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| /*
| Copyright (c) 2014, Intel Corporation
| All rights reserved.
|
| Redistribution and use in source and binary forms, with or without
| modification, are permitted provided that the following conditions are met:
|
| * Redistributions of source code must retain the above copyright notice,
| * this list of conditions and the following disclaimer.
|
| * 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.
|
| * Neither the name of Intel Corporation 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 COPYRIGHT OWNER 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.
| */
|
| /******************************************************************************/
| // ALGORITHM DESCRIPTION
| // ---------------------
| //
| // X87 version:
| // Use 80-bit FPU precision fmul, fsqrt to compute square and sqrt.
| //
| // SSE version:
| // Swap x, y if |x|<|y|
| // For x=2^k*x, get y=y*2^(-k)
| // Get S ~ sqrt(x^2+y^2) (leading 1 + leading 25 mantissa bits)
| //
| // Get D = ( RN(x^2+y^2) - S^2 ) + ( x^2 - RN(x^2) ) +
| // + ( y^2 - ((RN(x^2+y^2)-RN(x^2)) )
| //
| // Result is 2^k*(S + Se), where Se = S*e
| // S*e is approximated as (D/2S)*( 1 - (D/2S)^2*1.0/S )
| //
| // Return 2^k*(S+Se)
| //
| // For |y/x|<2^(-64), return x
| //
| // For cases where maximum biased exponent is either greater than 7fdh or
| // below 32, take a special path to check for special cases (0, NaN, Inf),
| // possible overflow, and more accurate computation for denormal results
| //
| // Special cases:
| // hypot(x,y), hypot(y,x), and hypot(x,-y) are equivalent
| // hypot(x,+-0) is equivalent to fabs(x)
| // hypot(x,y) = y if (x==NaN or x==INF) and y==INF
| // hypot(x,y) = x if (x==NaN or x==INF) and y!=INF (even if y==NaN!)
| // hypot(x,y) = y if (x!=NaN and x!=INF) and (y==NaN or y==INF)
| //
| /******************************************************************************/
|
| #include <private/bionic_asm.h>
| # -- Begin static_func
| .text
| .align __bionic_asm_align
| .type static_func, @function
| static_func:
| ..B1.1:
| call ..L2
| ..L2:
| popl %eax
| lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
| lea static_const_table@GOTOFF(%eax), %eax
| ret
| .size static_func,.-static_func
| # -- End static_func
|
| # -- Begin hypot
| ENTRY(hypot)
| # parameter 1: 8 + %ebp
| # parameter 2: 16 + %ebp
| ..B2.1:
| ..B2.2:
| pushl %ebp
| movl %esp, %ebp
| subl $152, %esp
| movl %ebx, 96(%esp)
| call static_func
| movl %eax, %ebx
| movapd (%ebx), %xmm3
| movsd 160(%esp), %xmm0
| movsd 168(%esp), %xmm1
| andpd %xmm3, %xmm0
| andpd %xmm3, %xmm1
| pextrw $3, %xmm0, %eax
| pextrw $3, %xmm1, %edx
| cmpl $24528, %eax
| ja .L_2TAG_PACKET_0.0.2
| cmpl $24528, %edx
| ja .L_2TAG_PACKET_0.0.2
| .L_2TAG_PACKET_1.0.2:
| fldl 160(%esp)
| fldl 168(%esp)
| fxch %st(1)
| fmul %st(0), %st
| fxch %st(1)
| nop
| fmul %st(0), %st
| faddp %st, %st(1)
| fsqrt
| jmp .L_2TAG_PACKET_2.0.2
| .L_2TAG_PACKET_0.0.2:
| cmpl $32752, %eax
| movl %eax, %ecx
| jae .L_2TAG_PACKET_3.0.2
| subl %edx, %ecx
| cmpl $32752, %edx
| jae .L_2TAG_PACKET_3.0.2
| addl $928, %ecx
| addl %edx, %eax
| cmpl $1856, %ecx
| ja .L_2TAG_PACKET_4.0.2
| cmpl $49056, %eax
| jb .L_2TAG_PACKET_1.0.2
| fldl 160(%esp)
| fldl 168(%esp)
| fxch %st(1)
| fmul %st(0), %st
| fxch %st(1)
| nop
| fmul %st(0), %st
| faddp %st, %st(1)
| fsqrt
| .L_2TAG_PACKET_5.0.2:
| fstl (%esp)
| fstpt 16(%esp)
| xorl %eax, %eax
| movw 24(%esp), %ax
| cmpl $17407, %eax
| jae .L_2TAG_PACKET_6.0.2
| fldl (%esp)
| jmp .L_2TAG_PACKET_7.0.2
| .L_2TAG_PACKET_4.0.2:
| movsd %xmm0, 32(%esp)
| movsd %xmm1, 40(%esp)
| fldl 32(%esp)
| faddl 40(%esp)
| jmp .L_2TAG_PACKET_5.0.2
| .L_2TAG_PACKET_6.0.2:
| movl $46, %edx
| .L_2TAG_PACKET_8.0.2:
| movsd 160(%esp), %xmm0
| movsd 168(%esp), %xmm1
| fldl (%esp)
| jmp .L_2TAG_PACKET_7.0.2
| .L_2TAG_PACKET_3.0.2:
| shufpd $0, %xmm1, %xmm0
| movdqa %xmm0, %xmm2
| movdqa 16(%ebx), %xmm3
| movsd %xmm0, 32(%esp)
| movsd %xmm1, 40(%esp)
| cmppd $3, %xmm0, %xmm2
| cmppd $0, %xmm0, %xmm3
| movmskpd %xmm2, %edx
| movmskpd %xmm3, %eax
| testl %edx, %edx
| je .L_2TAG_PACKET_9.0.2
| fldl 32(%esp)
| fmull 40(%esp)
| testl $1, %eax
| jne .L_2TAG_PACKET_10.0.2
| testl $2, %eax
| jne .L_2TAG_PACKET_11.0.2
| jmp .L_2TAG_PACKET_2.0.2
| .L_2TAG_PACKET_9.0.2:
| fldl 32(%esp)
| faddl 40(%esp)
| jmp .L_2TAG_PACKET_2.0.2
| .L_2TAG_PACKET_10.0.2:
| fstpl 40(%esp)
| fldl 32(%esp)
| jmp .L_2TAG_PACKET_7.0.2
| .L_2TAG_PACKET_11.0.2:
| fstpl 32(%esp)
| fldl 40(%esp)
| jmp .L_2TAG_PACKET_7.0.2
| .L_2TAG_PACKET_2.0.2:
| .L_2TAG_PACKET_7.0.2:
| movl 96(%esp), %ebx
| movl %ebp, %esp
| popl %ebp
| ret
| ..B2.3:
| END(hypot)
| # -- End hypot
|
| # Start file scope ASM
| ALIAS_SYMBOL(hypotl, hypot);
| # End file scope ASM
| .section .rodata, "a"
| .align 16
| .align 16
| static_const_table:
| .long 4294967295
| .long 2147483647
| .long 4294967295
| .long 2147483647
| .long 0
| .long 2146435072
| .long 0
| .long 2146435072
| .type static_const_table,@object
| .size static_const_table,32
| .data
| .section .note.GNU-stack, ""
| # End
|
|
