__init__.py (in diffs/cancun/prague/vm/precompiled_contracts/bls12

ethereum.forks.prague.vm.precompiled_contracts.bls12_381

BLS12 381 Precompile.

.. contents:: Table of Contents :backlinks: none :local:

Introduction

Precompile for BLS12-381 curve operations.

G1_K_DISCOUNT

37	G1_K_DISCOUNT = [
38	1000,
39	949,
40	848,
41	797,
42	764,
43	750,
44	738,
45	728,
46	719,
47	712,
48	705,
49	698,
50	692,
51	687,
52	682,
53	677,
54	673,
55	669,
56	665,
57	661,
58	658,
59	654,
60	651,
61	648,
62	645,
63	642,
64	640,
65	637,
66	635,
67	632,
68	630,
69	627,
70	625,
71	623,
72	621,
73	619,
74	617,
75	615,
76	613,
77	611,
78	609,
79	608,
80	606,
81	604,
82	603,
83	601,
84	599,
85	598,
86	596,
87	595,
88	593,
89	592,
90	591,
91	589,
92	588,
93	586,
94	585,
95	584,
96	582,
97	581,
98	580,
99	579,
100	577,
101	576,
102	575,
103	574,
104	573,
105	572,
106	570,
107	569,
108	568,
109	567,
110	566,
111	565,
112	564,
113	563,
114	562,
115	561,
116	560,
117	559,
118	558,
119	557,
120	556,
121	555,
122	554,
123	553,
124	552,
125	551,
126	550,
127	549,
128	548,
129	547,
130	547,
131	546,
132	545,
133	544,
134	543,
135	542,
136	541,
137	540,
138	540,
139	539,
140	538,
141	537,
142	536,
143	536,
144	535,
145	534,
146	533,
147	532,
148	532,
149	531,
150	530,
151	529,
152	528,
153	528,
154	527,
155	526,
156	525,
157	525,
158	524,
159	523,
160	522,
161	522,
162	521,
163	520,
164	520,
165	519,
166	]

G2_K_DISCOUNT

168	G2_K_DISCOUNT = [
169	1000,
170	1000,
171	923,
172	884,
173	855,
174	832,
175	812,
176	796,
177	782,
178	770,
179	759,
180	749,
181	740,
182	732,
183	724,
184	717,
185	711,
186	704,
187	699,
188	693,
189	688,
190	683,
191	679,
192	674,
193	670,
194	666,
195	663,
196	659,
197	655,
198	652,
199	649,
200	646,
201	643,
202	640,
203	637,
204	634,
205	632,
206	629,
207	627,
208	624,
209	622,
210	620,
211	618,
212	615,
213	613,
214	611,
215	609,
216	607,
217	606,
218	604,
219	602,
220	600,
221	598,
222	597,
223	595,
224	593,
225	592,
226	590,
227	589,
228	587,
229	586,
230	584,
231	583,
232	582,
233	580,
234	579,
235	578,
236	576,
237	575,
238	574,
239	573,
240	571,
241	570,
242	569,
243	568,
244	567,
245	566,
246	565,
247	563,
248	562,
249	561,
250	560,
251	559,
252	558,
253	557,
254	556,
255	555,
256	554,
257	553,
258	552,
259	552,
260	551,
261	550,
262	549,
263	548,
264	547,
265	546,
266	545,
267	545,
268	544,
269	543,
270	542,
271	541,
272	541,
273	540,
274	539,
275	538,
276	537,
277	537,
278	536,
279	535,
280	535,
281	534,
282	533,
283	532,
284	532,
285	531,
286	530,
287	530,
288	529,
289	528,
290	528,
291	527,
292	526,
293	526,
294	525,
295	524,
296	524,
297	]

G1_MAX_DISCOUNT

299	G1_MAX_DISCOUNT = 519

G2_MAX_DISCOUNT

300	G2_MAX_DISCOUNT = 524

MULTIPLIER

301	MULTIPLIER = Uint(1000)

_bytes_to_g1_cached

Internal cached version of bytes_to_g1 that works with hashable bytes.

308	@lru_cache(maxsize=128)

def _bytes_to_g1_cached(data: bytes, subgroup_check: bool) -> Point3D[FQ]:

313	"""
314	Internal cached version of `bytes_to_g1` that works with hashable `bytes`.
315	"""
316	if len(data) != 128:
317	raise InvalidParameter("Input should be 128 bytes long")
318
319	x = bytes_to_fq(data[:64])
320	y = bytes_to_fq(data[64:])
321
322	if x >= FQ.field_modulus:
323	raise InvalidParameter("x >= field modulus")
324	if y >= FQ.field_modulus:
325	raise InvalidParameter("y >= field modulus")
326
327	z = 1
328	if x == 0 and y == 0:
329	z = 0
330	point = FQ(x), FQ(y), FQ(z)
331
332	if not is_on_curve(point, b):
333	raise InvalidParameter("G1 point is not on curve")
334
335	if subgroup_check and not is_inf(bls12_multiply(point, curve_order)):
336	raise InvalidParameter("Subgroup check failed for G1 point.")
337
338	return point

bytes_to_g1

Decode 128 bytes to a G1 point with or without subgroup check.

Parameters

data : The bytes data to decode. subgroup_check : bool Whether to perform a subgroup check on the G1 point.

Returns

point : Point3D[FQ] The G1 point.

Raises

InvalidParameter If a field element is invalid, the point is not on the curve, or the subgroup check fails.

def bytes_to_g1(data: Bytes, subgroup_check: bool) -> Point3D[FQ]:

345	"""
346	Decode 128 bytes to a G1 point with or without subgroup check.
347
348	Parameters
349	----------
350	data :
351	The bytes data to decode.
352	subgroup_check : bool
353	Whether to perform a subgroup check on the G1 point.
354
355	Returns
356	-------
357	point : Point3D[FQ]
358	The G1 point.
359
360	Raises
361	------
362	InvalidParameter
363	If a field element is invalid, the point is not on the curve, or the
364	subgroup check fails.
365
366	"""
367	# This is needed bc when we slice `Bytes` we get a `bytearray`,
368	# which is not hashable
369	return _bytes_to_g1_cached(bytes(data), subgroup_check)

g1_to_bytes

Encode a G1 point to 128 bytes.

Parameters

g1_point : The G1 point to encode.

Returns

data : Bytes The encoded data.

def g1_to_bytes(g1_point: Point3D[FQ]) -> Bytes:

375	"""
376	Encode a G1 point to 128 bytes.
377
378	Parameters
379	----------
380	g1_point :
381	The G1 point to encode.
382
383	Returns
384	-------
385	data : Bytes
386	The encoded data.
387
388	"""
389	g1_normalized = normalize(g1_point)
390	x, y = g1_normalized
391	return int(x).to_bytes(64, "big") + int(y).to_bytes(64, "big")

decode_g1_scalar_pair

Decode 160 bytes to a G1 point and a scalar.

Parameters

data : The bytes data to decode.

Returns

point : Tuple[Point3D[FQ], int] The G1 point and the scalar.

Raises

InvalidParameter If the subgroup check failed.

def decode_g1_scalar_pair(data: Bytes) -> Tuple[Point3D[FQ], int]:

397	"""
398	Decode 160 bytes to a G1 point and a scalar.
399
400	Parameters
401	----------
402	data :
403	The bytes data to decode.
404
405	Returns
406	-------
407	point : Tuple[Point3D[FQ], int]
408	The G1 point and the scalar.
409
410	Raises
411	------
412	InvalidParameter
413	If the subgroup check failed.
414
415	"""
416	if len(data) != 160:
417	InvalidParameter("Input should be 160 bytes long")
418
419	point = bytes_to_g1(data[:128], subgroup_check=True)
420
421	m = int.from_bytes(buffer_read(data, U256(128), U256(32)), "big")
422
423	return point, m

bytes_to_fq

Decode 64 bytes to a FQ element.

Parameters

data : The bytes data to decode.

Returns

fq : FQ The FQ element.

Raises

InvalidParameter If the field element is invalid.

def bytes_to_fq(data: Bytes) -> FQ:

427	"""
428	Decode 64 bytes to a FQ element.
429
430	Parameters
431	----------
432	data :
433	The bytes data to decode.
434
435	Returns
436	-------
437	fq : FQ
438	The FQ element.
439
440	Raises
441	------
442	InvalidParameter
443	If the field element is invalid.
444
445	"""
446	if len(data) != 64:
447	raise InvalidParameter("FQ should be 64 bytes long")
448
449	c = int.from_bytes(data[:64], "big")
450
451	if c >= FQ.field_modulus:
452	raise InvalidParameter("Invalid field element")
453
454	return FQ(c)

bytes_to_fq2

Decode 128 bytes to an FQ2 element.

Parameters

data : The bytes data to decode.

Returns

fq2 : FQ2 The FQ2 element.

Raises

InvalidParameter If the field element is invalid.

def bytes_to_fq2(data: Bytes) -> FQ2:

458	"""
459	Decode 128 bytes to an FQ2 element.
460
461	Parameters
462	----------
463	data :
464	The bytes data to decode.
465
466	Returns
467	-------
468	fq2 : FQ2
469	The FQ2 element.
470
471	Raises
472	------
473	InvalidParameter
474	If the field element is invalid.
475
476	"""
477	if len(data) != 128:
478	raise InvalidParameter("FQ2 input should be 128 bytes long")
479	c_0 = int.from_bytes(data[:64], "big")
480	c_1 = int.from_bytes(data[64:], "big")
481
482	if c_0 >= FQ.field_modulus:
483	raise InvalidParameter("Invalid field element")
484	if c_1 >= FQ.field_modulus:
485	raise InvalidParameter("Invalid field element")
486
487	return FQ2((c_0, c_1))

_bytes_to_g2_cached

Internal cached version of bytes_to_g2 that works with hashable bytes.

494	@lru_cache(maxsize=128)

def _bytes_to_g2_cached(data: bytes, subgroup_check: bool) -> Point3D[FQ2]:

499	"""
500	Internal cached version of `bytes_to_g2` that works with hashable `bytes`.
501	"""
502	if len(data) != 256:
503	raise InvalidParameter("G2 should be 256 bytes long")
504
505	x = bytes_to_fq2(data[:128])
506	y = bytes_to_fq2(data[128:])
507
508	z = (1, 0)
509	if x == FQ2((0, 0)) and y == FQ2((0, 0)):
510	z = (0, 0)
511
512	point = x, y, FQ2(z)
513
514	if not is_on_curve(point, b2):
515	raise InvalidParameter("Point is not on curve")
516
517	if subgroup_check and not is_inf(bls12_multiply(point, curve_order)):
518	raise InvalidParameter("Subgroup check failed for G2 point.")
519
520	return point

bytes_to_g2

Decode 256 bytes to a G2 point with or without subgroup check.

Parameters

data : The bytes data to decode. subgroup_check : bool Whether to perform a subgroup check on the G2 point.

Returns

point : Point3D[FQ2] The G2 point.

Raises

InvalidParameter If a field element is invalid, the point is not on the curve, or the subgroup check fails.

def bytes_to_g2(data: Bytes, subgroup_check: bool) -> Point3D[FQ2]:

527	"""
528	Decode 256 bytes to a G2 point with or without subgroup check.
529
530	Parameters
531	----------
532	data :
533	The bytes data to decode.
534	subgroup_check : bool
535	Whether to perform a subgroup check on the G2 point.
536
537	Returns
538	-------
539	point : Point3D[FQ2]
540	The G2 point.
541
542	Raises
543	------
544	InvalidParameter
545	If a field element is invalid, the point is not on the curve, or the
546	subgroup check fails.
547
548	"""
549	# This is needed bc when we slice `Bytes` we get a `bytearray`,
550	# which is not hashable
551	return _bytes_to_g2_cached(data, subgroup_check)

fq2_to_bytes

Encode a FQ2 point to 128 bytes.

Parameters

fq2 : The FQ2 point to encode.

Returns

data : Bytes The encoded data.

def fq2_to_bytes(fq2: FQ2) -> Bytes:

555	"""
556	Encode a FQ2 point to 128 bytes.
557
558	Parameters
559	----------
560	fq2 :
561	The FQ2 point to encode.
562
563	Returns
564	-------
565	data : Bytes
566	The encoded data.
567
568	"""
569	coord0, coord1 = fq2.coeffs
570	return int(coord0).to_bytes(64, "big") + int(coord1).to_bytes(64, "big")

g2_to_bytes

Encode a G2 point to 256 bytes.

Parameters

g2_point : The G2 point to encode.

Returns

data : Bytes The encoded data.

def g2_to_bytes(g2_point: Point3D[FQ2]) -> Bytes:

576	"""
577	Encode a G2 point to 256 bytes.
578
579	Parameters
580	----------
581	g2_point :
582	The G2 point to encode.
583
584	Returns
585	-------
586	data : Bytes
587	The encoded data.
588
589	"""
590	x_coords, y_coords = normalize(g2_point)
591	return fq2_to_bytes(x_coords) + fq2_to_bytes(y_coords)

decode_g2_scalar_pair

Decode 288 bytes to a G2 point and a scalar.

Parameters

data : The bytes data to decode.

Returns

point : Tuple[Point3D[FQ2], int] The G2 point and the scalar.

Raises

InvalidParameter If the subgroup check failed.

def decode_g2_scalar_pair(data: Bytes) -> Tuple[Point3D[FQ2], int]:

597	"""
598	Decode 288 bytes to a G2 point and a scalar.
599
600	Parameters
601	----------
602	data :
603	The bytes data to decode.
604
605	Returns
606	-------
607	point : Tuple[Point3D[FQ2], int]
608	The G2 point and the scalar.
609
610	Raises
611	------
612	InvalidParameter
613	If the subgroup check failed.
614
615	"""
616	if len(data) != 288:
617	InvalidParameter("Input should be 288 bytes long")
618
619	point = bytes_to_g2(data[:256], subgroup_check=True)
620	n = int.from_bytes(data[256 : 256 + 32], "big")
621
622	return point, n

Search Results

ethereum.forks.prague.vm.precompiled_contracts.bls12_381

Introduction

G1_K_DISCOUNT

G2_K_DISCOUNT

G1_MAX_DISCOUNT

G2_MAX_DISCOUNT

MULTIPLIER

_bytes_to_g1_cached

bytes_to_g1

Parameters

Returns

Raises

g1_to_bytes

Parameters

Returns

decode_g1_scalar_pair

Parameters

Returns

Raises

bytes_to_fq

Parameters

Returns

Raises

bytes_to_fq2

Parameters

Returns

Raises

_bytes_to_g2_cached

bytes_to_g2

Parameters

Returns

Raises

fq2_to_bytes

Parameters

Returns

g2_to_bytes

Parameters

Returns

decode_g2_scalar_pair

Parameters

Returns

Raises