# T1 joint assessment v2026.09.13-r4. Base R only. No model fitting or patient data.
opo_joint_spec <- list(version='2026.09.13-r4',beta=c(-4.78405979380143,0.6696684016643029,1.2501430016860613),scale=10,a2_cutoff=0.03543760156428906,se_cutoff=.375)
opo_joint_reference <- data.frame(cohort=c('development','development','development','development','temporal','temporal','temporal','temporal'),stratum=c('neither','axial_only','SE_only','both','neither','axial_only','SE_only','both'),N=c(2476,559,394,398,648,129,97,106),events=c(13,19,25,79,4,3,4,21),rate=c(0.00525040387722132,0.0339892665474061,0.0634517766497462,0.198492462311558,0.00617283950617284,0.0232558139534884,0.0412371134020619,0.19811320754717),lower=c(0.00307097377453918,0.0218658598181014,0.0433448217393294,0.162270020050046,0.00240303808439402,0.00794013743257945,0.0161512365861632,0.133388935262873),upper=c(0.0089626418078398,0.0524738288543773,0.0919891351094471,0.240479510313643,0.0157631258814844,0.0661441048518858,0.101275256040737,0.283953107649412),stringsAsFactors=FALSE)
opo_joint_classify <- function(probability,se_D) {
 if(length(probability)!=1L||!is.numeric(probability)||!is.finite(probability)||probability<0||probability>1||length(se_D)!=1L||!is.numeric(se_D)||!is.finite(se_D)||se_D<0||se_D>=1)stop('Invalid probability or T1 SE difference')
 a<-probability>opo_joint_spec$a2_cutoff;s<-se_D>opo_joint_spec$se_cutoff
 list(a2_high=a,se_high=s,stratum=if(a){if(s)'both' else 'axial_only'}else{if(s)'SE_only' else 'neither'},jointly_met=a&&s)
}
opo_joint_assess <- function(baseline_mm=NA_real_,growth_mm6=NA_real_,se_D=NA_real_) {
 v<-list(baseline_mm,growth_mm6,se_D)
 fail<-function(status,message)list(status=status,message=message,probability=NA_real_,analysis_probability=NA_real_,eta=NA_real_,a2_high=NA,se_high=NA,stratum=NA_character_,jointly_met=NA,reference=opo_joint_reference[FALSE,])
 if(any(vapply(v,function(x)is.null(x)||(length(x)==1L&&(identical(x,'')||(is.na(x)&&!is.nan(x)))),logical(1))))return(fail('missing','Complete all three inputs'))
 if(any(vapply(v,function(x)length(x)!=1L||!is.numeric(x)||is.complex(x)||!is.finite(x),logical(1))))return(fail('invalid','Enter finite numeric scalars'))
 if(baseline_mm<0||se_D<0)return(fail('invalid','Absolute differences cannot be negative'))
 if(se_D>=1)return(fail('out_of_scope','T1 SE difference >=1.00 D is outside incident-outcome use'))
 x<-baseline_mm*opo_joint_spec$scale;g<-growth_mm6*opo_joint_spec$scale
 eta<-opo_joint_spec$beta[1]+opo_joint_spec$beta[2]*x+opo_joint_spec$beta[3]*g
 if(!all(is.finite(c(x,g,eta))))return(fail('invalid','Numeric overflow'))
 p<-plogis(eta);cl<-opo_joint_classify(p,se_D)
 c(list(status='ready',message='Inputs calculable; full study eligibility still applies',probability=p,analysis_probability=max(1e-10,min(1-1e-10,p)),eta=eta,coded_x=x,coded_g=g),cl,list(reference=opo_joint_reference[opo_joint_reference$stratum==cl$stratum,]))
}

opo_numeric_status <- function(v) {
 if(any(vapply(v,function(x)is.null(x)||(length(x)==1L&&(identical(x,'')||(is.na(x)&&!is.nan(x)))),logical(1))))return('missing')
 if(any(vapply(v,function(x)length(x)!=1L||!is.numeric(x)||is.complex(x)||!is.finite(x),logical(1))))return('invalid')
 'ready'
}
opo_derive_axial <- function(right_T0_mm=NA_real_,left_T0_mm=NA_real_,right_T1_mm=NA_real_,left_T1_mm=NA_real_,interval_months=NA_real_) {
 v<-list(right_T0_mm,left_T0_mm,right_T1_mm,left_T1_mm,interval_months)
 fail<-function(status,message)list(status=status,message=message,baseline_mm=NA_real_,growth_mm6=NA_real_,longer_eye=NA_character_)
 st<-opo_numeric_status(v)
 if(st!='ready')return(fail(st,'Complete all five finite numeric inputs'))
 if(any(unlist(v[1:4])<=0)||interval_months<=0)return(fail('invalid','Axial lengths and interval must be positive'))
 if(interval_months<4||interval_months>8)return(fail('out_of_scope','T1 must be 4-8 months after T0'))
 if(right_T0_mm==left_T0_mm)return(fail('orientation_required','T0 axial lengths are equal; use already-derived study-coded inputs'))
 sign<-if(right_T0_mm>left_T0_mm)1 else -1
 baseline_mm<-abs(right_T0_mm-left_T0_mm)
 growth_mm6<-((right_T1_mm-right_T0_mm)-(left_T1_mm-left_T0_mm))*sign*6/interval_months
 if(!all(is.finite(c(baseline_mm,growth_mm6))))return(fail('invalid','Numeric overflow'))
 list(status='ready',message='Conversion complete',baseline_mm=baseline_mm,growth_mm6=growth_mm6,longer_eye=if(sign==1)'right' else 'left')
}
opo_derive_se <- function(right_T1_SE_D=NA_real_,left_T1_SE_D=NA_real_) {
 fail<-function(status,message)list(status=status,message=message,se_D=NA_real_,in_incident_range=NA)
 st<-opo_numeric_status(list(right_T1_SE_D,left_T1_SE_D))
 if(st!='ready')return(fail(st,'Complete both finite numeric SE inputs'))
 se_D<-abs(right_T1_SE_D-left_T1_SE_D)
 if(!is.finite(se_D))return(fail('invalid','Numeric overflow'))
 list(status='ready',message=if(se_D<1)'Conversion complete' else 'Outside incident-outcome use',se_D=se_D,in_incident_range=se_D<1)
}


# Development-cohort percentile positions; separate marginal distributions only.
# Original three-input prediction entry point and classifier above are unchanged.
opo_percentile_reference <- list(n=3827L,
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1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,11,1,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,4,1,1,1,2,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,1,1,2,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,6,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,13,1,1,1,3,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,2,1,1,2,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,7,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,2,1,1,1,1,8,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,9,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,5,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,5,2,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)),
 se=data.frame(value=c(0,0.125,0.15000000000000002,0.20000000000000018,0.23499999999999988,0.25,0.2749999999999999,0.375,0.4249999999999998,0.5,0.625,0.75,0.875),count=c(857,668,1,1,1,1124,1,382,1,496,131,121,43)))
.opo_percentile_position <- function(metric,value) {
 n<-opo_percentile_reference$n
 if(length(value)!=1L||!is.numeric(value)||is.complex(value)||!is.finite(value)||(metric=='se'&&(value<0||value>=1)))
   return(list(status='invalid',lower=NA_real_,upper=NA_real_,below=NA_integer_,equal=NA_integer_,n=n))
 d<-opo_percentile_reference[[metric]]; below<-sum(d$count[d$value<value]); equal<-sum(d$count[d$value==value])
 list(status='ready',metric=metric,value=value,n=n,below=below,equal=equal,lower=100*below/n,upper=100*(below+equal)/n)
}
opo_reference_position <- function(baseline_mm=NA_real_,growth_mm6=NA_real_,se_D=NA_real_) {
 assessment<-opo_joint_assess(baseline_mm,growth_mm6,se_D)
 if(assessment$status!='ready')return(list(status=assessment$status,a2=NULL,se=NULL,n=opo_percentile_reference$n))
 list(status='ready',n=opo_percentile_reference$n,a2=.opo_percentile_position('a2',assessment$eta),se=.opo_percentile_position('se',se_D))
}