ditto
Strips zero most significant coefficients. Strips most significant zero coefficients. Sets sign to zero if no coefficients were left.
Performs bool overflow = big +(-)= big operatrion.
Performs bool overflow = big +(-)= scalar operatrion. Precondition: non-empty coefficients
Performs W overflow = (big += overflow) *= scalar operatrion. Precondition: non-empty coefficients
Sign bit
Self-assigned to unsigned integer view BigUIntView.
1 import std.traits; 2 alias AliasSeq(T...) = T; 3 4 foreach (T; AliasSeq!(ubyte, ushort, uint, ulong)) 5 foreach (endian; AliasSeq!(WordEndian.little, WordEndian.big)) 6 { 7 static if (endian == WordEndian.little) 8 { 9 T[3] lhsData = [1, T.max-1, 0]; 10 T[3] rhsData = [T.max, T.max, 0]; 11 } 12 else 13 { 14 T[3] lhsData = [0, T.max-1, 1]; 15 T[3] rhsData = [0, T.max, T.max]; 16 } 17 18 auto lhs = BigIntView!(T, endian)(lhsData).normalized; 19 20 /// bool overflow = bigUInt op= scalar 21 assert(lhs.leastSignificantFirst == [1, T.max-1]); 22 assert(lhs.mostSignificantFirst == [T.max-1, 1]); 23 24 static if (T.sizeof >= 4) 25 { 26 27 assert((lhs += T.max) == false); 28 assert(lhs.leastSignificantFirst == [0, T.max]); 29 assert((lhs += T.max) == false); 30 assert((lhs += T.max) == true); // overflow bit 31 assert(lhs.leastSignificantFirst == [T.max-1, 0]); 32 assert((lhs -= T(1)) == false); 33 assert(lhs.leastSignificantFirst == [T.max-2, 0]); 34 assert((lhs -= T.max) == false); 35 assert(lhs.leastSignificantFirst == [2, 0]); 36 assert(lhs.sign); 37 assert((lhs -= Signed!T(-4)) == false); 38 assert(lhs.leastSignificantFirst == [2, 0]); 39 assert(lhs.sign == false); 40 assert((lhs += Signed!T.max) == false); 41 assert(lhs.leastSignificantFirst == [Signed!T.max + 2, 0]); 42 43 /// bool overflow = bigUInt op= bigUInt/bigInt 44 lhs = BigIntView!(T, endian)(lhsData); 45 auto rhs = BigUIntView!(T, endian)(rhsData).normalized; 46 assert(lhs.leastSignificantFirst == [Signed!T.max + 2, 0, 0]); 47 assert(rhs.leastSignificantFirst == [T.max, T.max]); 48 assert((lhs += rhs) == false); 49 assert(lhs.leastSignificantFirst == [Signed!T.max + 1, 0, 1]); 50 assert((lhs -= rhs) == false); 51 assert(lhs.leastSignificantFirst == [Signed!T.max + 2, 0, 0]); 52 assert((lhs += -rhs) == false); 53 assert(lhs.sign); 54 assert(lhs.leastSignificantFirst == [T.max - (Signed!T.max + 2), T.max, 0]); 55 assert(lhs.sign); 56 assert((lhs -= -rhs) == false); 57 assert(lhs.leastSignificantFirst == [Signed!T.max + 2, 0, 0]); 58 assert(lhs.sign == false); 59 } 60 }
import mir.bignum.fixed: UInt; import mir.bignum.low_level_view: BigUIntView; auto bigView = BigUIntView!size_t.fromHexString("55a325ad18b2a77120d870d987d5237473790532acab45da44bc07c92c92babf0b5e2e2c7771cd472ae5d7acdb159a56fbf74f851a058ae341f69d1eb750d7e3"); auto fixed = UInt!256.fromHexString("55e5669576d31726f4a9b58a90159de5923adc6c762ebd3c4ba518d495229072"); auto overflow = bigView *= fixed; assert(overflow == UInt!256.fromHexString("1cbbe8c42dc21f936e4ce5b2f52ac404439857f174084012fcd1b71fdec2a398")); assert(bigView == BigUIntView!size_t.fromHexString("c73fd2b26f2514c103c324943b6c90a05d2732118d5f0099c36a69a8051bb0573adc825b5c9295896c70280faa4c4d369df8e92f82bfffafe078b52ae695d316"));
import mir.bignum.fixed: UInt; import mir.bignum.low_level_view: BigUIntView; auto bigView2 = BigUIntView!size_t.fromHexString("55a325ad18b2a77120d870d987d5237473790532acab45da44bc07c92c92babf0b5e2e2c7771cd472ae5d7acdb159a56fbf74f851a058ae341f69d1eb750d7e3"); auto bigView = BigUIntView!size_t.fromHexString!(char, true)("55a3_25ad_18b2_a771_20d8_70d9_87d5_2374_7379_0532_acab_45da_44bc_07c9_2c92_babf_0b5e_2e2c_7771_cd47_2ae5_d7ac_db15_9a56_fbf7_4f85_1a05_8ae3_41f6_9d1e_b750_d7e3"); auto fixed = UInt!256.fromHexString!(true)("55e5_6695_76d3_1726_f4a9_b58a_9015_9de5_923a_dc6c_762e_bd3c_4ba5_18d4_9522_9072"); auto overflow = bigView *= fixed; assert(overflow == UInt!256.fromHexString("1cbbe8c42dc21f936e4ce5b2f52ac404439857f174084012fcd1b71fdec2a398")); assert(bigView == BigUIntView!size_t.fromHexString("c73fd2b26f2514c103c324943b6c90a05d2732118d5f0099c36a69a8051bb0573adc825b5c9295896c70280faa4c4d369df8e92f82bfffafe078b52ae695d316"));
Arbitrary length signed integer view.