#!/usr/bin/R BATCH

# Use R ("GNU S") interpreter to produce graphs
# http://www.r-project.org/

# inicialization: create vector 'z' from experimental data
z <- c(0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 8, 6, 9, 1, 5, 17, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 5, 1, 5, 6, 4, 4, 5, 2, 4, 2, 7, 6, 2, 5, 2, 4, 3, 2, 6, 0, 2, 1, 0, 6, 5, 2, 0, 2, 0, 3, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 1, 2, 3, 4, 4, 2, 2, 2, 4, 4, 6, 6, 8, 0, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 3, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 2, 3, 2, 2, 5, 10, 2, 3, 4, 5, 6, 3, 6, 2, 3, 0, 3, 0, 1, 4, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 3, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 3, 3, 5, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, )
cat("Number of points:", length(z), "\n")

mat <- matrix(z, nrow=152,ncol=205, byrow="T")

x <- rep(4:155, length.out=dim(mat)[1])
y <- rep(4:208, length.out=dim(mat)[2])

cat("Plotting histogram3D-notfitted.eps\n")
postscript(file = "histogram3D-notfitted.eps", horizontal = FALSE, onefile = FALSE)
persp(mat, xlab="napatie U[V]", ylab="prud I[A]", zlab="pocetnost", theta=-55, phi=20, d=0.8)
dev.off()


# Fitting & smoothing
for (k in 1:5) {
	cat("Processing", k, "\n")
	# fitting over y-z plane
	for (i in 1:length(x)) {
		for (j in 1:(length(y) - 2)) {
			if (mat[i,j+1] <= mat[i,j]) {
				if (mat[i,j+1] <= mat[i,j+2]) {
					mat[i,j+1] <- (mat[i,j] + mat[i,j+2] )/2
				}
			}
		}
	}

	# fitting over x-z plane
	for (j in 1:length(y)) {
		for (i in 1:(length(x) - 2)) {
			if (mat[i+1,j] <= mat[i,j]) {
				if (mat[i+1,j] <= mat[i+2,j]) {
					mat[i+1,j] <- (mat[i,j] + mat[i+2,j] )/2
				}
			}
		}
	}
}
for (i in 1:length(x)) {
	for (j in 1:(length(y) - 2)) {
				mat[i,j+1] <- (mat[i,j] + mat[i,j+2] )/2
	}
}
for (j in 1:length(y)) {
	for (i in 1:(length(x) - 2)) {
				mat[i+1,j] <- (mat[i,j] + mat[i+2,j] )/2
	}
}

# matrix is fitted, create graph...
cat("Plotting histogram3D.eps\n")
postscript(file = "histogram3D.eps", horizontal = FALSE, onefile = FALSE)
persp(mat, xlab="napatie U[V]", ylab="prud I[A]", zlab="pocetnost", theta=-55, phi=20, d=0.8)
dev.off()

#X11()
#persp(mat, xlab="napatie U[V]", ylab="prud I[A]", zlab="pocetnost", theta=-55, phi=20, d=0.8)


# create new matrix with smallest range
new <- matrix(NA, nrow=150, ncol=200)
for (i in seq(1, 150, by=1)) {  for (j in seq(1, 200, by=1 )) { new[i,j] <-  mat[i,j] }}

# 1/2 resolution
cat("Plotting histogram3D-2.eps\n")
small <- matrix(NA, nrow=75, ncol=100)
for (i in seq(1, 75, by=1)) {  for (j in seq(1, 100, by=1 )) { small[i,j] <-  new[2*i,2*j] }}
postscript(file = "histogram3D-2.eps", horizontal = FALSE, onefile = FALSE)
persp(small, xlab="napatie U[V]", ylab="prud I[A]", zlab="pocetnost", theta=-55, phi=20, d=0.8)
dev.off()
rm(small)

# 1/3 resolution
cat("Plotting histogram3D-3.eps\n")
small <- matrix(NA, nrow=50, ncol=66)
for (i in seq(1, 50, by=1)) {  for (j in seq(1, 66, by=1 )) { small[i,j] <-  new[3*i,3*j] }}
postscript(file = "histogram3D-3.eps", horizontal = FALSE, onefile = FALSE)
persp(small, xlab="napatie U[V]", ylab="prud I[A]", zlab="pocetnost", theta=-55, phi=20, d=0.8)
dev.off()
rm(small)

# 1/4 resolution
cat("Plotting histogram3D-4.eps\n")
small <- matrix(NA, nrow=37, ncol=50)
for (i in seq(1, 37, by=1)) {  for (j in seq(1, 50, by=1 )) { small[i,j] <-  new[4*i,4*j] }}
postscript(file = "histogram3D-4.eps", horizontal = FALSE, onefile = FALSE)
persp(small, xlab="napatie U[V]", ylab="prud I[A]", zlab="pocetnost", theta=-55, phi=20, d=0.8)
dev.off()
rm(small)

# 1/5 resolution
cat("Plotting histogram3D-5.eps\n")
small <- matrix(NA, nrow=30, ncol=40)
for (i in seq(1, 30, by=1)) {  for (j in seq(1, 40, by=1 )) { small[i,j] <-  new[5*i,5*j] }}
postscript(file = "histogram3D-5.eps", horizontal = FALSE, onefile = FALSE)
persp(small, xlab="napatie U[V]", ylab="prud I[A]", zlab="pocetnost", theta=-55, phi=20, d=0.8)
dev.off()
rm(small)

# contoured picture at display
xtmp <- rep(4:155, length.out=152)
ytmp <- rep(4:155, length.out=152)
for (i in 1:152) { xtmp[i] <- 67.1 * i /256}
for (i in 1:152) { ytmp[i] <- 529 * i /256}

haluz <- matrix(NA, nrow=152, ncol=152)
for (i in 1:152) {
	for (j in 1:152) {
		haluz[i,j] <- mat[i,j]
	}
}

# contoured picture in EPS grafic
cat("Plotting histogram-contour.eps\n")
postscript(file = "histogram-contour.eps", horizontal = FALSE, onefile = FALSE)
contour(xtmp,ytmp,haluz)
title(xlab="napatie U[V]", ylab="prud I[A]", font=3)
dev.off()