[test-suite] math.js

1 files changed, 1614 insertions, 0 deletions

diff --git a/tests/test-suite/math.js b/tests/test-suite/math.js
new file mode 100644
index 0000000..463905f
--- /dev/null
+++ b/tests/test-suite/math.js
@@ -0,0 +1,1614 @@
+"use strict";
+
+const test     = require('tape');
+
+global.WEB = false;
+
+const lua     = require('../../src/lua.js');
+const lauxlib = require('../../src/lauxlib.js');
+const lualib  = require('../../src/lualib.js');
+
+
+const prefix = `
+    local minint = math.mininteger
+    local maxint = math.maxinteger
+
+    local intbits = math.floor(math.log(maxint, 2) + 0.5) + 1
+    --assert((1 << intbits) == 0)
+
+    local function checkerror (msg, f, ...)
+      local s, err = pcall(f, ...)
+      assert(not s and string.find(err, msg))
+    end
+
+    local msgf2i = "number.* has no integer representation"
+
+    function eq (a,b,limit)
+      if not limit then
+        if floatbits >= 50 then limit = 1E-11
+        else limit = 1E-5
+        end
+      end
+      -- a == b needed for +inf/-inf
+      return a == b or math.abs(a-b) <= limit
+    end
+
+    -- equality with types
+    function eqT (a,b)
+      return a == b and math.type(a) == math.type(b)
+    end
+
+    local function checkcompt (msg, code)
+      checkerror(msg, assert(load(code)))
+    end
+`;
+
+test("[test-suite] math: int bits", function (t) {
+    let luaCode = `
+        assert(minint == 1 << (intbits - 1))
+        assert(maxint == minint - 1)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: number of bits in the mantissa of a floating-point number", function (t) {
+    let luaCode = `
+        local floatbits = 24
+        do
+          local p = 2.0^floatbits
+          while p < p + 1.0 do
+            p = p * 2.0
+            floatbits = floatbits + 1
+          end
+        end
+
+        local function isNaN (x)
+          return (x ~= x)
+        end
+
+        assert(isNaN(0/0))
+        assert(not isNaN(1/0))
+
+
+        do
+          local x = 2.0^floatbits
+          assert(x > x - 1.0 and x == x + 1.0)
+
+          print(string.format("%d-bit integers, %d-bit (mantissa) floats",
+                               intbits, floatbits))
+        end
+
+        assert(math.type(0) == "integer" and math.type(0.0) == "float"
+               and math.type("10") == nil)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: basic float notation", function (t) {
+    let luaCode = `
+        assert(0e12 == 0 and .0 == 0 and 0. == 0 and .2e2 == 20 and 2.E-1 == 0.2)
+
+        do
+          local a,b,c = "2", " 3e0 ", " 10  "
+          assert(a+b == 5 and -b == -3 and b+"2" == 5 and "10"-c == 0)
+          assert(type(a) == 'string' and type(b) == 'string' and type(c) == 'string')
+          assert(a == "2" and b == " 3e0 " and c == " 10  " and -c == -"  10 ")
+          assert(c%a == 0 and a^b == 08)
+          a = 0
+          assert(a == -a and 0 == -0)
+        end
+
+        do
+          local x = -1
+          local mz = 0/x   -- minus zero
+          t = {[0] = 10, 20, 30, 40, 50}
+          assert(t[mz] == t[0] and t[-0] == t[0])
+        end
+
+        do   -- tests for 'modf'
+          local a,b = math.modf(3.5)
+          assert(a == 3.0 and b == 0.5)
+          a,b = math.modf(-2.5)
+          assert(a == -2.0 and b == -0.5)
+          a,b = math.modf(-3e23)
+          assert(a == -3e23 and b == 0.0)
+          a,b = math.modf(3e35)
+          assert(a == 3e35 and b == 0.0)
+          a,b = math.modf(-1/0)   -- -inf
+          assert(a == -1/0 and b == 0.0)
+          a,b = math.modf(1/0)   -- inf
+          assert(a == 1/0 and b == 0.0)
+          a,b = math.modf(0/0)   -- NaN
+          assert(isNaN(a) and isNaN(b))
+          a,b = math.modf(3)  -- integer argument
+          assert(eqT(a, 3) and eqT(b, 0.0))
+          a,b = math.modf(minint)
+          assert(eqT(a, minint) and eqT(b, 0.0))
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: math.huge", function (t) {
+    let luaCode = `
+        assert(math.huge > 10e30)
+        assert(-math.huge < -10e30)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: integer arithmetic", function (t) {
+    let luaCode = `
+        assert(minint < minint + 1)
+        assert(maxint - 1 < maxint)
+        assert(0 - minint == minint)
+        assert(minint * minint == 0)
+        assert(maxint * maxint * maxint == maxint)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing floor division and conversions", function (t) {
+    let luaCode = `
+        for _, i in pairs{-16, -15, -3, -2, -1, 0, 1, 2, 3, 15} do
+          for _, j in pairs{-16, -15, -3, -2, -1, 1, 2, 3, 15} do
+            for _, ti in pairs{0, 0.0} do     -- try 'i' as integer and as float
+              for _, tj in pairs{0, 0.0} do   -- try 'j' as integer and as float
+                local x = i + ti
+                local y = j + tj
+                  assert(i//j == math.floor(i/j))
+              end
+            end
+          end
+        end
+
+        assert(1//0.0 == 1/0)
+        assert(-1 // 0.0 == -1/0)
+        assert(eqT(3.5 // 1.5, 2.0))
+        assert(eqT(3.5 // -1.5, -3.0))
+
+        assert(maxint // maxint == 1)
+        assert(maxint // 1 == maxint)
+        assert((maxint - 1) // maxint == 0)
+        assert(maxint // (maxint - 1) == 1)
+        assert(minint // minint == 1)
+        assert(minint // minint == 1)
+        assert((minint + 1) // minint == 0)
+        assert(minint // (minint + 1) == 1)
+        assert(minint // 1 == minint)
+
+        assert(minint // -1 == -minint)
+        assert(minint // -2 == 2^(intbits - 2))
+        assert(maxint // -1 == -maxint)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: negative exponents", function (t) {
+    let luaCode = `
+        do
+          assert(2^-3 == 1 / 2^3)
+          assert(eq((-3)^-3, 1 / (-3)^3))
+          for i = -3, 3 do    -- variables avoid constant folding
+              for j = -3, 3 do
+                -- domain errors (0^(-n)) are not portable
+                if not _port or i ~= 0 or j > 0 then
+                  assert(eq(i^j, 1 / i^(-j)))
+               end
+            end
+          end
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: comparison between floats and integers (border cases)", function (t) {
+    let luaCode = `
+        if floatbits < intbits then
+          assert(2.0^floatbits == (1 << floatbits))
+          assert(2.0^floatbits - 1.0 == (1 << floatbits) - 1.0)
+          assert(2.0^floatbits - 1.0 ~= (1 << floatbits))
+          -- float is rounded, int is not
+          assert(2.0^floatbits + 1.0 ~= (1 << floatbits) + 1)
+        else   -- floats can express all integers with full accuracy
+          assert(maxint == maxint + 0.0)
+          assert(maxint - 1 == maxint - 1.0)
+          assert(minint + 1 == minint + 1.0)
+          assert(maxint ~= maxint - 1.0)
+        end
+        assert(maxint + 0.0 == 2.0^(intbits - 1) - 1.0)
+        assert(minint + 0.0 == minint)
+        assert(minint + 0.0 == -2.0^(intbits - 1))
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: order between floats and integers", function (t) {
+    let luaCode = `
+        assert(minint == 1 << (intbits - 1))
+        assert(maxint == minint - 1)
+
+        assert(1 < 1.1); assert(not (1 < 0.9))
+        assert(1 <= 1.1); assert(not (1 <= 0.9))
+        assert(-1 < -0.9); assert(not (-1 < -1.1))
+        assert(1 <= 1.1); assert(not (-1 <= -1.1))
+        assert(-1 < -0.9); assert(not (-1 < -1.1))
+        assert(-1 <= -0.9); assert(not (-1 <= -1.1))
+        assert(minint <= minint + 0.0)
+        assert(minint + 0.0 <= minint)
+        assert(not (minint < minint + 0.0))
+        assert(not (minint + 0.0 < minint))
+        assert(maxint < minint * -1.0)
+        assert(maxint <= minint * -1.0)
+
+        do
+          local fmaxi1 = 2^(intbits - 1)
+          assert(maxint < fmaxi1)
+          assert(maxint <= fmaxi1)
+          assert(not (fmaxi1 <= maxint))
+          assert(minint <= -2^(intbits - 1))
+          assert(-2^(intbits - 1) <= minint)
+        end
+
+        if floatbits < intbits then
+          print("testing order (floats cannot represent all integers)")
+          local fmax = 2^floatbits
+          local ifmax = fmax | 0
+          assert(fmax < ifmax + 1)
+          assert(fmax - 1 < ifmax)
+          assert(-(fmax - 1) > -ifmax)
+          assert(not (fmax <= ifmax - 1))
+          assert(-fmax > -(ifmax + 1))
+          assert(not (-fmax >= -(ifmax - 1)))
+
+          assert(fmax/2 - 0.5 < ifmax//2)
+          assert(-(fmax/2 - 0.5) > -ifmax//2)
+
+          assert(maxint < 2^intbits)
+          assert(minint > -2^intbits)
+          assert(maxint <= 2^intbits)
+          assert(minint >= -2^intbits)
+        else
+          print("testing order (floats can represent all integers)")
+          assert(maxint < maxint + 1.0)
+          assert(maxint < maxint + 0.5)
+          assert(maxint - 1.0 < maxint)
+          assert(maxint - 0.5 < maxint)
+          assert(not (maxint + 0.0 < maxint))
+          assert(maxint + 0.0 <= maxint)
+          assert(not (maxint < maxint + 0.0))
+          assert(maxint + 0.0 <= maxint)
+          assert(maxint <= maxint + 0.0)
+          assert(not (maxint + 1.0 <= maxint))
+          assert(not (maxint + 0.5 <= maxint))
+          assert(not (maxint <= maxint - 1.0))
+          assert(not (maxint <= maxint - 0.5))
+
+          assert(minint < minint + 1.0)
+          assert(minint < minint + 0.5)
+          assert(minint <= minint + 0.5)
+          assert(minint - 1.0 < minint)
+          assert(minint - 1.0 <= minint)
+          assert(not (minint + 0.0 < minint))
+          assert(not (minint + 0.5 < minint))
+          assert(not (minint < minint + 0.0))
+          assert(minint + 0.0 <= minint)
+          assert(minint <= minint + 0.0)
+          assert(not (minint + 1.0 <= minint))
+          assert(not (minint + 0.5 <= minint))
+          assert(not (minint <= minint - 1.0))
+        end
+
+        do
+          local NaN = 0/0
+          assert(not (NaN < 0))
+          assert(not (NaN > minint))
+          assert(not (NaN <= -9))
+          assert(not (NaN <= maxint))
+          assert(not (NaN < maxint))
+          assert(not (minint <= NaN))
+          assert(not (minint < NaN))
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: avoiding errors at compile time", function (t) {
+    let luaCode = `
+        checkcompt("divide by zero", "return 2 // 0")
+        checkcompt(msgf2i, "return 2.3 >> 0")
+        checkcompt(msgf2i, ("return 2.0^%d & 1"):format(intbits - 1))
+        checkcompt("field 'huge'", "return math.huge << 1")
+        checkcompt(msgf2i, ("return 1 | 2.0^%d"):format(intbits - 1))
+        checkcompt(msgf2i, "return 2.3 ~ '0.0'")
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+test("[test-suite] math: testing overflow errors when converting from float to integer (runtime)", function (t) {
+    let luaCode = `
+        local function f2i (x) return x | x end
+        checkerror(msgf2i, f2i, math.huge)     -- +inf
+        checkerror(msgf2i, f2i, -math.huge)    -- -inf
+        checkerror(msgf2i, f2i, 0/0)           -- NaN
+
+        if floatbits < intbits then
+          -- conversion tests when float cannot represent all integers
+          assert(maxint + 1.0 == maxint + 0.0)
+          assert(minint - 1.0 == minint + 0.0)
+          checkerror(msgf2i, f2i, maxint + 0.0)
+          assert(f2i(2.0^(intbits - 2)) == 1 << (intbits - 2))
+          assert(f2i(-2.0^(intbits - 2)) == -(1 << (intbits - 2)))
+          assert((2.0^(floatbits - 1) + 1.0) // 1 == (1 << (floatbits - 1)) + 1)
+          -- maximum integer representable as a float
+          local mf = maxint - (1 << (floatbits - intbits)) + 1
+          assert(f2i(mf + 0.0) == mf)  -- OK up to here
+          mf = mf + 1
+          assert(f2i(mf + 0.0) ~= mf)   -- no more representable
+        else
+          -- conversion tests when float can represent all integers
+          assert(maxint + 1.0 > maxint)
+          assert(minint - 1.0 < minint)
+          assert(f2i(maxint + 0.0) == maxint)
+          checkerror("no integer rep", f2i, maxint + 1.0)
+          checkerror("no integer rep", f2i, minint - 1.0)
+        end
+
+        -- 'minint' should be representable as a float no matter the precision
+        assert(f2i(minint + 0.0) == minint)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing numeric strings", function (t) {
+    let luaCode = `
+        assert("2" + 1 == 3)
+        assert("2 " + 1 == 3)
+        assert(" -2 " + 1 == -1)
+        assert(" -0xa " + 1 == -9)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: Literal integer Overflows (new behavior in 5.3.3)", function (t) {
+    let luaCode = `
+        do
+          -- no overflows
+          assert(eqT(tonumber(tostring(maxint)), maxint))
+          assert(eqT(tonumber(tostring(minint)), minint))
+
+          -- add 1 to last digit as a string (it cannot be 9...)
+          local function incd (n)
+            local s = string.format("%d", n)
+            s = string.gsub(s, "%d$", function (d)
+                  assert(d ~= '9')
+                  return string.char(string.byte(d) + 1)
+                end)
+            return s
+          end
+
+          -- 'tonumber' with overflow by 1
+          assert(eqT(tonumber(incd(maxint)), maxint + 1.0))
+          assert(eqT(tonumber(incd(minint)), minint - 1.0))
+
+          -- large numbers
+          assert(eqT(tonumber("1"..string.rep("0", 30)), 1e30))
+          assert(eqT(tonumber("-1"..string.rep("0", 30)), -1e30))
+
+          -- hexa format still wraps around
+          assert(eqT(tonumber("0x1"..string.rep("0", 30)), 0))
+
+          -- lexer in the limits
+          assert(minint == load("return " .. minint)())
+          assert(eqT(maxint, load("return " .. maxint)()))
+
+          assert(eqT(10000000000000000000000.0, 10000000000000000000000))
+          assert(eqT(-10000000000000000000000.0, -10000000000000000000000))
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: 'tonumber' with numbers", function (t) {
+    let luaCode = `
+        assert(tonumber(3.4) == 3.4)
+        assert(eqT(tonumber(3), 3))
+        assert(eqT(tonumber(maxint), maxint) and eqT(tonumber(minint), minint))
+        assert(tonumber(1/0) == 1/0)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: 'tonumber' with strings", function (t) {
+    let luaCode = `
+        assert(tonumber("0") == 0)
+        assert(tonumber("") == nil)
+        assert(tonumber("  ") == nil)
+        assert(tonumber("-") == nil)
+        assert(tonumber("  -0x ") == nil)
+        assert(tonumber{} == nil)
+        assert(tonumber'+0.01' == 1/100 and tonumber'+.01' == 0.01 and
+               tonumber'.01' == 0.01    and tonumber'-1.' == -1 and
+               tonumber'+1.' == 1)
+        assert(tonumber'+ 0.01' == nil and tonumber'+.e1' == nil and
+               tonumber'1e' == nil     and tonumber'1.0e+' == nil and
+               tonumber'.' == nil)
+        assert(tonumber('-012') == -010-2)
+        assert(tonumber('-1.2e2') == - - -120)
+
+        assert(tonumber("0xffffffffffff") == (1 << (4*12)) - 1)
+        assert(tonumber("0x"..string.rep("f", (intbits//4))) == -1)
+        assert(tonumber("-0x"..string.rep("f", (intbits//4))) == 1)
+
+        -- testing 'tonumber' with base
+        assert(tonumber('  001010  ', 2) == 10)
+        assert(tonumber('  001010  ', 10) == 001010)
+        assert(tonumber('  -1010  ', 2) == -10)
+        assert(tonumber('10', 36) == 36)
+        assert(tonumber('  -10  ', 36) == -36)
+        assert(tonumber('  +1Z  ', 36) == 36 + 35)
+        assert(tonumber('  -1z  ', 36) == -36 + -35)
+        assert(tonumber('-fFfa', 16) == -(10+(16*(15+(16*(15+(16*15)))))))
+        assert(tonumber(string.rep('1', (intbits - 2)), 2) + 1 == 2^(intbits - 2))
+        assert(tonumber('ffffFFFF', 16)+1 == (1 << 32))
+        assert(tonumber('0ffffFFFF', 16)+1 == (1 << 32))
+        assert(tonumber('-0ffffffFFFF', 16) - 1 == -(1 << 40))
+        for i = 2,36 do
+          local i2 = i * i
+          local i10 = i2 * i2 * i2 * i2 * i2      -- i^10
+          assert(tonumber('\\t10000000000\\t', i) == i10)
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: tests with very long numerals", { skip: true }, function (t) {
+    let luaCode = `
+        assert(tonumber("0x"..string.rep("f", 13)..".0") == 2.0^(4*13) - 1)
+        assert(tonumber("0x"..string.rep("f", 150)..".0") == 2.0^(4*150) - 1)
+        assert(tonumber("0x"..string.rep("f", 300)..".0") == 2.0^(4*300) - 1)
+        assert(tonumber("0x"..string.rep("f", 500)..".0") == 2.0^(4*500) - 1)
+        assert(tonumber('0x3.' .. string.rep('0', 1000)) == 3)
+        assert(tonumber('0x' .. string.rep('0', 1000) .. 'a') == 10)
+        assert(tonumber('0x0.' .. string.rep('0', 13).."1") == 2.0^(-4*14))
+        assert(tonumber('0x0.' .. string.rep('0', 150).."1") == 2.0^(-4*151))
+        assert(tonumber('0x0.' .. string.rep('0', 300).."1") == 2.0^(-4*301))
+        assert(tonumber('0x0.' .. string.rep('0', 500).."1") == 2.0^(-4*501))
+
+        assert(tonumber('0xe03' .. string.rep('0', 1000) .. 'p-4000') == 3587.0)
+        assert(tonumber('0x.' .. string.rep('0', 1000) .. '74p4004') == 0x7.4)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing 'tonumber' for invalid formats", function (t) {
+    let luaCode = `
+        local function f (...)
+          if select('#', ...) == 1 then
+            return (...)
+          else
+            return "***"
+          end
+        end
+
+        assert(f(tonumber('fFfa', 15)) == nil)
+        assert(f(tonumber('099', 8)) == nil)
+        assert(f(tonumber('1\\0', 2)) == nil)
+        assert(f(tonumber('', 8)) == nil)
+        assert(f(tonumber('  ', 9)) == nil)
+        assert(f(tonumber('  ', 9)) == nil)
+        assert(f(tonumber('0xf', 10)) == nil)
+
+        assert(f(tonumber('inf')) == nil)
+        assert(f(tonumber(' INF ')) == nil)
+        assert(f(tonumber('Nan')) == nil)
+        assert(f(tonumber('nan')) == nil)
+
+        assert(f(tonumber('  ')) == nil)
+        assert(f(tonumber('')) == nil)
+        assert(f(tonumber('1  a')) == nil)
+        assert(f(tonumber('1  a', 2)) == nil)
+        assert(f(tonumber('1\\0')) == nil)
+        assert(f(tonumber('1 \\0')) == nil)
+        assert(f(tonumber('1\\0 ')) == nil)
+        assert(f(tonumber('e1')) == nil)
+        assert(f(tonumber('e  1')) == nil)
+        assert(f(tonumber(' 3.4.5 ')) == nil)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing 'tonumber' for invalid hexadecimal formats", function (t) {
+    let luaCode = `
+        assert(tonumber('0x') == nil)
+        assert(tonumber('x') == nil)
+        assert(tonumber('x3') == nil)
+        assert(tonumber('0x3.3.3') == nil)   -- two decimal points
+        assert(tonumber('00x2') == nil)
+        assert(tonumber('0x 2') == nil)
+        assert(tonumber('0 x2') == nil)
+        assert(tonumber('23x') == nil)
+        assert(tonumber('- 0xaa') == nil)
+        assert(tonumber('-0xaaP ') == nil)   -- no exponent
+        assert(tonumber('0x0.51p') == nil)
+        assert(tonumber('0x5p+-2') == nil)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing hexadecimal numerals", function (t) {
+    let luaCode = `
+        assert(0x10 == 16 and 0xfff == 2^12 - 1 and 0XFB == 251)
+        assert(0x0p12 == 0 and 0x.0p-3 == 0)
+        assert(0xFFFFFFFF == (1 << 32) - 1)
+        assert(tonumber('+0x2') == 2)
+        assert(tonumber('-0xaA') == -170)
+        assert(tonumber('-0xffFFFfff') == -(1 << 32) + 1)
+
+        -- possible confusion with decimal exponent
+        assert(0E+1 == 0 and 0xE+1 == 15 and 0xe-1 == 13)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: floating hexas", function (t) {
+    let luaCode = `
+        assert(tonumber('  0x2.5  ') == 0x25/16)
+        assert(tonumber('  -0x2.5  ') == -0x25/16)
+        assert(tonumber('  +0x0.51p+8  ') == 0x51)
+        assert(0x.FfffFFFF == 1 - '0x.00000001')
+        assert('0xA.a' + 0 == 10 + 10/16)
+        assert(0xa.aP4 == 0XAA)
+        assert(0x4P-2 == 1)
+        assert(0x1.1 == '0x1.' + '+0x.1')
+        assert(0Xabcdef.0 == 0x.ABCDEFp+24)
+
+
+        assert(1.1 == 1.+.1)
+        assert(100.0 == 1E2 and .01 == 1e-2)
+        assert(1111111111 - 1111111110 == 1000.00e-03)
+        assert(1.1 == '1.'+'.1')
+        assert(tonumber'1111111111' - tonumber'1111111110' ==
+               tonumber"  +0.001e+3 \\n\\t")
+
+        assert(0.1e-30 > 0.9E-31 and 0.9E30 < 0.1e31)
+
+        assert(0.123456 > 0.123455)
+
+        assert(tonumber('+1.23E18') == 1.23*10.0^18)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing order operators", function (t) {
+    let luaCode = `
+        assert(not(1<1) and (1<2) and not(2<1))
+        assert(not('a'<'a') and ('a'<'b') and not('b'<'a'))
+        assert((1<=1) and (1<=2) and not(2<=1))
+        assert(('a'<='a') and ('a'<='b') and not('b'<='a'))
+        assert(not(1>1) and not(1>2) and (2>1))
+        assert(not('a'>'a') and not('a'>'b') and ('b'>'a'))
+        assert((1>=1) and not(1>=2) and (2>=1))
+        assert(('a'>='a') and not('a'>='b') and ('b'>='a'))
+        assert(1.3 < 1.4 and 1.3 <= 1.4 and not (1.3 < 1.3) and 1.3 <= 1.3)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing mod operator", function (t) {
+    let luaCode = `
+        assert(eqT(-4 % 3, 2))
+        assert(eqT(4 % -3, -2))
+        assert(eqT(-4.0 % 3, 2.0))
+        assert(eqT(4 % -3.0, -2.0))
+        assert(math.pi - math.pi % 1 == 3)
+        assert(math.pi - math.pi % 0.001 == 3.141)
+
+        assert(eqT(minint % minint, 0))
+        assert(eqT(maxint % maxint, 0))
+        assert((minint + 1) % minint == minint + 1)
+        assert((maxint - 1) % maxint == maxint - 1)
+        assert(minint % maxint == maxint - 1)
+
+        assert(minint % -1 == 0)
+        assert(minint % -2 == 0)
+        assert(maxint % -2 == -1)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: non-portable tests because Windows C library cannot compute fmod(1, huge) correctly", function (t) {
+    let luaCode = `
+        local function anan (x) assert(isNaN(x)) end   -- assert Not a Number
+        anan(0.0 % 0)
+        anan(1.3 % 0)
+        anan(math.huge % 1)
+        anan(math.huge % 1e30)
+        anan(-math.huge % 1e30)
+        anan(-math.huge % -1e30)
+        assert(1 % math.huge == 1)
+        assert(1e30 % math.huge == 1e30)
+        assert(1e30 % -math.huge == -math.huge)
+        assert(-1 % math.huge == math.huge)
+        assert(-1 % -math.huge == -1)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing unsigned comparisons", function (t) {
+    let luaCode = `
+        assert(math.ult(3, 4))
+        assert(not math.ult(4, 4))
+        assert(math.ult(-2, -1))
+        assert(math.ult(2, -1))
+        assert(not math.ult(-2, -2))
+        assert(math.ult(maxint, minint))
+        assert(not math.ult(minint, maxint))
+
+
+        assert(eq(math.sin(-9.8)^2 + math.cos(-9.8)^2, 1))
+        assert(eq(math.tan(math.pi/4), 1))
+        assert(eq(math.sin(math.pi/2), 1) and eq(math.cos(math.pi/2), 0))
+        assert(eq(math.atan(1), math.pi/4) and eq(math.acos(0), math.pi/2) and
+               eq(math.asin(1), math.pi/2))
+        assert(eq(math.deg(math.pi/2), 90) and eq(math.rad(90), math.pi/2))
+        assert(math.abs(-10.43) == 10.43)
+        assert(eqT(math.abs(minint), minint))
+        assert(eqT(math.abs(maxint), maxint))
+        assert(eqT(math.abs(-maxint), maxint))
+        assert(eq(math.atan(1,0), math.pi/2))
+        assert(math.fmod(10,3) == 1)
+        assert(eq(math.sqrt(10)^2, 10))
+        assert(eq(math.log(2, 10), math.log(2)/math.log(10)))
+        assert(eq(math.log(2, 2), 1))
+        assert(eq(math.log(9, 3), 2))
+        assert(eq(math.exp(0), 1))
+        assert(eq(math.sin(10), math.sin(10%(2*math.pi))))
+
+
+        assert(tonumber(' 1.3e-2 ') == 1.3e-2)
+        assert(tonumber(' -1.00000000000001 ') == -1.00000000000001)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing constant limits", function (t) {
+    let luaCode = `
+        assert(8388609 + -8388609 == 0)
+        assert(8388608 + -8388608 == 0)
+        assert(8388607 + -8388607 == 0)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing floor & ceil", function (t) {
+    let luaCode = `
+        do
+          assert(eqT(math.floor(3.4), 3))
+          assert(eqT(math.ceil(3.4), 4))
+          assert(eqT(math.floor(-3.4), -4))
+          assert(eqT(math.ceil(-3.4), -3))
+          assert(eqT(math.floor(maxint), maxint))
+          assert(eqT(math.ceil(maxint), maxint))
+          assert(eqT(math.floor(minint), minint))
+          assert(eqT(math.floor(minint + 0.0), minint))
+          assert(eqT(math.ceil(minint), minint))
+          assert(eqT(math.ceil(minint + 0.0), minint))
+          assert(math.floor(1e50) == 1e50)
+          assert(math.ceil(1e50) == 1e50)
+          assert(math.floor(-1e50) == -1e50)
+          assert(math.ceil(-1e50) == -1e50)
+          for _, p in pairs{31,32,63,64} do
+            assert(math.floor(2^p) == 2^p)
+            assert(math.floor(2^p + 0.5) == 2^p)
+            assert(math.ceil(2^p) == 2^p)
+            assert(math.ceil(2^p - 0.5) == 2^p)
+          end
+          checkerror("number expected", math.floor, {})
+          checkerror("number expected", math.ceil, print)
+          assert(eqT(math.tointeger(minint), minint))
+          assert(eqT(math.tointeger(minint .. ""), minint))
+          assert(eqT(math.tointeger(maxint), maxint))
+          assert(eqT(math.tointeger(maxint .. ""), maxint))
+          assert(eqT(math.tointeger(minint + 0.0), minint))
+          assert(math.tointeger(0.0 - minint) == nil)
+          assert(math.tointeger(math.pi) == nil)
+          assert(math.tointeger(-math.pi) == nil)
+          assert(math.floor(math.huge) == math.huge)
+          assert(math.ceil(math.huge) == math.huge)
+          assert(math.tointeger(math.huge) == nil)
+          assert(math.floor(-math.huge) == -math.huge)
+          assert(math.ceil(-math.huge) == -math.huge)
+          assert(math.tointeger(-math.huge) == nil)
+          assert(math.tointeger("34.0") == 34)
+          assert(math.tointeger("34.3") == nil)
+          assert(math.tointeger({}) == nil)
+          assert(math.tointeger(0/0) == nil)    -- NaN
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing fmod for integers", function (t) {
+    let luaCode = `
+        for i = -6, 6 do
+          for j = -6, 6 do
+            if j ~= 0 then
+              local mi = math.fmod(i, j)
+              local mf = math.fmod(i + 0.0, j)
+              assert(mi == mf)
+              assert(math.type(mi) == 'integer' and math.type(mf) == 'float')
+              if (i >= 0 and j >= 0) or (i <= 0 and j <= 0) or mi == 0 then
+                assert(eqT(mi, i % j))
+              end
+            end
+          end
+        end
+        assert(eqT(math.fmod(minint, minint), 0))
+        assert(eqT(math.fmod(maxint, maxint), 0))
+        assert(eqT(math.fmod(minint + 1, minint), minint + 1))
+        assert(eqT(math.fmod(maxint - 1, maxint), maxint - 1))
+
+        checkerror("zero", math.fmod, 3, 0)
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing max/min", function (t) {
+    let luaCode = `
+        do
+          checkerror("value expected", math.max)
+          checkerror("value expected", math.min)
+          assert(eqT(math.max(3), 3))
+          assert(eqT(math.max(3, 5, 9, 1), 9))
+          assert(math.max(maxint, 10e60) == 10e60)
+          assert(eqT(math.max(minint, minint + 1), minint + 1))
+          assert(eqT(math.min(3), 3))
+          assert(eqT(math.min(3, 5, 9, 1), 1))
+          assert(math.min(3.2, 5.9, -9.2, 1.1) == -9.2)
+          assert(math.min(1.9, 1.7, 1.72) == 1.7)
+          assert(math.min(-10e60, minint) == -10e60)
+          assert(eqT(math.min(maxint, maxint - 1), maxint - 1))
+          assert(eqT(math.min(maxint - 2, maxint, maxint - 1), maxint - 2))
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing implicit convertions", function (t) {
+    let luaCode = `
+        local a,b = '10', '20'
+        assert(a*b == 200 and a+b == 30 and a-b == -10 and a/b == 0.5 and -b == -20)
+        assert(a == '10' and b == '20')
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: testing -0 and NaN", function (t) {
+    let luaCode = `
+        do
+          print("testing -0 and NaN")
+          local mz, z = -0.0, 0.0
+          assert(mz == z)
+          assert(1/mz < 0 and 0 < 1/z)
+          local a = {[mz] = 1}
+          assert(a[z] == 1 and a[mz] == 1)
+          a[z] = 2
+          assert(a[z] == 2 and a[mz] == 2)
+          local inf = math.huge * 2 + 1
+          mz, z = -1/inf, 1/inf
+          assert(mz == z)
+          assert(1/mz < 0 and 0 < 1/z)
+          local NaN = inf - inf
+          assert(NaN ~= NaN)
+          assert(not (NaN < NaN))
+          assert(not (NaN <= NaN))
+          assert(not (NaN > NaN))
+          assert(not (NaN >= NaN))
+          assert(not (0 < NaN) and not (NaN < 0))
+          local NaN1 = 0/0
+          assert(NaN ~= NaN1 and not (NaN <= NaN1) and not (NaN1 <= NaN))
+          local a = {}
+          assert(not pcall(rawset, a, NaN, 1))
+          assert(a[NaN] == nil)
+          a[1] = 1
+          assert(not pcall(rawset, a, NaN, 1))
+          assert(a[NaN] == nil)
+          -- strings with same binary representation as 0.0 (might create problems
+          -- for constant manipulation in the pre-compiler)
+          local a1, a2, a3, a4, a5 = 0, 0, "\0\0\0\0\0\0\0\0", 0, "\0\0\0\0\0\0\0\0"
+          assert(a1 == a2 and a2 == a4 and a1 ~= a3)
+          assert(a3 == a5)
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: test random for floats", function (t) {
+    let luaCode = `
+        math.randomseed(0)
+
+        do   -- test random for floats
+          local max = -math.huge
+          local min = math.huge
+          for i = 0, 20000 do
+            local t = math.random()
+            assert(0 <= t and t < 1)
+            max = math.max(max, t)
+            min = math.min(min, t)
+            if eq(max, 1, 0.001) and eq(min, 0, 0.001) then
+              goto ok
+            end
+          end
+          -- loop ended without satisfing condition
+          assert(false)
+         ::ok::
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: test random for small intervals", function (t) {
+    let luaCode = `
+        math.randomseed(0)
+
+        do
+          local function aux (p, lim)   -- test random for small intervals
+            local x1, x2
+            if #p == 1 then x1 = 1; x2 = p[1]
+            else x1 = p[1]; x2 = p[2]
+            end
+            local mark = {}; local count = 0   -- to check that all values appeared
+            for i = 0, lim or 2000 do
+              local t = math.random(table.unpack(p))
+              assert(x1 <= t and t <= x2)
+              if not mark[t] then  -- new value
+                mark[t] = true
+                count = count + 1
+              end
+              if count == x2 - x1 + 1 then   -- all values appeared; OK
+                goto ok
+              end
+            end
+            -- loop ended without satisfing condition
+            assert(false)
+           ::ok::
+          end
+
+          aux({-10,0})
+          aux({6})
+          aux({-10, 10})
+          aux({minint, minint})
+          aux({maxint, maxint})
+          aux({minint, minint + 9})
+          aux({maxint - 3, maxint})
+        end
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: test random for large intervals", function (t) {
+    let luaCode = `
+        math.randomseed(0)
+
+        do
+          local function aux(p1, p2)       -- test random for large intervals
+            local max = minint
+            local min = maxint
+            local n = 200
+            local mark = {}; local count = 0   -- to count how many different values
+            for _ = 1, n do
+              local t = math.random(p1, p2)
+              max = math.max(max, t)
+              min = math.min(min, t)
+              if not mark[t] then  -- new value
+                mark[t] = true
+                count = count + 1
+              end
+            end
+            -- at least 80% of values are different
+            assert(count >= n * 0.8)
+            -- min and max not too far from formal min and max
+            local diff = (p2 - p1) // 8
+            assert(min < p1 + diff and max > p2 - diff)
+          end
+          aux(0, maxint)
+          aux(1, maxint)
+          aux(minint, -1)
+          aux(minint // 2, maxint // 2)
+        end
+
+        for i=1,100 do
+          assert(math.random(maxint) > 0)
+          assert(math.random(minint, -1) < 0)
+        end
+
+        assert(not pcall(math.random, 1, 2, 3))    -- too many arguments
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: test random for empty interval", function (t) {
+    let luaCode = `
+        math.randomseed(0)
+
+        assert(not pcall(math.random, minint + 1, minint))
+        assert(not pcall(math.random, maxint, maxint - 1))
+        assert(not pcall(math.random, maxint, minint))
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});
+
+
+test("[test-suite] math: interval too large", function (t) {
+    let luaCode = `
+        math.randomseed(0)
+
+        assert(not pcall(math.random, minint, 0))
+        assert(not pcall(math.random, -1, maxint))
+        assert(not pcall(math.random, minint // 2, maxint // 2 + 1))
+    `, L;
+    
+    t.plan(2);
+
+    t.doesNotThrow(function () {
+
+        L = lauxlib.luaL_newstate();
+
+        lualib.luaL_openlibs(L);
+
+        lauxlib.luaL_loadstring(L, lua.to_luastring(prefix + luaCode));
+
+    }, "Lua program loaded without error");
+
+    t.doesNotThrow(function () {
+
+        lua.lua_call(L, 0, -1);
+
+    }, "Lua program ran without error");
+
+});