lua: wada.sys.random(n) gives 1..n, random(lo, lo) gives lo

A single argument landed in lo with hi = 0, and any empty range returned a
raw 32-bit value, so the documented random(n) never gave 1..n and a shuffle's
last random(1, i) with i = 1 gave a huge index (the Space Invaders crash,
#729, worked around in the app). random() alone still returns the raw value,
and a reversed range is swapped.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

deploy/site/sdk.html

@@ -526,7 +526,7 @@ end</code></pre>
           <tr><td>wada.sys.millis()</td><td>Milliseconds since boot.</td></tr>
           <tr><td>wada.sys.board()</td><td><code>{w, h, touch, keyboard, trackball, gps}</code>: size and capabilities.</td></tr>
           <tr><td>wada.sys.toast(msg)</td><td>Brief on-screen message.</td></tr>
-          <tr><td>wada.sys.random(n)</td><td>Integer in 1..n.</td></tr>
+          <tr><td>wada.sys.random(n)<br>wada.sys.random(lo, hi)</td><td>Integer in 1..n, or in lo..hi (both ends included). From hardware randomness, so there is nothing to seed.</td></tr>
           <tr><td>wada.sys.epoch()</td><td>Unix time in seconds, or <code>nil</code> when the clock has not been set yet (no GPS fix and no NTP). Always handle the <code>nil</code>.</td></tr>
           <tr><td>wada.sys.datetime()</td><td><code>{year, month, day, hour, min, sec, wday}</code> in local time. <code>wday</code> is 0 for Sunday.</td></tr>
           <tr><td>wada.ui.emoji(cb)</td><td>Open the emoji picker and call <code>cb(glyph)</code> with the chosen emoji as a UTF-8 string, or <code>cb(nil)</code> if it was dismissed. For an app that draws its own text entry and keeps the buffer itself; if you use <code>wada.ui.input()</code> you do not need this, the picker is already on its long-press menu.</td></tr>

src/ui-touch/LuaAppHost.cpp

@@ -1273,8 +1273,13 @@ int sysKeepAwake(lua_State* L) {
 int sysToast(lua_State* L)  { luaHostToast(luaL_checkstring(L, 1), (int)luaL_optinteger(L, 2, 1500)); return 0; }
 int sysRandom(lua_State* L) {
   // esp_random-backed: apps should not have to seed math.random for games
-  lua_Integer lo = luaL_optinteger(L, 1, 0), hi = luaL_optinteger(L, 2, 0);
-  if (hi <= lo) { lua_pushinteger(L, (lua_Integer)esp_random()); return 1; }
+  // random() = a raw 32-bit value, random(n) = 1..n (as documented), random(lo, hi) =
+  // lo..hi. An empty range used to return the raw value too, so random(1, 1) at the end
+  // of a shuffle gave a huge index, and random(n) never returned 1..n at all.
+  if (lua_isnoneornil(L, 1)) { lua_pushinteger(L, (lua_Integer)esp_random()); return 1; }
+  lua_Integer lo = luaL_checkinteger(L, 1), hi;
+  if (lua_isnoneornil(L, 2)) { hi = lo; lo = 1; } else hi = luaL_checkinteger(L, 2);
+  if (hi < lo) { const lua_Integer t = lo; lo = hi; hi = t; }
   lua_pushinteger(L, lo + (lua_Integer)(esp_random() % (uint32_t)(hi - lo + 1)));
   return 1;
 }