# Drift graph simulation testing
simVals <- seq(-5,5, length.out=200)
x <- dnorm(simVals, 0, 1)
y <- dnorm(simVals, 0, 1)
singleSim <- data.frame(x=simVals, val=x/sum(x))
singleSim %>% filter(abs(x)<2) %>% .$val %>% sum()
doubleSim <- data.frame(x=rep(simVals, length(y)),
y=rep(simVals, each=length(x))) %>%
mutate(val=dnorm(x)*dnorm(y), val=val/sum(val),
dist=sqrt(x^2+y^2)) %>% arrange(dist) %>%
mutate(CumVal=cumsum(val),
CI = cut(CumVal, breaks=c(0,.9,.95,.99,1), include.lowest = TRUE),
DistBins = cut(dist, breaks=seq(0, max(.$dist), .1), include.lowest =TRUE))
binnedSims <- doubleSim %>% group_by(DistBins) %>% summarise(val = sum(val)) %>%
mutate(CumVal = cumsum(val), CI = cut(CumVal, breaks=c(0,.9,.95,.99,1), include.lowest = TRUE),
dist = .1*as.numeric(DistBins))
maxCI <- binnedSims %>% group_by(CI) %>% summarise(Max=max(dist))
ggplot(binnedSims, aes(x=dist, y=val, fill=CI)) +
geom_col(alpha=.5, position=position_nudge(x=-(.1/2))) +
geom_vline(data=maxCI[1:3,], aes(xintercept=Max)) +
scale_x_continuous(breaks=maxCI$Max)
doubleSim %>% filter((x^2+y^2)<(2.4^2)) %>% .$val %>% sum()
library(ggplot2)
ggplot(doubleSim, aes(x=x, y=y, fill=val)) + geom_tile() +
scale_fill_gradientn(colors=viridis(256))
library(plotly)
plot_ly(z=matrix(arrange(doubleSim, x, y)$val, length(x), length(x))) %>% add_surface()
# Real comparison to sim
myLike <- testit(testDat, start, realRate, realBearing, plot=TRUE, like=TRUE, debug=FALSE, numInit = 12, numGrid=50,
angleError=20, angleBias=, modelSd=7)$Like
myLike <- myLike %>% arrange(Distance) %>%
mutate(CumVal = cumsum(ExpValue), CI = cut(CumVal, breaks=c(0,.9,.95,.99,1), include.lowest=TRUE))
binnedLike <- myLike %>% group_by(DistBreaks) %>% summarise(Value = sum(ExpValue)) %>%
mutate(Distance=as.numeric(DistBreaks)*.05, CumVal=cumsum(Value),
CI = cut(CumVal, breaks=c(0,.9,.95,.99,1), include.lowest=TRUE),
ScaledValue = Value/(2*as.numeric(DistBreaks)-1))
ggplot(binnedLike, aes(x=Distance, y=Value, fill=CI)) +
geom_col() + xlim(0,1)
ggplot(myLike, aes(x=Angle, y=Rate, fill=ExpValue)) + geom_tile() +
scale_fill_gradientn(colors=viridis(256))
plot_ly(z=matrix(arrange(myLike, Rate, Angle)$ExpValue, 50, 50)) %>% add_surface()
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