Created
December 12, 2019 00:46
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Animated supply and demand graph
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library(tidyverse) | |
library(Hmisc) | |
library(gganimate) | |
library(tweenr) | |
curve_intersect <- function(c1x, c1y, c2x, c2y, empirical=TRUE, domain=NULL) { | |
curve1 <- data.frame(x = c1x, y = c1y) | |
curve2 <- data.frame(x = c2x, y = c2y) | |
if (!empirical & missing(domain)) { | |
stop("'domain' must be provided with non-empirical curves") | |
} | |
if (!empirical & (length(domain) != 2 | !is.numeric(domain))) { | |
stop("'domain' must be a two-value numeric vector, like c(0, 10)") | |
} | |
if (empirical) { | |
# Approximate the functional form of both curves | |
curve1_f <- approxfun(curve1$x, curve1$y, rule = 2) | |
curve2_f <- approxfun(curve2$x, curve2$y, rule = 2) | |
# Calculate the intersection of curve 1 and curve 2 along the x-axis | |
point_x <- uniroot(function(x) curve1_f(x) - curve2_f(x), | |
c(min(curve1$x), max(curve1$x)))$root | |
# Find where point_x is in curve 2 | |
point_y <- curve2_f(point_x) | |
} else { | |
# Calculate the intersection of curve 1 and curve 2 along the x-axis | |
# within the given domain | |
point_x <- uniroot(function(x) curve1(x) - curve2(x), domain)$root | |
# Find where point_x is in curve 2 | |
point_y <- curve2(point_x) | |
} | |
return(list(x = point_x, y = point_y)) | |
} | |
s <- bind_rows(data.frame(bezier(c(1, 1.8, 2), c(3, 3.5, 4)), | |
t = 1, | |
point = 1:100), | |
data.frame(bezier(c(1.5, 2.3, 2.5), c(3, 3.5, 4)), | |
t = 2, | |
point = 1:100)) %>% | |
rename(xs = x, ys = y) | |
d <- data.frame(bezier(c(1,1.3,2), c(4, 3.5, 3)), point = 1:100, t = 1) %>% | |
rename(xd = x, yd = y) | |
s_frames <- s %>% | |
tween_along(ease = 'sine-in-out', 100, along = t, id = point) %>% | |
filter(.phase == "transition") %>% | |
select(xs, ys, point, .frame) %>% | |
arrange(.frame, point) # arrange by point needed to keep in order | |
d_frames <- d %>% | |
bind_rows(d %>% mutate(t = 2)) %>% | |
tween_along(ease = 'sine-in-out', 100, along = t, id = point) %>% | |
filter(.phase == "transition") %>% | |
select(xd, yd, point, .frame) %>% | |
arrange(.frame, point) | |
data <- s_frames %>% | |
left_join(d_frames, by = c(".frame", "point")) %>% | |
group_by(.frame) %>% | |
mutate(xe = curve_intersect(xs,ys,xd,yd)$x, | |
ye = curve_intersect(xs,ys,xd,yd)$y) | |
p <- ggplot(data, aes(x = xs, y = ys)) + geom_path(size = 1.25, color = 'red') + | |
geom_path(aes(x=xd,y=yd), size = 1.25, color = 'blue')+ | |
geom_point(aes(x = xe,y = ye), | |
size = 5, | |
color = 'black') + | |
labs(x = "Q", | |
y = "P", | |
title = "A Rightward Shift in Supply")+ | |
expand_limits(y = c(2.9, 4.1))+ | |
transition_states(.frame)+ | |
ease_aes('sine-in-out') + | |
theme_light()+ | |
theme(axis.title.y = element_text(hjust=1,angle = 90, size = 20), | |
axis.title.x = element_text(hjust = 1, size = 20)) | |
animate(p, fps = 24) |
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