RIFF¤ WEBPVP8 ˜ ðÑ *ôô>‘HŸK¥¤"§£±¨àð .......................................===Shadow-Here===........................................ > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < > < ------------------------------------------------------------------------------------------------ //////////////////////////////////////////////////////////////////////////////////////////////// GIF89a=( õ' 7IAXKgNgYvYx\%wh…hŽth%ˆs%—x¨}9®Œ©€&©‰%¶†(¹–.¹5·œD¹&Çš)ÇŸ5ǘ;Í£*È¡&Õ²)ׯ7×µ<Ñ»4ï°3ø‘HÖ§KͯT÷¨Yÿšqÿ»qÿÔFØ !ù ' !ÿ NETSCAPE2.0 , =( þÀ“pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§gª«ªE¯°¨¬ª±²Œ¹º¹E¾­”´ÂB¶¯ §Åȸ»ÑD¾¿Á•ÄÅ®° ÝH¾ÒLÀÆDÙ«D¶BÝïðÀ¾DÑÑÔTÌÍíH òGö¨A RÎڐ |¥ ٭&ºìE8œ¹kGÔAÞpx­a¶­ã R2XB®åE8I€Õ6Xî:vT)äžþÀq¦è³¥ì仕F~%xñ  4#ZÔ‰O|-4Bs‘X:= QÉ œš lºÒyXJŠGȦ|s hÏíK–3l7·B|¥$'7Jީܪ‰‡àá”Dæn=Pƒ ¤Òëí‰`䌨ljóá¯Éüv>á–Á¼5 ½.69ûϸd«­ºÀûnlv©‹ªîf{¬ÜãPbŸ  l5‘Ž¯pß ´ ˜3aÅùäI«O’ý·‘áÞ‡˜¾Æ‚ÙÏiÇÿ‹Àƒ #öó)pâš Þ½ ‘Ý{ó)vmÞü%D~ 6f s}ŃƒDØW Eþ`‡þ À…L8xá†ç˜{)x`X/> Ì}mø‚–RØ‘*|`D=‚Ø_ ^ð5 !_…'aä“OÚ—7âcð`D”Cx`ÝÂ¥ä‹éY¹—F¼¤¥Š?¡Õ™ n@`} lď’ÄÉ@4>ñd œ à‘vÒxNÃ×™@žd=ˆgsžG±æ ´²æud &p8Qñ)ˆ«lXD©øÜéAžHìySun jª×k*D¤LH] †¦§C™Jä–´Xb~ʪwStŽ6K,°£qÁœ:9ت:¨þªl¨@¡`‚ûÚ ».Û¬¯t‹ÆSÉ[:°=Š‹„‘Nåû”Ìî{¿ÂA ‡Rà›ÀÙ6úë°Ÿð0Ä_ ½;ÃϱîÉì^ÇÛÇ#Ëë¼ôº!±Ä˜íUîÅÇ;0L1óÁµö«p% AÀºU̬ݵ¼á%霼€‡¯Á~`ÏG¯»À× ­²± =4ªnpð3¾¤³¯­ü¾¦îuÙuµÙ®|%2ÊIÿür¦#0·ÔJ``8È@S@5ê¢ ö×Þ^`8EÜ]ý.뜃Âç 7 ú ȉÞj œ½Dç zý¸iþœÑÙûÄë!ˆÞÀl§Ïw‹*DçI€nEX¯¬¼ &A¬Go¼QföõFç°¯;é¦÷îŽêJ°îúôF5¡ÌQ|îúöXªæ»TÁÏyñêï]ê² o óÎC=öõ›ÒÓPB@ D×½œä(>èCÂxŽ`±«Ÿ–JЀ»Û á¤±p+eE0`ëŽ`A Ú/NE€Ø†À9‚@¤à H½7”à‡%B‰`Àl*ƒó‘–‡8 2ñ%¸ —€:Ù1Á‰E¸àux%nP1ð!‘ðC)¾P81lÑɸF#ˆ€{´âé°ÈB„0>±û °b¡Š´±O‚3È–Ù()yRpbµ¨E.Z‘D8ÊH@% òŒx+%Ù˜Æcü »¸˜fõ¬b·d`Fê™8èXH"ÉÈ-±|1Ô6iI, 2““¬$+](A*jÐ QTÂo‰.ÛU슬Œã„Ž`¯SN¡–¶Äåyše¯ª’­¬‚´b¦Éož œ)åyâ@Ì®3 ÎtT̉°&Ø+žLÀf"Ø-|žçÔ>‡Ðv¦Ðžì\‚ Q1)Ž@Žh#aP72”ˆ™¨$‚ !ù " , =( …7IAXG]KgNgYvYxR"k\%w]'}hŽth%ˆg+ˆs%—r.—m3šx3˜x¨}9®€&©€+¨‡7§‰%¶†(¹–.¹œD¹&ǘ;Í•&ײ)×»4ïÌ6ò§KÍ þ@‘pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§g «¬ E ±± ¨­¶°ººE Á´”·®C¬²§Ç¶Œ»ÓDÃÕƷ¯Ê±H½ºM×ÁGÚ¬D¶BËÁ½î½DÓôTÏÛßîG»ôõC×CÌ l&âž:'òtU³6ɹ#·Ø)€'Ü.6±&ëÍÈ» K(8p0N?!æ2"ÛˆNIJX>R¼ÐO‚M '¡¨2¸*Ÿþ>#n↠å@‚<[:¡Iïf’ ¤TÚ˘CdbÜÙ“[«ŽEú5MBo¤×@€`@„€Êt W-3 ¶Ÿ¡BíêäjIÝ…Eò9[T…$íêﯧ„…•s»Óȳ¹€ÅÚdc®UUρ#±Ùïldj?´í¼²`\ŽÁðÞu|3'ÖŒ]ë6 ¶S#²‡˜FKLÈ *N E´‘áäŠ$˜›eÄYD„ºq«.è촁ƒs \-ÔjA 9²õ÷å- üúM[Âx(ís÷ì®x€|í¡Ù’p¦‚ ŽkÛTÇDpE@WÜ ²Ç]kŠ1¨ þ€·Yb ÓÁ‰l°*n0 ç™—žzBdОu¾7ĉBl€â‰-ºx~|UåU‰  h*Hœ|e"#"?vpÄiŠe6^ˆ„+qâŠm8 #VÇá ‘å–ÄV„œ|Šè•m"сœn|@›U¶ÆΞ—Špb¥G¨ED”€±Úê2FÌIç? >Éxå Œ± ¡¤„%‘žjŸ‘ꄯ<Ìaà9ijÐ2˜D¦È&›†Z`‚å]wþ¼Â:ç6àB¤7eFJ|õÒ§Õ,¨äàFÇ®cS·Ê¶+B°,‘Þ˜ºNûãØ>PADÌHD¹æž«ÄÀnÌ¥}­#Ë’ë QÀÉSÌÂÇ2ÌXÀ{æk²lQÁ2«ÊðÀ¯w|2Í h‹ÄÂG€,m¾¶ë3ÐÙ6-´ÅE¬L°ÆIij*K½ÀÇqï`DwVÍQXœÚÔpeœ±¬Ñ q˜§Tœ½µƒ°Œìu Â<¶aØ*At¯lmEØ ü ôÛN[P1ÔÛ¦­±$ÜÆ@`ùåDpy¶yXvCAyåB`ŽD¶ 0QwG#¯ æš[^Äþ $ÀÓÝǦ{„L™[±úKÄgÌ;ï£S~¹ìGX.ôgoT.»åˆ°ùŸûù¡?1zö¦Ÿž:ÅgÁ|ìL¹ „®£œŠ‚à0œ]PÁ^p F<"•ç?!,ñ‡N4—…PÄ Á„ö¨Û:Tè@hÀ‹%táÿ:ø-žI<`þ‹p I….)^ 40D#p@ƒj4–؀:²‰1Øâr˜¼F2oW¼#Z†;$Q q” ‘ ÂK¦ñNl#29 !’F@¥Bh·ᏀL!—XFóLH‘Kh¤.«hE&JòG¨¥<™WN!€ÑÙÚˆY„@†>Œž19J" 2,/ &.GXB%ÌRÈ9B6¹W]’î×ÔW¥’IÎ$ ñ‹ÓŒE8YÆ ¼³™ñA5“à®Q.aŸB€&Ø©³ JÁ—! ¦t)K%tœ-¦JF bòNMxLôþ)ÐR¸Ð™‘ èÝ6‘O!THÌ„HÛ ‰ !ù ) , =( …AXKgNgYvYxR"k\%wh…hŽh%ˆg+ˆs%—r.—x3˜x¨}9®€&©€+¨Œ,©‡7§‰%¶†(¹–.¹5·&Çš)ǘ;Í•&×£*Ȳ)ׯ7×»4ï°3øÌ6ò‘HÖ§KÍ»Hó¯T÷¨Yÿ»qÿÇhÿ þÀ”pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§g ª« E$±²¨ª­ · °²½$E$ÂÕ««D· Í ¿¦Ç¶¸ÌŒ¾³CÃÅÆ E ééH½MÛÂGâªD­ çBêêϾD²ÒaÀà€Š1r­ðÓ¤ ÔožzU!L˜C'¾yW½UGtäÇïÙllê0×àÂuGþ)AÀs[þ·xì ÁxO%ƒûX2ó—  P£n›R/¡ÑšHše+êDm?# —‘Ç£6¡8íJ¡ŸâDiäªM¥Ö„ôj“¬¹£5oQ7°- <‡ *´lãÓŒ2r/a!l)dÈ A™ÈE¢ôÔ͆…ð ;Ö˜c ¡%ß‚’Ùˆâ¸b½—pe~C"BíëÚHïeF2§æŠ8qb t_`urŠeü wÅu3êæPv§h•"ß`íÍxçLĹÜÖ3á  ~Öº“®›¸ÏMDfJÙ °„ÛµáWõ%§œ‚à©–‚X Ó؁)@®Ñ›Eþ´wëuÅSxb8y\mÖzœ¥§ZbºE—ÂLªÌw!y(>¡™wú=Ç|ÅÝs¢d €CÁW)HÜcC$€L Ä7„r.á\{)@ð` @ äXÈ$PD” `šaG:§æˆOˆ72EÐamn]ù"ŒcÊxÑŒ° &dR8`g«iÙŸLR!¦P …d’ä¡“¦ðÎTƒ¦ià|À _ ¥ Qi#¦Šg›Æ ›noMµ ›V ã£)p ç£ÎW…š=Âeªk§†j„ ´®1ß²sÉxéW«jšl|0¯B0Û, \jÛ´›6±¬¶C ÛíWþï|ëÙ‹¸ñzĸV {ì;Ýñn¼òVˆm³I¼³.Ðã¤PN¥ ²µ¼„µCã+¹ÍByî£Ñ¾HŸ›ëê 7ìYÆFTk¨SaoaY$Dµœìï¿Ã29RÈkt Çïfñ ÇÒ:ÀÐSp¹3ÇI¨â¥DZÄ ü9Ïýögñ½­uÔ*3)O‘˜Ö[_hv ,àî×Et Ÿé¶BH€ Õ[ü±64M@ÔSÌM7dÐl5-ÄÙU܍´©zߌ3Ô€3ž„ „ ¶ÛPô½5×g› êÚ˜kN„Ý…0Îj4€Ìë°“#{þÕ3S2çKÜ'ợlø¼Ú2K{° {Û¶?žm𸧠ËI¼nEò='êüóºè^üæÃ_Û=°óž‚ì#Oý¿Í'¡½áo..ÏYìnüñCœO±Áa¿¢Kô½o,üÄËbö²çºíï{ËC Ú— "”Ï{ËK ÍÒw„õ±Oz dÕ¨à:$ ƒô—«v»] A#ð «€¿šéz)Rx׿ˆ¥‚d``èw-îyÏf×K!ð€þ­Ð|ìPľ„=Ì`ý(f” 'Pa ¥ÐBJa%Ðâf§„%Š¡}FàáÝ×6>ÉäŠG"éŽè=ø!oŠ°^FP¼Ø©Q„ÀCÙÁ`(Ž\ÄÝ® ©Â$<n@dÄ E#ììUÒI! ‚#lù‹`k¦ÐÇ'Rró’ZýNBÈMF Í[¤+‹ðɈ-áwj¨¥þ8¾rá ,VÂh„"|½œ=×G_¦Ñ™EØ 0i*%̲˜Æda0mV‚k¾)›;„&6 p>ÓjK “¦Ç# âDÂ:ûc?:R Ó¬fÞéI-Ì“•Ã<ä=™Ï7˜3œ¨˜c2ŒW ,ˆ”8(T™P‰F¡Jhç"‚ ; 403WebShell
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Current File : /opt/golang/1.19.4/src/strconv/decimal.go
// Copyright 2009 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

// Multiprecision decimal numbers.
// For floating-point formatting only; not general purpose.
// Only operations are assign and (binary) left/right shift.
// Can do binary floating point in multiprecision decimal precisely
// because 2 divides 10; cannot do decimal floating point
// in multiprecision binary precisely.

package strconv

type decimal struct {
	d     [800]byte // digits, big-endian representation
	nd    int       // number of digits used
	dp    int       // decimal point
	neg   bool      // negative flag
	trunc bool      // discarded nonzero digits beyond d[:nd]
}

func (a *decimal) String() string {
	n := 10 + a.nd
	if a.dp > 0 {
		n += a.dp
	}
	if a.dp < 0 {
		n += -a.dp
	}

	buf := make([]byte, n)
	w := 0
	switch {
	case a.nd == 0:
		return "0"

	case a.dp <= 0:
		// zeros fill space between decimal point and digits
		buf[w] = '0'
		w++
		buf[w] = '.'
		w++
		w += digitZero(buf[w : w+-a.dp])
		w += copy(buf[w:], a.d[0:a.nd])

	case a.dp < a.nd:
		// decimal point in middle of digits
		w += copy(buf[w:], a.d[0:a.dp])
		buf[w] = '.'
		w++
		w += copy(buf[w:], a.d[a.dp:a.nd])

	default:
		// zeros fill space between digits and decimal point
		w += copy(buf[w:], a.d[0:a.nd])
		w += digitZero(buf[w : w+a.dp-a.nd])
	}
	return string(buf[0:w])
}

func digitZero(dst []byte) int {
	for i := range dst {
		dst[i] = '0'
	}
	return len(dst)
}

// trim trailing zeros from number.
// (They are meaningless; the decimal point is tracked
// independent of the number of digits.)
func trim(a *decimal) {
	for a.nd > 0 && a.d[a.nd-1] == '0' {
		a.nd--
	}
	if a.nd == 0 {
		a.dp = 0
	}
}

// Assign v to a.
func (a *decimal) Assign(v uint64) {
	var buf [24]byte

	// Write reversed decimal in buf.
	n := 0
	for v > 0 {
		v1 := v / 10
		v -= 10 * v1
		buf[n] = byte(v + '0')
		n++
		v = v1
	}

	// Reverse again to produce forward decimal in a.d.
	a.nd = 0
	for n--; n >= 0; n-- {
		a.d[a.nd] = buf[n]
		a.nd++
	}
	a.dp = a.nd
	trim(a)
}

// Maximum shift that we can do in one pass without overflow.
// A uint has 32 or 64 bits, and we have to be able to accommodate 9<<k.
const uintSize = 32 << (^uint(0) >> 63)
const maxShift = uintSize - 4

// Binary shift right (/ 2) by k bits.  k <= maxShift to avoid overflow.
func rightShift(a *decimal, k uint) {
	r := 0 // read pointer
	w := 0 // write pointer

	// Pick up enough leading digits to cover first shift.
	var n uint
	for ; n>>k == 0; r++ {
		if r >= a.nd {
			if n == 0 {
				// a == 0; shouldn't get here, but handle anyway.
				a.nd = 0
				return
			}
			for n>>k == 0 {
				n = n * 10
				r++
			}
			break
		}
		c := uint(a.d[r])
		n = n*10 + c - '0'
	}
	a.dp -= r - 1

	var mask uint = (1 << k) - 1

	// Pick up a digit, put down a digit.
	for ; r < a.nd; r++ {
		c := uint(a.d[r])
		dig := n >> k
		n &= mask
		a.d[w] = byte(dig + '0')
		w++
		n = n*10 + c - '0'
	}

	// Put down extra digits.
	for n > 0 {
		dig := n >> k
		n &= mask
		if w < len(a.d) {
			a.d[w] = byte(dig + '0')
			w++
		} else if dig > 0 {
			a.trunc = true
		}
		n = n * 10
	}

	a.nd = w
	trim(a)
}

// Cheat sheet for left shift: table indexed by shift count giving
// number of new digits that will be introduced by that shift.
//
// For example, leftcheats[4] = {2, "625"}.  That means that
// if we are shifting by 4 (multiplying by 16), it will add 2 digits
// when the string prefix is "625" through "999", and one fewer digit
// if the string prefix is "000" through "624".
//
// Credit for this trick goes to Ken.

type leftCheat struct {
	delta  int    // number of new digits
	cutoff string // minus one digit if original < a.
}

var leftcheats = []leftCheat{
	// Leading digits of 1/2^i = 5^i.
	// 5^23 is not an exact 64-bit floating point number,
	// so have to use bc for the math.
	// Go up to 60 to be large enough for 32bit and 64bit platforms.
	/*
		seq 60 | sed 's/^/5^/' | bc |
		awk 'BEGIN{ print "\t{ 0, \"\" }," }
		{
			log2 = log(2)/log(10)
			printf("\t{ %d, \"%s\" },\t// * %d\n",
				int(log2*NR+1), $0, 2**NR)
		}'
	*/
	{0, ""},
	{1, "5"},                                           // * 2
	{1, "25"},                                          // * 4
	{1, "125"},                                         // * 8
	{2, "625"},                                         // * 16
	{2, "3125"},                                        // * 32
	{2, "15625"},                                       // * 64
	{3, "78125"},                                       // * 128
	{3, "390625"},                                      // * 256
	{3, "1953125"},                                     // * 512
	{4, "9765625"},                                     // * 1024
	{4, "48828125"},                                    // * 2048
	{4, "244140625"},                                   // * 4096
	{4, "1220703125"},                                  // * 8192
	{5, "6103515625"},                                  // * 16384
	{5, "30517578125"},                                 // * 32768
	{5, "152587890625"},                                // * 65536
	{6, "762939453125"},                                // * 131072
	{6, "3814697265625"},                               // * 262144
	{6, "19073486328125"},                              // * 524288
	{7, "95367431640625"},                              // * 1048576
	{7, "476837158203125"},                             // * 2097152
	{7, "2384185791015625"},                            // * 4194304
	{7, "11920928955078125"},                           // * 8388608
	{8, "59604644775390625"},                           // * 16777216
	{8, "298023223876953125"},                          // * 33554432
	{8, "1490116119384765625"},                         // * 67108864
	{9, "7450580596923828125"},                         // * 134217728
	{9, "37252902984619140625"},                        // * 268435456
	{9, "186264514923095703125"},                       // * 536870912
	{10, "931322574615478515625"},                      // * 1073741824
	{10, "4656612873077392578125"},                     // * 2147483648
	{10, "23283064365386962890625"},                    // * 4294967296
	{10, "116415321826934814453125"},                   // * 8589934592
	{11, "582076609134674072265625"},                   // * 17179869184
	{11, "2910383045673370361328125"},                  // * 34359738368
	{11, "14551915228366851806640625"},                 // * 68719476736
	{12, "72759576141834259033203125"},                 // * 137438953472
	{12, "363797880709171295166015625"},                // * 274877906944
	{12, "1818989403545856475830078125"},               // * 549755813888
	{13, "9094947017729282379150390625"},               // * 1099511627776
	{13, "45474735088646411895751953125"},              // * 2199023255552
	{13, "227373675443232059478759765625"},             // * 4398046511104
	{13, "1136868377216160297393798828125"},            // * 8796093022208
	{14, "5684341886080801486968994140625"},            // * 17592186044416
	{14, "28421709430404007434844970703125"},           // * 35184372088832
	{14, "142108547152020037174224853515625"},          // * 70368744177664
	{15, "710542735760100185871124267578125"},          // * 140737488355328
	{15, "3552713678800500929355621337890625"},         // * 281474976710656
	{15, "17763568394002504646778106689453125"},        // * 562949953421312
	{16, "88817841970012523233890533447265625"},        // * 1125899906842624
	{16, "444089209850062616169452667236328125"},       // * 2251799813685248
	{16, "2220446049250313080847263336181640625"},      // * 4503599627370496
	{16, "11102230246251565404236316680908203125"},     // * 9007199254740992
	{17, "55511151231257827021181583404541015625"},     // * 18014398509481984
	{17, "277555756156289135105907917022705078125"},    // * 36028797018963968
	{17, "1387778780781445675529539585113525390625"},   // * 72057594037927936
	{18, "6938893903907228377647697925567626953125"},   // * 144115188075855872
	{18, "34694469519536141888238489627838134765625"},  // * 288230376151711744
	{18, "173472347597680709441192448139190673828125"}, // * 576460752303423488
	{19, "867361737988403547205962240695953369140625"}, // * 1152921504606846976
}

// Is the leading prefix of b lexicographically less than s?
func prefixIsLessThan(b []byte, s string) bool {
	for i := 0; i < len(s); i++ {
		if i >= len(b) {
			return true
		}
		if b[i] != s[i] {
			return b[i] < s[i]
		}
	}
	return false
}

// Binary shift left (* 2) by k bits.  k <= maxShift to avoid overflow.
func leftShift(a *decimal, k uint) {
	delta := leftcheats[k].delta
	if prefixIsLessThan(a.d[0:a.nd], leftcheats[k].cutoff) {
		delta--
	}

	r := a.nd         // read index
	w := a.nd + delta // write index

	// Pick up a digit, put down a digit.
	var n uint
	for r--; r >= 0; r-- {
		n += (uint(a.d[r]) - '0') << k
		quo := n / 10
		rem := n - 10*quo
		w--
		if w < len(a.d) {
			a.d[w] = byte(rem + '0')
		} else if rem != 0 {
			a.trunc = true
		}
		n = quo
	}

	// Put down extra digits.
	for n > 0 {
		quo := n / 10
		rem := n - 10*quo
		w--
		if w < len(a.d) {
			a.d[w] = byte(rem + '0')
		} else if rem != 0 {
			a.trunc = true
		}
		n = quo
	}

	a.nd += delta
	if a.nd >= len(a.d) {
		a.nd = len(a.d)
	}
	a.dp += delta
	trim(a)
}

// Binary shift left (k > 0) or right (k < 0).
func (a *decimal) Shift(k int) {
	switch {
	case a.nd == 0:
		// nothing to do: a == 0
	case k > 0:
		for k > maxShift {
			leftShift(a, maxShift)
			k -= maxShift
		}
		leftShift(a, uint(k))
	case k < 0:
		for k < -maxShift {
			rightShift(a, maxShift)
			k += maxShift
		}
		rightShift(a, uint(-k))
	}
}

// If we chop a at nd digits, should we round up?
func shouldRoundUp(a *decimal, nd int) bool {
	if nd < 0 || nd >= a.nd {
		return false
	}
	if a.d[nd] == '5' && nd+1 == a.nd { // exactly halfway - round to even
		// if we truncated, a little higher than what's recorded - always round up
		if a.trunc {
			return true
		}
		return nd > 0 && (a.d[nd-1]-'0')%2 != 0
	}
	// not halfway - digit tells all
	return a.d[nd] >= '5'
}

// Round a to nd digits (or fewer).
// If nd is zero, it means we're rounding
// just to the left of the digits, as in
// 0.09 -> 0.1.
func (a *decimal) Round(nd int) {
	if nd < 0 || nd >= a.nd {
		return
	}
	if shouldRoundUp(a, nd) {
		a.RoundUp(nd)
	} else {
		a.RoundDown(nd)
	}
}

// Round a down to nd digits (or fewer).
func (a *decimal) RoundDown(nd int) {
	if nd < 0 || nd >= a.nd {
		return
	}
	a.nd = nd
	trim(a)
}

// Round a up to nd digits (or fewer).
func (a *decimal) RoundUp(nd int) {
	if nd < 0 || nd >= a.nd {
		return
	}

	// round up
	for i := nd - 1; i >= 0; i-- {
		c := a.d[i]
		if c < '9' { // can stop after this digit
			a.d[i]++
			a.nd = i + 1
			return
		}
	}

	// Number is all 9s.
	// Change to single 1 with adjusted decimal point.
	a.d[0] = '1'
	a.nd = 1
	a.dp++
}

// Extract integer part, rounded appropriately.
// No guarantees about overflow.
func (a *decimal) RoundedInteger() uint64 {
	if a.dp > 20 {
		return 0xFFFFFFFFFFFFFFFF
	}
	var i int
	n := uint64(0)
	for i = 0; i < a.dp && i < a.nd; i++ {
		n = n*10 + uint64(a.d[i]-'0')
	}
	for ; i < a.dp; i++ {
		n *= 10
	}
	if shouldRoundUp(a, a.dp) {
		n++
	}
	return n
}

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