Arithmetic/Complex: Difference between revisions
Content added Content deleted
(added factor example) |
|||
| Line 983: | Line 983: | ||
return Math.sqrt( Math.pow(this.r,2) , Math.pow(this.i,2) ) |
return Math.sqrt( Math.pow(this.r,2) , Math.pow(this.i,2) ) |
||
}</lang> |
}</lang> |
||
=={{header|Lua}}== |
|||
--defines addition, subtraction, negation, multiplication, division, conjugation, norms, and a conversion to strings. |
|||
complex = setmetatable({ |
|||
__add = function(u, v) return complex(u.real + v.real, u.imag + v.imag) end, |
|||
__sub = function(u, v) return complex(u.real - v.real, u.imag - v.imag) end, |
|||
__mul = function(u, v) return complex(u.real * v.real - u.imag * v.imag, u.real * v.imag + u.imag * v.real) end, |
|||
__div = function(u, v) return u * complex(v.real / v.norm, -v.imag / v.norm) end, |
|||
__unm = function(u) return complex(-u.real, -u.imag) end, |
|||
__index = function(u, index) |
|||
local operations = { |
|||
norm = function(u) return u.real ^ 2 + u.imag ^ 2 end, |
|||
conj = function(u) return complex(u.real, -u.imag) end, |
|||
string = function(u) return u.real .. " + " .. u.imag .. "i" end |
|||
} |
|||
return operations[index] and operations[index](u) |
|||
end, |
|||
__newindex = function() error() end |
|||
}, { |
|||
__call = function(realpart, imagpart) return setmetatable({real = realpart, imag = imagpart}, complex) end |
|||
} ) |
|||
local i, j = complex(2, 3), complex(1, 1) |
|||
print(i.string .. " + " .. j.string .. " = " .. (i+j).string) |
|||
print(i.string .. " - " .. j.string .. " = " .. (i-j).string) |
|||
print(i.string .. " * " .. j.string .. " = " .. (i*j).string) |
|||
print(i.string .. " / " .. j.string .. " = " .. (i/j).string) |
|||
print("|" .. i.string .. "| = " .. math.sqrt(i.norm)) |
|||
print(i.string .. "* = " .. i.conj.string) |
|||
=={{header|Maple}}== |
=={{header|Maple}}== |
||