//! Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --lang Rust --inline p448 32 16 '2^448 - 2^224 - 1' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax //! curve description: p448 //! machine_wordsize = 32 (from "32") //! requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax //! n = 16 (from "16") //! s-c = 2^448 - [(2^224, 1), (1, 1)] (from "2^448 - 2^224 - 1") //! tight_bounds_multiplier = 1 (from "") //! //! Computed values: //! carry_chain = [7, 15, 8, 0, 9, 1, 10, 2, 11, 3, 12, 4, 13, 5, 14, 6, 15, 7, 8, 0] //! eval z = z[0] + (z[1] << 28) + (z[2] << 56) + (z[3] << 84) + (z[4] << 112) + (z[5] << 140) + (z[6] << 168) + (z[7] << 196) + (z[8] << 224) + (z[9] << 252) + (z[10] << 0x118) + (z[11] << 0x134) + (z[12] << 0x150) + (z[13] << 0x16c) + (z[14] << 0x188) + (z[15] << 0x1a4) //! bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) + (z[32] << 256) + (z[33] << 0x108) + (z[34] << 0x110) + (z[35] << 0x118) + (z[36] << 0x120) + (z[37] << 0x128) + (z[38] << 0x130) + (z[39] << 0x138) + (z[40] << 0x140) + (z[41] << 0x148) + (z[42] << 0x150) + (z[43] << 0x158) + (z[44] << 0x160) + (z[45] << 0x168) + (z[46] << 0x170) + (z[47] << 0x178) + (z[48] << 0x180) + (z[49] << 0x188) + (z[50] << 0x190) + (z[51] << 0x198) + (z[52] << 0x1a0) + (z[53] << 0x1a8) + (z[54] << 0x1b0) + (z[55] << 0x1b8) //! balance = [0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffc, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe] #![allow(unused_parens)] #![allow(non_camel_case_types)] /** fiat_p448_u1 represents values of 1 bits, stored in one byte. */ pub type fiat_p448_u1 = u8; /** fiat_p448_i1 represents values of 1 bits, stored in one byte. */ pub type fiat_p448_i1 = i8; /** fiat_p448_u2 represents values of 2 bits, stored in one byte. */ pub type fiat_p448_u2 = u8; /** fiat_p448_i2 represents values of 2 bits, stored in one byte. */ pub type fiat_p448_i2 = i8; /** The type fiat_p448_loose_field_element is a field element with loose bounds. */ /** Bounds: [[0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000]] */ #[derive(Clone, Copy)] pub struct fiat_p448_loose_field_element(pub [u32; 16]); impl core::ops::Index for fiat_p448_loose_field_element { type Output = u32; #[inline] fn index(&self, index: usize) -> &Self::Output { &self.0[index] } } impl core::ops::IndexMut for fiat_p448_loose_field_element { #[inline] fn index_mut(&mut self, index: usize) -> &mut Self::Output { &mut self.0[index] } } /** The type fiat_p448_tight_field_element is a field element with tight bounds. */ /** Bounds: [[0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000]] */ #[derive(Clone, Copy)] pub struct fiat_p448_tight_field_element(pub [u32; 16]); impl core::ops::Index for fiat_p448_tight_field_element { type Output = u32; #[inline] fn index(&self, index: usize) -> &Self::Output { &self.0[index] } } impl core::ops::IndexMut for fiat_p448_tight_field_element { #[inline] fn index_mut(&mut self, index: usize) -> &mut Self::Output { &mut self.0[index] } } /// The function fiat_p448_addcarryx_u28 is an addition with carry. /// /// Postconditions: /// out1 = (arg1 + arg2 + arg3) mod 2^28 /// out2 = ⌊(arg1 + arg2 + arg3) / 2^28⌋ /// /// Input Bounds: /// arg1: [0x0 ~> 0x1] /// arg2: [0x0 ~> 0xfffffff] /// arg3: [0x0 ~> 0xfffffff] /// Output Bounds: /// out1: [0x0 ~> 0xfffffff] /// out2: [0x0 ~> 0x1] #[inline] pub fn fiat_p448_addcarryx_u28(out1: &mut u32, out2: &mut fiat_p448_u1, arg1: fiat_p448_u1, arg2: u32, arg3: u32) { let x1: u32 = (((arg1 as u32) + arg2) + arg3); let x2: u32 = (x1 & 0xfffffff); let x3: fiat_p448_u1 = ((x1 >> 28) as fiat_p448_u1); *out1 = x2; *out2 = x3; } /// The function fiat_p448_subborrowx_u28 is a subtraction with borrow. /// /// Postconditions: /// out1 = (-arg1 + arg2 + -arg3) mod 2^28 /// out2 = -⌊(-arg1 + arg2 + -arg3) / 2^28⌋ /// /// Input Bounds: /// arg1: [0x0 ~> 0x1] /// arg2: [0x0 ~> 0xfffffff] /// arg3: [0x0 ~> 0xfffffff] /// Output Bounds: /// out1: [0x0 ~> 0xfffffff] /// out2: [0x0 ~> 0x1] #[inline] pub fn fiat_p448_subborrowx_u28(out1: &mut u32, out2: &mut fiat_p448_u1, arg1: fiat_p448_u1, arg2: u32, arg3: u32) { let x1: i32 = ((((((arg2 as i64) - (arg1 as i64)) as i32) as i64) - (arg3 as i64)) as i32); let x2: fiat_p448_i1 = ((x1 >> 28) as fiat_p448_i1); let x3: u32 = (((x1 as i64) & (0xfffffff as i64)) as u32); *out1 = x3; *out2 = (((0x0 as fiat_p448_i2) - (x2 as fiat_p448_i2)) as fiat_p448_u1); } /// The function fiat_p448_cmovznz_u32 is a single-word conditional move. /// /// Postconditions: /// out1 = (if arg1 = 0 then arg2 else arg3) /// /// Input Bounds: /// arg1: [0x0 ~> 0x1] /// arg2: [0x0 ~> 0xffffffff] /// arg3: [0x0 ~> 0xffffffff] /// Output Bounds: /// out1: [0x0 ~> 0xffffffff] #[inline] pub fn fiat_p448_cmovznz_u32(out1: &mut u32, arg1: fiat_p448_u1, arg2: u32, arg3: u32) { let x1: fiat_p448_u1 = (!(!arg1)); let x2: u32 = ((((((0x0 as fiat_p448_i2) - (x1 as fiat_p448_i2)) as fiat_p448_i1) as i64) & (0xffffffff as i64)) as u32); let x3: u32 = ((x2 & arg3) | ((!x2) & arg2)); *out1 = x3; } /// The function fiat_p448_carry_mul multiplies two field elements and reduces the result. /// /// Postconditions: /// eval out1 mod m = (eval arg1 * eval arg2) mod m /// #[inline] pub fn fiat_p448_carry_mul(out1: &mut fiat_p448_tight_field_element, arg1: &fiat_p448_loose_field_element, arg2: &fiat_p448_loose_field_element) { let x1: u64 = (((arg1[15]) as u64) * ((arg2[15]) as u64)); let x2: u64 = (((arg1[15]) as u64) * ((arg2[14]) as u64)); let x3: u64 = (((arg1[15]) as u64) * ((arg2[13]) as u64)); let x4: u64 = (((arg1[15]) as u64) * ((arg2[12]) as u64)); let x5: u64 = (((arg1[15]) as u64) * ((arg2[11]) as u64)); let x6: u64 = (((arg1[15]) as u64) * ((arg2[10]) as u64)); let x7: u64 = (((arg1[15]) as u64) * ((arg2[9]) as u64)); let x8: u64 = (((arg1[14]) as u64) * ((arg2[15]) as u64)); let x9: u64 = (((arg1[14]) as u64) * ((arg2[14]) as u64)); let x10: u64 = (((arg1[14]) as u64) * ((arg2[13]) as u64)); let x11: u64 = (((arg1[14]) as u64) * ((arg2[12]) as u64)); let x12: u64 = (((arg1[14]) as u64) * ((arg2[11]) as u64)); let x13: u64 = (((arg1[14]) as u64) * ((arg2[10]) as u64)); let x14: u64 = (((arg1[13]) as u64) * ((arg2[15]) as u64)); let x15: u64 = (((arg1[13]) as u64) * ((arg2[14]) as u64)); let x16: u64 = (((arg1[13]) as u64) * ((arg2[13]) as u64)); let x17: u64 = (((arg1[13]) as u64) * ((arg2[12]) as u64)); let x18: u64 = (((arg1[13]) as u64) * ((arg2[11]) as u64)); let x19: u64 = (((arg1[12]) as u64) * ((arg2[15]) as u64)); let x20: u64 = (((arg1[12]) as u64) * ((arg2[14]) as u64)); let x21: u64 = (((arg1[12]) as u64) * ((arg2[13]) as u64)); let x22: u64 = (((arg1[12]) as u64) * ((arg2[12]) as u64)); let x23: u64 = (((arg1[11]) as u64) * ((arg2[15]) as u64)); let x24: u64 = (((arg1[11]) as u64) * ((arg2[14]) as u64)); let x25: u64 = (((arg1[11]) as u64) * ((arg2[13]) as u64)); let x26: u64 = (((arg1[10]) as u64) * ((arg2[15]) as u64)); let x27: u64 = (((arg1[10]) as u64) * ((arg2[14]) as u64)); let x28: u64 = (((arg1[9]) as u64) * ((arg2[15]) as u64)); let x29: u64 = (((arg1[15]) as u64) * ((arg2[15]) as u64)); let x30: u64 = (((arg1[15]) as u64) * ((arg2[14]) as u64)); let x31: u64 = (((arg1[15]) as u64) * ((arg2[13]) as u64)); let x32: u64 = (((arg1[15]) as u64) * ((arg2[12]) as u64)); let x33: u64 = (((arg1[15]) as u64) * ((arg2[11]) as u64)); let x34: u64 = (((arg1[15]) as u64) * ((arg2[10]) as u64)); let x35: u64 = (((arg1[15]) as u64) * ((arg2[9]) as u64)); let x36: u64 = (((arg1[14]) as u64) * ((arg2[15]) as u64)); let x37: u64 = (((arg1[14]) as u64) * ((arg2[14]) as u64)); let x38: u64 = (((arg1[14]) as u64) * ((arg2[13]) as u64)); let x39: u64 = (((arg1[14]) as u64) * ((arg2[12]) as u64)); let x40: u64 = (((arg1[14]) as u64) * ((arg2[11]) as u64)); let x41: u64 = (((arg1[14]) as u64) * ((arg2[10]) as u64)); let x42: u64 = (((arg1[13]) as u64) * ((arg2[15]) as u64)); let x43: u64 = (((arg1[13]) as u64) * ((arg2[14]) as u64)); let x44: u64 = (((arg1[13]) as u64) * ((arg2[13]) as u64)); let x45: u64 = (((arg1[13]) as u64) * ((arg2[12]) as u64)); let x46: u64 = (((arg1[13]) as u64) * ((arg2[11]) as u64)); let x47: u64 = (((arg1[12]) as u64) * ((arg2[15]) as u64)); let x48: u64 = (((arg1[12]) as u64) * ((arg2[14]) as u64)); let x49: u64 = (((arg1[12]) as u64) * ((arg2[13]) as u64)); let x50: u64 = (((arg1[12]) as u64) * ((arg2[12]) as u64)); let x51: u64 = (((arg1[11]) as u64) * ((arg2[15]) as u64)); let x52: u64 = (((arg1[11]) as u64) * ((arg2[14]) as u64)); let x53: u64 = (((arg1[11]) as u64) * ((arg2[13]) as u64)); let x54: u64 = (((arg1[10]) as u64) * ((arg2[15]) as u64)); let x55: u64 = (((arg1[10]) as u64) * ((arg2[14]) as u64)); let x56: u64 = (((arg1[9]) as u64) * ((arg2[15]) as u64)); let x57: u64 = (((arg1[15]) as u64) * ((arg2[15]) as u64)); let x58: u64 = (((arg1[15]) as u64) * ((arg2[14]) as u64)); let x59: u64 = (((arg1[15]) as u64) * ((arg2[13]) as u64)); let x60: u64 = (((arg1[15]) as u64) * ((arg2[12]) as u64)); let x61: u64 = (((arg1[15]) as u64) * ((arg2[11]) as u64)); let x62: u64 = (((arg1[15]) as u64) * ((arg2[10]) as u64)); let x63: u64 = (((arg1[15]) as u64) * ((arg2[9]) as u64)); let x64: u64 = (((arg1[15]) as u64) * ((arg2[8]) as u64)); let x65: u64 = (((arg1[15]) as u64) * ((arg2[7]) as u64)); let x66: u64 = (((arg1[15]) as u64) * ((arg2[6]) as u64)); let x67: u64 = (((arg1[15]) as u64) * ((arg2[5]) as u64)); let x68: u64 = (((arg1[15]) as u64) * ((arg2[4]) as u64)); let x69: u64 = (((arg1[15]) as u64) * ((arg2[3]) as u64)); let x70: u64 = (((arg1[15]) as u64) * ((arg2[2]) as u64)); let x71: u64 = (((arg1[15]) as u64) * ((arg2[1]) as u64)); let x72: u64 = (((arg1[14]) as u64) * ((arg2[15]) as u64)); let x73: u64 = (((arg1[14]) as u64) * ((arg2[14]) as u64)); let x74: u64 = (((arg1[14]) as u64) * ((arg2[13]) as u64)); let x75: u64 = (((arg1[14]) as u64) * ((arg2[12]) as u64)); let x76: u64 = (((arg1[14]) as u64) * ((arg2[11]) as u64)); let x77: u64 = (((arg1[14]) as u64) * ((arg2[10]) as u64)); let x78: u64 = (((arg1[14]) as u64) * ((arg2[9]) as u64)); let x79: u64 = (((arg1[14]) as u64) * ((arg2[8]) as u64)); let x80: u64 = (((arg1[14]) as u64) * ((arg2[7]) as u64)); let x81: u64 = (((arg1[14]) as u64) * ((arg2[6]) as u64)); let x82: u64 = (((arg1[14]) as u64) * ((arg2[5]) as u64)); let x83: u64 = (((arg1[14]) as u64) * ((arg2[4]) as u64)); let x84: u64 = (((arg1[14]) as u64) * ((arg2[3]) as u64)); let x85: u64 = (((arg1[14]) as u64) * ((arg2[2]) as u64)); let x86: u64 = (((arg1[13]) as u64) * ((arg2[15]) as u64)); let x87: u64 = (((arg1[13]) as u64) * ((arg2[14]) as u64)); let x88: u64 = (((arg1[13]) as u64) * ((arg2[13]) as u64)); let x89: u64 = (((arg1[13]) as u64) * ((arg2[12]) as u64)); let x90: u64 = (((arg1[13]) as u64) * ((arg2[11]) as u64)); let x91: u64 = (((arg1[13]) as u64) * ((arg2[10]) as u64)); let x92: u64 = (((arg1[13]) as u64) * ((arg2[9]) as u64)); let x93: u64 = (((arg1[13]) as u64) * ((arg2[8]) as u64)); let x94: u64 = (((arg1[13]) as u64) * ((arg2[7]) as u64)); let x95: u64 = (((arg1[13]) as u64) * ((arg2[6]) as u64)); let x96: u64 = (((arg1[13]) as u64) * ((arg2[5]) as u64)); let x97: u64 = (((arg1[13]) as u64) * ((arg2[4]) as u64)); let x98: u64 = (((arg1[13]) as u64) * ((arg2[3]) as u64)); let x99: u64 = (((arg1[12]) as u64) * ((arg2[15]) as u64)); let x100: u64 = (((arg1[12]) as u64) * ((arg2[14]) as u64)); let x101: u64 = (((arg1[12]) as u64) * ((arg2[13]) as u64)); let x102: u64 = (((arg1[12]) as u64) * ((arg2[12]) as u64)); let x103: u64 = (((arg1[12]) as u64) * ((arg2[11]) as u64)); let x104: u64 = (((arg1[12]) as u64) * ((arg2[10]) as u64)); let x105: u64 = (((arg1[12]) as u64) * ((arg2[9]) as u64)); let x106: u64 = (((arg1[12]) as u64) * ((arg2[8]) as u64)); let x107: u64 = (((arg1[12]) as u64) * ((arg2[7]) as u64)); let x108: u64 = (((arg1[12]) as u64) * ((arg2[6]) as u64)); let x109: u64 = (((arg1[12]) as u64) * ((arg2[5]) as u64)); let x110: u64 = (((arg1[12]) as u64) * ((arg2[4]) as u64)); let x111: u64 = (((arg1[11]) as u64) * ((arg2[15]) as u64)); let x112: u64 = (((arg1[11]) as u64) * ((arg2[14]) as u64)); let x113: u64 = (((arg1[11]) as u64) * ((arg2[13]) as u64)); let x114: u64 = (((arg1[11]) as u64) * ((arg2[12]) as u64)); let x115: u64 = (((arg1[11]) as u64) * ((arg2[11]) as u64)); let x116: u64 = (((arg1[11]) as u64) * ((arg2[10]) as u64)); let x117: u64 = (((arg1[11]) as u64) * ((arg2[9]) as u64)); let x118: u64 = (((arg1[11]) as u64) * ((arg2[8]) as u64)); let x119: u64 = (((arg1[11]) as u64) * ((arg2[7]) as u64)); let x120: u64 = (((arg1[11]) as u64) * ((arg2[6]) as u64)); let x121: u64 = (((arg1[11]) as u64) * ((arg2[5]) as u64)); let x122: u64 = (((arg1[10]) as u64) * ((arg2[15]) as u64)); let x123: u64 = (((arg1[10]) as u64) * ((arg2[14]) as u64)); let x124: u64 = (((arg1[10]) as u64) * ((arg2[13]) as u64)); let x125: u64 = (((arg1[10]) as u64) * ((arg2[12]) as u64)); let x126: u64 = (((arg1[10]) as u64) * ((arg2[11]) as u64)); let x127: u64 = (((arg1[10]) as u64) * ((arg2[10]) as u64)); let x128: u64 = (((arg1[10]) as u64) * ((arg2[9]) as u64)); let x129: u64 = (((arg1[10]) as u64) * ((arg2[8]) as u64)); let x130: u64 = (((arg1[10]) as u64) * ((arg2[7]) as u64)); let x131: u64 = (((arg1[10]) as u64) * ((arg2[6]) as u64)); let x132: u64 = (((arg1[9]) as u64) * ((arg2[15]) as u64)); let x133: u64 = (((arg1[9]) as u64) * ((arg2[14]) as u64)); let x134: u64 = (((arg1[9]) as u64) * ((arg2[13]) as u64)); let x135: u64 = (((arg1[9]) as u64) * ((arg2[12]) as u64)); let x136: u64 = (((arg1[9]) as u64) * ((arg2[11]) as u64)); let x137: u64 = (((arg1[9]) as u64) * ((arg2[10]) as u64)); let x138: u64 = (((arg1[9]) as u64) * ((arg2[9]) as u64)); let x139: u64 = (((arg1[9]) as u64) * ((arg2[8]) as u64)); let x140: u64 = (((arg1[9]) as u64) * ((arg2[7]) as u64)); let x141: u64 = (((arg1[8]) as u64) * ((arg2[15]) as u64)); let x142: u64 = (((arg1[8]) as u64) * ((arg2[14]) as u64)); let x143: u64 = (((arg1[8]) as u64) * ((arg2[13]) as u64)); let x144: u64 = (((arg1[8]) as u64) * ((arg2[12]) as u64)); let x145: u64 = (((arg1[8]) as u64) * ((arg2[11]) as u64)); let x146: u64 = (((arg1[8]) as u64) * ((arg2[10]) as u64)); let x147: u64 = (((arg1[8]) as u64) * ((arg2[9]) as u64)); let x148: u64 = (((arg1[8]) as u64) * ((arg2[8]) as u64)); let x149: u64 = (((arg1[7]) as u64) * ((arg2[15]) as u64)); let x150: u64 = (((arg1[7]) as u64) * ((arg2[14]) as u64)); let x151: u64 = (((arg1[7]) as u64) * ((arg2[13]) as u64)); let x152: u64 = (((arg1[7]) as u64) * ((arg2[12]) as u64)); let x153: u64 = (((arg1[7]) as u64) * ((arg2[11]) as u64)); let x154: u64 = (((arg1[7]) as u64) * ((arg2[10]) as u64)); let x155: u64 = (((arg1[7]) as u64) * ((arg2[9]) as u64)); let x156: u64 = (((arg1[6]) as u64) * ((arg2[15]) as u64)); let x157: u64 = (((arg1[6]) as u64) * ((arg2[14]) as u64)); let x158: u64 = (((arg1[6]) as u64) * ((arg2[13]) as u64)); let x159: u64 = (((arg1[6]) as u64) * ((arg2[12]) as u64)); let x160: u64 = (((arg1[6]) as u64) * ((arg2[11]) as u64)); let x161: u64 = (((arg1[6]) as u64) * ((arg2[10]) as u64)); let x162: u64 = (((arg1[5]) as u64) * ((arg2[15]) as u64)); let x163: u64 = (((arg1[5]) as u64) * ((arg2[14]) as u64)); let x164: u64 = (((arg1[5]) as u64) * ((arg2[13]) as u64)); let x165: u64 = (((arg1[5]) as u64) * ((arg2[12]) as u64)); let x166: u64 = (((arg1[5]) as u64) * ((arg2[11]) as u64)); let x167: u64 = (((arg1[4]) as u64) * ((arg2[15]) as u64)); let x168: u64 = (((arg1[4]) as u64) * ((arg2[14]) as u64)); let x169: u64 = (((arg1[4]) as u64) * ((arg2[13]) as u64)); let x170: u64 = (((arg1[4]) as u64) * ((arg2[12]) as u64)); let x171: u64 = (((arg1[3]) as u64) * ((arg2[15]) as u64)); let x172: u64 = (((arg1[3]) as u64) * ((arg2[14]) as u64)); let x173: u64 = (((arg1[3]) as u64) * ((arg2[13]) as u64)); let x174: u64 = (((arg1[2]) as u64) * ((arg2[15]) as u64)); let x175: u64 = (((arg1[2]) as u64) * ((arg2[14]) as u64)); let x176: u64 = (((arg1[1]) as u64) * ((arg2[15]) as u64)); let x177: u64 = (((arg1[15]) as u64) * ((arg2[8]) as u64)); let x178: u64 = (((arg1[15]) as u64) * ((arg2[7]) as u64)); let x179: u64 = (((arg1[15]) as u64) * ((arg2[6]) as u64)); let x180: u64 = (((arg1[15]) as u64) * ((arg2[5]) as u64)); let x181: u64 = (((arg1[15]) as u64) * ((arg2[4]) as u64)); let x182: u64 = (((arg1[15]) as u64) * ((arg2[3]) as u64)); let x183: u64 = (((arg1[15]) as u64) * ((arg2[2]) as u64)); let x184: u64 = (((arg1[15]) as u64) * ((arg2[1]) as u64)); let x185: u64 = (((arg1[14]) as u64) * ((arg2[9]) as u64)); let x186: u64 = (((arg1[14]) as u64) * ((arg2[8]) as u64)); let x187: u64 = (((arg1[14]) as u64) * ((arg2[7]) as u64)); let x188: u64 = (((arg1[14]) as u64) * ((arg2[6]) as u64)); let x189: u64 = (((arg1[14]) as u64) * ((arg2[5]) as u64)); let x190: u64 = (((arg1[14]) as u64) * ((arg2[4]) as u64)); let x191: u64 = (((arg1[14]) as u64) * ((arg2[3]) as u64)); let x192: u64 = (((arg1[14]) as u64) * ((arg2[2]) as u64)); let x193: u64 = (((arg1[13]) as u64) * ((arg2[10]) as u64)); let x194: u64 = (((arg1[13]) as u64) * ((arg2[9]) as u64)); let x195: u64 = (((arg1[13]) as u64) * ((arg2[8]) as u64)); let x196: u64 = (((arg1[13]) as u64) * ((arg2[7]) as u64)); let x197: u64 = (((arg1[13]) as u64) * ((arg2[6]) as u64)); let x198: u64 = (((arg1[13]) as u64) * ((arg2[5]) as u64)); let x199: u64 = (((arg1[13]) as u64) * ((arg2[4]) as u64)); let x200: u64 = (((arg1[13]) as u64) * ((arg2[3]) as u64)); let x201: u64 = (((arg1[12]) as u64) * ((arg2[11]) as u64)); let x202: u64 = (((arg1[12]) as u64) * ((arg2[10]) as u64)); let x203: u64 = (((arg1[12]) as u64) * ((arg2[9]) as u64)); let x204: u64 = (((arg1[12]) as u64) * ((arg2[8]) as u64)); let x205: u64 = (((arg1[12]) as u64) * ((arg2[7]) as u64)); let x206: u64 = (((arg1[12]) as u64) * ((arg2[6]) as u64)); let x207: u64 = (((arg1[12]) as u64) * ((arg2[5]) as u64)); let x208: u64 = (((arg1[12]) as u64) * ((arg2[4]) as u64)); let x209: u64 = (((arg1[11]) as u64) * ((arg2[12]) as u64)); let x210: u64 = (((arg1[11]) as u64) * ((arg2[11]) as u64)); let x211: u64 = (((arg1[11]) as u64) * ((arg2[10]) as u64)); let x212: u64 = (((arg1[11]) as u64) * ((arg2[9]) as u64)); let x213: u64 = (((arg1[11]) as u64) * ((arg2[8]) as u64)); let x214: u64 = (((arg1[11]) as u64) * ((arg2[7]) as u64)); let x215: u64 = (((arg1[11]) as u64) * ((arg2[6]) as u64)); let x216: u64 = (((arg1[11]) as u64) * ((arg2[5]) as u64)); let x217: u64 = (((arg1[10]) as u64) * ((arg2[13]) as u64)); let x218: u64 = (((arg1[10]) as u64) * ((arg2[12]) as u64)); let x219: u64 = (((arg1[10]) as u64) * ((arg2[11]) as u64)); let x220: u64 = (((arg1[10]) as u64) * ((arg2[10]) as u64)); let x221: u64 = (((arg1[10]) as u64) * ((arg2[9]) as u64)); let x222: u64 = (((arg1[10]) as u64) * ((arg2[8]) as u64)); let x223: u64 = (((arg1[10]) as u64) * ((arg2[7]) as u64)); let x224: u64 = (((arg1[10]) as u64) * ((arg2[6]) as u64)); let x225: u64 = (((arg1[9]) as u64) * ((arg2[14]) as u64)); let x226: u64 = (((arg1[9]) as u64) * ((arg2[13]) as u64)); let x227: u64 = (((arg1[9]) as u64) * ((arg2[12]) as u64)); let x228: u64 = (((arg1[9]) as u64) * ((arg2[11]) as u64)); let x229: u64 = (((arg1[9]) as u64) * ((arg2[10]) as u64)); let x230: u64 = (((arg1[9]) as u64) * ((arg2[9]) as u64)); let x231: u64 = (((arg1[9]) as u64) * ((arg2[8]) as u64)); let x232: u64 = (((arg1[9]) as u64) * ((arg2[7]) as u64)); let x233: u64 = (((arg1[8]) as u64) * ((arg2[15]) as u64)); let x234: u64 = (((arg1[8]) as u64) * ((arg2[14]) as u64)); let x235: u64 = (((arg1[8]) as u64) * ((arg2[13]) as u64)); let x236: u64 = (((arg1[8]) as u64) * ((arg2[12]) as u64)); let x237: u64 = (((arg1[8]) as u64) * ((arg2[11]) as u64)); let x238: u64 = (((arg1[8]) as u64) * ((arg2[10]) as u64)); let x239: u64 = (((arg1[8]) as u64) * ((arg2[9]) as u64)); let x240: u64 = (((arg1[8]) as u64) * ((arg2[8]) as u64)); let x241: u64 = (((arg1[7]) as u64) * ((arg2[15]) as u64)); let x242: u64 = (((arg1[7]) as u64) * ((arg2[14]) as u64)); let x243: u64 = (((arg1[7]) as u64) * ((arg2[13]) as u64)); let x244: u64 = (((arg1[7]) as u64) * ((arg2[12]) as u64)); let x245: u64 = (((arg1[7]) as u64) * ((arg2[11]) as u64)); let x246: u64 = (((arg1[7]) as u64) * ((arg2[10]) as u64)); let x247: u64 = (((arg1[7]) as u64) * ((arg2[9]) as u64)); let x248: u64 = (((arg1[6]) as u64) * ((arg2[15]) as u64)); let x249: u64 = (((arg1[6]) as u64) * ((arg2[14]) as u64)); let x250: u64 = (((arg1[6]) as u64) * ((arg2[13]) as u64)); let x251: u64 = (((arg1[6]) as u64) * ((arg2[12]) as u64)); let x252: u64 = (((arg1[6]) as u64) * ((arg2[11]) as u64)); let x253: u64 = (((arg1[6]) as u64) * ((arg2[10]) as u64)); let x254: u64 = (((arg1[5]) as u64) * ((arg2[15]) as u64)); let x255: u64 = (((arg1[5]) as u64) * ((arg2[14]) as u64)); let x256: u64 = (((arg1[5]) as u64) * ((arg2[13]) as u64)); let x257: u64 = (((arg1[5]) as u64) * ((arg2[12]) as u64)); let x258: u64 = (((arg1[5]) as u64) * ((arg2[11]) as u64)); let x259: u64 = (((arg1[4]) as u64) * ((arg2[15]) as u64)); let x260: u64 = (((arg1[4]) as u64) * ((arg2[14]) as u64)); let x261: u64 = (((arg1[4]) as u64) * ((arg2[13]) as u64)); let x262: u64 = (((arg1[4]) as u64) * ((arg2[12]) as u64)); let x263: u64 = (((arg1[3]) as u64) * ((arg2[15]) as u64)); let x264: u64 = (((arg1[3]) as u64) * ((arg2[14]) as u64)); let x265: u64 = (((arg1[3]) as u64) * ((arg2[13]) as u64)); let x266: u64 = (((arg1[2]) as u64) * ((arg2[15]) as u64)); let x267: u64 = (((arg1[2]) as u64) * ((arg2[14]) as u64)); let x268: u64 = (((arg1[1]) as u64) * ((arg2[15]) as u64)); let x269: u64 = (((arg1[15]) as u64) * ((arg2[0]) as u64)); let x270: u64 = (((arg1[14]) as u64) * ((arg2[1]) as u64)); let x271: u64 = (((arg1[14]) as u64) * ((arg2[0]) as u64)); let x272: u64 = (((arg1[13]) as u64) * ((arg2[2]) as u64)); let x273: u64 = (((arg1[13]) as u64) * ((arg2[1]) as u64)); let x274: u64 = (((arg1[13]) as u64) * ((arg2[0]) as u64)); let x275: u64 = (((arg1[12]) as u64) * ((arg2[3]) as u64)); let x276: u64 = (((arg1[12]) as u64) * ((arg2[2]) as u64)); let x277: u64 = (((arg1[12]) as u64) * ((arg2[1]) as u64)); let x278: u64 = (((arg1[12]) as u64) * ((arg2[0]) as u64)); let x279: u64 = (((arg1[11]) as u64) * ((arg2[4]) as u64)); let x280: u64 = (((arg1[11]) as u64) * ((arg2[3]) as u64)); let x281: u64 = (((arg1[11]) as u64) * ((arg2[2]) as u64)); let x282: u64 = (((arg1[11]) as u64) * ((arg2[1]) as u64)); let x283: u64 = (((arg1[11]) as u64) * ((arg2[0]) as u64)); let x284: u64 = (((arg1[10]) as u64) * ((arg2[5]) as u64)); let x285: u64 = (((arg1[10]) as u64) * ((arg2[4]) as u64)); let x286: u64 = (((arg1[10]) as u64) * ((arg2[3]) as u64)); let x287: u64 = (((arg1[10]) as u64) * ((arg2[2]) as u64)); let x288: u64 = (((arg1[10]) as u64) * ((arg2[1]) as u64)); let x289: u64 = (((arg1[10]) as u64) * ((arg2[0]) as u64)); let x290: u64 = (((arg1[9]) as u64) * ((arg2[6]) as u64)); let x291: u64 = (((arg1[9]) as u64) * ((arg2[5]) as u64)); let x292: u64 = (((arg1[9]) as u64) * ((arg2[4]) as u64)); let x293: u64 = (((arg1[9]) as u64) * ((arg2[3]) as u64)); let x294: u64 = (((arg1[9]) as u64) * ((arg2[2]) as u64)); let x295: u64 = (((arg1[9]) as u64) * ((arg2[1]) as u64)); let x296: u64 = (((arg1[9]) as u64) * ((arg2[0]) as u64)); let x297: u64 = (((arg1[8]) as u64) * ((arg2[7]) as u64)); let x298: u64 = (((arg1[8]) as u64) * ((arg2[6]) as u64)); let x299: u64 = (((arg1[8]) as u64) * ((arg2[5]) as u64)); let x300: u64 = (((arg1[8]) as u64) * ((arg2[4]) as u64)); let x301: u64 = (((arg1[8]) as u64) * ((arg2[3]) as u64)); let x302: u64 = (((arg1[8]) as u64) * ((arg2[2]) as u64)); let x303: u64 = (((arg1[8]) as u64) * ((arg2[1]) as u64)); let x304: u64 = (((arg1[8]) as u64) * ((arg2[0]) as u64)); let x305: u64 = (((arg1[7]) as u64) * ((arg2[8]) as u64)); let x306: u64 = (((arg1[7]) as u64) * ((arg2[7]) as u64)); let x307: u64 = (((arg1[7]) as u64) * ((arg2[6]) as u64)); let x308: u64 = (((arg1[7]) as u64) * ((arg2[5]) as u64)); let x309: u64 = (((arg1[7]) as u64) * ((arg2[4]) as u64)); let x310: u64 = (((arg1[7]) as u64) * ((arg2[3]) as u64)); let x311: u64 = (((arg1[7]) as u64) * ((arg2[2]) as u64)); let x312: u64 = (((arg1[7]) as u64) * ((arg2[1]) as u64)); let x313: u64 = (((arg1[7]) as u64) * ((arg2[0]) as u64)); let x314: u64 = (((arg1[6]) as u64) * ((arg2[9]) as u64)); let x315: u64 = (((arg1[6]) as u64) * ((arg2[8]) as u64)); let x316: u64 = (((arg1[6]) as u64) * ((arg2[7]) as u64)); let x317: u64 = (((arg1[6]) as u64) * ((arg2[6]) as u64)); let x318: u64 = (((arg1[6]) as u64) * ((arg2[5]) as u64)); let x319: u64 = (((arg1[6]) as u64) * ((arg2[4]) as u64)); let x320: u64 = (((arg1[6]) as u64) * ((arg2[3]) as u64)); let x321: u64 = (((arg1[6]) as u64) * ((arg2[2]) as u64)); let x322: u64 = (((arg1[6]) as u64) * ((arg2[1]) as u64)); let x323: u64 = (((arg1[6]) as u64) * ((arg2[0]) as u64)); let x324: u64 = (((arg1[5]) as u64) * ((arg2[10]) as u64)); let x325: u64 = (((arg1[5]) as u64) * ((arg2[9]) as u64)); let x326: u64 = (((arg1[5]) as u64) * ((arg2[8]) as u64)); let x327: u64 = (((arg1[5]) as u64) * ((arg2[7]) as u64)); let x328: u64 = (((arg1[5]) as u64) * ((arg2[6]) as u64)); let x329: u64 = (((arg1[5]) as u64) * ((arg2[5]) as u64)); let x330: u64 = (((arg1[5]) as u64) * ((arg2[4]) as u64)); let x331: u64 = (((arg1[5]) as u64) * ((arg2[3]) as u64)); let x332: u64 = (((arg1[5]) as u64) * ((arg2[2]) as u64)); let x333: u64 = (((arg1[5]) as u64) * ((arg2[1]) as u64)); let x334: u64 = (((arg1[5]) as u64) * ((arg2[0]) as u64)); let x335: u64 = (((arg1[4]) as u64) * ((arg2[11]) as u64)); let x336: u64 = (((arg1[4]) as u64) * ((arg2[10]) as u64)); let x337: u64 = (((arg1[4]) as u64) * ((arg2[9]) as u64)); let x338: u64 = (((arg1[4]) as u64) * ((arg2[8]) as u64)); let x339: u64 = (((arg1[4]) as u64) * ((arg2[7]) as u64)); let x340: u64 = (((arg1[4]) as u64) * ((arg2[6]) as u64)); let x341: u64 = (((arg1[4]) as u64) * ((arg2[5]) as u64)); let x342: u64 = (((arg1[4]) as u64) * ((arg2[4]) as u64)); let x343: u64 = (((arg1[4]) as u64) * ((arg2[3]) as u64)); let x344: u64 = (((arg1[4]) as u64) * ((arg2[2]) as u64)); let x345: u64 = (((arg1[4]) as u64) * ((arg2[1]) as u64)); let x346: u64 = (((arg1[4]) as u64) * ((arg2[0]) as u64)); let x347: u64 = (((arg1[3]) as u64) * ((arg2[12]) as u64)); let x348: u64 = (((arg1[3]) as u64) * ((arg2[11]) as u64)); let x349: u64 = (((arg1[3]) as u64) * ((arg2[10]) as u64)); let x350: u64 = (((arg1[3]) as u64) * ((arg2[9]) as u64)); let x351: u64 = (((arg1[3]) as u64) * ((arg2[8]) as u64)); let x352: u64 = (((arg1[3]) as u64) * ((arg2[7]) as u64)); let x353: u64 = (((arg1[3]) as u64) * ((arg2[6]) as u64)); let x354: u64 = (((arg1[3]) as u64) * ((arg2[5]) as u64)); let x355: u64 = (((arg1[3]) as u64) * ((arg2[4]) as u64)); let x356: u64 = (((arg1[3]) as u64) * ((arg2[3]) as u64)); let x357: u64 = (((arg1[3]) as u64) * ((arg2[2]) as u64)); let x358: u64 = (((arg1[3]) as u64) * ((arg2[1]) as u64)); let x359: u64 = (((arg1[3]) as u64) * ((arg2[0]) as u64)); let x360: u64 = (((arg1[2]) as u64) * ((arg2[13]) as u64)); let x361: u64 = (((arg1[2]) as u64) * ((arg2[12]) as u64)); let x362: u64 = (((arg1[2]) as u64) * ((arg2[11]) as u64)); let x363: u64 = (((arg1[2]) as u64) * ((arg2[10]) as u64)); let x364: u64 = (((arg1[2]) as u64) * ((arg2[9]) as u64)); let x365: u64 = (((arg1[2]) as u64) * ((arg2[8]) as u64)); let x366: u64 = (((arg1[2]) as u64) * ((arg2[7]) as u64)); let x367: u64 = (((arg1[2]) as u64) * ((arg2[6]) as u64)); let x368: u64 = (((arg1[2]) as u64) * ((arg2[5]) as u64)); let x369: u64 = (((arg1[2]) as u64) * ((arg2[4]) as u64)); let x370: u64 = (((arg1[2]) as u64) * ((arg2[3]) as u64)); let x371: u64 = (((arg1[2]) as u64) * ((arg2[2]) as u64)); let x372: u64 = (((arg1[2]) as u64) * ((arg2[1]) as u64)); let x373: u64 = (((arg1[2]) as u64) * ((arg2[0]) as u64)); let x374: u64 = (((arg1[1]) as u64) * ((arg2[14]) as u64)); let x375: u64 = (((arg1[1]) as u64) * ((arg2[13]) as u64)); let x376: u64 = (((arg1[1]) as u64) * ((arg2[12]) as u64)); let x377: u64 = (((arg1[1]) as u64) * ((arg2[11]) as u64)); let x378: u64 = (((arg1[1]) as u64) * ((arg2[10]) as u64)); let x379: u64 = (((arg1[1]) as u64) * ((arg2[9]) as u64)); let x380: u64 = (((arg1[1]) as u64) * ((arg2[8]) as u64)); let x381: u64 = (((arg1[1]) as u64) * ((arg2[7]) as u64)); let x382: u64 = (((arg1[1]) as u64) * ((arg2[6]) as u64)); let x383: u64 = (((arg1[1]) as u64) * ((arg2[5]) as u64)); let x384: u64 = (((arg1[1]) as u64) * ((arg2[4]) as u64)); let x385: u64 = (((arg1[1]) as u64) * ((arg2[3]) as u64)); let x386: u64 = (((arg1[1]) as u64) * ((arg2[2]) as u64)); let x387: u64 = (((arg1[1]) as u64) * ((arg2[1]) as u64)); let x388: u64 = (((arg1[1]) as u64) * ((arg2[0]) as u64)); let x389: u64 = (((arg1[0]) as u64) * ((arg2[15]) as u64)); let x390: u64 = (((arg1[0]) as u64) * ((arg2[14]) as u64)); let x391: u64 = (((arg1[0]) as u64) * ((arg2[13]) as u64)); let x392: u64 = (((arg1[0]) as u64) * ((arg2[12]) as u64)); let x393: u64 = (((arg1[0]) as u64) * ((arg2[11]) as u64)); let x394: u64 = (((arg1[0]) as u64) * ((arg2[10]) as u64)); let x395: u64 = (((arg1[0]) as u64) * ((arg2[9]) as u64)); let x396: u64 = (((arg1[0]) as u64) * ((arg2[8]) as u64)); let x397: u64 = (((arg1[0]) as u64) * ((arg2[7]) as u64)); let x398: u64 = (((arg1[0]) as u64) * ((arg2[6]) as u64)); let x399: u64 = (((arg1[0]) as u64) * ((arg2[5]) as u64)); let x400: u64 = (((arg1[0]) as u64) * ((arg2[4]) as u64)); let x401: u64 = (((arg1[0]) as u64) * ((arg2[3]) as u64)); let x402: u64 = (((arg1[0]) as u64) * ((arg2[2]) as u64)); let x403: u64 = (((arg1[0]) as u64) * ((arg2[1]) as u64)); let x404: u64 = (((arg1[0]) as u64) * ((arg2[0]) as u64)); let x405: u64 = (x397 + (x382 + (x368 + (x355 + (x343 + (x332 + (x322 + (x313 + (x141 + (x133 + (x124 + (x114 + (x103 + (x91 + (x78 + x64))))))))))))))); let x406: u64 = (x405 >> 28); let x407: u32 = ((x405 & (0xfffffff as u64)) as u32); let x408: u64 = (x389 + (x374 + (x360 + (x347 + (x335 + (x324 + (x314 + (x305 + (x297 + (x290 + (x284 + (x279 + (x275 + (x272 + (x270 + (x269 + (x233 + (x225 + (x217 + (x209 + (x201 + (x193 + (x185 + x177))))))))))))))))))))))); let x409: u64 = (x390 + (x375 + (x361 + (x348 + (x336 + (x325 + (x315 + (x306 + (x298 + (x291 + (x285 + (x280 + (x276 + (x273 + (x271 + (x241 + (x234 + (x226 + (x218 + (x210 + (x202 + (x194 + (x186 + (x178 + (x57 + x29))))))))))))))))))))))))); let x410: u64 = (x391 + (x376 + (x362 + (x349 + (x337 + (x326 + (x316 + (x307 + (x299 + (x292 + (x286 + (x281 + (x277 + (x274 + (x248 + (x242 + (x235 + (x227 + (x219 + (x211 + (x203 + (x195 + (x187 + (x179 + (x72 + (x58 + (x36 + x30))))))))))))))))))))))))))); let x411: u128 = ((x392 as u128) + ((x377 as u128) + ((x363 + (x350 + (x338 + (x327 + (x317 + (x308 + (x300 + (x293 + (x287 + (x282 + (x278 + (x254 + (x249 + (x243 + (x236 + (x228 + (x220 + (x212 + (x204 + (x196 + (x188 + (x180 + (x86 + (x73 + (x59 + (x42 + (x37 + x31))))))))))))))))))))))))))) as u128))); let x412: u128 = ((x393 as u128) + ((x378 as u128) + ((x364 as u128) + ((x351 as u128) + ((x339 + (x328 + (x318 + (x309 + (x301 + (x294 + (x288 + (x283 + (x259 + (x255 + (x250 + (x244 + (x237 + (x229 + (x221 + (x213 + (x205 + (x197 + (x189 + (x181 + (x99 + (x87 + (x74 + (x60 + (x47 + (x43 + (x38 + x32))))))))))))))))))))))))))) as u128))))); let x413: u128 = ((x394 as u128) + ((x379 as u128) + ((x365 as u128) + ((x352 as u128) + ((x340 as u128) + ((x329 as u128) + ((x319 + (x310 + (x302 + (x295 + (x289 + (x263 + (x260 + (x256 + (x251 + (x245 + (x238 + (x230 + (x222 + (x214 + (x206 + (x198 + (x190 + (x182 + (x111 + (x100 + (x88 + (x75 + (x61 + (x51 + (x48 + (x44 + (x39 + x33))))))))))))))))))))))))))) as u128))))))); let x414: u128 = ((x395 as u128) + ((x380 as u128) + ((x366 as u128) + ((x353 as u128) + ((x341 as u128) + ((x330 as u128) + ((x320 as u128) + ((x311 as u128) + ((x303 + (x296 + (x266 + (x264 + (x261 + (x257 + (x252 + (x246 + (x239 + (x231 + (x223 + (x215 + (x207 + (x199 + (x191 + (x183 + (x122 + (x112 + (x101 + (x89 + (x76 + (x62 + (x54 + (x52 + (x49 + (x45 + (x40 + x34))))))))))))))))))))))))))) as u128))))))))); let x415: u128 = ((x396 as u128) + ((x381 as u128) + ((x367 as u128) + ((x354 as u128) + ((x342 as u128) + ((x331 as u128) + ((x321 as u128) + ((x312 as u128) + ((x304 as u128) + ((x268 as u128) + ((x267 + (x265 + (x262 + (x258 + (x253 + (x247 + (x240 + (x232 + (x224 + (x216 + (x208 + (x200 + (x192 + (x184 + (x132 + (x123 + (x113 + (x102 + (x90 + (x77 + (x63 + (x56 + (x55 + (x53 + (x50 + (x46 + (x41 + x35))))))))))))))))))))))))))) as u128))))))))))); let x416: u64 = (x398 + (x383 + (x369 + (x356 + (x344 + (x333 + (x323 + (x149 + (x142 + (x134 + (x125 + (x115 + (x104 + (x92 + (x79 + (x65 + x1)))))))))))))))); let x417: u64 = (x399 + (x384 + (x370 + (x357 + (x345 + (x334 + (x156 + (x150 + (x143 + (x135 + (x126 + (x116 + (x105 + (x93 + (x80 + (x66 + (x8 + x2))))))))))))))))); let x418: u64 = (x400 + (x385 + (x371 + (x358 + (x346 + (x162 + (x157 + (x151 + (x144 + (x136 + (x127 + (x117 + (x106 + (x94 + (x81 + (x67 + (x14 + (x9 + x3)))))))))))))))))); let x419: u64 = (x401 + (x386 + (x372 + (x359 + (x167 + (x163 + (x158 + (x152 + (x145 + (x137 + (x128 + (x118 + (x107 + (x95 + (x82 + (x68 + (x19 + (x15 + (x10 + x4))))))))))))))))))); let x420: u64 = (x402 + (x387 + (x373 + (x171 + (x168 + (x164 + (x159 + (x153 + (x146 + (x138 + (x129 + (x119 + (x108 + (x96 + (x83 + (x69 + (x23 + (x20 + (x16 + (x11 + x5)))))))))))))))))))); let x421: u64 = (x403 + (x388 + (x174 + (x172 + (x169 + (x165 + (x160 + (x154 + (x147 + (x139 + (x130 + (x120 + (x109 + (x97 + (x84 + (x70 + (x26 + (x24 + (x21 + (x17 + (x12 + x6))))))))))))))))))))); let x422: u64 = (x404 + (x176 + (x175 + (x173 + (x170 + (x166 + (x161 + (x155 + (x148 + (x140 + (x131 + (x121 + (x110 + (x98 + (x85 + (x71 + (x28 + (x27 + (x25 + (x22 + (x18 + (x13 + x7)))))))))))))))))))))); let x423: u128 = ((x406 as u128) + x415); let x424: u64 = (x408 >> 28); let x425: u32 = ((x408 & (0xfffffff as u64)) as u32); let x426: u128 = (x423 + (x424 as u128)); let x427: u64 = ((x426 >> 28) as u64); let x428: u32 = ((x426 & (0xfffffff as u128)) as u32); let x429: u64 = (x422 + x424); let x430: u128 = ((x427 as u128) + x414); let x431: u64 = (x429 >> 28); let x432: u32 = ((x429 & (0xfffffff as u64)) as u32); let x433: u64 = (x431 + x421); let x434: u64 = ((x430 >> 28) as u64); let x435: u32 = ((x430 & (0xfffffff as u128)) as u32); let x436: u128 = ((x434 as u128) + x413); let x437: u64 = (x433 >> 28); let x438: u32 = ((x433 & (0xfffffff as u64)) as u32); let x439: u64 = (x437 + x420); let x440: u64 = ((x436 >> 28) as u64); let x441: u32 = ((x436 & (0xfffffff as u128)) as u32); let x442: u128 = ((x440 as u128) + x412); let x443: u64 = (x439 >> 28); let x444: u32 = ((x439 & (0xfffffff as u64)) as u32); let x445: u64 = (x443 + x419); let x446: u64 = ((x442 >> 28) as u64); let x447: u32 = ((x442 & (0xfffffff as u128)) as u32); let x448: u128 = ((x446 as u128) + x411); let x449: u64 = (x445 >> 28); let x450: u32 = ((x445 & (0xfffffff as u64)) as u32); let x451: u64 = (x449 + x418); let x452: u64 = ((x448 >> 28) as u64); let x453: u32 = ((x448 & (0xfffffff as u128)) as u32); let x454: u64 = (x452 + x410); let x455: u64 = (x451 >> 28); let x456: u32 = ((x451 & (0xfffffff as u64)) as u32); let x457: u64 = (x455 + x417); let x458: u64 = (x454 >> 28); let x459: u32 = ((x454 & (0xfffffff as u64)) as u32); let x460: u64 = (x458 + x409); let x461: u64 = (x457 >> 28); let x462: u32 = ((x457 & (0xfffffff as u64)) as u32); let x463: u64 = (x461 + x416); let x464: u64 = (x460 >> 28); let x465: u32 = ((x460 & (0xfffffff as u64)) as u32); let x466: u64 = (x464 + (x425 as u64)); let x467: u64 = (x463 >> 28); let x468: u32 = ((x463 & (0xfffffff as u64)) as u32); let x469: u64 = (x467 + (x407 as u64)); let x470: u32 = ((x466 >> 28) as u32); let x471: u32 = ((x466 & (0xfffffff as u64)) as u32); let x472: u32 = ((x469 >> 28) as u32); let x473: u32 = ((x469 & (0xfffffff as u64)) as u32); let x474: u32 = (x428 + x470); let x475: u32 = (x432 + x470); let x476: u32 = (x472 + x474); let x477: fiat_p448_u1 = ((x476 >> 28) as fiat_p448_u1); let x478: u32 = (x476 & 0xfffffff); let x479: u32 = ((x477 as u32) + x435); let x480: fiat_p448_u1 = ((x475 >> 28) as fiat_p448_u1); let x481: u32 = (x475 & 0xfffffff); let x482: u32 = ((x480 as u32) + x438); out1[0] = x481; out1[1] = x482; out1[2] = x444; out1[3] = x450; out1[4] = x456; out1[5] = x462; out1[6] = x468; out1[7] = x473; out1[8] = x478; out1[9] = x479; out1[10] = x441; out1[11] = x447; out1[12] = x453; out1[13] = x459; out1[14] = x465; out1[15] = x471; } /// The function fiat_p448_carry_square squares a field element and reduces the result. /// /// Postconditions: /// eval out1 mod m = (eval arg1 * eval arg1) mod m /// #[inline] pub fn fiat_p448_carry_square(out1: &mut fiat_p448_tight_field_element, arg1: &fiat_p448_loose_field_element) { let x1: u32 = (arg1[15]); let x2: u32 = (arg1[15]); let x3: u32 = (x1 * 0x2); let x4: u32 = (x2 * 0x2); let x5: u32 = ((arg1[15]) * 0x2); let x6: u32 = (arg1[14]); let x7: u32 = (arg1[14]); let x8: u32 = (x6 * 0x2); let x9: u32 = (x7 * 0x2); let x10: u32 = ((arg1[14]) * 0x2); let x11: u32 = (arg1[13]); let x12: u32 = (arg1[13]); let x13: u32 = (x11 * 0x2); let x14: u32 = (x12 * 0x2); let x15: u32 = ((arg1[13]) * 0x2); let x16: u32 = (arg1[12]); let x17: u32 = (arg1[12]); let x18: u32 = (x16 * 0x2); let x19: u32 = (x17 * 0x2); let x20: u32 = ((arg1[12]) * 0x2); let x21: u32 = (arg1[11]); let x22: u32 = (arg1[11]); let x23: u32 = (x21 * 0x2); let x24: u32 = (x22 * 0x2); let x25: u32 = ((arg1[11]) * 0x2); let x26: u32 = (arg1[10]); let x27: u32 = (arg1[10]); let x28: u32 = (x26 * 0x2); let x29: u32 = (x27 * 0x2); let x30: u32 = ((arg1[10]) * 0x2); let x31: u32 = (arg1[9]); let x32: u32 = (arg1[9]); let x33: u32 = (x31 * 0x2); let x34: u32 = (x32 * 0x2); let x35: u32 = ((arg1[9]) * 0x2); let x36: u32 = (arg1[8]); let x37: u32 = (arg1[8]); let x38: u32 = ((arg1[8]) * 0x2); let x39: u32 = ((arg1[7]) * 0x2); let x40: u32 = ((arg1[6]) * 0x2); let x41: u32 = ((arg1[5]) * 0x2); let x42: u32 = ((arg1[4]) * 0x2); let x43: u32 = ((arg1[3]) * 0x2); let x44: u32 = ((arg1[2]) * 0x2); let x45: u32 = ((arg1[1]) * 0x2); let x46: u64 = (((arg1[15]) as u64) * (x1 as u64)); let x47: u64 = (((arg1[14]) as u64) * (x3 as u64)); let x48: u64 = (((arg1[14]) as u64) * (x6 as u64)); let x49: u64 = (((arg1[13]) as u64) * (x3 as u64)); let x50: u64 = (((arg1[13]) as u64) * (x8 as u64)); let x51: u64 = (((arg1[13]) as u64) * (x11 as u64)); let x52: u64 = (((arg1[12]) as u64) * (x3 as u64)); let x53: u64 = (((arg1[12]) as u64) * (x8 as u64)); let x54: u64 = (((arg1[12]) as u64) * (x13 as u64)); let x55: u64 = (((arg1[12]) as u64) * (x16 as u64)); let x56: u64 = (((arg1[11]) as u64) * (x3 as u64)); let x57: u64 = (((arg1[11]) as u64) * (x8 as u64)); let x58: u64 = (((arg1[11]) as u64) * (x13 as u64)); let x59: u64 = (((arg1[10]) as u64) * (x3 as u64)); let x60: u64 = (((arg1[10]) as u64) * (x8 as u64)); let x61: u64 = (((arg1[9]) as u64) * (x3 as u64)); let x62: u64 = (((arg1[15]) as u64) * (x1 as u64)); let x63: u64 = (((arg1[14]) as u64) * (x3 as u64)); let x64: u64 = (((arg1[14]) as u64) * (x6 as u64)); let x65: u64 = (((arg1[13]) as u64) * (x3 as u64)); let x66: u64 = (((arg1[13]) as u64) * (x8 as u64)); let x67: u64 = (((arg1[13]) as u64) * (x11 as u64)); let x68: u64 = (((arg1[12]) as u64) * (x3 as u64)); let x69: u64 = (((arg1[12]) as u64) * (x8 as u64)); let x70: u64 = (((arg1[12]) as u64) * (x13 as u64)); let x71: u64 = (((arg1[12]) as u64) * (x16 as u64)); let x72: u64 = (((arg1[11]) as u64) * (x3 as u64)); let x73: u64 = (((arg1[11]) as u64) * (x8 as u64)); let x74: u64 = (((arg1[11]) as u64) * (x13 as u64)); let x75: u64 = (((arg1[10]) as u64) * (x3 as u64)); let x76: u64 = (((arg1[10]) as u64) * (x8 as u64)); let x77: u64 = (((arg1[9]) as u64) * (x3 as u64)); let x78: u64 = (((arg1[15]) as u64) * (x2 as u64)); let x79: u64 = (((arg1[14]) as u64) * (x4 as u64)); let x80: u64 = (((arg1[14]) as u64) * (x7 as u64)); let x81: u64 = (((arg1[13]) as u64) * (x4 as u64)); let x82: u64 = (((arg1[13]) as u64) * (x9 as u64)); let x83: u64 = (((arg1[13]) as u64) * (x12 as u64)); let x84: u64 = (((arg1[12]) as u64) * (x4 as u64)); let x85: u64 = (((arg1[12]) as u64) * (x9 as u64)); let x86: u64 = (((arg1[12]) as u64) * (x14 as u64)); let x87: u64 = (((arg1[12]) as u64) * (x17 as u64)); let x88: u64 = (((arg1[11]) as u64) * (x4 as u64)); let x89: u64 = (((arg1[11]) as u64) * (x9 as u64)); let x90: u64 = (((arg1[11]) as u64) * (x14 as u64)); let x91: u64 = (((arg1[11]) as u64) * (x19 as u64)); let x92: u64 = (((arg1[11]) as u64) * (x18 as u64)); let x93: u64 = (((arg1[11]) as u64) * (x22 as u64)); let x94: u64 = (((arg1[11]) as u64) * (x21 as u64)); let x95: u64 = (((arg1[10]) as u64) * (x4 as u64)); let x96: u64 = (((arg1[10]) as u64) * (x9 as u64)); let x97: u64 = (((arg1[10]) as u64) * (x14 as u64)); let x98: u64 = (((arg1[10]) as u64) * (x13 as u64)); let x99: u64 = (((arg1[10]) as u64) * (x19 as u64)); let x100: u64 = (((arg1[10]) as u64) * (x18 as u64)); let x101: u64 = (((arg1[10]) as u64) * (x24 as u64)); let x102: u64 = (((arg1[10]) as u64) * (x23 as u64)); let x103: u64 = (((arg1[10]) as u64) * (x27 as u64)); let x104: u64 = (((arg1[10]) as u64) * (x26 as u64)); let x105: u64 = (((arg1[9]) as u64) * (x4 as u64)); let x106: u64 = (((arg1[9]) as u64) * (x9 as u64)); let x107: u64 = (((arg1[9]) as u64) * (x8 as u64)); let x108: u64 = (((arg1[9]) as u64) * (x14 as u64)); let x109: u64 = (((arg1[9]) as u64) * (x13 as u64)); let x110: u64 = (((arg1[9]) as u64) * (x19 as u64)); let x111: u64 = (((arg1[9]) as u64) * (x18 as u64)); let x112: u64 = (((arg1[9]) as u64) * (x24 as u64)); let x113: u64 = (((arg1[9]) as u64) * (x23 as u64)); let x114: u64 = (((arg1[9]) as u64) * (x29 as u64)); let x115: u64 = (((arg1[9]) as u64) * (x28 as u64)); let x116: u64 = (((arg1[9]) as u64) * (x32 as u64)); let x117: u64 = (((arg1[9]) as u64) * (x31 as u64)); let x118: u64 = (((arg1[8]) as u64) * (x4 as u64)); let x119: u64 = (((arg1[8]) as u64) * (x3 as u64)); let x120: u64 = (((arg1[8]) as u64) * (x9 as u64)); let x121: u64 = (((arg1[8]) as u64) * (x8 as u64)); let x122: u64 = (((arg1[8]) as u64) * (x14 as u64)); let x123: u64 = (((arg1[8]) as u64) * (x13 as u64)); let x124: u64 = (((arg1[8]) as u64) * (x19 as u64)); let x125: u64 = (((arg1[8]) as u64) * (x18 as u64)); let x126: u64 = (((arg1[8]) as u64) * (x24 as u64)); let x127: u64 = (((arg1[8]) as u64) * (x23 as u64)); let x128: u64 = (((arg1[8]) as u64) * (x29 as u64)); let x129: u64 = (((arg1[8]) as u64) * (x28 as u64)); let x130: u64 = (((arg1[8]) as u64) * (x34 as u64)); let x131: u64 = (((arg1[8]) as u64) * (x33 as u64)); let x132: u64 = (((arg1[8]) as u64) * (x37 as u64)); let x133: u64 = (((arg1[8]) as u64) * (x36 as u64)); let x134: u64 = (((arg1[7]) as u64) * (x4 as u64)); let x135: u64 = (((arg1[7]) as u64) * (x3 as u64)); let x136: u64 = (((arg1[7]) as u64) * (x9 as u64)); let x137: u64 = (((arg1[7]) as u64) * (x8 as u64)); let x138: u64 = (((arg1[7]) as u64) * (x14 as u64)); let x139: u64 = (((arg1[7]) as u64) * (x13 as u64)); let x140: u64 = (((arg1[7]) as u64) * (x19 as u64)); let x141: u64 = (((arg1[7]) as u64) * (x18 as u64)); let x142: u64 = (((arg1[7]) as u64) * (x24 as u64)); let x143: u64 = (((arg1[7]) as u64) * (x23 as u64)); let x144: u64 = (((arg1[7]) as u64) * (x29 as u64)); let x145: u64 = (((arg1[7]) as u64) * (x28 as u64)); let x146: u64 = (((arg1[7]) as u64) * (x34 as u64)); let x147: u64 = (((arg1[7]) as u64) * (x33 as u64)); let x148: u64 = (((arg1[7]) as u64) * (x38 as u64)); let x149: u64 = (((arg1[7]) as u64) * ((arg1[7]) as u64)); let x150: u64 = (((arg1[6]) as u64) * (x4 as u64)); let x151: u64 = (((arg1[6]) as u64) * (x3 as u64)); let x152: u64 = (((arg1[6]) as u64) * (x9 as u64)); let x153: u64 = (((arg1[6]) as u64) * (x8 as u64)); let x154: u64 = (((arg1[6]) as u64) * (x14 as u64)); let x155: u64 = (((arg1[6]) as u64) * (x13 as u64)); let x156: u64 = (((arg1[6]) as u64) * (x19 as u64)); let x157: u64 = (((arg1[6]) as u64) * (x18 as u64)); let x158: u64 = (((arg1[6]) as u64) * (x24 as u64)); let x159: u64 = (((arg1[6]) as u64) * (x23 as u64)); let x160: u64 = (((arg1[6]) as u64) * (x29 as u64)); let x161: u64 = (((arg1[6]) as u64) * (x28 as u64)); let x162: u64 = (((arg1[6]) as u64) * (x35 as u64)); let x163: u64 = (((arg1[6]) as u64) * (x38 as u64)); let x164: u64 = (((arg1[6]) as u64) * (x39 as u64)); let x165: u64 = (((arg1[6]) as u64) * ((arg1[6]) as u64)); let x166: u64 = (((arg1[5]) as u64) * (x4 as u64)); let x167: u64 = (((arg1[5]) as u64) * (x3 as u64)); let x168: u64 = (((arg1[5]) as u64) * (x9 as u64)); let x169: u64 = (((arg1[5]) as u64) * (x8 as u64)); let x170: u64 = (((arg1[5]) as u64) * (x14 as u64)); let x171: u64 = (((arg1[5]) as u64) * (x13 as u64)); let x172: u64 = (((arg1[5]) as u64) * (x19 as u64)); let x173: u64 = (((arg1[5]) as u64) * (x18 as u64)); let x174: u64 = (((arg1[5]) as u64) * (x24 as u64)); let x175: u64 = (((arg1[5]) as u64) * (x23 as u64)); let x176: u64 = (((arg1[5]) as u64) * (x30 as u64)); let x177: u64 = (((arg1[5]) as u64) * (x35 as u64)); let x178: u64 = (((arg1[5]) as u64) * (x38 as u64)); let x179: u64 = (((arg1[5]) as u64) * (x39 as u64)); let x180: u64 = (((arg1[5]) as u64) * (x40 as u64)); let x181: u64 = (((arg1[5]) as u64) * ((arg1[5]) as u64)); let x182: u64 = (((arg1[4]) as u64) * (x4 as u64)); let x183: u64 = (((arg1[4]) as u64) * (x3 as u64)); let x184: u64 = (((arg1[4]) as u64) * (x9 as u64)); let x185: u64 = (((arg1[4]) as u64) * (x8 as u64)); let x186: u64 = (((arg1[4]) as u64) * (x14 as u64)); let x187: u64 = (((arg1[4]) as u64) * (x13 as u64)); let x188: u64 = (((arg1[4]) as u64) * (x19 as u64)); let x189: u64 = (((arg1[4]) as u64) * (x18 as u64)); let x190: u64 = (((arg1[4]) as u64) * (x25 as u64)); let x191: u64 = (((arg1[4]) as u64) * (x30 as u64)); let x192: u64 = (((arg1[4]) as u64) * (x35 as u64)); let x193: u64 = (((arg1[4]) as u64) * (x38 as u64)); let x194: u64 = (((arg1[4]) as u64) * (x39 as u64)); let x195: u64 = (((arg1[4]) as u64) * (x40 as u64)); let x196: u64 = (((arg1[4]) as u64) * (x41 as u64)); let x197: u64 = (((arg1[4]) as u64) * ((arg1[4]) as u64)); let x198: u64 = (((arg1[3]) as u64) * (x4 as u64)); let x199: u64 = (((arg1[3]) as u64) * (x3 as u64)); let x200: u64 = (((arg1[3]) as u64) * (x9 as u64)); let x201: u64 = (((arg1[3]) as u64) * (x8 as u64)); let x202: u64 = (((arg1[3]) as u64) * (x14 as u64)); let x203: u64 = (((arg1[3]) as u64) * (x13 as u64)); let x204: u64 = (((arg1[3]) as u64) * (x20 as u64)); let x205: u64 = (((arg1[3]) as u64) * (x25 as u64)); let x206: u64 = (((arg1[3]) as u64) * (x30 as u64)); let x207: u64 = (((arg1[3]) as u64) * (x35 as u64)); let x208: u64 = (((arg1[3]) as u64) * (x38 as u64)); let x209: u64 = (((arg1[3]) as u64) * (x39 as u64)); let x210: u64 = (((arg1[3]) as u64) * (x40 as u64)); let x211: u64 = (((arg1[3]) as u64) * (x41 as u64)); let x212: u64 = (((arg1[3]) as u64) * (x42 as u64)); let x213: u64 = (((arg1[3]) as u64) * ((arg1[3]) as u64)); let x214: u64 = (((arg1[2]) as u64) * (x4 as u64)); let x215: u64 = (((arg1[2]) as u64) * (x3 as u64)); let x216: u64 = (((arg1[2]) as u64) * (x9 as u64)); let x217: u64 = (((arg1[2]) as u64) * (x8 as u64)); let x218: u64 = (((arg1[2]) as u64) * (x15 as u64)); let x219: u64 = (((arg1[2]) as u64) * (x20 as u64)); let x220: u64 = (((arg1[2]) as u64) * (x25 as u64)); let x221: u64 = (((arg1[2]) as u64) * (x30 as u64)); let x222: u64 = (((arg1[2]) as u64) * (x35 as u64)); let x223: u64 = (((arg1[2]) as u64) * (x38 as u64)); let x224: u64 = (((arg1[2]) as u64) * (x39 as u64)); let x225: u64 = (((arg1[2]) as u64) * (x40 as u64)); let x226: u64 = (((arg1[2]) as u64) * (x41 as u64)); let x227: u64 = (((arg1[2]) as u64) * (x42 as u64)); let x228: u64 = (((arg1[2]) as u64) * (x43 as u64)); let x229: u64 = (((arg1[2]) as u64) * ((arg1[2]) as u64)); let x230: u64 = (((arg1[1]) as u64) * (x4 as u64)); let x231: u64 = (((arg1[1]) as u64) * (x3 as u64)); let x232: u64 = (((arg1[1]) as u64) * (x10 as u64)); let x233: u64 = (((arg1[1]) as u64) * (x15 as u64)); let x234: u64 = (((arg1[1]) as u64) * (x20 as u64)); let x235: u64 = (((arg1[1]) as u64) * (x25 as u64)); let x236: u64 = (((arg1[1]) as u64) * (x30 as u64)); let x237: u64 = (((arg1[1]) as u64) * (x35 as u64)); let x238: u64 = (((arg1[1]) as u64) * (x38 as u64)); let x239: u64 = (((arg1[1]) as u64) * (x39 as u64)); let x240: u64 = (((arg1[1]) as u64) * (x40 as u64)); let x241: u64 = (((arg1[1]) as u64) * (x41 as u64)); let x242: u64 = (((arg1[1]) as u64) * (x42 as u64)); let x243: u64 = (((arg1[1]) as u64) * (x43 as u64)); let x244: u64 = (((arg1[1]) as u64) * (x44 as u64)); let x245: u64 = (((arg1[1]) as u64) * ((arg1[1]) as u64)); let x246: u64 = (((arg1[0]) as u64) * (x5 as u64)); let x247: u64 = (((arg1[0]) as u64) * (x10 as u64)); let x248: u64 = (((arg1[0]) as u64) * (x15 as u64)); let x249: u64 = (((arg1[0]) as u64) * (x20 as u64)); let x250: u64 = (((arg1[0]) as u64) * (x25 as u64)); let x251: u64 = (((arg1[0]) as u64) * (x30 as u64)); let x252: u64 = (((arg1[0]) as u64) * (x35 as u64)); let x253: u64 = (((arg1[0]) as u64) * (x38 as u64)); let x254: u64 = (((arg1[0]) as u64) * (x39 as u64)); let x255: u64 = (((arg1[0]) as u64) * (x40 as u64)); let x256: u64 = (((arg1[0]) as u64) * (x41 as u64)); let x257: u64 = (((arg1[0]) as u64) * (x42 as u64)); let x258: u64 = (((arg1[0]) as u64) * (x43 as u64)); let x259: u64 = (((arg1[0]) as u64) * (x44 as u64)); let x260: u64 = (((arg1[0]) as u64) * (x45 as u64)); let x261: u64 = (((arg1[0]) as u64) * ((arg1[0]) as u64)); let x262: u64 = (x254 + (x240 + (x226 + (x212 + (x118 + (x106 + (x97 + x91))))))); let x263: u64 = (x262 >> 28); let x264: u32 = ((x262 & (0xfffffff as u64)) as u32); let x265: u64 = (x246 + (x232 + (x218 + (x204 + (x190 + (x176 + (x162 + (x148 + (x119 + (x107 + (x98 + x92))))))))))); let x266: u64 = (x247 + (x233 + (x219 + (x205 + (x191 + (x177 + (x163 + (x149 + (x135 + (x121 + (x109 + (x100 + (x94 + (x78 + x62)))))))))))))); let x267: u64 = (x248 + (x234 + (x220 + (x206 + (x192 + (x178 + (x164 + (x151 + (x137 + (x123 + (x111 + (x102 + (x79 + x63))))))))))))); let x268: u128 = ((x249 as u128) + ((x235 + (x221 + (x207 + (x193 + (x179 + (x167 + (x165 + (x153 + (x139 + (x125 + (x113 + (x104 + (x81 + (x80 + (x65 + x64))))))))))))))) as u128)); let x269: u128 = ((x250 as u128) + ((x236 as u128) + ((x222 + (x208 + (x194 + (x183 + (x180 + (x169 + (x155 + (x141 + (x127 + (x115 + (x84 + (x82 + (x68 + x66))))))))))))) as u128))); let x270: u128 = ((x251 as u128) + ((x237 as u128) + ((x223 as u128) + ((x209 + (x199 + (x195 + (x185 + (x181 + (x171 + (x157 + (x143 + (x129 + (x117 + (x88 + (x85 + (x83 + (x72 + (x69 + x67))))))))))))))) as u128)))); let x271: u128 = ((x252 as u128) + ((x238 as u128) + ((x224 as u128) + ((x215 as u128) + ((x210 + (x201 + (x196 + (x187 + (x173 + (x159 + (x145 + (x131 + (x95 + (x89 + (x86 + (x75 + (x73 + x70))))))))))))) as u128))))); let x272: u128 = ((x253 as u128) + ((x239 as u128) + ((x231 as u128) + ((x225 as u128) + ((x217 as u128) + ((x211 + (x203 + (x197 + (x189 + (x175 + (x161 + (x147 + (x133 + (x105 + (x96 + (x90 + (x87 + (x77 + (x76 + (x74 + x71))))))))))))))) as u128)))))); let x273: u64 = (x255 + (x241 + (x227 + (x213 + (x134 + (x120 + (x108 + (x99 + (x93 + x46))))))))); let x274: u64 = (x256 + (x242 + (x228 + (x150 + (x136 + (x122 + (x110 + (x101 + x47)))))))); let x275: u64 = (x257 + (x243 + (x229 + (x166 + (x152 + (x138 + (x124 + (x112 + (x103 + (x49 + x48)))))))))); let x276: u64 = (x258 + (x244 + (x182 + (x168 + (x154 + (x140 + (x126 + (x114 + (x52 + x50))))))))); let x277: u64 = (x259 + (x245 + (x198 + (x184 + (x170 + (x156 + (x142 + (x128 + (x116 + (x56 + (x53 + x51))))))))))); let x278: u64 = (x260 + (x214 + (x200 + (x186 + (x172 + (x158 + (x144 + (x130 + (x59 + (x57 + x54)))))))))); let x279: u64 = (x261 + (x230 + (x216 + (x202 + (x188 + (x174 + (x160 + (x146 + (x132 + (x61 + (x60 + (x58 + x55)))))))))))); let x280: u128 = ((x263 as u128) + x272); let x281: u64 = (x265 >> 28); let x282: u32 = ((x265 & (0xfffffff as u64)) as u32); let x283: u128 = (x280 + (x281 as u128)); let x284: u64 = ((x283 >> 28) as u64); let x285: u32 = ((x283 & (0xfffffff as u128)) as u32); let x286: u64 = (x279 + x281); let x287: u128 = ((x284 as u128) + x271); let x288: u64 = (x286 >> 28); let x289: u32 = ((x286 & (0xfffffff as u64)) as u32); let x290: u64 = (x288 + x278); let x291: u64 = ((x287 >> 28) as u64); let x292: u32 = ((x287 & (0xfffffff as u128)) as u32); let x293: u128 = ((x291 as u128) + x270); let x294: u64 = (x290 >> 28); let x295: u32 = ((x290 & (0xfffffff as u64)) as u32); let x296: u64 = (x294 + x277); let x297: u64 = ((x293 >> 28) as u64); let x298: u32 = ((x293 & (0xfffffff as u128)) as u32); let x299: u128 = ((x297 as u128) + x269); let x300: u64 = (x296 >> 28); let x301: u32 = ((x296 & (0xfffffff as u64)) as u32); let x302: u64 = (x300 + x276); let x303: u64 = ((x299 >> 28) as u64); let x304: u32 = ((x299 & (0xfffffff as u128)) as u32); let x305: u128 = ((x303 as u128) + x268); let x306: u64 = (x302 >> 28); let x307: u32 = ((x302 & (0xfffffff as u64)) as u32); let x308: u64 = (x306 + x275); let x309: u64 = ((x305 >> 28) as u64); let x310: u32 = ((x305 & (0xfffffff as u128)) as u32); let x311: u64 = (x309 + x267); let x312: u64 = (x308 >> 28); let x313: u32 = ((x308 & (0xfffffff as u64)) as u32); let x314: u64 = (x312 + x274); let x315: u64 = (x311 >> 28); let x316: u32 = ((x311 & (0xfffffff as u64)) as u32); let x317: u64 = (x315 + x266); let x318: u64 = (x314 >> 28); let x319: u32 = ((x314 & (0xfffffff as u64)) as u32); let x320: u64 = (x318 + x273); let x321: u64 = (x317 >> 28); let x322: u32 = ((x317 & (0xfffffff as u64)) as u32); let x323: u64 = (x321 + (x282 as u64)); let x324: u64 = (x320 >> 28); let x325: u32 = ((x320 & (0xfffffff as u64)) as u32); let x326: u64 = (x324 + (x264 as u64)); let x327: u32 = ((x323 >> 28) as u32); let x328: u32 = ((x323 & (0xfffffff as u64)) as u32); let x329: u32 = ((x326 >> 28) as u32); let x330: u32 = ((x326 & (0xfffffff as u64)) as u32); let x331: u32 = (x285 + x327); let x332: u32 = (x289 + x327); let x333: u32 = (x329 + x331); let x334: fiat_p448_u1 = ((x333 >> 28) as fiat_p448_u1); let x335: u32 = (x333 & 0xfffffff); let x336: u32 = ((x334 as u32) + x292); let x337: fiat_p448_u1 = ((x332 >> 28) as fiat_p448_u1); let x338: u32 = (x332 & 0xfffffff); let x339: u32 = ((x337 as u32) + x295); out1[0] = x338; out1[1] = x339; out1[2] = x301; out1[3] = x307; out1[4] = x313; out1[5] = x319; out1[6] = x325; out1[7] = x330; out1[8] = x335; out1[9] = x336; out1[10] = x298; out1[11] = x304; out1[12] = x310; out1[13] = x316; out1[14] = x322; out1[15] = x328; } /// The function fiat_p448_carry reduces a field element. /// /// Postconditions: /// eval out1 mod m = eval arg1 mod m /// #[inline] pub fn fiat_p448_carry(out1: &mut fiat_p448_tight_field_element, arg1: &fiat_p448_loose_field_element) { let x1: u32 = (arg1[7]); let x2: u32 = (arg1[15]); let x3: u32 = (x2 >> 28); let x4: u32 = (((x1 >> 28) + (arg1[8])) + x3); let x5: u32 = ((arg1[0]) + x3); let x6: u32 = ((x4 >> 28) + (arg1[9])); let x7: u32 = ((x5 >> 28) + (arg1[1])); let x8: u32 = ((x6 >> 28) + (arg1[10])); let x9: u32 = ((x7 >> 28) + (arg1[2])); let x10: u32 = ((x8 >> 28) + (arg1[11])); let x11: u32 = ((x9 >> 28) + (arg1[3])); let x12: u32 = ((x10 >> 28) + (arg1[12])); let x13: u32 = ((x11 >> 28) + (arg1[4])); let x14: u32 = ((x12 >> 28) + (arg1[13])); let x15: u32 = ((x13 >> 28) + (arg1[5])); let x16: u32 = ((x14 >> 28) + (arg1[14])); let x17: u32 = ((x15 >> 28) + (arg1[6])); let x18: u32 = ((x16 >> 28) + (x2 & 0xfffffff)); let x19: u32 = ((x17 >> 28) + (x1 & 0xfffffff)); let x20: fiat_p448_u1 = ((x18 >> 28) as fiat_p448_u1); let x21: u32 = ((x5 & 0xfffffff) + (x20 as u32)); let x22: u32 = ((((x19 >> 28) as fiat_p448_u1) as u32) + ((x4 & 0xfffffff) + (x20 as u32))); let x23: u32 = (x21 & 0xfffffff); let x24: u32 = ((((x21 >> 28) as fiat_p448_u1) as u32) + (x7 & 0xfffffff)); let x25: u32 = (x9 & 0xfffffff); let x26: u32 = (x11 & 0xfffffff); let x27: u32 = (x13 & 0xfffffff); let x28: u32 = (x15 & 0xfffffff); let x29: u32 = (x17 & 0xfffffff); let x30: u32 = (x19 & 0xfffffff); let x31: u32 = (x22 & 0xfffffff); let x32: u32 = ((((x22 >> 28) as fiat_p448_u1) as u32) + (x6 & 0xfffffff)); let x33: u32 = (x8 & 0xfffffff); let x34: u32 = (x10 & 0xfffffff); let x35: u32 = (x12 & 0xfffffff); let x36: u32 = (x14 & 0xfffffff); let x37: u32 = (x16 & 0xfffffff); let x38: u32 = (x18 & 0xfffffff); out1[0] = x23; out1[1] = x24; out1[2] = x25; out1[3] = x26; out1[4] = x27; out1[5] = x28; out1[6] = x29; out1[7] = x30; out1[8] = x31; out1[9] = x32; out1[10] = x33; out1[11] = x34; out1[12] = x35; out1[13] = x36; out1[14] = x37; out1[15] = x38; } /// The function fiat_p448_add adds two field elements. /// /// Postconditions: /// eval out1 mod m = (eval arg1 + eval arg2) mod m /// #[inline] pub fn fiat_p448_add(out1: &mut fiat_p448_loose_field_element, arg1: &fiat_p448_tight_field_element, arg2: &fiat_p448_tight_field_element) { let x1: u32 = ((arg1[0]) + (arg2[0])); let x2: u32 = ((arg1[1]) + (arg2[1])); let x3: u32 = ((arg1[2]) + (arg2[2])); let x4: u32 = ((arg1[3]) + (arg2[3])); let x5: u32 = ((arg1[4]) + (arg2[4])); let x6: u32 = ((arg1[5]) + (arg2[5])); let x7: u32 = ((arg1[6]) + (arg2[6])); let x8: u32 = ((arg1[7]) + (arg2[7])); let x9: u32 = ((arg1[8]) + (arg2[8])); let x10: u32 = ((arg1[9]) + (arg2[9])); let x11: u32 = ((arg1[10]) + (arg2[10])); let x12: u32 = ((arg1[11]) + (arg2[11])); let x13: u32 = ((arg1[12]) + (arg2[12])); let x14: u32 = ((arg1[13]) + (arg2[13])); let x15: u32 = ((arg1[14]) + (arg2[14])); let x16: u32 = ((arg1[15]) + (arg2[15])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; out1[11] = x12; out1[12] = x13; out1[13] = x14; out1[14] = x15; out1[15] = x16; } /// The function fiat_p448_sub subtracts two field elements. /// /// Postconditions: /// eval out1 mod m = (eval arg1 - eval arg2) mod m /// #[inline] pub fn fiat_p448_sub(out1: &mut fiat_p448_loose_field_element, arg1: &fiat_p448_tight_field_element, arg2: &fiat_p448_tight_field_element) { let x1: u32 = ((0x1ffffffe + (arg1[0])) - (arg2[0])); let x2: u32 = ((0x1ffffffe + (arg1[1])) - (arg2[1])); let x3: u32 = ((0x1ffffffe + (arg1[2])) - (arg2[2])); let x4: u32 = ((0x1ffffffe + (arg1[3])) - (arg2[3])); let x5: u32 = ((0x1ffffffe + (arg1[4])) - (arg2[4])); let x6: u32 = ((0x1ffffffe + (arg1[5])) - (arg2[5])); let x7: u32 = ((0x1ffffffe + (arg1[6])) - (arg2[6])); let x8: u32 = ((0x1ffffffe + (arg1[7])) - (arg2[7])); let x9: u32 = ((0x1ffffffc + (arg1[8])) - (arg2[8])); let x10: u32 = ((0x1ffffffe + (arg1[9])) - (arg2[9])); let x11: u32 = ((0x1ffffffe + (arg1[10])) - (arg2[10])); let x12: u32 = ((0x1ffffffe + (arg1[11])) - (arg2[11])); let x13: u32 = ((0x1ffffffe + (arg1[12])) - (arg2[12])); let x14: u32 = ((0x1ffffffe + (arg1[13])) - (arg2[13])); let x15: u32 = ((0x1ffffffe + (arg1[14])) - (arg2[14])); let x16: u32 = ((0x1ffffffe + (arg1[15])) - (arg2[15])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; out1[11] = x12; out1[12] = x13; out1[13] = x14; out1[14] = x15; out1[15] = x16; } /// The function fiat_p448_opp negates a field element. /// /// Postconditions: /// eval out1 mod m = -eval arg1 mod m /// #[inline] pub fn fiat_p448_opp(out1: &mut fiat_p448_loose_field_element, arg1: &fiat_p448_tight_field_element) { let x1: u32 = (0x1ffffffe - (arg1[0])); let x2: u32 = (0x1ffffffe - (arg1[1])); let x3: u32 = (0x1ffffffe - (arg1[2])); let x4: u32 = (0x1ffffffe - (arg1[3])); let x5: u32 = (0x1ffffffe - (arg1[4])); let x6: u32 = (0x1ffffffe - (arg1[5])); let x7: u32 = (0x1ffffffe - (arg1[6])); let x8: u32 = (0x1ffffffe - (arg1[7])); let x9: u32 = (0x1ffffffc - (arg1[8])); let x10: u32 = (0x1ffffffe - (arg1[9])); let x11: u32 = (0x1ffffffe - (arg1[10])); let x12: u32 = (0x1ffffffe - (arg1[11])); let x13: u32 = (0x1ffffffe - (arg1[12])); let x14: u32 = (0x1ffffffe - (arg1[13])); let x15: u32 = (0x1ffffffe - (arg1[14])); let x16: u32 = (0x1ffffffe - (arg1[15])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; out1[11] = x12; out1[12] = x13; out1[13] = x14; out1[14] = x15; out1[15] = x16; } /// The function fiat_p448_selectznz is a multi-limb conditional select. /// /// Postconditions: /// out1 = (if arg1 = 0 then arg2 else arg3) /// /// Input Bounds: /// arg1: [0x0 ~> 0x1] /// arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] /// arg3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] /// Output Bounds: /// out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] #[inline] pub fn fiat_p448_selectznz(out1: &mut [u32; 16], arg1: fiat_p448_u1, arg2: &[u32; 16], arg3: &[u32; 16]) { let mut x1: u32 = 0; fiat_p448_cmovznz_u32(&mut x1, arg1, (arg2[0]), (arg3[0])); let mut x2: u32 = 0; fiat_p448_cmovznz_u32(&mut x2, arg1, (arg2[1]), (arg3[1])); let mut x3: u32 = 0; fiat_p448_cmovznz_u32(&mut x3, arg1, (arg2[2]), (arg3[2])); let mut x4: u32 = 0; fiat_p448_cmovznz_u32(&mut x4, arg1, (arg2[3]), (arg3[3])); let mut x5: u32 = 0; fiat_p448_cmovznz_u32(&mut x5, arg1, (arg2[4]), (arg3[4])); let mut x6: u32 = 0; fiat_p448_cmovznz_u32(&mut x6, arg1, (arg2[5]), (arg3[5])); let mut x7: u32 = 0; fiat_p448_cmovznz_u32(&mut x7, arg1, (arg2[6]), (arg3[6])); let mut x8: u32 = 0; fiat_p448_cmovznz_u32(&mut x8, arg1, (arg2[7]), (arg3[7])); let mut x9: u32 = 0; fiat_p448_cmovznz_u32(&mut x9, arg1, (arg2[8]), (arg3[8])); let mut x10: u32 = 0; fiat_p448_cmovznz_u32(&mut x10, arg1, (arg2[9]), (arg3[9])); let mut x11: u32 = 0; fiat_p448_cmovznz_u32(&mut x11, arg1, (arg2[10]), (arg3[10])); let mut x12: u32 = 0; fiat_p448_cmovznz_u32(&mut x12, arg1, (arg2[11]), (arg3[11])); let mut x13: u32 = 0; fiat_p448_cmovznz_u32(&mut x13, arg1, (arg2[12]), (arg3[12])); let mut x14: u32 = 0; fiat_p448_cmovznz_u32(&mut x14, arg1, (arg2[13]), (arg3[13])); let mut x15: u32 = 0; fiat_p448_cmovznz_u32(&mut x15, arg1, (arg2[14]), (arg3[14])); let mut x16: u32 = 0; fiat_p448_cmovznz_u32(&mut x16, arg1, (arg2[15]), (arg3[15])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; out1[11] = x12; out1[12] = x13; out1[13] = x14; out1[14] = x15; out1[15] = x16; } /// The function fiat_p448_to_bytes serializes a field element to bytes in little-endian order. /// /// Postconditions: /// out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..55] /// /// Output Bounds: /// out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] #[inline] pub fn fiat_p448_to_bytes(out1: &mut [u8; 56], arg1: &fiat_p448_tight_field_element) { let mut x1: u32 = 0; let mut x2: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x1, &mut x2, 0x0, (arg1[0]), 0xfffffff); let mut x3: u32 = 0; let mut x4: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x3, &mut x4, x2, (arg1[1]), 0xfffffff); let mut x5: u32 = 0; let mut x6: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x5, &mut x6, x4, (arg1[2]), 0xfffffff); let mut x7: u32 = 0; let mut x8: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x7, &mut x8, x6, (arg1[3]), 0xfffffff); let mut x9: u32 = 0; let mut x10: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x9, &mut x10, x8, (arg1[4]), 0xfffffff); let mut x11: u32 = 0; let mut x12: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x11, &mut x12, x10, (arg1[5]), 0xfffffff); let mut x13: u32 = 0; let mut x14: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x13, &mut x14, x12, (arg1[6]), 0xfffffff); let mut x15: u32 = 0; let mut x16: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x15, &mut x16, x14, (arg1[7]), 0xfffffff); let mut x17: u32 = 0; let mut x18: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x17, &mut x18, x16, (arg1[8]), 0xffffffe); let mut x19: u32 = 0; let mut x20: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x19, &mut x20, x18, (arg1[9]), 0xfffffff); let mut x21: u32 = 0; let mut x22: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x21, &mut x22, x20, (arg1[10]), 0xfffffff); let mut x23: u32 = 0; let mut x24: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x23, &mut x24, x22, (arg1[11]), 0xfffffff); let mut x25: u32 = 0; let mut x26: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x25, &mut x26, x24, (arg1[12]), 0xfffffff); let mut x27: u32 = 0; let mut x28: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x27, &mut x28, x26, (arg1[13]), 0xfffffff); let mut x29: u32 = 0; let mut x30: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x29, &mut x30, x28, (arg1[14]), 0xfffffff); let mut x31: u32 = 0; let mut x32: fiat_p448_u1 = 0; fiat_p448_subborrowx_u28(&mut x31, &mut x32, x30, (arg1[15]), 0xfffffff); let mut x33: u32 = 0; fiat_p448_cmovznz_u32(&mut x33, x32, (0x0 as u32), 0xffffffff); let mut x34: u32 = 0; let mut x35: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x34, &mut x35, 0x0, x1, (x33 & 0xfffffff)); let mut x36: u32 = 0; let mut x37: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x36, &mut x37, x35, x3, (x33 & 0xfffffff)); let mut x38: u32 = 0; let mut x39: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x38, &mut x39, x37, x5, (x33 & 0xfffffff)); let mut x40: u32 = 0; let mut x41: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x40, &mut x41, x39, x7, (x33 & 0xfffffff)); let mut x42: u32 = 0; let mut x43: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x42, &mut x43, x41, x9, (x33 & 0xfffffff)); let mut x44: u32 = 0; let mut x45: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x44, &mut x45, x43, x11, (x33 & 0xfffffff)); let mut x46: u32 = 0; let mut x47: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x46, &mut x47, x45, x13, (x33 & 0xfffffff)); let mut x48: u32 = 0; let mut x49: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x48, &mut x49, x47, x15, (x33 & 0xfffffff)); let mut x50: u32 = 0; let mut x51: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x50, &mut x51, x49, x17, (x33 & 0xffffffe)); let mut x52: u32 = 0; let mut x53: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x52, &mut x53, x51, x19, (x33 & 0xfffffff)); let mut x54: u32 = 0; let mut x55: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x54, &mut x55, x53, x21, (x33 & 0xfffffff)); let mut x56: u32 = 0; let mut x57: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x56, &mut x57, x55, x23, (x33 & 0xfffffff)); let mut x58: u32 = 0; let mut x59: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x58, &mut x59, x57, x25, (x33 & 0xfffffff)); let mut x60: u32 = 0; let mut x61: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x60, &mut x61, x59, x27, (x33 & 0xfffffff)); let mut x62: u32 = 0; let mut x63: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x62, &mut x63, x61, x29, (x33 & 0xfffffff)); let mut x64: u32 = 0; let mut x65: fiat_p448_u1 = 0; fiat_p448_addcarryx_u28(&mut x64, &mut x65, x63, x31, (x33 & 0xfffffff)); let x66: u32 = (x64 << 4); let x67: u32 = (x60 << 4); let x68: u32 = (x56 << 4); let x69: u32 = (x52 << 4); let x70: u32 = (x48 << 4); let x71: u32 = (x44 << 4); let x72: u32 = (x40 << 4); let x73: u32 = (x36 << 4); let x74: u8 = ((x34 & (0xff as u32)) as u8); let x75: u32 = (x34 >> 8); let x76: u8 = ((x75 & (0xff as u32)) as u8); let x77: u32 = (x75 >> 8); let x78: u8 = ((x77 & (0xff as u32)) as u8); let x79: u8 = ((x77 >> 8) as u8); let x80: u32 = (x73 + (x79 as u32)); let x81: u8 = ((x80 & (0xff as u32)) as u8); let x82: u32 = (x80 >> 8); let x83: u8 = ((x82 & (0xff as u32)) as u8); let x84: u32 = (x82 >> 8); let x85: u8 = ((x84 & (0xff as u32)) as u8); let x86: u8 = ((x84 >> 8) as u8); let x87: u8 = ((x38 & (0xff as u32)) as u8); let x88: u32 = (x38 >> 8); let x89: u8 = ((x88 & (0xff as u32)) as u8); let x90: u32 = (x88 >> 8); let x91: u8 = ((x90 & (0xff as u32)) as u8); let x92: u8 = ((x90 >> 8) as u8); let x93: u32 = (x72 + (x92 as u32)); let x94: u8 = ((x93 & (0xff as u32)) as u8); let x95: u32 = (x93 >> 8); let x96: u8 = ((x95 & (0xff as u32)) as u8); let x97: u32 = (x95 >> 8); let x98: u8 = ((x97 & (0xff as u32)) as u8); let x99: u8 = ((x97 >> 8) as u8); let x100: u8 = ((x42 & (0xff as u32)) as u8); let x101: u32 = (x42 >> 8); let x102: u8 = ((x101 & (0xff as u32)) as u8); let x103: u32 = (x101 >> 8); let x104: u8 = ((x103 & (0xff as u32)) as u8); let x105: u8 = ((x103 >> 8) as u8); let x106: u32 = (x71 + (x105 as u32)); let x107: u8 = ((x106 & (0xff as u32)) as u8); let x108: u32 = (x106 >> 8); let x109: u8 = ((x108 & (0xff as u32)) as u8); let x110: u32 = (x108 >> 8); let x111: u8 = ((x110 & (0xff as u32)) as u8); let x112: u8 = ((x110 >> 8) as u8); let x113: u8 = ((x46 & (0xff as u32)) as u8); let x114: u32 = (x46 >> 8); let x115: u8 = ((x114 & (0xff as u32)) as u8); let x116: u32 = (x114 >> 8); let x117: u8 = ((x116 & (0xff as u32)) as u8); let x118: u8 = ((x116 >> 8) as u8); let x119: u32 = (x70 + (x118 as u32)); let x120: u8 = ((x119 & (0xff as u32)) as u8); let x121: u32 = (x119 >> 8); let x122: u8 = ((x121 & (0xff as u32)) as u8); let x123: u32 = (x121 >> 8); let x124: u8 = ((x123 & (0xff as u32)) as u8); let x125: u8 = ((x123 >> 8) as u8); let x126: u8 = ((x50 & (0xff as u32)) as u8); let x127: u32 = (x50 >> 8); let x128: u8 = ((x127 & (0xff as u32)) as u8); let x129: u32 = (x127 >> 8); let x130: u8 = ((x129 & (0xff as u32)) as u8); let x131: u8 = ((x129 >> 8) as u8); let x132: u32 = (x69 + (x131 as u32)); let x133: u8 = ((x132 & (0xff as u32)) as u8); let x134: u32 = (x132 >> 8); let x135: u8 = ((x134 & (0xff as u32)) as u8); let x136: u32 = (x134 >> 8); let x137: u8 = ((x136 & (0xff as u32)) as u8); let x138: u8 = ((x136 >> 8) as u8); let x139: u8 = ((x54 & (0xff as u32)) as u8); let x140: u32 = (x54 >> 8); let x141: u8 = ((x140 & (0xff as u32)) as u8); let x142: u32 = (x140 >> 8); let x143: u8 = ((x142 & (0xff as u32)) as u8); let x144: u8 = ((x142 >> 8) as u8); let x145: u32 = (x68 + (x144 as u32)); let x146: u8 = ((x145 & (0xff as u32)) as u8); let x147: u32 = (x145 >> 8); let x148: u8 = ((x147 & (0xff as u32)) as u8); let x149: u32 = (x147 >> 8); let x150: u8 = ((x149 & (0xff as u32)) as u8); let x151: u8 = ((x149 >> 8) as u8); let x152: u8 = ((x58 & (0xff as u32)) as u8); let x153: u32 = (x58 >> 8); let x154: u8 = ((x153 & (0xff as u32)) as u8); let x155: u32 = (x153 >> 8); let x156: u8 = ((x155 & (0xff as u32)) as u8); let x157: u8 = ((x155 >> 8) as u8); let x158: u32 = (x67 + (x157 as u32)); let x159: u8 = ((x158 & (0xff as u32)) as u8); let x160: u32 = (x158 >> 8); let x161: u8 = ((x160 & (0xff as u32)) as u8); let x162: u32 = (x160 >> 8); let x163: u8 = ((x162 & (0xff as u32)) as u8); let x164: u8 = ((x162 >> 8) as u8); let x165: u8 = ((x62 & (0xff as u32)) as u8); let x166: u32 = (x62 >> 8); let x167: u8 = ((x166 & (0xff as u32)) as u8); let x168: u32 = (x166 >> 8); let x169: u8 = ((x168 & (0xff as u32)) as u8); let x170: u8 = ((x168 >> 8) as u8); let x171: u32 = (x66 + (x170 as u32)); let x172: u8 = ((x171 & (0xff as u32)) as u8); let x173: u32 = (x171 >> 8); let x174: u8 = ((x173 & (0xff as u32)) as u8); let x175: u32 = (x173 >> 8); let x176: u8 = ((x175 & (0xff as u32)) as u8); let x177: u8 = ((x175 >> 8) as u8); out1[0] = x74; out1[1] = x76; out1[2] = x78; out1[3] = x81; out1[4] = x83; out1[5] = x85; out1[6] = x86; out1[7] = x87; out1[8] = x89; out1[9] = x91; out1[10] = x94; out1[11] = x96; out1[12] = x98; out1[13] = x99; out1[14] = x100; out1[15] = x102; out1[16] = x104; out1[17] = x107; out1[18] = x109; out1[19] = x111; out1[20] = x112; out1[21] = x113; out1[22] = x115; out1[23] = x117; out1[24] = x120; out1[25] = x122; out1[26] = x124; out1[27] = x125; out1[28] = x126; out1[29] = x128; out1[30] = x130; out1[31] = x133; out1[32] = x135; out1[33] = x137; out1[34] = x138; out1[35] = x139; out1[36] = x141; out1[37] = x143; out1[38] = x146; out1[39] = x148; out1[40] = x150; out1[41] = x151; out1[42] = x152; out1[43] = x154; out1[44] = x156; out1[45] = x159; out1[46] = x161; out1[47] = x163; out1[48] = x164; out1[49] = x165; out1[50] = x167; out1[51] = x169; out1[52] = x172; out1[53] = x174; out1[54] = x176; out1[55] = x177; } /// The function fiat_p448_from_bytes deserializes a field element from bytes in little-endian order. /// /// Postconditions: /// eval out1 mod m = bytes_eval arg1 mod m /// /// Input Bounds: /// arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] #[inline] pub fn fiat_p448_from_bytes(out1: &mut fiat_p448_tight_field_element, arg1: &[u8; 56]) { let x1: u32 = (((arg1[55]) as u32) << 20); let x2: u32 = (((arg1[54]) as u32) << 12); let x3: u32 = (((arg1[53]) as u32) << 4); let x4: u32 = (((arg1[52]) as u32) << 24); let x5: u32 = (((arg1[51]) as u32) << 16); let x6: u32 = (((arg1[50]) as u32) << 8); let x7: u8 = (arg1[49]); let x8: u32 = (((arg1[48]) as u32) << 20); let x9: u32 = (((arg1[47]) as u32) << 12); let x10: u32 = (((arg1[46]) as u32) << 4); let x11: u32 = (((arg1[45]) as u32) << 24); let x12: u32 = (((arg1[44]) as u32) << 16); let x13: u32 = (((arg1[43]) as u32) << 8); let x14: u8 = (arg1[42]); let x15: u32 = (((arg1[41]) as u32) << 20); let x16: u32 = (((arg1[40]) as u32) << 12); let x17: u32 = (((arg1[39]) as u32) << 4); let x18: u32 = (((arg1[38]) as u32) << 24); let x19: u32 = (((arg1[37]) as u32) << 16); let x20: u32 = (((arg1[36]) as u32) << 8); let x21: u8 = (arg1[35]); let x22: u32 = (((arg1[34]) as u32) << 20); let x23: u32 = (((arg1[33]) as u32) << 12); let x24: u32 = (((arg1[32]) as u32) << 4); let x25: u32 = (((arg1[31]) as u32) << 24); let x26: u32 = (((arg1[30]) as u32) << 16); let x27: u32 = (((arg1[29]) as u32) << 8); let x28: u8 = (arg1[28]); let x29: u32 = (((arg1[27]) as u32) << 20); let x30: u32 = (((arg1[26]) as u32) << 12); let x31: u32 = (((arg1[25]) as u32) << 4); let x32: u32 = (((arg1[24]) as u32) << 24); let x33: u32 = (((arg1[23]) as u32) << 16); let x34: u32 = (((arg1[22]) as u32) << 8); let x35: u8 = (arg1[21]); let x36: u32 = (((arg1[20]) as u32) << 20); let x37: u32 = (((arg1[19]) as u32) << 12); let x38: u32 = (((arg1[18]) as u32) << 4); let x39: u32 = (((arg1[17]) as u32) << 24); let x40: u32 = (((arg1[16]) as u32) << 16); let x41: u32 = (((arg1[15]) as u32) << 8); let x42: u8 = (arg1[14]); let x43: u32 = (((arg1[13]) as u32) << 20); let x44: u32 = (((arg1[12]) as u32) << 12); let x45: u32 = (((arg1[11]) as u32) << 4); let x46: u32 = (((arg1[10]) as u32) << 24); let x47: u32 = (((arg1[9]) as u32) << 16); let x48: u32 = (((arg1[8]) as u32) << 8); let x49: u8 = (arg1[7]); let x50: u32 = (((arg1[6]) as u32) << 20); let x51: u32 = (((arg1[5]) as u32) << 12); let x52: u32 = (((arg1[4]) as u32) << 4); let x53: u32 = (((arg1[3]) as u32) << 24); let x54: u32 = (((arg1[2]) as u32) << 16); let x55: u32 = (((arg1[1]) as u32) << 8); let x56: u8 = (arg1[0]); let x57: u32 = (x55 + (x56 as u32)); let x58: u32 = (x54 + x57); let x59: u32 = (x53 + x58); let x60: u32 = (x59 & 0xfffffff); let x61: u8 = ((x59 >> 28) as u8); let x62: u32 = (x52 + (x61 as u32)); let x63: u32 = (x51 + x62); let x64: u32 = (x50 + x63); let x65: u32 = (x48 + (x49 as u32)); let x66: u32 = (x47 + x65); let x67: u32 = (x46 + x66); let x68: u32 = (x67 & 0xfffffff); let x69: u8 = ((x67 >> 28) as u8); let x70: u32 = (x45 + (x69 as u32)); let x71: u32 = (x44 + x70); let x72: u32 = (x43 + x71); let x73: u32 = (x41 + (x42 as u32)); let x74: u32 = (x40 + x73); let x75: u32 = (x39 + x74); let x76: u32 = (x75 & 0xfffffff); let x77: u8 = ((x75 >> 28) as u8); let x78: u32 = (x38 + (x77 as u32)); let x79: u32 = (x37 + x78); let x80: u32 = (x36 + x79); let x81: u32 = (x34 + (x35 as u32)); let x82: u32 = (x33 + x81); let x83: u32 = (x32 + x82); let x84: u32 = (x83 & 0xfffffff); let x85: u8 = ((x83 >> 28) as u8); let x86: u32 = (x31 + (x85 as u32)); let x87: u32 = (x30 + x86); let x88: u32 = (x29 + x87); let x89: u32 = (x27 + (x28 as u32)); let x90: u32 = (x26 + x89); let x91: u32 = (x25 + x90); let x92: u32 = (x91 & 0xfffffff); let x93: u8 = ((x91 >> 28) as u8); let x94: u32 = (x24 + (x93 as u32)); let x95: u32 = (x23 + x94); let x96: u32 = (x22 + x95); let x97: u32 = (x20 + (x21 as u32)); let x98: u32 = (x19 + x97); let x99: u32 = (x18 + x98); let x100: u32 = (x99 & 0xfffffff); let x101: u8 = ((x99 >> 28) as u8); let x102: u32 = (x17 + (x101 as u32)); let x103: u32 = (x16 + x102); let x104: u32 = (x15 + x103); let x105: u32 = (x13 + (x14 as u32)); let x106: u32 = (x12 + x105); let x107: u32 = (x11 + x106); let x108: u32 = (x107 & 0xfffffff); let x109: u8 = ((x107 >> 28) as u8); let x110: u32 = (x10 + (x109 as u32)); let x111: u32 = (x9 + x110); let x112: u32 = (x8 + x111); let x113: u32 = (x6 + (x7 as u32)); let x114: u32 = (x5 + x113); let x115: u32 = (x4 + x114); let x116: u32 = (x115 & 0xfffffff); let x117: u8 = ((x115 >> 28) as u8); let x118: u32 = (x3 + (x117 as u32)); let x119: u32 = (x2 + x118); let x120: u32 = (x1 + x119); out1[0] = x60; out1[1] = x64; out1[2] = x68; out1[3] = x72; out1[4] = x76; out1[5] = x80; out1[6] = x84; out1[7] = x88; out1[8] = x92; out1[9] = x96; out1[10] = x100; out1[11] = x104; out1[12] = x108; out1[13] = x112; out1[14] = x116; out1[15] = x120; } /// The function fiat_p448_relax is the identity function converting from tight field elements to loose field elements. /// /// Postconditions: /// out1 = arg1 /// #[inline] pub fn fiat_p448_relax(out1: &mut fiat_p448_loose_field_element, arg1: &fiat_p448_tight_field_element) { let x1: u32 = (arg1[0]); let x2: u32 = (arg1[1]); let x3: u32 = (arg1[2]); let x4: u32 = (arg1[3]); let x5: u32 = (arg1[4]); let x6: u32 = (arg1[5]); let x7: u32 = (arg1[6]); let x8: u32 = (arg1[7]); let x9: u32 = (arg1[8]); let x10: u32 = (arg1[9]); let x11: u32 = (arg1[10]); let x12: u32 = (arg1[11]); let x13: u32 = (arg1[12]); let x14: u32 = (arg1[13]); let x15: u32 = (arg1[14]); let x16: u32 = (arg1[15]); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; out1[11] = x12; out1[12] = x13; out1[13] = x14; out1[14] = x15; out1[15] = x16; }