Fixes to random variables
After reading some works and reviewing what I had, I've done some corrections to how the randomb velicities in Maxwellian distributions are calculated. These should be correct now.
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2 changed files with 12 additions and 11 deletions
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@ -47,22 +47,23 @@ MODULE moduleRandom
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END FUNCTION randomIntAB
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!Returns a random number in a Maxwellian distribution of mean 0 and width 1
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!Returns a random number in a Maxwellian distribution of mean 0 and width 1 with the Box-Muller Method
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FUNCTION randomMaxwellian() RESULT(rnd)
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USE moduleConstParam, ONLY: PI
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IMPLICIT NONE
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REAL(8):: rnd
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REAL(8):: x, y
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REAL(8):: v1, v2, Rsquare
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rnd = 0.D0
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x = 0.D0
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DO WHILE (x == 0.D0)
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CALL RANDOM_NUMBER(x)
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END DO
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CALL RANDOM_NUMBER(y)
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Rsquare = 1.D0
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do while (Rsquare >= 1.D0 .and. Rsquare > 0.D0)
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v1 = 2.D0 * random() - 1.D0
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v2 = 2.D0 * random() - 1.D0
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Rsquare = v1**2 + v2**2
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rnd = DSQRT(-2.D0*DLOG(x))*DCOS(2.D0*PI*y)
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end do
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rnd = v2 * sqrt(-2.D0 * log(Rsquare) / Rsquare)
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END FUNCTION randomMaxwellian
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