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import * as colorSpaces from '../util/color_spaces';
import Color from '../util/color';
import extend from '../util/extend';
import getType from '../util/get_type';
import * as interpolate from '../util/interpolate';
import Interpolate from '../expression/definitions/interpolate';
import Formatted from '../expression/types/formatted';
import ResolvedImage from '../expression/types/resolved_image';
import {supportsInterpolation} from '../util/properties';
import {findStopLessThanOrEqualTo} from '../expression/stops';
export function isFunction(value) {
return typeof value === 'object' && value !== null && !Array.isArray(value);
}
function identityFunction(x) {
return x;
}
export function createFunction(parameters, propertySpec) {
const isColor = propertySpec.type === 'color';
const zoomAndFeatureDependent = parameters.stops && typeof parameters.stops[0][0] === 'object';
const featureDependent = zoomAndFeatureDependent || parameters.property !== undefined;
const zoomDependent = zoomAndFeatureDependent || !featureDependent;
const type = parameters.type || (supportsInterpolation(propertySpec) ? 'exponential' : 'interval');
if (isColor) {
parameters = extend({}, parameters);
if (parameters.stops) {
parameters.stops = parameters.stops.map((stop) => {
return [stop[0], Color.parse(stop[1])];
});
}
if (parameters.default) {
parameters.default = Color.parse(parameters.default);
} else {
parameters.default = Color.parse(propertySpec.default);
}
}
if (parameters.colorSpace && parameters.colorSpace !== 'rgb' && !colorSpaces[parameters.colorSpace]) { // eslint-disable-line import/namespace
throw new Error(`Unknown color space: ${parameters.colorSpace}`);
}
let innerFun;
let hashedStops;
let categoricalKeyType;
if (type === 'exponential') {
innerFun = evaluateExponentialFunction;
} else if (type === 'interval') {
innerFun = evaluateIntervalFunction;
} else if (type === 'categorical') {
innerFun = evaluateCategoricalFunction;
// For categorical functions, generate an Object as a hashmap of the stops for fast searching
hashedStops = Object.create(null);
for (const stop of parameters.stops) {
hashedStops[stop[0]] = stop[1];
}
// Infer key type based on first stop key-- used to encforce strict type checking later
categoricalKeyType = typeof parameters.stops[0][0];
} else if (type === 'identity') {
innerFun = evaluateIdentityFunction;
} else {
throw new Error(`Unknown function type "${type}"`);
}
if (zoomAndFeatureDependent) {
const featureFunctions = {};
const zoomStops = [];
for (let s = 0; s < parameters.stops.length; s++) {
const stop = parameters.stops[s];
const zoom = stop[0].zoom;
if (featureFunctions[zoom] === undefined) {
featureFunctions[zoom] = {
zoom,
type: parameters.type,
property: parameters.property,
default: parameters.default,
stops: []
};
zoomStops.push(zoom);
}
featureFunctions[zoom].stops.push([stop[0].value, stop[1]]);
}
const featureFunctionStops = [];
for (const z of zoomStops) {
featureFunctionStops.push([featureFunctions[z].zoom, createFunction(featureFunctions[z], propertySpec)]);
}
const interpolationType = {name: 'linear'};
return {
kind: 'composite',
interpolationType,
interpolationFactor: Interpolate.interpolationFactor.bind(undefined, interpolationType),
zoomStops: featureFunctionStops.map(s => s[0]),
evaluate({zoom}, properties) {
return evaluateExponentialFunction({
stops: featureFunctionStops,
base: parameters.base
}, propertySpec, zoom).evaluate(zoom, properties);
}
};
} else if (zoomDependent) {
const interpolationType = type === 'exponential' ?
{name: 'exponential', base: parameters.base !== undefined ? parameters.base : 1} : null;
return {
kind: 'camera',
interpolationType,
interpolationFactor: Interpolate.interpolationFactor.bind(undefined, interpolationType),
zoomStops: parameters.stops.map(s => s[0]),
evaluate: ({zoom}) => innerFun(parameters, propertySpec, zoom, hashedStops, categoricalKeyType)
};
} else {
return {
kind: 'source',
evaluate(_, feature) {
const value = feature && feature.properties ? feature.properties[parameters.property] : undefined;
if (value === undefined) {
return coalesce(parameters.default, propertySpec.default);
}
return innerFun(parameters, propertySpec, value, hashedStops, categoricalKeyType);
}
};
}
}
function coalesce(a, b, c) {
if (a !== undefined) return a;
if (b !== undefined) return b;
if (c !== undefined) return c;
}
function evaluateCategoricalFunction(parameters, propertySpec, input, hashedStops, keyType) {
const evaluated = typeof input === keyType ? hashedStops[input] : undefined; // Enforce strict typing on input
return coalesce(evaluated, parameters.default, propertySpec.default);
}
function evaluateIntervalFunction(parameters, propertySpec, input) {
// Edge cases
if (getType(input) !== 'number') return coalesce(parameters.default, propertySpec.default);
const n = parameters.stops.length;
if (n === 1) return parameters.stops[0][1];
if (input <= parameters.stops[0][0]) return parameters.stops[0][1];
if (input >= parameters.stops[n - 1][0]) return parameters.stops[n - 1][1];
const index = findStopLessThanOrEqualTo(parameters.stops.map((stop) => stop[0]), input);
return parameters.stops[index][1];
}
function evaluateExponentialFunction(parameters, propertySpec, input) {
const base = parameters.base !== undefined ? parameters.base : 1;
// Edge cases
if (getType(input) !== 'number') return coalesce(parameters.default, propertySpec.default);
const n = parameters.stops.length;
if (n === 1) return parameters.stops[0][1];
if (input <= parameters.stops[0][0]) return parameters.stops[0][1];
if (input >= parameters.stops[n - 1][0]) return parameters.stops[n - 1][1];
const index = findStopLessThanOrEqualTo(parameters.stops.map((stop) => stop[0]), input);
const t = interpolationFactor(
input, base,
parameters.stops[index][0],
parameters.stops[index + 1][0]);
const outputLower = parameters.stops[index][1];
const outputUpper = parameters.stops[index + 1][1];
let interp = interpolate[propertySpec.type] || identityFunction; // eslint-disable-line import/namespace
if (parameters.colorSpace && parameters.colorSpace !== 'rgb') {
const colorspace = colorSpaces[parameters.colorSpace]; // eslint-disable-line import/namespace
interp = (a, b) => colorspace.reverse(colorspace.interpolate(colorspace.forward(a), colorspace.forward(b), t));
}
if (typeof outputLower.evaluate === 'function') {
return {
evaluate(...args) {
const evaluatedLower = outputLower.evaluate.apply(undefined, args);
const evaluatedUpper = outputUpper.evaluate.apply(undefined, args);
// Special case for fill-outline-color, which has no spec default.
if (evaluatedLower === undefined || evaluatedUpper === undefined) {
return undefined;
}
return interp(evaluatedLower, evaluatedUpper, t);
}
};
}
return interp(outputLower, outputUpper, t);
}
function evaluateIdentityFunction(parameters, propertySpec, input) {
if (propertySpec.type === 'color') {
input = Color.parse(input);
} else if (propertySpec.type === 'formatted') {
input = Formatted.fromString(input.toString());
} else if (propertySpec.type === 'resolvedImage') {
input = ResolvedImage.fromString(input.toString());
} else if (getType(input) !== propertySpec.type && (propertySpec.type !== 'enum' || !propertySpec.values[input])) {
input = undefined;
}
return coalesce(input, parameters.default, propertySpec.default);
}
/**
* Returns a ratio that can be used to interpolate between exponential function
* stops.
*
* How it works:
* Two consecutive stop values define a (scaled and shifted) exponential
* function `f(x) = a * base^x + b`, where `base` is the user-specified base,
* and `a` and `b` are constants affording sufficient degrees of freedom to fit
* the function to the given stops.
*
* Here's a bit of algebra that lets us compute `f(x)` directly from the stop
* values without explicitly solving for `a` and `b`:
*
* First stop value: `f(x0) = y0 = a * base^x0 + b`
* Second stop value: `f(x1) = y1 = a * base^x1 + b`
* => `y1 - y0 = a(base^x1 - base^x0)`
* => `a = (y1 - y0)/(base^x1 - base^x0)`
*
* Desired value: `f(x) = y = a * base^x + b`
* => `f(x) = y0 + a * (base^x - base^x0)`
*
* From the above, we can replace the `a` in `a * (base^x - base^x0)` and do a
* little algebra:
* ```
* a * (base^x - base^x0) = (y1 - y0)/(base^x1 - base^x0) * (base^x - base^x0)
* = (y1 - y0) * (base^x - base^x0) / (base^x1 - base^x0)
* ```
*
* If we let `(base^x - base^x0) / (base^x1 base^x0)`, then we have
* `f(x) = y0 + (y1 - y0) * ratio`. In other words, `ratio` may be treated as
* an interpolation factor between the two stops' output values.
*
* (Note: a slightly different form for `ratio`,
* `(base^(x-x0) - 1) / (base^(x1-x0) - 1) `, is equivalent, but requires fewer
* expensive `Math.pow()` operations.)
*
* @private
*/
function interpolationFactor(input, base, lowerValue, upperValue) {
const difference = upperValue - lowerValue;
const progress = input - lowerValue;
if (difference === 0) {
return 0;
} else if (base === 1) {
return progress / difference;
} else {
return (Math.pow(base, progress) - 1) / (Math.pow(base, difference) - 1);
}
}