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- /***************************************************************************
- Copyright (c) 2013, The OpenBLAS Project
- All rights reserved.
- Redistribution and use in source and binary forms, with or without
- modification, are permitted provided that the following conditions are
- met:
- 1. Redistributions of source code must retain the above copyright
- notice, this list of conditions and the following disclaimer.
- 2. 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.
- 3. Neither the name of the OpenBLAS project nor the names of
- its contributors may be used to endorse or promote products
- derived from this software without specific prior written permission.
- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND 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 OPENBLAS PROJECT OR 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.
- *****************************************************************************/
-
- /**************************************************************************************
- * 2013/11/22 Saar
- * BLASTEST : OK
- * CTEST : OK
- * TEST : OK
- *
- **************************************************************************************/
-
- #define ASSEMBLER
- #include "common.h"
-
- #define STACKSIZE 256
-
- #define N r0
- #define X r1
- #define INC_X r2
-
- #define I r12
-
- #define X_PRE 512
-
- /**************************************************************************************
- * Macro definitions
- **************************************************************************************/
-
-
- #if !defined(COMPLEX)
-
- #if defined(DOUBLE)
-
-
- .macro KERNEL_F1
-
- vldmia.f64 X!, { d4 }
- vcmpe.f64 d4, d6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_F1_NEXT_\@
- vabs.f64 d4, d4
- vcmpe.f64 d0, d4 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f64 d2 , d4, d0 // scale >= x ? x / scale
- vmlage.f64 d1 , d2 , d2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_F1_NEXT_\@
- vdiv.f64 d2 , d0, d4 // scale / x
- vmul.f64 d2 , d2, d2 // ( scale / x ) * ( scale / x )
- vmul.f64 d3 , d1, d2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f64 d1 , d3, d7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f64 d0 , d4 // scale = x
-
- KERNEL_F1_NEXT_\@:
-
- .endm
-
- .macro KERNEL_F8
-
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
-
- .endm
-
- .macro KERNEL_S1
-
- vldmia.f64 X, { d4 }
- vcmpe.f64 d4, d6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_S1_NEXT
- vabs.f64 d4, d4
- vcmpe.f64 d0, d4 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f64 d2 , d4, d0 // scale >= x ? x / scale
- vmlage.f64 d1 , d2 , d2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_S1_NEXT
- vdiv.f64 d2 , d0, d4 // scale / x
- vmul.f64 d2 , d2, d2 // ( scale / x ) * ( scale / x )
- vmul.f64 d3 , d1, d2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f64 d1 , d3, d7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f64 d0 , d4 // scale = x
-
- KERNEL_S1_NEXT:
-
- add X, X, INC_X
-
- .endm
-
- #else
-
- .macro KERNEL_F1
-
- vldmia.f32 X!, { s4 }
- vcmpe.f32 s4, s6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_F1_NEXT_\@
- vabs.f32 s4, s4
- vcmpe.f32 s0, s4 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f32 s2 , s4, s0 // scale >= x ? x / scale
- vmlage.f32 s1 , s2 , s2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_F1_NEXT_\@
- vdiv.f32 s2 , s0, s4 // scale / x
- vmul.f32 s2 , s2, s2 // ( scale / x ) * ( scale / x )
- vmul.f32 s3 , s1, s2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f32 s1 , s3, s7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f32 s0 , s4 // scale = x
-
- KERNEL_F1_NEXT_\@:
-
- .endm
-
- .macro KERNEL_F8
-
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
-
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
-
- .endm
-
- .macro KERNEL_S1
-
- vldmia.f32 X, { s4 }
- vcmpe.f32 s4, s6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_S1_NEXT
- vabs.f32 s4, s4
- vcmpe.f32 s0, s4 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f32 s2 , s4, s0 // scale >= x ? x / scale
- vmlage.f32 s1 , s2 , s2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_S1_NEXT
- vdiv.f32 s2 , s0, s4 // scale / x
- vmul.f32 s2 , s2, s2 // ( scale / x ) * ( scale / x )
- vmul.f32 s3 , s1, s2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f32 s1 , s3, s7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f32 s0 , s4 // scale = x
-
- KERNEL_S1_NEXT:
-
- add X, X, INC_X
-
- .endm
-
-
-
-
- #endif
-
- #else
-
- #if defined(DOUBLE)
-
- .macro KERNEL_F1
-
- vldmia.f64 X!, { d4 - d5 }
-
- vcmpe.f64 d4, d6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_F1_NEXT_\@
- vabs.f64 d4, d4
- vcmpe.f64 d0, d4 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f64 d2 , d4, d0 // scale >= x ? x / scale
- vmlage.f64 d1 , d2 , d2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_F1_NEXT_\@
- vdiv.f64 d2 , d0, d4 // scale / x
- vmul.f64 d2 , d2, d2 // ( scale / x ) * ( scale / x )
- vmul.f64 d3 , d1, d2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f64 d1 , d3, d7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f64 d0 , d4 // scale = x
-
- KERNEL_F1_NEXT_\@:
-
- vcmpe.f64 d5, d6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_F1_END_\@
- vabs.f64 d5, d5
- vcmpe.f64 d0, d5 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f64 d2 , d5, d0 // scale >= x ? x / scale
- vmlage.f64 d1 , d2 , d2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_F1_END_\@
- vdiv.f64 d2 , d0, d5 // scale / x
- vmul.f64 d2 , d2, d2 // ( scale / x ) * ( scale / x )
- vmul.f64 d3 , d1, d2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f64 d1 , d3, d7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f64 d0 , d5 // scale = x
-
- KERNEL_F1_END_\@:
-
-
- .endm
-
- .macro KERNEL_F8
-
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
-
- .endm
-
- .macro KERNEL_S1
-
- vldmia.f64 X, { d4 - d5 }
-
- vcmpe.f64 d4, d6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_S1_NEXT_\@
- vabs.f64 d4, d4
- vcmpe.f64 d0, d4 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f64 d2 , d4, d0 // scale >= x ? x / scale
- vmlage.f64 d1 , d2 , d2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_S1_NEXT_\@
- vdiv.f64 d2 , d0, d4 // scale / x
- vmul.f64 d2 , d2, d2 // ( scale / x ) * ( scale / x )
- vmul.f64 d3 , d1, d2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f64 d1 , d3, d7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f64 d0 , d4 // scale = x
-
- KERNEL_S1_NEXT_\@:
-
- vcmpe.f64 d5, d6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_S1_END_\@
- vabs.f64 d5, d5
- vcmpe.f64 d0, d5 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f64 d2 , d5, d0 // scale >= x ? x / scale
- vmlage.f64 d1 , d2 , d2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_S1_END_\@
- vdiv.f64 d2 , d0, d5 // scale / x
- vmul.f64 d2 , d2, d2 // ( scale / x ) * ( scale / x )
- vmul.f64 d3 , d1, d2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f64 d1 , d3, d7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f64 d0 , d5 // scale = x
-
- KERNEL_S1_END_\@:
-
- add X, X, INC_X
-
- .endm
-
-
- #else
-
- .macro KERNEL_F1
-
- vldmia.f32 X!, { s4 - s5 }
-
- vcmpe.f32 s4, s6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_F1_NEXT_\@
- vabs.f32 s4, s4
- vcmpe.f32 s0, s4 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f32 s2 , s4, s0 // scale >= x ? x / scale
- vmlage.f32 s1 , s2 , s2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_F1_NEXT_\@
- vdiv.f32 s2 , s0, s4 // scale / x
- vmul.f32 s2 , s2, s2 // ( scale / x ) * ( scale / x )
- vmul.f32 s3 , s1, s2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f32 s1 , s3, s7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f32 s0 , s4 // scale = x
-
- KERNEL_F1_NEXT_\@:
-
- vcmpe.f32 s5, s6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_F1_END_\@
- vabs.f32 s5, s5
- vcmpe.f32 s0, s5 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f32 s2 , s5, s0 // scale >= x ? x / scale
- vmlage.f32 s1 , s2 , s2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_F1_END_\@
- vdiv.f32 s2 , s0, s5 // scale / x
- vmul.f32 s2 , s2, s2 // ( scale / x ) * ( scale / x )
- vmul.f32 s3 , s1, s2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f32 s1 , s3, s7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f32 s0 , s5 // scale = x
-
- KERNEL_F1_END_\@:
-
-
- .endm
-
- .macro KERNEL_F8
-
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
- pld [ X, #X_PRE ]
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
- KERNEL_F1
-
- .endm
-
- .macro KERNEL_S1
-
- vldmia.f32 X, { s4 - s5 }
-
- vcmpe.f32 s4, s6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_S1_NEXT_\@
- vabs.f32 s4, s4
- vcmpe.f32 s0, s4 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f32 s2 , s4, s0 // scale >= x ? x / scale
- vmlage.f32 s1 , s2 , s2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_S1_NEXT_\@
- vdiv.f32 s2 , s0, s4 // scale / x
- vmul.f32 s2 , s2, s2 // ( scale / x ) * ( scale / x )
- vmul.f32 s3 , s1, s2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f32 s1 , s3, s7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f32 s0 , s4 // scale = x
-
- KERNEL_S1_NEXT_\@:
-
- vcmpe.f32 s5, s6 // compare with 0.0
- vmrs APSR_nzcv, fpscr
- beq KERNEL_S1_END_\@
- vabs.f32 s5, s5
- vcmpe.f32 s0, s5 // compare with scale
- vmrs APSR_nzcv, fpscr
- vdivge.f32 s2 , s5, s0 // scale >= x ? x / scale
- vmlage.f32 s1 , s2 , s2 // ssq += ( x/scale ) * ( x/scale )
- bge KERNEL_S1_END_\@
- vdiv.f32 s2 , s0, s5 // scale / x
- vmul.f32 s2 , s2, s2 // ( scale / x ) * ( scale / x )
- vmul.f32 s3 , s1, s2 // ssq * ( scale / x ) * ( scale / x )
- vadd.f32 s1 , s3, s7 // ssq = 1 + ssq * ( scale / x ) * ( scale / x )
- vmov.f32 s0 , s5 // scale = x
-
- KERNEL_S1_END_\@:
-
- add X, X, INC_X
-
- .endm
-
-
-
- #endif
-
- #endif
-
- /**************************************************************************************
- * End of macro definitions
- **************************************************************************************/
-
- PROLOGUE
-
- b nrm2_begin
-
-
- #if defined(COMPLEX)
-
- #if defined(DOUBLE)
-
- znrm2_zero:
- .word 0x00000000
- .word 0x00000000
-
-
- znrm2_one:
- .word 0x00000000
- .word 0x3ff00000
-
- #else
-
- cnrm2_zero:
- .word 0x00000000
-
- cnrm2_one:
- .word 0x3f800000
-
- #endif
-
- #else
-
- #if defined(DOUBLE)
-
- dnrm2_zero:
- .word 0x00000000
- .word 0x00000000
-
-
- dnrm2_one:
- .word 0x00000000
- .word 0x3ff00000
-
- #else
-
- snrm2_zero:
- .word 0x00000000
-
- snrm2_one:
- .word 0x3f800000
-
- #endif
-
- #endif
-
-
- .align 5
-
-
- nrm2_begin:
-
- #if defined(COMPLEX)
-
- #if defined(DOUBLE)
- vldr.64 d0 , znrm2_zero
- vldr.64 d1 , znrm2_one // ssq=1.0
- vmov.f64 d7 , d1 // value 1.0
- vmov.f64 d6 , d0 // value 0.0
- #else
- vldr.32 s0 , cnrm2_zero
- vldr.32 s1 , cnrm2_one // ssq=1.0
- vmov.f32 s7 , s1 // value 1.0
- vmov.f32 s6 , s0 // value 0.0
- #endif
-
- #else
-
- #if defined(DOUBLE)
- vldr.64 d0 , dnrm2_zero
- vldr.64 d1 , dnrm2_one // ssq=1.0
- vmov.f64 d7 , d1 // value 1.0
- vmov.f64 d6 , d0 // value 0.0
- #else
- vldr.32 s0 , snrm2_zero
- vldr.32 s1 , snrm2_one // ssq=1.0
- vmov.f32 s7 , s1 // value 1.0
- vmov.f32 s6 , s0 // value 0.0
- #endif
-
-
- #endif
-
-
- cmp N, #0
- ble nrm2_kernel_L999
-
- cmp INC_X, #0
- beq nrm2_kernel_L999
-
-
- cmp INC_X, #1
- bne nrm2_kernel_S_BEGIN
-
-
- nrm2_kernel_F_BEGIN:
-
- asrs I, N, #3 // I = N / 8
- ble nrm2_kernel_F1
-
- nrm2_kernel_F8:
-
- KERNEL_F8
-
- subs I, I, #1
- bne nrm2_kernel_F8
-
- nrm2_kernel_F1:
-
- ands I, N, #7
- ble nrm2_kernel_L999
-
-
- nrm2_kernel_F10:
-
- KERNEL_F1
-
- subs I, I, #1
- bne nrm2_kernel_F10
-
- b nrm2_kernel_L999
-
- nrm2_kernel_S_BEGIN:
-
- #if defined(COMPLEX)
-
- #if defined(DOUBLE)
- lsl INC_X, INC_X, #4 // INC_X * SIZE * 2
- #else
- lsl INC_X, INC_X, #3 // INC_X * SIZE * 2
- #endif
-
- #else
-
- #if defined(DOUBLE)
- lsl INC_X, INC_X, #3 // INC_X * SIZE
- #else
- lsl INC_X, INC_X, #2 // INC_X * SIZE
- #endif
-
- #endif
-
-
-
- nrm2_kernel_S1:
-
- mov I, N
-
- .align 5
-
- nrm2_kernel_S10:
-
- KERNEL_S1
-
- subs I, I, #1
- bne nrm2_kernel_S10
-
-
- nrm2_kernel_L999:
-
- #if defined(DOUBLE)
- vsqrt.f64 d1, d1
- vmul.f64 d0, d0, d1
- #else
- vsqrt.f32 s1, s1
- vmul.f32 s0, s0, s1
- #endif
- #if !defined(__ARM_PCS_VFP)
- #if !defined(DOUBLE)
- vmov r0, s0
- #else
- vmov r0, r1, d0
- #endif
- #endif
-
- bx lr
-
- EPILOGUE
-
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