R/CIPW.R
In maxgav13/GMisc: Miscellaneous Functions for Geology (and its areas)
Defines functions
CIPW
Documented in
CIPW
#' CIPW Norm
#' @description \code{CIPW()} calculates the mineral composition of an igneous rock sample, based on ther major oxides and weight percent
#' @param data A dataframe (tibble) with the major oxides in the first column and their percent weight in the second column
#'
#' @return Summary table for the CIPW norm, with all the minerals and their percent weight, as well as separate tables for the ferromagentic minerals and its components
#' @export
#' @importFrom ggplot2 .data
#' @details The names of the oxides must be: SiO2, TiO2, Al2O3, Fe2O3, FeO, MnO, MgO, CaO, Na2O, K2O, P2O5. If any of the major oxides is not present just use 0 for their percent weight
#' @examples
#' d = data.frame(O = c('SiO2', 'TiO2', 'Al2O3', 'Fe2O3', 'FeO',
#' 'MnO', 'MgO', 'CaO', 'Na2O', 'K2O', 'P2O5'),
#' W = c(35.6,5.98,12.9,7.68,9.28,.05,
#' 5.4,8.46,8.35,2.78,2.13))
#' CIPW(d)
#'
CIPW = function(data) {
# Major oxides and their molecular weights
cipw.mw = tibble::tibble(
Oxide = c("SiO2","TiO2","Al2O3","Fe2O3","FeO",
"MnO","MgO","CaO","Na2O","K2O","P2O5"),
MW = c(60.08,79.90,101.96,159.69,71.85,
70.94,40.30,56.08,61.98,94.20,141.94)
)
# Norm minerals and their molecular weights
cipw.min = tibble::tibble(
Mineral = c('Quartz','Corundum','Zircon','Orthoclase','Albite',
'Anorthite','Leucite','Nepheline','Kaliophilite',
'Halite','Thenardite','Sodium-Carbonate','Acmite',
'Sodium-metasilicate','Potassium-metasilicate',
'Diopside','Wollastonite','Hypersthene','Olivine',
'Calcium-silicate','Magnetite','Chromite','Ilmenite',
'Hematite','Titanite','Perovskite','Rutile','Apatite',
'Fluorite','Pyrite','Calcite'),
Abbr = c('q','c','z','or','ab','an','lc','ne','kp','hl','th','nc',
'ac','ns','ks','di','wo','hy','ol','cs','mt','cm','il',
'hm','tn','pf','ru','ap','fl','pr','cc'),
MW = c(60.08,101.96,183.31,556.64,524.42,278.20,436.48,
284.10,316.32,132.89,142.04,105.99,461.99,122.06,
154.28,1.00,116.16,1.00,1.00,172.24,231.54,223.84,
151.75,159.69,196.06,135.98,79.90,336.21,78.08,119.98,100.09)
)
# tibble to store results
mynorm = rep(0,nrow(cipw.min)) %>%
purrr::set_names(cipw.min$Abbr) %>%
tibble::as_tibble_row()
# function to calculate results for di, hy, ol
dihyol = function(mynorm) {
mgdi = M*mynorm$di
fedi = F*mynorm$di
di = mgdi*216.55 + fedi*248.09
mynorm$di = di
en = M*mynorm$hy
fs = F*mynorm$hy
hy = en*100.39 + fs*131.93
mynorm$hy = hy
fo = M*mynorm$ol
fa = F*mynorm$ol
ol = fo*140.7 + fa*203.78
mynorm$ol = ol
parts = tibble::tibble(
Mineral = rep(c('Diopside','Hypersthene','Olivine'),each=2),
Abbr = rep(c('di','hy','ol'),each=2),
Part = c('mgdi','fedi','en','fs','fo','fa'),
MF = rep(c('M','F'),3),
MF_prop = rep(c(M,F),3),
MW = c(216.55,248.09,100.39,131.93,140.7,203.78),
Result = c(mgdi,fedi,en,fs,fo,fa)/.data$MW,
Perc_W = c(mgdi,fedi,en,fs,fo,fa)
)
return(list(mynorm = mynorm,
parts = parts))
}
# data prep
dat = data %>%
purrr::set_names(c('Oxide','Perc_W'))
dat = dat %>%
dplyr::left_join(cipw.mw, by = 'Oxide') %>%
dplyr::mutate(mol.prop = .data$Perc_W/.data$MW)
# molar proportions
mol.prop = dat$mol.prop %>%
purrr::set_names(dat$Oxide)
# MnO & FeO
FeO = sum(mol.prop[c('FeO','MnO')])
# ap
ap = mol.prop['P2O5']
mynorm$ap = ap
CaO = mol.prop['CaO'] - 10/3*ap
# FeO vs TiO2
if (FeO > mol.prop['TiO2']) {
il = mol.prop['TiO2']
mynorm$il = il
FeO = FeO - il
TiO2 = 0
} else {
il = FeO
mynorm$il = il
TiO2 = mol.prop['TiO2'] - il
FeO = 0
}
# Al203 vs K2O
if (mol.prop['Al2O3'] > mol.prop['K2O']) {
or.prime = mol.prop['K2O']
mynorm$or = or.prime
Al2O3 = mol.prop['Al2O3'] - or.prime
Si = 6 * or.prime
ks = 0
mynorm$ks = ks
K2O = 0
} else {
or.prime = mol.prop['Al2O3']
mynorm$or = or.prime
K2O = mol.prop['K2O'] - or.prime
ks = K2O
mynorm$ks = ks
Si = 6 * or.prime + ks
Al2O3 = 0
}
# Al203 vs Na2O
if (Al2O3 > mol.prop['Na2O']) {
ab.prime = mol.prop['Na2O']
mynorm$ab = ab.prime
Al2O3 = Al2O3 - ab.prime
Si = Si + 6 * ab.prime
Na2O = 0
} else {
ab.prime = Al2O3
mynorm$ab = ab.prime
Na2O = mol.prop['Na2O'] - ab.prime
Si = Si + 6 * ab.prime
Al2O3 = 0
}
# Na20 vs Fe2O3
if (Na2O > mol.prop['Fe2O3']) {
ac = mol.prop['Fe2O3']
mynorm$ac = ac
Na2O = Na2O - ac
ns = Na2O
mynorm$ns = ns
Si = Si + 4 * ac + ns
Fe2O3 = 0
} else {
ac = Na2O
mynorm$ac = ac
ns = 0
mynorm$ns = ns
Fe2O3 = mol.prop['Fe2O3'] - ac
Si = Si + 4 * ac
Na2O = 0
}
# Al203 vs CaO
if (Al2O3 > CaO) {
an = CaO
mynorm$an = an
Al2O3 = Al2O3 - an
CaO = 0
c = Al2O3
mynorm$c = c
Si = Si + 2 * an
Al2O3 = 0
} else {
an = Al2O3
mynorm$an = an
c = 0
mynorm$c = c
CaO = CaO - an
Si = Si + 2 * an
}
# Ca0 vs TiO2
if (CaO > TiO2) {
tn.prime = TiO2
mynorm$tn = tn.prime
CaO = CaO - tn.prime
ru = 0
mynorm$ru = ru
Si = Si + tn.prime
} else {
tn.prime = CaO
mynorm$tn = tn.prime
TiO2 = TiO2 - tn.prime
ru = TiO2
mynorm$ru = ru
Si = Si + tn.prime
TiO2 = 0
}
# Fe2O3 vs FeO
if (Fe2O3 > FeO) {
mt = FeO
mynorm$mt = mt
Fe2O3 = Fe2O3 - mt
hm = Fe2O3
mynorm$hm = hm
FeO = 0
} else {
mt = Fe2O3
mynorm$mt = mt
hm = 0
mynorm$hm = hm
FeO = FeO - mt
Fe2O3 = 0
}
# F & M
MgFeO = (mol.prop['MgO'] + FeO)
M = (mol.prop['MgO'] / MgFeO)
F = (FeO / MgFeO)
# CaO vs (Mg,Fe)O
if (CaO > MgFeO) {
di.prime = MgFeO
mynorm$di = di.prime
CaO = CaO - di.prime
wo.prime = CaO
mynorm$wo = wo.prime
hy.prime = 0
mynorm$hy = hy.prime
Si = Si + 2 * di.prime + wo.prime
CaO = 0
} else {
di.prime = CaO
mynorm$di = di.prime
MgFeO = MgFeO - di.prime
hy.prime = MgFeO
mynorm$hy = hy.prime
Si = Si + 2 * di.prime + hy.prime
wo.prime = 0
mynorm$wo = wo.prime
}
# Si & D
if (mol.prop['SiO2'] > Si) {
q = mol.prop['SiO2'] - Si
mynorm$q = q
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
D = Si - mol.prop['SiO2']
} else {
D = Si - mol.prop['SiO2']
D0 = D
if (D < hy.prime/2) {
ol = D
mynorm$ol = ol
hy = hy.prime - 2 * D
mynorm$hy = hy
D = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
ol = hy.prime/2
mynorm$ol = ol
hy = 0
mynorm$hy = hy
D1 = D - hy.prime/2
if (D1 < tn.prime) {
tn = tn.prime - D1
mynorm$tn = tn
pf = D1
mynorm$pf = pf
D1 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
pf = tn.prime
mynorm$pf = pf
tn = 0
mynorm$tn = tn
D2 = D1 - tn.prime
if (D2 < 4*ab.prime) {
ne = D2/4
mynorm$ne = ne
ab = ab.prime - D2/4
mynorm$ab = ab
D2 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
ne.prime = ab.prime
mynorm$ne = ne.prime
ab = 0
mynorm$ab = ab
D3 = D2 - 4*ab.prime
if (D3 < 2*or.prime) {
lc = D3/2
mynorm$lc = lc
or = or.prime - D3/2
mynorm$or = or
D3 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
lc.prime = or.prime
mynorm$lc = lc.prime
or = 0
mynorm$or = or
D4 = D3 - 2*or.prime
if (D4 < wo.prime/2) {
cs = D4
mynorm$cs = cs
wo = wo.prime - 2*D4
mynorm$wo = wo
D4 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
cs = wo.prime/2
mynorm$cs = cs
wo = 0
mynorm$wo = wo
D5 = D4 - wo.prime/2
if (D5 < di.prime) {
cs = cs + D5/2
mynorm$cs = cs
ol = ol + D5/2
mynorm$ol = ol
di = di.prime - D5
mynorm$di = di
D5 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
cs = cs + di.prime/2
mynorm$cs = cs
ol = ol + di.prime/2
mynorm$ol = ol
di = 0
mynorm$di = di
D6 = D5 - di.prime
kp = D6/2
mynorm$kp = kp
lc = lc.prime - D6/2
mynorm$lc = lc
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
if (lc < 0) {
lc4 = 0
kp = or.prime
mynorm$lc = lc4
mynorm$kp = kp
} else {
lc4 = or.prime
kp = kp
mynorm$lc = lc4
}
if (lc > 0 & kp > 0) {
lc5 = lc
mynorm$lc = lc5
} else {
lc5 = lc4
mynorm$lc = lc5
}
}
}
}
}
}
}
}
CIPW = mynorm %>%
tidyr::pivot_longer(dplyr::everything(),
names_to = 'Abbr',
values_to = 'Result') %>%
dplyr::left_join(cipw.min, by = 'Abbr') %>%
dplyr::relocate(.data$Mineral) %>%
dplyr::mutate(Perc_W = (.data$Result * .data$MW) %>% round(2),
Result = .data$Result %>% round(4)) %>%
dplyr::filter(.data$Perc_W > 0)
parts.summary = parts %>%
dplyr::group_by(.data$Mineral) %>%
dplyr::summarise(MW = sum(.data$MW * .data$MF_prop),
Result = sum(.data$Result),
Perc_W = sum(.data$Perc_W))
return(list(CIPW = CIPW,
parts = parts,
parts.summary = parts.summary))
}
maxgav13/GMisc documentation built on June 12, 2022, 3:48 a.m.
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Defines functions CIPW
Documented in CIPW
#' CIPW Norm
#' @description \code{CIPW()} calculates the mineral composition of an igneous rock sample, based on ther major oxides and weight percent
#' @param data A dataframe (tibble) with the major oxides in the first column and their percent weight in the second column
#'
#' @return Summary table for the CIPW norm, with all the minerals and their percent weight, as well as separate tables for the ferromagentic minerals and its components
#' @export
#' @importFrom ggplot2 .data
#' @details The names of the oxides must be: SiO2, TiO2, Al2O3, Fe2O3, FeO, MnO, MgO, CaO, Na2O, K2O, P2O5. If any of the major oxides is not present just use 0 for their percent weight
#' @examples
#' d = data.frame(O = c('SiO2', 'TiO2', 'Al2O3', 'Fe2O3', 'FeO',
#' 'MnO', 'MgO', 'CaO', 'Na2O', 'K2O', 'P2O5'),
#' W = c(35.6,5.98,12.9,7.68,9.28,.05,
#' 5.4,8.46,8.35,2.78,2.13))
#' CIPW(d)
#'
CIPW = function(data) {
# Major oxides and their molecular weights
cipw.mw = tibble::tibble(
Oxide = c("SiO2","TiO2","Al2O3","Fe2O3","FeO",
"MnO","MgO","CaO","Na2O","K2O","P2O5"),
MW = c(60.08,79.90,101.96,159.69,71.85,
70.94,40.30,56.08,61.98,94.20,141.94)
)
# Norm minerals and their molecular weights
cipw.min = tibble::tibble(
Mineral = c('Quartz','Corundum','Zircon','Orthoclase','Albite',
'Anorthite','Leucite','Nepheline','Kaliophilite',
'Halite','Thenardite','Sodium-Carbonate','Acmite',
'Sodium-metasilicate','Potassium-metasilicate',
'Diopside','Wollastonite','Hypersthene','Olivine',
'Calcium-silicate','Magnetite','Chromite','Ilmenite',
'Hematite','Titanite','Perovskite','Rutile','Apatite',
'Fluorite','Pyrite','Calcite'),
Abbr = c('q','c','z','or','ab','an','lc','ne','kp','hl','th','nc',
'ac','ns','ks','di','wo','hy','ol','cs','mt','cm','il',
'hm','tn','pf','ru','ap','fl','pr','cc'),
MW = c(60.08,101.96,183.31,556.64,524.42,278.20,436.48,
284.10,316.32,132.89,142.04,105.99,461.99,122.06,
154.28,1.00,116.16,1.00,1.00,172.24,231.54,223.84,
151.75,159.69,196.06,135.98,79.90,336.21,78.08,119.98,100.09)
)
# tibble to store results
mynorm = rep(0,nrow(cipw.min)) %>%
purrr::set_names(cipw.min$Abbr) %>%
tibble::as_tibble_row()
# function to calculate results for di, hy, ol
dihyol = function(mynorm) {
mgdi = M*mynorm$di
fedi = F*mynorm$di
di = mgdi*216.55 + fedi*248.09
mynorm$di = di
en = M*mynorm$hy
fs = F*mynorm$hy
hy = en*100.39 + fs*131.93
mynorm$hy = hy
fo = M*mynorm$ol
fa = F*mynorm$ol
ol = fo*140.7 + fa*203.78
mynorm$ol = ol
parts = tibble::tibble(
Mineral = rep(c('Diopside','Hypersthene','Olivine'),each=2),
Abbr = rep(c('di','hy','ol'),each=2),
Part = c('mgdi','fedi','en','fs','fo','fa'),
MF = rep(c('M','F'),3),
MF_prop = rep(c(M,F),3),
MW = c(216.55,248.09,100.39,131.93,140.7,203.78),
Result = c(mgdi,fedi,en,fs,fo,fa)/.data$MW,
Perc_W = c(mgdi,fedi,en,fs,fo,fa)
)
return(list(mynorm = mynorm,
parts = parts))
}
# data prep
dat = data %>%
purrr::set_names(c('Oxide','Perc_W'))
dat = dat %>%
dplyr::left_join(cipw.mw, by = 'Oxide') %>%
dplyr::mutate(mol.prop = .data$Perc_W/.data$MW)
# molar proportions
mol.prop = dat$mol.prop %>%
purrr::set_names(dat$Oxide)
# MnO & FeO
FeO = sum(mol.prop[c('FeO','MnO')])
# ap
ap = mol.prop['P2O5']
mynorm$ap = ap
CaO = mol.prop['CaO'] - 10/3*ap
# FeO vs TiO2
if (FeO > mol.prop['TiO2']) {
il = mol.prop['TiO2']
mynorm$il = il
FeO = FeO - il
TiO2 = 0
} else {
il = FeO
mynorm$il = il
TiO2 = mol.prop['TiO2'] - il
FeO = 0
}
# Al203 vs K2O
if (mol.prop['Al2O3'] > mol.prop['K2O']) {
or.prime = mol.prop['K2O']
mynorm$or = or.prime
Al2O3 = mol.prop['Al2O3'] - or.prime
Si = 6 * or.prime
ks = 0
mynorm$ks = ks
K2O = 0
} else {
or.prime = mol.prop['Al2O3']
mynorm$or = or.prime
K2O = mol.prop['K2O'] - or.prime
ks = K2O
mynorm$ks = ks
Si = 6 * or.prime + ks
Al2O3 = 0
}
# Al203 vs Na2O
if (Al2O3 > mol.prop['Na2O']) {
ab.prime = mol.prop['Na2O']
mynorm$ab = ab.prime
Al2O3 = Al2O3 - ab.prime
Si = Si + 6 * ab.prime
Na2O = 0
} else {
ab.prime = Al2O3
mynorm$ab = ab.prime
Na2O = mol.prop['Na2O'] - ab.prime
Si = Si + 6 * ab.prime
Al2O3 = 0
}
# Na20 vs Fe2O3
if (Na2O > mol.prop['Fe2O3']) {
ac = mol.prop['Fe2O3']
mynorm$ac = ac
Na2O = Na2O - ac
ns = Na2O
mynorm$ns = ns
Si = Si + 4 * ac + ns
Fe2O3 = 0
} else {
ac = Na2O
mynorm$ac = ac
ns = 0
mynorm$ns = ns
Fe2O3 = mol.prop['Fe2O3'] - ac
Si = Si + 4 * ac
Na2O = 0
}
# Al203 vs CaO
if (Al2O3 > CaO) {
an = CaO
mynorm$an = an
Al2O3 = Al2O3 - an
CaO = 0
c = Al2O3
mynorm$c = c
Si = Si + 2 * an
Al2O3 = 0
} else {
an = Al2O3
mynorm$an = an
c = 0
mynorm$c = c
CaO = CaO - an
Si = Si + 2 * an
}
# Ca0 vs TiO2
if (CaO > TiO2) {
tn.prime = TiO2
mynorm$tn = tn.prime
CaO = CaO - tn.prime
ru = 0
mynorm$ru = ru
Si = Si + tn.prime
} else {
tn.prime = CaO
mynorm$tn = tn.prime
TiO2 = TiO2 - tn.prime
ru = TiO2
mynorm$ru = ru
Si = Si + tn.prime
TiO2 = 0
}
# Fe2O3 vs FeO
if (Fe2O3 > FeO) {
mt = FeO
mynorm$mt = mt
Fe2O3 = Fe2O3 - mt
hm = Fe2O3
mynorm$hm = hm
FeO = 0
} else {
mt = Fe2O3
mynorm$mt = mt
hm = 0
mynorm$hm = hm
FeO = FeO - mt
Fe2O3 = 0
}
# F & M
MgFeO = (mol.prop['MgO'] + FeO)
M = (mol.prop['MgO'] / MgFeO)
F = (FeO / MgFeO)
# CaO vs (Mg,Fe)O
if (CaO > MgFeO) {
di.prime = MgFeO
mynorm$di = di.prime
CaO = CaO - di.prime
wo.prime = CaO
mynorm$wo = wo.prime
hy.prime = 0
mynorm$hy = hy.prime
Si = Si + 2 * di.prime + wo.prime
CaO = 0
} else {
di.prime = CaO
mynorm$di = di.prime
MgFeO = MgFeO - di.prime
hy.prime = MgFeO
mynorm$hy = hy.prime
Si = Si + 2 * di.prime + hy.prime
wo.prime = 0
mynorm$wo = wo.prime
}
# Si & D
if (mol.prop['SiO2'] > Si) {
q = mol.prop['SiO2'] - Si
mynorm$q = q
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
D = Si - mol.prop['SiO2']
} else {
D = Si - mol.prop['SiO2']
D0 = D
if (D < hy.prime/2) {
ol = D
mynorm$ol = ol
hy = hy.prime - 2 * D
mynorm$hy = hy
D = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
ol = hy.prime/2
mynorm$ol = ol
hy = 0
mynorm$hy = hy
D1 = D - hy.prime/2
if (D1 < tn.prime) {
tn = tn.prime - D1
mynorm$tn = tn
pf = D1
mynorm$pf = pf
D1 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
pf = tn.prime
mynorm$pf = pf
tn = 0
mynorm$tn = tn
D2 = D1 - tn.prime
if (D2 < 4*ab.prime) {
ne = D2/4
mynorm$ne = ne
ab = ab.prime - D2/4
mynorm$ab = ab
D2 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
ne.prime = ab.prime
mynorm$ne = ne.prime
ab = 0
mynorm$ab = ab
D3 = D2 - 4*ab.prime
if (D3 < 2*or.prime) {
lc = D3/2
mynorm$lc = lc
or = or.prime - D3/2
mynorm$or = or
D3 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
lc.prime = or.prime
mynorm$lc = lc.prime
or = 0
mynorm$or = or
D4 = D3 - 2*or.prime
if (D4 < wo.prime/2) {
cs = D4
mynorm$cs = cs
wo = wo.prime - 2*D4
mynorm$wo = wo
D4 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
cs = wo.prime/2
mynorm$cs = cs
wo = 0
mynorm$wo = wo
D5 = D4 - wo.prime/2
if (D5 < di.prime) {
cs = cs + D5/2
mynorm$cs = cs
ol = ol + D5/2
mynorm$ol = ol
di = di.prime - D5
mynorm$di = di
D5 = 0
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
} else {
cs = cs + di.prime/2
mynorm$cs = cs
ol = ol + di.prime/2
mynorm$ol = ol
di = 0
mynorm$di = di
D6 = D5 - di.prime
kp = D6/2
mynorm$kp = kp
lc = lc.prime - D6/2
mynorm$lc = lc
mynorm = dihyol(mynorm)$mynorm
parts = dihyol(mynorm)$parts
if (lc < 0) {
lc4 = 0
kp = or.prime
mynorm$lc = lc4
mynorm$kp = kp
} else {
lc4 = or.prime
kp = kp
mynorm$lc = lc4
}
if (lc > 0 & kp > 0) {
lc5 = lc
mynorm$lc = lc5
} else {
lc5 = lc4
mynorm$lc = lc5
}
}
}
}
}
}
}
}
CIPW = mynorm %>%
tidyr::pivot_longer(dplyr::everything(),
names_to = 'Abbr',
values_to = 'Result') %>%
dplyr::left_join(cipw.min, by = 'Abbr') %>%
dplyr::relocate(.data$Mineral) %>%
dplyr::mutate(Perc_W = (.data$Result * .data$MW) %>% round(2),
Result = .data$Result %>% round(4)) %>%
dplyr::filter(.data$Perc_W > 0)
parts.summary = parts %>%
dplyr::group_by(.data$Mineral) %>%
dplyr::summarise(MW = sum(.data$MW * .data$MF_prop),
Result = sum(.data$Result),
Perc_W = sum(.data$Perc_W))
return(list(CIPW = CIPW,
parts = parts,
parts.summary = parts.summary))
}
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