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galois-field-test.js
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import { len, GaloisField } from "../simple-implementations/galois-field.js";
describe("galios-field", () => {
describe("add", () => {
it("should add", () => {
const gf = new GaloisField();
expect(gf.add(5,6)).toBe(3);
});
});
describe("sub", () => {
it("should subtract", () => {
const gf = new GaloisField();
expect(gf.sub(5, 6)).toBe(3);
});
});
describe("len", () => {
it("should get length", () => {
expect(len(42)).toBe(6);
});
});
describe("_mul", () => {
it("should internal multiply, no mod", () => {
const gf = new GaloisField(256, 0);
expect(gf._mul(137, 42)).toBe(5242);
});
it("should internal multiply, with mod", () => {
const gf = new GaloisField();
expect(gf._mul(137, 42)).toBe(195);
});
});
describe("mul", () => {
it("should multiply with lookup", () => {
const gf = new GaloisField();
expect(gf.mul(137, 42)).toBe(195);
});
});
describe("div", () => {
it("should divide with lookup", () => {
const gf = new GaloisField();
expect(gf.div(195, 42)).toBe(137);
expect(gf.div(195, 137)).toBe(42);
});
});
describe("pow", () => {
it("should get power with lookup", () => {
const gf = new GaloisField();
expect(gf.pow(2, 4)).toBe(16);
expect(gf.pow(2, 10)).toBe(116);
});
});
describe("buildTables", () => {
it("should build correct table for 256", () => {
const gf = new GaloisField();
expect(gf.expTable.slice(0, 256)).toEqual(
[1, 2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163, 91, 182, 113, 226, 217, 175, 67, 134, 17, 34, 68, 136, 13, 26, 52, 104, 208, 189, 103, 206, 129, 31, 62, 124, 248, 237, 199, 147, 59, 118, 236, 197, 151, 51, 102, 204, 133, 23, 46, 92, 184, 109, 218, 169, 79, 158, 33, 66, 132, 21, 42, 84, 168, 77, 154, 41, 82, 164, 85, 170, 73, 146, 57, 114, 228, 213, 183, 115, 230, 209, 191, 99, 198, 145, 63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227, 219, 171, 75, 150, 49, 98, 196, 149, 55, 110, 220, 165, 87, 174, 65, 130, 25, 50, 100, 200, 141, 7, 14, 28, 56, 112, 224, 221, 167, 83, 166, 81, 162, 89, 178, 121, 242, 249, 239, 195, 155, 43, 86, 172, 69, 138, 9, 18, 36, 72, 144, 61, 122, 244, 245, 247, 243, 251, 235, 203, 139, 11, 22, 44, 88, 176, 125, 250, 233, 207, 131, 27, 54, 108, 216, 173, 71, 142, 1]
);
expect(gf.logTable).toEqual(
[undefined, 0, 1, 25, 2, 50, 26, 198, 3, 223, 51, 238, 27, 104, 199, 75, 4, 100, 224, 14, 52, 141, 239, 129, 28, 193, 105, 248, 200, 8, 76, 113, 5, 138, 101, 47, 225, 36, 15, 33, 53, 147, 142, 218, 240, 18, 130, 69, 29, 181, 194, 125, 106, 39, 249, 185, 201, 154, 9, 120, 77, 228, 114, 166, 6, 191, 139, 98, 102, 221, 48, 253, 226, 152, 37, 179, 16, 145, 34, 136, 54, 208, 148, 206, 143, 150, 219, 189, 241, 210, 19, 92, 131, 56, 70, 64, 30, 66, 182, 163, 195, 72, 126, 110, 107, 58, 40, 84, 250, 133, 186, 61, 202, 94, 155, 159, 10, 21, 121, 43, 78, 212, 229, 172, 115, 243, 167, 87, 7, 112, 192, 247, 140, 128, 99, 13, 103, 74, 222, 237, 49, 197, 254, 24, 227, 165, 153, 119, 38, 184, 180, 124, 17, 68, 146, 217, 35, 32, 137, 46, 55, 63, 209, 91, 149, 188, 207, 205, 144, 135, 151, 178, 220, 252, 190, 97, 242, 86, 211, 171, 20, 42, 93, 158, 132, 60, 57, 83, 71, 109, 65, 162, 31, 45, 67, 216, 183, 123, 164, 118, 196, 23, 73, 236, 127, 12, 111, 246, 108, 161, 59, 82, 41, 157, 85, 170, 251, 96, 134, 177, 187, 204, 62, 90, 203, 89, 95, 176, 156, 169, 160, 81, 11, 245, 22, 235, 122, 117, 44, 215, 79, 174, 213, 233, 230, 231, 173, 232, 116, 214, 244, 234, 168, 80, 88, 175]
);
})
});
describe("getGeneratorPoly", () => {
it("should get generator poly", () => {
const gf = new GaloisField();
expect(gf.getGeneratorPoly(2)).toEqual([
1, 3, 2
]);
expect(gf.getGeneratorPoly(4)).toEqual([
1,15,54,120,64
]);
expect(gf.getGeneratorPoly(7)).toEqual([
1, 127, 122, 154, 164, 11, 68, 117
]);
expect(gf.getGeneratorPoly(8)).toEqual([
1, 255, 11, 81, 54, 239, 173, 200, 24
]);
});
it("Should get generator poly > 8", () => {
const gf = new GaloisField();
expect(gf.getGeneratorPoly(9)).toEqual([
1, 226, 207, 158, 245, 235, 164, 232, 197, 37
]);
expect(gf.getGeneratorPoly(10)).toEqual([
1, 216, 194, 159, 111, 199, 94, 95, 113, 157, 193
]);
})
});
describe("polyDiv", () => {
it("should divide polynomials", () => {
const gf = new GaloisField();
const result = gf.polyDiv(
[18, 52, 86, 0, 0, 0, 0],
[1, 15, 54, 120, 64]
);
expect(result[0]).toEqual([18, 218, 223]);
});
});
});