/**
 * Copyright (c) 2019 mol* contributors, licensed under MIT, See LICENSE file for more info.
 *
 * @author Alexander Rose <alexander.rose@weirdbyte.de>
 */

import { createPrimitive, Primitive } from './primitive';
import { Cage, createCage } from './cage';

const t = (1 + Math.sqrt(5)) / 2;

const a = 1;
const b = 1 / t;
const c = 2 - t;

export const dodecahedronVertices: ReadonlyArray<number> = [
    c, 0, a,    -c, 0, a,    -b, b, b,    0, a, c,     b, b, b,
    b, -b, b,    0, -a, c,   -b, -b, b,   c, 0, -a,   -c, 0, -a,
    -b, -b, -b,   0, -a, -c,   b, -b, -b,  b,  b, -b,   0, a, -c,
    -b, b, -b,    a, c, 0,    -a, c, 0,   -a, -c, 0,    a, -c, 0
];

/** indices of pentagonal faces, groups of five  */
export const dodecahedronFaces: ReadonlyArray<number> = [
    4, 3, 2, 1, 0,
    7, 6, 5, 0, 1,
    12, 11, 10, 9, 8,
    15, 14, 13, 8, 9,
    14, 3, 4, 16, 13,
    3, 14, 15, 17, 2,
    11, 6, 7, 18, 10,
    6, 11, 12, 19, 5,
    4, 0, 5, 19, 16,
    12, 8, 13, 16, 19,
    15, 9, 10, 18, 17,
    7, 1, 2, 17, 18
];

const dodecahedronIndices: ReadonlyArray<number> = [  // pentagonal faces
    4, 3, 2,     2, 1, 0,     4, 2, 0,    // 4, 3, 2, 1, 0
    7, 6, 5,     5, 0, 1,     7, 5, 1,    // 7, 6, 5, 0, 1
    12, 11, 10,  10, 9, 8,    12, 10, 8,   // 12, 11, 10, 9, 8
    15, 14, 13,  13, 8, 9,    15, 13, 9,   // 15, 14, 13, 8, 9
    14, 3, 4,     4, 16, 13,  14, 4, 13,   // 14, 3, 4, 16, 13
    3, 14, 15,   15, 17, 2,   3, 15, 2,   // 3, 14, 15, 17, 2
    11, 6, 7,     7, 18, 10,  11, 7, 10,   // 11, 6, 7, 18, 10
    6, 11, 12,  12, 19, 5,    6, 12, 5,   // 6, 11, 12, 19, 5
    4, 0, 5,     5, 19, 16,   4, 5, 16,   // 4, 0, 5, 19, 16
    12, 8, 13,   13, 16, 19,  12, 13, 19,  // 12, 8, 13, 16, 19
    15, 9, 10,   10, 18, 17,  15, 10, 17,  // 15, 9, 10, 18, 17
    7, 1, 2,     2, 17, 18,   7, 2, 18,   // 7, 1, 2, 17, 18
];

const dodecahedronEdges: ReadonlyArray<number> = [
    0, 1,   0, 4,    0, 5,    1, 2,    1, 7,    2, 3,    2, 17,   3, 4,    3, 14,   4, 16,
    5, 6,   5, 19,   6, 7,    6, 11,   7, 18,   8, 9,    8, 12,   8, 13,   9, 10,   9, 15,
    10, 11, 10, 18,  11, 12,  12, 19,  13, 14,  13, 16,  14, 15,  15, 17,  16, 19,  17, 18,
]

let dodecahedron: Primitive
export function Dodecahedron(): Primitive {
    if (!dodecahedron) dodecahedron = createPrimitive(dodecahedronVertices, dodecahedronIndices)
    return dodecahedron
}

const dodecahedronCage = createCage(dodecahedronVertices, dodecahedronEdges)
export function DodecahedronCage(): Cage {
    return dodecahedronCage
}