/// basic functions
// two sum
__device__ void two_sum(float a, float b, float &hi, float &lo){
  hi = a + b;  // best guess
  float v = hi - a;
  lo = (a - (hi - v)) + (b - v);
}

__device__ void two_sum(float a, float b, float c, float &hi, float &lo){
  float s,t,u;
  two_sum(b,c,s,t);
  two_sum(a,s,hi,u);
  lo = u + t;
  two_sum(hi,lo,hi,lo);
}

__device__ void two_sum(float a, float b, float c, float d, float &hi, float &lo){
  float t0,t1,t2,t3;
  two_sum(a,b,t0,t1);
  two_sum(t0,c,t0,t2);
  two_sum(t0,d,hi,t3);
  t0 = t1 + t2;
  lo = t0 + t3;
}
/*
* Unchecked requirement
* |a| > |b|
*/
__device__ void quick_two_sum(float a, float b, float &hi, float &lo){
  hi = a + b;  // floating point guess
  lo = b - (hi - a); // error calculation
}
/*
* Unchecked requirement
* |a| > |b| > |c|
*/
__device__ void quick_two_sum(float a, float b,float c, float &hi, float &lo){
  float s,t,u;
  quick_two_sum(b,c,s,t);
  quick_two_sum(a,s,hi,u);
  lo = u + t;;
  quick_two_sum(hi,lo,hi,lo);
}
/*
* Unchecked requirement
* |a| > |b| > |c| > |d|
*/
__device__ void quick_two_sum(float a, float b, float c, float d, float &hi, float &lo){
  float t0,t1,t2,t3;
  quick_two_sum(a,b,t0,t1);
  quick_two_sum(t0,c,t0,t2);
  quick_two_sum(t0,d,hi,t3);
  t0 = t1 + t2;
  lo = t0 + t3;
}


__device__ void quick_two_diff(float a, float b, float &hi, float &lo) {
  hi = a - b;
  lo = (a - hi) - b;
}



__device__ void two_diff(float a, float b, float &hi, float &lo) {
  hi = a - b;
  float v = hi - a;
  lo = (a - (hi - v)) - (b + v);

  /*hi = a - b; 
  float a1 = hi + b;
  float b1 = hi - a1;
  lo = (a - a1) - (b + b1);*/
}
__device__ void two_diff(float a, float b, float c, float &hi, float &lo){
  float s,t,u;
  two_diff(-b,c,s,t);
  two_sum(a,s,hi,u);
  lo = u + t;;
  two_sum(hi,lo,hi,lo);
}

__device__ void two_prod(float a, float b, float &hi, float &lo){
  hi = a * b;
  lo = fmaf(a, b, -hi);
}
	.file	"tmpxft_00346766_00000000-6_error_functions.cudafe1.cpp"
	.text
#APP

#NO_APP
	.type	_ZL26__cudaUnregisterBinaryUtilv, @function
_ZL26__cudaUnregisterBinaryUtilv:
.LFB2020:
	.cfi_startproc
	endbr64
	movq	_ZL20__cudaFatCubinHandle(%rip), %rdi
	jmp	__cudaUnregisterFatBinary@PLT
	.cfi_endproc
.LFE2020:
	.size	_ZL26__cudaUnregisterBinaryUtilv, .-_ZL26__cudaUnregisterBinaryUtilv
	.globl	_Z7two_sumffRfS_
	.type	_Z7two_sumffRfS_, @function
_Z7two_sumffRfS_:
.LFB2008:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2008:
	.size	_Z7two_sumffRfS_, .-_Z7two_sumffRfS_
	.globl	_Z7two_sumfffRfS_
	.type	_Z7two_sumfffRfS_, @function
_Z7two_sumfffRfS_:
.LFB2009:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2009:
	.size	_Z7two_sumfffRfS_, .-_Z7two_sumfffRfS_
	.globl	_Z7two_sumffffRfS_
	.type	_Z7two_sumffffRfS_, @function
_Z7two_sumffffRfS_:
.LFB2010:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2010:
	.size	_Z7two_sumffffRfS_, .-_Z7two_sumffffRfS_
	.globl	_Z13quick_two_sumffRfS_
	.type	_Z13quick_two_sumffRfS_, @function
_Z13quick_two_sumffRfS_:
.LFB2159:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2159:
	.size	_Z13quick_two_sumffRfS_, .-_Z13quick_two_sumffRfS_
	.globl	_Z13quick_two_sumfffRfS_
	.type	_Z13quick_two_sumfffRfS_, @function
_Z13quick_two_sumfffRfS_:
.LFB2167:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2167:
	.size	_Z13quick_two_sumfffRfS_, .-_Z13quick_two_sumfffRfS_
	.globl	_Z13quick_two_sumffffRfS_
	.type	_Z13quick_two_sumffffRfS_, @function
_Z13quick_two_sumffffRfS_:
.LFB2171:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2171:
	.size	_Z13quick_two_sumffffRfS_, .-_Z13quick_two_sumffffRfS_
	.globl	_Z14quick_two_diffffRfS_
	.type	_Z14quick_two_diffffRfS_, @function
_Z14quick_two_diffffRfS_:
.LFB2161:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2161:
	.size	_Z14quick_two_diffffRfS_, .-_Z14quick_two_diffffRfS_
	.globl	_Z8two_diffffRfS_
	.type	_Z8two_diffffRfS_, @function
_Z8two_diffffRfS_:
.LFB2163:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2163:
	.size	_Z8two_diffffRfS_, .-_Z8two_diffffRfS_
	.globl	_Z8two_difffffRfS_
	.type	_Z8two_difffffRfS_, @function
_Z8two_difffffRfS_:
.LFB2169:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2169:
	.size	_Z8two_difffffRfS_, .-_Z8two_difffffRfS_
	.globl	_Z8two_prodffRfS_
	.type	_Z8two_prodffRfS_, @function
_Z8two_prodffRfS_:
.LFB2165:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	popq	%rax
	.cfi_def_cfa_offset 8
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	movl	$1, 12(%rsp)
	movl	12(%rsp), %edi
	call	exit@PLT
	.cfi_endproc
.LFE2165:
	.size	_Z8two_prodffRfS_, .-_Z8two_prodffRfS_
	.section	.text.startup,"ax",@progbits
	.type	_ZL24__sti____cudaRegisterAllv, @function
_ZL24__sti____cudaRegisterAllv:
.LFB2043:
	.cfi_startproc
	endbr64
	pushq	%rax
	.cfi_def_cfa_offset 16
	leaq	_ZL15__fatDeviceText(%rip), %rdi
	call	__cudaRegisterFatBinary@PLT
	movq	%rax, %rdi
	movq	%rax, _ZL20__cudaFatCubinHandle(%rip)
	call	__cudaRegisterFatBinaryEnd@PLT
	leaq	_ZL26__cudaUnregisterBinaryUtilv(%rip), %rdi
	popq	%rdx
	.cfi_def_cfa_offset 8
	jmp	atexit@PLT
	.cfi_endproc
.LFE2043:
	.size	_ZL24__sti____cudaRegisterAllv, .-_ZL24__sti____cudaRegisterAllv
	.section	.init_array,"aw"
	.align 8
	.quad	_ZL24__sti____cudaRegisterAllv
	.section	.nvFatBinSegment,"aw"
	.align 8
	.type	_ZL15__fatDeviceText, @object
	.size	_ZL15__fatDeviceText, 24
_ZL15__fatDeviceText:
	.long	1180844977
	.long	1
	.quad	fatbinData
	.quad	0
	.local	_ZL20__cudaFatCubinHandle
	.comm	_ZL20__cudaFatCubinHandle,8,8
	.ident	"GCC: (Ubuntu 13.3.0-6ubuntu2~24.04) 13.3.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:


#include <hip/hip_runtime.h>
/// basic functions
// two sum
__device__ void two_sum(float a, float b, float &hi, float &lo){
  hi = a + b;  // best guess
  float v = hi - a;
  lo = (a - (hi - v)) + (b - v);
}

__device__ void two_sum(float a, float b, float c, float &hi, float &lo){
  float s,t,u;
  two_sum(b,c,s,t);
  two_sum(a,s,hi,u);
  lo = u + t;
  two_sum(hi,lo,hi,lo);
}

__device__ void two_sum(float a, float b, float c, float d, float &hi, float &lo){
  float t0,t1,t2,t3;
  two_sum(a,b,t0,t1);
  two_sum(t0,c,t0,t2);
  two_sum(t0,d,hi,t3);
  t0 = t1 + t2;
  lo = t0 + t3;
}
/*
* Unchecked requirement
* |a| > |b|
*/
__device__ void quick_two_sum(float a, float b, float &hi, float &lo){
  hi = a + b;  // floating point guess
  lo = b - (hi - a); // error calculation
}
/*
* Unchecked requirement
* |a| > |b| > |c|
*/
__device__ void quick_two_sum(float a, float b,float c, float &hi, float &lo){
  float s,t,u;
  quick_two_sum(b,c,s,t);
  quick_two_sum(a,s,hi,u);
  lo = u + t;;
  quick_two_sum(hi,lo,hi,lo);
}
/*
* Unchecked requirement
* |a| > |b| > |c| > |d|
*/
__device__ void quick_two_sum(float a, float b, float c, float d, float &hi, float &lo){
  float t0,t1,t2,t3;
  quick_two_sum(a,b,t0,t1);
  quick_two_sum(t0,c,t0,t2);
  quick_two_sum(t0,d,hi,t3);
  t0 = t1 + t2;
  lo = t0 + t3;
}


__device__ void quick_two_diff(float a, float b, float &hi, float &lo) {
  hi = a - b;
  lo = (a - hi) - b;
}



__device__ void two_diff(float a, float b, float &hi, float &lo) {
  hi = a - b;
  float v = hi - a;
  lo = (a - (hi - v)) - (b + v);

  /*hi = a - b; 
  float a1 = hi + b;
  float b1 = hi - a1;
  lo = (a - a1) - (b + b1);*/
}
__device__ void two_diff(float a, float b, float c, float &hi, float &lo){
  float s,t,u;
  two_diff(-b,c,s,t);
  two_sum(a,s,hi,u);
  lo = u + t;;
  two_sum(hi,lo,hi,lo);
}

__device__ void two_prod(float a, float b, float &hi, float &lo){
  hi = a * b;
  lo = fmaf(a, b, -hi);
}
	.text
	.file	"error_functions.hip"
	.type	__hip_cuid_,@object             # @__hip_cuid_
	.bss
	.globl	__hip_cuid_
__hip_cuid_:
	.byte	0                               # 0x0
	.size	__hip_cuid_, 1

	.ident	"AMD clang version 18.0.0git (https://github.com/RadeonOpenCompute/llvm-project roc-6.3.2 25012 e5bf7e55c91490b07c49d8960fa7983d864936c4)"
	.section	".note.GNU-stack","",@progbits
	.addrsig
	.addrsig_sym __hip_cuid_

	.text
	.p2alignl 7, 3214868480
	.fill 96, 4, 3214868480
	.type	__hip_cuid_,@object             ; @__hip_cuid_
	.section	.bss,"aw",@nobits
	.globl	__hip_cuid_
__hip_cuid_:
	.byte	0                               ; 0x0
	.size	__hip_cuid_, 1

	.ident	"AMD clang version 18.0.0git (https://github.com/RadeonOpenCompute/llvm-project roc-6.3.2 25012 e5bf7e55c91490b07c49d8960fa7983d864936c4)"
	.section	".note.GNU-stack","",@progbits
	.addrsig
	.addrsig_sym __hip_cuid_
	.amdgcn_target "amdgcn-amd-amdhsa--gfx1100"
	.amdgpu_metadata
---
amdhsa.kernels:  []
amdhsa.target:   amdgcn-amd-amdhsa--gfx1100
amdhsa.version:
  - 1
  - 2
...

	.end_amdgpu_metadata
