Ethiopian multiplication: Difference between revisions
m
→{{header|EasyLang}}
VincentARM (talk | contribs) (Add task to arm assembly raspberry pi) |
|||
| (15 intermediate revisions by 8 users not shown) | |||
Line 51:
Use these functions to '''create a function that does Ethiopian multiplication'''.
;Related tasks:
* [[Egyptian_division|Egyptian division]]
;References:
Line 154 ⟶ 156:
{{out}}
<pre>578</pre>
=={{header|AArch64 Assembly}}==
{{works with|as|Raspberry Pi 3B version Buster 64 bits <br> or android 64 bits with application Termux }}
<syntaxhighlight lang AArch64 Assembly>
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program multieth64.s */
/************************************/
/* Constantes */
/************************************/
.include "../includeConstantesARM64.inc"
/*********************************/
/* Initialized data */
/*********************************/
.data
szMessResult: .asciz "Result : "
szMessStart: .asciz "Program 64 bits start.\n"
szCarriageReturn: .asciz "\n"
szMessErreur: .asciz "Error overflow. \n"
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: // entry of program
ldr x0,qAdrszMessStart
bl affichageMess
mov x0,#17
mov x1,#34
bl multEthiop
ldr x1,qAdrsZoneConv
bl conversion10 // decimal conversion
mov x0,#3 // number string to display
ldr x1,qAdrszMessResult
ldr x2,qAdrsZoneConv // insert conversion in message
ldr x3,qAdrszCarriageReturn
bl displayStrings // display message
100: // standard end of the program
mov x0, #0 // return code
mov x8,EXIT
svc #0 // perform the system call
qAdrszCarriageReturn: .quad szCarriageReturn
qAdrsZoneConv: .quad sZoneConv
qAdrszMessResult: .quad szMessResult
qAdrszMessErreur: .quad szMessErreur
qAdrszMessStart: .quad szMessStart
/******************************************************************/
/* Ethiopian multiplication unsigned */
/******************************************************************/
/* x0 first factor */
/* x1 2th factor */
/* x0 return résult */
multEthiop:
stp x1,lr,[sp,-16]! // save registers
stp x2,x3,[sp,-16]! // save registers
mov x2,#0 // init result
1: // loop
cmp x0,#1 // end ?
blt 3f
ands x3,x0,#1 //
add x3,x2,x1 // add factor2 to result
csel x2,x2,x3,eq
mov x3,1
lsr x0,x0,x3 // divide factor1 by 2
cmp x1,0 // overflow ? if bit 63 = 1 ie negative number
blt 2f
mov x4,1
lsl x1,x1,x4 // multiply factor2 by 2
b 1b // or loop
2: // error display
ldr x0,qAdrszMessErreur
bl affichageMess
mov x2,#0
3:
mov x0,x2 // return result
ldp x2,x3,[sp],16 // restaur registers
ldp x1,lr,[sp],16 // restaur registers
ret
/***************************************************/
/* display multi strings */
/***************************************************/
/* x0 contains number strings address */
/* x1 address string1 */
/* x2 address string2 */
/* x3 address string3 */
/* other address on the stack */
/* thinck to add number other address * 8 to add to the stack */
displayStrings: // INFO: displayStrings
stp x1,lr,[sp,-16]! // save registers
stp x2,x3,[sp,-16]! // save registers
stp x4,x5,[sp,-16]! // save registers
add fp,sp,#48 // save paraméters address (6 registers saved * 4 bytes)
mov x4,x0 // save strings number
cmp x4,#0 // 0 string -> end
ble 100f
mov x0,x1 // string 1
bl affichageMess
cmp x4,#1 // number > 1
ble 100f
mov x0,x2
bl affichageMess
cmp x4,#2
ble 100f
mov x0,x3
bl affichageMess
cmp x4,#3
ble 100f
mov x3,#3
sub x2,x4,#8
1: // loop extract address string on stack
ldr x0,[fp,x2,lsl #3]
bl affichageMess
subs x2,x2,#1
bge 1b
100:
ldp x4,x5,[sp],16 // restaur registers
ldp x2,x3,[sp],16 // restaur registers
ldp x1,lr,[sp],16 // restaur registers
ret
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../includeARM64.inc"
</syntaxhighlight>
{{Out}}
<pre>
Program 64 bits start.
Result : 578
</pre>
=={{header|ACL2}}==
<syntaxhighlight lang="lisp">(include-book "arithmetic-3/top" :dir :system)
Line 838 ⟶ 977:
=={{header|BASIC}}==
==={{header|Applesoft BASIC}}===
Same code as [[#Nascom_BASIC|Nascom BASIC]]
==={{header|ASIC}}===
Line 930 ⟶ 1,071:
FUNCTION isEven% (a AS INTEGER)
isEven% = (a MOD 2) - 1
END FUNCTION</syntaxhighlight>
{{out}}
<pre> 17 34
8
4
2
1 544
= 578</pre>
==={{header|BASIC256}}===
<syntaxhighlight lang="
x = 17
y = 34
Line 992 ⟶ 1,134:
DEF FNhalve(A%) = A% DIV 2
DEF FNeven(A%) = ((A% AND 1) = 0)</syntaxhighlight>
{{out}}
<pre> 17 34
8 ---
4 ---
Line 999 ⟶ 1,142:
1 544
===
578</pre>
==={{header|Chipmunk Basic}}===
{{trans|BASIC256}}
{{works with|Chipmunk Basic|3.6.4}}
<syntaxhighlight lang="vbnet">100 sub doub(a)
110 doub = a*2
120 end sub
130 sub half(a)
140 half = int(a/2)
150 end sub
160 sub iseven(a)
170 iseven = (a mod 2)-1
180 end sub
190 outp = 0
200 x = 17
210 y = 34
220 while 1
230 print x;chr$(9);
240 if not (iseven(x)) then
250 outp = outp - y
260 print y
270 else
280 print
290 endif
300 if x < 2 then exit while
310 x = half(x)
320 y = doub(y)
330 wend
340 print "=";chr$(9);outp
350 end</syntaxhighlight>
==={{header|FreeBASIC}}===
Line 1,090 ⟶ 1,263:
Sleep
</syntaxhighlight>note: algorithm uses strings instead of integers
{{out}}
<pre>Half Double * marks those accumulated
Biggest Smallest
Line 1,159 ⟶ 1,333:
doubleInt = Int(num * 2)
End Function</syntaxhighlight>
==={{header|Microsoft Small Basic}}===
<syntaxhighlight lang="microsoftsmallbasic">x = 17
y = 34
tot = 0
Line 1,180 ⟶ 1,352:
TextWindow.Write("=")
TextWindow.CursorLeft = 10
TextWindow.WriteLine(tot)</syntaxhighlight>
==={{header|Minimal BASIC}}===
<syntaxhighlight lang="gwbasic">10 REM Ethiopian multiplication
20 DEF FND(A) = 2*A
30 DEF FNH(A) = INT(A/2)
Line 1,203 ⟶ 1,373:
170 PRINT "------------"
180 PRINT "= "; TAB(9); T; "(sum of kept second vals)"
190 END</syntaxhighlight>
==={{header|MSX Basic}}===
{{works with|MSX BASIC|any}}
Same code as [[#Nascom_BASIC|Nascom BASIC]]
==={{header|Nascom BASIC}}===
{{trans|Modula-2}}
{{works with|Nascom ROM BASIC|4.7}}
<syntaxhighlight lang="basic">10 REM Ethiopian multiplication
20 DEF FND(A)=2*A
30 DEF FNH(A)=INT(A/2)
Line 1,230 ⟶ 1,402:
1000 S$=STR$(NR)
1010 PRINT SPC(9-LEN(S$));S$;
1020 RETURN</syntaxhighlight>
{{out}}
<pre> 17 34
8
4
2
1 544
= 578</pre>
==={{header|PureBasic}}===
Line 1,318 ⟶ 1,487:
EndIf</syntaxhighlight>
{{out}}
Ethiopian multiplication of -17 and 34 ... equals -578
Ethiopian multiplication of -17 and -34 ... equals 578</pre>
==={{header|QB64}}===
Line 1,349 ⟶ 1,518:
END FUNCTION</syntaxhighlight>
{{out}}
<pre>578</pre>
==={{header|Sinclair ZX81 BASIC}}===
Line 1,442 ⟶ 1,609:
REM A - param.; E - result (0 - false)
400 LET E=A-(A/2)*2
RETURN
{{out}}
<pre>17, 34 (kept)
8, 68
4, 136
Line 1,452 ⟶ 1,617:
1, 544 (kept)
------------
= 578 (sum of kept second vals)</pre>
==={{header|True BASIC}}===
A translation of BBC BASIC. True BASIC does not have Boolean operations built-in.
<syntaxhighlight lang="basic">!RosettaCode: Ethiopian Multiplication
! True BASIC v6.007
PROGRAM EthiopianMultiplication
Line 1,486 ⟶ 1,649:
DEF FNhalve(A) = INT(A / 2)
DEF FNeven(A) = MOD(A+1,2)
END</syntaxhighlight>
==={{header|XBasic}}===
{{trans|Modula-2}}
{{works with|Windows XBasic}}
<syntaxhighlight lang="xbasic">' Ethiopian multiplication
PROGRAM "ethmult"
VERSION "0.0000"
Line 1,534 ⟶ 1,694:
RETURN a&& MOD 2 = 0
END FUNCTION
END PROGRAM</syntaxhighlight>
{{out}}
<pre> 17 34
8
4
2
1 544
= 578</pre>
==={{header|Yabasic}}===
<syntaxhighlight lang="
x = 17
y = 34
Line 2,237 ⟶ 2,394:
print "="
print t</syntaxhighlight>
{{out| Output}}<pre>17 34
8
4
2
1
1 544
=
578</pre>
=={{header|D}}==
Line 2,344 ⟶ 2,507:
=={{header|EasyLang}}==
<syntaxhighlight>
func mult x y .
while x >=
if x mod 2 <> 0
tot +=
.
return
.
print
</syntaxhighlight>
Line 2,710 ⟶ 2,868:
=={{header|Fōrmulæ}}==
{{FormulaeEntry|page=https://formulae.org/?script=examples/Ancient_Egyptian_multiplication}}
'''Solution'''
[[File:Fōrmulæ - Ancient Egyptian multiplication 01.png]]
'''Test case'''
[[File:Fōrmulæ - Ancient Egyptian multiplication 02.png]]
[[File:Fōrmulæ - Ancient Egyptian multiplication 03.png]]
Because the required functions are either simple or intrinsic, the solution can be much simpler:
[[File:Fōrmulæ - Ancient Egyptian multiplication 04.png]]
=={{header|FutureBasic}}==
Line 3,294 ⟶ 3,461:
=={{header|Kotlin}}==
<syntaxhighlight lang="scala">// version 1.1.2
Line 3,324 ⟶ 3,492:
99 x 99 = 9801
</pre>
=== Literally follow the algorithm using generateSequence() ===
<syntaxhighlight lang="kotlin">
fun Int.halve() = this shr 1
fun Int.double() = this shl 1
fun Int.isOdd() = this and 1 == 1
fun ethiopianMultiply(n: Int, m: Int): Int =
generateSequence(Pair(n, m)) { p -> Pair(p.first.halve(), p.second.double()) }
.takeWhile { it.first >= 1 }.filter { it.first.isOdd() }.sumOf { it.second }
fun main() {
ethiopianMultiply(17, 34).also { println(it) } // 578
ethiopianMultiply(99, 99).also { println(it) } // 9801
ethiopianMultiply(4, 8).also { println(it) } // 32
}
</syntaxhighlight>
=={{header|Lambdatalk}}==
Line 3,617 ⟶ 3,803:
578
</syntaxhighlight>
=={{header|Maxima}}==
<syntaxhighlight lang="maxima">
/* Function to halve */
halve(n):=floor(n/2)$
/* Function to double */
double(n):=2*n$
/* Predicate function to check wether an integer is even */
my_evenp(n):=if mod(n,2)=0 then true$
/* Function that implements ethiopian function using the three previously defined functions */
ethiopian(n1,n2):=block(cn1:n1,cn2:n2,list_w:[],
while cn1>0 do (list_w:endcons(cn1,list_w),cn1:halve(cn1)),
n2_list:append([cn2],makelist(cn2:double(cn2),length(list_w)-1)),
sublist_indices(list_w,lambda([x],not my_evenp(x))),
makelist(n2_list[i],i,%%),
apply("+",%%))$
</syntaxhighlight>
Line 6,453 ⟶ 6,659:
=={{header|Wren}}==
<syntaxhighlight lang="
var double = Fn.new { |n| n * 2 }
Line 6,700 ⟶ 6,906:
--------
7006652</pre>
=={{header|zig}}==
<syntaxhighlight lang="zig">
// programme multiplication ethiopienne
// Ethiopian multiplication
const std = @import("std");
const expect = std.testing.expect;
const print = @import("std").debug.print;
pub fn main() !void {
const Res = multiEth(17,34);
print("Resultat= {} \n", .{ Res });
}
test "Ethiopian multiplication" {
try expect(multiEth(20, 10) == 200);
try expect(multiEth(101, 101) == 10201);
try expect(multiEth(20, 0) == 0);
try expect(multiEth(0, 71) == 0);
}
//*****************************
// multiplication
//*****************************
fn multiEth(X: i64, Y: i64) i64 {
var X1=X;
var Y1=Y;
var sum: i64 = 0;
while (X1>=1) {
if ((@mod(X1,2)) == 1)
sum += Y1;
Y1= Y1 * 2;
X1 = @divFloor(X1,2);
}
return sum;
}
</syntaxhighlight>
{{Out}}
<pre>
Resultat= 578
</pre>
=={{header|zkl}}==
| |||