Commit before breaking everything
[ipdf/code.git] / src / paranoidnumber.cpp
index 4769c46..82c7ba4 100644 (file)
@@ -9,12 +9,14 @@
 using namespace std;
 namespace IPDF
 {
-int64_t ParanoidNumber::g_count = 0;
 
 
+#ifdef PARANOID_USE_ARENA
+ParanoidNumber::Arena ParanoidNumber::g_arena;
+#endif //PARANOID_USE_ARENA
+
 ParanoidNumber::~ParanoidNumber()
 {
-       g_count--;
        for (int i = 0; i < NOP; ++i)
        {
                for (auto n : m_next[i])
@@ -22,9 +24,15 @@ ParanoidNumber::~ParanoidNumber()
        }
 }
 
-ParanoidNumber::ParanoidNumber(const char * str) : m_value(0)
+ParanoidNumber::ParanoidNumber(const string & str) : m_value(0), m_next()
 {
-       Construct();
+       #ifdef PARANOID_SIZE_LIMIT
+               m_size = 0;
+       #endif
+       #ifdef PARANOID_CACHE_RESULTS
+       m_cached_result = NAN;
+       #endif
+       
        int dp = 0;
        int end = 0;
        while (str[dp] != '\0' && str[dp] != '.')
@@ -54,12 +62,29 @@ ParanoidNumber::ParanoidNumber(const char * str) : m_value(0)
 
 ParanoidNumber & ParanoidNumber::operator=(const ParanoidNumber & a)
 {
+       //assert(this != NULL);
+       
+       #ifdef PARANOID_SIZE_LIMIT
+               m_size = a.m_size;
+       #endif
+       
        m_value = a.m_value;
+       #ifdef PARANOID_CACHE_RESULT
+       m_cached_result = a.m_cached_result;
+       #endif
        for (int i = 0; i < NOP; ++i)
        {
+               for (auto n : m_next[i])
+                       delete n;
+               m_next[i].clear();
+               for (auto n : a.m_next[i])
+                       m_next[i].push_back(new ParanoidNumber(*n));
+       }
+               /*
                for (unsigned j = 0; j < m_next[i].size() && j < a.m_next[i].size(); ++j)
                {
-                       m_next[i][j]->operator=(*(a.m_next[i][j]));
+                       if (a.m_next[i][j] != NULL)
+                               m_next[i][j]->operator=(*(a.m_next[i][j]));
                }
                
                for (unsigned j = a.m_next[i].size(); j < m_next[i].size(); ++j)
@@ -67,13 +92,16 @@ ParanoidNumber & ParanoidNumber::operator=(const ParanoidNumber & a)
                        delete m_next[i][j];
                }
                m_next[i].resize(a.m_next[i].size());
-       }       
+               */
+       //}     
        return *this;
 }
 
 
 string ParanoidNumber::Str() const
 {
+       
+       //assert(this != NULL);
        string result("");
        stringstream s;
        s << (double)m_value;
@@ -119,6 +147,8 @@ string ParanoidNumber::Str() const
 template <>
 bool TrustingOp<float>(float & a, const float & b, Optype op)
 {
+
+       
        feclearexcept(FE_ALL_EXCEPT);
        switch (op)
        {
@@ -132,6 +162,12 @@ bool TrustingOp<float>(float & a, const float & b, Optype op)
                        a *= b;
                        break;
                case DIVIDE:
+                       if (b == 0)
+                       {
+                               a = (a >= 0) ? INFINITY : -INFINITY;
+                               return false;
+                       }
+                       
                        a /= b;
                        break;
                case NOP:
@@ -156,6 +192,45 @@ bool TrustingOp<double>(double & a, const double & b, Optype op)
                        a *= b;
                        break;
                case DIVIDE:
+                       if (b == 0)
+                       {
+                               a = (a >= 0) ? INFINITY : -INFINITY;
+                               return false;
+                       }
+                       a /= b;
+                       break;
+               case NOP:
+                       break;
+       }
+       return !fetestexcept(FE_ALL_EXCEPT);
+}
+
+
+
+template <>
+bool TrustingOp<long double>(long double & a, const long double & b, Optype op)
+{
+
+       
+       feclearexcept(FE_ALL_EXCEPT);
+       switch (op)
+       {
+               case ADD:
+                       a += b;
+                       break;
+               case SUBTRACT:
+                       a -= b;
+                       break;
+               case MULTIPLY:
+                       a *= b;
+                       break;
+               case DIVIDE:
+                       if (b == 0)
+                       {
+                               a = (a >= 0) ? INFINITY : -INFINITY;
+                               return false;
+                       }
+                       
                        a /= b;
                        break;
                case NOP:
@@ -164,6 +239,7 @@ bool TrustingOp<double>(double & a, const double & b, Optype op)
        return !fetestexcept(FE_ALL_EXCEPT);
 }
 
+
 template <>
 bool TrustingOp<int8_t>(int8_t & a, const int8_t & b, Optype op)
 {
@@ -195,9 +271,50 @@ bool TrustingOp<int8_t>(int8_t & a, const int8_t & b, Optype op)
 }
 
 
+ParanoidNumber & ParanoidNumber::operator+=(const digit_t & a)
+{
+       
+       //assert(this != NULL);
+       delete Operation(new ParanoidNumber(a), ADD);
+       Simplify(ADD);
+       Simplify(SUBTRACT);
+       return *this;
+}
+
+
+ParanoidNumber & ParanoidNumber::operator-=(const digit_t & a)
+{
+       delete Operation(new ParanoidNumber(a), SUBTRACT);
+       Simplify(SUBTRACT);
+       Simplify(ADD);
+       return *this;
+}
+
+ParanoidNumber & ParanoidNumber::operator*=(const digit_t & a)
+{
+       delete Operation(new ParanoidNumber(a), MULTIPLY);
+       Simplify(MULTIPLY);
+       Simplify(DIVIDE);       
+       return *this;
+}
+
+
+ParanoidNumber & ParanoidNumber::operator/=(const digit_t & a)
+{
+       delete Operation(new ParanoidNumber(a), DIVIDE);
+       Simplify(MULTIPLY);
+       Simplify(DIVIDE);
+       return *this;
+}
+
+
 ParanoidNumber & ParanoidNumber::operator+=(const ParanoidNumber & a)
 {
+       
+       //assert(this != NULL);
        delete Operation(new ParanoidNumber(a), ADD);
+       Simplify(ADD);
+       Simplify(SUBTRACT);
        return *this;
 }
 
@@ -205,12 +322,16 @@ ParanoidNumber & ParanoidNumber::operator+=(const ParanoidNumber & a)
 ParanoidNumber & ParanoidNumber::operator-=(const ParanoidNumber & a)
 {
        delete Operation(new ParanoidNumber(a), SUBTRACT);
+       Simplify(SUBTRACT);
+       Simplify(ADD);
        return *this;
 }
 
 ParanoidNumber & ParanoidNumber::operator*=(const ParanoidNumber & a)
 {
        delete Operation(new ParanoidNumber(a), MULTIPLY);
+       Simplify(MULTIPLY);
+       Simplify(DIVIDE);       
        return *this;
 }
 
@@ -218,13 +339,45 @@ ParanoidNumber & ParanoidNumber::operator*=(const ParanoidNumber & a)
 ParanoidNumber & ParanoidNumber::operator/=(const ParanoidNumber & a)
 {
        delete Operation(new ParanoidNumber(a), DIVIDE);
+       Simplify(MULTIPLY);
+       Simplify(DIVIDE);
+       return *this;
+}
+
+ParanoidNumber & ParanoidNumber::operator=(const digit_t & a)
+{
+       for (int i = 0; i < NOP; ++i)
+       {
+               for (auto n : m_next[i])
+                       delete n;
+       }
+       m_value = a;
+       #ifdef PARANOID_CACHE_RESULT
+       m_cached_result = a;
+       #endif
        return *this;
 }
 
 // a + b
 ParanoidNumber * ParanoidNumber::OperationTerm(ParanoidNumber * b, Optype op, ParanoidNumber ** merge_point, Optype * merge_op)
 {
-                       
+       ////assert(b->SanityCheck());
+       #ifdef PARANOID_CACHE_RESULTS
+       m_cached_result = NAN;
+       #endif
+       #ifdef PARANOID_SIZE_LIMIT
+               if (m_size > PARANOID_SIZE_LIMIT)
+               {
+                       if (op == ADD)
+                               m_value += b->Digit();
+                       else
+                               m_value -= b->Digit();
+                       return b;
+               }
+               //Debug("At size limit %d", m_size);
+       #endif 
+       
+
        if (Floating() && m_value == 0) // 0 + b = b
        {
                m_value = b->m_value;
@@ -239,6 +392,8 @@ ParanoidNumber * ParanoidNumber::OperationTerm(ParanoidNumber * b, Optype op, Pa
                        m_next[i] = b->m_next[i];
                        b->m_next[i].clear();
                }
+               
+               //assert(SanityCheck());
                return b;
        }
        if (b->Floating() && b->m_value == 0) // a + 0 = a
@@ -246,32 +401,33 @@ ParanoidNumber * ParanoidNumber::OperationTerm(ParanoidNumber * b, Optype op, Pa
                
 
        
-       if (NoFactors() && b->NoFactors())
+       if ((NoFactors() && b->NoFactors())
+               || (GetFactors() == b->GetFactors()))
        {
                if (ParanoidOp<digit_t>(m_value, b->m_value, op))
                {
                        Optype addop = (op == ADD) ? ADD : SUBTRACT;
                        for (auto add : b->m_next[ADD])
                        {
-                               delete OperationTerm(add, addop);
+                               delete (OperationTerm(add, addop));
                        }
                        Optype subop = (op == ADD) ? SUBTRACT : ADD;
                        for (auto sub : b->m_next[SUBTRACT])
-                               delete OperationTerm(sub, subop);
+                               delete (OperationTerm(sub, subop));
                                
                        b->m_next[ADD].clear();
                        b->m_next[SUBTRACT].clear();
+                       //assert(SanityCheck());
                        return b;
                }
        }
 
-
        
        
        bool parent = (merge_point == NULL);
        ParanoidNumber * merge = this;
        Optype mop = op;
-       assert(mop != NOP); // silence compiler warning
+       //assert(mop != NOP); // silence compiler warning
        if (parent)
        {
                merge_point = &merge;
@@ -295,13 +451,19 @@ ParanoidNumber * ParanoidNumber::OperationTerm(ParanoidNumber * b, Optype op, Pa
        for (auto prev : m_next[invop])
        {
                if (prev->OperationTerm(b, rev, merge_point, merge_op) == b)
+               {
+                       //assert(SanityCheck());
                        return b;
+               }
                
        }
        for (auto next : m_next[op])
        {
                if (next->OperationTerm(b, fwd, merge_point, merge_op) == b)
+               {
+                       //assert(SanityCheck());
                        return b;
+               }
        }
        
 
@@ -309,7 +471,11 @@ ParanoidNumber * ParanoidNumber::OperationTerm(ParanoidNumber * b, Optype op, Pa
        
        if (parent)
        {
-               merge->m_next[*merge_op].push_back(b);
+               //merge->m_next[*merge_op].push_back(b);
+               m_next[op].push_back(b);
+               #ifdef PARANOID_SIZE_LIMIT
+                       m_size += 1+b->m_size;
+               #endif  
        }
        else
        {
@@ -319,12 +485,31 @@ ParanoidNumber * ParanoidNumber::OperationTerm(ParanoidNumber * b, Optype op, Pa
                        *merge_op = op;
                }
        }
+
+       //assert(SanityCheck());
+
        return NULL;
 }
 
 ParanoidNumber * ParanoidNumber::OperationFactor(ParanoidNumber * b, Optype op, ParanoidNumber ** merge_point, Optype * merge_op)
 {
-       
+       //assert(SanityCheck());
+       //assert(b->SanityCheck());
+       #ifdef PARANOID_CACHE_RESULTS
+       m_cached_result = NAN;
+       #endif
+       #ifdef PARANOID_SIZE_LIMIT
+               if (m_size > PARANOID_SIZE_LIMIT)
+               {
+                       if (op == MULTIPLY)
+                               m_value *= b->Digit();
+                       else
+                               m_value /= b->Digit();
+                       //Debug("At size limit %d", m_size);
+                       return b;
+               }
+       #endif  
+
        if (Floating() && m_value == 0)
        {
                return b;
@@ -336,14 +521,17 @@ ParanoidNumber * ParanoidNumber::OperationFactor(ParanoidNumber * b, Optype op,
                for (int i = 0; i < NOP; ++i)
                {
                        for (auto n : m_next[i])
-                               delete n;
+                               delete (n);
                        m_next[i].clear();
                        swap(m_next[i], b->m_next[i]);
                }
+               //assert(SanityCheck());
                return b;
        }
        if (b->Floating() && b->m_value == 1)
                return b;
+       
+
                
        if (NoTerms() && b->NoTerms())
        {
@@ -352,11 +540,11 @@ ParanoidNumber * ParanoidNumber::OperationFactor(ParanoidNumber * b, Optype op,
                        Optype mulop = (op == MULTIPLY) ? MULTIPLY : DIVIDE;
                        for (auto mul : b->m_next[MULTIPLY])
                        {
-                               delete OperationFactor(mul, mulop);
+                               delete(OperationFactor(mul, mulop));
                        }
                        Optype divop = (op == MULTIPLY) ? DIVIDE : MULTIPLY;
                        for (auto div : b->m_next[DIVIDE])
-                               delete OperationFactor(div, divop);
+                               delete(OperationFactor(div, divop));
                                
                        b->m_next[DIVIDE].clear();
                        b->m_next[MULTIPLY].clear();
@@ -388,23 +576,17 @@ ParanoidNumber * ParanoidNumber::OperationFactor(ParanoidNumber * b, Optype op,
                rev = DIVIDE;
        }
 
-       ParanoidNumber * cpy_b = NULL;
-       
-       if (m_next[ADD].size() > 0 || m_next[SUBTRACT].size() > 0)
-       {
-               cpy_b = new ParanoidNumber(*b);
-       }
-       
+       ParanoidNumber * cpy_b = new ParanoidNumber(*b);
        for (auto prev : m_next[invop])
        {
                if (prev->OperationFactor(b, rev, merge_point, merge_op) == b)
                {
                        for (auto add : m_next[ADD])
-                               delete add->OperationFactor(new ParanoidNumber(*cpy_b), op);
+                               delete(add->OperationFactor(new ParanoidNumber(*cpy_b), op));
                        for (auto sub : m_next[SUBTRACT])
-                               delete sub->OperationFactor(new ParanoidNumber(*cpy_b), op);
+                               delete(sub->OperationFactor(new ParanoidNumber(*cpy_b), op));
                                
-                       delete cpy_b;
+                       delete(cpy_b);
                        return b;
                }
        }
@@ -413,22 +595,35 @@ ParanoidNumber * ParanoidNumber::OperationFactor(ParanoidNumber * b, Optype op,
                if (next->OperationFactor(b, fwd, merge_point, merge_op) == b)
                {
                        for (auto add : m_next[ADD])
-                               delete add->OperationFactor(new ParanoidNumber(*cpy_b), op);
+                       {
+                               delete(add->OperationFactor(new ParanoidNumber(*cpy_b), op));
+                       }
                        for (auto sub : m_next[SUBTRACT])
-                               delete sub->OperationFactor(new ParanoidNumber(*cpy_b), op);
-                       delete cpy_b;
+                       {
+                               delete(sub->OperationFactor(new ParanoidNumber(*cpy_b), op));
+                       }
+                       delete(cpy_b);
                        return b;
                }
        }
        
        if (parent)
        {
+               //assert(b != NULL);
                m_next[op].push_back(b);
                for (auto add : m_next[ADD])
-                       delete add->OperationFactor(new ParanoidNumber(*cpy_b), op);
+                       delete(add->OperationFactor(new ParanoidNumber(*cpy_b), op));
                for (auto sub : m_next[SUBTRACT])
-                       delete sub->OperationFactor(new ParanoidNumber(*cpy_b), op);
+                       delete(sub->OperationFactor(new ParanoidNumber(*cpy_b), op));
+                       
+               #ifdef PARANOID_SIZE_LIMIT
+                       m_size += 1+b->m_size;
+               #endif  
        }
+       //assert(SanityCheck());
+
+
+       
        return NULL;    
 }
 
@@ -473,20 +668,238 @@ string ParanoidNumber::PStr() const
 
 bool ParanoidNumber::Simplify(Optype op)
 {
-       vector<ParanoidNumber*> next(0);
+       
+       if (Floating())
+               return false;
+               
+       //assert(SanityCheck());
+       vector<ParanoidNumber*> next;
+       next.clear();
        swap(m_next[op], next);
+       m_next[op].clear();
+       //assert(m_next[op].size() == 0);
+       //assert(SanityCheck());
+       Optype fwd = op;
+       if (op == DIVIDE)
+               fwd = MULTIPLY;
+       else if (op == SUBTRACT)
+               fwd = ADD;
+               
+               
+       vector<ParanoidNumber*> hold[2];
+       if (op == MULTIPLY || op == DIVIDE)
+       {
+               swap(m_next[ADD], hold[0]);
+               swap(m_next[SUBTRACT], hold[1]);
+       }
+       
+       for (vector<ParanoidNumber*>::iterator n = next.begin(); n != next.end(); ++n)
+       {
+               if (*n == NULL)
+                       continue;
+               for (vector<ParanoidNumber*>::iterator m = n; m != next.end(); ++m)
+               {
+                       if ((*m) == (*n))
+                               continue;
+                       if (*m == NULL)
+                               continue;
+                               
+                       ParanoidNumber * parent = this;
+                       Optype mop = op;
+                       ParanoidNumber * result = (*n)->Operation(*m, fwd, &parent, &mop);
+                       if (result != NULL)
+                       {
+                               #ifdef PARANOID_SIZE_LIMIT
+                                       m_size -= (1+result->m_size);
+                               #endif
+                               *m = NULL;
+                               delete(result);
+                       }
+               }
+       }
+       
+       
+       
        for (auto n : next)
        {
-               ParanoidNumber * result = Operation(n, op);
-               if (result != NULL)
-                       delete result;
-               else
-                       m_next[op].push_back(n);
+               if (n != NULL)
+               {               
+                       #ifdef PARANOID_SIZE_LIMIT
+                               if (Operation(n, op) == n)
+                               {
+                                       m_size -= (1+n->m_size);
+                                       delete n;
+                               }
+                       #else   
+                               delete(Operation(n, op));
+                       #endif 
+               }
        }
+       
+       if (op == MULTIPLY || op == DIVIDE)
+       {
+               swap(m_next[ADD], hold[0]);
+               swap(m_next[SUBTRACT], hold[1]);
+       }
+       
+       set<ParanoidNumber*> s;
+       //if (!SanityCheck(s))
+       //{
+       //      Error("Simplify broke Sanity");
+       //}
        return (next.size() > m_next[op].size());
 }
 
+bool ParanoidNumber::FullSimplify()
+{
+       bool result = false;
+       result |= Simplify(MULTIPLY);
+       result |= Simplify(DIVIDE);
+       result |= Simplify(ADD);
+       result |= Simplify(SUBTRACT);
+       return result;
+}
+
+ParanoidNumber::digit_t ParanoidNumber::Digit() const
+{
+
+       // Get around the absurd requirement that const correctness be observed.
+       #ifdef PARANOID_CACHE_RESULTS
+       digit_t & result = ((ParanoidNumber*)(this))->m_cached_result;
+       
+       if (!isnan(float(result))) // le sigh ambiguous function compiler warnings
+               return result;
+       #else
+               digit_t result;
+       #endif
+       result = m_value;
+       for (auto mul : m_next[MULTIPLY])
+       {
+               result *= mul->Digit();
+       }
+       for (auto div : m_next[DIVIDE])
+       {
+               result /= div->Digit();
+       }
+       for (auto add : m_next[ADD])
+               result += add->Digit();
+       for (auto sub : m_next[SUBTRACT])
+               result -= sub->Digit();
+       return result;
+               
+}
+
+ParanoidNumber::digit_t ParanoidNumber::GetFactors() const
+{
+       digit_t value = 1;
+       for (auto mul : m_next[MULTIPLY])
+               value *= mul->Digit();
+       for (auto div : m_next[DIVIDE])
+               value /= div->Digit();
+       return value;
+}
+
 
+ParanoidNumber::digit_t ParanoidNumber::GetTerms() const
+{
+       digit_t value = 0;
+       for (auto add : m_next[ADD])
+               value += add->Digit();
+       for (auto sub : m_next[SUBTRACT])
+               value -= sub->Digit();
+       return value;
+}
 
+bool ParanoidNumber::SanityCheck(set<ParanoidNumber*> & visited) const
+{
+       if (this == NULL)
+       {
+               Error("NULL pointer in tree");
+               return false;
+       }
+               
+       if (visited.find((ParanoidNumber*)this) != visited.end())
+       {
+               Error("I think I've seen this tree before...");
+               return false;
+       }
+       
+       visited.insert((ParanoidNumber*)this);
+               
+       for (auto add : m_next[ADD])
+       {
+               if (!add->SanityCheck(visited))
+                       return false;
+       }
+       for (auto sub : m_next[SUBTRACT])
+       {
+               if (!sub->SanityCheck(visited))
+                       return false;
+       }
+       for (auto mul : m_next[MULTIPLY])
+       {
+               if (!mul->SanityCheck(visited))
+                       return false;
+       }
+       
+       for (auto div : m_next[DIVIDE])
+       {
+               if (!div->SanityCheck(visited))
+                       return false;
+       }
+       return true;
+}
+
+#ifdef PARANOID_USE_ARENA
+
+void * ParanoidNumber::operator new(size_t s)
+{
+       return g_arena.allocate(s);
+}
+
+void ParanoidNumber::operator delete(void * p)
+{
+       g_arena.deallocate(p);
+}
+
+ParanoidNumber::Arena::Arena(int64_t block_size) : m_block_size(block_size), m_spare(NULL)
+{
+       m_blocks.push_back({malloc(block_size*sizeof(ParanoidNumber)),0});
+}
+
+ParanoidNumber::Arena::~Arena()
+{
+       for (auto block : m_blocks)
+       {
+               free(block.memory);
+       }
+       m_blocks.clear();
+}
+
+void * ParanoidNumber::Arena::allocate(size_t s)
+{
+       if (m_spare != NULL)
+       {
+               void * result = m_spare;
+               m_spare = NULL;
+               return result;
+       }
+               
+       Block & b = m_blocks.back();
+       void * result = (ParanoidNumber*)(b.memory) + (b.used++);
+       if (b.used >= m_block_size)
+       {
+               m_block_size *= 2;
+               Debug("Add block of size %d", m_block_size);
+               m_blocks.push_back({malloc(m_block_size*sizeof(ParanoidNumber)), 0});
+       }
+       return result;
+}
+
+void ParanoidNumber::Arena::deallocate(void * p)
+{
+       m_spare = p;
+}
+#endif //PARANOID_USE_ARENA
 
 }

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