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Re: structure and interpretation of computer programs exercsie 1.3 in forth

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From mhx@iae.nl (Marcel Hendrix)
Subject Re: structure and interpretation of computer programs exercsie 1.3 in forth
Newsgroups comp.lang.forth
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Date Mon, 14 Jan 2013 21:27:50 +0200
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albert@spenarnc.xs4all.nl (Albert van der Horst) writes Re: structure and interpretation of computer programs exercsie 1.3 in forth

> In article <7xk3rgt5ay.fsf@ruckus.brouhaha.com>,
> Paul Rubin  <no.email@nospam.invalid> wrote:
>>"Elizabeth D. Rather" <erather@forth.com> writes:
>>> Aren't you ignoring the fact that there's a conditional in min?
>>
>>: min ( a b -- n ) 2dup <= >r 2dup > and swap r> and or ;

>Not to forget that one some processors MIN is a code word without jumps.
>(Like ARM)
[..]

Assuming your Forth has a free stack (like iForth):

: m2 ( n -- n^2 | 0 ) ( S: 3min -- ) dup S <> and dup * ;
: g ( a b c -- n ) 
	3dup min min >S
	rot  m2   ( -- b c a^2 )
	rot  m2 + ( -- c a^2+b^2 )
	swap m2 + 
	-S ;

[ I could have kept 3min and the VALUE, but the LOCALs in g 
produced ugly code. ]

FORTH> ' g idis
$01402ACA  pop           rbx
$01402ACB  pop           rdi
$01402ACC  mov           rax, [rsp] qword
$01402AD0  push          rdi
$01402AD1  push          rbx
$01402AD2  push          rax
$01402AD3  mov           rcx, rdi
$01402AD6  cmp           rbx, rcx
$01402AD9  cmovg         rbx, rcx
$01402ADD  pop           rcx
$01402ADE  cmp           rbx, rcx
$01402AE1  cmovg         rbx, rcx
$01402AE5  pop           rdi
$01402AE6  pop           rax
$01402AE7  pop           rdx
$01402AE8  cmp           rbx, rdx
$01402AEB  setne         cl
$01402AEF  movzx         rcx, cl
$01402AF3  neg           rcx
$01402AF6  and           rdx, rcx
$01402AF9  imul          rdx, rdx
$01402AFD  cmp           rbx, rax
$01402B00  setne         cl
$01402B04  movzx         rcx, cl
$01402B08  neg           rcx
$01402B0B  and           rax, rcx
$01402B0E  imul          rax, rax
$01402B12  lea           r9, [rdx rax*1] qword
$01402B16  cmp           rbx, rdi
$01402B19  setne         cl
$01402B1D  movzx         rcx, cl
$01402B21  neg           rcx
$01402B24  and           rdi, rcx
$01402B27  imul          rdi, rdi
$01402B2B  lea           rbx, [r9  rdi*1] qword
$01402B2F  push          rbx
$01402B30  ;

Branchless.


Andrew's:

: GodHelpedUsAll ( n1 n2 n3 -- n )  2dup max >r min max  dup * r> dup * + ;  

$01402BC0  : [trashed]
$01402BCA  pop           rbx
$01402BCB  mov           rdi, [rsp] qword
$01402BCF  push          rbx
$01402BD0  mov           rcx, rdi
$01402BD3  cmp           rbx, rcx
$01402BD6  cmovl         rbx, rcx
$01402BDA  lea           rbp, [rbp -8 +] qword
$01402BDE  mov           [rbp 0 +] qword, rbx
$01402BE2  pop           rbx
$01402BE3  pop           rcx
$01402BE4  cmp           rbx, rcx
$01402BE7  cmovg         rbx, rcx
$01402BEB  pop           rcx
$01402BEC  cmp           rbx, rcx
$01402BEF  cmovl         rbx, rcx
$01402BF3  imul          rbx, rbx
$01402BF7  mov           rdi, [rbp 0 +] qword
$01402BFB  lea           rbp, [rbp 8 +] qword
$01402BFF  imul          rdi, rdi
$01402C03  lea           rbx, [rbx rdi*1] qword
$01402C07  push          rbx
$01402C08  ;

.. turns out branchless and small.


Howerd's: 

: min ( n n -- n )   2dup - abs - + 2 / ;      \ without conditionals
: max ( n n -- n )   2dup + >r min r> swap - ; \ without conditionals
\ returns the sum of the squares of the two larger values
: GodHelpUsAll ( n1 n2 n3 -- n )  2dup max >r min max  dup * r> dup * + ;  

FORTH> ' GodHelpUsAll idis
$01402CC0  : [trashed]
$01402CCA  pop           rbx
$01402CCB  pop           rdi
$01402CCC  mov           rax, rdi
$01402CCF  sub           rax, rbx
$01402CD2  mov           rdx, rax
$01402CD5  sar           rdx, #63 b#
$01402CD9  xor           rax, rdx
$01402CDC  sub           rax, rdx
$01402CDF  sub           rax, rbx
$01402CE2  neg           rax
$01402CE5  lea           rax, [rdi rax*1] qword
$01402CE9  lea           rdx, [rdi rbx*1] qword
$01402CED  lea           rbp, [rbp -8 +] qword
$01402CF1  mov           [rbp 0 +] qword, rdx
$01402CF5  push          rdi
$01402CF6  mov           rcx, rbx
$01402CF9  mov           rbx, rax
$01402CFC  sar           rbx, 1 b#
$01402D00  mov           rdi, [rbp 0 +] qword
$01402D04  lea           rbp, [rbp 8 +] qword
$01402D08  sub           rdi, rbx
$01402D0B  lea           rbp, [rbp -8 +] qword
$01402D0F  mov           [rbp 0 +] qword, rdi
$01402D13  pop           rbx
$01402D14  mov           rdi, rbx
$01402D17  sub           rdi, rcx
$01402D1A  mov           rax, rdi
$01402D1D  sar           rax, #63 b#
$01402D21  xor           rdi, rax
$01402D24  sub           rdi, rax
$01402D27  sub           rcx, rdi
$01402D2A  lea           rbx, [rbx rcx*1] qword
$01402D2E  sar           rbx, 1 b#
$01402D32  pop           rdi
$01402D33  mov           rax, rdi
$01402D36  sub           rax, rbx
$01402D39  mov           rdx, rax
$01402D3C  sar           rdx, #63 b#
$01402D40  xor           rax, rdx
$01402D43  sub           rax, rdx
$01402D46  sub           rax, rbx
$01402D49  neg           rax
$01402D4C  lea           rax, [rdi rax*1] qword
$01402D50  lea           rdx, [rdi rbx*1] qword
$01402D54  lea           rbp, [rbp -8 +] qword
$01402D58  mov           [rbp 0 +] qword, rdx
$01402D5C  mov           rbx, rax
$01402D5F  sar           rbx, 1 b#
$01402D63  mov           rdi, [rbp 0 +] qword
$01402D67  lea           rbp, [rbp 8 +] qword
$01402D6B  sub           rdi, rbx
$01402D6E  imul          rdi, rdi
$01402D72  mov           rbx, [rbp 0 +] qword
$01402D76  lea           rbp, [rbp 8 +] qword
$01402D7A  imul          rbx, rbx
$01402D7E  lea           rbx, [rdi rbx*1] qword
$01402D82  push          rbx
$01402D83  ;

Branchless but full of gas.

-marcel

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structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-11 04:22 -0800
  Re: structure and interpretation of computer programs exercsie 1.3 in forth Alex McDonald <blog@rivadpm.com> - 2013-01-11 05:47 -0800
    Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-11 06:12 -0800
      Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-11 06:18 -0800
        Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-11 06:20 -0800
      Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-11 06:19 -0800
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              Re: structure and interpretation of computer programs exercsie 1.3 in forth rickman <gnuarm@gmail.com> - 2013-01-14 10:01 -0500
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                Re: structure and interpretation of computer programs exercsie 1.3 in forth Gerry Jackson <gerry@jackson9000.fsnet.co.uk> - 2013-01-14 11:13 +0000
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                Re: structure and interpretation of computer programs exercsie 1.3 in forth mhx@iae.nl (Marcel Hendrix) - 2013-01-14 21:27 +0200
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Howerd <howerdo@yahoo.co.uk> - 2013-01-14 03:34 -0800
                Re: structure and interpretation of computer programs exercsie 1.3  in forth anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2013-01-14 12:53 +0000
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                Re: structure and interpretation of computer programs exercsie 1.3 in forth Alex McDonald <blog@rivadpm.com> - 2013-01-26 04:42 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth albert@spenarnc.xs4all.nl (Albert van der Horst) - 2013-01-26 14:35 +0000
                Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-21 22:38 -0800
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              Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-13 17:33 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth "Elizabeth D. Rather" <erather@forth.com> - 2013-01-14 22:46 +1300
                Re: structure and interpretation of computer programs exercsie 1.3 in forth rickman <gnuarm@gmail.com> - 2013-01-14 10:20 -0500
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Andrew Haley <andrew29@littlepinkcloud.invalid> - 2013-01-14 10:41 -0600
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                Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-21 22:49 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-21 23:55 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth "Ed" <invalid@nospam.com> - 2013-01-18 12:50 +1100
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                Re: structure and interpretation of computer programs exercsie 1.3 in forth "Ed" <invalid@nospam.com> - 2013-01-20 12:42 +1100
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <markrobertwills@yahoo.co.uk> - 2013-01-20 01:24 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Hugh Aguilar <hughaguilar96@yahoo.com> - 2013-01-20 15:51 -0800
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                Re: structure and interpretation of computer programs exercsie 1.3 in forth Hugh Aguilar <hughaguilar96@yahoo.com> - 2013-01-21 19:14 -0800
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                Re: structure and interpretation of computer programs exercsie 1.3 in forth Paul Rubin <no.email@nospam.invalid> - 2013-01-23 22:03 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth "Elizabeth D. Rather" <erather@forth.com> - 2013-01-24 22:13 +1300
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-24 02:57 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Paul Rubin <no.email@nospam.invalid> - 2013-01-26 13:49 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth "Elizabeth D. Rather" <erather@forth.com> - 2013-01-26 12:40 -1000
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                Re: structure and interpretation of computer programs exercsie 1.3 in forth "Paul E. Bennett" <Paul_E.Bennett@topmail.co.uk> - 2013-01-23 23:05 +0000
                Re: structure and interpretation of computer programs exercsie 1.3  in forth anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2013-01-21 17:05 +0000
                Re: structure and interpretation of computer programs exercsie 1.3  in forth "A. K." <akk@nospam.org> - 2013-01-21 19:28 +0100
                Re: structure and interpretation of computer programs exercsie 1.3   in forth anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2013-01-22 17:43 +0000
                Re: structure and interpretation of computer programs exercsie 1.3 in forth "Paul E. Bennett" <Paul_E.Bennett@topmail.co.uk> - 2013-01-22 19:12 +0000
                Re: structure and interpretation of computer programs exercsie 1.3 in forth stephenXXX@mpeforth.com (Stephen Pelc) - 2013-01-21 12:13 +0000
                Re: structure and interpretation of computer programs exercsie 1.3 in forth anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2013-01-21 17:28 +0000
                Re: structure and interpretation of computer programs exercsie 1.3 in forth anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2013-01-22 18:06 +0000
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Bernd Paysan <bernd.paysan@gmx.de> - 2013-01-22 19:30 +0100
              Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-21 23:06 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-22 02:20 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-22 03:36 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-22 06:51 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth marko <marko@marko.marko> - 2013-01-24 22:14 +1100
                Re: structure and interpretation of computer programs exercsie 1.3 in forth the_gavino_himself <visphatesjava@gmail.com> - 2013-01-27 20:39 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth marko <marko@marko.marko> - 2013-02-01 22:07 +1100
                Re: structure and interpretation of computer programs exercsie 1.3 in forth marko <marko@marko.marko> - 2013-02-01 22:53 +1100
                Re: structure and interpretation of computer programs exercsie 1.3 in forth the_gavino_himself <visphatesjava@gmail.com> - 2013-02-08 19:50 -0800
                Re: structure and interpretation of computer programs exercsie 1.3 in forth Elizabeth D Rather <erather@forth.com> - 2013-02-08 19:22 -1000
      Re: structure and interpretation of computer programs exercsie 1.3 in forth Andrew Haley <andrew29@littlepinkcloud.invalid> - 2013-01-11 11:44 -0600
        Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-11 12:34 -0800
    Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-11 06:18 -0800
  Re:structure and interpretation of computer programs exercsie 1.3 in forth Hans Bezemer <the.beez.speaks@gmail.com> - 2013-01-14 00:13 +0100
    Re: structure and interpretation of computer programs exercsie 1.3 in forth Doug Hoffman <glidedog@gmail.com> - 2013-01-13 19:12 -0500
      Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-13 18:26 -0800
      Re: structure and interpretation of computer programs exercsie 1.3 in forth Gerry Jackson <gerry@jackson9000.fsnet.co.uk> - 2013-01-14 08:29 +0000
        Re: structure and interpretation of computer programs exercsie 1.3 in forth Hans Bezemer <the.beez.speaks@gmail.com> - 2013-01-14 23:52 +0100
    Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-13 18:31 -0800
    Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-13 23:19 -0800
      Re: structure and interpretation of computer programs exercsie 1.3 in forth gavino_himself <visploveslisp@gmail.com> - 2013-01-21 22:46 -0800
        Re: structure and interpretation of computer programs exercsie 1.3 in forth Mark Wills <forthfreak@gmail.com> - 2013-01-21 23:40 -0800

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