模組:Complex Number/Example

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  这是一个示例，而非测试页面。请勿任意编辑其中内容。

本模組為Module:Complex Number系列函數庫的範例。

範例內容為元素僅有0、1、2、3、4、5、6、7、8、9的数域。

$\times$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $1$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $2$ $0$ $2$ $4$ $6$ $8$ $0$ $2$ $4$ $6$ $8$ $3$ $0$ $3$ $6$ $9$ $2$ $5$ $8$ $1$ $4$ $7$ $4$ $0$ $4$ $8$ $2$ $6$ $0$ $4$ $8$ $2$ $6$ $5$ $0$ $5$ $0$ $5$ $0$ $5$ $0$ $5$ $0$ $5$ $6$ $0$ $6$ $2$ $8$ $4$ $0$ $6$ $2$ $8$ $4$ $7$ $0$ $7$ $4$ $1$ $8$ $5$ $2$ $9$ $6$ $3$ $8$ $0$ $8$ $6$ $4$ $2$ $0$ $8$ $6$ $4$ $2$ $9$ $0$ $9$ $8$ $7$ $6$ $5$ $4$ $3$ $2$ $1$	$+$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $1$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $2$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $1$ $3$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $1$ $2$ $4$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $1$ $2$ $3$ $5$ $5$ $6$ $7$ $8$ $9$ $0$ $1$ $2$ $3$ $4$ $6$ $6$ $7$ $8$ $9$ $0$ $1$ $2$ $3$ $4$ $5$ $7$ $7$ $8$ $9$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $8$ $8$ $9$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $9$ $9$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$	$-$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $0$ $9$ $8$ $7$ $6$ $5$ $4$ $3$ $2$ $1$ $1$ $1$ $0$ $9$ $8$ $7$ $6$ $5$ $4$ $3$ $2$ $2$ $2$ $1$ $0$ $9$ $8$ $7$ $6$ $5$ $4$ $3$ $3$ $3$ $2$ $1$ $0$ $9$ $8$ $7$ $6$ $5$ $4$ $4$ $4$ $3$ $2$ $1$ $0$ $9$ $8$ $7$ $6$ $5$ $5$ $5$ $4$ $3$ $2$ $1$ $0$ $9$ $8$ $7$ $6$ $6$ $6$ $5$ $4$ $3$ $2$ $1$ $0$ $9$ $8$ $7$ $7$ $7$ $6$ $5$ $4$ $3$ $2$ $1$ $0$ $9$ $8$ $8$ $8$ $7$ $6$ $5$ $4$ $3$ $2$ $1$ $0$ $9$ $9$ $9$ $8$ $7$ $6$ $5$ $4$ $3$ $2$ $1$ $0$
$/$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $1$ $1$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $2$ $2$ $1$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $3$ $3$ $1$ $1$ $0$ $0$ $0$ $0$ $0$ $0$ $4$ $4$ $2$ $1$ $1$ $0$ $0$ $0$ $0$ $0$ $5$ $5$ $2$ $1$ $1$ $1$ $0$ $0$ $0$ $0$ $6$ $6$ $3$ $2$ $1$ $1$ $1$ $0$ $0$ $0$ $7$ $7$ $3$ $2$ $1$ $1$ $1$ $1$ $0$ $0$ $8$ $8$ $4$ $2$ $2$ $1$ $1$ $1$ $1$ $0$ $9$ $9$ $4$ $3$ $2$ $1$ $1$ $1$ $1$ $1$	$mod$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $1$ $0$ $1$ $1$ $1$ $1$ $1$ $1$ $1$ $1$ $2$ $0$ $0$ $2$ $2$ $2$ $2$ $2$ $2$ $2$ $3$ $0$ $1$ $0$ $3$ $3$ $3$ $3$ $3$ $3$ $4$ $0$ $0$ $1$ $0$ $4$ $4$ $4$ $4$ $4$ $5$ $0$ $1$ $2$ $1$ $0$ $5$ $5$ $5$ $5$ $6$ $0$ $0$ $0$ $2$ $1$ $0$ $6$ $6$ $6$ $7$ $0$ $1$ $1$ $3$ $2$ $1$ $0$ $7$ $7$ $8$ $0$ $0$ $2$ $0$ $3$ $2$ $1$ $0$ $8$ $9$ $0$ $1$ $0$ $1$ $4$ $3$ $2$ $1$ $0$	$x^{y}$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $0$ $1$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $1$ $1$ $1$ $1$ $1$ $1$ $1$ $1$ $1$ $1$ $1$ $2$ $1$ $2$ $4$ $8$ $6$ $2$ $4$ $8$ $6$ $2$ $3$ $1$ $3$ $9$ $7$ $1$ $3$ $9$ $7$ $1$ $3$ $4$ $1$ $4$ $6$ $4$ $6$ $4$ $6$ $4$ $6$ $4$ $5$ $1$ $5$ $5$ $5$ $5$ $5$ $5$ $5$ $5$ $5$ $6$ $1$ $6$ $6$ $6$ $6$ $6$ $6$ $6$ $6$ $6$ $7$ $1$ $7$ $9$ $3$ $1$ $7$ $9$ $3$ $1$ $7$ $8$ $1$ $8$ $4$ $2$ $6$ $8$ $4$ $2$ $6$ $8$ $9$ $1$ $9$ $1$ $9$ $1$ $9$ $1$ $9$ $1$ $9$

local p={}
local comp_lib = require("Module:Complex_Number")
p.example={
	abs=function(z)
		local a = p.example.toExample(z)
		return math.abs(a.value)
	end,
	div=function(op1, op2)
		return op1 / op2
	end,
	inverse=function(op1)
		return 1 / op1
	end,
	sqrt=function(z)
		local a = p.example.toExample(z)
		return p.example.getExample(math.sqrt(a.value))
	end,
	dot = function (op1, op2) 
		local a, b = p.example.toExample(op1), p.example.toExample(op2)
		return a.value * b.value
	end,
	exp=function(z)
		local a = p.example.toExample(z)
		return p.example.getExample(math.exp(a.value))
	end,
	elog=function(z)
		local a = p.example.toExample(z)
		return p.example.getExample(math.log(a.value))
	end,
	log=function(z, basez)
		local a = p.example.toExample(z)
		local bz = p.example.toExample(basez)
		local value = a.value
		if basez~=nil then 
			value = math.log(bz.value) / math.log(a.value)
		else
			value = math.log(a.value)
		end
		return p.example.getExample(value)
	end,
	pow=function(op1,op2)
		local a, b = p.example.toExample(op1), p.example.toExample(op2)
		local pow_val = math.pow(a.value, b.value) + math.abs(a.value * b.value) * p.example._mod_val
		return p.example.getExample(pow_val)
	end,
	_mod_val=10,
	ExampleMeta = {
		__add = function (op1, op2) 
			local a, b = p.example.toExample(op1), p.example.toExample(op2)
			local sub_val = a.value + b.value + math.abs(a.value * b.value) * p.example._mod_val
			return p.example.getExample(sub_val)
		end,
		__sub = function (op1, op2) 
			local a, b = p.example.toExample(op1), p.example.toExample(op2)
			local sub_val = a.value - b.value + math.abs(a.value * b.value) * p.example._mod_val
			return p.example.getExample(sub_val)
		end,
		__mul = function (op1, op2) 
			local a, b = p.example.toExample(op1), p.example.toExample(op2)
			return p.example.getExample(a.value * b.value)
		end,
		__div = function (op1, op2) 
			local a, b = p.example.toExample(op1), p.example.toExample(op2)
			local div_val = math.floor(a.value / b.value)
			return p.example.getExample(div_val)
		end,
		__mod = function (op1, op2) 
			local a, b = p.example.toExample(op1), p.example.toExample(op2)
			local mod_val = a.value % b.value
			return p.example.getExample(mod_val)
		end,
		__unm = function (this)
			local a = p.example.toExample(this)
			local unm_val = -this.value + math.abs(this.value * this.value) * p.example._mod_val
			return p.example.getExample(unm_val)
		end,
		__eq = function (op1, op2)
			local a, b = p.example.toExample(op1), p.example.toExample(op2)
			return a.value == b.value
		end,
		__tostring = function (this)
			return tostring(this.value)
		end,
	},
	getExample = function(_value)
		local value = math.floor(_value % p.example._mod_val)
		local Example = {}
		setmetatable(Example,p.example.ExampleMeta) 
		function Example:update()end
		function Example:clean()return self end
		Example.value = value
		Example.numberType = "example"
		return Example
	end,
	toExample = function(_input)
		local input_value = tonumber(tostring(_input))
		if input_value==nil then return nil end
		local value = input_value % p.example._mod_val
		return p.example.getExample(value)
	end,
	init = function()
		p.example[0] = p.example.getExample(0)
		p.example[1] = p.example.getExample(1)
		p.example[-1] = -p.example.getExample(1)
		p.example.zero,p.example.one = p.example[0],p.example[1]
		p.example.numberType = comp_lib._numberType
		p.example.constructor = p.example.toExample
		p.example.elements = {1}
		return p.example
	end,
}
return p