📄 norm.s
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;// ____________________________________________________________________
;//
;// Copyright (c) 2003, Andrew N. Sloss, Dominic Symes, Chris Wright
;// All rights reserved.
;// ____________________________________________________________________
;//
;// NON-COMMERCIAL USE License
;//
;// Redistribution and use in source and binary forms, with or without
;// modification, are permitted provided that the following conditions
;// are met:
;//
;// 1. For NON-COMMERCIAL USE only.
;//
;// 2. Redistributions of source code must retain the above copyright
;// notice, this list of conditions and the following disclaimer.
;//
;// 3. Redistributions in binary form must reproduce the above
;// copyright notice, this list of conditions and the following
;// disclaimer in the documentation and/or other materials provided
;// with the distribution.
;//
;// 4. All advertising materials mentioning features or use of this
;// software must display the following acknowledgement:
;//
;// This product includes software developed by Andrew N. Sloss,
;// Chris Wright and Dominic Symes.
;//
;// THIS SOFTWARE IS PROVIDED BY THE CONTRIBUTORS ``AS IS'' AND ANY
;// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
;// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
;// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE CONTRIBUTORS BE
;// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY,
;// OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
;// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
;// OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
;// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR
;// TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
;// OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY
;// OF SUCH DAMAGE.
;//
;// If you have questions about this license or would like a different
;// license please email : andrew@sloss.net
;//
;// Section 7.2: Signed and unsigned normalisation routines
AREA ch07_2, CODE, READONLY
EXPORT unorm_arm9e
EXPORT snorm_arm9e
EXPORT unorm_arm7m
EXPORT unorm_arm7m_hash
EXPORT ctz_arm9e
EXPORT ctz_arm7m
x RN 0 ; input, output integer
shift RN 1 ; shift to normalize
; __value_in_regs struct { unsigned x; int shift; }
; unorm_arm9e(unsigned x)
unorm_arm9e
CLZ shift, x ; left shift to normalize
MOV x, x, LSL shift ; normalize
MOV pc, lr
; __value_in_regs struct { signed x; int shift; }
; unorm_arm9e(signed x)
snorm_arm9e ; [ s s s 1-s x x ... ]
EOR shift, x, x, LSL#1 ; [ 0 0 1 x x x ... ]
CLZ shift, shift ; left shift to normalize
MOV x, x, LSL shift ; normalize
MOV pc, lr
; __value_in_regs struct { unsigned x; int shift; }
; unorm_arm7m(unsigned x)
unorm_arm7m
MOV shift, #0 ; shift=0;
CMP x, #1<<16 ; if (x < (1<<16))
MOVCC x, x, LSL#16 ; { x = x<<16;
ADDCC shift, shift, #16 ; shift+=16; }
TST x, #0xFF000000 ; if (x < (1<<24))
MOVEQ x, x, LSL#8 ; { x = x<<8;
ADDEQ shift, shift, #8 ; shift+=8; }
TST x, #0xF0000000 ; if (x < (1<<28))
MOVEQ x, x, LSL#4 ; { x = x<<4;
ADDEQ shift, shift, #4 ; shift+=4; }
TST x, #0xC0000000 ; if (x < (1<<30))
MOVEQ x, x, LSL#2 ; { x = x<<2;
ADDEQ shift, shift, #2 ; shift+=2; }
TST x, #0x80000000 ; if (x < (1<<31))
ADDEQ shift, shift, #1 ; { shift+=1;
MOVEQS x, x, LSL#1 ; x<<=1;
MOVEQ shift, #32 ; if (x==0) shift=32; }
MOV pc, lr
table RN 2 ; address of hash lookup table
; __value_in_regs struct { unsigned x; int shift; }
; unorm_arm7m_hash(unsigned x)
unorm_arm7m_hash
ORR shift, x, x, LSR#1
ORR shift, shift, shift, LSR#2
ORR shift, shift, shift, LSR#4
ORR shift, shift, shift, LSR#8
BIC shift, shift, shift, LSR#16
RSB shift, shift, shift, LSL#9 ; *(2^9-1)
RSB shift, shift, shift, LSL#11 ; *(2^11-1)
RSB shift, shift, shift, LSL#14 ; *(2^14-1)
ADR table, unorm_arm7m_hash_table
LDRB shift, [table, shift, LSR#26]
MOV x, x, LSL shift
MOV pc, lr
unorm_arm7m_hash_table
DCB 0x20, 0x14, 0x13, 0xff, 0xff, 0x12, 0xff, 0x07
DCB 0x0a, 0x11, 0xff, 0xff, 0x0e, 0xff, 0x06, 0xff
DCB 0xff, 0x09, 0xff, 0x10, 0xff, 0xff, 0x01, 0x1a
DCB 0xff, 0x0d, 0xff, 0xff, 0x18, 0x05, 0xff, 0xff
DCB 0xff, 0x15, 0xff, 0x08, 0x0b, 0xff, 0x0f, 0xff
DCB 0xff, 0xff, 0xff, 0x02, 0x1b, 0x00, 0x19, 0xff
DCB 0x16, 0xff, 0x0c, 0xff, 0xff, 0x03, 0x1c, 0xff
DCB 0x17, 0xff, 0x04, 0x1d, 0xff, 0xff, 0x1e, 0x1f
; unsigned ctz_arm9e(unsigned x)
ctz_arm9e
RSBS shift, x, #0 ; shift=-x
AND shift, shift, x ; isolate trailing 1 of x
CLZCC shift, shift ; number of zeros above last 1
RSC r0, shift, #32 ; number of zeros below last 1
MOV pc, lr
; unsigned ctz_arm7m(unsigned x)
ctz_arm7m
RSB shift, x, #0
AND shift, shift, x ; isolate lowest bit
ADD shift, shift, shift, LSL#4 ; *(2^4+1)
ADD shift, shift, shift, LSL#6 ; *(2^6+1)
RSB shift, shift, shift, LSL#16 ; *(2^16-1)
ADR table, ctz_arm7m_hash_table
LDRB r0, [table, shift, LSR#26]
MOV pc, lr
ctz_arm7m_hash_table
DCB 0x20, 0x00, 0x01, 0x0c, 0x02, 0x06, 0xff, 0x0d
DCB 0x03, 0xff, 0x07, 0xff, 0xff, 0xff, 0xff, 0x0e
DCB 0x0a, 0x04, 0xff, 0xff, 0x08, 0xff, 0xff, 0x19
DCB 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x1b, 0x0f
DCB 0x1f, 0x0b, 0x05, 0xff, 0xff, 0xff, 0xff, 0xff
DCB 0x09, 0xff, 0xff, 0x18, 0xff, 0xff, 0x14, 0x1a
DCB 0x1e, 0xff, 0xff, 0xff, 0xff, 0x17, 0xff, 0x13
DCB 0x1d, 0xff, 0x16, 0x12, 0x1c, 0x11, 0x10
END
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