Use dragonbox to print floats (#481)

* add new float printer

* more includes

* compare as floats

common/goos/Object.cpp

@@ -42,6 +42,7 @@
 #include "Object.h"
 #include "common/util/FileUtil.h"
 #include "third-party/fmt/core.h"
+#include "common/util/print_float.h"
 
 namespace goos {
 
@@ -83,51 +84,13 @@ std::string object_type_to_string(ObjectType type) {
 }
 
 /*!
- * Special case to print a float with the %g format specifier
+ * Special case to print a float
  */
 template <>
 std::string fixed_to_string(FloatType x) {
-  char buff[256];
-  s64 rounded = x;
-  bool exact_int = ((float)rounded) == x;
-
-  // it's an integer number, so let's just get this over with asap
-  if (exact_int) {
-    sprintf(buff, "%" PRId64 ".0", rounded);
-    return {buff};
-  } else {
-    // not an integer - see how many decimal cases we need
-    // i'm not sure what happens if x is a NaN/inf...
-
-    // buffer for format string
-    char fmt_buf[256];
-
-    // we are going to try our hardest to make sure the output is re-parseable
-    // for what it's worth, the lowest representable 32-bit floating point number has almost 50
-    // decimal cases, although:
-    // - by that point we should just be using scientific notation instead?
-    // - the PS2 DOES NOT DENORMALIZE FLOATS, or handle NaNs/infs! so the representation wouldn't
-    // be accurate anyway
-    // - we might not ever encounter numbers like that. the pretty printer has a "banned" floats
-    // list just in case
-
-    // 99 might seem high, but we are gonna get the result in under 10 or so most of the time, so
-    // it's fine.
-    // maybe there's some math principles or other tricks to optimize this?
-    for (int i = 1; i <= 99; ++i) {
-      // generate the format string
-      sprintf(fmt_buf, "%%.%df", i);
-      sprintf(buff, fmt_buf, x);
-
-      auto float_from_string = float(std::stod(buff));
-      float value_as_float = float(x);
-      bool are_they_equal = float_from_string == value_as_float;
-
-      if (are_they_equal)
-        return {buff};
-    }
-    throw std::runtime_error("a float could not be represented accurately");
-  }
+  auto result = float_to_string(x);
+  assert((float)x == (float)std::stod(result));
+  return result;
 }
 
 /*!