chapter 4

library(mosaicCalc)

## Loading required package: mosaic

## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2

## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.

## 
## Attaching package: 'mosaic'

## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally

## The following object is masked from 'package:Matrix':
## 
##     mean

## The following object is masked from 'package:ggplot2':
## 
##     stat

## The following objects are masked from 'package:stats':
## 
##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var

## The following objects are masked from 'package:base':
## 
##     max, mean, min, prod, range, sample, sum

## Loading required package: mosaicCore

## 
## Attaching package: 'mosaicCore'

## The following objects are masked from 'package:dplyr':
## 
##     count, tally

## 
## Attaching package: 'mosaicCalc'

## The following object is masked from 'package:stats':
## 
##     D

g <- makeFun(sin(x^2)*cos(sqrt(x^4 + 3 )-x^2) - x + 1 ~ x)
slice_plot(g(x) ~ x, domain(x = -3:3)) %>%
  gf_hline(yintercept  = 0, color = "red")

slice_plot(g(x) ~ x, domain(x=1:2)) %>%
  gf_hline(yintercept = 0, color = "red")

findZeros(g(x) ~ x, xlim = range(1, 2))

##        x
## 1 1.5576

findZeros(g(x) ~ x, xlim = range(-1000,  1000))

##        x
## 1 1.5576

findZeros( sin(x) - 0.35 ~ x, xlim=range(-20,20) )

##           x
## 1  -12.2088
## 2   -9.7823
## 3   -5.9256
## 4   -3.4991
## 5    0.3576
## 6    2.7840
## 7    6.6407
## 8    9.0672
## 9   12.9239
## 10  15.3504

gf_point(height ~ age, data=datasets::Loblolly)

Cherry <- datasets::trees
gf_point(Volume ~ Girth, data = Cherry)

g5 <- smoother(Volume ~ Girth+Height, 
               data = Cherry, span = 1.0)
gf_point(Height ~ Girth, data = Cherry) %>%
  contour_plot(g5(Girth, Height) ~ Girth + Height) %>%
  gf_labs(x = "Girth (inches)", 
          y = "Height (ft)", 
          title = "Volume (ft^3)")

findZeros( 3*exp(-t/5)*sin(pi*t) ~ t, xlim=range(1,10))

##    t
## 1  0
## 2  1
## 3  2
## 4  3
## 5  4
## 6  5
## 7  6
## 8  7
## 9  8
## 10 9