about summary refs log tree commit diff stats
path: root/022arithmetic.cc
blob: b16bc5846053b0adbd513743a9243be11aadb3a4 (plain) (blame)
1
2
3
4
5
6
7
8
pre { line-height: 125%; }
td.linenos .normal { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
span.linenos { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
td.linenos .special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
span.linenos.special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
.highlight .hll { background-color: #ffffcc }
.highlight .c { color: #888888 } /* Comment */
.highlight .err { color: #a61717; background-color: #e3d2d2 } /* Error */
.highlight .k { color: #008800; font-weight: bold } /* Keyword */
.highlight .ch { color: #888888 } /* Comment.Hashbang */
.highlight .cm { color: #888888 } /* Comment.Multiline */
.highlight .cp { color: #cc0000; font-weight: bold } /* Comment.Preproc */
.highlight .cpf { color: #888888 } /* Comment.PreprocFile */
.highlight .c1 { color: #888888 } /* Comment.Single */
.highlight .cs { color: #cc0000; font-weight: bold; background-color: #fff0f0 } /* Comment.Special */
.highlight .gd { color: #000000; background-color: #ffdddd } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .ges { font-weight: bold; font-style: italic } /* Generic.EmphStrong */
.highlight .gr { color: #aa0000 } /* Generic.Error */
.highlight .gh { color: #333333 } /* Generic.Heading */
.highlight .gi { color: #000000; background-color: #ddffdd } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #555555 } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #666666 } /* Generic.Subheading */
.highlight .gt { color: #aa0000 } /* Generic.Traceback */
.highlight .kc { color: #008800; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008800; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008800; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008800 } /* Keyword.Pseudo */
.highlight .kr { color: #008800; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #888888; font-weight: bold } /* Keyword.Type */
.highlight .m { color: #0000DD; font-weight: bold } /* Literal.Number */
.highlight .s { color: #dd2200; background-color: #fff0f0 } /* Literal.String */
.highlight .na { color: #336699 } /* Name.Attribute */
.highlight .nb { color: #003388 } /* Name.Builtin */
.highlight .nc { color: #bb0066; font-weight: bold } /* Name.Class */
.highlight .no { color: #003366; font-weight: bold } /* Name.Constant */
.highlight .nd { color: #555555 } /* Name.Decorator */
.highlight .ne { color: #bb0066; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0066bb; font-weight: bold } /* Name.Function */
.highlight .nl { color: #336699; font-style: italic } /* Name.Label */
.highlight .nn { color: #bb0066; font-weight: bold } /* Name.Namespace */
.highlight .py { color: #336699; font-weight: bold } /* Name.Property */
.highlight .nt { color: #bb0066; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #336699 } /* Name.Variable */
.highlight .ow { color: #008800 } /* Operator.Word */
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
.highlight .mb { color: #0000DD; font-weight: bold } /* Literal.Number.Bin */
.highlight .mf { color: #0000DD; font-weight: bold } /* Literal.Number.Float */
.highlight .mh { color: #0000DD; font-weight: bold } /* Literal.Number.Hex */
.highlight .mi { color: #0000DD; font-weight: bold } /* Literal.Number.Integer */
.highlight .mo { color: #0000DD; font-weight: bold } /* Literal.Number.Oct */
.highlight .sa { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Affix */
.highlight .sb { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Backtick */
.highlight .sc { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Char */
.highlight .dl { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Delimiter */
.highlight .sd { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Doc */
.highlight .s2 { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Double */
.highlight .se { color: #0044dd; background-color: #fff0f0 } /* Literal.String.Escape */
.highlight .sh { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Heredoc */
.highlight .si { color: #3333bb; background-color: #fff0f0 } /* Literal.String.Interpol */
.highlight .sx { color: #22bb22; background-color: #f0fff0 } /* Literal.String.Other */
.highlight .sr { color: #008800; background-color: #fff0ff } /* Literal.String.Regex */
.highlight .s1 { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Single */
.highlight .ss { color: #aa6600; background-color: #fff0f0 } /* Literal.String.Symbol */
.highlight .bp { color: #003388 } /* Name.Builtin.Pseudo */
.highlight .fm { color: #0066bb; font-weight: bold } /* Name.Function.Magic */
.highlight .vc { color: #336699 } /* Name.Variable.Class */
.highlight .vg { color: #dd7700 } /* Name.Variable.Global */
.highlight .vi { color: #3333bb } /* Name.Variable.Instance */
.highlight .vm { color: #336699 } /* Name.Variable.Magic */
.highlight .il { color: #0000DD; font-weight: bold } /* Literal.Number.Integer.Long */
#!/bin/sh
set -e

rm -rf linkify *.dSYM
a> 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316
//: Arithmetic primitives

:(before "End Primitive Recipe Declarations")
ADD,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "add", ADD);
:(before "End Primitive Recipe Checks")
case ADD: {
  // primary goal of these checks is to forbid address arithmetic
  for (long long int i = 0; i < SIZE(inst.ingredients); ++i) {
    if (!is_mu_number(inst.ingredients.at(i))) {
      raise_error << maybe(get(Recipe, r).name) << "'add' requires number ingredients, but got " << inst.ingredients.at(i).original_string << '\n' << end();
      goto finish_checking_instruction;
    }
  }
  if (SIZE(inst.products) > 1) {
    raise_error << maybe(get(Recipe, r).name) << "'add' yields exactly one product in '" << inst.to_string() << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise_error << maybe(get(Recipe, r).name) << "'add' should yield a number, but got " << inst.products.at(0).original_string << '\n' << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case ADD: {
  double result = 0;
  for (long long int i = 0; i < SIZE(ingredients); ++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, 34
]
+mem: storing 57 in location 1

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

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

:(scenario add_checks_type)
% Hide_errors = true;
recipe main [
  1:number <- add 2:boolean, 1
]
+error: main: 'add' requires number ingredients, but got 2:boolean

:(scenario add_checks_return_type)
% Hide_errors = true;
recipe main [
  1:address:number <- add 2, 2
]
+error: main: 'add' should yield a number, but got 1:address:number

:(before "End Primitive Recipe Declarations")
SUBTRACT,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "subtract", SUBTRACT);
:(before "End Primitive Recipe Checks")
case SUBTRACT: {
  if (inst.ingredients.empty()) {
    raise_error << maybe(get(Recipe, r).name) << "'subtract' has no ingredients\n" << end();
    break;
  }
  for (long long int i = 0; i < SIZE(inst.ingredients); ++i) {
    if (is_raw(inst.ingredients.at(i))) continue;  // permit address offset computations in tests
    if (!is_mu_number(inst.ingredients.at(i))) {
      raise_error << maybe(get(Recipe, r).name) << "'subtract' requires number ingredients, but got " << inst.ingredients.at(i).original_string << '\n' << end();
      goto finish_checking_instruction;
    }
  }
  if (SIZE(inst.products) > 1) {
    raise_error << maybe(get(Recipe, r).name) << "'subtract' yields exactly one product in '" << inst.to_string() << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise_error << maybe(get(Recipe, r).name) << "'subtract' should yield a number, but got " << inst.products.at(0).original_string << '\n' << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case SUBTRACT: {
  double result = ingredients.at(0).at(0);
  for (long long int i = 1; i < SIZE(ingredients); ++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, 2
]
+mem: storing 3 in location 1

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

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

:(before "End Primitive Recipe Declarations")
MULTIPLY,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "multiply", MULTIPLY);
:(before "End Primitive Recipe Checks")
case MULTIPLY: {
  for (long long int i = 0; i < SIZE(inst.ingredients); ++i) {
    if (!is_mu_number(inst.ingredients.at(i))) {
      raise_error << maybe(get(Recipe, r).name) << "'multiply' requires number ingredients, but got " << inst.ingredients.at(i).original_string << '\n' << end();
      goto finish_checking_instruction;
    }
  }
  if (SIZE(inst.products) > 1) {
    raise_error << maybe(get(Recipe, r).name) << "'multiply' yields exactly one product in '" << inst.to_string() << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise_error << maybe(get(Recipe, r).name) << "'multiply' should yield a number, but got " << inst.products.at(0).original_string << '\n' << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case MULTIPLY: {
  double result = 1;
  for (long long int i = 0; i < SIZE(ingredients); ++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, 3
]
+mem: storing 6 in location 1

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

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

:(before "End Primitive Recipe Declarations")
DIVIDE,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "divide", DIVIDE);
:(before "End Primitive Recipe Checks")
case DIVIDE: {
  if (inst.ingredients.empty()) {
    raise_error << maybe(get(Recipe, r).name) << "'divide' has no ingredients\n" << end();
    break;
  }
  for (long long int i = 0; i < SIZE(inst.ingredients); ++i) {
    if (!is_mu_number(inst.ingredients.at(i))) {
      raise_error << maybe(get(Recipe, r).name) << "'divide' requires number ingredients, but got " << inst.ingredients.at(i).original_string << '\n' << end();
      goto finish_checking_instruction;
    }
  }
  if (SIZE(inst.products) > 1) {
    raise_error << maybe(get(Recipe, r).name) << "'divide' yields exactly one product in '" << inst.to_string() << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise_error << maybe(get(Recipe, r).name) << "'divide' should yield a number, but got " << inst.products.at(0).original_string << '\n' << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case DIVIDE: {
  double result = ingredients.at(0).at(0);
  for (long long int i = 1; i < SIZE(ingredients); ++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, 2
]
+mem: storing 4 in location 1

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

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

//: Integer division

:(before "End Primitive Recipe Declarations")
DIVIDE_WITH_REMAINDER,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "divide-with-remainder", DIVIDE_WITH_REMAINDER);
:(before "End Primitive Recipe Checks")
case DIVIDE_WITH_REMAINDER: {
  if (SIZE(inst.ingredients) != 2) {
    raise_error << maybe(get(Recipe, r).name) << "'divide-with-remainder' requires exactly two ingredients, but got '" << inst.to_string() << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0)) || !is_mu_number(inst.ingredients.at(1))) {
    raise_error << maybe(get(Recipe, r).name) << "'divide-with-remainder' requires number ingredients, but got '" << inst.to_string() << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) > 2) {
    raise_error << maybe(get(Recipe, r).name) << "'divide-with-remainder' yields two products in '" << inst.to_string() << "'\n" << end();
    break;
  }
  for (long long int i = 0; i < SIZE(inst.products); ++i) {
    if (!is_dummy(inst.products.at(i)) && !is_mu_number(inst.products.at(i))) {
      raise_error << maybe(get(Recipe, r).name) << "'divide-with-remainder' should yield a number, but got " << inst.products.at(i).original_string << '\n' << end();
      goto finish_checking_instruction;
    }
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case DIVIDE_WITH_REMAINDER: {
  products.resize(2);
  long long int a = static_cast<long long int>(ingredients.at(0).at(0));
  long long int b = static_cast<long long int>(ingredients.at(1).at(0));
  if (b == 0) {
    raise_error << maybe(current_recipe_name()) << "divide by zero in '" << current_instruction().to_string() << "'\n" << end();
    break;
  }
  long long int quotient = a / b;
  long long int remainder = a % b;
  // 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, 2
]
+mem: storing 4 in location 1
+mem: storing 1 in location 2

:(scenario divide_with_remainder)
recipe main [
  1:number <- copy 27
  2:number <- copy 11
  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 [
  1:number <- divide 5, 2
]
+mem: storing 2.5 in location 1

:(scenario divide_by_zero)
recipe main [
  1:number <- divide 4, 0
]
+mem: storing inf in location 1

:(scenario divide_by_zero_2)
% Hide_errors = true;
recipe main [
  1:number <- divide-with-remainder 4, 0
]
# integer division can't return floating-point infinity
+error: main: divide by zero in '1:number <- divide-with-remainder 4, 0'