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Diffstat (limited to 'test/test-suite/math.js')
| -rw-r--r-- | test/test-suite/math.js | 1604 |
1 files changed, 1604 insertions, 0 deletions
diff --git a/test/test-suite/math.js b/test/test-suite/math.js new file mode 100644 index 0000000..1e54772 --- /dev/null +++ b/test/test-suite/math.js @@ -0,0 +1,1604 @@ +"use strict"; + +const test = require('tape'); + +const lua = require('../../src/lua.js'); +const lauxlib = require('../../src/lauxlib.js'); +const lualib = require('../../src/lualib.js'); +const {to_luastring} = require("../../src/fengaricore.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 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 + + 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, 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 = ` + 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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", 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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 = ` + 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, 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 = ` + 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, 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 = ` + 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, 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 = ` + 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, to_luastring(prefix + luaCode)); + + }, "Lua program loaded without error"); + + t.doesNotThrow(function () { + + lua.lua_call(L, 0, -1); + + }, "Lua program ran without error"); + +}); |