/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */

/*
 *  Main authors:
 *     Guido Tack <guido.tack@monash.edu>
 */

/* This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */

#include <minizinc/ast.hh>
#include <minizinc/astexception.hh>
#include <minizinc/astiterator.hh>
#include <minizinc/builtins.hh>
#include <minizinc/config.hh>
#include <minizinc/eval_par.hh>
#include <minizinc/file_utils.hh>
#include <minizinc/flatten_internal.hh>
#include <minizinc/output.hh>
#include <minizinc/prettyprinter.hh>
#include <minizinc/support/regex.hh>

#include <climits>
#include <cmath>
#include <iomanip>
#include <random>

namespace MiniZinc {

void rb(EnvI& env, Model* m, const ASTString& id, const std::vector<Type>& t,
        FunctionI::builtin_e b, bool fromGlobals = false) {
  FunctionI* fi = m->matchFn(env, id, t, false);
  if (fi) {
    fi->_builtins.e = b;
  } else if (!fromGlobals) {
    throw InternalError("no definition found for builtin " + id.str());
  }
}
void rb(EnvI& env, Model* m, const ASTString& id, const std::vector<Type>& t,
        FunctionI::builtin_f b, bool fromGlobals = false) {
  FunctionI* fi = m->matchFn(env, id, t, false);
  if (fi) {
    fi->_builtins.f = b;
  } else if (!fromGlobals) {
    throw InternalError("no definition found for builtin " + id.str());
  }
}
void rb(EnvI& env, Model* m, const ASTString& id, const std::vector<Type>& t,
        FunctionI::builtin_i b, bool fromGlobals = false) {
  FunctionI* fi = m->matchFn(env, id, t, false);
  if (fi) {
    fi->_builtins.i = b;
  } else if (!fromGlobals) {
    throw InternalError("no definition found for builtin " + id.str());
  }
}
void rb(EnvI& env, Model* m, const ASTString& id, const std::vector<Type>& t,
        FunctionI::builtin_b b, bool fromGlobals = false) {
  FunctionI* fi = m->matchFn(env, id, t, false);
  if (fi) {
    fi->_builtins.b = b;
  } else if (!fromGlobals) {
    throw InternalError("no definition found for builtin " + id.str());
  }
}
void rb(EnvI& env, Model* m, const ASTString& id, const std::vector<Type>& t,
        FunctionI::builtin_s b, bool fromGlobals = false) {
  FunctionI* fi = m->matchFn(env, id, t, false);
  if (fi) {
    fi->_builtins.s = b;
  } else if (!fromGlobals) {
    throw InternalError("no definition found for builtin " + id.str());
  }
}
void rb(EnvI& env, Model* m, const ASTString& id, const std::vector<Type>& t,
        FunctionI::builtin_str b, bool fromGlobals = false) {
  FunctionI* fi = m->matchFn(env, id, t, false);
  if (fi) {
    fi->_builtins.str = b;
  } else if (!fromGlobals) {
    throw InternalError("no definition found for builtin " + id.str());
  }
}

IntVal b_int_min(EnvI& env, Call* call) {
  switch (call->n_args()) {
    case 1:
      if (call->arg(0)->type().is_set()) {
        throw EvalError(env, call->arg(0)->loc(), "sets not supported");
      } else {
        GCLock lock;
        ArrayLit* al = eval_array_lit(env, call->arg(0));
        if (al->size() == 0)
          throw ResultUndefinedError(env, al->loc(), "minimum of empty array is undefined");
        IntVal m = eval_int(env, (*al)[0]);
        for (unsigned int i = 1; i < al->size(); i++) m = std::min(m, eval_int(env, (*al)[i]));
        return m;
      }
    case 2: {
      return std::min(eval_int(env, call->arg(0)), eval_int(env, call->arg(1)));
    }
    default:
      throw EvalError(env, Location(), "dynamic type error");
  }
}

IntVal b_int_max(EnvI& env, Call* call) {
  switch (call->n_args()) {
    case 1:
      if (call->arg(0)->type().is_set()) {
        throw EvalError(env, call->arg(0)->loc(), "sets not supported");
      } else {
        GCLock lock;
        ArrayLit* al = eval_array_lit(env, call->arg(0));
        if (al->size() == 0)
          throw ResultUndefinedError(env, al->loc(), "maximum of empty array is undefined");
        IntVal m = eval_int(env, (*al)[0]);
        for (unsigned int i = 1; i < al->size(); i++) m = std::max(m, eval_int(env, (*al)[i]));
        return m;
      }
    case 2: {
      return std::max(eval_int(env, call->arg(0)), eval_int(env, call->arg(1)));
    }
    default:
      throw EvalError(env, Location(), "dynamic type error");
  }
}

IntVal b_arg_min_int(EnvI& env, Call* call) {
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0)
    throw ResultUndefinedError(env, al->loc(), "argmin of empty array is undefined");
  IntVal m = eval_int(env, (*al)[0]);
  int m_idx = 0;
  for (unsigned int i = 1; i < al->size(); i++) {
    IntVal mi = eval_int(env, (*al)[i]);
    if (mi < m) {
      m = mi;
      m_idx = i;
    }
  }
  return m_idx + 1;
}
IntVal b_arg_max_int(EnvI& env, Call* call) {
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0)
    throw ResultUndefinedError(env, al->loc(), "argmax of empty array is undefined");
  IntVal m = eval_int(env, (*al)[0]);
  int m_idx = 0;
  for (unsigned int i = 1; i < al->size(); i++) {
    IntVal mi = eval_int(env, (*al)[i]);
    if (mi > m) {
      m = mi;
      m_idx = i;
    }
  }
  return m_idx + 1;
}
IntVal b_arg_min_float(EnvI& env, Call* call) {
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0)
    throw ResultUndefinedError(env, al->loc(), "argmin of empty array is undefined");
  FloatVal m = eval_float(env, (*al)[0]);
  int m_idx = 0;
  for (unsigned int i = 1; i < al->size(); i++) {
    FloatVal mi = eval_float(env, (*al)[i]);
    if (mi < m) {
      m = mi;
      m_idx = i;
    }
  }
  return m_idx + 1;
}
IntVal b_arg_max_float(EnvI& env, Call* call) {
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0)
    throw ResultUndefinedError(env, al->loc(), "argmax of empty array is undefined");
  FloatVal m = eval_float(env, (*al)[0]);
  int m_idx = 0;
  for (unsigned int i = 1; i < al->size(); i++) {
    FloatVal mi = eval_float(env, (*al)[i]);
    if (mi > m) {
      m = mi;
      m_idx = i;
    }
  }
  return m_idx + 1;
}

IntVal b_abs_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  return std::abs(eval_int(env, call->arg(0)));
}

FloatVal b_abs_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  return std::abs(eval_float(env, call->arg(0)));
}

bool b_has_bounds_int(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "dynamic type error");
  IntBounds ib = compute_int_bounds(env, call->arg(0));
  return ib.valid && ib.l.isFinite() && ib.u.isFinite();
}
bool b_has_bounds_float(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "dynamic type error");
  FloatBounds fb = compute_float_bounds(env, call->arg(0));
  return fb.valid;
}

IntVal lb_varoptint(EnvI& env, Expression* e) {
  IntBounds b = compute_int_bounds(env, e);
  if (b.valid)
    return b.l;
  else
    return -IntVal::infinity();
}
IntVal b_lb_varoptint(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "dynamic type error");
  return lb_varoptint(env, call->arg(0));
}

bool b_occurs(EnvI& env, Call* call) {
  GCLock lock;
  return eval_par(env, call->arg(0)) != constants().absent;
}

IntVal b_deopt_int(EnvI& env, Call* call) {
  GCLock lock;
  Expression* e = eval_par(env, call->arg(0));
  if (e == constants().absent)
    throw EvalError(env, e->loc(), "cannot evaluate deopt on absent value");
  return eval_int(env, e);
}

bool b_deopt_bool(EnvI& env, Call* call) {
  GCLock lock;
  Expression* e = eval_par(env, call->arg(0));
  if (e == constants().absent)
    throw EvalError(env, e->loc(), "cannot evaluate deopt on absent value");
  return eval_bool(env, e);
}

FloatVal b_deopt_float(EnvI& env, Call* call) {
  GCLock lock;
  Expression* e = eval_par(env, call->arg(0));
  if (e == constants().absent)
    throw EvalError(env, e->loc(), "cannot evaluate deopt on absent value");
  return eval_float(env, e);
}

IntSetVal* b_deopt_intset(EnvI& env, Call* call) {
  GCLock lock;
  Expression* e = eval_par(env, call->arg(0));
  if (e == constants().absent)
    throw EvalError(env, e->loc(), "cannot evaluate deopt on absent value");
  return eval_intset(env, e);
}

std::string b_deopt_string(EnvI& env, Call* call) {
  GCLock lock;
  Expression* e = eval_par(env, call->arg(0));
  if (e == constants().absent)
    throw EvalError(env, e->loc(), "cannot evaluate deopt on absent value");
  return eval_string(env, e);
}

Expression* b_deopt_expr(EnvI& env, Call* call) {
  GCLock lock;
  Expression* e = eval_par(env, call->arg(0));
  if (e == constants().absent)
    throw EvalError(env, e->loc(), "cannot evaluate deopt on absent value");
  return e;
};

IntVal b_array_lb_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  Expression* e = follow_id_to_decl(call->arg(0));

  bool foundMin = false;
  IntVal array_lb = -IntVal::infinity();

  if (VarDecl* vd = e->dyn_cast<VarDecl>()) {
    if (vd->ti()->domain()) {
      GCLock lock;
      IntSetVal* isv = eval_intset(env, vd->ti()->domain());
      if (isv->size() != 0) {
        array_lb = isv->min();
        foundMin = true;
      }
    }
    e = vd->e();
  }

  if (e != NULL) {
    GCLock lock;
    ArrayLit* al = eval_array_lit(env, e);
    if (al->size() == 0) throw EvalError(env, Location(), "lower bound of empty array undefined");
    IntVal min = IntVal::infinity();
    for (unsigned int i = 0; i < al->size(); i++) {
      IntBounds ib = compute_int_bounds(env, (*al)[i]);
      if (!ib.valid) goto b_array_lb_int_done;
      min = std::min(min, ib.l);
    }
    if (foundMin)
      array_lb = std::max(array_lb, min);
    else
      array_lb = min;
    foundMin = true;
  }
b_array_lb_int_done:
  if (foundMin) {
    return array_lb;
  } else {
    return -IntVal::infinity();
  }
}

IntVal ub_varoptint(EnvI& env, Expression* e) {
  IntBounds b = compute_int_bounds(env, e);
  if (b.valid)
    return b.u;
  else
    return IntVal::infinity();
}
IntVal b_ub_varoptint(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "dynamic type error");
  return ub_varoptint(env, call->arg(0));
}

IntVal b_array_ub_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  Expression* e = follow_id_to_decl(call->arg(0));

  bool foundMax = false;
  IntVal array_ub = IntVal::infinity();

  if (VarDecl* vd = e->dyn_cast<VarDecl>()) {
    if (vd->ti()->domain()) {
      GCLock lock;
      IntSetVal* isv = eval_intset(env, vd->ti()->domain());
      if (isv->size() != 0) {
        array_ub = isv->max();
        foundMax = true;
      }
    }
    e = vd->e();
  }

  if (e != NULL) {
    GCLock lock;
    ArrayLit* al = eval_array_lit(env, e);
    if (al->size() == 0) throw EvalError(env, Location(), "upper bound of empty array undefined");
    IntVal max = -IntVal::infinity();
    for (unsigned int i = 0; i < al->size(); i++) {
      IntBounds ib = compute_int_bounds(env, (*al)[i]);
      if (!ib.valid) goto b_array_ub_int_done;
      max = std::max(max, ib.u);
    }
    if (foundMax)
      array_ub = std::min(array_ub, max);
    else
      array_ub = max;
    foundMax = true;
  }
b_array_ub_int_done:
  if (foundMax) {
    return array_ub;
  } else {
    return IntVal::infinity();
  }
}

IntVal b_sum_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0) return 0;
  IntVal m = 0;
  for (unsigned int i = 0; i < al->size(); i++) m += eval_int(env, (*al)[i]);
  return m;
}

IntVal b_product_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0) return 1;
  IntVal m = 1;
  for (unsigned int i = 0; i < al->size(); i++) m *= eval_int(env, (*al)[i]);
  return m;
}

FloatVal b_product_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0) return 1;
  FloatVal m = 1.0;
  for (unsigned int i = 0; i < al->size(); i++) m *= eval_float(env, (*al)[i]);
  return m;
}

FloatVal lb_varoptfloat(EnvI& env, Expression* e) {
  FloatBounds b = compute_float_bounds(env, e);
  if (b.valid)
    return b.l;
  else
    throw EvalError(env, e->loc(), "cannot determine bounds");
}
FloatVal ub_varoptfloat(EnvI& env, Expression* e) {
  FloatBounds b = compute_float_bounds(env, e);
  if (b.valid)
    return b.u;
  else
    throw EvalError(env, e->loc(), "cannot determine bounds");
}

FloatVal b_lb_varoptfloat(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "dynamic type error");
  return lb_varoptfloat(env, call->arg(0));
}
FloatVal b_ub_varoptfloat(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "dynamic type error");
  return ub_varoptfloat(env, call->arg(0));
}

FloatVal b_array_lb_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  Expression* e = follow_id_to_decl(call->arg(0));

  bool foundMin = false;
  FloatVal array_lb = 0.0;

  if (VarDecl* vd = e->dyn_cast<VarDecl>()) {
    if (vd->ti()->domain()) {
      FloatSetVal* fsv = eval_floatset(env, vd->ti()->domain());
      array_lb = fsv->min();
      foundMin = true;
    }
    e = vd->e();
  }

  if (e != NULL) {
    GCLock lock;
    ArrayLit* al = eval_array_lit(env, e);
    if (al->size() == 0) throw EvalError(env, Location(), "lower bound of empty array undefined");
    bool min_valid = false;
    FloatVal min = 0.0;
    for (unsigned int i = 0; i < al->size(); i++) {
      FloatBounds fb = compute_float_bounds(env, (*al)[i]);
      if (!fb.valid) goto b_array_lb_float_done;
      if (min_valid) {
        min = std::min(min, fb.l);
      } else {
        min_valid = true;
        min = fb.l;
      }
    }
    assert(min_valid);
    if (foundMin)
      array_lb = std::max(array_lb, min);
    else
      array_lb = min;
    foundMin = true;
  }
b_array_lb_float_done:
  if (foundMin) {
    return array_lb;
  } else {
    throw EvalError(env, e->loc(), "cannot determine lower bound");
  }
}

FloatVal b_array_ub_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  Expression* e = follow_id_to_decl(call->arg(0));

  bool foundMax = false;
  FloatVal array_ub = 0.0;

  if (VarDecl* vd = e->dyn_cast<VarDecl>()) {
    if (vd->ti()->domain()) {
      FloatSetVal* fsv = eval_floatset(env, vd->ti()->domain());
      array_ub = fsv->max();
      foundMax = true;
    }
    e = vd->e();
  }

  if (e != NULL) {
    GCLock lock;
    ArrayLit* al = eval_array_lit(env, e);
    if (al->size() == 0) throw EvalError(env, Location(), "upper bound of empty array undefined");
    bool max_valid = false;
    FloatVal max = 0.0;
    for (unsigned int i = 0; i < al->size(); i++) {
      FloatBounds fb = compute_float_bounds(env, (*al)[i]);
      if (!fb.valid) goto b_array_ub_float_done;
      if (max_valid) {
        max = std::max(max, fb.u);
      } else {
        max_valid = true;
        max = fb.u;
      }
    }
    assert(max_valid);
    if (foundMax)
      array_ub = std::min(array_ub, max);
    else
      array_ub = max;
    foundMax = true;
  }
b_array_ub_float_done:
  if (foundMax) {
    return array_ub;
  } else {
    throw EvalError(env, e->loc(), "cannot determine upper bound");
  }
}

FloatVal b_sum_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0) return 0;
  FloatVal m = 0;
  for (unsigned int i = 0; i < al->size(); i++) m += eval_float(env, (*al)[i]);
  return m;
}

FloatVal b_float_min(EnvI& env, Call* call) {
  switch (call->n_args()) {
    case 1:
      if (call->arg(0)->type().is_set()) {
        throw EvalError(env, call->arg(0)->loc(), "sets not supported");
      } else {
        GCLock lock;
        ArrayLit* al = eval_array_lit(env, call->arg(0));
        if (al->size() == 0) throw EvalError(env, al->loc(), "min on empty array undefined");
        FloatVal m = eval_float(env, (*al)[0]);
        for (unsigned int i = 1; i < al->size(); i++) m = std::min(m, eval_float(env, (*al)[i]));
        return m;
      }
    case 2: {
      return std::min(eval_float(env, call->arg(0)), eval_float(env, call->arg(1)));
    }
    default:
      throw EvalError(env, Location(), "dynamic type error");
  }
}

FloatVal b_float_max(EnvI& env, Call* call) {
  switch (call->n_args()) {
    case 1:
      if (call->arg(0)->type().is_set()) {
        throw EvalError(env, call->arg(0)->loc(), "sets not supported");
      } else {
        GCLock lock;
        ArrayLit* al = eval_array_lit(env, call->arg(0));
        if (al->size() == 0) throw EvalError(env, al->loc(), "max on empty array undefined");
        FloatVal m = eval_float(env, (*al)[0]);
        for (unsigned int i = 1; i < al->size(); i++) m = std::max(m, eval_float(env, (*al)[i]));
        return m;
      }
    case 2: {
      return std::max(eval_float(env, call->arg(0)), eval_float(env, call->arg(1)));
    }
    default:
      throw EvalError(env, Location(), "dynamic type error");
  }
}

IntSetVal* b_index_set(EnvI& env, Expression* e, int i) {
  if (e->eid() != Expression::E_ID) {
    GCLock lock;
    ArrayLit* al = eval_array_lit(env, e);
    if (al->dims() < i) throw EvalError(env, e->loc(), "index_set: wrong dimension");
    return IntSetVal::a(al->min(i - 1), al->max(i - 1));
  }
  Id* id = e->cast<Id>();
  if (id->decl() == NULL) throw EvalError(env, id->loc(), "undefined identifier");
  if ((id->decl()->ti()->ranges().size() == 1 && id->decl()->ti()->ranges()[0]->domain() != NULL &&
       id->decl()->ti()->ranges()[0]->domain()->isa<TIId>()) ||
      (static_cast<int>(id->decl()->ti()->ranges().size()) >= i &&
       (id->decl()->ti()->ranges()[i - 1]->domain() == NULL ||
        id->decl()->ti()->ranges()[i - 1]->domain()->isa<TIId>()))) {
    GCLock lock;
    ArrayLit* al = eval_array_lit(env, id);
    if (al->dims() < i) throw EvalError(env, id->loc(), "index_set: wrong dimension");
    return IntSetVal::a(al->min(i - 1), al->max(i - 1));
  }
  if (static_cast<int>(id->decl()->ti()->ranges().size()) < i)
    throw EvalError(env, id->loc(), "index_set: wrong dimension");
  return eval_intset(env, id->decl()->ti()->ranges()[i - 1]->domain());
}
bool b_index_sets_agree(EnvI& env, Call* call) {
  if (call->n_args() != 2)
    throw EvalError(env, Location(), "index_sets_agree needs exactly two arguments");
  GCLock lock;
  ArrayLit* al0 = eval_array_lit(env, call->arg(0));
  ArrayLit* al1 = eval_array_lit(env, call->arg(1));
  if (al0->type().dim() != al1->type().dim()) return false;
  for (int i = 1; i <= al0->type().dim(); i++) {
    IntSetVal* index0 = b_index_set(env, al0, i);
    IntSetVal* index1 = b_index_set(env, al1, i);
    if (!index0->equal(index1)) return false;
  }
  return true;
}
IntSetVal* b_index_set1(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "index_set needs exactly one argument");
  return b_index_set(env, call->arg(0), 1);
}
IntSetVal* b_index_set2(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "index_set needs exactly one argument");
  return b_index_set(env, call->arg(0), 2);
}
IntSetVal* b_index_set3(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "index_set needs exactly one argument");
  return b_index_set(env, call->arg(0), 3);
}
IntSetVal* b_index_set4(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "index_set needs exactly one argument");
  return b_index_set(env, call->arg(0), 4);
}
IntSetVal* b_index_set5(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "index_set needs exactly one argument");
  return b_index_set(env, call->arg(0), 5);
}
IntSetVal* b_index_set6(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "index_set needs exactly one argument");
  return b_index_set(env, call->arg(0), 6);
}

IntVal b_min_parsetint(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  IntSetVal* isv = eval_intset(env, call->arg(0));
  return isv->min();
}
IntVal b_max_parsetint(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  IntSetVal* isv = eval_intset(env, call->arg(0));
  return isv->max();
}
IntSetVal* b_lb_set(EnvI& env, Call* e) {
  Expression* ee = eval_par(env, e->arg(0));
  if (ee->type().ispar()) {
    return eval_intset(env, ee);
  }
  return IntSetVal::a();
}
IntSetVal* b_ub_set(EnvI& env, Expression* e) {
  IntSetVal* isv = compute_intset_bounds(env, e);
  if (isv) return isv;
  throw EvalError(env, e->loc(), "cannot determine bounds of set expression");
}
IntSetVal* b_ub_set(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  return b_ub_set(env, call->arg(0));
}
bool b_has_ub_set(EnvI& env, Call* call) {
  Expression* e = call->arg(0);
  for (;;) {
    switch (e->eid()) {
      case Expression::E_SETLIT:
        return true;
      case Expression::E_ID: {
        Id* id = e->cast<Id>();
        if (id->decl() == NULL) throw EvalError(env, id->loc(), "undefined identifier");
        if (id->decl()->e() == NULL)
          return id->decl()->ti()->domain() != NULL;
        else
          e = id->decl()->e();
      } break;
      default:
        throw EvalError(env, e->loc(), "invalid argument to has_ub_set");
    }
  }
}

IntSetVal* b_array_ub_set(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0) throw EvalError(env, Location(), "upper bound of empty array undefined");
  IntSetVal* ub = b_ub_set(env, (*al)[0]);
  for (unsigned int i = 1; i < al->size(); i++) {
    IntSetRanges isr(ub);
    IntSetRanges r(b_ub_set(env, (*al)[i]));
    Ranges::Union<IntVal, IntSetRanges, IntSetRanges> u(isr, r);
    ub = IntSetVal::ai(u);
  }
  return ub;
}

IntSetVal* b_dom_varint(EnvI& env, Expression* e) {
  Id* lastid = NULL;
  Expression* cur = e;
  for (;;) {
    if (cur == NULL) {
      if (lastid == NULL || lastid->decl()->ti()->domain() == NULL) {
        IntBounds b = compute_int_bounds(env, e);
        if (b.valid)
          return IntSetVal::a(b.l, b.u);
        else
          return IntSetVal::a(-IntVal::infinity(), IntVal::infinity());
      } else {
        return eval_intset(env, lastid->decl()->ti()->domain());
      }
    }
    switch (cur->eid()) {
      case Expression::E_INTLIT: {
        IntVal v = cur->cast<IntLit>()->v();
        return IntSetVal::a(v, v);
      }
      case Expression::E_ID: {
        lastid = cur->cast<Id>();
        if (lastid->decl() == NULL) throw EvalError(env, lastid->loc(), "undefined identifier");
        cur = lastid->decl()->e();
      } break;
      case Expression::E_ARRAYACCESS: {
        bool success;
        cur = eval_arrayaccess(env, cur->cast<ArrayAccess>(), success);
        if (!success) {
          cur = NULL;
        }
      } break;
      default:
        cur = NULL;
        break;
    }
  }
}
IntSetVal* b_dom_varint(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  return b_dom_varint(env, call->arg(0));
}

IntSetVal* b_dom_bounds_array(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  Expression* arg_e = call->arg(0);
  Expression* e = follow_id_to_decl(arg_e);

  bool foundBounds = false;
  IntVal array_lb = -IntVal::infinity();
  IntVal array_ub = IntVal::infinity();

  if (VarDecl* vd = e->dyn_cast<VarDecl>()) {
    if (vd->ti()->domain()) {
      GCLock lock;
      IntSetVal* isv = eval_intset(env, vd->ti()->domain());
      if (isv->size() != 0) {
        array_lb = isv->min();
        array_ub = isv->max();
        foundBounds = true;
      }
    }
    e = vd->e();
    if (e == NULL) e = vd->flat()->e();
  }

  if (foundBounds) {
    return IntSetVal::a(array_lb, array_ub);
  }

  if (e != NULL) {
    GCLock lock;
    ArrayLit* al = eval_array_lit(env, e);
    if (al->size() == 0) throw EvalError(env, Location(), "lower bound of empty array undefined");
    IntVal min = IntVal::infinity();
    IntVal max = -IntVal::infinity();
    for (unsigned int i = 0; i < al->size(); i++) {
      IntBounds ib = compute_int_bounds(env, (*al)[i]);
      if (!ib.valid) goto b_array_lb_int_done;
      min = std::min(min, ib.l);
      max = std::max(max, ib.u);
    }
    array_lb = std::max(array_lb, min);
    array_ub = std::min(array_ub, max);
    foundBounds = true;
  }
b_array_lb_int_done:
  if (foundBounds) {
    return IntSetVal::a(array_lb, array_ub);
  } else {
    throw EvalError(env, e->loc(), "cannot determine lower bound");
  }
}

IntSetVal* b_dom_array(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  Expression* ae = call->arg(0);
  ArrayLit* al = NULL;
  while (al == NULL) {
    switch (ae->eid()) {
      case Expression::E_ARRAYLIT:
        al = ae->cast<ArrayLit>();
        break;
      case Expression::E_ID: {
        Id* id = ae->cast<Id>();
        if (id->decl() == NULL) throw EvalError(env, id->loc(), "undefined identifier");
        if (id->decl()->e() == NULL) {
          if (id->decl()->flat() == NULL) {
            throw EvalError(env, id->loc(), "array without initialiser");
          } else {
            if (id->decl()->flat()->e() == NULL) {
              throw EvalError(env, id->loc(), "array without initialiser");
            }
            ae = id->decl()->flat()->e();
          }
        } else {
          ae = id->decl()->e();
        }
      } break;
      default:
        throw EvalError(env, ae->loc(), "invalid argument to dom");
    }
  }
  if (al->size() == 0) return IntSetVal::a();
  IntSetVal* isv = b_dom_varint(env, (*al)[0]);
  for (unsigned int i = 1; i < al->size(); i++) {
    IntSetRanges isr(isv);
    IntSetRanges r(b_dom_varint(env, (*al)[i]));
    Ranges::Union<IntVal, IntSetRanges, IntSetRanges> u(isr, r);
    isv = IntSetVal::ai(u);
  }
  return isv;
}
IntSetVal* b_compute_div_bounds(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  IntBounds bx = compute_int_bounds(env, call->arg(0));
  if (!bx.valid) throw EvalError(env, call->arg(0)->loc(), "cannot determine bounds");
  /// TODO: better bounds if only some input bounds are infinite
  if (!bx.l.isFinite() || !bx.u.isFinite()) return constants().infinity->isv();
  IntBounds by = compute_int_bounds(env, call->arg(1));
  if (!by.valid) throw EvalError(env, call->arg(1)->loc(), "cannot determine bounds");
  if (!by.l.isFinite() || !by.u.isFinite()) return constants().infinity->isv();
  Ranges::Const<IntVal> byr(by.l, by.u);
  Ranges::Const<IntVal> by0(0, 0);
  Ranges::Diff<IntVal, Ranges::Const<IntVal>, Ranges::Const<IntVal>> byr0(byr, by0);

  IntVal min = IntVal::maxint();
  IntVal max = IntVal::minint();
  if (byr0()) {
    min = std::min(min, bx.l / byr0.min());
    min = std::min(min, bx.l / byr0.max());
    min = std::min(min, bx.u / byr0.min());
    min = std::min(min, bx.u / byr0.max());
    max = std::max(max, bx.l / byr0.min());
    max = std::max(max, bx.l / byr0.max());
    max = std::max(max, bx.u / byr0.min());
    max = std::max(max, bx.u / byr0.max());
    ++byr0;
    if (byr0()) {
      min = std::min(min, bx.l / byr0.min());
      min = std::min(min, bx.l / byr0.max());
      min = std::min(min, bx.u / byr0.min());
      min = std::min(min, bx.u / byr0.max());
      max = std::max(max, bx.l / byr0.min());
      max = std::max(max, bx.l / byr0.max());
      max = std::max(max, bx.u / byr0.min());
      max = std::max(max, bx.u / byr0.max());
    }
  }
  return IntSetVal::a(min, max);
}

ArrayLit* b_arrayXd(EnvI& env, Call* call, int d) {
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(d));
  std::vector<std::pair<int, int>> dims(d);
  unsigned int dim1d = 1;
  for (int i = 0; i < d; i++) {
    IntSetVal* di = eval_intset(env, call->arg(i));
    if (di->size() == 0) {
      dims[i] = std::pair<int, int>(1, 0);
      dim1d = 0;
    } else if (di->size() != 1) {
      throw EvalError(env, call->arg(i)->loc(), "arrayXd only defined for ranges");
    } else {
      dims[i] = std::pair<int, int>(static_cast<int>(di->min(0).toInt()),
                                    static_cast<int>(di->max(0).toInt()));
      dim1d *= dims[i].second - dims[i].first + 1;
    }
  }
  if (dim1d != al->size()) throw EvalError(env, al->loc(), "mismatch in array dimensions");
  ArrayLit* ret = new ArrayLit(al->loc(), *al, dims);
  Type t = al->type();
  t.dim(d);
  ret->type(t);
  ret->flat(al->flat());
  return ret;
}
Expression* b_array1d_list(EnvI& env, Call* call) {
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->dims() == 1 && al->min(0) == 1) {
    return call->arg(0)->isa<Id>() ? call->arg(0) : al;
  }
  ArrayLit* ret = new ArrayLit(al->loc(), *al);
  Type t = al->type();
  t.dim(1);
  ret->type(t);
  ret->flat(al->flat());
  return ret;
}
Expression* b_array1d(EnvI& env, Call* call) { return b_arrayXd(env, call, 1); }
Expression* b_array2d(EnvI& env, Call* call) { return b_arrayXd(env, call, 2); }
Expression* b_array3d(EnvI& env, Call* call) { return b_arrayXd(env, call, 3); }
Expression* b_array4d(EnvI& env, Call* call) { return b_arrayXd(env, call, 4); }
Expression* b_array5d(EnvI& env, Call* call) { return b_arrayXd(env, call, 5); }
Expression* b_array6d(EnvI& env, Call* call) { return b_arrayXd(env, call, 6); }

Expression* b_arrayXd(EnvI& env, Call* call) {
  GCLock lock;
  ArrayLit* al0 = eval_array_lit(env, call->arg(0));
  ArrayLit* al1 = eval_array_lit(env, call->arg(1));
  if (al0->dims() == al1->dims()) {
    bool sameDims = true;
    for (unsigned int i = al0->dims(); i--;) {
      if (al0->min(i) != al1->min(i) || al0->max(i) != al1->max(i)) {
        sameDims = false;
        break;
      }
    }
    if (sameDims) return call->arg(1)->isa<Id>() ? call->arg(1) : al1;
  }
  std::vector<std::pair<int, int>> dims(al0->dims());
  for (unsigned int i = al0->dims(); i--;) {
    dims[i] = std::make_pair(al0->min(i), al0->max(i));
  }
  ArrayLit* ret = new ArrayLit(al1->loc(), *al1, dims);
  Type t = al1->type();
  t.dim(static_cast<int>(dims.size()));
  ret->type(t);
  ret->flat(al1->flat());
  return ret;
}

IntVal b_length(EnvI& env, Call* call) {
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  return al->size();
}

IntVal b_bool2int(EnvI& env, Call* call) { return eval_bool(env, call->arg(0)) ? 1 : 0; }

bool b_forall_par(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "forall needs exactly one argument");
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  for (unsigned int i = al->size(); i--;)
    if (!eval_bool(env, (*al)[i])) return false;
  return true;
}
bool b_exists_par(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "exists needs exactly one argument");
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  for (unsigned int i = al->size(); i--;)
    if (eval_bool(env, (*al)[i])) return true;
  return false;
}
bool b_clause_par(EnvI& env, Call* call) {
  if (call->n_args() != 2) throw EvalError(env, Location(), "clause needs exactly two arguments");
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  for (unsigned int i = al->size(); i--;)
    if (eval_bool(env, (*al)[i])) return true;
  al = eval_array_lit(env, call->arg(1));
  for (unsigned int i = al->size(); i--;)
    if (!eval_bool(env, (*al)[i])) return true;
  return false;
}
bool b_xorall_par(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "xorall needs exactly one argument");
  GCLock lock;
  int count = 0;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  for (unsigned int i = al->size(); i--;) count += eval_bool(env, (*al)[i]);
  return count % 2 == 1;
}
bool b_iffall_par(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "xorall needs exactly one argument");
  GCLock lock;
  int count = 0;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  for (unsigned int i = al->size(); i--;) count += eval_bool(env, (*al)[i]);
  return count % 2 == 0;
}

IntVal b_card(EnvI& env, Call* call) {
  if (call->n_args() != 1) throw EvalError(env, Location(), "card needs exactly one argument");
  IntSetVal* isv = eval_intset(env, call->arg(0));
  IntSetRanges isr(isv);
  return Ranges::cardinality(isr);
}

Expression* exp_is_fixed(EnvI& env, Expression* e) {
  GCLock lock;
  Expression* cur = eval_par(env, e);
  for (;;) {
    if (cur == NULL) return NULL;
    if (cur->type().ispar()) return cur;
    switch (cur->eid()) {
      case Expression::E_ID:
        cur = cur->cast<Id>()->decl();
        break;
      case Expression::E_VARDECL:
        if (cur->type().st() != Type::ST_SET) {
          Expression* dom = cur->cast<VarDecl>()->ti()->domain();
          if (dom && (dom->isa<IntLit>() || dom->isa<BoolLit>() || dom->isa<FloatLit>()))
            return dom;
        }
        cur = cur->cast<VarDecl>()->e();
        break;
      default:
        return NULL;
    }
  }
}

bool b_is_fixed(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  return exp_is_fixed(env, call->arg(0)) != NULL;
}

bool b_is_fixed_array(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0) return true;
  for (unsigned int i = 0; i < al->size(); i++) {
    if (exp_is_fixed(env, (*al)[i]) == NULL) return false;
  }
  return true;
}

Expression* b_fix(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  Expression* ret = exp_is_fixed(env, call->arg(0));
  if (ret == NULL) throw EvalError(env, call->arg(0)->loc(), "expression is not fixed");
  return ret;
}

IntVal b_fix_int(EnvI& env, Call* call) { return eval_int(env, b_fix(env, call)); }
bool b_fix_bool(EnvI& env, Call* call) { return eval_bool(env, b_fix(env, call)); }
FloatVal b_fix_float(EnvI& env, Call* call) { return eval_float(env, b_fix(env, call)); }
IntSetVal* b_fix_set(EnvI& env, Call* call) { return eval_intset(env, b_fix(env, call)); }

Expression* b_fix_array(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  std::vector<Expression*> fixed(al->size());
  for (unsigned int i = 0; i < fixed.size(); i++) {
    fixed[i] = exp_is_fixed(env, (*al)[i]);
    if (fixed[i] == NULL) throw EvalError(env, (*al)[i]->loc(), "expression is not fixed");
  }
  ArrayLit* ret = new ArrayLit(Location(), fixed);
  Type tt = al->type();
  tt.ti(Type::TI_PAR);
  ret->type(tt);
  return ret;
}

FloatVal b_int2float(EnvI& env, Call* call) { return eval_int(env, call->arg(0)); }
IntVal b_ceil(EnvI& env, Call* call) {
  return static_cast<IntVal>(std::ceil(eval_float(env, call->arg(0))));
}
IntVal b_floor(EnvI& env, Call* call) {
  return static_cast<IntVal>(std::floor(eval_float(env, call->arg(0))));
}
IntVal b_round(EnvI& env, Call* call) {
  FloatVal v(eval_float(env, call->arg(0)));
  return v < 0 ? static_cast<IntVal>(v - 0.5) : static_cast<IntVal>(v + 0.5);
  // return static_cast<IntVal>(eval_float(env,call->arg(0))+0.5);
}
FloatVal b_log10(EnvI& env, Call* call) {
  return std::log10(eval_float(env, call->arg(0)).toDouble());
}
FloatVal b_log2(EnvI& env, Call* call) {
  return std::log(eval_float(env, call->arg(0)).toDouble()) / std::log(2.0);
}
FloatVal b_ln(EnvI& env, Call* call) { return std::log(eval_float(env, call->arg(0)).toDouble()); }
FloatVal b_log(EnvI& env, Call* call) {
  return std::log(eval_float(env, call->arg(1)).toDouble()) /
         std::log(eval_float(env, call->arg(0)).toDouble());
}
FloatVal b_exp(EnvI& env, Call* call) { return std::exp(eval_float(env, call->arg(0)).toDouble()); }
FloatVal b_pow(EnvI& env, Call* call) {
  return std::pow(eval_float(env, call->arg(0)).toDouble(),
                  eval_float(env, call->arg(1)).toDouble());
}
IntVal b_pow_int(EnvI& env, Call* call) {
  IntVal p = eval_int(env, call->arg(0));
  IntVal r = 1;
  long long int e = eval_int(env, call->arg(1)).toInt();
  if (e < 0) throw EvalError(env, call->arg(1)->loc(), "Cannot raise integer to a negative power");
  for (long long int i = e; i--;) r = r * p;
  return r;
}
FloatVal b_sqrt(EnvI& env, Call* call) {
  return std::sqrt(eval_float(env, call->arg(0)).toDouble());
}

bool b_assert_bool(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  GCLock lock;
  if (eval_bool(env, call->arg(0))) return true;
  StringLit* err = eval_par(env, call->arg(1))->cast<StringLit>();
  throw EvalError(env, call->arg(0)->loc(), "Assertion failed: " + err->v().str());
}

Expression* b_assert(EnvI& env, Call* call) {
  assert(call->n_args() == 3);
  GCLock lock;
  if (eval_bool(env, call->arg(0))) return call->arg(2);
  StringLit* err = eval_par(env, call->arg(1))->cast<StringLit>();
  throw EvalError(env, call->arg(0)->loc(), "Assertion failed: " + err->v().str());
}

bool b_abort(EnvI& env, Call* call) {
  GCLock lock;
  StringLit* err = eval_par(env, call->arg(0))->cast<StringLit>();
  throw EvalError(env, call->arg(0)->loc(), "Abort: " + err->v().str());
}

Expression* b_trace(EnvI& env, Call* call) {
  GCLock lock;
  StringLit* msg = eval_par(env, call->arg(0))->cast<StringLit>();
  env.errstream << msg->v();
  return call->n_args() == 1 ? constants().lit_true : call->arg(1);
}

Expression* b_trace_stdout(EnvI& env, Call* call) {
  GCLock lock;
  StringLit* msg = eval_par(env, call->arg(0))->cast<StringLit>();
  env.outstream << msg->v();
  return call->n_args() == 1 ? constants().lit_true : call->arg(1);
}

bool b_in_redundant_constraint(EnvI& env, Call*) { return env.in_redundant_constraint > 0; }

Expression* b_set2array(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  IntSetVal* isv = eval_intset(env, call->arg(0));
  std::vector<Expression*> elems;
  IntSetRanges isr(isv);
  for (Ranges::ToValues<IntSetRanges> isr_v(isr); isr_v(); ++isr_v)
    elems.push_back(IntLit::a(isr_v.val()));
  ArrayLit* al = new ArrayLit(call->arg(0)->loc(), elems);
  al->type(Type::parint(1));
  return al;
}

IntVal b_string_length(EnvI& env, Call* call) {
  GCLock lock;
  std::string s = eval_string(env, call->arg(0));
  return s.size();
}

std::string show(EnvI& env, Expression* exp) {
  std::ostringstream oss;
  GCLock lock;
  Printer p(oss, 0, false);
  Expression* e = eval_par(env, exp);
  if (e->type().isvar()) {
    p.print(e);
  } else {
    e = eval_par(env, e);
    if (ArrayLit* al = e->dyn_cast<ArrayLit>()) {
      oss << "[";
      for (unsigned int i = 0; i < al->size(); i++) {
        p.print((*al)[i]);
        if (i < al->size() - 1) oss << ", ";
      }
      oss << "]";
    } else {
      p.print(e);
    }
  }
  return oss.str();
}
std::string b_show(EnvI& env, Call* call) { return show(env, call->arg(0)); }
std::string b_showDznId(EnvI& env, Call* call) {
  GCLock lock;
  std::string s = eval_string(env, call->arg(0));
  size_t nonIdChar =
      s.find_first_not_of("ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789_");
  size_t nonIdBegin = s.find_first_of("0123456789_");
  if (nonIdChar != std::string::npos || nonIdBegin == 0) {
    s = "'" + s + "'";
  }
  return s;
}

std::string b_show_json_basic(EnvI& env, Expression* e) {
  std::ostringstream oss;
  Printer p(oss, 0, false);
  if (SetLit* sl = e->dyn_cast<SetLit>()) {
    oss << "{ \"set\" : [";
    if (IntSetVal* isv = sl->isv()) {
      bool first = true;
      for (IntSetRanges isr(isv); isr(); ++isr) {
        if (first) {
          first = false;
        } else {
          oss << ",";
        }
        if (isr.min() == isr.max()) {
          oss << isr.min();
        } else {
          oss << "[" << isr.min() << "," << isr.max() << "]";
        }
      }
    } else if (FloatSetVal* fsv = sl->fsv()) {
      bool first = true;
      for (FloatSetRanges fsr(fsv); fsr(); ++fsr) {
        if (first) {
          first = false;
        } else {
          oss << ",";
        }
        if (fsr.min() == fsr.max()) {
          ppFloatVal(oss, fsr.min());
        } else {
          oss << "[";
          ppFloatVal(oss, fsr.min());
          oss << ",";
          ppFloatVal(oss, fsr.max());
          oss << "]";
        }
      }
    } else {
      for (unsigned int i = 0; i < sl->v().size(); i++) {
        p.print(sl->v()[i]);
        if (i < sl->v().size() - 1) oss << ",";
      }
    }
    oss << "]}";
  } else if (e == constants().absent) {
    oss << "null";
  } else {
    p.print(e);
  }
  return oss.str();
}

std::string b_show_json(EnvI& env, Call* call) {
  Expression* exp = call->arg(0);
  GCLock lock;
  Expression* e = eval_par(env, exp);
  if (e->type().isvar()) {
    std::ostringstream oss;
    Printer p(oss, 0, false);
    p.print(e);
    return oss.str();
  } else {
    if (ArrayLit* al = e->dyn_cast<ArrayLit>()) {
      std::vector<unsigned int> dims(al->dims() - 1);
      if (dims.size() != 0) {
        dims[0] = al->max(al->dims() - 1) - al->min(al->dims() - 1) + 1;
      }

      for (int i = 1; i < al->dims() - 1; i++) {
        dims[i] = dims[i - 1] * (al->max(al->dims() - 1 - i) - al->min(al->dims() - 1 - i) + 1);
      }

      std::ostringstream oss;
      oss << "[";
      for (unsigned int i = 0; i < al->size(); i++) {
        for (unsigned int j = 0; j < dims.size(); j++) {
          if (i % dims[j] == 0) {
            oss << "[";
          }
        }
        oss << b_show_json_basic(env, (*al)[i]);
        for (unsigned int j = 0; j < dims.size(); j++) {
          if (i % dims[j] == dims[j] - 1) {
            oss << "]";
          }
        }

        if (i < al->size() - 1) oss << ", ";
      }
      oss << "]";

      return oss.str();
    } else {
      return b_show_json_basic(env, e);
    }
  }
}

Expression* b_outputJSON(EnvI& env, Call* call) { return createJSONOutput(env, false, false); }
Expression* b_outputJSONParameters(EnvI& env, Call* call) {
  std::vector<Expression*> outputVars;
  outputVars.push_back(new StringLit(Location().introduce(), "{\n"));

  class JSONParVisitor : public ItemVisitor {
  protected:
    EnvI& e;
    std::vector<Expression*>& outputVars;
    bool first_var;

  public:
    JSONParVisitor(EnvI& e0, std::vector<Expression*>& outputVars0)
        : e(e0), outputVars(outputVars0), first_var(true) {}
    void vVarDeclI(VarDeclI* vdi) {
      VarDecl* vd = vdi->e();
      if (vd->ann().contains(constants().ann.rhs_from_assignment)) {
        std::ostringstream s;
        if (first_var) {
          first_var = false;
        } else {
          s << ",\n";
        }
        s << "  \"" << vd->id()->str().str() << "\""
          << " : ";
        StringLit* sl = new StringLit(Location().introduce(), s.str());
        outputVars.push_back(sl);

        std::vector<Expression*> showArgs(1);
        showArgs[0] = vd->id();
        Call* show = new Call(Location().introduce(), "showJSON", showArgs);
        show->type(Type::parstring());
        FunctionI* fi = e.model->matchFn(e, show, false);
        assert(fi);
        show->decl(fi);
        outputVars.push_back(show);
      }
    }
  } jsonov(env, outputVars);

  iterItems(jsonov, env.model);
  outputVars.push_back(new StringLit(Location().introduce(), "\n}\n"));
  return new ArrayLit(Location().introduce(), outputVars);
}

std::string b_format(EnvI& env, Call* call) {
  int width = 0;
  int prec = -1;
  GCLock lock;
  Expression* e;
  if (call->n_args() > 1) {
    width = static_cast<int>(eval_int(env, call->arg(0)).toInt());
    if (call->n_args() == 2) {
      e = eval_par(env, call->arg(1));
    } else {
      assert(call->n_args() == 3);
      prec = static_cast<int>(eval_int(env, call->arg(1)).toInt());
      if (prec < 0)
        throw EvalError(env, call->arg(1)->loc(), "output precision cannot be negative");
      e = eval_par(env, call->arg(2));
    }
  } else {
    e = eval_par(env, call->arg(0));
  }
  if (e->type() == Type::parint()) {
    long long int i = eval_int(env, e).toInt();
    std::ostringstream formatted;
    if (width > 0) {
      formatted.width(width);
    } else if (width < 0) {
      formatted.width(-width);
      formatted.flags(std::ios::left);
    }
    if (prec != -1) formatted.precision(prec);
    formatted << i;
    return formatted.str();
  } else if (e->type() == Type::parfloat()) {
    FloatVal i = eval_float(env, e);
    std::ostringstream formatted;
    if (width > 0) {
      formatted.width(width);
    } else if (width < 0) {
      formatted.width(-width);
      formatted.flags(std::ios::left);
    }
    formatted.setf(std::ios::fixed);
    formatted.precision(std::numeric_limits<double>::digits10 + 2);
    if (prec != -1) formatted.precision(prec);
    formatted << i;
    return formatted.str();
  } else {
    std::string s = show(env, e);
    if (prec >= 0 && prec < s.size()) s = s.substr(0, prec);
    std::ostringstream oss;
    if (s.size() < std::abs(width)) {
      int addLeft = width < 0 ? 0 : (width - static_cast<int>(s.size()));
      if (addLeft < 0) addLeft = 0;
      int addRight = width < 0 ? (-width - static_cast<int>(s.size())) : 0;
      if (addRight < 0) addRight = 0;
      for (int i = addLeft; i--;) oss << " ";
      oss << s;
      for (int i = addRight; i--;) oss << " ";
      return oss.str();
    } else {
      return s;
    }
  }
}

std::string b_format_justify_string(EnvI& env, Call* call) {
  int width = 0;
  GCLock lock;
  Expression* e;
  width = static_cast<int>(eval_int(env, call->arg(0)).toInt());
  e = eval_par(env, call->arg(1));
  std::string s = eval_string(env, e);
  std::ostringstream oss;
  if (s.size() < std::abs(width)) {
    int addLeft = width < 0 ? 0 : (width - static_cast<int>(s.size()));
    if (addLeft < 0) addLeft = 0;
    int addRight = width < 0 ? (-width - static_cast<int>(s.size())) : 0;
    if (addRight < 0) addRight = 0;
    for (int i = addLeft; i--;) oss << " ";
    oss << s;
    for (int i = addRight; i--;) oss << " ";
    return oss.str();
  } else {
    return s;
  }
}

std::string b_show_int(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  GCLock lock;
  Expression* e = eval_par(env, call->arg(1));
  std::ostringstream oss;
  if (IntLit* iv = e->dyn_cast<IntLit>()) {
    int justify = static_cast<int>(eval_int(env, call->arg(0)).toInt());
    std::ostringstream oss_length;
    oss_length << iv->v();
    int iv_length = static_cast<int>(oss_length.str().size());
    int addLeft = justify < 0 ? 0 : (justify - iv_length);
    if (addLeft < 0) addLeft = 0;
    int addRight = justify < 0 ? (-justify - iv_length) : 0;
    if (addRight < 0) addRight = 0;
    for (int i = addLeft; i--;) oss << " ";
    oss << iv->v();
    for (int i = addRight; i--;) oss << " ";
  } else {
    Printer p(oss, 0, false);
    p.print(e);
  }
  return oss.str();
}

std::string b_show_float(EnvI& env, Call* call) {
  assert(call->n_args() == 3);
  GCLock lock;
  Expression* e = eval_par(env, call->arg(2));
  std::ostringstream oss;
  if (FloatLit* fv = e->dyn_cast<FloatLit>()) {
    int justify = static_cast<int>(eval_int(env, call->arg(0)).toInt());
    int prec = static_cast<int>(eval_int(env, call->arg(1)).toInt());
    if (prec < 0)
      throw EvalError(env, call->arg(1)->loc(),
                      "number of digits in show_float cannot be negative");
    std::ostringstream oss_length;
    oss_length << std::setprecision(prec) << std::fixed << fv->v();
    int fv_length = static_cast<int>(oss_length.str().size());
    int addLeft = justify < 0 ? 0 : (justify - fv_length);
    if (addLeft < 0) addLeft = 0;
    int addRight = justify < 0 ? (-justify - fv_length) : 0;
    if (addRight < 0) addRight = 0;
    for (int i = addLeft; i--;) oss << " ";
    oss << std::setprecision(prec) << std::fixed << fv->v();
    for (int i = addRight; i--;) oss << " ";
  } else {
    Printer p(oss, 0, false);
    p.print(e);
  }
  return oss.str();
}

std::string b_file_path(EnvI&, Call* call) {
  return FileUtils::file_path(call->loc().filename().str());
}

std::string b_concat(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  std::ostringstream oss;
  for (unsigned int i = 0; i < al->size(); i++) {
    oss << eval_string(env, (*al)[i]);
  }
  return oss.str();
}

std::string b_join(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  std::string sep = eval_string(env, call->arg(0));
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(1));
  std::ostringstream oss;
  for (unsigned int i = 0; i < al->size(); i++) {
    oss << eval_string(env, (*al)[i]);
    if (i < al->size() - 1) oss << sep;
  }
  return oss.str();
}

IntSetVal* b_array_union(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->size() == 0) return IntSetVal::a();
  IntSetVal* isv = eval_intset(env, (*al)[0]);
  for (unsigned int i = 0; i < al->size(); i++) {
    IntSetRanges i0(isv);
    IntSetRanges i1(eval_intset(env, (*al)[i]));
    Ranges::Union<IntVal, IntSetRanges, IntSetRanges> u(i0, i1);
    isv = IntSetVal::ai(u);
  }
  return isv;
}

IntSetVal* b_array_intersect(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  std::vector<IntSetVal::Range> ranges;
  if (al->size() > 0) {
    IntSetVal* i0 = eval_intset(env, (*al)[0]);
    if (i0->size() > 0) {
      IntSetRanges i0r(i0);
      IntVal min = i0r.min();
      while (i0r()) {
        // Initialize with last interval
        IntVal max = i0r.max();
        // Intersect with all other intervals
      restart:
        for (int j = al->size(); j--;) {
          IntSetRanges ij(eval_intset(env, (*al)[j]));
          // Skip intervals that are too small
          while (ij() && (ij.max() < min)) ++ij;
          if (!ij()) goto done;
          if (ij.min() > max) {
            min = ij.min();
            max = ij.max();
            goto restart;
          }
          // Now the intervals overlap
          if (min < ij.min()) min = ij.min();
          if (max > ij.max()) max = ij.max();
        }
        ranges.push_back(IntSetVal::Range(min, max));
        // The next interval must be at least two elements away
        min = max + 2;
      }
    done:
      return IntSetVal::a(ranges);
    } else {
      return IntSetVal::a();
    }
  } else {
    return IntSetVal::a();
  }
}

Expression* b_sort_by_int(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  ArrayLit* order_e = eval_array_lit(env, call->arg(1));
  std::vector<IntVal> order(order_e->size());
  std::vector<int> a(order_e->size());
  for (unsigned int i = 0; i < order.size(); i++) {
    a[i] = i;
    order[i] = eval_int(env, (*order_e)[i]);
  }
  struct Ord {
    std::vector<IntVal>& order;
    Ord(std::vector<IntVal>& order0) : order(order0) {}
    bool operator()(int i, int j) { return order[i] < order[j]; }
  } _ord(order);
  std::stable_sort(a.begin(), a.end(), _ord);
  std::vector<Expression*> sorted(a.size());
  for (unsigned int i = static_cast<unsigned int>(sorted.size()); i--;) sorted[i] = (*al)[a[i]];
  ArrayLit* al_sorted = new ArrayLit(al->loc(), sorted);
  al_sorted->type(al->type());
  return al_sorted;
}

Expression* b_sort_by_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  ArrayLit* order_e = eval_array_lit(env, call->arg(1));
  std::vector<FloatVal> order(order_e->size());
  std::vector<int> a(order_e->size());
  for (unsigned int i = 0; i < order.size(); i++) {
    a[i] = i;
    order[i] = eval_float(env, (*order_e)[i]);
  }
  struct Ord {
    std::vector<FloatVal>& order;
    Ord(std::vector<FloatVal>& order0) : order(order0) {}
    bool operator()(int i, int j) { return order[i] < order[j]; }
  } _ord(order);
  std::stable_sort(a.begin(), a.end(), _ord);
  std::vector<Expression*> sorted(a.size());
  for (unsigned int i = static_cast<unsigned int>(sorted.size()); i--;) sorted[i] = (*al)[a[i]];
  ArrayLit* al_sorted = new ArrayLit(al->loc(), sorted);
  al_sorted->type(al->type());
  return al_sorted;
}

Expression* b_sort(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  std::vector<Expression*> sorted(al->size());
  for (unsigned int i = static_cast<unsigned int>(sorted.size()); i--;) sorted[i] = (*al)[i];
  struct Ord {
    EnvI& env;
    Ord(EnvI& env0) : env(env0) {}
    bool operator()(Expression* e0, Expression* e1) {
      switch (e0->type().bt()) {
        case Type::BT_INT:
          return eval_int(env, e0) < eval_int(env, e1);
        case Type::BT_BOOL:
          return eval_bool(env, e0) < eval_bool(env, e1);
        case Type::BT_FLOAT:
          return eval_float(env, e0) < eval_float(env, e1);
        default:
          throw EvalError(env, e0->loc(), "unsupported type for sorting");
      }
    }
  } _ord(env);
  std::sort(sorted.begin(), sorted.end(), _ord);
  ArrayLit* al_sorted = new ArrayLit(al->loc(), sorted);
  al_sorted->type(al->type());
  return al_sorted;
}

std::default_random_engine& rnd_generator(void) {
  // TODO: initiate with seed if given as annotation/in command line
  static std::default_random_engine g;
  return g;
}

FloatVal b_normal_float_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double mean = eval_float(env, call->arg(0)).toDouble();
  const double stdv = eval_float(env, call->arg(1)).toDouble();
  std::normal_distribution<double> distribution(mean, stdv);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_normal_int_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double mean = double(eval_int(env, call->arg(0)).toInt());
  const double stdv = eval_float(env, call->arg(1)).toDouble();
  std::normal_distribution<double> distribution(mean, stdv);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_uniform_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double lb = eval_float(env, call->arg(0)).toDouble();
  const double ub = eval_float(env, call->arg(1)).toDouble();
  if (lb > ub) {
    std::stringstream ssm;
    ssm << "lowerbound of uniform distribution \"" << lb
        << "\" is higher than its upperbound: " << ub;
    throw EvalError(env, call->arg(0)->loc(), ssm.str());
  }
  std::uniform_real_distribution<double> distribution(lb, ub);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

IntVal b_uniform_int(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const long long int lb = eval_int(env, call->arg(0)).toInt();
  const long long int ub = eval_int(env, call->arg(1)).toInt();
  if (lb > ub) {
    std::stringstream ssm;
    ssm << "lowerbound of uniform distribution \"" << lb
        << "\" is higher than its upperbound: " << ub;
    throw EvalError(env, call->arg(0)->loc(), ssm.str());
  }
  std::uniform_int_distribution<long long int> distribution(lb, ub);
  // return a sample from the distribution
  return IntVal(distribution(rnd_generator()));
}

IntVal b_poisson_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  long long int mean = eval_int(env, call->arg(0)).toInt();
  std::poisson_distribution<long long int> distribution(mean);
  // return a sample from the distribution
  return IntVal(distribution(rnd_generator()));
}

IntVal b_poisson_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  double mean = eval_float(env, call->arg(0)).toDouble();
  std::poisson_distribution<long long int> distribution(mean);
  // return a sample from the distribution
  return IntVal(distribution(rnd_generator()));
}

FloatVal b_gamma_float_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double alpha = eval_float(env, call->arg(0)).toDouble();
  const double beta = eval_float(env, call->arg(1)).toDouble();
  std::gamma_distribution<double> distribution(alpha, beta);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_gamma_int_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double alpha = eval_float(env, call->arg(0)).toDouble();
  const double beta = eval_float(env, call->arg(1)).toDouble();
  std::gamma_distribution<double> distribution(alpha, beta);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_weibull_int_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double shape = double(eval_int(env, call->arg(0)).toInt());
  if (shape < 0) {
    std::stringstream ssm;
    ssm << "The shape factor for the weibull distribution \"" << shape
        << "\" has to be greater than zero.";
    throw EvalError(env, call->arg(0)->loc(), ssm.str());
  }
  const double scale = eval_float(env, call->arg(1)).toDouble();
  if (scale < 0) {
    std::stringstream ssm;
    ssm << "The scale factor for the weibull distribution \"" << scale
        << "\" has to be greater than zero.";
    throw EvalError(env, call->arg(1)->loc(), ssm.str());
  }
  std::weibull_distribution<double> distribution(shape, scale);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_weibull_float_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double shape = eval_float(env, call->arg(0)).toDouble();
  if (shape < 0) {
    std::stringstream ssm;
    ssm << "The shape factor for the weibull distribution \"" << shape
        << "\" has to be greater than zero.";
    throw EvalError(env, call->arg(0)->loc(), ssm.str());
  }
  const double scale = eval_float(env, call->arg(1)).toDouble();
  if (scale < 0) {
    std::stringstream ssm;
    ssm << "The scale factor for the weibull distribution \"" << scale
        << "\" has to be greater than zero.";
    throw EvalError(env, call->arg(1)->loc(), ssm.str());
  }
  std::weibull_distribution<double> distribution(shape, scale);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_exponential_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  const double lambda = eval_float(env, call->arg(0)).toDouble();
  if (lambda < 0) {
    std::stringstream ssm;
    ssm << "The lambda-parameter for the exponential distribution function \"" << lambda
        << "\" has to be greater than zero.";
    throw EvalError(env, call->arg(0)->loc(), ssm.str());
  }
  std::exponential_distribution<double> distribution(lambda);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_exponential_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  const double lambda = double(eval_int(env, call->arg(0)).toInt());
  if (lambda < 0) {
    std::stringstream ssm;
    ssm << "The lambda-parameter for the exponential distribution function \"" << lambda
        << "\" has to be greater than zero.";
    throw EvalError(env, call->arg(0)->loc(), ssm.str());
  }
  std::exponential_distribution<double> distribution(lambda);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_lognormal_float_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double mean = eval_float(env, call->arg(0)).toDouble();
  const double stdv = eval_float(env, call->arg(1)).toDouble();
  std::lognormal_distribution<double> distribution(mean, stdv);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_lognormal_int_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double mean = double(eval_int(env, call->arg(0)).toInt());
  const double stdv = eval_float(env, call->arg(1)).toDouble();
  std::lognormal_distribution<double> distribution(mean, stdv);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_chisquared_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  const double lambda = eval_float(env, call->arg(0)).toDouble();
  std::exponential_distribution<double> distribution(lambda);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_chisquared_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  const double lambda = double(eval_int(env, call->arg(0)).toInt());
  std::exponential_distribution<double> distribution(lambda);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_cauchy_float_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double mean = eval_float(env, call->arg(0)).toDouble();
  const double scale = eval_float(env, call->arg(1)).toDouble();
  std::cauchy_distribution<double> distribution(mean, scale);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_cauchy_int_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double mean = double(eval_int(env, call->arg(0)).toInt());
  const double scale = eval_float(env, call->arg(1)).toDouble();
  std::cauchy_distribution<double> distribution(mean, scale);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_fdistribution_float_float(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double d1 = eval_float(env, call->arg(0)).toDouble();
  const double d2 = eval_float(env, call->arg(1)).toDouble();
  std::fisher_f_distribution<double> distribution(d1, d2);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_fdistribution_int_int(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  const double d1 = double(eval_int(env, call->arg(0)).toInt());
  const double d2 = double(eval_int(env, call->arg(1)).toInt());
  std::fisher_f_distribution<double> distribution(d1, d2);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_tdistribution_float(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  const double sampleSize = eval_float(env, call->arg(0)).toDouble();
  std::student_t_distribution<double> distribution(sampleSize);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

FloatVal b_tdistribution_int(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  const double sampleSize = double(eval_int(env, call->arg(0)).toInt());
  std::student_t_distribution<double> distribution(sampleSize);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

IntVal b_discrete_distribution(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  ArrayLit* al = eval_array_lit(env, call->arg(0));
  if (al->dims() != 1) {
    std::stringstream ssm;
    ssm << "expecting 1-dimensional array of weights for discrete distribution instead of: " << *al
        << std::endl;
    throw EvalError(env, al->loc(), ssm.str());
  }
  std::vector<long long int> weights(al->size());
  for (unsigned int i = 0; i < al->size(); i++) {
    weights[i] = eval_int(env, (*al)[i]).toInt();
  }
#ifdef _MSC_VER
  std::size_t i(0);
  std::discrete_distribution<long long int> distribution(
      weights.size(), 0.0, 1.0, [&weights, &i](double) { return weights[i++]; });
#else
  std::discrete_distribution<long long int> distribution(weights.begin(), weights.end());
#endif
  // return a sample from the distribution
  IntVal iv = IntVal(distribution(rnd_generator()));
  return iv;
}

bool b_bernoulli(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  const double p = eval_float(env, call->arg(0)).toDouble();
  std::bernoulli_distribution distribution(p);
  // return a sample from the distribution
  return distribution(rnd_generator());
}

IntVal b_binomial(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  double t = double(eval_int(env, call->arg(0)).toInt());
  double p = eval_float(env, call->arg(1)).toDouble();
  std::binomial_distribution<long long int> distribution(t, p);
  // return a sample from the distribution
  return IntVal(distribution(rnd_generator()));
}

FloatVal b_atan(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  FloatVal f = eval_float(env, call->arg(0));
  return std::atan(f.toDouble());
}

FloatVal b_cos(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  FloatVal f = eval_float(env, call->arg(0));
  return std::cos(f.toDouble());
}

FloatVal b_sin(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  FloatVal f = eval_float(env, call->arg(0));
  return std::sin(f.toDouble());
}

FloatVal b_asin(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  FloatVal f = eval_float(env, call->arg(0));
  return std::asin(f.toDouble());
}

FloatVal b_acos(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  FloatVal f = eval_float(env, call->arg(0));
  return std::acos(f.toDouble());
}

FloatVal b_tan(EnvI& env, Call* call) {
  assert(call->n_args() == 1);
  GCLock lock;
  FloatVal f = eval_float(env, call->arg(0));
  return std::tan(f.toDouble());
}

IntVal b_to_enum(EnvI& env, Call* call) {
  assert(call->n_args() == 2);
  IntSetVal* isv = eval_intset(env, call->arg(0));
  IntVal v = eval_int(env, call->arg(1));
  if (!isv->contains(v))
    throw ResultUndefinedError(env, call->loc(), "value outside of enum range");
  return v;
}

IntVal b_enum_next(EnvI& env, Call* call) {
  IntSetVal* isv = eval_intset(env, call->arg(0));
  IntVal v = eval_int(env, call->arg(1));
  if (!isv->contains(v + 1))
    throw ResultUndefinedError(env, call->loc(), "value outside of enum range");
  return v + 1;
}

IntVal b_enum_prev(EnvI& env, Call* call) {
  IntSetVal* isv = eval_intset(env, call->arg(0));
  IntVal v = eval_int(env, call->arg(1));
  if (!isv->contains(v - 1))
    throw ResultUndefinedError(env, call->loc(), "value outside of enum range");
  return v - 1;
}

IntVal b_mzn_compiler_version(EnvI&, Call*) {
  return atoi(MZN_VERSION_MAJOR) * 10000 + atoi(MZN_VERSION_MINOR) * 1000 + atoi(MZN_VERSION_PATCH);
}

Expression* b_slice(EnvI& env, Call* call) {
  ArrayLit* al = eval_array_lit(env, call->arg(0));

  ArrayLit* slice = eval_array_lit(env, call->arg(1));
  std::vector<std::pair<int, int>> newSlice(slice->size());
  for (unsigned int i = 0; i < slice->size(); i++) {
    IntSetVal* isv = eval_intset(env, (*slice)[i]);
    if (isv->size() == 0) {
      newSlice[i] = std::pair<int, int>(1, 0);
    } else {
      if (isv->size() > 1)
        throw ResultUndefinedError(env, call->loc(), "array slice must be contiguous");
      int sl_min = isv->min().isFinite() ? static_cast<int>(isv->min().toInt()) : al->min(i);
      int sl_max = isv->max().isFinite() ? static_cast<int>(isv->max().toInt()) : al->max(i);
      if (sl_min < al->min(i) || sl_max > al->max(i))
        throw ResultUndefinedError(env, call->loc(), "array slice out of bounds");
      newSlice[i] = std::pair<int, int>(sl_min, sl_max);
    }
  }

  std::vector<std::pair<int, int>> newDims(call->n_args() - 2);
  for (unsigned int i = 0; i < newDims.size(); i++) {
    IntSetVal* isv = eval_intset(env, call->arg(2 + i));
    if (isv->size() == 0) {
      newDims[i] = std::pair<int, int>(1, 0);
    } else {
      newDims[i] = std::pair<int, int>(static_cast<int>(isv->min().toInt()),
                                       static_cast<int>(isv->max().toInt()));
    }
  }
  ArrayLit* ret = new ArrayLit(al->loc(), al, newDims, newSlice);
  ret->type(call->type());
  return ret;
}

Expression* b_regular_from_string(EnvI& env, Call* call) {
#ifdef HAS_GECODE
  using namespace Gecode;
  ArrayLit* vars = eval_array_lit(env, call->arg(0));
  std::string expr = eval_string(env, call->arg(1));

  IntSetVal* dom;
  if (vars->size() == 0) {
    dom = IntSetVal::a();
  } else {
    dom = b_dom_varint(env, (*vars)[0]);
    for (unsigned int i = 1; i < vars->size(); i++) {
      IntSetRanges isr(dom);
      IntSetRanges r(b_dom_varint(env, (*vars)[i]));
      Ranges::Union<IntVal, IntSetRanges, IntSetRanges> u(isr, r);
      dom = IntSetVal::ai(u);
    }
  }
  int card = dom->max().toInt() - dom->min().toInt() + 1;
  int offset = 1 - dom->min().toInt();

  std::unique_ptr<REG> regex;
  try {
    regex = regex_from_string(expr, *dom, env.reverseEnum);
  } catch (const std::exception& e) {
    throw SyntaxError(call->arg(1)->loc(), e.what());
  }
  DFA dfa = DFA(*regex);

  std::vector<std::vector<Expression*>> reg_trans(
      dfa.n_states(), std::vector<Expression*>(card, IntLit::a(IntVal(0))));

  DFA::Transitions trans(dfa);
  while (trans()) {
    //      std::cerr << trans.i_state() + 1 << " -- " << trans.symbol() << " --> " <<
    //      trans.o_state() + 1 << "\n";
    if (trans.symbol() >= dom->min().toInt() && trans.symbol() <= dom->max().toInt()) {
      reg_trans[trans.i_state()][trans.symbol() + offset - 1] =
          IntLit::a(IntVal(trans.o_state() + 1));
    }
    ++trans;
  }

  std::vector<Expression*> args(6);
  if (offset == 0) {
    args[0] = vars;  // x
  } else {
    std::vector<Expression*> nvars(vars->size());
    IntLit* loffset = IntLit::a(IntVal(offset));
    for (int i = 0; i < nvars.size(); ++i) {
      nvars[i] = new BinOp(call->loc().introduce(), (*vars)[i], BOT_PLUS, loffset);
      nvars[i]->type(Type::varint());
    }
    args[0] = new ArrayLit(call->loc().introduce(), nvars);  // x
    args[0]->type(Type::varint(1));
  }
  args[1] = IntLit::a(IntVal(dfa.n_states()));  // Q
  args[1]->type(Type::parint());
  args[2] = IntLit::a(IntVal(card));  // S
  args[2]->type(Type::parint());
  args[3] = new ArrayLit(call->loc().introduce(), reg_trans);  // d
  args[3]->type(Type::parint(2));
  args[4] = IntLit::a(IntVal(1));  // q0
  args[4]->type(Type::parint());
  args[5] = new SetLit(call->loc().introduce(),
                       IntSetVal::a(IntVal(dfa.final_fst() + 1), IntVal(dfa.final_lst())));  // F
  args[5]->type(Type::parsetint());

  auto nc = new Call(call->loc().introduce(), "regular", args);
  nc->type(Type::varbool());

  return nc;
#else
  throw FlatteningError(
      env, call->loc(),
      "MiniZinc was compiled without built-in Gecode, cannot parse regular expression");
#endif
}

void registerBuiltins(Env& e) {
  EnvI& env = e.envi();
  Model* m = env.model;

  std::vector<Type> t_intint(2);
  t_intint[0] = Type::parint();
  t_intint[1] = Type::parint();

  std::vector<Type> t_intarray(1);
  t_intarray[0] = Type::parint(-1);

  GCLock lock;

  rb(env, m, ASTString("min"), t_intint, b_int_min);
  rb(env, m, ASTString("min"), t_intarray, b_int_min);
  rb(env, m, ASTString("max"), t_intint, b_int_max);
  rb(env, m, ASTString("max"), t_intarray, b_int_max);
  rb(env, m, constants().ids.sum, t_intarray, b_sum_int);
  rb(env, m, ASTString("product"), t_intarray, b_product_int);
  rb(env, m, ASTString("pow"), t_intint, b_pow_int);

  {
    std::vector<Type> t(2);
    t[0] = Type::top(-1);
    t[1] = Type::top(-1);
    rb(env, m, ASTString("index_sets_agree"), t, b_index_sets_agree);
  }
  {
    std::vector<Type> t_anyarray1(1);
    t_anyarray1[0] = Type::optvartop(1);
    rb(env, m, ASTString("index_set"), t_anyarray1, b_index_set1);
  }
  {
    std::vector<Type> t_anyarray2(1);
    t_anyarray2[0] = Type::optvartop(2);
    rb(env, m, ASTString("index_set_1of2"), t_anyarray2, b_index_set1);
    rb(env, m, ASTString("index_set_2of2"), t_anyarray2, b_index_set2);
  }
  {
    std::vector<Type> t_anyarray3(1);
    t_anyarray3[0] = Type::optvartop(3);
    rb(env, m, ASTString("index_set_1of3"), t_anyarray3, b_index_set1);
    rb(env, m, ASTString("index_set_2of3"), t_anyarray3, b_index_set2);
    rb(env, m, ASTString("index_set_3of3"), t_anyarray3, b_index_set3);
  }
  {
    std::vector<Type> t_anyarray4(1);
    t_anyarray4[0] = Type::optvartop(4);
    rb(env, m, ASTString("index_set_1of4"), t_anyarray4, b_index_set1);
    rb(env, m, ASTString("index_set_2of4"), t_anyarray4, b_index_set2);
    rb(env, m, ASTString("index_set_3of4"), t_anyarray4, b_index_set3);
    rb(env, m, ASTString("index_set_4of4"), t_anyarray4, b_index_set4);
  }
  {
    std::vector<Type> t_anyarray5(1);
    t_anyarray5[0] = Type::optvartop(5);
    rb(env, m, ASTString("index_set_1of5"), t_anyarray5, b_index_set1);
    rb(env, m, ASTString("index_set_2of5"), t_anyarray5, b_index_set2);
    rb(env, m, ASTString("index_set_3of5"), t_anyarray5, b_index_set3);
    rb(env, m, ASTString("index_set_4of5"), t_anyarray5, b_index_set4);
    rb(env, m, ASTString("index_set_5of5"), t_anyarray5, b_index_set5);
  }
  {
    std::vector<Type> t_anyarray6(1);
    t_anyarray6[0] = Type::optvartop(6);
    rb(env, m, ASTString("index_set_1of6"), t_anyarray6, b_index_set1);
    rb(env, m, ASTString("index_set_2of6"), t_anyarray6, b_index_set2);
    rb(env, m, ASTString("index_set_3of6"), t_anyarray6, b_index_set3);
    rb(env, m, ASTString("index_set_4of6"), t_anyarray6, b_index_set4);
    rb(env, m, ASTString("index_set_5of6"), t_anyarray6, b_index_set5);
    rb(env, m, ASTString("index_set_6of6"), t_anyarray6, b_index_set6);
  }
  {
    std::vector<Type> t_arrayXd(1);
    t_arrayXd[0] = Type::top(-1);
    rb(env, m, ASTString("array1d"), t_arrayXd, b_array1d_list);
    t_arrayXd[0].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("array1d"), t_arrayXd, b_array1d_list);
    t_arrayXd[0] = Type::vartop(-1);
    rb(env, m, ASTString("array1d"), t_arrayXd, b_array1d_list);
    t_arrayXd[0] = Type::optvartop(-1);
    rb(env, m, ASTString("array1d"), t_arrayXd, b_array1d_list);
  }
  {
    std::vector<Type> t_arrayXd(2);
    t_arrayXd[0] = Type::parsetint();
    t_arrayXd[1] = Type::top(-1);
    rb(env, m, ASTString("array1d"), t_arrayXd, b_array1d);
    t_arrayXd[1].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("array1d"), t_arrayXd, b_array1d);
    t_arrayXd[1] = Type::vartop(-1);
    rb(env, m, ASTString("array1d"), t_arrayXd, b_array1d);
    t_arrayXd[1] = Type::optvartop(-1);
    rb(env, m, ASTString("array1d"), t_arrayXd, b_array1d);
  }
  {
    std::vector<Type> t_arrayXd(2);
    t_arrayXd[0] = Type::optvartop(-1);
    t_arrayXd[1] = Type::top(-1);
    rb(env, m, ASTString("arrayXd"), t_arrayXd, b_arrayXd);
    t_arrayXd[1].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("arrayXd"), t_arrayXd, b_arrayXd);
    t_arrayXd[1] = Type::vartop(-1);
    rb(env, m, ASTString("arrayXd"), t_arrayXd, b_arrayXd);
    t_arrayXd[1] = Type::optvartop(-1);
    rb(env, m, ASTString("arrayXd"), t_arrayXd, b_arrayXd);
  }
  {
    std::vector<Type> t_arrayXd(3);
    t_arrayXd[0] = Type::parsetint();
    t_arrayXd[1] = Type::parsetint();
    t_arrayXd[2] = Type::top(-1);
    rb(env, m, ASTString("array2d"), t_arrayXd, b_array2d);
    t_arrayXd[2].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("array2d"), t_arrayXd, b_array2d);
    t_arrayXd[2] = Type::vartop(-1);
    rb(env, m, ASTString("array2d"), t_arrayXd, b_array2d);
    t_arrayXd[2] = Type::optvartop(-1);
    rb(env, m, ASTString("array2d"), t_arrayXd, b_array2d);
  }
  {
    std::vector<Type> t_arrayXd(4);
    t_arrayXd[0] = Type::parsetint();
    t_arrayXd[1] = Type::parsetint();
    t_arrayXd[2] = Type::parsetint();
    t_arrayXd[3] = Type::top(-1);
    rb(env, m, ASTString("array3d"), t_arrayXd, b_array3d);
    t_arrayXd[3].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("array3d"), t_arrayXd, b_array3d);
    t_arrayXd[3] = Type::vartop(-1);
    rb(env, m, ASTString("array3d"), t_arrayXd, b_array3d);
    t_arrayXd[3] = Type::optvartop(-1);
    rb(env, m, ASTString("array3d"), t_arrayXd, b_array3d);
  }
  {
    std::vector<Type> t_arrayXd(5);
    t_arrayXd[0] = Type::parsetint();
    t_arrayXd[1] = Type::parsetint();
    t_arrayXd[2] = Type::parsetint();
    t_arrayXd[3] = Type::parsetint();
    t_arrayXd[4] = Type::top(-1);
    rb(env, m, ASTString("array4d"), t_arrayXd, b_array4d);
    t_arrayXd[4].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("array4d"), t_arrayXd, b_array4d);
    t_arrayXd[4] = Type::vartop(-1);
    rb(env, m, ASTString("array4d"), t_arrayXd, b_array4d);
    t_arrayXd[4] = Type::optvartop(-1);
    rb(env, m, ASTString("array4d"), t_arrayXd, b_array4d);
  }
  {
    std::vector<Type> t_arrayXd(6);
    t_arrayXd[0] = Type::parsetint();
    t_arrayXd[1] = Type::parsetint();
    t_arrayXd[2] = Type::parsetint();
    t_arrayXd[3] = Type::parsetint();
    t_arrayXd[4] = Type::parsetint();
    t_arrayXd[5] = Type::top(-1);
    rb(env, m, ASTString("array5d"), t_arrayXd, b_array5d);
    t_arrayXd[5].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("array5d"), t_arrayXd, b_array5d);
    t_arrayXd[5] = Type::vartop(-1);
    rb(env, m, ASTString("array5d"), t_arrayXd, b_array5d);
    t_arrayXd[5] = Type::optvartop(-1);
    rb(env, m, ASTString("array5d"), t_arrayXd, b_array5d);
  }
  {
    std::vector<Type> t_arrayXd(7);
    t_arrayXd[0] = Type::parsetint();
    t_arrayXd[1] = Type::parsetint();
    t_arrayXd[2] = Type::parsetint();
    t_arrayXd[3] = Type::parsetint();
    t_arrayXd[4] = Type::parsetint();
    t_arrayXd[5] = Type::parsetint();
    t_arrayXd[6] = Type::top(-1);
    rb(env, m, ASTString("array6d"), t_arrayXd, b_array6d);
    t_arrayXd[6].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("array6d"), t_arrayXd, b_array6d);
    t_arrayXd[6] = Type::vartop(-1);
    rb(env, m, ASTString("array6d"), t_arrayXd, b_array6d);
    t_arrayXd[6] = Type::optvartop(-1);
    rb(env, m, ASTString("array6d"), t_arrayXd, b_array6d);
  }
  {
    std::vector<Type> stv(3);
    stv[0] = Type::partop(-1);
    stv[1] = Type::parsetint(1);
    stv[2] = Type::parsetint();
    rb(env, m, ASTString("slice_1d"), stv, b_slice);
    stv[0] = Type::vartop(-1);
    rb(env, m, ASTString("slice_1d"), stv, b_slice);
    stv[0] = Type::optvartop(-1);
    rb(env, m, ASTString("slice_1d"), stv, b_slice);
    stv[0] = Type::optpartop(-1);
    rb(env, m, ASTString("slice_1d"), stv, b_slice);

    stv.push_back(Type::parsetint());
    stv[0] = Type::partop(-1);
    rb(env, m, ASTString("slice_2d"), stv, b_slice);
    stv[0] = Type::vartop(-1);
    rb(env, m, ASTString("slice_2d"), stv, b_slice);
    stv[0] = Type::optvartop(-1);
    rb(env, m, ASTString("slice_2d"), stv, b_slice);
    stv[0] = Type::optpartop(-1);
    rb(env, m, ASTString("slice_2d"), stv, b_slice);

    stv.push_back(Type::parsetint());
    stv[0] = Type::partop(-1);
    rb(env, m, ASTString("slice_3d"), stv, b_slice);
    stv[0] = Type::vartop(-1);
    rb(env, m, ASTString("slice_3d"), stv, b_slice);
    stv[0] = Type::optvartop(-1);
    rb(env, m, ASTString("slice_3d"), stv, b_slice);
    stv[0] = Type::optpartop(-1);
    rb(env, m, ASTString("slice_3d"), stv, b_slice);

    stv.push_back(Type::parsetint());
    stv[0] = Type::partop(-1);
    rb(env, m, ASTString("slice_4d"), stv, b_slice);
    stv[0] = Type::vartop(-1);
    rb(env, m, ASTString("slice_4d"), stv, b_slice);
    stv[0] = Type::optvartop(-1);
    rb(env, m, ASTString("slice_4d"), stv, b_slice);
    stv[0] = Type::optpartop(-1);
    rb(env, m, ASTString("slice_4d"), stv, b_slice);

    stv.push_back(Type::parsetint());
    stv[0] = Type::partop(-1);
    rb(env, m, ASTString("slice_5d"), stv, b_slice);
    stv[0] = Type::vartop(-1);
    rb(env, m, ASTString("slice_5d"), stv, b_slice);
    stv[0] = Type::optvartop(-1);
    rb(env, m, ASTString("slice_5d"), stv, b_slice);
    stv[0] = Type::optpartop(-1);
    rb(env, m, ASTString("slice_5d"), stv, b_slice);

    stv.push_back(Type::parsetint());
    stv[0] = Type::partop(-1);
    rb(env, m, ASTString("slice_6d"), stv, b_slice);
    stv[0] = Type::vartop(-1);
    rb(env, m, ASTString("slice_6d"), stv, b_slice);
    stv[0] = Type::optvartop(-1);
    rb(env, m, ASTString("slice_6d"), stv, b_slice);
    stv[0] = Type::optpartop(-1);
    rb(env, m, ASTString("slice_6d"), stv, b_slice);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parbool();
    t[1] = Type::parstring();
    rb(env, m, constants().ids.assert, t, b_assert_bool);
  }
  {
    std::vector<Type> t(3);
    t[0] = Type::parbool();
    t[1] = Type::parstring();
    t[2] = Type::top();
    rb(env, m, constants().ids.assert, t, b_assert);
    t[2] = Type::vartop();
    rb(env, m, constants().ids.assert, t, b_assert);
    t[2] = Type::optvartop();
    rb(env, m, constants().ids.assert, t, b_assert);
    t[2] = Type::top(-1);
    rb(env, m, constants().ids.assert, t, b_assert);
    t[2] = Type::vartop(-1);
    rb(env, m, constants().ids.assert, t, b_assert);
    t[2] = Type::optvartop(-1);
    rb(env, m, constants().ids.assert, t, b_assert);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parstring();
    rb(env, m, ASTString("abort"), t, b_abort);
    rb(env, m, constants().ids.trace, t, b_trace);
    rb(env, m, ASTString("trace_stdout"), t, b_trace_stdout);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parstring();
    t[1] = Type::top();
    rb(env, m, constants().ids.trace, t, b_trace);
    rb(env, m, ASTString("trace_stdout"), t, b_trace_stdout);
    t[1] = Type::vartop();
    rb(env, m, constants().ids.trace, t, b_trace);
    rb(env, m, ASTString("trace_stdout"), t, b_trace_stdout);
    t[1] = Type::optvartop();
    rb(env, m, constants().ids.trace, t, b_trace);
    rb(env, m, ASTString("trace_stdout"), t, b_trace_stdout);
  }
  {
    rb(env, m, ASTString("mzn_in_redundant_constraint"), std::vector<Type>(),
       b_in_redundant_constraint);
  }
  {
    std::vector<Type> t_length(1);
    t_length[0] = Type::optvartop(-1);
    rb(env, m, ASTString("length"), t_length, b_length);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parbool();
    rb(env, m, constants().ids.bool2int, t, b_bool2int);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parbool(-1);
    rb(env, m, constants().ids.forall, t, b_forall_par);
    rb(env, m, constants().ids.exists, t, b_exists_par);
    rb(env, m, ASTString("xorall"), t, b_xorall_par);
    rb(env, m, ASTString("iffall"), t, b_iffall_par);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parbool(-1);
    t[1] = Type::parbool(-1);
    rb(env, m, constants().ids.clause, t, b_clause_par);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varsetint();
    rb(env, m, ASTString("ub"), t, b_ub_set);
    rb(env, m, ASTString("lb"), t, b_lb_set);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varsetint(1);
    rb(env, m, ASTString("ub_array"), t, b_array_ub_set);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint();
    rb(env, m, ASTString("dom"), t, b_dom_varint);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint(-1);
    rb(env, m, ASTString("dom_array"), t, b_dom_array);
    rb(env, m, ASTString("dom_bounds_array"), t, b_dom_bounds_array);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parsetint();
    rb(env, m, ASTString("min"), t, b_min_parsetint);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parsetint();
    rb(env, m, ASTString("max"), t, b_max_parsetint);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint();
    t[0].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("lb"), t, b_lb_varoptint);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint();
    t[0].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("ub"), t, b_ub_varoptint);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint();
    rb(env, m, ASTString("lb"), t, b_lb_varoptint);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint();
    rb(env, m, ASTString("ub"), t, b_ub_varoptint);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint(-1);
    t[0].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("lb_array"), t, b_array_lb_int);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint(-1);
    t[0].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("ub_array"), t, b_array_ub_int);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varfloat();
    rb(env, m, ASTString("lb"), t, b_lb_varoptfloat);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varfloat();
    rb(env, m, ASTString("ub"), t, b_ub_varoptfloat);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varfloat(-1);
    rb(env, m, ASTString("lb_array"), t, b_array_lb_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varfloat(-1);
    rb(env, m, ASTString("ub_array"), t, b_array_ub_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parsetint();
    rb(env, m, ASTString("card"), t, b_card);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parint();
    rb(env, m, ASTString("abs"), t, b_abs_int);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("abs"), t, b_abs_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varint();
    rb(env, m, ASTString("has_bounds"), t, b_has_bounds_int);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varfloat();
    rb(env, m, ASTString("has_bounds"), t, b_has_bounds_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::varsetint();
    rb(env, m, ASTString("has_ub_set"), t, b_has_ub_set);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::optvartop();
    rb(env, m, ASTString("is_fixed"), t, b_is_fixed);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::optvartop(-1);
    rb(env, m, ASTString("is_fixed"), t, b_is_fixed_array);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::optvartop();
    rb(env, m, ASTString("fix"), t, b_fix_bool);
    rb(env, m, ASTString("fix"), t, b_fix_int);
    rb(env, m, ASTString("fix"), t, b_fix_set);
    rb(env, m, ASTString("fix"), t, b_fix_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::optvartop(1);
    rb(env, m, ASTString("fix"), t, b_fix_array);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parint();
    rb(env, m, ASTString("int2float"), t, b_int2float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("ceil"), t, b_ceil);
    rb(env, m, ASTString("floor"), t, b_floor);
    rb(env, m, ASTString("round"), t, b_round);
    rb(env, m, ASTString("log10"), t, b_log10);
    rb(env, m, ASTString("log2"), t, b_log2);
    rb(env, m, ASTString("ln"), t, b_ln);
    rb(env, m, ASTString("exp"), t, b_exp);
    rb(env, m, ASTString("sqrt"), t, b_sqrt);
    t.push_back(Type::parfloat());
    rb(env, m, ASTString("log"), t, b_log);
    rb(env, m, ASTString("pow"), t, b_pow);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat(1);
    rb(env, m, constants().ids.sum, t, b_sum_float);
    rb(env, m, ASTString("product"), t, b_product_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat(1);
    rb(env, m, ASTString("min"), t, b_float_min);
    rb(env, m, ASTString("max"), t, b_float_max);

    t[0] = Type::parfloat();
    t.push_back(Type::parfloat());
    rb(env, m, ASTString("min"), t, b_float_min);
    rb(env, m, ASTString("max"), t, b_float_max);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parsetint();
    rb(env, m, ASTString("set2array"), t, b_set2array);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parstring();
    rb(env, m, ASTString("string_length"), t, b_string_length);
  }
  { rb(env, m, ASTString("file_path"), std::vector<Type>(), b_file_path); }
  {
    std::vector<Type> t(1);
    t[0] = Type::vartop();
    rb(env, m, ASTString("show"), t, b_show);
    rb(env, m, ASTString("showJSON"), t, b_show_json);
    t[0] = Type::vartop();
    t[0].st(Type::ST_SET);
    t[0].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("show"), t, b_show);
    rb(env, m, ASTString("showJSON"), t, b_show_json);
    t[0] = Type::vartop(-1);
    rb(env, m, ASTString("show"), t, b_show);
    rb(env, m, ASTString("showJSON"), t, b_show_json);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parstring();
    rb(env, m, ASTString("showDznId"), t, b_showDznId);
  }
  {
    std::vector<Type> t(3);
    t[0] = t[1] = Type::parint();
    t[2] = Type::vartop();
    rb(env, m, ASTString("format"), t, b_format);
    t[2] = Type::vartop();
    t[2].st(Type::ST_SET);
    t[2].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("format"), t, b_format);
    t[2] = Type::vartop(-1);
    rb(env, m, ASTString("format"), t, b_format);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parint();
    t[1] = Type::vartop();
    rb(env, m, ASTString("format"), t, b_format);
    t[1] = Type::vartop();
    t[1].st(Type::ST_SET);
    t[1].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("format"), t, b_format);
    t[1] = Type::vartop(-1);
    rb(env, m, ASTString("format"), t, b_format);
    t[1] = Type::parstring();
    rb(env, m, ASTString("format_justify_string"), t, b_format_justify_string);
  }
  {
    std::vector<Type> t;
    rb(env, m, ASTString("outputJSON"), t, b_outputJSON);
    rb(env, m, ASTString("outputJSONParameters"), t, b_outputJSONParameters);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parint();
    t[1] = Type::varint();
    rb(env, m, ASTString("show_int"), t, b_show_int);
  }
  {
    std::vector<Type> t(3);
    t[0] = Type::parint();
    t[1] = Type::parint();
    t[2] = Type::varfloat();
    rb(env, m, ASTString("show_float"), t, b_show_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parstring(1);
    rb(env, m, ASTString("concat"), t, b_concat);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parstring();
    t[1] = Type::parstring(1);
    rb(env, m, ASTString("join"), t, b_join);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::varint();
    t[1] = Type::varint();
    rb(env, m, ASTString("compute_div_bounds"), t, b_compute_div_bounds);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parsetint(1);
    rb(env, m, ASTString("array_intersect"), t, b_array_intersect);
    rb(env, m, ASTString("array_union"), t, b_array_union);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parint();
    t[0].ot(Type::OT_OPTIONAL);
    t[0].bt(Type::BT_TOP);
    rb(env, m, ASTString("occurs"), t, b_occurs);
    rb(env, m, ASTString("deopt"), t, b_deopt_expr);
    t[0].bt(Type::BT_INT);
    rb(env, m, ASTString("deopt"), t, b_deopt_int);
    t[0].bt(Type::BT_BOOL);
    rb(env, m, ASTString("deopt"), t, b_deopt_bool);
    t[0].bt(Type::BT_FLOAT);
    rb(env, m, ASTString("deopt"), t, b_deopt_float);
    t[0].bt(Type::BT_STRING);
    rb(env, m, ASTString("deopt"), t, b_deopt_string);
    t[0].bt(Type::BT_INT);
    t[0].st(Type::ST_SET);
    rb(env, m, ASTString("deopt"), t, b_deopt_intset);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::varbot(1);
    t[1] = Type::parint(1);
    rb(env, m, ASTString("sort_by"), t, b_sort_by_int);
    t[0] = Type::bot(1);
    rb(env, m, ASTString("sort_by"), t, b_sort_by_int);
    t[0].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("sort_by"), t, b_sort_by_int);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::varbot(1);
    t[1] = Type::parfloat(1);
    rb(env, m, ASTString("sort_by"), t, b_sort_by_float);
    t[0] = Type::bot(1);
    rb(env, m, ASTString("sort_by"), t, b_sort_by_float);
    t[0].ot(Type::OT_OPTIONAL);
    rb(env, m, ASTString("sort_by"), t, b_sort_by_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parint(1);
    rb(env, m, ASTString("sort"), t, b_sort);
    rb(env, m, ASTString("arg_min"), t, b_arg_min_int);
    rb(env, m, ASTString("arg_max"), t, b_arg_max_int);
    t[0] = Type::parbool(1);
    rb(env, m, ASTString("sort"), t, b_sort);
    t[0] = Type::parfloat(1);
    rb(env, m, ASTString("sort"), t, b_sort);
    rb(env, m, ASTString("arg_min"), t, b_arg_min_float);
    rb(env, m, ASTString("arg_max"), t, b_arg_max_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("atan"), t, b_atan);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("cos"), t, b_cos);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("sin"), t, b_sin);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("asin"), t, b_asin);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("acos"), t, b_acos);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("tan"), t, b_tan);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parfloat();
    t[1] = Type::parfloat();
    rb(env, m, ASTString("normal"), t, b_normal_float_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("normal"), t, b_normal_int_float);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parfloat();
    t[1] = Type::parfloat();
    rb(env, m, ASTString("uniform"), t, b_uniform_float);
    t[0] = Type::parint();
    t[1] = Type::parint();
    rb(env, m, ASTString("uniform"), t, b_uniform_int);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("poisson"), t, b_poisson_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("poisson"), t, b_poisson_int);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parfloat();
    t[1] = Type::parfloat();
    rb(env, m, ASTString("gamma"), t, b_gamma_float_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("gamma"), t, b_gamma_int_float);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parfloat();
    t[1] = Type::parfloat();
    rb(env, m, ASTString("weibull"), t, b_weibull_float_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("weibull"), t, b_weibull_int_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("exponential"), t, b_exponential_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("exponential"), t, b_exponential_int);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parfloat();
    t[1] = Type::parfloat();
    rb(env, m, ASTString("lognormal"), t, b_lognormal_float_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("lognormal"), t, b_lognormal_int_float);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("chisquared"), t, b_chisquared_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("chisquared"), t, b_chisquared_int);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parfloat();
    t[1] = Type::parfloat();
    rb(env, m, ASTString("cauchy"), t, b_cauchy_float_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("cauchy"), t, b_cauchy_int_float);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parfloat();
    t[1] = Type::parfloat();
    rb(env, m, ASTString("fdistribution"), t, b_fdistribution_float_float);
    t[0] = Type::parint();
    t[1] = Type::parint();
    rb(env, m, ASTString("fdistribution"), t, b_fdistribution_int_int);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parfloat();
    rb(env, m, ASTString("tdistribution"), t, b_tdistribution_float);
    t[0] = Type::parint();
    rb(env, m, ASTString("tdistribution"), t, b_tdistribution_int);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parint(1);
    rb(env, m, ASTString("discrete_distribution"), t, b_discrete_distribution);
  }
  {
    std::vector<Type> t(1);
    t[0] = Type::parint();
    rb(env, m, ASTString("bernoulli"), t, b_bernoulli);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parint();
    t[1] = Type::parfloat();
    rb(env, m, ASTString("binomial"), t, b_binomial);
  }
  {
    std::vector<Type> t(2);
    t[0] = Type::parsetint();
    t[1] = Type::parint();
    rb(env, m, ASTString("to_enum"), t, b_to_enum);
    rb(env, m, ASTString("enum_next"), t, b_enum_next);
    rb(env, m, ASTString("enum_prev"), t, b_enum_prev);
  }
  { rb(env, m, ASTString("mzn_compiler_version"), std::vector<Type>(), b_mzn_compiler_version); }
  {
    std::vector<Type> t(2);
    t[0] = Type::varint(1);
    t[1] = Type::parstring();
    rb(env, m, ASTString("fzn_regular"), t, b_regular_from_string, true);
  }
}

}  // namespace MiniZinc