[New Hints] cairo_secp.json #980
Description
Implement the remaining hints in cairo_secp.json
NewHint#13
assigned: @MegaRedHand
status: #1006
"ids.quad_bit = (",
" 8 * ((ids.scalar_v >> ids.m) & 1)",
" + 4 * ((ids.scalar_u >> ids.m) & 1)",
" + 2 * ((ids.scalar_v >> (ids.m - 1)) & 1)",
" + ((ids.scalar_u >> (ids.m - 1)) & 1)",
")"
NewHint#14
assigned: @MegaRedHand
status: #1008
"ids.len_hi = max(ids.scalar_u.d2.bit_length(), ids.scalar_v.d2.bit_length())-1"
NewHint#15
assigned: @MegaRedHand
status: #1009
"ids.dibit = ((ids.scalar_u >> ids.m) & 1) + 2 * ((ids.scalar_v >> ids.m) & 1)"
NewHint#16
assigned: @mfachal
status: #1014
"from starkware.cairo.common.cairo_secp.secp256r1_utils import SECP256R1_P as SECP_P"
NewHint#17
assigned: @mfachal
status: #1026
"from starkware.cairo.common.cairo_secp.secp256r1_utils import SECP256R1_ALPHA as ALPHA"
NewHint#18
assigned: @mfachal
status: #1026
"from starkware.cairo.common.cairo_secp.secp256r1_utils import SECP256R1_N as N"
NewHint#19 (there is a similar one, but this one is different)
assigned: @MegaRedHand
status: #1057
"from starkware.cairo.common.cairo_secp.secp_utils import pack",
"from starkware.python.math_utils import ec_double_slope",
"",
"# Compute the slope.",
"x = pack(ids.point.x, PRIME)",
"y = pack(ids.point.y, PRIME)",
"value = slope = ec_double_slope(point=(x, y), alpha=ALPHA, p=SECP_P)"
NewHint#20 (there is a similar one, but this one is different)
assigned: @mfachal
status: #1014
"from starkware.cairo.common.cairo_secp.secp_utils import pack",
"from starkware.python.math_utils import line_slope",
"",
"# Compute the slope.",
"x0 = pack(ids.point0.x, PRIME)",
"y0 = pack(ids.point0.y, PRIME)",
"x1 = pack(ids.point1.x, PRIME)",
"y1 = pack(ids.point1.y, PRIME)",
"value = slope = line_slope(point1=(x0, y0), point2=(x1, y1), p=SECP_P)"
NewHint#21 (there is a similar one, but this one is different)
assigned: @mfachal
status: #1089
"from starkware.cairo.common.cairo_secp.secp_utils import pack",
"",
"slope = pack(ids.slope, PRIME)",
"x0 = pack(ids.point0.x, PRIME)",
"x1 = pack(ids.point1.x, PRIME)",
"y0 = pack(ids.point0.y, PRIME)",
"",
"value = new_x = (pow(slope, 2, SECP_P) - x0 - x1) % SECP_P"
NewHint#22 (there is a similar one, but this one is different)
assigned: @MegaRedHand
status: #1003
"from starkware.cairo.common.cairo_secp.secp_utils import pack",
"x = pack(ids.x, PRIME) % SECP_P"
NewHint#23
assigned: @MegaRedHand
status: #996
"from starkware.python.math_utils import div_mod",
"",
"value = x_inv = div_mod(1, x, SECP_P)"
NewHint#24 (there is a similar one, but this one is different)
assigned: @MegaRedHand
status: #994
"from starkware.cairo.common.cairo_secp.secp_utils import pack",
"from starkware.python.math_utils import div_mod, safe_div",
"",
"a = pack(ids.a, PRIME)",
"b = pack(ids.b, PRIME)",
"value = res = div_mod(a, b, N)"
NewHint#25
assigned: @MegaRedHand
status: #994
"value = k_plus_one = safe_div(res * b - a, N) + 1"
NewHint#26 (there is a similar one, but this one is different)
assigned: @MegaRedHand
status: #992
"from starkware.cairo.common.cairo_secp.secp_utils import pack",
"",
"q, r = divmod(pack(ids.val, PRIME), SECP_P)",
"assert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"",
"ids.q = q % PRIME"
NewHint#27 (there is a similar one, but this one is different)
assigned: @MegaRedHand
status: #990
"from starkware.cairo.common.cairo_secp.secp_utils import pack",
"",
"slope = pack(ids.slope, PRIME)",
"x = pack(ids.point.x, PRIME)",
"y = pack(ids.point.y, PRIME)",
"",
"value = new_x = (pow(slope, 2, SECP_P) - 2 * x) % SECP_P"
NewHint#28 (there is a similar one, but this one is different)
assigned: @MegaRedHand
status: #989
"from starkware.cairo.common.cairo_secp.secp_utils import SECP_P",
"q, r = divmod(pack(ids.val, PRIME), SECP_P)",
"assert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"",
"ids.q = q % PRIME"
NewHint#29
assigned: @MegaRedHand
status: #986
"from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack",
"from starkware.python.math_utils import div_mod",
"",
"# Compute the slope.",
"x = pack(ids.pt.x, PRIME)",
"y = pack(ids.pt.y, PRIME)",
"value = slope = div_mod(3 * x ** 2, 2 * y, SECP_P)"
NewHint#30
assigned: @MegaRedHand
status: #984
"from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack",
"from starkware.python.math_utils import div_mod",
"",
"# Compute the slope.",
"x0 = pack(ids.pt0.x, PRIME)",
"y0 = pack(ids.pt0.y, PRIME)",
"x1 = pack(ids.pt1.x, PRIME)",
"y1 = pack(ids.pt1.y, PRIME)",
"value = slope = div_mod(y0 - y1, x0 - x1, SECP_P)"
NewHint#31
assigned: @mfachal
status: #991
"from starkware.cairo.common.cairo_secp.secp_utils import pack",
"from starkware.python.math_utils import div_mod, safe_div",
"",
"N = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141",
"x = pack(ids.x, PRIME) % N",
"s = pack(ids.s, PRIME) % N",
"value = res = div_mod(x, s, N)"
NewHint#32
assigned: @MegaRedHand
status: #1010
"memory[ap] = int(x == 0)"
NewHint#33
assigned: @mfachal
status: #991
"value = k = safe_div(res * s - x, N)"
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