import React , { useMemo } from "react" ; import { triangleArea , Vector2 } from "../../math" ; import { Stroked } from "../../display/Theme" ; import { useScaleContext } from "../../view/ScaleContext" ; export interface ParametricProps extends Stroked { xy : ( t : number ) => Vector2 ; t : [ number , number ] ; color ? : string ; style ? : "solid" | "dashed" ; /**
     * How deep the interpolation algorithm will go in terms of subdividing the function to find
     * points that minimize the jaggedness of the function. Defaults to 8.
     *
     * Most functions will not need to override this. It's mainly to support functions that are
     * very jagged.
     *
     * This value affects performance exponentially, O(2^n). The default value is 8, meaning functions
     * will be subdivided into at least 256 points. For any three consecutive points, if the area of
     * the triangle formed by those points is larger than 0.1 square pixels, the points will be
     * further, recursively subdivided.
     */ minimumSamplingDepth ? : number ; deprecated samples ? : never ; svgPathProps ? : React . SVGProps < SVGPathElement > ; } const ParametricFunction = ( { xy , t , color , style = "solid" , weight = 2 , opacity = 1.0 , minimumSamplingDepth = 8 , svgPathProps = { } , } ) => { const { cssScale , scaleX , scaleY } = useScaleContext ( ) ; const [ tMin , tMax ] = t ; const areaThreshold = - 0.1 / ( scaleX ( 1 ) * scaleY ( 1 ) ) ; const svgPath = useMemo ( ( ) => { let pathDescriptor = "M " ; function smartSmooth ( min , max , pushLeft , pushRight , depth = 0 ) { const mid = ( min + max ) / 2 ; const xyMin = xy ( min ) ; const xyMid = xy ( mid ) ; const xyMax = xy ( max ) ; const area = triangleArea ( xyMin , xyMid , xyMax ) ; if ( depth < minimumSamplingDepth || area > areaThreshold ) { smartSmooth ( min , mid , true , false , depth + 1 ) ; smartSmooth ( mid , max , false , true , depth + 1 ) ; } else { if ( pushLeft ) pathDescriptor += `${ xyMin [ 0 ] } ${ xyMin [ 1 ] } L ` ; pathDescriptor += `${ xyMid [ 0 ] } ${ xyMid [ 1 ] } L ` ; if ( pushRight ) pathDescriptor += `${ xyMax [ 0 ] } ${ xyMax [ 1 ] } L ` ; } } smartSmooth ( tMin , tMax , true , true ) ; return pathDescriptor . substring ( 0 , pathDescriptor . length - 3 ) ; } , [ tMin , tMax , xy , areaThreshold ] ) ; return ( < path d = { svgPath } strokeWidth = { weight } fill = "none" strokeLinecap = "round" strokeLinejoin = "round" strokeDasharray = { style === "dashed" ? "1,10" : undefined } transform = { cssScale } { ... svgPathProps } style = { { stroke : color || "var(--mafs-fg)" , strokeOpacity : opacity , vectorEffect : "non-scaling-stroke" , ... ( svgPathProps . style || { } ) , } } />); } ; export default ParametricFunction ;