Add Euler's totient function benchmark

benchmarks/core/totient.bril

@@ -0,0 +1,66 @@
+# ARGS: 2023
+@main (n: int) {
+  print n;
+  tot: int = call @totient n;
+  print tot;
+}
+
+@totient (n: int): int {
+  result: int = id n;
+  p: int = const 2;
+  one: int = const 1;
+  zero: int = const 0;
+
+.for.set.cond:
+  pp: int = mul p p;
+  cond: bool = le pp n;
+  br cond .for.set.body .for.set.end;
+
+.for.set.body:
+
+  npmod: int = call @mod n p;
+  if_cond: bool = eq npmod zero;
+  br if_cond .if_lbl .else_lbl;
+.if_lbl:
+
+.while.set.cond:
+
+  npmod: int = call @mod n p;
+  while_cond: bool = eq npmod zero;
+  br while_cond .while.body .while.end;
+
+.while.body:
+  npdiv: int = div n p;
+  n: int = id npdiv;
+  jmp .while.set.cond;
+
+.while.end:
+
+  resdiv: int = div result p;
+  result: int = sub result resdiv;
+
+.else_lbl:
+
+  p: int = add p one;
+  jmp .for.set.cond;
+
+.for.set.end:
+
+  final_if_cond: bool = gt n one;
+  br final_if_cond .final_if_label .final_else_label;
+
+.final_if_label:
+  resdiv: int = div result n;
+  result: int = sub result resdiv;
+
+.final_else_label:
+
+  ret result;
+}
+
+@mod (a: int, b: int): int {
+  ad: int = div a b;
+  mad: int = mul b ad;
+  ans: int = sub a mad;
+  ret ans;
+}

benchmarks/core/totient.out

@@ -0,0 +1,2 @@
+2023
+1632

benchmarks/core/totient.prof

@@ -0,0 +1 @@
+total_dyn_inst: 253

docs/tools/bench.md

@@ -54,6 +54,7 @@ The current benchmarks are:
 * `sum-bit`: Print the number of 1-bits in the binary representation of the input integer.
 * `sum-divisors`: Prints the positive integer divisors of the input integer, followed by the sum of the divisors.
 * `sum-sq-diff`: Output the difference between the sum of the squares of the first *n* natural numbers and the square of their sum.
+* `totient`: Computes [Euler's totient function][totient] on an input integer *n*.
 * `up-arrow`: Computes [Knuth's up arrow][uparrow] notation, with the first argument being the number, the second argument being the number of Knuth's up arrows, and the third argument being the number of repeats.
 * `reverse`: Compute number with reversed digits (e.g. 123 -> 321).
 
@@ -84,3 +85,4 @@ Credit for several of these benchmarks goes to Alexa VanHattum and Gregory Yaune
 [mandelbrot]: https://en.wikipedia.org/wiki/Mandelbrot_set
 [hanoi]: https://en.wikipedia.org/wiki/Tower_of_Hanoi
 [euler]: https://en.wikipedia.org/wiki/E_(mathematical_constant)
+[totient]: https://en.wikipedia.org/wiki/Euler's_totient_function