module big fn test_add_in_place() { mut a := [u32(1), 2, 3] mut b := [u32(5), 6, 7] add_in_place(mut a, b) assert a == [u32(6), 8, 10] a = [u32(11), 10, 11, 12] b = [u32(1), 2] add_in_place(mut a, b) assert a == [u32(12), 12, 11, 12] a = []u32{cap: 4} a << u32(1) a << u32(2) b = [u32(3), 4, 5, 6] add_in_place(mut a, b) assert a == [u32(4), 6, 5, 6] a = [u32(0x3ce9124b), 0x1438] b = [u32(0xdb166062)] add_in_place(mut a, b) assert a == [u32(0x17ff72ad), 0x1439] } fn test_left_shift_digits_in_place() { mut a := [u32(5), 6, 7, 8] left_shift_digits_in_place(mut a, 2) assert a == [u32(0), 0, 5, 6, 7, 8] } fn test_multiply_karatsuba_01() { mut a := [u32(3)] mut b := []u32{} mut c := []u32{len: a.len + b.len, init: 0} karatsuba_multiply_digit_array(a, b, mut c) assert c == []u32{} a = []u32{} b = [u32(4)] c = []u32{len: a.len + b.len, init: 0} karatsuba_multiply_digit_array(a, b, mut c) assert c == []u32{} a = [u32(3)] b = [u32(1)] c = []u32{len: a.len + b.len, init: 0} karatsuba_multiply_digit_array(a, b, mut c) assert c == a a = [u32(1)] b = [u32(5)] c = []u32{len: a.len + b.len, init: 0} karatsuba_multiply_digit_array(a, b, mut c) assert c == b a = [u32(1234)] b = [u32(567)] c = []u32{len: a.len + b.len + 1, init: 0} karatsuba_multiply_digit_array(a, b, mut c) assert c == [u32(699_678)] a = [u32(0x17ff72ad), 0x1439] b = [u32(0x30df2ea6)] c = []u32{len: a.len + b.len + 1, init: 0} karatsuba_multiply_digit_array(a, b, mut c) assert c == [u32(0xcaf2722e), 0x55eb2c5a, 0x3dc] a_operand := integer_from_string('95484736384949495947362') or { panic(err) } b_operand := integer_from_string('39474638493') or { panic(err) } c = []u32{len: a_operand.digits.len + b_operand.digits.len, init: 0} karatsuba_multiply_digit_array(a_operand.digits, b_operand.digits, mut c) expected := integer_from_string('3769225450395285038584683507005466') or { panic(err) } assert c == expected.digits } fn test_multiply_karatsuba_02() { a := integer_from_string('53575430359313366047421252453000090528070240585276680372187519418517552556246806124659918940784792906379733645877657341259357264284615702179922887873492874019672838874121154927105373025311855709389770910765') or { panic(err) } b := integer_from_string('977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688531898668229388286706296786321423078510899614439367') or { panic(err) } mut c := []u32{len: a.digits.len + b.digits.len + 1, init: 0} karatsuba_multiply_digit_array(a.digits, b.digits, mut c) expected := integer_from_string('52348074924977237255285644820010078601114587486470740900886892189662650320988400136613780986308710610258879824881256666730655821800564143426560480113864123642197317383052431412305975584645367703594190956925565749714310612399025459615546540332117815550470167143256687163102859337019449165214274088466835988832405507818643018779158891710706073875995722420460085755') or { panic(err) } } fn test_newton_divide_03() { a := [u32(0), 4] b := [u32(0), 1] mut q := []u32{cap: a.len - b.len + 1} mut r := []u32{cap: a.len} newton_divide_array_by_array(a, b, mut q, mut r) assert q == [u32(4)] assert r == []u32{len: 0} } fn test_newton_divide_04() { a := [u32(2), 4] b := [u32(0), 1] mut q := []u32{cap: a.len - b.len + 1} mut r := []u32{cap: a.len} newton_divide_array_by_array(a, b, mut q, mut r) assert q == [u32(4)] assert r == [u32(2)] } fn test_newton_divide_05() { a := [u32(2), 4, 5] b := [u32(0), 1] mut q := []u32{cap: a.len - b.len + 1} mut r := []u32{cap: a.len} newton_divide_array_by_array(a, b, mut q, mut r) assert q == [u32(4), 5] assert r == [u32(2)] } fn test_newton_divide_06() { a := [u32(2), 4, 5, 3] b := [u32(0), 0x8000] mut q := []u32{cap: a.len - b.len + 1} mut r := []u32{cap: a.len} newton_divide_array_by_array(a, b, mut q, mut r) assert q == [u32(0xa0000), 0x60000] assert r == [u32(2), 4] } fn test_newton_divide_07() { a := integer_from_string('52348074924977237255285644820010078601114587486470740900886892189662650320988400136613780986308710610258879824881256666730655821800564143426560480113864123642197317383052431412305975584645367703594190956925565749714310612399025459615546540332117815550470167143256687163102859337019449165214274088466835988832405507818643018779158891710706073875995722420460085757') or { panic(err) } b := integer_from_string('977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688531898668229388286706296786321423078510899614439367') or { panic(err) } mut q := []u32{cap: a.digits.len - b.digits.len + 1} mut r := []u32{cap: a.digits.len} newton_divide_array_by_array(a.digits, b.digits, mut q, mut r) quotient := Integer{ signum: 1 digits: q } assert quotient.str() == '53575430359313366047421252453000090528070240585276680372187519418517552556246806124659918940784792906379733645877657341259357264284615702179922887873492874019672838874121154927105373025311855709389770910765' assert r == [u32(2)] }