2020-10-07 10:06:52 +02:00
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module strconv
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2021-06-22 09:33:48 +02:00
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import math.bits
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2021-09-03 11:16:07 +02:00
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// general utilities
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2020-02-25 11:12:37 +01:00
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2021-06-22 09:33:48 +02:00
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// General Utilities
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[if debug_strconv ?]
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2020-02-25 11:12:37 +01:00
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fn assert1(t bool, msg string) {
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if !t {
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panic(msg)
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}
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}
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[inline]
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fn bool_to_int(b bool) int {
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if b {
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return 1
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}
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return 0
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}
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[inline]
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fn bool_to_u32(b bool) u32 {
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if b {
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return u32(1)
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}
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return u32(0)
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}
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[inline]
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fn bool_to_u64(b bool) u64 {
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if b {
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return u64(1)
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}
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return u64(0)
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}
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fn get_string_special(neg bool, expZero bool, mantZero bool) string {
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if !mantZero {
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2021-06-18 16:59:56 +02:00
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return 'nan'
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2020-02-25 11:12:37 +01:00
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}
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if !expZero {
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if neg {
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2021-06-18 16:59:56 +02:00
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return '-inf'
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2020-02-25 11:12:37 +01:00
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} else {
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2021-06-18 16:59:56 +02:00
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return '+inf'
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2020-02-25 11:12:37 +01:00
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}
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}
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if neg {
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2021-06-18 16:59:56 +02:00
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return '-0e+00'
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2020-02-25 11:12:37 +01:00
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}
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2021-06-18 16:59:56 +02:00
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return '0e+00'
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2020-02-25 11:12:37 +01:00
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}
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2020-06-07 23:04:23 +02:00
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/*
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2021-06-18 16:59:56 +02:00
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32 bit functions
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2020-06-07 23:04:23 +02:00
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*/
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2020-02-25 11:12:37 +01:00
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fn mul_shift_32(m u32, mul u64, ishift int) u32 {
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2020-04-02 14:26:35 +02:00
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// QTODO
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2021-06-18 16:59:56 +02:00
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// assert ishift > 32
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2020-02-25 11:12:37 +01:00
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hi, lo := bits.mul_64(u64(m), mul)
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2021-06-18 16:59:56 +02:00
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shifted_sum := (lo >> u64(ishift)) + (hi << u64(64 - ishift))
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assert1(shifted_sum <= 2147483647, 'shiftedSum <= math.max_u32')
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2020-02-25 11:12:37 +01:00
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return u32(shifted_sum)
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}
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fn mul_pow5_invdiv_pow2(m u32, q u32, j int) u32 {
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return mul_shift_32(m, pow5_inv_split_32[q], j)
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}
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fn mul_pow5_div_pow2(m u32, i u32, j int) u32 {
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return mul_shift_32(m, pow5_split_32[i], j)
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}
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fn pow5_factor_32(i_v u32) u32 {
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mut v := i_v
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2021-06-18 16:59:56 +02:00
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for n := u32(0); true; n++ {
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q := v / 5
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r := v % 5
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2020-02-25 11:12:37 +01:00
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if r != 0 {
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return n
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}
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v = q
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}
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return v
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}
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// multiple_of_power_of_five_32 reports whether v is divisible by 5^p.
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fn multiple_of_power_of_five_32(v u32, p u32) bool {
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return pow5_factor_32(v) >= p
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}
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// multiple_of_power_of_two_32 reports whether v is divisible by 2^p.
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fn multiple_of_power_of_two_32(v u32, p u32) bool {
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2020-03-01 13:26:09 +01:00
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return u32(bits.trailing_zeros_32(v)) >= p
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2020-02-25 11:12:37 +01:00
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}
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// log10_pow2 returns floor(log_10(2^e)).
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fn log10_pow2(e int) u32 {
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// The first value this approximation fails for is 2^1651
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// which is just greater than 10^297.
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2021-06-18 16:59:56 +02:00
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assert1(e >= 0, 'e >= 0')
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assert1(e <= 1650, 'e <= 1650')
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2020-02-25 11:12:37 +01:00
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return (u32(e) * 78913) >> 18
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}
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// log10_pow5 returns floor(log_10(5^e)).
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fn log10_pow5(e int) u32 {
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// The first value this approximation fails for is 5^2621
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// which is just greater than 10^1832.
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2021-06-18 16:59:56 +02:00
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assert1(e >= 0, 'e >= 0')
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assert1(e <= 2620, 'e <= 2620')
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2020-02-25 11:12:37 +01:00
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return (u32(e) * 732923) >> 20
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}
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// pow5_bits returns ceil(log_2(5^e)), or else 1 if e==0.
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fn pow5_bits(e int) int {
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// This approximation works up to the point that the multiplication
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// overflows at e = 3529. If the multiplication were done in 64 bits,
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// it would fail at 5^4004 which is just greater than 2^9297.
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2021-06-18 16:59:56 +02:00
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assert1(e >= 0, 'e >= 0')
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assert1(e <= 3528, 'e <= 3528')
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return int(((u32(e) * 1217359) >> 19) + 1)
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2020-02-25 11:12:37 +01:00
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}
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2020-06-07 23:04:23 +02:00
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/*
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2021-06-18 16:59:56 +02:00
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64 bit functions
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2020-06-07 23:04:23 +02:00
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*/
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2021-06-18 16:59:56 +02:00
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2020-02-25 11:12:37 +01:00
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fn shift_right_128(v Uint128, shift int) u64 {
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// The shift value is always modulo 64.
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// In the current implementation of the 64-bit version
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// of Ryu, the shift value is always < 64.
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// (It is in the range [2, 59].)
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// Check this here in case a future change requires larger shift
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// values. In this case this function needs to be adjusted.
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2021-06-18 16:59:56 +02:00
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assert1(shift < 64, 'shift < 64')
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2020-02-25 11:12:37 +01:00
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return (v.hi << u64(64 - shift)) | (v.lo >> u32(shift))
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}
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fn mul_shift_64(m u64, mul Uint128, shift int) u64 {
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hihi, hilo := bits.mul_64(m, mul.hi)
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2021-06-18 16:59:56 +02:00
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lohi, _ := bits.mul_64(m, mul.lo)
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mut sum := Uint128{
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lo: lohi + hilo
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hi: hihi
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}
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2020-02-25 11:12:37 +01:00
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if sum.lo < lohi {
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sum.hi++ // overflow
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}
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2021-06-18 16:59:56 +02:00
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return shift_right_128(sum, shift - 64)
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2020-02-25 11:12:37 +01:00
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}
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fn pow5_factor_64(v_i u64) u32 {
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mut v := v_i
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2021-06-18 16:59:56 +02:00
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for n := u32(0); true; n++ {
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q := v / 5
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r := v % 5
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2020-02-25 11:12:37 +01:00
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if r != 0 {
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return n
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}
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v = q
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}
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return u32(0)
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}
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fn multiple_of_power_of_five_64(v u64, p u32) bool {
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return pow5_factor_64(v) >= p
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}
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fn multiple_of_power_of_two_64(v u64, p u32) bool {
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return u32(bits.trailing_zeros_64(v)) >= p
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}
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2021-11-14 20:06:58 +01:00
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// dec_digits return the number of decimal digit of an u64
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pub fn dec_digits(n u64) int {
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if n <= 9_999_999_999 { // 1-10
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if n <= 99_999 { // 5
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if n <= 99 { // 2
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if n <= 9 { // 1
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return 1
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} else {
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return 2
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}
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} else {
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if n <= 999 { // 3
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return 3
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} else {
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if n <= 9999 { // 4
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return 4
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} else {
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return 5
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}
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}
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}
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} else {
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if n <= 9_999_999 { // 7
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if n <= 999_999 { // 6
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return 6
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} else {
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return 7
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}
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} else {
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if n <= 99_999_999 { // 8
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return 8
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} else {
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if n <= 999_999_999 { // 9
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return 9
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}
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return 10
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}
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}
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}
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} else {
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if n <= 999_999_999_999_999 { // 5
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if n <= 999_999_999_999 { // 2
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if n <= 99_999_999_999 { // 1
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return 11
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} else {
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return 12
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}
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} else {
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if n <= 9_999_999_999_999 { // 3
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return 13
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} else {
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if n <= 99_999_999_999_999 { // 4
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return 14
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} else {
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return 15
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}
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}
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}
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} else {
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if n <= 99_999_999_999_999_999 { // 7
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if n <= 9_999_999_999_999_999 { // 6
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return 16
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} else {
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return 17
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}
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} else {
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if n <= 999_999_999_999_999_999 { // 8
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return 18
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} else {
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if n <= 9_999_999_999_999_999_999 { // 9
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return 19
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}
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return 20
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}
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}
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}
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}
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}
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