Total circles area: Difference between revisions
Added Algol 68
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<pre>
Approximated area: 21.561559772
</pre>
=={{header|ALGOL 68}}==
{{Trans|Nim|which is a translation of Python}}
<syntaxhighlight lang="algol68">
BEGIN # caclulate an approximation to the total of some overlapping circles #
# translated from the Nim sample #
MODE CIRCLE = STRUCT( REAL x, y, r );
[]CIRCLE 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 )
);
OP SQR = ( REAL x )REAL: x * x;
PRIO MIN = 5;
OP MIN = ( []CIRCLE rc, PROC(CIRCLE)REAL f )REAL:
IF LWB rc > UPB rc
THEN 0
ELSE REAL result := f( rc[ LWB rc ] );
FOR c pos FROM LWB rc + 1 TO UPB rc DO
REAL v = f( rc[ c pos ] );
IF v < result THEN result := v FI
OD;
result
FI # MIN # ;
PRIO MAX = 5;
OP MAX = ( []CIRCLE rc, PROC(CIRCLE)REAL f )REAL:
IF LWB rc > UPB rc
THEN 0
ELSE REAL result := f( rc[ LWB rc ] );
FOR c pos FROM LWB rc + 1 TO UPB rc DO
REAL v = f( rc[ c pos ] );
IF v > result THEN result := v FI
OD;
result
FI # MAX # ;
REAL x min = circles MIN ( ( CIRCLE it )REAL: x OF it - r OF it );
REAL x max = circles MAX ( ( CIRCLE it )REAL: x OF it + r OF it );
REAL y min = circles MIN ( ( CIRCLE it )REAL: y OF it - r OF it );
REAL y max = circles MAX ( ( CIRCLE it )REAL: y OF it + r OF it );
INT box side = 500;
REAL dx = ( x max - x min ) / box side;
REAL dy = ( y max - y min ) / box side;
INT count := 0;
FOR r FROM 0 TO box side - 1 DO
REAL y = y min + ( r * dy );
FOR c FROM 0 TO box side - 1 DO
REAL x = x min + ( c * dx );
BOOL xy in circle := FALSE;
FOR c pos FROM LWB circles TO UPB circles WHILE NOT xy in circle DO
CIRCLE curr circle = circles[ c pos ];
IF SQR ( x - x OF curr circle ) + SQR ( y - y OF curr circle ) <= SQR r OF curr circle THEN
count +:= 1;
xy in circle := TRUE
FI
OD
OD
OD;
print( ( "Approximated area: ", fixed( count * dx * dy, -16, 14 ), newline ) )
END
</syntaxhighlight>
{{out}}
<pre>
Approximated area: 21.5615597720033
</pre>
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