zrender/lib/core/fourPointsTransform.js

var LN2 = Math.log(2);
function determinant(rows, rank, rowStart, rowMask, colMask, detCache) {
    var cacheKey = rowMask + '-' + colMask;
    var fullRank = rows.length;
    if (detCache.hasOwnProperty(cacheKey)) {
        return detCache[cacheKey];
    }
    if (rank === 1) {
        var colStart = Math.round(Math.log(((1 << fullRank) - 1) & ~colMask) / LN2);
        return rows[rowStart][colStart];
    }
    var subRowMask = rowMask | (1 << rowStart);
    var subRowStart = rowStart + 1;
    while (rowMask & (1 << subRowStart)) {
        subRowStart++;
    }
    var sum = 0;
    for (var j = 0, colLocalIdx = 0; j < fullRank; j++) {
        var colTag = 1 << j;
        if (!(colTag & colMask)) {
            sum += (colLocalIdx % 2 ? -1 : 1) * rows[rowStart][j]
                * determinant(rows, rank - 1, subRowStart, subRowMask, colMask | colTag, detCache);
            colLocalIdx++;
        }
    }
    detCache[cacheKey] = sum;
    return sum;
}
export function buildTransformer(src, dest) {
    var mA = [
        [src[0], src[1], 1, 0, 0, 0, -dest[0] * src[0], -dest[0] * src[1]],
        [0, 0, 0, src[0], src[1], 1, -dest[1] * src[0], -dest[1] * src[1]],
        [src[2], src[3], 1, 0, 0, 0, -dest[2] * src[2], -dest[2] * src[3]],
        [0, 0, 0, src[2], src[3], 1, -dest[3] * src[2], -dest[3] * src[3]],
        [src[4], src[5], 1, 0, 0, 0, -dest[4] * src[4], -dest[4] * src[5]],
        [0, 0, 0, src[4], src[5], 1, -dest[5] * src[4], -dest[5] * src[5]],
        [src[6], src[7], 1, 0, 0, 0, -dest[6] * src[6], -dest[6] * src[7]],
        [0, 0, 0, src[6], src[7], 1, -dest[7] * src[6], -dest[7] * src[7]]
    ];
    var detCache = {};
    var det = determinant(mA, 8, 0, 0, 0, detCache);
    if (det === 0) {
        return;
    }
    var vh = [];
    for (var i = 0; i < 8; i++) {
        for (var j = 0; j < 8; j++) {
            vh[j] == null && (vh[j] = 0);
            vh[j] += ((i + j) % 2 ? -1 : 1)
                * determinant(mA, 7, i === 0 ? 1 : 0, 1 << i, 1 << j, detCache)
                / det * dest[i];
        }
    }
    return function (out, srcPointX, srcPointY) {
        var pk = srcPointX * vh[6] + srcPointY * vh[7] + 1;
        out[0] = (srcPointX * vh[0] + srcPointY * vh[1] + vh[2]) / pk;
        out[1] = (srcPointX * vh[3] + srcPointY * vh[4] + vh[5]) / pk;
    };
}