| -- The Computer Language Shootout |
| -- http://shootout.alioth.debian.org/ |
| -- contributed by Mike Pall |
| |
| local n = tonumber(arg[1]) |
| local function pr(fmt, x) io.write(string.format(fmt, x)) end |
| |
| local a1, a2, a3, a4, a5, a6, a7, a8, a9, alt = 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 |
| local sqrt, sin, cos = math.sqrt, math.sin, math.cos |
| for k=1,n do |
| local k2, sk, ck = k*k, sin(k), cos(k) |
| local k3 = k2*k |
| a1 = a1 + (2/3)^k |
| a2 = a2 + 1/sqrt(k) |
| a3 = a3 + 1/(k2+k) |
| a4 = a4 + 1/(k3*sk*sk) |
| a5 = a5 + 1/(k3*ck*ck) |
| a6 = a6 + 1/k |
| a7 = a7 + 1/k2 |
| a8 = a8 + alt/k |
| a9 = a9 + alt/(k+k-1) |
| alt = -alt |
| end |
| pr("%.9f\t(2/3)^k\n", a1) |
| pr("%.9f\tk^-0.5\n", a2) |
| pr("%.9f\t1/k(k+1)\n", a3) |
| pr("%.9f\tFlint Hills\n", a4) |
| pr("%.9f\tCookson Hills\n", a5) |
| pr("%.9f\tHarmonic\n", a6) |
| pr("%.9f\tRiemann Zeta\n", a7) |
| pr("%.9f\tAlternating Harmonic\n", a8) |
| pr("%.9f\tGregory\n", a9) |
| |
