From a05cf825094e27d7c60fa19fec9732140712b584 Mon Sep 17 00:00:00 2001 From: hrbrmstr Date: Fri, 11 Sep 2015 18:14:30 -0400 Subject: [PATCH] coord_proj --- DESCRIPTION | 4 +- NAMESPACE | 25 ++++ R/coord_proj.r | 209 ++++++++++++++++++++++++++++++ R/ggalt-package.r | 6 +- R/grob_absolute.r | 47 +++++++ R/guide_axis.r | 115 ++++++++++++++++ R/utils.r | 67 ++++++++++ README.Rmd | 21 ++- README.md | 29 ++++- README_figs/README-unnamed-chunk-4-15.png | Bin 278190 -> 278538 bytes README_figs/README-unnamed-chunk-4-16.png | Bin 278190 -> 278538 bytes README_figs/README-unnamed-chunk-4-17.png | Bin 0 -> 175888 bytes man/absoluteGrob.Rd | 17 +++ man/coord_proj.Rd | 39 ++++++ 14 files changed, 567 insertions(+), 12 deletions(-) create mode 100644 R/coord_proj.r create mode 100644 R/grob_absolute.r create mode 100644 R/guide_axis.r create mode 100644 R/utils.r create mode 100644 README_figs/README-unnamed-chunk-4-17.png create mode 100644 man/absoluteGrob.Rd create mode 100644 man/coord_proj.Rd diff --git a/DESCRIPTION b/DESCRIPTION index 230e9ce..faf05ae 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -1,6 +1,6 @@ Package: ggalt Title: Alternate/Extra 'Geoms', 'Stats' and 'Coords' for 'ggplot2' -Version: 0.0.2.9005 +Version: 0.0.3.9000 Authors@R: c(person("Bob", "Rudis", email = "bob@rudis.net", role = c("aut", "cre"))) Description: A package containing additional/alternate 'geoms', 'coords' and 'stats' for use with the revamped (late 2015) version of ggplot2. @@ -9,4 +9,4 @@ License: AGPL + file LICENSE LazyData: true Suggests: testthat Encoding: UTF-8 -Imports: graphics, grDevices, dplyr, KernSmooth +Imports: graphics, grDevices, dplyr, KernSmooth, proj4, scales, grid, gtable diff --git a/NAMESPACE b/NAMESPACE index ddc3831..a9decd3 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -1,11 +1,18 @@ # Generated by roxygen2 (4.1.1): do not edit by hand +S3method(grid.draw,absoluteGrob) +S3method(grobHeight,absoluteGrob) +S3method(grobWidth,absoluteGrob) +S3method(grobX,absoluteGrob) +S3method(grobY,absoluteGrob) +export(CoordProj) export(GeomBkde) export(GeomBkde2d) export(GeomXspline) export(StatBkde) export(StatBkde2d) export(StatXspline) +export(coord_proj) export(geom_bkde) export(geom_bkde2d) export(geom_xspline) @@ -17,3 +24,21 @@ import(dplyr) import(ggplot2) import(grDevices) import(graphics) +import(proj4) +importFrom(grid,gList) +importFrom(grid,gTree) +importFrom(grid,grid.draw) +importFrom(grid,grobHeight) +importFrom(grid,grobName) +importFrom(grid,grobTree) +importFrom(grid,grobWidth) +importFrom(grid,grobX) +importFrom(grid,grobY) +importFrom(grid,unit.c) +importFrom(grid,viewport) +importFrom(gtable,gtable_col) +importFrom(gtable,gtable_height) +importFrom(gtable,gtable_row) +importFrom(gtable,gtable_width) +importFrom(scales,expand_range) +importFrom(scales,rescale) diff --git a/R/coord_proj.r b/R/coord_proj.r new file mode 100644 index 0000000..ffa89e0 --- /dev/null +++ b/R/coord_proj.r @@ -0,0 +1,209 @@ +#' Like \code{coord_map} only better :-) +#' +#' The representation of a portion of the earth, which is approximately +#' spherical, onto a flat 2D plane requires a projection. This is what +#' \code{coord_proj} does, using the \link[proj4]{project()} function from +#' the \code{proj4} package. +#' +#' @param proj projection definition +#' @param inverse if \code{TRUE} inverse projection is performed (from a +#' cartographic projection into lat/long), otherwise projects from +#' lat/long into a cartographic projection. +#' @param degrees if \code{TRUE} then the lat/long data is assumed to be in +#' degrees, otherwise in radians +#' @param ellps.default default ellipsoid that will be added if no datum or +#' ellipsoid parameter is specified in proj. Older versions of PROJ.4 +#' didn't require a datum (and used sphere by default), but 4.5.0 and +#' higher always require a datum or an ellipsoid. Set to \code{NA} if no +#' datum should be added to proj (e.g. if you specify an ellipsoid +#' directly). +#' @param xlim manually specific x limits (in degrees of longitude) +#' @param ylim manually specific y limits (in degrees of latitude) +#' @export +coord_proj <- function(proj="+proj=robin +lon_0=0 +x_0=0 +y_0=0 +ellps=WGS84 +datum=WGS84 +units=m +no_defs", + inverse = FALSE, degrees = TRUE, + ellps.default="sphere", xlim = NULL, ylim = NULL) { + + ggproto(NULL, CoordProj, + proj = proj, + inverse = inverse, + ellps.default = ellps.default, + degrees = degrees, + limits = list(x = xlim, y = ylim), + params= list() + ) + +} + +#' @export +CoordProj <- ggproto("CoordProj", Coord, + + transform = function(self, data, scale_details) { + + trans <- project4(self, data$x, data$y) + out <- cunion(trans[c("x", "y")], data) + + out$x <- rescale(out$x, 0:1, scale_details$x.proj) + out$y <- rescale(out$y, 0:1, scale_details$y.proj) + out + + }, + + distance = function(x, y, scale_details) { + max_dist <- dist_central_angle(scale_details$x.range, scale_details$y.range) + dist_central_angle(x, y) / max_dist + }, + + aspect = function(ranges) { + diff(ranges$y.proj) / diff(ranges$x.proj) + }, + + train = function(self, scale_details) { + + # range in scale + ranges <- list() + for (n in c("x", "y")) { + + scale <- scale_details[[n]] + limits <- self$limits[[n]] + + if (is.null(limits)) { + range <- scale$dimension(expand_default(scale)) + } else { + range <- range(scale_transform(scale, limits)) + } + ranges[[n]] <- range + } + + orientation <- self$orientation %||% c(90, 0, mean(ranges$x)) + + # Increase chances of creating valid boundary region + grid <- expand.grid( + x = seq(ranges$x[1], ranges$x[2], length.out = 50), + y = seq(ranges$y[1], ranges$y[2], length.out = 50) + ) + + ret <- list(x = list(), y = list()) + + # range in map + proj <- project4(self, grid$x, grid$y)$range + ret$x$proj <- proj[1:2] + ret$y$proj <- proj[3:4] + + for (n in c("x", "y")) { + out <- scale_details[[n]]$break_info(ranges[[n]]) + ret[[n]]$range <- out$range + ret[[n]]$major <- out$major_source + ret[[n]]$minor <- out$minor_source + ret[[n]]$labels <- out$labels + } + + details <- list( + orientation = orientation, + x.range = ret$x$range, y.range = ret$y$range, + x.proj = ret$x$proj, y.proj = ret$y$proj, + x.major = ret$x$major, x.minor = ret$x$minor, x.labels = ret$x$labels, + y.major = ret$y$major, y.minor = ret$y$minor, y.labels = ret$y$labels + ) + details + }, + + render_bg = function(self, scale_details, theme) { + xrange <- expand_range(scale_details$x.range, 0.2) + yrange <- expand_range(scale_details$y.range, 0.2) + + # Limit ranges so that lines don't wrap around globe + xmid <- mean(xrange) + ymid <- mean(yrange) + xrange[xrange < xmid - 180] <- xmid - 180 + xrange[xrange > xmid + 180] <- xmid + 180 + yrange[yrange < ymid - 90] <- ymid - 90 + yrange[yrange > ymid + 90] <- ymid + 90 + + xgrid <- with(scale_details, expand.grid( + y = c(seq(yrange[1], yrange[2], length.out = 50), NA), + x = x.major + )) + ygrid <- with(scale_details, expand.grid( + x = c(seq(xrange[1], xrange[2], length.out = 50), NA), + y = y.major + )) + + xlines <- self$transform(xgrid, scale_details) + ylines <- self$transform(ygrid, scale_details) + + if (nrow(xlines) > 0) { + grob.xlines <- element_render( + theme, "panel.grid.major.x", + xlines$x, xlines$y, default.units = "native" + ) + } else { + grob.xlines <- zeroGrob() + } + + if (nrow(ylines) > 0) { + grob.ylines <- element_render( + theme, "panel.grid.major.y", + ylines$x, ylines$y, default.units = "native" + ) + } else { + grob.ylines <- zeroGrob() + } + + ggname("grill", grobTree( + element_render(theme, "panel.background"), + grob.xlines, grob.ylines + )) + }, + + render_axis_h = function(self, scale_details, theme) { + if (is.null(scale_details$x.major)) return(zeroGrob()) + + x_intercept <- with(scale_details, data.frame( + x = x.major, + y = y.range[1] + )) + pos <- self$transform(x_intercept, scale_details) + + guide_axis(pos$x, scale_details$x.labels, "bottom", theme) + }, + + render_axis_v = function(self, scale_details, theme) { + if (is.null(scale_details$y.major)) return(zeroGrob()) + + x_intercept <- with(scale_details, data.frame( + x = x.range[1], + y = y.major + )) + pos <- self$transform(x_intercept, scale_details) + + guide_axis(pos$y, scale_details$y.labels, "left", theme) + } + +) + + +project4 <- function(coord, x, y) { + + df <- data.frame(x=x, y=y) + + # map extremes cause issues with projections both with proj4 & + # spTransform. this compensates for them. + + df$x <- ifelse(df$x <= -180, -179.999999999, df$x) + df$x <- ifelse(df$x >= 180, 179.999999999, df$x) + df$y <- ifelse(df$y <= -90, -89.999999999, df$y) + df$y <- ifelse(df$y >= 90, 89.999999999, df$y) + + suppressWarnings({ + res <- proj4::project(list(x=df$x, y=df$y), + proj = coord$proj, + inverse = coord$inverse, + degrees = coord$degrees, + ellps.default = coord$ellps.default) + res$range <- c(range(res$x, na.rm=TRUE), range(res$y, na.rm=TRUE)) + res$error <- 0 + res + }) +} + diff --git a/R/ggalt-package.r b/R/ggalt-package.r index ae039d0..10905db 100644 --- a/R/ggalt-package.r +++ b/R/ggalt-package.r @@ -6,5 +6,9 @@ #' @name ggalt #' @docType package #' @author Bob Rudis (@@hrbrmstr) -#' @import ggplot2 graphics grDevices dplyr KernSmooth +#' @import ggplot2 graphics grDevices dplyr KernSmooth proj4 +#' @importFrom scales rescale expand_range +#' @importFrom grid grobName grobTree unit.c grobHeight grobWidth viewport +#' grid.draw grobX grobY gTree gList +#' @importFrom gtable gtable_col gtable_height gtable_width gtable_row gtable_col NULL diff --git a/R/grob_absolute.r b/R/grob_absolute.r new file mode 100644 index 0000000..cce1387 --- /dev/null +++ b/R/grob_absolute.r @@ -0,0 +1,47 @@ +#' Absolute grob +#' +#' This grob has fixed dimensions and position. +#' +#' It's still experimental +#' +#' @keywords internal +absoluteGrob <- function(grob, width = NULL, height = NULL, + xmin = NULL, ymin = NULL, vp = NULL) { + + gTree( + children = grob, + width = width, height = height, + xmin = xmin, ymin = ymin, + vp = vp, cl = "absoluteGrob" + ) +} + +#' @export +#' @method grobHeight absoluteGrob +grobHeight.absoluteGrob <- function(x) { + x$height %||% grobHeight(x$children) +} +#' @export +#' @method grobWidth absoluteGrob +grobWidth.absoluteGrob <- function(x) { + x$width %||% grobWidth(x$children) +} + +#' @export +#' @method grobX absoluteGrob +grobX.absoluteGrob <- function(x, theta) { + if (!is.null(x$xmin) && theta == "west") return(x$xmin) + grobX(x$children, theta) +} +#' @export +#' @method grobY absoluteGrob +grobY.absoluteGrob <- function(x, theta) { + if (!is.null(x$ymin) && theta == "south") return(x$ymin) + grobY(x$children, theta) +} + +#' @export +#' @method grid.draw absoluteGrob +grid.draw.absoluteGrob <- function(x, recording = TRUE) { + NextMethod() +} diff --git a/R/guide_axis.r b/R/guide_axis.r new file mode 100644 index 0000000..715bb2a --- /dev/null +++ b/R/guide_axis.r @@ -0,0 +1,115 @@ +# Grob for axes +# +# @param position of ticks +# @param labels at ticks +# @param position of axis (top, bottom, left or right) +# @param range of data values +guide_axis <- function(at, labels, position = "right", theme) { + if (length(at) == 0) + return(zeroGrob()) + + at <- unit(at, "native") + position <- match.arg(position, c("top", "bottom", "right", "left")) + + zero <- unit(0, "npc") + one <- unit(1, "npc") + + label_render <- switch(position, + top = , bottom = "axis.text.x", + left = , right = "axis.text.y" + ) + + label_x <- switch(position, + top = , + bottom = at, + right = theme$axis.ticks.length, + left = one - theme$axis.ticks.length + ) + label_y <- switch(position, + top = theme$axis.ticks.length, + bottom = one - theme$axis.ticks.length, + right = , + left = at + ) + + if (is.list(labels)) { + if (any(sapply(labels, is.language))) { + labels <- do.call(expression, labels) + } else { + labels <- unlist(labels) + } + } + + labels <- switch(position, + top = , + bottom = element_render(theme, label_render, labels, x = label_x, expand_y = TRUE), + right = , + left = element_render(theme, label_render, labels, y = label_y, expand_x = TRUE)) + + line <- switch(position, + top = element_render(theme, "axis.line.x", c(0, 1), c(0, 0), id.lengths = 2), + bottom = element_render(theme, "axis.line.x", c(0, 1), c(1, 1), id.lengths = 2), + right = element_render(theme, "axis.line.y", c(0, 0), c(0, 1), id.lengths = 2), + left = element_render(theme, "axis.line.y", c(1, 1), c(0, 1), id.lengths = 2) + ) + + nticks <- length(at) + + ticks <- switch(position, + top = element_render(theme, "axis.ticks.x", + x = rep(at, each = 2), + y = rep(unit.c(zero, theme$axis.ticks.length), nticks), + id.lengths = rep(2, nticks)), + bottom = element_render(theme, "axis.ticks.x", + x = rep(at, each = 2), + y = rep(unit.c(one - theme$axis.ticks.length, one), nticks), + id.lengths = rep(2, nticks)), + right = element_render(theme, "axis.ticks.y", + x = rep(unit.c(zero, theme$axis.ticks.length), nticks), + y = rep(at, each = 2), + id.lengths = rep(2, nticks)), + left = element_render(theme, "axis.ticks.y", + x = rep(unit.c(one - theme$axis.ticks.length, one), nticks), + y = rep(at, each = 2), + id.lengths = rep(2, nticks)) + ) + + # Create the gtable for the ticks + labels + gt <- switch(position, + top = gtable_col("axis", + grobs = list(labels, ticks), + width = one, + heights = unit.c(grobHeight(labels), theme$axis.ticks.length) + ), + bottom = gtable_col("axis", + grobs = list(ticks, labels), + width = one, + heights = unit.c(theme$axis.ticks.length, grobHeight(labels)) + ), + right = gtable_row("axis", + grobs = list(ticks, labels), + widths = unit.c(theme$axis.ticks.length, grobWidth(labels)), + height = one + ), + left = gtable_row("axis", + grobs = list(labels, ticks), + widths = unit.c(grobWidth(labels), theme$axis.ticks.length), + height = one + ) + ) + + # Viewport for justifying the axis grob + justvp <- switch(position, + top = viewport(y = 0, just = "bottom", height = gtable_height(gt)), + bottom = viewport(y = 1, just = "top", height = gtable_height(gt)), + right = viewport(x = 0, just = "left", width = gtable_width(gt)), + left = viewport(x = 1, just = "right", width = gtable_width(gt)) + ) + + absoluteGrob( + gList(line, gt), + width = gtable_width(gt), + height = gtable_height(gt), + vp = justvp + ) +} diff --git a/R/utils.r b/R/utils.r new file mode 100644 index 0000000..9020294 --- /dev/null +++ b/R/utils.r @@ -0,0 +1,67 @@ +"%||%" <- function(a, b) { + if (!is.null(a)) a else b +} + +"%|W|%" <- function(a, b) { + if (!is.waive(a)) a else b +} + +is.waive <- function(x) inherits(x, "waiver") + +# Compute central angle between two points. +# Multiple by radius of sphere to get great circle distance +# @arguments longitude +# @arguments latitude +dist_central_angle <- function(lon, lat) { + # Convert to radians + lat <- lat * pi / 180 + lon <- lon * pi / 180 + + hav <- function(x) sin(x / 2) ^ 2 + ahav <- function(x) 2 * asin(x) + + n <- length(lat) + ahav(sqrt(hav(diff(lat)) + cos(lat[-n]) * cos(lat[-1]) * hav(diff(lon)))) +} + + +expand_default <- function(scale, discrete = c(0, 0.6), continuous = c(0.05, 0)) { + scale$expand %|W|% if (scale$is_discrete()) discrete else continuous +} + + +# Col union +# Form the union of columns in a and b. If there are columns of the same name in both a and b, take the column from a. +# +# @param data frame a +# @param data frame b +# @keyword internal +cunion <- function(a, b) { + if (length(a) == 0) return(b) + if (length(b) == 0) return(a) + + cbind(a, b[setdiff(names(b), names(a))]) +} + +# Given a theme object and element name, return a grob for the element +element_render <- function(theme, element, ..., name = NULL) { + + # Get the element from the theme, calculating inheritance + el <- calc_element(element, theme) + if (is.null(el)) { + message("Theme element ", element, " missing") + return(zeroGrob()) + } + + ggname(paste(element, name, sep = "."), element_grob(el, ...)) +} + + +# Name ggplot grid object +# Convenience function to name grid objects +# +# @keyword internal +ggname <- function(prefix, grob) { + grob$name <- grobName(grob, prefix) + grob +} diff --git a/README.Rmd b/README.Rmd index 0158a42..a127f98 100644 --- a/README.Rmd +++ b/README.Rmd @@ -15,12 +15,11 @@ knitr::opts_chunk$set( ) ``` -`ggalt` : Extra Geoms, Stats and Coords for `ggplot2` +`ggalt` : Alternate/Extra 'Geoms', 'Stats' and 'Coords' for 'ggplot2' -A package containing additional geoms, coords and stats for the revamped (late 2015) version -of ggplot2. + A package containing additional/alternate 'geoms', 'coords' and 'stats' for use with the revamped (late 2015) version of ggplot2. -The first three forays into this brave, new `ggplot2` world are _splines_! and being able to use the (much better) `KernSmooth::bkde` and `KernSmooth::bkde2D` for density plots. +The first three forays into this brave, new `ggplot2` world are _splines_! and being able to use the (much better) `KernSmooth::bkde` and `KernSmooth::bkde2D` for density plots and an initial port of the (still needing work) `coord_proj`. *NOTE* @@ -28,6 +27,7 @@ Until the new `ggplot2` version is on CRAN, you'll need to install it from githu The following functions are implemented: +- `coord_proj` : Like `coord_map` only better `:-)` - `geom_xspline` : Connect control points/observations with an X-spline - `stat_xspline` : Connect control points/observations with an X-spline - `geom_bkde` : Display a smooth density estimate (uses `KernSmooth::bkde`) @@ -37,6 +37,7 @@ The following functions are implemented: ### News +- Version 0.0.3.9000 released - `coord_proj`! (requires my github copy of ggplot2 for now) - Version 0.0.2.9005 released - cleanup before blog post - Version 0.0.2.9002 released - working 2D density plots - Version 0.0.2.9000 released @@ -142,6 +143,18 @@ ggplot(geyser_dat, aes(x, y)) + ggplot(geyser_dat, aes(x, y)) + geom_point() + stat_bkde2d(bandwidth=c(0.7, 7)) + +### coord_proj LIVES! (still needs work) + +world <- map_data("world") +world <- world[world$region != "Antarctica",] + +gg <- ggplot() +gg <- gg + geom_map(data=world, map=world, + aes(x=long, y=lat, map_id=region)) +gg <- gg + coord_proj("+proj=wintri") +gg + ``` ### Test Results diff --git a/README.md b/README.md index 104a023..a34a6de 100644 --- a/README.md +++ b/README.md @@ -1,9 +1,9 @@ -`ggalt` : Extra Geoms, Stats and Coords for `ggplot2` +`ggalt` : Alternate/Extra 'Geoms', 'Stats' and 'Coords' for 'ggplot2' -A package containing additional geoms, coords and stats for the revamped (late 2015) version of ggplot2. +A package containing additional/alternate 'geoms', 'coords' and 'stats' for use with the revamped (late 2015) version of ggplot2. -The first three forays into this brave, new `ggplot2` world are *splines*! and being able to use the (much better) `KernSmooth::bkde` and `KernSmooth::bkde2D` for density plots. +The first three forays into this brave, new `ggplot2` world are *splines*! and being able to use the (much better) `KernSmooth::bkde` and `KernSmooth::bkde2D` for density plots and an initial port of the (still needing work) `coord_proj`. *NOTE* @@ -11,6 +11,7 @@ Until the new `ggplot2` version is on CRAN, you'll need to install it from githu The following functions are implemented: +- `coord_proj` : Like `coord_map` only better `:-)` - `geom_xspline` : Connect control points/observations with an X-spline - `stat_xspline` : Connect control points/observations with an X-spline - `geom_bkde` : Display a smooth density estimate (uses `KernSmooth::bkde`) @@ -20,6 +21,8 @@ The following functions are implemented: ### News +- Version 0.0.3.9000 released - `coord_proj`! (requires my github copy of ggplot2 for now) +- Version 0.0.2.9005 released - cleanup before blog post - Version 0.0.2.9002 released - working 2D density plots - Version 0.0.2.9000 released @@ -39,7 +42,7 @@ library(ggalt) # current verison packageVersion("ggalt") -#> [1] '0.0.2.9004' +#> [1] '0.0.3.9000' set.seed(1492) dat <- data.frame(x=c(1:10, 1:10, 1:10), @@ -207,6 +210,22 @@ ggplot(geyser_dat, aes(x, y)) + +``` r + +### coord_proj LIVES! (still needs work) + +world <- map_data("world") +world <- world[world$region != "Antarctica",] + +gg <- ggplot() +gg <- gg + geom_map(data=world, map=world, + aes(x=long, y=lat, map_id=region)) +gg <- gg + coord_proj("+proj=wintri") +gg +``` + + + ### Test Results ``` r @@ -214,7 +233,7 @@ library(ggalt) library(testthat) date() -#> [1] "Fri Sep 11 16:19:52 2015" +#> [1] "Fri Sep 11 18:14:16 2015" test_dir("tests/") #> testthat results ======================================================================================================== diff --git a/README_figs/README-unnamed-chunk-4-15.png b/README_figs/README-unnamed-chunk-4-15.png index 6b14a99ea0e11ed8b35b390489fffe997343bd8c..7ff8e8f9181d73619f18c431f803bec9f018d97e 100644 GIT binary patch literal 278538 zcmeFZWmuK%(gqBO0wPGG2ug!=Bem#m=|xI6(p}Qs-AJc&he|Ix77fx3(hc8@&))m> zdG_mfeE+^b?+=e-d2_8RX6BkX=bX7$kerMt%2T|jFfcGE;$lMYVPGEf!N5FfM|=W2 zIWZiYhJk@cF%cA$6BiUDl(VriG%+`Tfq54erle_%uY?6^vNa+h9aJ!9@v|%7MIl3p zQD(`iZuFd=XS0kKXPY73)IZxFOza(e$J}(AB`YlF#<-n=)zMbxMM!!2d=^wqANQ1O zW}J``RDIziw;7VRlf=cGWYSo%V6g9YoOY1zy5C@Q@OZPKNHsnR3l=B2j24$^*)|{| zkcT?bHy{)DNtTK{0kvkK6dao@vSW?o>Yp>jlVx5wJh= zl^_nVE>}@+c(=i?&vZBI82LKrUFw(gCcoQ)Ji<&2S80~V0v{_Wm0Huy&Rq?yHSj$f;^aDVj za4PX`!b@<*3=WI^H1sfeJ!shBc*$Q9VoduCX)%ePMOib!5<3TTOP|HyS7PcPTun)s z3u|$+LvNcyncwH72+wm=H)ZPFGgC=vC`^{npw{}6K;B+I)@-@y(yq|hqG6Y>U4EI? zs4{q|eYtbPbVhw+n)AbRRpqeGrW@SfR4Mg+*Id=sQ3=oD$qLTTk)+O`PJ(0W!&Q~% zA|CO*NgL%Sn%rtubf_XF36HN#FO^@)gb9_L_?!e()3i{yQ{Hy947m5X54aDyf7OJG z;)0~Dv@X$od}FKKb!K{u2VQi=aeh%}v=whwB0)rAj{O?P<{R6R{0F8Zif4#=0`gPd z@ufT0I2rWmJOrqEZ`Sj#HCpMEVS}zK;7+9Pl#~>=KE}Q!P_~kO*UFC>N-C%y8q215 zUaxYTMI0x)_TB_dflC3iuwtD5c|cX3L#74X^$o#9p=IU!?NPl2cQ~~%PRkvX0c=Of z(HLF4ayF{?{o&)F*oEN|AMW ziwAa45Z`?K4b^utr!11*T47c1=Gj# zUwi)dT39r&@WY=7z?@J1Bp%@C&;LEue@*lM_tE>F)*3w?uc)nM+uGfw$$UK$=SIq) z*Y#{`dpkNjJlxG3WZ~bQgOSMNTFd3h@FI47eO;X6UOWeE;!tko#UCyV zA0a((A=Wz?M#TO!LWdi^ugg}h_4U}q1X;%Q+=f21M9pT_qAqtlOfdop9?oV`)3Mif zh=&4@f2Gr*u3Cdlu7>Mg&GPZ(`$n9&Kg#d~gAxyx1s@f%cssw?8$#boX<$%j&o!YZ zlg|CNZq6p8`LOGir5)a@S8I3I2aaon`RUQKR&AP8R8*r}HmN9oJaZhMe0{s4qa%d( zc8s?-Mi#_Dg;xGeHT-fkp>?%mXrfpJ!gD@H(sp-RzGlRGokXKiFZbGYm+`WTy>%%q zp5srqFOnbbF}+u^WOSIb-(vGFATw*S6@9K|JsBemtigW7fRHWby{^;(QBr`J~4`Wiu^rUjwt|Dt+ zd~!Q2){ZMw$PbrrEa^6%tsO`kgNN$JAZ4;y%r~-5Th{(@gE3-+HRgOVQ(nE?r*SG; zZx7ryxD;eu^etZQFe0Ghf7CQKHWr(~wrWZsd}~5B@3d1|*B3=18ol2NsBtaXtW3Ny zA`Gnu3l^E^L)L4t&A7MA8WeAkF5EzjJD%i-e1z$I&dv?0HsYW+hZ?FrUg&`+W1U96 zu5fUINK*&Y*Qq}*U-bFYq6JDHSrEP4JI7J5fqP8rC6fW-aV{5~;)LpPa&gU1b7wIh zjw|FzS*J9+1YNh-hj2AoErP6AEiIwBadC0hv#Q>FY=~0{X1loNY%}ewM3E5q-ENM> z$p&tLYT8-&U7~m-I5aVt%$ywGd!pWvFW7M5Fl`m}=!6VRu%U4x>k7kkKS>$I`~3Eh z_wFzvx4fL*Bxa9OG~%`NUy|}R8OsZr-_g|6Oll;Z^yXVYOJvmZH!}mAUwnLgvk5zj zA737#6P=ocg~h)|Fw|)se_^ca)awpklWsDhgl7`Y%**Ri6IE|T{Uu~CX98EGhKM)3 zbXjtgtpeVq&O@3jTR3o=P6eI#dUVG)i&ZTxJced=BeRy;GbGZ?MuYecbv!ho>jJ#H zUw6Iu@Q|jS9}CqJgE)Bg%;Q zfL`%A5XmXyxuA|#pPP(-+slvMZ_=eDT$>ZK(ub3rB8|2pC7xV$=&1$#$q$l?0De&S zrh~a{zQxsXl-YSUfmS{K|6R~tFr56gDq7CDT;IPx=jC3NGW59VA&IEpqgE-yugpOC zchLNgOaE8QY+nUJcpBki2wkHX4vi{ddFxftoa3Uqwb6C2tOqfUufyHVWu?pMcD;Ma zKfn8*{m009k&0pJYrKC?{N{F3bgg#QGRE^Fz%vr%6!Gw zF&2@7X$Z@+wgy*5>$_p%-@!HdrW9dHnlMMYGT#@C@Ir>AQw2whX) zg9fwEfQIe*_K1KP#BQk+Ht7lO-up?mgOxDo4}s{oF5+m z@z6w~K!2P=9Es42yz`sLpCV!=8e$}T;eV#!n?b6stAilZHxsgDu$sk}s8)P4*pj~X zdq?z7jYv@e;aI#A()-Ir5H2F(^Ll99-5uO(c^rmli!r>wH}?<}^l>|i$%sv{Y!sJ} zw9b41{~hk{^LXP^v}0<7KSvwzc`!Nee)Op}&$i|@TC1px+g&5;<@}l-tGzKtx%BSh zpqr)VlG@tZ>v*026^V5O0K7@z8{zY7H<@yXC+Fu7QP2@OBf4GA)>ni#v0VH0dO1|P zzn1w8RC?nR1Mo-ChhO1Wa3^$y-)}kqO*h(`NuXQ|I<}GkNZ{>6F2>)t4U4Fs06-px zOI!P2lI=l$1_jN}0j&a~c8++P9im(cM^ex{!{i%Li;T-Q0xnB?~Y;n=1Gfd%28up}B?Y)_ni zI?DWCQp7^@?hL_&46rY9n?^{H-gbN5h#p?LeTL@#L(PD^G5~peWtp z!ke2P2uHhBLlWxhDgDW;lF(9hiZ|C&-TH&69MfimD*pd*Wq(Q7n-LR0v&>AWzfvx5 z0ScW%o}fdu&CgQze}i}4x

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