|
|
@ -11,6 +11,7 @@
|
|
|
|
# >>>> muxd2mtx
|
|
|
|
# >>>> muxd2mtx
|
|
|
|
# >>>> muxd2ls
|
|
|
|
# >>>> muxd2ls
|
|
|
|
# - REPAIR SHOP
|
|
|
|
# - REPAIR SHOP
|
|
|
|
|
|
|
|
# - EliminateKa2
|
|
|
|
# - print.xtable.booktabs
|
|
|
|
# - print.xtable.booktabs
|
|
|
|
# - split.muxd
|
|
|
|
# - split.muxd
|
|
|
|
# - strip.ka2
|
|
|
|
# - strip.ka2
|
|
|
@ -22,43 +23,6 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
##################################################
|
|
|
|
|
|
|
|
################ EliminateKa2 ####################
|
|
|
|
|
|
|
|
##################################################
|
|
|
|
|
|
|
|
EliminateKa2 <- function(xrdata) {
|
|
|
|
|
|
|
|
##### STILL UNDER CONSTRUCTION ####
|
|
|
|
|
|
|
|
##### STILL UNDER CONSTRUCTION ####
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# The following lever arm weights are from Dong1999a
|
|
|
|
|
|
|
|
weights <- list()
|
|
|
|
|
|
|
|
# Three-bar weights
|
|
|
|
|
|
|
|
weights[[1]] <- c(0.005134296, 0.491686047, 0.003179657)
|
|
|
|
|
|
|
|
# Five-bar weights
|
|
|
|
|
|
|
|
weights[[2]] <- c(0.002614410, 0.011928014, 0.480406967, 0.002121807, 0.002928802)
|
|
|
|
|
|
|
|
# Seven-bar weights
|
|
|
|
|
|
|
|
weights[[3]] <- c(0.001580069, 0.003463773, 0.015533472, 0.422601977, 0.053632977,
|
|
|
|
|
|
|
|
0.001572467, 0.001615265)
|
|
|
|
|
|
|
|
# Nine-bar weights
|
|
|
|
|
|
|
|
weights[[4]] <- c(0.001138001, 0.00195272, 0.004324464, 0.019246541, 0.394175823,
|
|
|
|
|
|
|
|
0.079159001, -0.003591547, 0.002505604, 0.001089392)
|
|
|
|
|
|
|
|
# 15-bar weights
|
|
|
|
|
|
|
|
weights[[5]] <- c(0.000614225, 0.000810836, 0.001134775, 0.001723265, 0.002968405,
|
|
|
|
|
|
|
|
0.006433676, 0.02575384, 0.345872599, 0.100578092, 0.014493969,
|
|
|
|
|
|
|
|
-0.004176171, 0.000678688, 0.001610333, 0.000918077, 0.000585391)
|
|
|
|
|
|
|
|
# 25-bar weights
|
|
|
|
|
|
|
|
weights[[6]] <- c(0.000349669, 0.000408044, 0.000484578, 0.000587457, 0.000730087,
|
|
|
|
|
|
|
|
0.000935685, 0.001247401, 0.001753233, 0.002657209, 0.004531817,
|
|
|
|
|
|
|
|
0.009591103, 0.034998436, 0.2876498, 0.074964321, 0.065000871,
|
|
|
|
|
|
|
|
0.016762729, -0.00306221, -0.002717412, -0.000902322, 0.000915701,
|
|
|
|
|
|
|
|
0.001036484, 0.000808199, 0.000539899, 0.000398896, 0.000330325)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
##### STILL UNDER CONSTRUCTION ####
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
##################################################
|
|
|
|
##################################################
|
|
|
|
################## matchpdf ######################
|
|
|
|
################## matchpdf ######################
|
|
|
|
##################################################
|
|
|
|
##################################################
|
|
|
@ -321,8 +285,21 @@ uxd2df <- function(uxdfile) {
|
|
|
|
ends <- length(mh)
|
|
|
|
ends <- length(mh)
|
|
|
|
f <- f[starts:ends]
|
|
|
|
f <- f[starts:ends]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rgxp.sampleid <- "[^/]*(?=\\.\\w*)" ## THIS REQUIRES perl=TRUE
|
|
|
|
|
|
|
|
# Regular expression that extracts the filename out of a full path.
|
|
|
|
|
|
|
|
# Matches and extracts everything from the last forward slash (assuming Unix slashes)
|
|
|
|
|
|
|
|
# up until a dot folllowed by an arbitrary number of alphanumeric characters.
|
|
|
|
|
|
|
|
sampleidmtch <- regexpr(rgxp.sampleid, uxdfile, perl=TRUE)
|
|
|
|
|
|
|
|
# Check that there was a match
|
|
|
|
|
|
|
|
if (sampleidmtch < 0) {
|
|
|
|
|
|
|
|
# -1 means no match
|
|
|
|
|
|
|
|
sampleid <- uxdfile
|
|
|
|
|
|
|
|
# If match was unsuccessful we use the argument as passed to this function as sampleid
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
sampleid <- substr(uxdfile, sampleidmtch, (sampleidmtch + attr(sampleidmtch, "match.length") - 1))
|
|
|
|
|
|
|
|
|
|
|
|
zz <- textConnection(f, "r")
|
|
|
|
zz <- textConnection(f, "r")
|
|
|
|
ff <- data.frame(uxdfile, matrix(scan(zz,
|
|
|
|
ff <- data.frame(sampleid, matrix(scan(zz,
|
|
|
|
what = numeric()), ncol=2, byrow=T))
|
|
|
|
what = numeric()), ncol=2, byrow=T))
|
|
|
|
names(ff) <- c("sampleid", "angle", "intensity")
|
|
|
|
names(ff) <- c("sampleid", "angle", "intensity")
|
|
|
|
close(zz)
|
|
|
|
close(zz)
|
|
|
@ -507,6 +484,226 @@ muxd2ls <- function(uxdfile) {
|
|
|
|
# -------- ##################### -------- #
|
|
|
|
# -------- ##################### -------- #
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
##################################################
|
|
|
|
|
|
|
|
################ EliminateKa2 ####################
|
|
|
|
|
|
|
|
##################################################
|
|
|
|
|
|
|
|
EliminateKa2 <- function(thth, intensity, lever = 2) {
|
|
|
|
|
|
|
|
# Args: 2theta vector, numeric
|
|
|
|
|
|
|
|
# intensity vector, numeric
|
|
|
|
|
|
|
|
# parameter pairs, numeric between 1 and 6, default 2
|
|
|
|
|
|
|
|
# "High-quality a2-free patterns can be obtained in most cases
|
|
|
|
|
|
|
|
# using five (5) or seven (7) pairs of parameters."
|
|
|
|
|
|
|
|
# "When the step-width is less than 0.01 degrees and the
|
|
|
|
|
|
|
|
# 2theta angle is high, a large number of parameter pairs
|
|
|
|
|
|
|
|
# should be used to get accurate results." {Dong1999a}
|
|
|
|
|
|
|
|
### 1 2 3 4 5 6 - lever
|
|
|
|
|
|
|
|
### 3 5 7 9 15 25 - corresponding parameter pairs
|
|
|
|
|
|
|
|
#
|
|
|
|
|
|
|
|
##### THIS FUNCTION USES THESE OTHER FUNCTIONS #####
|
|
|
|
|
|
|
|
# REQUIRES: common.R :: as.radians() - converts degrees to radians
|
|
|
|
|
|
|
|
# REQUIRES: stats::approx - linear interpolation
|
|
|
|
|
|
|
|
####################################################
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# For test-purposes, use the following data
|
|
|
|
|
|
|
|
# /home/taha/chepec/laboratory/XRD/0103-instrumentbroadening/100917Th2ThLong-counts.UXD
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
##### STILL UNDER CONSTRUCTION ####
|
|
|
|
|
|
|
|
##### STILL UNDER CONSTRUCTION ####
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
startdatapoint <- 4
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Ka1a Ka1b Ka2a Ka2b
|
|
|
|
|
|
|
|
CuKa.data <- c(1.534753, 1.540596, 1.541058, 1.544410, 1.544721,
|
|
|
|
|
|
|
|
3.69, 0.44, 0.60, 0.52, 0.62,
|
|
|
|
|
|
|
|
1.60, 57.07, 7.64, 25.38, 8.31)
|
|
|
|
|
|
|
|
CuKa <- data.frame(matrix(CuKa.data, ncol=3, byrow=F))
|
|
|
|
|
|
|
|
names(CuKa) <- c("lambda", "w", "E")
|
|
|
|
|
|
|
|
row.names(CuKa) <- c("Satellites", "Ka1a", "Ka1b", "Ka2a", "Ka2b")
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# The following lever arm weights are from Dong1999a
|
|
|
|
|
|
|
|
weights <- list()
|
|
|
|
|
|
|
|
# Three-bar weights
|
|
|
|
|
|
|
|
weights[[1]] <- c(0.005134296, 0.491686047, 0.003179657)
|
|
|
|
|
|
|
|
# Five-bar weights
|
|
|
|
|
|
|
|
weights[[2]] <- c(0.002614410, 0.011928014, 0.480406967,
|
|
|
|
|
|
|
|
0.002121807, 0.002928802)
|
|
|
|
|
|
|
|
# Seven-bar weights
|
|
|
|
|
|
|
|
weights[[3]] <- c(0.001580069, 0.003463773, 0.015533472, 0.422601977,
|
|
|
|
|
|
|
|
0.053632977, 0.001572467, 0.001615265)
|
|
|
|
|
|
|
|
# Nine-bar weights
|
|
|
|
|
|
|
|
weights[[4]] <- c(0.001138001, 0.00195272, 0.004324464,
|
|
|
|
|
|
|
|
0.019246541, 0.394175823, 0.079159001,
|
|
|
|
|
|
|
|
-0.003591547, 0.002505604, 0.001089392)
|
|
|
|
|
|
|
|
# 15-bar weights
|
|
|
|
|
|
|
|
weights[[5]] <- c(0.000614225, 0.000810836, 0.001134775, 0.001723265, 0.002968405,
|
|
|
|
|
|
|
|
0.006433676, 0.02575384, 0.345872599, 0.100578092, 0.014493969,
|
|
|
|
|
|
|
|
-0.004176171, 0.000678688, 0.001610333, 0.000918077, 0.000585391)
|
|
|
|
|
|
|
|
# 25-bar weights
|
|
|
|
|
|
|
|
weights[[6]] <- c(0.000349669, 0.000408044, 0.000484578, 0.000587457, 0.000730087,
|
|
|
|
|
|
|
|
0.000935685, 0.001247401, 0.001753233, 0.002657209, 0.004531817,
|
|
|
|
|
|
|
|
0.009591103, 0.034998436, 0.2876498, 0.074964321, 0.065000871,
|
|
|
|
|
|
|
|
0.016762729, -0.00306221, -0.002717412, -0.000902322, 0.000915701,
|
|
|
|
|
|
|
|
0.001036484, 0.000808199, 0.000539899, 0.000398896, 0.000330325)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# The following lever arm lengths are from Dong1999a
|
|
|
|
|
|
|
|
lengths <- list()
|
|
|
|
|
|
|
|
# Three-bar lengths
|
|
|
|
|
|
|
|
lengths[[1]] <- c(0.998506815, 0.997503913, 0.996699460)
|
|
|
|
|
|
|
|
# Five-bar lengths
|
|
|
|
|
|
|
|
lengths[[2]] <- c(0.998471576, 0.997935524, 0.997503530,
|
|
|
|
|
|
|
|
0.997163494, 0.996606519)
|
|
|
|
|
|
|
|
# Seven-bar lengths
|
|
|
|
|
|
|
|
lengths[[3]] <- c(0.998563433, 0.998204025, 0.997825027, 0.997522195,
|
|
|
|
|
|
|
|
0.997297615, 0.996844235, 0.996516288)
|
|
|
|
|
|
|
|
# Nine-bar lengths
|
|
|
|
|
|
|
|
lengths[[4]] <- c(0.998609749, 0.998334027, 0.998054914,
|
|
|
|
|
|
|
|
0.99776062, 0.997527844, 0.997327154,
|
|
|
|
|
|
|
|
0.997028978, 0.996734639, 0.99646335)
|
|
|
|
|
|
|
|
# 15-bar lengths
|
|
|
|
|
|
|
|
lengths[[5]] <- c(0.998671599, 0.99850911, 0.998346447, 0.998183442, 0.998019704,
|
|
|
|
|
|
|
|
0.997854063, 0.997680649, 0.997533314, 0.997377391, 0.997266106,
|
|
|
|
|
|
|
|
0.997060614, 0.996888005, 0.996741151, 0.996583672, 0.996418168)
|
|
|
|
|
|
|
|
# 25-bar lengths
|
|
|
|
|
|
|
|
lengths[[6]] <- c(0.998706192, 0.998608958, 0.998511721, 0.998414475, 0.998317209,
|
|
|
|
|
|
|
|
0.998219906, 0.998122538, 0.998025057, 0.997927367, 0.997829244,
|
|
|
|
|
|
|
|
0.997730044, 0.997626987, 0.997535705, 0.997458223, 0.997346989,
|
|
|
|
|
|
|
|
0.997277763, 0.997161452, 0.997057942, 0.996982688, 0.99686108,
|
|
|
|
|
|
|
|
0.996769728, 0.996675255, 0.996578407, 0.996480641, 0.99638324)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
### --- Arguments check
|
|
|
|
|
|
|
|
# Check that "lever" argument is within bounds
|
|
|
|
|
|
|
|
if (lever > length(weights) || lever < 1) {
|
|
|
|
|
|
|
|
# if not, fall back to the default value
|
|
|
|
|
|
|
|
lever <- 2 # corresponds to 5 parameter pairs
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
### --- Arguments check
|
|
|
|
|
|
|
|
# Check that vectors are of the same length
|
|
|
|
|
|
|
|
if (!(length(thth) == length(intensity))) {
|
|
|
|
|
|
|
|
# If not the same length, abort with error message
|
|
|
|
|
|
|
|
stop("Arguments thth and intensity have different lengths!")
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
### --- Arguments check
|
|
|
|
|
|
|
|
if (any(thth <= 0)) {
|
|
|
|
|
|
|
|
stop("thth vector contains values less-than or equal to zero")
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
### --- Arguments check
|
|
|
|
|
|
|
|
if (any(intensity < 0)) {
|
|
|
|
|
|
|
|
stop("intensity vector contains values less than zero")
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# THIS IS NECESSARY, but overlooked for the moment
|
|
|
|
|
|
|
|
#int.p.start <- (1 / (1 + (CuKa["Ka2a", "E"] + CuKa["Ka2b", "E"]) /
|
|
|
|
|
|
|
|
#(CuKa["Ka1a", "E"] + CuKa["Ka1b", "E"]))) * intensity[1:startdatapoint-1]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Redefine everything
|
|
|
|
|
|
|
|
#thth <- thth[startdatapoint:length(thth)]
|
|
|
|
|
|
|
|
#intensity <- intensity[startdatapoint:length(intensity)]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Convert from 2theta to theta scale for use in first step of calculations
|
|
|
|
|
|
|
|
theta <- thth / 2
|
|
|
|
|
|
|
|
sintheta <- sin(as.radians(theta))
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Corresponds to equation 10 in Dong1999a
|
|
|
|
|
|
|
|
# This is based on the assumption that we are supposed to get delta-thth values
|
|
|
|
|
|
|
|
delta.thth.a <- matrix(0, length(theta), length(weights[[lever]]))
|
|
|
|
|
|
|
|
for (j in 1:length(lengths[[lever]])) {
|
|
|
|
|
|
|
|
delta.thth.a[,j] <- 2 * asin(as.radians((lengths[[lever]][j] * sintheta)))
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Add the calculated deltas to the recorded thth values
|
|
|
|
|
|
|
|
# Corresponds to equation 10 in Dong1999a
|
|
|
|
|
|
|
|
thth.a <- matrix(NA, dim(delta.thth.a)[1], dim(delta.thth.a)[2] + 1)
|
|
|
|
|
|
|
|
# Flip the delta.thth.a matrix vertically (just for convenience)
|
|
|
|
|
|
|
|
delta.thth.a <- delta.thth.a[,dim(delta.thth.a)[2]:1]
|
|
|
|
|
|
|
|
for (j in 2:dim(thth.a)[2]) {
|
|
|
|
|
|
|
|
thth.a[,1] <- thth
|
|
|
|
|
|
|
|
thth.a[,j] <- thth + delta.thth.a[,j - 1]
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Intensities with interpolated intensities at the calculated 2theta values
|
|
|
|
|
|
|
|
int.interp <- matrix(NA, dim(thth.a)[1], dim(thth.a)[2])
|
|
|
|
|
|
|
|
for (j in 2:dim(int.interp)[2]) {
|
|
|
|
|
|
|
|
int.interp[,1] <- intensity
|
|
|
|
|
|
|
|
int.interp[,j] <- approx(thth, intensity, xout = thth.a[,j])$y
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
# So far, we have just replaced the old thth-scale with a new one,
|
|
|
|
|
|
|
|
# and calculated the intensitites by linearly interpolating from the old intensities.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Intensities times lever weights, P(j) (this is what you will substract from int.interp)
|
|
|
|
|
|
|
|
int.p <- matrix(NA, length(theta), length(weights[[lever]]))
|
|
|
|
|
|
|
|
for (j in 1:length(lengths[[lever]])) {
|
|
|
|
|
|
|
|
int.p[,j] <- weights[[lever]][j] * int.interp[,j + 1]
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Calculate intensities with Ka2 contribution stripped
|
|
|
|
|
|
|
|
#int.stripped <- c(int.interp[,-1]) - rowSums(int.p)
|
|
|
|
|
|
|
|
int.stripped <- thth - rowSums(int.p)
|
|
|
|
|
|
|
|
#corr.tmp.df <- data.frame(thth = c(thth.a[,-1]), int.corr = int.stripped)
|
|
|
|
|
|
|
|
corr.tmp.df <- data.frame(thth = thth, int.corr = int.stripped)
|
|
|
|
|
|
|
|
corr.df <- corr.tmp.df[order(corr.tmp.df$thth), ]
|
|
|
|
|
|
|
|
#row.names(corr.df) <- seq(1, length(corr.df$thth))
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Make a dataframe of thth.a and int.a and order it by thth
|
|
|
|
|
|
|
|
#df.a <- data.frame(thth = c(thth.a), intensity = c(int.a))
|
|
|
|
|
|
|
|
#df.as <- df.a[order(df.a$thth), ]
|
|
|
|
|
|
|
|
#row.names(df.as) <- seq(1,length(df.as$thth)) # fixes row names order
|
|
|
|
|
|
|
|
# df.as is exactly as the original data, just with the correct number of
|
|
|
|
|
|
|
|
# interpolated thth and intensity values included.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
return(corr.df)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Perhaps thth.a and int.p.terms are the new x and y
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Intensities in summation term (this is the Ka2 correction)
|
|
|
|
|
|
|
|
#int.p <- rowSums(int.p.terms)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Collapse the matrix thth.a into a single column
|
|
|
|
|
|
|
|
#thth.ai <- matrix(NA, dim(thth.a)[1] * dim(thth.a)[2], 2)
|
|
|
|
|
|
|
|
#thth.ai[,1] <- sort(c(thth.a))
|
|
|
|
|
|
|
|
#thth.ai[,2] <- approx(thth, intensity, xout = thth.ai[,1])$y
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# Built-in functions in R to interpolate or extrapolate
|
|
|
|
|
|
|
|
# stats::approx Linear interpolation
|
|
|
|
|
|
|
|
# Hmisc::approxExtrap Linear extrapolation
|
|
|
|
|
|
|
|
# go with linear functions for now, see how that works out
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# This is NOT necessary
|
|
|
|
|
|
|
|
# This vector helps convert from lever to actual number of parameter pairs
|
|
|
|
|
|
|
|
#parpairs <- numeric()
|
|
|
|
|
|
|
|
#for (j in 1:length(weights)) {
|
|
|
|
|
|
|
|
# parpairs[j] <- length(weights[[j]])
|
|
|
|
|
|
|
|
#}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
##### STILL UNDER CONSTRUCTION ####
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
##################################################
|
|
|
|
##################################################
|
|
|
|
################ pearson.beta ####################
|
|
|
|
################ pearson.beta ####################
|
|
|
|
##################################################
|
|
|
|
##################################################
|
|
|
|