path: root/021arithmetic.cc

//: Arithmetic primitives

:(before "End Primitive Recipe Declarations")
ADD,
:(before "End Primitive Recipe Numbers")
Recipe_ordinal["add"] = ADD;
:(before "End Primitive Recipe Implementations")
case ADD: {
  double result = 0;
  for (long long int i = 0; i < SIZE(ingredients); ++i) {
    assert(scalar(ingredients.at(i)));
    result += ingredients.at(i).at(0);
  }
  products.resize(1);
  products.at(0).push_back(result);
  break;
}

:(scenario add_literal)
recipe main [
  1:number <- add 23:literal, 34:literal
]
+mem: storing 57 in location 1

:(scenario add)
recipe main [
  1:number <- copy 23:literal
  2:number <- copy 34:literal
  3:number <- add 1:number, 2:number
]
+mem: storing 57 in location 3

:(scenario add_multiple)
recipe main [
  1:number <- add 3:literal, 4:literal, 5:literal
]
+mem: storing 12 in location 1

:(before "End Primitive Recipe Declarations")
SUBTRACT,
:(before "End Primitive Recipe Numbers")
Recipe_ordinal["subtract"] = SUBTRACT;
:(before "End Primitive Recipe Implementations")
case SUBTRACT: {
  assert(scalar(ingredients.at(0)));
  double result = ingredients.at(0).at(0);
  for (long long int i = 1; i < SIZE(ingredients); ++i) {
    assert(scalar(ingredients.at(i)));
    result -= ingredients.at(i).at(0);
  }
  products.resize(1);
  products.at(0).push_back(result);
  break;
}

:(scenario subtract_literal)
recipe main [
  1:number <- subtract 5:literal, 2:literal
]
+mem: storing 3 in location 1

:(scenario subtract)
recipe main [
  1:number <- copy 23:literal
  2:number <- copy 34:literal
  3:number <- subtract 1:number, 2:number
]
+mem: storing -11 in location 3

:(scenario subtract_multiple)
recipe main [
  1:number <- subtract 6:literal, 3:literal, 2:literal
]
+mem: storing 1 in location 1

:(before "End Primitive Recipe Declarations")
MULTIPLY,
:(before "End Primitive Recipe Numbers")
Recipe_ordinal["multiply"] = MULTIPLY;
:(before "End Primitive Recipe Implementations")
case MULTIPLY: {
  double result = 1;
  for (long long int i = 0; i < SIZE(ingredients); ++i) {
    assert(scalar(ingredients.at(i)));
    result *= ingredients.at(i).at(0);
  }
  products.resize(1);
  products.at(0).push_back(result);
  break;
}

:(scenario multiply_literal)
recipe main [
  1:number <- multiply 2:literal, 3:literal
]
+mem: storing 6 in location 1

:(scenario multiply)
recipe main [
  1:number <- copy 4:literal
  2:number <- copy 6:literal
  3:number <- multiply 1:number, 2:number
]
+mem: storing 24 in location 3

:(scenario multiply_multiple)
recipe main [
  1:number <- multiply 2:literal, 3:literal, 4:literal
]
+mem: storing 24 in location 1

:(before "End Primitive Recipe Declarations")
DIVIDE,
:(before "End Primitive Recipe Numbers")
Recipe_ordinal["divide"] = DIVIDE;
:(before "End Primitive Recipe Implementations")
case DIVIDE: {
  assert(scalar(ingredients.at(0)));
  double result = ingredients.at(0).at(0);
  for (long long int i = 1; i < SIZE(ingredients); ++i) {
    assert(scalar(ingredients.at(i)));
    result /= ingredients.at(i).at(0);
  }
  products.resize(1);
  products.at(0).push_back(result);
  break;
}

:(scenario divide_literal)
recipe main [
  1:number <- divide 8:literal, 2:literal
]
+mem: storing 4 in location 1

:(scenario divide)
recipe main [
  1:number <- copy 27:literal
  2:number <- copy 3:literal
  3:number <- divide 1:number, 2:number
]
+mem: storing 9 in location 3

:(scenario divide_multiple)
recipe main [
  1:number <- divide 12:literal, 3:literal, 2:literal
]
+mem: storing 2 in location 1

//: Integer division

:(before "End Primitive Recipe Declarations")
DIVIDE_WITH_REMAINDER,
:(before "End Primitive Recipe Numbers")
Recipe_ordinal["divide-with-remainder"] = DIVIDE_WITH_REMAINDER;
:(before "End Primitive Recipe Implementations")
case DIVIDE_WITH_REMAINDER: {
  long long int quotient = ingredients.at(0).at(0) / ingredients.at(1).at(0);
  long long int remainder = static_cast<long long int>(ingredients.at(0).at(0)) % static_cast<long long int>(ingredients.at(1).at(0));
  products.resize(2);
  // very large integers will lose precision
  products.at(0).push_back(quotient);
  products.at(1).push_back(remainder);
  break;
}

:(scenario divide_with_remainder_literal)
recipe main [
  1:number, 2:number <- divide-with-remainder 9:literal, 2:literal
]
+mem: storing 4 in location 1
+mem: storing 1 in location 2

:(scenario divide_with_remainder)
recipe main [
  1:number <- copy 27:literal
  2:number <- copy 11:literal
  3:number, 4:number <- divide-with-remainder 1:number, 2:number
]
+mem: storing 2 in location 3
+mem: storing 5 in location 4

:(scenario divide_with_decimal_point)
recipe main [
  # todo: literal floats?
  1:number <- divide 5:literal, 2:literal
]
+mem: storing 2.5 in location 1

:(code)
inline bool scalar(vector<long long int>& x) {
  return SIZE(x) == 1;
}
inline bool scalar(vector<double>& x) {
  return SIZE(x) == 1;
}