sets($arr) { echo "POWER SET of [" . join(", ", $arr) . "]<br>"; foreach (power_set($arr) as $subset) { print_array($subset); } } function power_set($arr) { $binary = array(); foreach (range(1, count($arr)) as $i) { $binary[] = false; } $n = count($arr); $powerset = array(); while (count($binary) <= count($arr)) { $powerset[] = get_subset($binary, $arr); $i = 0; while (true) { if ($binary[$i]) { $binary[$i] = false; $i += 1; } else { $binary[$i] = true; break; } } $binary[$i] = true; } return $powerset; } print_power_sets(array()); print_power_sets(array('singleton')); print_power_sets(array('dog', 'c', 'b', 'a')); ?>
Produce a functionally identical Rust code for the snippet given in C.
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
use std::collections::BTreeSet; fn powerset<T: Ord + Clone>(mut set: BTreeSet<T>) -> BTreeSet<BTreeSet<T>> { if set.is_empty() { let mut powerset = BTreeSet::new(); powerset.insert(set); return powerset; } let entry = set.iter().nth(0).unwrap().clone(); set.remove(&entry); let mut powerset = powerset(set); for mut set in powerset.clone().into_iter() { set.insert(entry.clone()); powerset.insert(set); } powerset } fn main() { let set = (1..5).collect(); let set = powerset(set); println!("{:?}", set); let set = ["a", "b", "c", "d"].iter().collect(); let set = powerset(set); println!("{:?}", set); }
Convert the following code from C++ to Rust, ensuring the logic remains intact.
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
use std::collections::BTreeSet; fn powerset<T: Ord + Clone>(mut set: BTreeSet<T>) -> BTreeSet<BTreeSet<T>> { if set.is_empty() { let mut powerset = BTreeSet::new(); powerset.insert(set); return powerset; } let entry = set.iter().nth(0).unwrap().clone(); set.remove(&entry); let mut powerset = powerset(set); for mut set in powerset.clone().into_iter() { set.insert(entry.clone()); powerset.insert(set); } powerset } fn main() { let set = (1..5).collect(); let set = powerset(set); println!("{:?}", set); let set = ["a", "b", "c", "d"].iter().collect(); let set = powerset(set); println!("{:?}", set); }
Generate a Rust translation of this C# snippet without changing its computational steps.
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
use std::collections::BTreeSet; fn powerset<T: Ord + Clone>(mut set: BTreeSet<T>) -> BTreeSet<BTreeSet<T>> { if set.is_empty() { let mut powerset = BTreeSet::new(); powerset.insert(set); return powerset; } let entry = set.iter().nth(0).unwrap().clone(); set.remove(&entry); let mut powerset = powerset(set); for mut set in powerset.clone().into_iter() { set.insert(entry.clone()); powerset.insert(set); } powerset } fn main() { let set = (1..5).collect(); let set = powerset(set); println!("{:?}", set); let set = ["a", "b", "c", "d"].iter().collect(); let set = powerset(set); println!("{:?}", set); }
Maintain the same structure and functionality when rewriting this code in Rust.
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
use std::collections::BTreeSet; fn powerset<T: Ord + Clone>(mut set: BTreeSet<T>) -> BTreeSet<BTreeSet<T>> { if set.is_empty() { let mut powerset = BTreeSet::new(); powerset.insert(set); return powerset; } let entry = set.iter().nth(0).unwrap().clone(); set.remove(&entry); let mut powerset = powerset(set); for mut set in powerset.clone().into_iter() { set.insert(entry.clone()); powerset.insert(set); } powerset } fn main() { let set = (1..5).collect(); let set = powerset(set); println!("{:?}", set); let set = ["a", "b", "c", "d"].iter().collect(); let set = powerset(set); println!("{:?}", set); }
Port the provided Go code into Rust while preserving the original functionality.
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
use std::collections::BTreeSet; fn powerset<T: Ord + Clone>(mut set: BTreeSet<T>) -> BTreeSet<BTreeSet<T>> { if set.is_empty() { let mut powerset = BTreeSet::new(); powerset.insert(set); return powerset; } let entry = set.iter().nth(0).unwrap().clone(); set.remove(&entry); let mut powerset = powerset(set); for mut set in powerset.clone().into_iter() { set.insert(entry.clone()); powerset.insert(set); } powerset } fn main() { let set = (1..5).collect(); let set = powerset(set); println!("{:?}", set); let set = ["a", "b", "c", "d"].iter().collect(); let set = powerset(set); println!("{:?}", set); }
Convert this Rust block to Python, preserving its control flow and logic.
use std::collections::BTreeSet; fn powerset<T: Ord + Clone>(mut set: BTreeSet<T>) -> BTreeSet<BTreeSet<T>> { if set.is_empty() { let mut powerset = BTreeSet::new(); powerset.insert(set); return powerset; } let entry = set.iter().nth(0).unwrap().clone(); set.remove(&entry); let mut powerset = powerset(set); for mut set in powerset.clone().into_iter() { set.insert(entry.clone()); powerset.insert(set); } powerset } fn main() { let set = (1..5).collect(); let set = powerset(set); println!("{:?}", set); let set = ["a", "b", "c", "d"].iter().collect(); let set = powerset(set); println!("{:?}", set); }
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Ensure the translated VB code behaves exactly like the original Rust snippet.
use std::collections::BTreeSet; fn powerset<T: Ord + Clone>(mut set: BTreeSet<T>) -> BTreeSet<BTreeSet<T>> { if set.is_empty() { let mut powerset = BTreeSet::new(); powerset.insert(set); return powerset; } let entry = set.iter().nth(0).unwrap().clone(); set.remove(&entry); let mut powerset = powerset(set); for mut set in powerset.clone().into_iter() { set.insert(entry.clone()); powerset.insert(set); } powerset } fn main() { let set = (1..5).collect(); let set = powerset(set); println!("{:?}", set); let set = ["a", "b", "c", "d"].iter().collect(); let set = powerset(set); println!("{:?}", set); }
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Ensure the translated C# code behaves exactly like the original Ada snippet.
with Ada.Numerics.Generic_Elementary_Functions; with Ada.Text_IO; use Ada.Text_IO; with GNATCOLL.GMP.Integers; with GNATCOLL.GMP.Lib; procedure Hamming is type Log_Type is new Long_Long_Float; package Funcs is new Ada.Numerics.Generic_Elementary_Functions (Log_Type); type Factors_Array is array (Positive range <>) of Positive; generic Factors : Factors_Array := (2, 3, 5); package Smooth_Numbers is type Number is private; function Compute (Nth : Positive) return Number; function Image (N : Number) return String; private type Exponent_Type is new Natural; type Exponents_Array is array (Factors'Range) of Exponent_Type; type Number is record Exponents : Exponents_Array; Log : Log_Type; end record; function "=" (N1, N2 : Number) return Boolean is (for all F in Factors'Range => N1.Exponents (F) = N2.Exponents (F)); end Smooth_Numbers; package body Smooth_Numbers is One : constant Number := (Exponents => (others => 0), Log => 0.0); Factors_Log : array (Factors'Range) of Log_Type; function Image (N : Number) return String is use GNATCOLL.GMP.Integers, GNATCOLL.GMP.Lib; R, Tmp : Big_Integer; begin Set (R, "1"); for F in Factors'Range loop Set (Tmp, Factors (F)'Image); Raise_To_N (Tmp, GNATCOLL.GMP.Unsigned_Long (N.Exponents (F))); Multiply (R, Tmp); end loop; return Image (R); end Image; function Compute (Nth : Positive) return Number is Candidates : array (Factors'Range) of Number; Values : array (1 .. Nth) of Number; Indices : array (Factors'Range) of Natural := (others => Values'First); Current : Number; Tmp : Number; begin for F in Factors'Range loop Factors_Log (F) := Funcs.Log (Log_Type (Factors (F))); Candidates (F) := One; Candidates (F).Exponents (F) := 1; Candidates (F).Log := Factors_Log (F); end loop; Values (1) := One; for Count in 2 .. Nth loop Current := Candidates (Factors'First); for F in Factors'First + 1 .. Factors'Last loop if Candidates (F).Log < Current.Log then Current := Candidates (F); end if; end loop; Values (Count) := Current; for F in Factors'Range loop if Candidates (F) = Current then Indices (F) := Indices (F) + 1; Tmp := Values (Indices (F)); Tmp.Exponents (F) := Tmp.Exponents (F) + 1; Tmp.Log := Tmp.Log + Factors_Log (F); Candidates (F) := Tmp; end if; end loop; end loop; return Values (Nth); end Compute; end Smooth_Numbers; package Hamming is new Smooth_Numbers ((2, 3, 5)); begin for N in 1 .. 20 loop Put (" " & Hamming.Image (Hamming.Compute (N))); end loop; New_Line; Put_Line (Hamming.Image (Hamming.Compute (1691))); Put_Line (Hamming.Image (Hamming.Compute (1_000_000))); end Hamming;
using System; using System.Numerics; using System.Linq; namespace Hamming { class MainClass { public static BigInteger Hamming(int n) { BigInteger two = 2, three = 3, five = 5; var h = new BigInteger[n]; h[0] = 1; BigInteger x2 = 2, x3 = 3, x5 = 5; int i = 0, j = 0, k = 0; for (int index = 1; index < n; index++) { h[index] = BigInteger.Min(x2, BigInteger.Min(x3, x5)); if (h[index] == x2) x2 = two * h[++i]; if (h[index] == x3) x3 = three * h[++j]; if (h[index] == x5) x5 = five * h[++k]; } return h[n - 1]; } public static void Main(string[] args) { Console.WriteLine(string.Join(" ", Enumerable.Range(1, 20).ToList().Select(x => Hamming(x)))); Console.WriteLine(Hamming(1691)); Console.WriteLine(Hamming(1000000)); } } }
Change the following Ada code into C without altering its purpose.
with Ada.Numerics.Generic_Elementary_Functions; with Ada.Text_IO; use Ada.Text_IO; with GNATCOLL.GMP.Integers; with GNATCOLL.GMP.Lib; procedure Hamming is type Log_Type is new Long_Long_Float; package Funcs is new Ada.Numerics.Generic_Elementary_Functions (Log_Type); type Factors_Array is array (Positive range <>) of Positive; generic Factors : Factors_Array := (2, 3, 5); package Smooth_Numbers is type Number is private; function Compute (Nth : Positive) return Number; function Image (N : Number) return String; private type Exponent_Type is new Natural; type Exponents_Array is array (Factors'Range) of Exponent_Type; type Number is record Exponents : Exponents_Array; Log : Log_Type; end record; function "=" (N1, N2 : Number) return Boolean is (for all F in Factors'Range => N1.Exponents (F) = N2.Exponents (F)); end Smooth_Numbers; package body Smooth_Numbers is One : constant Number := (Exponents => (others => 0), Log => 0.0); Factors_Log : array (Factors'Range) of Log_Type; function Image (N : Number) return String is use GNATCOLL.GMP.Integers, GNATCOLL.GMP.Lib; R, Tmp : Big_Integer; begin Set (R, "1"); for F in Factors'Range loop Set (Tmp, Factors (F)'Image); Raise_To_N (Tmp, GNATCOLL.GMP.Unsigned_Long (N.Exponents (F))); Multiply (R, Tmp); end loop; return Image (R); end Image; function Compute (Nth : Positive) return Number is Candidates : array (Factors'Range) of Number; Values : array (1 .. Nth) of Number; Indices : array (Factors'Range) of Natural := (others => Values'First); Current : Number; Tmp : Number; begin for F in Factors'Range loop Factors_Log (F) := Funcs.Log (Log_Type (Factors (F))); Candidates (F) := One; Candidates (F).Exponents (F) := 1; Candidates (F).Log := Factors_Log (F); end loop; Values (1) := One; for Count in 2 .. Nth loop Current := Candidates (Factors'First); for F in Factors'First + 1 .. Factors'Last loop if Candidates (F).Log < Current.Log then Current := Candidates (F); end if; end loop; Values (Count) := Current; for F in Factors'Range loop if Candidates (F) = Current then Indices (F) := Indices (F) + 1; Tmp := Values (Indices (F)); Tmp.Exponents (F) := Tmp.Exponents (F) + 1; Tmp.Log := Tmp.Log + Factors_Log (F); Candidates (F) := Tmp; end if; end loop; end loop; return Values (Nth); end Compute; end Smooth_Numbers; package Hamming is new Smooth_Numbers ((2, 3, 5)); begin for N in 1 .. 20 loop Put (" " & Hamming.Image (Hamming.Compute (N))); end loop; New_Line; Put_Line (Hamming.Image (Hamming.Compute (1691))); Put_Line (Hamming.Image (Hamming.Compute (1_000_000))); end Hamming;
#include <stdio.h> #include <stdlib.h> typedef unsigned long long ham; size_t alloc = 0, n = 1; ham *q = 0; void qpush(ham h) { int i, j; if (alloc <= n) { alloc = alloc ? alloc * 2 : 16; q = realloc(q, sizeof(ham) * alloc); } for (i = n++; (j = i/2) && q[j] > h; q[i] = q[j], i = j); q[i] = h; } ham qpop() { int i, j; ham r, t; for (r = q[1]; n > 1 && r == q[1]; q[i] = t) { for (i = 1, t = q[--n]; (j = i * 2) < n;) { if (j + 1 < n && q[j] > q[j+1]) j++; if (t <= q[j]) break; q[i] = q[j], i = j; } } return r; } int main() { int i; ham h; for (qpush(i = 1); i <= 1691; i++) { h = qpop(); qpush(h * 2); qpush(h * 3); qpush(h * 5); if (i <= 20 || i == 1691) printf("%6d: %llu\n", i, h); } return 0; }
Convert this Ada block to C++, preserving its control flow and logic.
with Ada.Numerics.Generic_Elementary_Functions; with Ada.Text_IO; use Ada.Text_IO; with GNATCOLL.GMP.Integers; with GNATCOLL.GMP.Lib; procedure Hamming is type Log_Type is new Long_Long_Float; package Funcs is new Ada.Numerics.Generic_Elementary_Functions (Log_Type); type Factors_Array is array (Positive range <>) of Positive; generic Factors : Factors_Array := (2, 3, 5); package Smooth_Numbers is type Number is private; function Compute (Nth : Positive) return Number; function Image (N : Number) return String; private type Exponent_Type is new Natural; type Exponents_Array is array (Factors'Range) of Exponent_Type; type Number is record Exponents : Exponents_Array; Log : Log_Type; end record; function "=" (N1, N2 : Number) return Boolean is (for all F in Factors'Range => N1.Exponents (F) = N2.Exponents (F)); end Smooth_Numbers; package body Smooth_Numbers is One : constant Number := (Exponents => (others => 0), Log => 0.0); Factors_Log : array (Factors'Range) of Log_Type; function Image (N : Number) return String is use GNATCOLL.GMP.Integers, GNATCOLL.GMP.Lib; R, Tmp : Big_Integer; begin Set (R, "1"); for F in Factors'Range loop Set (Tmp, Factors (F)'Image); Raise_To_N (Tmp, GNATCOLL.GMP.Unsigned_Long (N.Exponents (F))); Multiply (R, Tmp); end loop; return Image (R); end Image; function Compute (Nth : Positive) return Number is Candidates : array (Factors'Range) of Number; Values : array (1 .. Nth) of Number; Indices : array (Factors'Range) of Natural := (others => Values'First); Current : Number; Tmp : Number; begin for F in Factors'Range loop Factors_Log (F) := Funcs.Log (Log_Type (Factors (F))); Candidates (F) := One; Candidates (F).Exponents (F) := 1; Candidates (F).Log := Factors_Log (F); end loop; Values (1) := One; for Count in 2 .. Nth loop Current := Candidates (Factors'First); for F in Factors'First + 1 .. Factors'Last loop if Candidates (F).Log < Current.Log then Current := Candidates (F); end if; end loop; Values (Count) := Current; for F in Factors'Range loop if Candidates (F) = Current then Indices (F) := Indices (F) + 1; Tmp := Values (Indices (F)); Tmp.Exponents (F) := Tmp.Exponents (F) + 1; Tmp.Log := Tmp.Log + Factors_Log (F); Candidates (F) := Tmp; end if; end loop; end loop; return Values (Nth); end Compute; end Smooth_Numbers; package Hamming is new Smooth_Numbers ((2, 3, 5)); begin for N in 1 .. 20 loop Put (" " & Hamming.Image (Hamming.Compute (N))); end loop; New_Line; Put_Line (Hamming.Image (Hamming.Compute (1691))); Put_Line (Hamming.Image (Hamming.Compute (1_000_000))); end Hamming;
#include <iostream> #include <vector> class Ham { private: std::vector<unsigned int> _H, _hp, _hv, _x; public: bool operator!=(const Ham& other) const {return true;} Ham begin() const {return *this;} Ham end() const {return *this;} unsigned int operator*() const {return _x.back();} Ham(const std::vector<unsigned int> &pfs):_H(pfs),_hp(pfs.size(),0),_hv({pfs}),_x({1}){} const Ham& operator++() { for (int i=0; i<_H.size(); i++) for (;_hv[i]<=_x.back();_hv[i]=_x[++_hp[i]]*_H[i]); _x.push_back(_hv[0]); for (int i=1; i<_H.size(); i++) if (_hv[i]<_x.back()) _x.back()=_hv[i]; return *this; } };
Preserve the algorithm and functionality while converting the code from Ada to Go.
with Ada.Numerics.Generic_Elementary_Functions; with Ada.Text_IO; use Ada.Text_IO; with GNATCOLL.GMP.Integers; with GNATCOLL.GMP.Lib; procedure Hamming is type Log_Type is new Long_Long_Float; package Funcs is new Ada.Numerics.Generic_Elementary_Functions (Log_Type); type Factors_Array is array (Positive range <>) of Positive; generic Factors : Factors_Array := (2, 3, 5); package Smooth_Numbers is type Number is private; function Compute (Nth : Positive) return Number; function Image (N : Number) return String; private type Exponent_Type is new Natural; type Exponents_Array is array (Factors'Range) of Exponent_Type; type Number is record Exponents : Exponents_Array; Log : Log_Type; end record; function "=" (N1, N2 : Number) return Boolean is (for all F in Factors'Range => N1.Exponents (F) = N2.Exponents (F)); end Smooth_Numbers; package body Smooth_Numbers is One : constant Number := (Exponents => (others => 0), Log => 0.0); Factors_Log : array (Factors'Range) of Log_Type; function Image (N : Number) return String is use GNATCOLL.GMP.Integers, GNATCOLL.GMP.Lib; R, Tmp : Big_Integer; begin Set (R, "1"); for F in Factors'Range loop Set (Tmp, Factors (F)'Image); Raise_To_N (Tmp, GNATCOLL.GMP.Unsigned_Long (N.Exponents (F))); Multiply (R, Tmp); end loop; return Image (R); end Image; function Compute (Nth : Positive) return Number is Candidates : array (Factors'Range) of Number; Values : array (1 .. Nth) of Number; Indices : array (Factors'Range) of Natural := (others => Values'First); Current : Number; Tmp : Number; begin for F in Factors'Range loop Factors_Log (F) := Funcs.Log (Log_Type (Factors (F))); Candidates (F) := One; Candidates (F).Exponents (F) := 1; Candidates (F).Log := Factors_Log (F); end loop; Values (1) := One; for Count in 2 .. Nth loop Current := Candidates (Factors'First); for F in Factors'First + 1 .. Factors'Last loop if Candidates (F).Log < Current.Log then Current := Candidates (F); end if; end loop; Values (Count) := Current; for F in Factors'Range loop if Candidates (F) = Current then Indices (F) := Indices (F) + 1; Tmp := Values (Indices (F)); Tmp.Exponents (F) := Tmp.Exponents (F) + 1; Tmp.Log := Tmp.Log + Factors_Log (F); Candidates (F) := Tmp; end if; end loop; end loop; return Values (Nth); end Compute; end Smooth_Numbers; package Hamming is new Smooth_Numbers ((2, 3, 5)); begin for N in 1 .. 20 loop Put (" " & Hamming.Image (Hamming.Compute (N))); end loop; New_Line; Put_Line (Hamming.Image (Hamming.Compute (1691))); Put_Line (Hamming.Image (Hamming.Compute (1_000_000))); end Hamming;
package main import ( "fmt" "math/big" ) func min(a, b *big.Int) *big.Int { if a.Cmp(b) < 0 { return a } return b } func hamming(n int) []*big.Int { h := make([]*big.Int, n) h[0] = big.NewInt(1) two, three, five := big.NewInt(2), big.NewInt(3), big.NewInt(5) next2, next3, next5 := big.NewInt(2), big.NewInt(3), big.NewInt(5) i, j, k := 0, 0, 0 for m := 1; m < len(h); m++ { h[m] = new(big.Int).Set(min(next2, min(next3, next5))) if h[m].Cmp(next2) == 0 { i++; next2.Mul( two, h[i]) } if h[m].Cmp(next3) == 0 { j++; next3.Mul(three, h[j]) } if h[m].Cmp(next5) == 0 { k++; next5.Mul( five, h[k]) } } return h } func main() { h := hamming(1e6) fmt.Println(h[:20]) fmt.Println(h[1691-1]) fmt.Println(h[len(h)-1]) }
Translate this program into Java but keep the logic exactly as in Ada.
with Ada.Numerics.Generic_Elementary_Functions; with Ada.Text_IO; use Ada.Text_IO; with GNATCOLL.GMP.Integers; with GNATCOLL.GMP.Lib; procedure Hamming is type Log_Type is new Long_Long_Float; package Funcs is new Ada.Numerics.Generic_Elementary_Functions (Log_Type); type Factors_Array is array (Positive range <>) of Positive; generic Factors : Factors_Array := (2, 3, 5); package Smooth_Numbers is type Number is private; function Compute (Nth : Positive) return Number; function Image (N : Number) return String; private type Exponent_Type is new Natural; type Exponents_Array is array (Factors'Range) of Exponent_Type; type Number is record Exponents : Exponents_Array; Log : Log_Type; end record; function "=" (N1, N2 : Number) return Boolean is (for all F in Factors'Range => N1.Exponents (F) = N2.Exponents (F)); end Smooth_Numbers; package body Smooth_Numbers is One : constant Number := (Exponents => (others => 0), Log => 0.0); Factors_Log : array (Factors'Range) of Log_Type; function Image (N : Number) return String is use GNATCOLL.GMP.Integers, GNATCOLL.GMP.Lib; R, Tmp : Big_Integer; begin Set (R, "1"); for F in Factors'Range loop Set (Tmp, Factors (F)'Image); Raise_To_N (Tmp, GNATCOLL.GMP.Unsigned_Long (N.Exponents (F))); Multiply (R, Tmp); end loop; return Image (R); end Image; function Compute (Nth : Positive) return Number is Candidates : array (Factors'Range) of Number; Values : array (1 .. Nth) of Number; Indices : array (Factors'Range) of Natural := (others => Values'First); Current : Number; Tmp : Number; begin for F in Factors'Range loop Factors_Log (F) := Funcs.Log (Log_Type (Factors (F))); Candidates (F) := One; Candidates (F).Exponents (F) := 1; Candidates (F).Log := Factors_Log (F); end loop; Values (1) := One; for Count in 2 .. Nth loop Current := Candidates (Factors'First); for F in Factors'First + 1 .. Factors'Last loop if Candidates (F).Log < Current.Log then Current := Candidates (F); end if; end loop; Values (Count) := Current; for F in Factors'Range loop if Candidates (F) = Current then Indices (F) := Indices (F) + 1; Tmp := Values (Indices (F)); Tmp.Exponents (F) := Tmp.Exponents (F) + 1; Tmp.Log := Tmp.Log + Factors_Log (F); Candidates (F) := Tmp; end if; end loop; end loop; return Values (Nth); end Compute; end Smooth_Numbers; package Hamming is new Smooth_Numbers ((2, 3, 5)); begin for N in 1 .. 20 loop Put (" " & Hamming.Image (Hamming.Compute (N))); end loop; New_Line; Put_Line (Hamming.Image (Hamming.Compute (1691))); Put_Line (Hamming.Image (Hamming.Compute (1_000_000))); end Hamming;
import java.math.BigInteger; import java.util.PriorityQueue; final class Hamming { private static BigInteger THREE = BigInteger.valueOf(3); private static BigInteger FIVE = BigInteger.valueOf(5); private static void updateFrontier(BigInteger x, PriorityQueue<BigInteger> pq) { pq.offer(x.shiftLeft(1)); pq.offer(x.multiply(THREE)); pq.offer(x.multiply(FIVE)); } public static BigInteger hamming(int n) { if (n <= 0) throw new IllegalArgumentException("Invalid parameter"); PriorityQueue<BigInteger> frontier = new PriorityQueue<BigInteger>(); updateFrontier(BigInteger.ONE, frontier); BigInteger lowest = BigInteger.ONE; for (int i = 1; i < n; i++) { lowest = frontier.poll(); while (frontier.peek().equals(lowest)) frontier.poll(); updateFrontier(lowest, frontier); } return lowest; } public static void main(String[] args) { System.out.print("Hamming(1 .. 20) ="); for (int i = 1; i < 21; i++) System.out.print(" " + hamming(i)); System.out.println("\nHamming(1691) = " + hamming(1691)); System.out.println("Hamming(1000000) = " + hamming(1000000)); } }
Transform the following Ada implementation into Python, maintaining the same output and logic.
with Ada.Numerics.Generic_Elementary_Functions; with Ada.Text_IO; use Ada.Text_IO; with GNATCOLL.GMP.Integers; with GNATCOLL.GMP.Lib; procedure Hamming is type Log_Type is new Long_Long_Float; package Funcs is new Ada.Numerics.Generic_Elementary_Functions (Log_Type); type Factors_Array is array (Positive range <>) of Positive; generic Factors : Factors_Array := (2, 3, 5); package Smooth_Numbers is type Number is private; function Compute (Nth : Positive) return Number; function Image (N : Number) return String; private type Exponent_Type is new Natural; type Exponents_Array is array (Factors'Range) of Exponent_Type; type Number is record Exponents : Exponents_Array; Log : Log_Type; end record; function "=" (N1, N2 : Number) return Boolean is (for all F in Factors'Range => N1.Exponents (F) = N2.Exponents (F)); end Smooth_Numbers; package body Smooth_Numbers is One : constant Number := (Exponents => (others => 0), Log => 0.0); Factors_Log : array (Factors'Range) of Log_Type; function Image (N : Number) return String is use GNATCOLL.GMP.Integers, GNATCOLL.GMP.Lib; R, Tmp : Big_Integer; begin Set (R, "1"); for F in Factors'Range loop Set (Tmp, Factors (F)'Image); Raise_To_N (Tmp, GNATCOLL.GMP.Unsigned_Long (N.Exponents (F))); Multiply (R, Tmp); end loop; return Image (R); end Image; function Compute (Nth : Positive) return Number is Candidates : array (Factors'Range) of Number; Values : array (1 .. Nth) of Number; Indices : array (Factors'Range) of Natural := (others => Values'First); Current : Number; Tmp : Number; begin for F in Factors'Range loop Factors_Log (F) := Funcs.Log (Log_Type (Factors (F))); Candidates (F) := One; Candidates (F).Exponents (F) := 1; Candidates (F).Log := Factors_Log (F); end loop; Values (1) := One; for Count in 2 .. Nth loop Current := Candidates (Factors'First); for F in Factors'First + 1 .. Factors'Last loop if Candidates (F).Log < Current.Log then Current := Candidates (F); end if; end loop; Values (Count) := Current; for F in Factors'Range loop if Candidates (F) = Current then Indices (F) := Indices (F) + 1; Tmp := Values (Indices (F)); Tmp.Exponents (F) := Tmp.Exponents (F) + 1; Tmp.Log := Tmp.Log + Factors_Log (F); Candidates (F) := Tmp; end if; end loop; end loop; return Values (Nth); end Compute; end Smooth_Numbers; package Hamming is new Smooth_Numbers ((2, 3, 5)); begin for N in 1 .. 20 loop Put (" " & Hamming.Image (Hamming.Compute (N))); end loop; New_Line; Put_Line (Hamming.Image (Hamming.Compute (1691))); Put_Line (Hamming.Image (Hamming.Compute (1_000_000))); end Hamming;
from itertools import islice def hamming2(): h = 1 _h=[h] multipliers = (2, 3, 5) multindeces = [0 for i in multipliers] multvalues = [x * _h[i] for x,i in zip(multipliers, multindeces)] yield h while True: h = min(multvalues) _h.append(h) for (n,(v,x,i)) in enumerate(zip(multvalues, multipliers, multindeces)): if v == h: i += 1 multindeces[n] = i multvalues[n] = x * _h[i] mini = min(multindeces) if mini >= 1000: del _h[:mini] multindeces = [i - mini for i in multindeces] yield h
Convert the following code from Ada to VB, ensuring the logic remains intact.
with Ada.Numerics.Generic_Elementary_Functions; with Ada.Text_IO; use Ada.Text_IO; with GNATCOLL.GMP.Integers; with GNATCOLL.GMP.Lib; procedure Hamming is type Log_Type is new Long_Long_Float; package Funcs is new Ada.Numerics.Generic_Elementary_Functions (Log_Type); type Factors_Array is array (Positive range <>) of Positive; generic Factors : Factors_Array := (2, 3, 5); package Smooth_Numbers is type Number is private; function Compute (Nth : Positive) return Number; function Image (N : Number) return String; private type Exponent_Type is new Natural; type Exponents_Array is array (Factors'Range) of Exponent_Type; type Number is record Exponents : Exponents_Array; Log : Log_Type; end record; function "=" (N1, N2 : Number) return Boolean is (for all F in Factors'Range => N1.Exponents (F) = N2.Exponents (F)); end Smooth_Numbers; package body Smooth_Numbers is One : constant Number := (Exponents => (others => 0), Log => 0.0); Factors_Log : array (Factors'Range) of Log_Type; function Image (N : Number) return String is use GNATCOLL.GMP.Integers, GNATCOLL.GMP.Lib; R, Tmp : Big_Integer; begin Set (R, "1"); for F in Factors'Range loop Set (Tmp, Factors (F)'Image); Raise_To_N (Tmp, GNATCOLL.GMP.Unsigned_Long (N.Exponents (F))); Multiply (R, Tmp); end loop; return Image (R); end Image; function Compute (Nth : Positive) return Number is Candidates : array (Factors'Range) of Number; Values : array (1 .. Nth) of Number; Indices : array (Factors'Range) of Natural := (others => Values'First); Current : Number; Tmp : Number; begin for F in Factors'Range loop Factors_Log (F) := Funcs.Log (Log_Type (Factors (F))); Candidates (F) := One; Candidates (F).Exponents (F) := 1; Candidates (F).Log := Factors_Log (F); end loop; Values (1) := One; for Count in 2 .. Nth loop Current := Candidates (Factors'First); for F in Factors'First + 1 .. Factors'Last loop if Candidates (F).Log < Current.Log then Current := Candidates (F); end if; end loop; Values (Count) := Current; for F in Factors'Range loop if Candidates (F) = Current then Indices (F) := Indices (F) + 1; Tmp := Values (Indices (F)); Tmp.Exponents (F) := Tmp.Exponents (F) + 1; Tmp.Log := Tmp.Log + Factors_Log (F); Candidates (F) := Tmp; end if; end loop; end loop; return Values (Nth); end Compute; end Smooth_Numbers; package Hamming is new Smooth_Numbers ((2, 3, 5)); begin for N in 1 .. 20 loop Put (" " & Hamming.Image (Hamming.Compute (N))); end loop; New_Line; Put_Line (Hamming.Image (Hamming.Compute (1691))); Put_Line (Hamming.Image (Hamming.Compute (1_000_000))); end Hamming;
Public a As Double, b As Double, c As Double, d As Double Public p As Double, q As Double, r As Double Public cnt() As Integer Public hn(2) As Integer Public Declare Function GetTickCount Lib "kernel32.dll" () As Long Private Function log10(x As Double) As Double log10 = WorksheetFunction.log10(x) End Function Private Function pow(x As Variant, y As Variant) As Double pow = WorksheetFunction.Power(x, y) End Function Private Sub init(N As Long) Dim k As Double k = log10(2) * log10(3) * log10(5) * 6 * N k = pow(k, 1 / 3) a = k / log10(2) b = k / log10(3) c = k / log10(5) p = -b * c q = -a * c r = -a * b End Sub Private Function x_given_y_z(y As Integer, z As Integer) As Double x_given_y_z = -(q * y + r * z + a * b * c) / p End Function Private Function cmp(i As Integer, j As Integer, k As Integer, gn() As Integer) As Boolean cmp = (i * log10(2) + j * log10(3) + k * log10(5)) > (gn(0) * log10(2) + gn(1) * log10(3) + gn(2) * log10(5)) End Function Private Function count(N As Long, step As Integer) As Long Dim M As Long, j As Integer, k As Integer If step = 2 Then ReDim cnt(0 To Int(b) + 1, 0 To Int(c) + 1) M = 0: j = 0: k = 0 Do While -c * j - b * k + b * c > 0 Do While -c * j - b * k + b * c > 0 Select Case step Case 1: M = M + Int(x_given_y_z(j, k)) Case 2 cnt(j, k) = Int(x_given_y_z(j, k)) Case 3 If Int(x_given_y_z(j, k)) < cnt(j, k) Then If cmp(cnt(j, k), j, k, hn) Then hn(0) = cnt(j, k) hn(1) = j hn(2) = k End If End If End Select k = k + 1 Loop k = 0 j = j + 1 Loop count = M End Function Private Sub list_upto(ByVal N As Integer) Dim count As Integer count = 1 Dim hn As Integer hn = 1 Do While count < N k = hn Do While k Mod 2 = 0 k = k / 2 Loop Do While k Mod 3 = 0 k = k / 3 Loop Do While k Mod 5 = 0 k = k / 5 Loop If k = 1 Then Debug.Print hn; " "; count = count + 1 End If hn = hn + 1 Loop Debug.Print End Sub Private Function find_seed(N As Long, step As Integer) As Long Dim initial As Long, total As Long initial = N Do init initial total = count(initial, step) initial = initial + N - total Loop Until total = N find_seed = initial End Function Private Sub find_hn(N As Long) Dim fs As Long, err As Long fs = find_seed(N, 1) init fs err = count(fs, 2) init fs - 1 err = count(fs - 1, 3) Debug.Print "2^" & hn(0) - 1; " * 3^" & hn(1); " * 5^" & hn(2); "="; If N < 1692 Then Debug.Print pow(2, hn(0) - 1) * pow(3, hn(1)) * pow(5, hn(2)) Else Debug.Print If N <= 1000000 Then If hn(0) - 1 < hn(2) Then Debug.Print CDec(pow(3, hn(1))) * CDec(pow(5, hn(2) - hn(0) + 1)) & String$(hn(0) - 1, "0") Else Debug.Print CDec(pow(2, hn(0) - 1 - hn(2))) * CDec(pow(3, hn(1))) & String$(hn(2), "0") End If End If End If End Sub Public Sub main() Dim start_time As Long, finis_time As Long start_time = GetTickCount Debug.Print "The first twenty Hamming numbers are:" list_upto 20 Debug.Print "Hamming number 1691 is: "; find_hn 1691 Debug.Print "Hamming number 1000000 is: "; find_hn 1000000 finis_time = GetTickCount Debug.Print "Execution time"; (finis_time - start_time); " milliseconds" End Sub
Rewrite the snippet below in C so it works the same as the original Arturo code.
hamming: function [limit][ if limit=1 -> return 1 h: map 0..limit-1 'z -> 1 x2: 2, x3: 3, x5: 5 i: 0, j: 0, k: 0 loop 1..limit-1 'n [ set h n min @[x2 x3 x5] if x2 = h\[n] [ i: i + 1 x2: 2 * h\[i] ] if x3 = h\[n] [ j: j + 1 x3: 3 * h\[j] ] if x5 = h\[n] [ k: k + 1 x5: 5 * h\[k] ] ] last h ] print map 1..20 => hamming print hamming 1691 print hamming 1000000
#include <stdio.h> #include <stdlib.h> typedef unsigned long long ham; size_t alloc = 0, n = 1; ham *q = 0; void qpush(ham h) { int i, j; if (alloc <= n) { alloc = alloc ? alloc * 2 : 16; q = realloc(q, sizeof(ham) * alloc); } for (i = n++; (j = i/2) && q[j] > h; q[i] = q[j], i = j); q[i] = h; } ham qpop() { int i, j; ham r, t; for (r = q[1]; n > 1 && r == q[1]; q[i] = t) { for (i = 1, t = q[--n]; (j = i * 2) < n;) { if (j + 1 < n && q[j] > q[j+1]) j++; if (t <= q[j]) break; q[i] = q[j], i = j; } } return r; } int main() { int i; ham h; for (qpush(i = 1); i <= 1691; i++) { h = qpop(); qpush(h * 2); qpush(h * 3); qpush(h * 5); if (i <= 20 || i == 1691) printf("%6d: %llu\n", i, h); } return 0; }
Change the following Arturo code into C# without altering its purpose.
hamming: function [limit][ if limit=1 -> return 1 h: map 0..limit-1 'z -> 1 x2: 2, x3: 3, x5: 5 i: 0, j: 0, k: 0 loop 1..limit-1 'n [ set h n min @[x2 x3 x5] if x2 = h\[n] [ i: i + 1 x2: 2 * h\[i] ] if x3 = h\[n] [ j: j + 1 x3: 3 * h\[j] ] if x5 = h\[n] [ k: k + 1 x5: 5 * h\[k] ] ] last h ] print map 1..20 => hamming print hamming 1691 print hamming 1000000
using System; using System.Numerics; using System.Linq; namespace Hamming { class MainClass { public static BigInteger Hamming(int n) { BigInteger two = 2, three = 3, five = 5; var h = new BigInteger[n]; h[0] = 1; BigInteger x2 = 2, x3 = 3, x5 = 5; int i = 0, j = 0, k = 0; for (int index = 1; index < n; index++) { h[index] = BigInteger.Min(x2, BigInteger.Min(x3, x5)); if (h[index] == x2) x2 = two * h[++i]; if (h[index] == x3) x3 = three * h[++j]; if (h[index] == x5) x5 = five * h[++k]; } return h[n - 1]; } public static void Main(string[] args) { Console.WriteLine(string.Join(" ", Enumerable.Range(1, 20).ToList().Select(x => Hamming(x)))); Console.WriteLine(Hamming(1691)); Console.WriteLine(Hamming(1000000)); } } }
Convert this Arturo block to C++, preserving its control flow and logic.
hamming: function [limit][ if limit=1 -> return 1 h: map 0..limit-1 'z -> 1 x2: 2, x3: 3, x5: 5 i: 0, j: 0, k: 0 loop 1..limit-1 'n [ set h n min @[x2 x3 x5] if x2 = h\[n] [ i: i + 1 x2: 2 * h\[i] ] if x3 = h\[n] [ j: j + 1 x3: 3 * h\[j] ] if x5 = h\[n] [ k: k + 1 x5: 5 * h\[k] ] ] last h ] print map 1..20 => hamming print hamming 1691 print hamming 1000000
#include <iostream> #include <vector> class Ham { private: std::vector<unsigned int> _H, _hp, _hv, _x; public: bool operator!=(const Ham& other) const {return true;} Ham begin() const {return *this;} Ham end() const {return *this;} unsigned int operator*() const {return _x.back();} Ham(const std::vector<unsigned int> &pfs):_H(pfs),_hp(pfs.size(),0),_hv({pfs}),_x({1}){} const Ham& operator++() { for (int i=0; i<_H.size(); i++) for (;_hv[i]<=_x.back();_hv[i]=_x[++_hp[i]]*_H[i]); _x.push_back(_hv[0]); for (int i=1; i<_H.size(); i++) if (_hv[i]<_x.back()) _x.back()=_hv[i]; return *this; } };
Keep all operations the same but rewrite the snippet in Java.
hamming: function [limit][ if limit=1 -> return 1 h: map 0..limit-1 'z -> 1 x2: 2, x3: 3, x5: 5 i: 0, j: 0, k: 0 loop 1..limit-1 'n [ set h n min @[x2 x3 x5] if x2 = h\[n] [ i: i + 1 x2: 2 * h\[i] ] if x3 = h\[n] [ j: j + 1 x3: 3 * h\[j] ] if x5 = h\[n] [ k: k + 1 x5: 5 * h\[k] ] ] last h ] print map 1..20 => hamming print hamming 1691 print hamming 1000000
import java.math.BigInteger; import java.util.PriorityQueue; final class Hamming { private static BigInteger THREE = BigInteger.valueOf(3); private static BigInteger FIVE = BigInteger.valueOf(5); private static void updateFrontier(BigInteger x, PriorityQueue<BigInteger> pq) { pq.offer(x.shiftLeft(1)); pq.offer(x.multiply(THREE)); pq.offer(x.multiply(FIVE)); } public static BigInteger hamming(int n) { if (n <= 0) throw new IllegalArgumentException("Invalid parameter"); PriorityQueue<BigInteger> frontier = new PriorityQueue<BigInteger>(); updateFrontier(BigInteger.ONE, frontier); BigInteger lowest = BigInteger.ONE; for (int i = 1; i < n; i++) { lowest = frontier.poll(); while (frontier.peek().equals(lowest)) frontier.poll(); updateFrontier(lowest, frontier); } return lowest; } public static void main(String[] args) { System.out.print("Hamming(1 .. 20) ="); for (int i = 1; i < 21; i++) System.out.print(" " + hamming(i)); System.out.println("\nHamming(1691) = " + hamming(1691)); System.out.println("Hamming(1000000) = " + hamming(1000000)); } }
Ensure the translated Python code behaves exactly like the original Arturo snippet.
hamming: function [limit][ if limit=1 -> return 1 h: map 0..limit-1 'z -> 1 x2: 2, x3: 3, x5: 5 i: 0, j: 0, k: 0 loop 1..limit-1 'n [ set h n min @[x2 x3 x5] if x2 = h\[n] [ i: i + 1 x2: 2 * h\[i] ] if x3 = h\[n] [ j: j + 1 x3: 3 * h\[j] ] if x5 = h\[n] [ k: k + 1 x5: 5 * h\[k] ] ] last h ] print map 1..20 => hamming print hamming 1691 print hamming 1000000
from itertools import islice def hamming2(): h = 1 _h=[h] multipliers = (2, 3, 5) multindeces = [0 for i in multipliers] multvalues = [x * _h[i] for x,i in zip(multipliers, multindeces)] yield h while True: h = min(multvalues) _h.append(h) for (n,(v,x,i)) in enumerate(zip(multvalues, multipliers, multindeces)): if v == h: i += 1 multindeces[n] = i multvalues[n] = x * _h[i] mini = min(multindeces) if mini >= 1000: del _h[:mini] multindeces = [i - mini for i in multindeces] yield h
Ensure the translated VB code behaves exactly like the original Arturo snippet.
hamming: function [limit][ if limit=1 -> return 1 h: map 0..limit-1 'z -> 1 x2: 2, x3: 3, x5: 5 i: 0, j: 0, k: 0 loop 1..limit-1 'n [ set h n min @[x2 x3 x5] if x2 = h\[n] [ i: i + 1 x2: 2 * h\[i] ] if x3 = h\[n] [ j: j + 1 x3: 3 * h\[j] ] if x5 = h\[n] [ k: k + 1 x5: 5 * h\[k] ] ] last h ] print map 1..20 => hamming print hamming 1691 print hamming 1000000
Public a As Double, b As Double, c As Double, d As Double Public p As Double, q As Double, r As Double Public cnt() As Integer Public hn(2) As Integer Public Declare Function GetTickCount Lib "kernel32.dll" () As Long Private Function log10(x As Double) As Double log10 = WorksheetFunction.log10(x) End Function Private Function pow(x As Variant, y As Variant) As Double pow = WorksheetFunction.Power(x, y) End Function Private Sub init(N As Long) Dim k As Double k = log10(2) * log10(3) * log10(5) * 6 * N k = pow(k, 1 / 3) a = k / log10(2) b = k / log10(3) c = k / log10(5) p = -b * c q = -a * c r = -a * b End Sub Private Function x_given_y_z(y As Integer, z As Integer) As Double x_given_y_z = -(q * y + r * z + a * b * c) / p End Function Private Function cmp(i As Integer, j As Integer, k As Integer, gn() As Integer) As Boolean cmp = (i * log10(2) + j * log10(3) + k * log10(5)) > (gn(0) * log10(2) + gn(1) * log10(3) + gn(2) * log10(5)) End Function Private Function count(N As Long, step As Integer) As Long Dim M As Long, j As Integer, k As Integer If step = 2 Then ReDim cnt(0 To Int(b) + 1, 0 To Int(c) + 1) M = 0: j = 0: k = 0 Do While -c * j - b * k + b * c > 0 Do While -c * j - b * k + b * c > 0 Select Case step Case 1: M = M + Int(x_given_y_z(j, k)) Case 2 cnt(j, k) = Int(x_given_y_z(j, k)) Case 3 If Int(x_given_y_z(j, k)) < cnt(j, k) Then If cmp(cnt(j, k), j, k, hn) Then hn(0) = cnt(j, k) hn(1) = j hn(2) = k End If End If End Select k = k + 1 Loop k = 0 j = j + 1 Loop count = M End Function Private Sub list_upto(ByVal N As Integer) Dim count As Integer count = 1 Dim hn As Integer hn = 1 Do While count < N k = hn Do While k Mod 2 = 0 k = k / 2 Loop Do While k Mod 3 = 0 k = k / 3 Loop Do While k Mod 5 = 0 k = k / 5 Loop If k = 1 Then Debug.Print hn; " "; count = count + 1 End If hn = hn + 1 Loop Debug.Print End Sub Private Function find_seed(N As Long, step As Integer) As Long Dim initial As Long, total As Long initial = N Do init initial total = count(initial, step) initial = initial + N - total Loop Until total = N find_seed = initial End Function Private Sub find_hn(N As Long) Dim fs As Long, err As Long fs = find_seed(N, 1) init fs err = count(fs, 2) init fs - 1 err = count(fs - 1, 3) Debug.Print "2^" & hn(0) - 1; " * 3^" & hn(1); " * 5^" & hn(2); "="; If N < 1692 Then Debug.Print pow(2, hn(0) - 1) * pow(3, hn(1)) * pow(5, hn(2)) Else Debug.Print If N <= 1000000 Then If hn(0) - 1 < hn(2) Then Debug.Print CDec(pow(3, hn(1))) * CDec(pow(5, hn(2) - hn(0) + 1)) & String$(hn(0) - 1, "0") Else Debug.Print CDec(pow(2, hn(0) - 1 - hn(2))) * CDec(pow(3, hn(1))) & String$(hn(2), "0") End If End If End If End Sub Public Sub main() Dim start_time As Long, finis_time As Long start_time = GetTickCount Debug.Print "The first twenty Hamming numbers are:" list_upto 20 Debug.Print "Hamming number 1691 is: "; find_hn 1691 Debug.Print "Hamming number 1000000 is: "; find_hn 1000000 finis_time = GetTickCount Debug.Print "Execution time"; (finis_time - start_time); " milliseconds" End Sub
Generate an equivalent Go version of this Arturo code.
hamming: function [limit][ if limit=1 -> return 1 h: map 0..limit-1 'z -> 1 x2: 2, x3: 3, x5: 5 i: 0, j: 0, k: 0 loop 1..limit-1 'n [ set h n min @[x2 x3 x5] if x2 = h\[n] [ i: i + 1 x2: 2 * h\[i] ] if x3 = h\[n] [ j: j + 1 x3: 3 * h\[j] ] if x5 = h\[n] [ k: k + 1 x5: 5 * h\[k] ] ] last h ] print map 1..20 => hamming print hamming 1691 print hamming 1000000
package main import ( "fmt" "math/big" ) func min(a, b *big.Int) *big.Int { if a.Cmp(b) < 0 { return a } return b } func hamming(n int) []*big.Int { h := make([]*big.Int, n) h[0] = big.NewInt(1) two, three, five := big.NewInt(2), big.NewInt(3), big.NewInt(5) next2, next3, next5 := big.NewInt(2), big.NewInt(3), big.NewInt(5) i, j, k := 0, 0, 0 for m := 1; m < len(h); m++ { h[m] = new(big.Int).Set(min(next2, min(next3, next5))) if h[m].Cmp(next2) == 0 { i++; next2.Mul( two, h[i]) } if h[m].Cmp(next3) == 0 { j++; next3.Mul(three, h[j]) } if h[m].Cmp(next5) == 0 { k++; next5.Mul( five, h[k]) } } return h } func main() { h := hamming(1e6) fmt.Println(h[:20]) fmt.Println(h[1691-1]) fmt.Println(h[len(h)-1]) }
Transform the following AutoHotKey implementation into C, maintaining the same output and logic.
SetBatchLines, -1 Msgbox % hamming(1,20) Msgbox % hamming(1690) return hamming(first,last=0) { if (first < 1) ans=ERROR if (last = 0) last := first i:=0, j:=0, k:=0 num1 := ceil((last * 20)**(1/3)) num2 := ceil(num1 * ln(2)/ln(3)) num3 := ceil(num1 * ln(2)/ln(5)) loop { H := (2**i) * (3**j) * (5**k) if (H > 0) ans = %H%`n%ans% i++ if (i > num1) { i=0 j++ if (j > num2) { j=0 k++ } } if (k > num3) break } Sort ans, N Loop, parse, ans, `n, `r { if (A_index > last) break if (A_index < first) continue Output = %Output%`n%A_LoopField% } return Output }
#include <stdio.h> #include <stdlib.h> typedef unsigned long long ham; size_t alloc = 0, n = 1; ham *q = 0; void qpush(ham h) { int i, j; if (alloc <= n) { alloc = alloc ? alloc * 2 : 16; q = realloc(q, sizeof(ham) * alloc); } for (i = n++; (j = i/2) && q[j] > h; q[i] = q[j], i = j); q[i] = h; } ham qpop() { int i, j; ham r, t; for (r = q[1]; n > 1 && r == q[1]; q[i] = t) { for (i = 1, t = q[--n]; (j = i * 2) < n;) { if (j + 1 < n && q[j] > q[j+1]) j++; if (t <= q[j]) break; q[i] = q[j], i = j; } } return r; } int main() { int i; ham h; for (qpush(i = 1); i <= 1691; i++) { h = qpop(); qpush(h * 2); qpush(h * 3); qpush(h * 5); if (i <= 20 || i == 1691) printf("%6d: %llu\n", i, h); } return 0; }
Produce a language-to-language conversion: from AutoHotKey to C#, same semantics.
SetBatchLines, -1 Msgbox % hamming(1,20) Msgbox % hamming(1690) return hamming(first,last=0) { if (first < 1) ans=ERROR if (last = 0) last := first i:=0, j:=0, k:=0 num1 := ceil((last * 20)**(1/3)) num2 := ceil(num1 * ln(2)/ln(3)) num3 := ceil(num1 * ln(2)/ln(5)) loop { H := (2**i) * (3**j) * (5**k) if (H > 0) ans = %H%`n%ans% i++ if (i > num1) { i=0 j++ if (j > num2) { j=0 k++ } } if (k > num3) break } Sort ans, N Loop, parse, ans, `n, `r { if (A_index > last) break if (A_index < first) continue Output = %Output%`n%A_LoopField% } return Output }
using System; using System.Numerics; using System.Linq; namespace Hamming { class MainClass { public static BigInteger Hamming(int n) { BigInteger two = 2, three = 3, five = 5; var h = new BigInteger[n]; h[0] = 1; BigInteger x2 = 2, x3 = 3, x5 = 5; int i = 0, j = 0, k = 0; for (int index = 1; index < n; index++) { h[index] = BigInteger.Min(x2, BigInteger.Min(x3, x5)); if (h[index] == x2) x2 = two * h[++i]; if (h[index] == x3) x3 = three * h[++j]; if (h[index] == x5) x5 = five * h[++k]; } return h[n - 1]; } public static void Main(string[] args) { Console.WriteLine(string.Join(" ", Enumerable.Range(1, 20).ToList().Select(x => Hamming(x)))); Console.WriteLine(Hamming(1691)); Console.WriteLine(Hamming(1000000)); } } }
Keep all operations the same but rewrite the snippet in C++.
SetBatchLines, -1 Msgbox % hamming(1,20) Msgbox % hamming(1690) return hamming(first,last=0) { if (first < 1) ans=ERROR if (last = 0) last := first i:=0, j:=0, k:=0 num1 := ceil((last * 20)**(1/3)) num2 := ceil(num1 * ln(2)/ln(3)) num3 := ceil(num1 * ln(2)/ln(5)) loop { H := (2**i) * (3**j) * (5**k) if (H > 0) ans = %H%`n%ans% i++ if (i > num1) { i=0 j++ if (j > num2) { j=0 k++ } } if (k > num3) break } Sort ans, N Loop, parse, ans, `n, `r { if (A_index > last) break if (A_index < first) continue Output = %Output%`n%A_LoopField% } return Output }
#include <iostream> #include <vector> class Ham { private: std::vector<unsigned int> _H, _hp, _hv, _x; public: bool operator!=(const Ham& other) const {return true;} Ham begin() const {return *this;} Ham end() const {return *this;} unsigned int operator*() const {return _x.back();} Ham(const std::vector<unsigned int> &pfs):_H(pfs),_hp(pfs.size(),0),_hv({pfs}),_x({1}){} const Ham& operator++() { for (int i=0; i<_H.size(); i++) for (;_hv[i]<=_x.back();_hv[i]=_x[++_hp[i]]*_H[i]); _x.push_back(_hv[0]); for (int i=1; i<_H.size(); i++) if (_hv[i]<_x.back()) _x.back()=_hv[i]; return *this; } };
Rewrite the snippet below in Java so it works the same as the original AutoHotKey code.
SetBatchLines, -1 Msgbox % hamming(1,20) Msgbox % hamming(1690) return hamming(first,last=0) { if (first < 1) ans=ERROR if (last = 0) last := first i:=0, j:=0, k:=0 num1 := ceil((last * 20)**(1/3)) num2 := ceil(num1 * ln(2)/ln(3)) num3 := ceil(num1 * ln(2)/ln(5)) loop { H := (2**i) * (3**j) * (5**k) if (H > 0) ans = %H%`n%ans% i++ if (i > num1) { i=0 j++ if (j > num2) { j=0 k++ } } if (k > num3) break } Sort ans, N Loop, parse, ans, `n, `r { if (A_index > last) break if (A_index < first) continue Output = %Output%`n%A_LoopField% } return Output }
import java.math.BigInteger; import java.util.PriorityQueue; final class Hamming { private static BigInteger THREE = BigInteger.valueOf(3); private static BigInteger FIVE = BigInteger.valueOf(5); private static void updateFrontier(BigInteger x, PriorityQueue<BigInteger> pq) { pq.offer(x.shiftLeft(1)); pq.offer(x.multiply(THREE)); pq.offer(x.multiply(FIVE)); } public static BigInteger hamming(int n) { if (n <= 0) throw new IllegalArgumentException("Invalid parameter"); PriorityQueue<BigInteger> frontier = new PriorityQueue<BigInteger>(); updateFrontier(BigInteger.ONE, frontier); BigInteger lowest = BigInteger.ONE; for (int i = 1; i < n; i++) { lowest = frontier.poll(); while (frontier.peek().equals(lowest)) frontier.poll(); updateFrontier(lowest, frontier); } return lowest; } public static void main(String[] args) { System.out.print("Hamming(1 .. 20) ="); for (int i = 1; i < 21; i++) System.out.print(" " + hamming(i)); System.out.println("\nHamming(1691) = " + hamming(1691)); System.out.println("Hamming(1000000) = " + hamming(1000000)); } }
Convert this AutoHotKey block to Python, preserving its control flow and logic.
SetBatchLines, -1 Msgbox % hamming(1,20) Msgbox % hamming(1690) return hamming(first,last=0) { if (first < 1) ans=ERROR if (last = 0) last := first i:=0, j:=0, k:=0 num1 := ceil((last * 20)**(1/3)) num2 := ceil(num1 * ln(2)/ln(3)) num3 := ceil(num1 * ln(2)/ln(5)) loop { H := (2**i) * (3**j) * (5**k) if (H > 0) ans = %H%`n%ans% i++ if (i > num1) { i=0 j++ if (j > num2) { j=0 k++ } } if (k > num3) break } Sort ans, N Loop, parse, ans, `n, `r { if (A_index > last) break if (A_index < first) continue Output = %Output%`n%A_LoopField% } return Output }
from itertools import islice def hamming2(): h = 1 _h=[h] multipliers = (2, 3, 5) multindeces = [0 for i in multipliers] multvalues = [x * _h[i] for x,i in zip(multipliers, multindeces)] yield h while True: h = min(multvalues) _h.append(h) for (n,(v,x,i)) in enumerate(zip(multvalues, multipliers, multindeces)): if v == h: i += 1 multindeces[n] = i multvalues[n] = x * _h[i] mini = min(multindeces) if mini >= 1000: del _h[:mini] multindeces = [i - mini for i in multindeces] yield h
Write a version of this AutoHotKey function in VB with identical behavior.
SetBatchLines, -1 Msgbox % hamming(1,20) Msgbox % hamming(1690) return hamming(first,last=0) { if (first < 1) ans=ERROR if (last = 0) last := first i:=0, j:=0, k:=0 num1 := ceil((last * 20)**(1/3)) num2 := ceil(num1 * ln(2)/ln(3)) num3 := ceil(num1 * ln(2)/ln(5)) loop { H := (2**i) * (3**j) * (5**k) if (H > 0) ans = %H%`n%ans% i++ if (i > num1) { i=0 j++ if (j > num2) { j=0 k++ } } if (k > num3) break } Sort ans, N Loop, parse, ans, `n, `r { if (A_index > last) break if (A_index < first) continue Output = %Output%`n%A_LoopField% } return Output }
Public a As Double, b As Double, c As Double, d As Double Public p As Double, q As Double, r As Double Public cnt() As Integer Public hn(2) As Integer Public Declare Function GetTickCount Lib "kernel32.dll" () As Long Private Function log10(x As Double) As Double log10 = WorksheetFunction.log10(x) End Function Private Function pow(x As Variant, y As Variant) As Double pow = WorksheetFunction.Power(x, y) End Function Private Sub init(N As Long) Dim k As Double k = log10(2) * log10(3) * log10(5) * 6 * N k = pow(k, 1 / 3) a = k / log10(2) b = k / log10(3) c = k / log10(5) p = -b * c q = -a * c r = -a * b End Sub Private Function x_given_y_z(y As Integer, z As Integer) As Double x_given_y_z = -(q * y + r * z + a * b * c) / p End Function Private Function cmp(i As Integer, j As Integer, k As Integer, gn() As Integer) As Boolean cmp = (i * log10(2) + j * log10(3) + k * log10(5)) > (gn(0) * log10(2) + gn(1) * log10(3) + gn(2) * log10(5)) End Function Private Function count(N As Long, step As Integer) As Long Dim M As Long, j As Integer, k As Integer If step = 2 Then ReDim cnt(0 To Int(b) + 1, 0 To Int(c) + 1) M = 0: j = 0: k = 0 Do While -c * j - b * k + b * c > 0 Do While -c * j - b * k + b * c > 0 Select Case step Case 1: M = M + Int(x_given_y_z(j, k)) Case 2 cnt(j, k) = Int(x_given_y_z(j, k)) Case 3 If Int(x_given_y_z(j, k)) < cnt(j, k) Then If cmp(cnt(j, k), j, k, hn) Then hn(0) = cnt(j, k) hn(1) = j hn(2) = k End If End If End Select k = k + 1 Loop k = 0 j = j + 1 Loop count = M End Function Private Sub list_upto(ByVal N As Integer) Dim count As Integer count = 1 Dim hn As Integer hn = 1 Do While count < N k = hn Do While k Mod 2 = 0 k = k / 2 Loop Do While k Mod 3 = 0 k = k / 3 Loop Do While k Mod 5 = 0 k = k / 5 Loop If k = 1 Then Debug.Print hn; " "; count = count + 1 End If hn = hn + 1 Loop Debug.Print End Sub Private Function find_seed(N As Long, step As Integer) As Long Dim initial As Long, total As Long initial = N Do init initial total = count(initial, step) initial = initial + N - total Loop Until total = N find_seed = initial End Function Private Sub find_hn(N As Long) Dim fs As Long, err As Long fs = find_seed(N, 1) init fs err = count(fs, 2) init fs - 1 err = count(fs - 1, 3) Debug.Print "2^" & hn(0) - 1; " * 3^" & hn(1); " * 5^" & hn(2); "="; If N < 1692 Then Debug.Print pow(2, hn(0) - 1) * pow(3, hn(1)) * pow(5, hn(2)) Else Debug.Print If N <= 1000000 Then If hn(0) - 1 < hn(2) Then Debug.Print CDec(pow(3, hn(1))) * CDec(pow(5, hn(2) - hn(0) + 1)) & String$(hn(0) - 1, "0") Else Debug.Print CDec(pow(2, hn(0) - 1 - hn(2))) * CDec(pow(3, hn(1))) & String$(hn(2), "0") End If End If End If End Sub Public Sub main() Dim start_time As Long, finis_time As Long start_time = GetTickCount Debug.Print "The first twenty Hamming numbers are:" list_upto 20 Debug.Print "Hamming number 1691 is: "; find_hn 1691 Debug.Print "Hamming number 1000000 is: "; find_hn 1000000 finis_time = GetTickCount Debug.Print "Execution time"; (finis_time - start_time); " milliseconds" End Sub
Write the same algorithm in Go as shown in this AutoHotKey implementation.
SetBatchLines, -1 Msgbox % hamming(1,20) Msgbox % hamming(1690) return hamming(first,last=0) { if (first < 1) ans=ERROR if (last = 0) last := first i:=0, j:=0, k:=0 num1 := ceil((last * 20)**(1/3)) num2 := ceil(num1 * ln(2)/ln(3)) num3 := ceil(num1 * ln(2)/ln(5)) loop { H := (2**i) * (3**j) * (5**k) if (H > 0) ans = %H%`n%ans% i++ if (i > num1) { i=0 j++ if (j > num2) { j=0 k++ } } if (k > num3) break } Sort ans, N Loop, parse, ans, `n, `r { if (A_index > last) break if (A_index < first) continue Output = %Output%`n%A_LoopField% } return Output }
package main import ( "fmt" "math/big" ) func min(a, b *big.Int) *big.Int { if a.Cmp(b) < 0 { return a } return b } func hamming(n int) []*big.Int { h := make([]*big.Int, n) h[0] = big.NewInt(1) two, three, five := big.NewInt(2), big.NewInt(3), big.NewInt(5) next2, next3, next5 := big.NewInt(2), big.NewInt(3), big.NewInt(5) i, j, k := 0, 0, 0 for m := 1; m < len(h); m++ { h[m] = new(big.Int).Set(min(next2, min(next3, next5))) if h[m].Cmp(next2) == 0 { i++; next2.Mul( two, h[i]) } if h[m].Cmp(next3) == 0 { j++; next3.Mul(three, h[j]) } if h[m].Cmp(next5) == 0 { k++; next5.Mul( five, h[k]) } } return h } func main() { h := hamming(1e6) fmt.Println(h[:20]) fmt.Println(h[1691-1]) fmt.Println(h[len(h)-1]) }
Convert this AWK snippet to C and keep its semantics consistent.
BEGIN { for (i=1; i<=20; i++) { printf("%d ",hamming(i)) } printf("\n1691: %d\n",hamming(1691)) printf("\n1000000: %d\n",hamming(1000000)) exit(0) } function hamming(limit, h,i,j,k,n,x2,x3,x5) { h[0] = 1 x2 = 2 x3 = 3 x5 = 5 for (n=1; n<=limit; n++) { h[n] = min(x2,min(x3,x5)) if (h[n] == x2) { x2 = 2 * h[++i] } if (h[n] == x3) { x3 = 3 * h[++j] } if (h[n] == x5) { x5 = 5 * h[++k] } } return(h[limit-1]) } function min(x,y) { return((x < y) ? x : y) }
#include <stdio.h> #include <stdlib.h> typedef unsigned long long ham; size_t alloc = 0, n = 1; ham *q = 0; void qpush(ham h) { int i, j; if (alloc <= n) { alloc = alloc ? alloc * 2 : 16; q = realloc(q, sizeof(ham) * alloc); } for (i = n++; (j = i/2) && q[j] > h; q[i] = q[j], i = j); q[i] = h; } ham qpop() { int i, j; ham r, t; for (r = q[1]; n > 1 && r == q[1]; q[i] = t) { for (i = 1, t = q[--n]; (j = i * 2) < n;) { if (j + 1 < n && q[j] > q[j+1]) j++; if (t <= q[j]) break; q[i] = q[j], i = j; } } return r; } int main() { int i; ham h; for (qpush(i = 1); i <= 1691; i++) { h = qpop(); qpush(h * 2); qpush(h * 3); qpush(h * 5); if (i <= 20 || i == 1691) printf("%6d: %llu\n", i, h); } return 0; }
Keep all operations the same but rewrite the snippet in C#.
BEGIN { for (i=1; i<=20; i++) { printf("%d ",hamming(i)) } printf("\n1691: %d\n",hamming(1691)) printf("\n1000000: %d\n",hamming(1000000)) exit(0) } function hamming(limit, h,i,j,k,n,x2,x3,x5) { h[0] = 1 x2 = 2 x3 = 3 x5 = 5 for (n=1; n<=limit; n++) { h[n] = min(x2,min(x3,x5)) if (h[n] == x2) { x2 = 2 * h[++i] } if (h[n] == x3) { x3 = 3 * h[++j] } if (h[n] == x5) { x5 = 5 * h[++k] } } return(h[limit-1]) } function min(x,y) { return((x < y) ? x : y) }
using System; using System.Numerics; using System.Linq; namespace Hamming { class MainClass { public static BigInteger Hamming(int n) { BigInteger two = 2, three = 3, five = 5; var h = new BigInteger[n]; h[0] = 1; BigInteger x2 = 2, x3 = 3, x5 = 5; int i = 0, j = 0, k = 0; for (int index = 1; index < n; index++) { h[index] = BigInteger.Min(x2, BigInteger.Min(x3, x5)); if (h[index] == x2) x2 = two * h[++i]; if (h[index] == x3) x3 = three * h[++j]; if (h[index] == x5) x5 = five * h[++k]; } return h[n - 1]; } public static void Main(string[] args) { Console.WriteLine(string.Join(" ", Enumerable.Range(1, 20).ToList().Select(x => Hamming(x)))); Console.WriteLine(Hamming(1691)); Console.WriteLine(Hamming(1000000)); } } }