1 /* 2 Copyright (c) 2014, Intel Corporation 3 All rights reserved. 4 5 Redistribution and use in source and binary forms, with or without 6 modification, are permitted provided that the following conditions are met: 7 8 * Redistributions of source code must retain the above copyright notice, 9 * this list of conditions and the following disclaimer. 10 11 * Redistributions in binary form must reproduce the above copyright notice, 12 * this list of conditions and the following disclaimer in the documentation 13 * and/or other materials provided with the distribution. 14 15 * Neither the name of Intel Corporation nor the names of its contributors 16 * may be used to endorse or promote products derived from this software 17 * without specific prior written permission. 18 19 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND 20 ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED 21 WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE 22 DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR 23 ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES 24 (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 25 LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON 26 ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 27 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 28 SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 29 */ 30 31 /******************************************************************************/ 32 // ALGORITHM DESCRIPTION 33 // --------------------- 34 // 35 // X87 version: 36 // Use 80-bit FPU precision fmul, fsqrt to compute square and sqrt. 37 // 38 // SSE version: 39 // Swap x, y if |x|<|y| 40 // For x=2^k*x, get y=y*2^(-k) 41 // Get S ~ sqrt(x^2+y^2) (leading 1 + leading 25 mantissa bits) 42 // 43 // Get D = ( RN(x^2+y^2) - S^2 ) + ( x^2 - RN(x^2) ) + 44 // + ( y^2 - ((RN(x^2+y^2)-RN(x^2)) ) 45 // 46 // Result is 2^k*(S + Se), where Se = S*e 47 // S*e is approximated as (D/2S)*( 1 - (D/2S)^2*1.0/S ) 48 // 49 // Return 2^k*(S+Se) 50 // 51 // For |y/x|<2^(-64), return x 52 // 53 // For cases where maximum biased exponent is either greater than 7fdh or 54 // below 32, take a special path to check for special cases (0, NaN, Inf), 55 // possible overflow, and more accurate computation for denormal results 56 // 57 // Special cases: 58 // hypot(x,y), hypot(y,x), and hypot(x,-y) are equivalent 59 // hypot(x,+-0) is equivalent to fabs(x) 60 // hypot(x,y) = y if (x==NaN or x==INF) and y==INF 61 // hypot(x,y) = x if (x==NaN or x==INF) and y!=INF (even if y==NaN!) 62 // hypot(x,y) = y if (x!=NaN and x!=INF) and (y==NaN or y==INF) 63 // 64 /******************************************************************************/ 65 66 #include <private/bionic_asm.h> 67 # -- Begin static_func 68 .text 69 .align __bionic_asm_align 70 .type static_func, @function 71 static_func: 72 ..B1.1: 73 call ..L2 74 ..L2: 75 popl %eax 76 lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax 77 lea static_const_table@GOTOFF(%eax), %eax 78 ret 79 .size static_func,.-static_func 80 # -- End static_func 81 82 # -- Begin hypot 83 ENTRY(hypot) 84 # parameter 1: 8 + %ebp 85 # parameter 2: 16 + %ebp 86 ..B2.1: 87 ..B2.2: 88 pushl %ebp 89 movl %esp, %ebp 90 subl $152, %esp 91 movl %ebx, 96(%esp) 92 call static_func 93 movl %eax, %ebx 94 movapd (%ebx), %xmm3 95 movsd 160(%esp), %xmm0 96 movsd 168(%esp), %xmm1 97 andpd %xmm3, %xmm0 98 andpd %xmm3, %xmm1 99 pextrw $3, %xmm0, %eax 100 pextrw $3, %xmm1, %edx 101 cmpl $24528, %eax 102 ja .L_2TAG_PACKET_0.0.2 103 cmpl $24528, %edx 104 ja .L_2TAG_PACKET_0.0.2 105 .L_2TAG_PACKET_1.0.2: 106 fldl 160(%esp) 107 fldl 168(%esp) 108 fxch %st(1) 109 fmul %st(0), %st 110 fxch %st(1) 111 nop 112 fmul %st(0), %st 113 faddp %st, %st(1) 114 fsqrt 115 jmp .L_2TAG_PACKET_2.0.2 116 .L_2TAG_PACKET_0.0.2: 117 cmpl $32752, %eax 118 movl %eax, %ecx 119 jae .L_2TAG_PACKET_3.0.2 120 subl %edx, %ecx 121 cmpl $32752, %edx 122 jae .L_2TAG_PACKET_3.0.2 123 addl $928, %ecx 124 addl %edx, %eax 125 cmpl $1856, %ecx 126 ja .L_2TAG_PACKET_4.0.2 127 cmpl $49056, %eax 128 jb .L_2TAG_PACKET_1.0.2 129 fldl 160(%esp) 130 fldl 168(%esp) 131 fxch %st(1) 132 fmul %st(0), %st 133 fxch %st(1) 134 nop 135 fmul %st(0), %st 136 faddp %st, %st(1) 137 fsqrt 138 .L_2TAG_PACKET_5.0.2: 139 fstl (%esp) 140 fstpt 16(%esp) 141 xorl %eax, %eax 142 movw 24(%esp), %ax 143 cmpl $17407, %eax 144 jae .L_2TAG_PACKET_6.0.2 145 fldl (%esp) 146 jmp .L_2TAG_PACKET_7.0.2 147 .L_2TAG_PACKET_4.0.2: 148 movsd %xmm0, 32(%esp) 149 movsd %xmm1, 40(%esp) 150 fldl 32(%esp) 151 faddl 40(%esp) 152 jmp .L_2TAG_PACKET_5.0.2 153 .L_2TAG_PACKET_6.0.2: 154 movl $46, %edx 155 .L_2TAG_PACKET_8.0.2: 156 movsd 160(%esp), %xmm0 157 movsd 168(%esp), %xmm1 158 fldl (%esp) 159 jmp .L_2TAG_PACKET_7.0.2 160 .L_2TAG_PACKET_3.0.2: 161 shufpd $0, %xmm1, %xmm0 162 movdqa %xmm0, %xmm2 163 movdqa 16(%ebx), %xmm3 164 movsd %xmm0, 32(%esp) 165 movsd %xmm1, 40(%esp) 166 cmppd $3, %xmm0, %xmm2 167 cmppd $0, %xmm0, %xmm3 168 movmskpd %xmm2, %edx 169 movmskpd %xmm3, %eax 170 testl %edx, %edx 171 je .L_2TAG_PACKET_9.0.2 172 fldl 32(%esp) 173 fmull 40(%esp) 174 testl $1, %eax 175 jne .L_2TAG_PACKET_10.0.2 176 testl $2, %eax 177 jne .L_2TAG_PACKET_11.0.2 178 jmp .L_2TAG_PACKET_2.0.2 179 .L_2TAG_PACKET_9.0.2: 180 fldl 32(%esp) 181 faddl 40(%esp) 182 jmp .L_2TAG_PACKET_2.0.2 183 .L_2TAG_PACKET_10.0.2: 184 fstpl 40(%esp) 185 fldl 32(%esp) 186 jmp .L_2TAG_PACKET_7.0.2 187 .L_2TAG_PACKET_11.0.2: 188 fstpl 32(%esp) 189 fldl 40(%esp) 190 jmp .L_2TAG_PACKET_7.0.2 191 .L_2TAG_PACKET_2.0.2: 192 .L_2TAG_PACKET_7.0.2: 193 movl 96(%esp), %ebx 194 movl %ebp, %esp 195 popl %ebp 196 ret 197 ..B2.3: 198 END(hypot) 199 # -- End hypot 200 201 # Start file scope ASM 202 ALIAS_SYMBOL(hypotl, hypot); 203 # End file scope ASM 204 .section .rodata, "a" 205 .align 16 206 .align 16 207 static_const_table: 208 .long 4294967295 209 .long 2147483647 210 .long 4294967295 211 .long 2147483647 212 .long 0 213 .long 2146435072 214 .long 0 215 .long 2146435072 216 .type static_const_table,@object 217 .size static_const_table,32 218 .data 219 .section .note.GNU-stack, "" 220 # End 221
