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sha256_packed.cairo
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sha256_packed.cairo
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from starkware.cairo.common.alloc import alloc
from starkware.cairo.common.cairo_builtins import BitwiseBuiltin
from starkware.cairo.common.registers import get_fp_and_pc
// The goldilocks prime is defined as 2**64 - 2**32 + 1
const ALL_ONES = 2 ** 63 - 1;
// Given an array of size 16, extends it to the message schedule array (of size 64) by writing 48 more values.
func compute_message_schedule{bitwise_ptr: BitwiseBuiltin*}(message: felt*) {
alloc_locals;
// Defining the following constants as local variables saves some instructions.
local shift_mask3 = (2 ** 32 - 2 ** 3);
local shift_mask7 = (2 ** 32 - 2 ** 7);
local shift_mask10 = (2 ** 32 - 2 ** 10);
local shift_mask17 = (2 ** 32 - 2 ** 17);
local shift_mask18 = (2 ** 32 - 2 ** 18);
local shift_mask19 = (2 ** 32 - 2 ** 19);
local mask32ones = (2 ** 32 - 1);
// Loop variables.
tempvar bitwise_ptr = bitwise_ptr;
tempvar message = message + 16;
tempvar n = 64 - 16;
loop:
// Compute s0 = right_rot(w[i - 15], 7) ^ right_rot(w[i - 15], 18) ^ (w[i - 15] >> 3).
tempvar w0 = message[-15];
assert bitwise_ptr[0].x = w0;
assert bitwise_ptr[0].y = shift_mask7;
let w0_rot7 = (2 ** (32 - 7)) * w0 + (1 / 2 ** 7 - 2 ** (32 - 7)) * bitwise_ptr[0].x_and_y;
assert bitwise_ptr[1].x = w0;
assert bitwise_ptr[1].y = shift_mask18;
let w0_rot18 = (2 ** (32 - 18)) * w0 + (1 / 2 ** 18 - 2 ** (32 - 18)) * bitwise_ptr[1].x_and_y;
assert bitwise_ptr[2].x = w0;
assert bitwise_ptr[2].y = shift_mask3;
let w0_shift3 = (1 / 2 ** 3) * bitwise_ptr[2].x_and_y;
assert bitwise_ptr[3].x = w0_rot7;
assert bitwise_ptr[3].y = w0_rot18;
assert bitwise_ptr[4].x = bitwise_ptr[3].x_xor_y;
assert bitwise_ptr[4].y = w0_shift3;
let s0 = bitwise_ptr[4].x_xor_y;
let bitwise_ptr = bitwise_ptr + 5 * BitwiseBuiltin.SIZE;
// Compute s1 = right_rot(w[i - 2], 17) ^ right_rot(w[i - 2], 19) ^ (w[i - 2] >> 10).
tempvar w1 = message[-2];
assert bitwise_ptr[0].x = w1;
assert bitwise_ptr[0].y = shift_mask17;
let w1_rot17 = (2 ** (32 - 17)) * w1 + (1 / 2 ** 17 - 2 ** (32 - 17)) * bitwise_ptr[0].x_and_y;
assert bitwise_ptr[1].x = w1;
assert bitwise_ptr[1].y = shift_mask19;
let w1_rot19 = (2 ** (32 - 19)) * w1 + (1 / 2 ** 19 - 2 ** (32 - 19)) * bitwise_ptr[1].x_and_y;
assert bitwise_ptr[2].x = w1;
assert bitwise_ptr[2].y = shift_mask10;
let w1_shift10 = (1 / 2 ** 10) * bitwise_ptr[2].x_and_y;
assert bitwise_ptr[3].x = w1_rot17;
assert bitwise_ptr[3].y = w1_rot19;
assert bitwise_ptr[4].x = bitwise_ptr[3].x_xor_y;
assert bitwise_ptr[4].y = w1_shift10;
let s1 = bitwise_ptr[4].x_xor_y;
let bitwise_ptr = bitwise_ptr + 5 * BitwiseBuiltin.SIZE;
assert bitwise_ptr[0].x = message[-16] + s0 + message[-7] + s1;
assert bitwise_ptr[0].y = mask32ones;
assert message[0] = bitwise_ptr[0].x_and_y;
let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;
tempvar bitwise_ptr = bitwise_ptr;
tempvar message = message + 1;
tempvar n = n - 1;
jmp loop if n != 0;
return ();
}
func sha2_compress{bitwise_ptr: BitwiseBuiltin*}(
state: felt*, message: felt*, round_constants: felt*, res: felt*
) {
alloc_locals;
// Defining the following constants as local variables saves some instructions.
local shift_mask2 = (2 ** 32 - 2 ** 2);
local shift_mask13 = (2 ** 32 - 2 ** 13);
local shift_mask22 = (2 ** 32 - 2 ** 22);
local shift_mask6 = (2 ** 32 - 2 ** 6);
local shift_mask11 = (2 ** 32 - 2 ** 11);
local shift_mask25 = (2 ** 32 - 2 ** 25);
local mask32ones = (2 ** 32 - 1);
tempvar a = state[0];
tempvar b = state[1];
tempvar c = state[2];
tempvar d = state[3];
tempvar e = state[4];
tempvar f = state[5];
tempvar g = state[6];
tempvar h = state[7];
tempvar round_constants = round_constants;
tempvar message = message;
tempvar bitwise_ptr = bitwise_ptr;
tempvar n = 64;
loop:
// Compute s0 = right_rot(a, 2) ^ right_rot(a, 13) ^ right_rot(a, 22).
assert bitwise_ptr[0].x = a;
assert bitwise_ptr[0].y = shift_mask2;
let a_rot2 = (2 ** (32 - 2)) * a + (1 / 2 ** 2 - 2 ** (32 - 2)) * bitwise_ptr[0].x_and_y;
assert bitwise_ptr[1].x = a;
assert bitwise_ptr[1].y = shift_mask13;
let a_rot13 = (2 ** (32 - 13)) * a + (1 / 2 ** 13 - 2 ** (32 - 13)) * bitwise_ptr[1].x_and_y;
assert bitwise_ptr[2].x = a;
assert bitwise_ptr[2].y = shift_mask22;
let a_rot22 = (2 ** (32 - 22)) * a + (1 / 2 ** 22 - 2 ** (32 - 22)) * bitwise_ptr[2].x_and_y;
assert bitwise_ptr[3].x = a_rot2;
assert bitwise_ptr[3].y = a_rot13;
assert bitwise_ptr[4].x = bitwise_ptr[3].x_xor_y;
assert bitwise_ptr[4].y = a_rot22;
let s0 = bitwise_ptr[4].x_xor_y;
let bitwise_ptr = bitwise_ptr + 5 * BitwiseBuiltin.SIZE;
// Compute s1 = right_rot(e, 6) ^ right_rot(e, 11) ^ right_rot(e, 25).
assert bitwise_ptr[0].x = e;
assert bitwise_ptr[0].y = shift_mask6;
let e_rot6 = (2 ** (32 - 6)) * e + (1 / 2 ** 6 - 2 ** (32 - 6)) * bitwise_ptr[0].x_and_y;
assert bitwise_ptr[1].x = e;
assert bitwise_ptr[1].y = shift_mask11;
let e_rot11 = (2 ** (32 - 11)) * e + (1 / 2 ** 11 - 2 ** (32 - 11)) * bitwise_ptr[1].x_and_y;
assert bitwise_ptr[2].x = e;
assert bitwise_ptr[2].y = shift_mask25;
let e_rot25 = (2 ** (32 - 25)) * e + (1 / 2 ** 25 - 2 ** (32 - 25)) * bitwise_ptr[2].x_and_y;
assert bitwise_ptr[3].x = e_rot6;
assert bitwise_ptr[3].y = e_rot11;
assert bitwise_ptr[4].x = bitwise_ptr[3].x_xor_y;
assert bitwise_ptr[4].y = e_rot25;
let s1 = bitwise_ptr[4].x_xor_y;
let bitwise_ptr = bitwise_ptr + 5 * BitwiseBuiltin.SIZE;
// Compute ch = (e & f) ^ ((~e) & g).
assert bitwise_ptr[0].x = e;
assert bitwise_ptr[0].y = f;
assert bitwise_ptr[1].x = ALL_ONES - e;
assert bitwise_ptr[1].y = g;
let ch = bitwise_ptr[0].x_and_y + bitwise_ptr[1].x_and_y;
let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;
// Compute maj = (a & b) ^ (a & c) ^ (b & c).
assert bitwise_ptr[0].x = a;
assert bitwise_ptr[0].y = b;
assert bitwise_ptr[1].x = bitwise_ptr[0].x_xor_y;
assert bitwise_ptr[1].y = c;
let maj = (a + b + c - bitwise_ptr[1].x_xor_y) / 2;
let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;
tempvar temp1 = h + s1 + ch + round_constants[0] + message[0];
tempvar temp2 = s0 + maj;
assert bitwise_ptr[0].x = temp1 + temp2;
assert bitwise_ptr[0].y = mask32ones;
let new_a = bitwise_ptr[0].x_and_y;
assert bitwise_ptr[1].x = d + temp1;
assert bitwise_ptr[1].y = mask32ones;
let new_e = bitwise_ptr[1].x_and_y;
let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;
tempvar new_a = new_a;
tempvar new_b = a;
tempvar new_c = b;
tempvar new_d = c;
tempvar new_e = new_e;
tempvar new_f = e;
tempvar new_g = f;
tempvar new_h = g;
tempvar round_constants = round_constants + 1;
tempvar message = message + 1;
tempvar bitwise_ptr = bitwise_ptr;
tempvar n = n - 1;
jmp loop if n != 0;
// Add the compression result to the original state:
assert bitwise_ptr[0].x = state[0] + new_a;
assert bitwise_ptr[0].y = mask32ones;
assert res[0] = bitwise_ptr[0].x_and_y;
assert bitwise_ptr[1].x = state[1] + new_b;
assert bitwise_ptr[1].y = mask32ones;
assert res[1] = bitwise_ptr[1].x_and_y;
assert bitwise_ptr[2].x = state[2] + new_c;
assert bitwise_ptr[2].y = mask32ones;
assert res[2] = bitwise_ptr[2].x_and_y;
assert bitwise_ptr[3].x = state[3] + new_d;
assert bitwise_ptr[3].y = mask32ones;
assert res[3] = bitwise_ptr[3].x_and_y;
assert bitwise_ptr[4].x = state[4] + new_e;
assert bitwise_ptr[4].y = mask32ones;
assert res[4] = bitwise_ptr[4].x_and_y;
assert bitwise_ptr[5].x = state[5] + new_f;
assert bitwise_ptr[5].y = mask32ones;
assert res[5] = bitwise_ptr[5].x_and_y;
assert bitwise_ptr[6].x = state[6] + new_g;
assert bitwise_ptr[6].y = mask32ones;
assert res[6] = bitwise_ptr[6].x_and_y;
assert bitwise_ptr[7].x = state[7] + new_h;
assert bitwise_ptr[7].y = mask32ones;
assert res[7] = bitwise_ptr[7].x_and_y;
let bitwise_ptr = bitwise_ptr + 8 * BitwiseBuiltin.SIZE;
return ();
}
// Returns the 64 round constants of SHA256.
func get_round_constants() -> felt* {
alloc_locals;
let (__fp__, _) = get_fp_and_pc();
local round_constants = 0x428A2F98;
local a = 0x71374491;
local a = 0xB5C0FBCF;
local a = 0xE9B5DBA5;
local a = 0x3956C25B;
local a = 0x59F111F1;
local a = 0x923F82A4;
local a = 0xAB1C5ED5;
local a = 0xD807AA98;
local a = 0x12835B01;
local a = 0x243185BE;
local a = 0x550C7DC3;
local a = 0x72BE5D74;
local a = 0x80DEB1FE;
local a = 0x9BDC06A7;
local a = 0xC19BF174;
local a = 0xE49B69C1;
local a = 0xEFBE4786;
local a = 0x0FC19DC6;
local a = 0x240CA1CC;
local a = 0x2DE92C6F;
local a = 0x4A7484AA;
local a = 0x5CB0A9DC;
local a = 0x76F988DA;
local a = 0x983E5152;
local a = 0xA831C66D;
local a = 0xB00327C8;
local a = 0xBF597FC7;
local a = 0xC6E00BF3;
local a = 0xD5A79147;
local a = 0x06CA6351;
local a = 0x14292967;
local a = 0x27B70A85;
local a = 0x2E1B2138;
local a = 0x4D2C6DFC;
local a = 0x53380D13;
local a = 0x650A7354;
local a = 0x766A0ABB;
local a = 0x81C2C92E;
local a = 0x92722C85;
local a = 0xA2BFE8A1;
local a = 0xA81A664B;
local a = 0xC24B8B70;
local a = 0xC76C51A3;
local a = 0xD192E819;
local a = 0xD6990624;
local a = 0xF40E3585;
local a = 0x106AA070;
local a = 0x19A4C116;
local a = 0x1E376C08;
local a = 0x2748774C;
local a = 0x34B0BCB5;
local a = 0x391C0CB3;
local a = 0x4ED8AA4A;
local a = 0x5B9CCA4F;
local a = 0x682E6FF3;
local a = 0x748F82EE;
local a = 0x78A5636F;
local a = 0x84C87814;
local a = 0x8CC70208;
local a = 0x90BEFFFA;
local a = 0xA4506CEB;
local a = 0xBEF9A3F7;
local a = 0xC67178F2;
return &round_constants;
}