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Breakout sessions

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function solve(f, x)

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local steps, range = 30, 3

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for i=0, steps do

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y = f(-6+range*i/steps)

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if y>x then

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return -6+range*(i-1)/steps -

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(y - x ) /

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((y - f(-6+range*(i-1)/steps))*steps)

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end

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end

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end

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-- create plot area

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if p==nil then

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p = graph.plot('Simulation of the effect of random errors in RT')

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p:show()

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end

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sigma_penumbra = 0.64

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sigma_random = 0.00

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dose_presc = 0.83

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sigma_total = math.sqrt(sigma_penumbra*sigma_penumbra + sigma_random*sigma_random)

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f0 = |v| num.integ(|t|randist.gaussian_pdf(t, sigma_penumbra), v-5, v+5)

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f = |v| num.integ(|t|randist.gaussian_pdf(t, sigma_total ), v-5, v+5)

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print('margin (cm) =', solve(f, dose_presc)-solve(f0, dose_presc))

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require('mobdebug').off()

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local ln2 = graph.fxline(f, -8, 8, 100)

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--p:clear()

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p:addline(ln2, 'blue')

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p:addline(graph.fxline(|v|dose_presc, -10, 10), 'red')

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require('mobdebug').on()