RosettaCodeData/Task/Total-circles-area/Phix/total-circles-area.phix
2019-09-12 10:33:56 -07:00

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constant circles = {{ 1.6417233788, 1.6121789534, 0.0848270516},
{-1.4944608174, 1.2077959613, 1.1039549836},
{ 0.6110294452, -0.6907087527, 0.9089162485},
{ 0.3844862411, 0.2923344616, 0.2375743054},
{-0.2495892950, -0.3832854473, 1.0845181219},
{ 1.7813504266, 1.6178237031, 0.8162655711},
{-0.1985249206, -0.8343333301, 0.0538864941},
{-1.7011985145, -0.1263820964, 0.4776976918},
{-0.4319462812, 1.4104420482, 0.7886291537},
{ 0.2178372997, -0.9499557344, 0.0357871187},
{-0.6294854565, -1.3078893852, 0.7653357688},
{ 1.7952608455, 0.6281269104, 0.2727652452},
{ 1.4168575317, 1.0683357171, 1.1016025378},
{ 1.4637371396, 0.9463877418, 1.1846214562},
{-0.5263668798, 1.7315156631, 1.4428514068},
{-1.2197352481, 0.9144146579, 1.0727263474},
{-0.1389358881, 0.1092805780, 0.7350208828},
{ 1.5293954595, 0.0030278255, 1.2472867347},
{-0.5258728625, 1.3782633069, 1.3495508831},
{-0.1403562064, 0.2437382535, 1.3804956588},
{ 0.8055826339, -0.0482092025, 0.3327165165},
{-0.6311979224, 0.7184578971, 0.2491045282},
{ 1.4685857879, -0.8347049536, 1.3670667538},
{-0.6855727502, 1.6465021616, 1.0593087096},
{ 0.0152957411, 0.0638919221, 0.9771215985}},
{x,y,r} = columnize(circles),
r2 = sq_power(r,2)
atom xMin = min(sq_sub(x,r)),
xMax = max(sq_add(x,r)),
yMin = min(sq_sub(y,r)),
yMax = max(sq_add(y,r)),
boxSide = 500,
dx = (xMax - xMin) / boxSide,
dy = (yMax - yMin) / boxSide,
count = 0
sequence cxs = {}
for s=1 to boxSide do
atom py = yMin + s * dy
sequence cy = sq_power(sq_sub(py,y),2)
for c=1 to boxSide do
if s=1 then
atom px = xMin + c * dx
cxs = append(cxs,sq_power(sq_sub(px,x),2))
end if
sequence cx = cxs[c]
for i=1 to length(circles) do
if cx[i]+cy[i]<=r2[i] then count+=1 exit end if
end for
end for
end for
printf(1,"Approximate area = %.9f\n",{count * dx * dy})