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29 lines
1.5 KiB
29 lines
1.5 KiB
2 years ago
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import { CommandA, CommandC } from "./types";
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export declare function rotate([x, y]: [number, number], rad: number): number[];
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export declare function assertNumbers(...numbers: number[]): boolean;
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/**
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* https://www.w3.org/TR/SVG/implnote.html#ArcImplementationNotes
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* Fixes rX and rY.
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* Ensures lArcFlag and sweepFlag are 0 or 1
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* Adds center coordinates: command.cX, command.cY (relative or absolute, depending on command.relative)
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* Adds start and end arc parameters (in degrees): command.phi1, command.phi2; phi1 < phi2 iff. c.sweepFlag == true
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*/
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export declare function annotateArcCommand(c: CommandA, x1: number, y1: number): void;
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/**
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* Solves a quadratic system of equations of the form
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* a * x + b * y = c
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* x² + y² = 1
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* This can be understood as the intersection of the unit circle with a line.
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* => y = (c - a x) / b
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* => x² + (c - a x)² / b² = 1
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* => x² b² + c² - 2 c a x + a² x² = b²
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* => (a² + b²) x² - 2 a c x + (c² - b²) = 0
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*/
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export declare function intersectionUnitCircleLine(a: number, b: number, c: number): [number, number][];
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export declare const DEG: number;
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export declare function lerp(a: number, b: number, t: number): number;
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export declare function arcAt(c: number, x1: number, x2: number, phiDeg: number): number;
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export declare function bezierRoot(x0: number, x1: number, x2: number, x3: number): number[];
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export declare function bezierAt(x0: number, x1: number, x2: number, x3: number, t: number): number;
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export declare function a2c(arc: CommandA, x0: number, y0: number): CommandC[];
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