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Making Graphs

Scales

Scales are functions that map from an input domain to an output range

Linear Scales

Linear scales have equal division for equal values. We input a svg to grid and scale it down to fit the demensions so it doesn't run off the screen. Consider the following:

const y = d3.scaleLinear()
	.domain([0, 828])
    	.range([0, 400])
    
console.log(y(100)) // 48.3
console.log(y(828)) // 400
console.log(y(414)) // 200

console.log(y.invert(48.3)) // 100
console.log(y.invert(400)) // 414
console.log(y.invert(200)) // 428

One of the most common types of linear scales is a time scale. The input is a JS Date Object and the output is a number. Keep in mind months are indexed starting at 0.

const x = d3.scaleTime()
	.domain([
    		new Date(2000,0,1),
            	new Date(2001, 0, 1)
            ])
            .range([0, 400])
            
            
console.log(x(new Date(2000, 7, 1)) // 199

console.log(x.invert(199)) // Tue Aug 01 2000

Logaritmic Scales for Diverging Data

Often data sets that grow over time will grow exponentially, such as population. In these cases we would need to use a log scale.

Performing a log scale on a dataset will change the difference between points in a data set to be even (linear).

Remember: You cannot take the log of 0. So never use log on a dataset where the domain passes through 0.

Consider the following:

const y = d3.scaleLog()
	.domain([300, 1500000])
    	.range([0, 400])
        .base(10)
    
console.log(y(500)) // 32.9
console.log(y(5000)) // 181.1
console.log(y(50000)) // 329.3

console.log(y.invert(32.9)) // 500
console.log(y.invert(181.1)) // 5000
console.log(y.invert(329.3)) // 50000

Ordinal Scales

For assigning color schemes to categorical data. If there are more items in the domain than the range then the array loops back around from the start. There are also pre-build color schemes. 

const color = d3.scaleOrdinal()
	.domain([
    	"AFRICA", "ASIA"
    ])
    
    .range([
    	"RED", "BLUE", "GREEN"
    ])
    // Alternatively
    //.range(d3.schemeCategory10)
    
    
console.log("AFRICA") // "RED"
console.log("ASIA") // "BLUE"
console.log("EUROPE") // "GREEN"
console.log("PANGEA") // "RED"

It is not possible to take the invert of a ordinal scale.

Band Scales

Discrete Domain, Continous Range Band scale are almost exlusively used to space out different categories in a bar chart. The scale splits up the range into bands of equal length based on the number of elements in the array. We give the scale an array of categories as a domain and a min and max values for the range. Also a ratio between 0 and 1 for the inner and outer padding needs to be provided, which defines how thick the bars should be. A padding ratio of 0 means no spacing between bars.

If we call a value that doesn't exist in the domain the scale returns undefined.

const x = d3.scaleBand()
	.domain([
    	"AFRICA", "N. AMERICA",
        "EUROPE", "S. AMERICA",
        "ASIA", "AUSTRALIA"
	 ])
     .range([0, 400])
     .paddingInner(0.3)
     .paddingOuter(0.2)

console.log(x("S. AMERICA")) // 209
console.log(x("AUSTRALASIA")) // 341
console.log(x("AFRICA")) // 13.1

console.log(x.bandwidth()) // 45.9
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