مَوادَس کُن گٔژھِو

Module:ConvertNumeric

وِکیٖپیٖڈیا پؠٹھٕ، اَکھ آزاد اِنسایکلوپیٖڈیا

"یَمہٕ ماڈیوٗلُک دَستاویز ییٚہِ Module:ConvertNumeric/دَستاویز جاے بَناونہٕ"

-- Module for converting between different representations of numbers. See talk page for user documentation.
-- For unit tests see: [[Module:ConvertNumeric/testcases]]
-- When editing, preview with: [[Module_talk:ConvertNumeric/testcases]]
-- First, edit [[Module:ConvertNumeric/sandbox]], then preview with [[Module_talk:ConvertNumeric/sandbox/testcases]]
local numbers = {}
numbers[0] = {
	cardinal = "صِفَر",
	ordinal = {"—"},
}

numbers[1] = {
	cardinal = "اَکھ",
	ordinal = { "گۄڈنیُٛک", "أکیُٛم","أکِم","گۄڈنِچ"},
}

numbers[2] = {
	cardinal = "زٕ",
	ordinal = {"دۆیُم","دۆیِم"},
	multiplier = "دۆگُن",
}

numbers[3] = {
	cardinal = "ترٛےٚ",
	ordinal = {"ترٛیٚیُم","ترٛیٚیِم"},
	multiplier = "ترٛۆگُن",
}

numbers[4] = {
	cardinal = "ژور",
	ordinal = {"ژوٗریُٛم","ژوٗرِم"},
	multiplier = "ژۆگُن",
}

numbers[5] = {
	cardinal = {"پانٛژھ","پٲنٛژھ"},
	ordinal = {"پٟنٛژیُٛم","پٟنژِم"},
    multiplier = "پانٛژٕگُن",
}

numbers[6] = {
	cardinal = "شےٚ",
	ordinal = {"شیٚیُم","شیٚیِم"},
    multiplier = "شُگُن",
}

numbers[7] = {
	cardinal = "سَتھ",
	ordinal = {"سٔتیُٛم","سٔتِم"},
    multiplier = "سَتہٕ گُن", 
}

numbers[8] = {
	cardinal = "ٲٹھ",
	ordinal = {"اٟٹھیُٛم","اوٗٹھیُٛم","اٟٹھِم","اوٗٹھِم"},
    multiplier = "ٲٹھٕ گُن", 
}

numbers[9] = {
	cardinal = "نَو",
	ordinal = {"نٔویُٛم"," نٔوِم"},
    multiplier = "نَوٕگُن",
}

numbers[10] = {
	cardinal = { "دٔہ","داہ "},
	ordinal = {"دٔہیُٛم"," دٔہِم"},
    multiplier = "دٔہہٕ گۆن",
}

numbers[11] = {
    cardinal = { "کَہہ", "کاہ "},
    ordinal = {"کٔہیُٛم ","کٔہِم"},
}

numbers[12] = {
	cardinal = {"بَہہ","باہ"},
	ordinal = {"بٔہیُٛم"," بٔہِم"},
}

numbers[13] = {
	cardinal = "ترُٛواہ",
	ordinal = {"ترُٛوٲہیُٛم","ترُٛوٲہِم"},
}

numbers[14] = {
	cardinal = "ژۄداہ",
	ordinal = {"ژۄدٲہیُٛم ","ژۄدٲہِم"},
}

numbers[15] = {
	cardinal = "پَنٛداہ",
	ordinal = {"پَنٛدٲہیُٛم","پَنٛدٲہِم"},
}

numbers[16] = {
	cardinal = "شُراہ",
	ordinal = {"شُرٲہیُٛم","شُرٲہِم"},
}

numbers[17] = {
	cardinal = "سَداہ",
	ordinal = {"سَدٲہیُٛم ","سَدٲہِم"}, 
}

numbers[18] = {
	cardinal = "اَرٕداہ",
	ordinal = {"اَرٕدٲہیُٛم ","اَرٕدٲہِم"},
}

numbers[19] = {
	cardinal = "کُنہٕ وُہ",
	ordinal = {"کُنہٕ وُہیُٛم","کُنہٕ وُہِم"},
}

numbers[20] = {
	cardinal = "وُہ",
	ordinal = {"وُہیُٛم","وُہِم"},
}

numbers[21] = {
	cardinal = "اَکہٕ وُہ",
	ordinal = {"اَکہٕ وُہیُٛم", "اَکہٕ وُہِم"},
}

numbers[22] = {
	cardinal = "زٕتووُہ",
	ordinal = {"زٕتووُہیُٛم","زٕتووُہِم"},
}

numbers[23] = {
	cardinal = "ترٛۆوُہ",
	ordinal = {"ترٛۆوُہیُٛم","ترٛۆوُہِم"},
}

numbers[24] = {
	cardinal = "ژۆوُہ",
	ordinal = {"ژۆوُہیُٛم","ژۆوُہِم"},
}

numbers[25] = {
	cardinal = "پٕنٛژٕہ",
	ordinal = {"پٕنٛژٕہیُٛم","پٕنٛژٕہِم"},
}

numbers[26] = {
	cardinal = "شَتہٕ وُہ",
	ordinal = {"شَتہٕ وُہیُٛم","شَتہٕ وُہِم"},
}

numbers[27] = {
	cardinal = "سَتووُہ",
	ordinal = {"سَتووُہیُٛم","سَتووُہِم"},
}

numbers[28] = {
	cardinal = "اَٹھووُہ",
	ordinal = {"اَٹھووُہیُٛم","اَٹھووُہِم"},
}

numbers[29] = {
	cardinal = "کُنہٕ ترٕٛہ",
	ordinal = {"کُنہٕ ترٕٛہیُٛم","کُنہٕ ترٕٛہِم"},
}

numbers[30] = {
	cardinal = "ترٕٛہ",
	ordinal = {"ترٕٛہیُٛم"," ترٕٛہِم"},
}

numbers[31] = {
	cardinal = "اَکہٕ ترٕٛہ",
	ordinal = {"اَکہٕ ترٕٛہیُٛم ","اَکہٕ ترٕٛہِم"},
}

numbers[32] = {
	cardinal = "دۄیہِ ترٕٛہ",
	ordinal = {"دۄیہِ ترٕٛہیُٛم","دۄیہِ ترٕٛہِم"},
}

numbers[33] = {
	cardinal = "تیٚیہِ ترٕٛہ",
	ordinal = {"تیٚیہِ ترٕٛہیُٛم","تیٚیہِ ترٕٛہِم"},
}

numbers[34] = {
	cardinal = "ژۄیہِ ترٕٛہ",
	ordinal = {"ژۄیہِ ترٕٛہیُٛم ","ژۄیہِ ترٕٛہِم"},
}

numbers[35] = {
	cardinal = {"پٲنٛژٕ ترٕٛہ","پانٛژٕ ترٕٛہ"},
	ordinal = {"پٲنٛژٕ ترٕٛہیُٛم","پانٛژٕ ترٕٛہِم","پٲنٛژٕ ترٕٛہیُٛم"," پانٛژٕ ترٕٛہِم"},
}

numbers[36] = {
	cardinal = "شیٚیہِ ترٕٛہ",
	ordinal = {"شیٚیہِ ترٕٛہیُٛم","شیٚیہِ ترٕٛہِم"},
}

numbers[37] = {
	cardinal = "سَتہٕ ترٕٛہ",
	ordinal = {"سَتہٕ ترٕٛہیُٛم ","سَتہٕ ترٕٛہِم"},
}

numbers[38] = {
	cardinal = "اَرٕترٕٛہ",
	ordinal = {"اَرٕترٕٛہیُٛم","اَرٕترٕٛہِم"},
}

numbers[39] = {
	cardinal = {"کُنہٕ تٲجِہہ","کُنہٕ تٲجی"},
	ordinal = {"کُنہٕ تٲجِہیُٛم","کُنہٕ تٲجِہِم"},
}

numbers[40] = {
	cardinal = {"ژَتجِہہ","ژَتجی"},
	ordinal = {"ژَتجِہیُٛم"," ژَتجِہِم"},
}

numbers[41] = {
	cardinal = {"اَکہٕ تٲجِہہ","اَکہٕ تٲجی"},
	ordinal = {"اَکہٕ تٲجِہیُٛم","اَکہٕ تٲجِہِم"},
}

numbers[42] = {
	cardinal = {"دۄیہِ تٲجِہہ","دۄیہِ تٲجی"},
	ordinal = {"دۄیہِ تٲجِہیُٛم"," دۄیہِ تٲجِہِم"},
}

numbers[43] = {
	cardinal = {"تیٚیہِ تٲجِہہ","تیٚیہِ تٲجی"},
	ordinal = {"تیٚیہِ تٲجِہیُٛم","تیٚیہِ تٲجِہِم"},
}

numbers[44] = {
	cardinal = {"ژۄیہِ تٲجِہہ","ژۄیہِ تٲجی"},
	ordinal = {"ژۄیہِ تٲجِہیُٛم","ژۄیہِ تٲجِہِم"},
}

numbers[45] = {
	cardinal = {"پٲنٛژٕ تٲجِہہ","پانٛژٕ تٲجِہہ","پٲنٛژٕ تٲجی","پانٛژٕ تٲجی"},
	ordinal = {"پٲنٛژٕتٲجِہیُٛم","پانٛژٕتٲجِہیُٛم","پٲنٛژٕتٲجِہِم","پانٛژٕتٲجِہِم"},
}

numbers[46] = {
	cardinal = {"شیٚیہِ تٲجِہہ","شیٚیہِ تٲجی"},
	ordinal = {"شیٚیہِ تٲجِہیُٛم","شیٚیہِ تٲجِہِم"},
}

numbers[47] = {
	cardinal = {"سَتہٕ تٲجِہہ","سَتہٕ تٲجی"},
	ordinal = {"سَتہٕ تٲجِہیُٛم","سَتہٕ تٲجِہِم"},
}

numbers[48] = {
	cardinal = {"اَرٕتٲجِہہ","اَرٕتٲجی"},
	ordinal = {"اَرٕتٲجِہیُٛم","اَرٕتٲجِہِم"},
}

numbers[49] = {
	cardinal = "کُنہٕ وَنٛزاہ",
	ordinal = {"کُنہٕ وَنٛزٲہیُٛم","کُنہٕ وَنٛزٲہِم"},
}

numbers[50] = {
	cardinal = "پَنٛژاہ",
	ordinal = {"پَنٛژٲہیُٛم","پَنٛژٲہِم"},
}

numbers[51] = {
	cardinal = "اَکہٕ وَنٛزاہ",
	ordinal = {"اَکہٕ وَنٛزٲہیُٛم","اَکہٕ وَنٛزٲہِم"},
}

numbers[52] = {
	cardinal = "دُوَنٛزاہ",
	ordinal = {"دُوَنٛزٲہیُٛم","دُوَنٛزٲہِم"},
}

numbers[53] = {
	cardinal = {"ترُٛوَنٛزاہ","ترٕٛوَنٛزاہ"},
	ordinal = {"ترُٛوَنٛزٲہیُٛم","ترُٛوَنٛزٲہِم","ترٕٛوَنٛزٲہیُٛم","ترٕٛوَنٛزٲہِم"},
}

numbers[54] = {
	cardinal = "ژُوَنٛزاہ",
	ordinal = {"ژُوَنٛزٲہیُٛم","ژُوَنٛزٲہِم"},
}

numbers[55] = {
	cardinal = {"پٲنٛژٕ وَنٛزاہ","پانٛژٕ وَنٛزاہ"},
	ordinal = {"پٲنٛژٕ وَنٛزٲہیُٛم","پانٛژٕ وَنٛزٲہیُٛم","پٲنٛژٕ وَنٛزٲہِم"," پانٛژٕ وَنٛزٲہِم"},
}

numbers[56] = {
	cardinal = "شُوَنٛزاہ",
	ordinal = {"شُوَنٛزٲہیُٛم"," شُوَنٛزٲہِم"},
}

numbers[57] = {
	cardinal = "سَتہٕ وَنٛزاہ",
	ordinal = {"سَتہٕ وَنٛزٲہیُٛم","سَتہٕ وَنٛزٲہِم"},
}

numbers[58] = {
	cardinal = "اَرٕوَنٛزاہ",
	ordinal = {"اَرٕوَنٛزٲہیُٛم","اَرٕوَنٛزٲہِم"},
}

numbers[59] = {
	cardinal = "کُنہٕ ہٲٹھ",
	ordinal = {"کُنہٕ ہٲٹھیُٛم","کُنہٕ ہٲٹھِم"},
}

numbers[60] = {
	cardinal = "شیٹھ",
	ordinal = {"شیٹھیُٛم","شیٹھِم"},
}

numbers[61] = {
	cardinal = "اَکہٕ ہٲٹھ",
	ordinal = {"اَکہٕ ہٲٹھیُٛم","اَکہٕ ہٲٹھِم"},
}

numbers[62] = {
	cardinal = "دُ ہٲٹھ",
	ordinal = {"دُ ہٲٹھیُٛم","دُ ہٲٹھِم"},
}

numbers[63] = {
	cardinal = {"ترُٛہٲٹھ","ترٕٛہٲٹھ"},
	ordinal = {"ترُٛہٲٹھیُٛم","ترُٛہٲٹھِم","ترٕٛہٲٹھیُٛم","ترٕٛہٲٹھِم"},
}

numbers[64] = {
	cardinal = "ژُہٲٹھ",
	ordinal = {"ژُہٲٹھیُٛم","ژُہٲٹھِم"},
}

numbers[65] = {
	cardinal = {"پٲنٛژٕ ہٲٹھ","پانٛژٕ ہٲٹھ"},
	ordinal = {"پٲنٛژٕ ہٲٹھیُٛم","پانٛژٕ ہٲٹھیُٛم","پٲنٛژٕ ہٲٹھیُٛم","پانٛژٕ ہٲٹھِم"},
}

numbers[66] = {
	cardinal = "شُہٲٹھ",
	ordinal = {"شُہٲٹھیُٛم","شُہٲٹھِم"},
}

numbers[67] = {
	cardinal = "سَتہٕ ہٲٹھ",
	ordinal = {"سَتہٕ ہٲٹھیُٛم","سَتہٕ ہٲٹھِم"},
}

numbers[68] = {
	cardinal = "اَرٕہٲٹھ",
	ordinal = {"اَرٕہٲٹھیُٛم","اَرٕہٲٹھِم"},
}

numbers[69] = {
	cardinal = "کُنہٕ سَتَتھ",
	ordinal = {"کُنہٕ سَتَتیُٛم","کُنہٕ سَتَتِم"},
}

numbers[70] = {
	cardinal = "سَتَتھ",
	ordinal = {"سَتَتیُٛم","سَتَتِم"},
}

numbers[71] = {
	cardinal = "اَکہٕ سَتَتھ",
	ordinal = {"اَکہٕ سَتَتیُٛم"," اَکہٕ سَتَتِم"},
}

numbers[72] = {
	cardinal = "دُسَتَتھ",
	ordinal = {"دُسَتَتیُٛم","دُسَتَتِم"},
}

numbers[73] = {
	cardinal = {"ترُٛسَتَتھ","ترٕٛسَتَتھ"},
	ordinal = {"ترُٛسَتَتیُٛم","ترُٛسَتَتِم","ترٕٛسَتَتیُٛم","ترٕٛسَتَتِم"},
}

numbers[74] = {
	cardinal = "ژُسَتَتھ",
	ordinal = {"ژُسَتَتیُٛم","ژُسَتَتِم"},
}

numbers[75] = {
	cardinal = {"پٲنٛژٕ سَتَتھ","پانٛژٕ سَتَتھ"},
	ordinal = {"پٲنٛژٕ سَتَتیُٛم","پانٛژٕ سَتَتیُٛم","پٲنٛژٕ سَتَتِم","پانٛژٕ سَتَتِم"},
}

numbers[76] = {
	cardinal = "شُسَتَتھ",
	ordinal = {"شُسَتَتیُٛم","شُسَتَتِم"},
}

numbers[77] = {
	cardinal = "سَتہٕ سَتَتھ",
	ordinal = {"سَتہٕ سَتَتیُٛم","سَتہٕ سَتَتِم"},
}

numbers[78] = {
	cardinal = "اَرٕسَتَتھ",
	ordinal = {"اَرٕسَتَتیُٛم","اَرٕسَتَتِم"},
}

numbers[79] = {
	cardinal = "کُنہٕ شيٖتھ",
	ordinal = {"کُنہٕ شيٖتیُٛم","کُنہٕ شيٖتِم"},
}

numbers[80] = {
	cardinal = "شيٖتھ",
	ordinal = {"شيٖتیُٛم","شيٖتِم"},
}

numbers[81] = {
	cardinal = "اَکہٕ شيٖتھ",
	ordinal = {"اَکہٕ شيٖتیُٛم","اَکہٕ شيٖتِم"},
}

numbers[82] = {
	cardinal = "دۄیہِ شيٖتھ",
	ordinal = {"دۄیہِ شيٖتیُٛم"," دۄیہِ شيٖتِم"},
}

numbers[83] = {
	cardinal = "ترٛیٚیہِ شيٖتھ",
	ordinal = {"ترٛیٚیہِ شيٖتیُٛم","ترٛیٚیہِ شيٖتِم"},
}

numbers[84] = {
	cardinal = "ژۄیہِ شيٖتھ",
	ordinal = {"ژۄیہِ شيٖتیُٛم"," ژۄیہِ شيٖتِم"},
}

numbers[85] = {
	cardinal = {"پٲنٛژٕ شيٖتھ","پانٛژٕ شيٖتھ"},
	ordinal = {"پٲنٛژٕ شيٖتیُٛم","پانٛژٕ شيٖتیُٛم","پٲنٛژٕ شيٖتِم","پانٛژٕ شيٖتِم"}
}

numbers[86] = {
	cardinal = "شیٚیہِ شيٖتھ",
	ordinal = {"شیٚیہِ شيٖتیُٛم","شیٚیہِ شيٖتِم"},
}

numbers[87] = {
	cardinal = "سَتہٕ شيٖتھ",
	ordinal = {"سَتہٕ شيٖتیُٛم","سَتہٕ شيٖتِم"},
}

numbers[88] = {
	cardinal = "اَرٕشيٖتھ",
	ordinal = {"اَرٕشيٖتیُٛم","اَرٕشيٖتِم"},
}

numbers[89] = {
	cardinal = "کُنہٕ نَمَتھ",
	ordinal = {"کُنہٕ نَمَتیُٛم","کُنہٕ نَمَتِم"},
}

numbers[90] = {
	cardinal = "نَمَتھ",
	ordinal = {"نَمَتیُٛم","نَمَتِم"},
}

numbers[91] = {
	cardinal = "اَکہٕ نَمَتھ",
	ordinal = {"اَکہٕ نَمَتیُٛم","اَکہٕ نَمَتِم"},
}

numbers[92] = {
	cardinal = "دُنَمَتھ",
	ordinal = {"دُنَمَتیُٛم","دُنَمَتِم"},
}

numbers[93] = {
	cardinal = {"ترُٛنَمَتھ","ترٕٛنَمَتھ"},
	ordinal = {"ترُٛنَمَتیُٛم","ترُٛنَمَتِم","ترٕٛنَمَتیُٛم","ترٕٛنَمَتِم"},
}

numbers[94] = {
	cardinal = "ژُنَمَتھ",
	ordinal = {"ژُنَمَتیُٛم","ژُنَمَتِم"},
}

numbers[95] = {
	cardinal = {"پٲنٛژٕ نَمَتھ","پانٛژٕ نَمَتھ"},
	ordinal = {"پٲنٛژٕ نَمَتیُٛم","پانٛژٕ نَمَتیُٛم","پٲنٛژٕ نَمَتِم","پانٛژٕ نَمَتِم"},
}

numbers[96] = {
	cardinal = "شُنَمَتھ",
	ordinal = {"شُنَمَتیُٛم","شُنَمَتِم"},
}

numbers[97] = {
	cardinal = "سَتہٕ نَمَتھ",
	ordinal = {"سَتہٕ نَمَتیُٛم","سَتہٕ نَمَتِم"},
}

numbers[98] = {
	cardinal = "اَرٕنَمَتھ",
	ordinal = {"اَرٕنَمَتیُٛم","اَرٕنَمَتِم"},
}

numbers[99] = {
	cardinal = "نَمہٕ نَمَتھ",
	ordinal = {"نَمہٕ نَمَتیُٛم","نَمہٕ نَمَتِم"},
}

numbers[100] = {
	cardinal = "ہَتھ",
	ordinal = {"ہَتیُٛم","ہَتِم"},
}

numbers[101] = {
	cardinal = "اَکھ ہَتھ تہٕ اَکھ",
	ordinal = {"اَکھ ہَتھ تہٕ أکیُٛم","اَکھ ہَتھ تہٕ أکِم"},
}

numbers[200] = {
	cardinal = "زٕ ہَتھ",
	ordinal = {"دُہَتیُٛم","دُہَتِم"},
}

numbers[300] = {
	cardinal = "ترٛےٚ ہَتھ",
	ordinal = {"ترٕٛہَتیُٛم","ترٕٛہَتِم"},
}

numbers[400] = {
	cardinal = "ژور ہَتھ",
	ordinal = {"ژُہَتیُٛم","ژُہَتِم"},
}

numbers[500] = {
	cardinal = {"پانٛژھ ہَتھ","پٲنٛژھ ہَتھ"},
	ordinal = {"پٲنٛژٕہَتیُٛم","پانٛژٕہَتیُٛم","پٲنٛژٕہَتِم","پانٛژٕہَتِم"},
}

numbers[600] = {
	cardinal = "شےٚ ہَتھ",
	ordinal = {"شےٚ ہَتیُٛم ","شےٚ ہَتِم"},
}

numbers[700] = {
	cardinal = "سَتھ ہَتھ",
	ordinal = {"سَتہٕ ہَتیُٛم","سَتہٕ ہَتِم"},
}

numbers[800] = {
	cardinal = "ٲٹھ شَتھ",
	ordinal = {"ٲٹھ شَتیُٛم","ٲٹھ شَتِم"},
}

numbers[900] = {
	cardinal = "نَو شَتھ",
	ordinal = {"نَو شَتیُٛم","نَو شَتِم"},
}

numbers[1000] = {
	cardinal = "ساس",
	ordinal = {"سٲسیُٛم","سٲسِم"},
}

numbers[1001] = {
	cardinal = "اَکھ ساس اَکھ",
	ordinal = {"اَکھ ساس أکیُٛم","اَکھ ساس أکِم"},
}

numbers[1100] = {
	cardinal = {"اَکھ ساس ہَتھ","کَہہ شَتھ","کاہ شَتھ"},
	ordinal = {"اَکھ ساس ہَتیُٛم","اَکھ ساس ہَتِم","کَہہ شَتیُٛم","کاہ شَتیُٛم","کَہہ شَتِم"," کاہ شَتِم"},
}

numbers[10000] = {
	cardinal = {"دٔہ ساس","داہ ساس"},
	ordinal = {"دٔہ سٲسیُٛم","داہ سٲسیُٛم","دٔہ سٲسِم","داہ سٲسِم"},
}

numbers[100000] = {
	cardinal = "لَچھ",
	ordinal = {"لَچھیُٛم","لَچھِم"},
}

numbers[1000000] = {
	cardinal = {"دٔہ لَچھ","داہ لَچھ"},
	ordinal = {"دٔہ لَچھیُٛم","داہ لَچھیُٛم","دٔہ لَچھِم","داہ لَچھِم"},
}

numbers[10000000] = {
	cardinal = {"کَرور", "کۄرور"},
	ordinal = {"کَروریُٛم","کۄروریُٛم","کَرورِم","کۄرورِم"},
}

numbers[1000000000] = {
	cardinal = "اَرَب",
	ordinal = {"اَرَبیُٛم","اَرَبِم"},
}

numbers[100000000000] = {
	cardinal = "کھَرَب",
	ordinal = {"کھَرَبیُٛم", "کھَرَبِم"},
}

local roman_numerals = {
	I = 1,
	V = 5,
	X = 10,
	L = 50,
	C = 100,
	D = 500,
	M = 1000
}

-- Converts a given valid roman numeral (and some invalid roman numerals) to a number. Returns -1, errorstring on error
local function roman_to_numeral(roman)
	if type(roman) ~= "string" then return -1, "roman numeral not a string" end
	local rev = roman:reverse()
	local raising = true
	local last = 0
	local result = 0
	for i = 1, #rev do
		local c = rev:sub(i, i)
		local next = roman_numerals[c]
		if next == nil then return -1, "roman numeral contains illegal character " .. c end
		if next > last then
			result = result + next
			raising = true
		elseif next < last then
			result = result - next
			raising = false
		elseif raising then
			result = result + next
		else
			result = result - next
		end
		last = next
	end
	return result
end

-- Converts a given integer between 0 and 100 to English text (e.g. 47 -> forty-seven)
local function numeral_to_english_less_100(num, ordinal, plural, zero)
	local terminal_ones, terminal_tens
	if ordinal then
		terminal_ones = ones_position_ord
		terminal_tens = tens_position_ord
	elseif plural then
		terminal_ones = ones_position_plural
		terminal_tens = tens_position_plural
	else
		terminal_ones = ones_position
		terminal_tens = tens_position
	end

	if num == 0 and zero ~= nil then
		return zero
	elseif num < 20 then
		return terminal_ones[num]
	elseif num % 10 == 0 then
		return terminal_tens[num / 10]
	else
		return tens_position[math.floor(num / 10)] .. '-' .. terminal_ones[num % 10]
	end
end

local function standard_suffix(ordinal, plural)
	if ordinal then return 'th' end
	if plural then return 's' end
	return ''
end

-- Converts a given integer (in string form) between 0 and 1000 to English text (e.g. 47 -> forty-seven)
local function numeral_to_english_less_1000(num, use_and, ordinal, plural, zero)
	num = tonumber(num)
	if num < 100 then
		return numeral_to_english_less_100(num, ordinal, plural, zero)
	elseif num % 100 == 0 then
		return ones_position[num/100] .. ' hundred' .. standard_suffix(ordinal, plural)
	else
		return ones_position[math.floor(num/100)] .. ' hundred ' .. (use_and and 'and ' or '') .. numeral_to_english_less_100(num % 100, ordinal, plural, zero)
	end
end

-- Converts an English-text ordinal between 'zeroth' and 'ninety-ninth' to a number [0–99], else -1
local function english_to_ordinal(english)
	local eng = string.lower(english or '')
	
	local eng_lt20 = eng_lt20
	local eng_tens_end = eng_tens_end
	local eng_tens_cont = eng_tens_cont
	
	if eng_lt20[eng] then
		return eng_lt20[eng] --e.g. first -> 1
	elseif eng_tens_end[eng] then
		return eng_tens_end[eng] --e.g. ninetieth -> 90
	else
		local tens, ones = string.match(eng, '^([a-z]+)%-([a-z]+)$')
		if tens and ones then
			local tens_cont = eng_tens_cont[tens]
			local ones_end  = eng_lt20[ones]
			if tens_cont and ones_end then
				return tens_cont + ones_end --e.g. ninety-ninth -> 99
			end
		end
	end
	return -1 --failed
end

-- Converts a number expressed as a string in scientific notation to a string in standard decimal notation
-- e.g. 1.23E5 -> 123000, 1.23E-5 = .0000123. Conversion is exact, no rounding is performed.
local function scientific_notation_to_decimal(num)
	local exponent, subs = num:gsub("^%-?%d*%.?%d*%-?[Ee]([+%-]?%d+)$", "%1")
	if subs == 0 then return num end  -- Input not in scientific notation, just return unmodified
	exponent = tonumber(exponent)

	local negative = num:find("^%-")
	local _, decimal_pos = num:find("%.")
	-- Mantissa will consist of all decimal digits with no decimal point
	local mantissa = num:gsub("^%-?(%d*)%.?(%d*)%-?[Ee][+%-]?%d+$", "%1%2")
	if negative and decimal_pos then decimal_pos = decimal_pos - 1 end
	if not decimal_pos then decimal_pos = #mantissa + 1 end

	-- Remove leading zeros unless decimal point is in first position
	while decimal_pos > 1 and mantissa:sub(1,1) == '0' do
		mantissa = mantissa:sub(2)
		decimal_pos = decimal_pos - 1
	end
	-- Shift decimal point right for exponent > 0
	while exponent > 0 do
		decimal_pos = decimal_pos + 1
		exponent = exponent - 1
		if decimal_pos > #mantissa + 1 then mantissa = mantissa .. '0' end
		-- Remove leading zeros unless decimal point is in first position
		while decimal_pos > 1 and mantissa:sub(1,1) == '0' do
			mantissa = mantissa:sub(2)
			decimal_pos = decimal_pos - 1
		end
	end
	-- Shift decimal point left for exponent < 0
	while exponent < 0 do
		if decimal_pos == 1 then
			mantissa = '0' .. mantissa
		else
			decimal_pos = decimal_pos - 1
		end
		exponent = exponent + 1
	end

	-- Insert decimal point in correct position and return
	return (negative and '-' or '') .. mantissa:sub(1, decimal_pos - 1) .. '.' .. mantissa:sub(decimal_pos)
end

-- Rounds a number to the nearest integer (NOT USED)
local function round_num(x)
	if x%1 >= 0.5 then
		return math.ceil(x)
	else
		return math.floor(x)
	end
end

-- Rounds a number to the nearest two-word number (round = up, down, or "on" for round to nearest)
-- Numbers with two digits before the decimal will be rounded to an integer as specified by round.
-- Larger numbers will be rounded to a number with only one nonzero digit in front and all other digits zero.
-- Negative sign is preserved and does not count towards word limit.
local function round_for_english(num, round)
	-- If an integer with at most two digits, just return
	if num:find("^%-?%d?%d%.?$") then return num end

	local negative = num:find("^%-")
	if negative then
		-- We're rounding magnitude so flip it
		if round == 'up' then round = 'down' elseif round == 'down' then round = 'up' end
	end

	-- If at most two digits before decimal, round to integer and return
	local _, _, small_int, trailing_digits, round_digit = num:find("^%-?(%d?%d?)%.((%d)%d*)$")
	if small_int then
		if small_int == '' then small_int = '0' end
		if (round == 'up' and trailing_digits:find('[1-9]')) or (round == 'on' and tonumber(round_digit) >= 5) then
			small_int = tostring(tonumber(small_int) + 1)
		end
		return (negative and '-' or '') .. small_int
	end

	-- When rounding up, any number with > 1 nonzero digit will round up (e.g. 1000000.001 rounds up to 2000000)
	local nonzero_digits = 0
	for digit in num:gfind("[1-9]") do
		nonzero_digits = nonzero_digits + 1
	end

	num = num:gsub("%.%d*$", "") -- Remove decimal part
	-- Second digit used to determine which way to round lead digit
	local _, _, lead_digit, round_digit, round_digit_2, rest = num:find("^%-?(%d)(%d)(%d)(%d*)$")
	if tonumber(lead_digit .. round_digit) < 20 and (1 + #rest) % 3 == 0 then
		-- In English numbers < 20 are one word so put 2 digits in lead and round based on 3rd
		lead_digit = lead_digit .. round_digit
		round_digit = round_digit_2
	else
		rest = round_digit_2 .. rest
	end

	if (round == 'up' and nonzero_digits > 1) or (round == 'on' and tonumber(round_digit) >= 5) then
		lead_digit = tostring(tonumber(lead_digit) + 1)
	end
	-- All digits but lead digit will turn to zero
	rest = rest:gsub("%d", "0")
	return (negative and '-' or '') .. lead_digit .. '0' .. rest
end

local denominators = {
	[2] = { 'half', plural = 'halves' },
	[3] = { 'third' },
	[4] = { 'quarter', us = 'fourth' },
	[5] = { 'fifth' },
	[6] = { 'sixth' },
	[8] = { 'eighth' },
	[9] = { 'ninth' },
	[10] = { 'tenth' },
	[16] = { 'sixteenth' },
}

-- Return status, fraction where:
-- status is a string:
--     "finished" if there is a fraction with no whole number;
--     "ok" if fraction is empty or valid;
--     "unsupported" if bad fraction;
-- fraction is a string giving (numerator / denominator) as English text, or is "".
-- Only unsigned fractions with a very limited range of values are supported,
-- except that if whole is empty, the numerator can use "-" to indicate negative.
-- whole (string or nil): nil or "" if no number before the fraction
-- numerator (string or nil): numerator, if any (default = 1 if a denominator is given)
-- denominator (string or nil): denominator, if any
-- sp_us (boolean): true if sp=us
-- negative_word (string): word to use for negative sign, if whole is empty
-- use_one (boolean): false: 2+1/2 → "two and a half"; true: "two and one-half"
local function fraction_to_english(whole, numerator, denominator, sp_us, negative_word, use_one)
	if numerator or denominator then
		local finished = (whole == nil or whole == '')
		local sign = ''
		if numerator then
			if finished and numerator:sub(1, 1) == '-' then
				numerator = numerator:sub(2)
				sign = negative_word .. ' '
			end
		else
			numerator = '1'
		end
		if not numerator:match('^%d+$') or not denominator or not denominator:match('^%d+$') then
			return 'unsupported', ''
		end
		numerator = tonumber(numerator)
		denominator = tonumber(denominator)
		local dendata = denominators[denominator]
		if not (dendata and 1 <= numerator and numerator <= 99) then
			return 'unsupported', ''
		end
		local numstr, denstr
		local sep = '-'
		if numerator == 1 then
			denstr = sp_us and dendata.us or dendata[1]
			if finished or use_one then
				numstr = 'one'
			elseif denstr:match('^[aeiou]') then
				numstr = 'an'
				sep = ' '
			else
				numstr = 'a'
				sep = ' '
			end
		else
			numstr = numeral_to_english_less_100(numerator)
			denstr = dendata.plural
			if not denstr then
				denstr = (sp_us and dendata.us or dendata[1]) .. 's'
			end
		end
		if finished then
			return 'finished', sign .. numstr .. sep .. denstr
		end
		return 'ok', ' and ' .. numstr .. sep .. denstr
	end
	return 'ok', ''
end

-- Takes a decimal number and converts it to English text.
-- Return nil if a fraction cannot be converted (only some numbers are supported for fractions).
-- num (string or nil): the number to convert.
--      Can be an arbitrarily large decimal, such as "-123456789123456789.345", and
--      can use scientific notation (e.g. "1.23E5").
--      May fail for very large numbers not listed in "groups" such as "1E4000".
--      num is nil if there is no whole number before a fraction.
-- numerator (string or nil): numerator of fraction (nil if no fraction)
-- denominator (string or nil): denominator of fraction (nil if no fraction)
-- capitalize (boolean): whether to capitalize the result (e.g. 'One' instead of 'one')
-- use_and (boolean): whether to use the word 'and' between tens/ones place and higher places
-- hyphenate (boolean): whether to hyphenate all words in the result, useful for use as an adjective
-- ordinal (boolean): whether to produce an ordinal (e.g. 'first' instead of 'one')
-- plural (boolean): whether to pluralize the resulting number
-- links: nil: do not add any links; 'on': link "billion" and larger to Orders of magnitude article;
--        any other text: list of numbers to link (e.g. "billion,quadrillion")
-- negative_word: word to use for negative sign (typically 'negative' or 'minus'; nil to use default)
-- round: nil or '': no rounding; 'on': round to nearest two-word number; 'up'/'down': round up/down to two-word number
-- zero: word to use for value '0' (nil to use default)
-- use_one (boolean): false: 2+1/2 → "two and a half"; true: "two and one-half"
local function _numeral_to_english(num, numerator, denominator, capitalize, use_and, hyphenate, ordinal, plural, links, negative_word, round, zero, use_one)
	if not negative_word then
		if use_and then
			-- TODO Should 'minus' be used when do not have sp=us?
			--      If so, need to update testcases, and need to fix "minus zero".
			-- negative_word = 'minus'
			negative_word = 'negative'
		else
			negative_word = 'negative'
		end
	end
	local status, fraction_text = fraction_to_english(num, numerator, denominator, not use_and, negative_word, use_one)
	if status == 'unsupported' then
		return nil
	end
	if status == 'finished' then
		-- Input is a fraction with no whole number.
		-- Hack to avoid executing stuff that depends on num being a number.
		local s = fraction_text
		if hyphenate then s = s:gsub("%s", "-") end
		if capitalize then s = s:gsub("^%l", string.upper) end
		return s
	end
	num = scientific_notation_to_decimal(num)
	if round and round ~= '' then
		if round ~= 'on' and round ~= 'up' and round ~= 'down' then
			error("Invalid rounding mode")
		end
		num = round_for_english(num, round)
	end

	-- Separate into negative sign, num (digits before decimal), decimal_places (digits after decimal)
	local MINUS = '−'  -- Unicode U+2212 MINUS SIGN (may be in values from [[Module:Convert]])
	if num:sub(1, #MINUS) == MINUS then
		num = '-' .. num:sub(#MINUS + 1)  -- replace MINUS with '-'
	elseif num:sub(1, 1) == '+' then
		num = num:sub(2)  -- ignore any '+'
	end
	local negative = num:find("^%-")
	local decimal_places, subs = num:gsub("^%-?%d*%.(%d+)$", "%1")
	if subs == 0 then decimal_places = nil end
	num, subs = num:gsub("^%-?(%d*)%.?%d*$", "%1")
	if num == '' and decimal_places then num = '0' end
	if subs == 0 or num == '' then error("Invalid decimal numeral") end

	-- For each group of 3 digits except the last one, print with appropriate group name (e.g. million)
	local s = ''
	while #num > 3 do
		if s ~= '' then s = s .. ' ' end
		local group_num = math.floor((#num - 1) / 3)
		local group = groups[group_num]
		local group_digits = #num - group_num*3
		s = s .. numeral_to_english_less_1000(num:sub(1, group_digits), false, false, false, zero) .. ' '
		if links and (((links == 'on' and group_num >= 3) or links:find(group)) and group_num <= 13) then
			s = s .. '[[Orders_of_magnitude_(numbers)#10' .. group_num*3 .. '|' .. group .. ']]'
		else
			s = s .. group
		end
		num = num:sub(1 + group_digits)
		num = num:gsub("^0*", "")  -- Trim leading zeros
	end

	-- Handle final three digits of integer part
	if s ~= '' and num ~= '' then
		if #num <= 2 and use_and then
			s = s .. ' and '
		else
			s = s .. ' '
		end
	end
	if s == '' or num ~= '' then
		s = s .. numeral_to_english_less_1000(num, use_and, ordinal, plural, zero)
	elseif ordinal or plural then
		-- Round numbers like "one million" take standard suffixes for ordinal/plural
		s = s .. standard_suffix(ordinal, plural)
	end

	-- For decimal places (if any) output "point" followed by spelling out digit by digit
	if decimal_places then
		s = s .. ' point'
		for i = 1, #decimal_places do
			s = s .. ' ' .. ones_position[tonumber(decimal_places:sub(i,i))]
		end
	end

	s = s:gsub("^%s*(.-)%s*$", "%1")   -- Trim whitespace
	if ordinal and plural then s = s .. 's' end  -- s suffix works for all ordinals
	if negative and s ~= zero then s = negative_word .. ' ' .. s end
	s = s:gsub("negative zero", "zero")
	s = s .. fraction_text
	if hyphenate then s = s:gsub("%s", "-") end
	if capitalize then s = s:gsub("^%l", string.upper) end
	return s
end

local function _numeral_to_english2(args)
	local num = args.num

	if (not tonumber(num)) then
		num = num:gsub("^%s*(.-)%s*$", "%1")   -- Trim whitespace
		num = num:gsub(",", "")   -- Remove commas
		num = num:gsub("^<span[^<>]*></span>", "") -- Generated by Template:age
		if num ~= '' then  -- a fraction may have an empty whole number
			if not num:find("^%-?%d*%.?%d*%-?[Ee]?[+%-]?%d*$") then
				-- Input not in a valid format, try to pass it through #expr to see
				-- if that produces a number (e.g. "3 + 5" will become "8").
				num = mw.getCurrentFrame():preprocess('{{#expr: ' .. num .. '}}')
			end
		end
	end

	-- Pass args from frame to helper function
	return _numeral_to_english(
		num,
		args['numerator'],
		args['denominator'],
		args['capitalize'],
		args['use_and'],
		args['hyphenate'],
		args['ordinal'],
		args['plural'],
		args['links'],
		args['negative_word'],
		args['round'],
		args['zero'],
		args['use_one']
	) or ''
end

local p = {  -- Functions that can be called from another module
	roman_to_numeral = roman_to_numeral,
	spell_number = _numeral_to_english,
	spell_number2 = _numeral_to_english2,	
	english_to_ordinal = english_to_ordinal,
}

function p._roman_to_numeral(frame) -- Callable via {{#invoke:ConvertNumeric|_roman_to_numeral|VI}}
	return roman_to_numeral(frame.args[1])
end

function p._english_to_ordinal(frame) -- callable via {{#invoke:ConvertNumeric|_english_to_ordinal|First}}
	return english_to_ordinal(frame.args[1])
end

function p.numeral_to_english(frame)
	local args = frame.args
	local num = args[1]
	num = num:gsub("^%s*(.-)%s*$", "%1")   -- Trim whitespace
	num = num:gsub(",", "")   -- Remove commas
	num = num:gsub("^<span[^<>]*></span>", "") -- Generated by Template:age
	if num ~= '' then  -- a fraction may have an empty whole number
		if not num:find("^%-?%d*%.?%d*%-?[Ee]?[+%-]?%d*$") then
			-- Input not in a valid format, try to pass it through #expr to see
			-- if that produces a number (e.g. "3 + 5" will become "8").
			num = frame:preprocess('{{#expr: ' .. num .. '}}')
		end
	end

	-- Pass args from frame to helper function
	return _numeral_to_english(
		num,
		args['numerator'],
		args['denominator'],
		args['case'] == 'U' or args['case'] == 'u',
		args['sp'] ~= 'us',
		args['adj'] == 'on',
		args['ord'] == 'on',
		args['pl'] == 'on',
		args['lk'],
		args['negative'],
		args['round'],
		args['zero'],
		args['one'] == 'one'  -- experiment: using '|one=one' makes fraction 2+1/2 give "two and one-half" instead of "two and a half"
	) or ''
end

---- recursive function for p.decToHex
local function decToHexDigit(dec)
	local dig = {"0","1","2","3","4","5","6","7","8","9","A","B","C","D","E","F"}
	local div = math.floor(dec/16)
	local mod = dec-(16*div)
	if div >= 1 then return decToHexDigit(div)..dig[mod+1] else return dig[mod+1] end
end -- I think this is supposed to be done with a tail call but first I want something that works at all
---- finds all the decimal numbers in the input text and hexes each of them
function p.decToHex(frame)
	local args=frame.args
	local parent=frame.getParent(frame)
	local pargs={}
	if parent then pargs=parent.args end
	local text=args[1] or pargs[1] or ""
	local minlength=args.minlength or pargs.minlength or 1
	minlength=tonumber(minlength)
	local prowl=mw.ustring.gmatch(text,"(.-)(%d+)")
	local output=""
	repeat
		local chaff,dec=prowl()
		if not(dec) then break end
		local hex=decToHexDigit(dec)
		while (mw.ustring.len(hex)<minlength) do hex="0"..hex end
		output=output..chaff..hex
	until false
	local chaff=mw.ustring.match(text,"(%D+)$") or ""
	return output..chaff
end

function p.numeral_to_kashmiri(frame)
	local num = frame.args[1]
	num = num:gsub("^%s*(.-)%s*$", "%1")   -- Trim whitespace
	num = num:gsub(",", "")   -- Remove commas
	num = num:gsub("^<span[^<>]*></span>", "")
	num = tonumber(num)
	if frame.args["ord"] then
		return numbers[num]['ordinal'][1] or numbers[num]['ordinal']
	else
		return numbers[num]['cardinal'][1] or numbers[num]['cardinal']
	end
end

-- Converts a given integer (in string form) between 0 and 1000 to kashmiri text (e.g. 47 -> forty-seven)
local function numeral_to_kashmiri_less_1000(num, use_and, ordinal, plural, zero)
	num = tonumber(num)
	if num < 100 then
		return numeral_to_kashmiri(num, ordinal, plural, zero)
	elseif num % 100 == 0 then
		return ones_position[num/100] .. ' hath' .. standard_suffix(ordinal, plural)
	else
		return ones_position[math.floor(num/100)] .. ' hath ' .. (use_and and 'and ' or '') .. numeral_to_kashmiri(num % 100, ordinal, plural, zero)
	end
end

return p