	.file	"168892504.c"
	.intel_syntax noprefix
	.text
	.globl	QR_Hessenberg_Matrix
	.type	QR_Hessenberg_Matrix, @function
QR_Hessenberg_Matrix:
.LFB0:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	sub	rsp, 96
	mov	QWORD PTR -56[rbp], rdi
	mov	QWORD PTR -64[rbp], rsi
	mov	QWORD PTR -72[rbp], rdx
	mov	QWORD PTR -80[rbp], rcx
	mov	DWORD PTR -84[rbp], r8d
	mov	DWORD PTR -88[rbp], r9d
	mov	rax, QWORD PTR fs:40
	mov	QWORD PTR -8[rbp], rax
	xor	eax, eax
	pxor	xmm0, xmm0
	movsd	QWORD PTR -24[rbp], xmm0
	mov	eax, DWORD PTR -84[rbp]
	sub	eax, 1
	mov	DWORD PTR -36[rbp], eax
	jmp	.L2
.L18:
	mov	DWORD PTR -28[rbp], 0
	mov	DWORD PTR -32[rbp], 1
	jmp	.L3
.L15:
	mov	eax, DWORD PTR -36[rbp]
	mov	DWORD PTR -40[rbp], eax
	mov	eax, DWORD PTR -36[rbp]
	imul	eax, DWORD PTR -84[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -56[rbp]
	add	rax, rdx
	mov	QWORD PTR -16[rbp], rax
	jmp	.L4
.L8:
	mov	eax, DWORD PTR -40[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm0
	mov	eax, DWORD PTR -40[rbp]
	cdqe
	mov	edx, DWORD PTR -84[rbp]
	movsx	rdx, edx
	sub	rax, rdx
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm2, xmm0
	mov	eax, DWORD PTR -40[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm3, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm3
	addsd	xmm2, xmm0
	movsd	xmm0, QWORD PTR .LC2[rip]
	mulsd	xmm0, xmm2
	comisd	xmm0, xmm1
	jnb	.L22
	sub	DWORD PTR -40[rbp], 1
	mov	eax, DWORD PTR -84[rbp]
	cdqe
	sal	rax, 3
	neg	rax
	add	QWORD PTR -16[rbp], rax
.L4:
	cmp	DWORD PTR -40[rbp], 0
	jg	.L8
	jmp	.L7
.L22:
	nop
.L7:
	mov	eax, DWORD PTR -36[rbp]
	sub	eax, DWORD PTR -40[rbp]
	test	eax, eax
	je	.L9
	cmp	eax, 1
	je	.L10
	jmp	.L21
.L9:
	mov	rdi, QWORD PTR -24[rbp]
	mov	ecx, DWORD PTR -40[rbp]
	mov	rdx, QWORD PTR -80[rbp]
	mov	rsi, QWORD PTR -72[rbp]
	mov	rax, QWORD PTR -16[rbp]
	movq	xmm0, rdi
	mov	rdi, rax
	call	One_Real_Eigenvalue
	mov	DWORD PTR -28[rbp], 1
	jmp	.L12
.L10:
	sub	DWORD PTR -36[rbp], 1
	mov	rdi, QWORD PTR -24[rbp]
	mov	r9d, DWORD PTR -36[rbp]
	mov	r8d, DWORD PTR -84[rbp]
	mov	rcx, QWORD PTR -80[rbp]
	mov	rdx, QWORD PTR -72[rbp]
	mov	rsi, QWORD PTR -64[rbp]
	mov	rax, QWORD PTR -56[rbp]
	movq	xmm0, rdi
	mov	rdi, rax
	call	Two_Eigenvalues
	mov	DWORD PTR -28[rbp], 1
	jmp	.L12
.L21:
	lea	r9, -24[rbp]
	mov	r8d, DWORD PTR -84[rbp]
	mov	ecx, DWORD PTR -36[rbp]
	mov	edx, DWORD PTR -40[rbp]
	mov	rsi, QWORD PTR -64[rbp]
	mov	rax, QWORD PTR -56[rbp]
	sub	rsp, 8
	mov	edi, DWORD PTR -32[rbp]
	push	rdi
	mov	rdi, rax
	call	Double_QR_Iteration
	add	rsp, 16
.L12:
	cmp	DWORD PTR -28[rbp], 0
	jne	.L23
	add	DWORD PTR -32[rbp], 1
.L3:
	mov	eax, DWORD PTR -32[rbp]
	cmp	eax, DWORD PTR -88[rbp]
	jle	.L15
	jmp	.L14
.L23:
	nop
.L14:
	mov	eax, DWORD PTR -32[rbp]
	cmp	eax, DWORD PTR -88[rbp]
	jle	.L16
	mov	eax, -1
	jmp	.L19
.L16:
	sub	DWORD PTR -36[rbp], 1
.L2:
	cmp	DWORD PTR -36[rbp], 0
	jns	.L18
	mov	ecx, DWORD PTR -84[rbp]
	mov	rdx, QWORD PTR -80[rbp]
	mov	rsi, QWORD PTR -72[rbp]
	mov	rax, QWORD PTR -56[rbp]
	mov	rdi, rax
	call	BackSubstitution
	mov	edi, DWORD PTR -84[rbp]
	mov	rcx, QWORD PTR -80[rbp]
	mov	rdx, QWORD PTR -72[rbp]
	mov	rsi, QWORD PTR -64[rbp]
	mov	rax, QWORD PTR -56[rbp]
	mov	r8d, edi
	mov	rdi, rax
	call	Calculate_Eigenvectors
	mov	eax, 0
.L19:
	mov	rdi, QWORD PTR -8[rbp]
	sub	rdi, QWORD PTR fs:40
	je	.L20
	call	__stack_chk_fail@PLT
.L20:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	QR_Hessenberg_Matrix, .-QR_Hessenberg_Matrix
	.type	One_Real_Eigenvalue, @function
One_Real_Eigenvalue:
.LFB1:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	mov	QWORD PTR -8[rbp], rdi
	mov	QWORD PTR -16[rbp], rsi
	mov	QWORD PTR -24[rbp], rdx
	mov	DWORD PTR -28[rbp], ecx
	movsd	QWORD PTR -40[rbp], xmm0
	mov	eax, DWORD PTR -28[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -28[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	addsd	xmm0, QWORD PTR -40[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -28[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rdx, rax
	mov	eax, DWORD PTR -28[rbp]
	cdqe
	lea	rcx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rcx
	movsd	xmm0, QWORD PTR [rdx]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -28[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	pxor	xmm0, xmm0
	movsd	QWORD PTR [rax], xmm0
	nop
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	One_Real_Eigenvalue, .-One_Real_Eigenvalue
	.type	Two_Eigenvalues, @function
Two_Eigenvalues:
.LFB2:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	push	rbx
	sub	rsp, 136
	.cfi_offset 3, -24
	mov	QWORD PTR -104[rbp], rdi
	mov	QWORD PTR -112[rbp], rsi
	mov	QWORD PTR -120[rbp], rdx
	mov	QWORD PTR -128[rbp], rcx
	mov	DWORD PTR -132[rbp], r8d
	mov	DWORD PTR -136[rbp], r9d
	movsd	QWORD PTR -144[rbp], xmm0
	mov	eax, DWORD PTR -132[rbp]
	imul	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -104[rbp]
	add	rax, rdx
	mov	QWORD PTR -80[rbp], rax
	mov	eax, DWORD PTR -132[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -80[rbp]
	add	rax, rdx
	mov	QWORD PTR -72[rbp], rax
	mov	eax, DWORD PTR -136[rbp]
	add	eax, 1
	mov	DWORD PTR -92[rbp], eax
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -80[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	movapd	xmm1, xmm0
	subsd	xmm1, xmm2
	movsd	xmm0, QWORD PTR .LC3[rip]
	mulsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -80[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm1
	movsd	QWORD PTR -56[rbp], xmm0
	movsd	xmm0, QWORD PTR -64[rbp]
	mulsd	xmm0, xmm0
	movsd	xmm1, QWORD PTR -56[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -48[rbp], xmm0
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -80[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -80[rbp]
	add	rax, rdx
	addsd	xmm0, QWORD PTR -144[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	addsd	xmm0, QWORD PTR -144[rbp]
	movsd	QWORD PTR [rax], xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	pxor	xmm1, xmm1
	comisd	xmm0, xmm1
	jbe	.L34
	mov	rax, QWORD PTR -48[rbp]
	movq	xmm0, rax
	call	sqrt@PLT
	movq	rax, xmm0
	mov	QWORD PTR -88[rbp], rax
	pxor	xmm0, xmm0
	comisd	xmm0, QWORD PTR -64[rbp]
	jbe	.L35
	movsd	xmm0, QWORD PTR -64[rbp]
	subsd	xmm0, QWORD PTR -88[rbp]
	movsd	QWORD PTR -88[rbp], xmm0
	jmp	.L30
.L35:
	movsd	xmm0, QWORD PTR -88[rbp]
	addsd	xmm0, QWORD PTR -64[rbp]
	movsd	QWORD PTR -88[rbp], xmm0
.L30:
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -120[rbp]
	add	rax, rdx
	addsd	xmm0, QWORD PTR -88[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	xmm1, QWORD PTR -56[rbp]
	divsd	xmm1, QWORD PTR -88[rbp]
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -120[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -128[rbp]
	add	rax, rdx
	pxor	xmm0, xmm0
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -128[rbp]
	add	rax, rdx
	pxor	xmm0, xmm0
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -88[rbp]
	mulsd	xmm0, xmm0
	addsd	xmm1, xmm0
	movq	rax, xmm1
	movq	xmm0, rax
	call	sqrt@PLT
	movq	rax, xmm0
	mov	QWORD PTR -40[rbp], rax
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	divsd	xmm0, QWORD PTR -40[rbp]
	movsd	QWORD PTR -32[rbp], xmm0
	movsd	xmm0, QWORD PTR -88[rbp]
	divsd	xmm0, QWORD PTR -40[rbp]
	movsd	QWORD PTR -24[rbp], xmm0
	mov	edx, DWORD PTR -136[rbp]
	mov	esi, DWORD PTR -132[rbp]
	movsd	xmm0, QWORD PTR -32[rbp]
	mov	rcx, QWORD PTR -24[rbp]
	mov	rax, QWORD PTR -80[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rcx
	mov	rdi, rax
	call	Update_Row
	mov	edx, DWORD PTR -136[rbp]
	mov	esi, DWORD PTR -132[rbp]
	movsd	xmm0, QWORD PTR -32[rbp]
	mov	rcx, QWORD PTR -24[rbp]
	mov	rax, QWORD PTR -104[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rcx
	mov	rdi, rax
	call	Update_Column
	mov	edx, DWORD PTR -136[rbp]
	mov	esi, DWORD PTR -132[rbp]
	movsd	xmm0, QWORD PTR -32[rbp]
	mov	rcx, QWORD PTR -24[rbp]
	mov	rax, QWORD PTR -112[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rcx
	mov	rdi, rax
	call	Update_Transformation
	jmp	.L36
.L34:
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -72[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -120[rbp]
	add	rax, rdx
	addsd	xmm0, QWORD PTR -64[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	edx, DWORD PTR -92[rbp]
	movsx	rdx, edx
	lea	rcx, 0[0+rdx*8]
	mov	rdx, QWORD PTR -120[rbp]
	add	rdx, rcx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR [rdx], xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm1
	movq	rax, xmm0
	mov	edx, DWORD PTR -136[rbp]
	movsx	rdx, edx
	lea	rcx, 0[0+rdx*8]
	mov	rdx, QWORD PTR -128[rbp]
	lea	rbx, [rcx+rdx]
	movq	xmm0, rax
	call	sqrt@PLT
	movq	rax, xmm0
	mov	QWORD PTR [rbx], rax
	mov	eax, DWORD PTR -136[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -128[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -128[rbp]
	add	rax, rdx
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
.L36:
	nop
	mov	rbx, QWORD PTR -8[rbp]
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE2:
	.size	Two_Eigenvalues, .-Two_Eigenvalues
	.type	Update_Row, @function
Update_Row:
.LFB3:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	mov	QWORD PTR -40[rbp], rdi
	movsd	QWORD PTR -48[rbp], xmm0
	movsd	QWORD PTR -56[rbp], xmm1
	mov	DWORD PTR -60[rbp], esi
	mov	DWORD PTR -64[rbp], edx
	mov	eax, DWORD PTR -60[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	mov	QWORD PTR -16[rbp], rax
	mov	eax, DWORD PTR -64[rbp]
	mov	DWORD PTR -20[rbp], eax
	jmp	.L38
.L39:
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -8[rbp], xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	movapd	xmm1, xmm0
	mulsd	xmm1, QWORD PTR -8[rbp]
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -56[rbp]
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	addsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -48[rbp]
	movsd	xmm1, QWORD PTR -56[rbp]
	mulsd	xmm1, QWORD PTR -8[rbp]
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	add	DWORD PTR -20[rbp], 1
.L38:
	mov	eax, DWORD PTR -20[rbp]
	cmp	eax, DWORD PTR -60[rbp]
	jl	.L39
	nop
	nop
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE3:
	.size	Update_Row, .-Update_Row
	.type	Update_Column, @function
Update_Column:
.LFB4:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	mov	QWORD PTR -24[rbp], rdi
	movsd	QWORD PTR -32[rbp], xmm0
	movsd	QWORD PTR -40[rbp], xmm1
	mov	DWORD PTR -44[rbp], esi
	mov	DWORD PTR -48[rbp], edx
	mov	eax, DWORD PTR -48[rbp]
	add	eax, 1
	mov	DWORD PTR -12[rbp], eax
	mov	DWORD PTR -16[rbp], 0
	jmp	.L41
.L42:
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -8[rbp], xmm0
	movsd	xmm0, QWORD PTR -32[rbp]
	movapd	xmm1, xmm0
	mulsd	xmm1, QWORD PTR -8[rbp]
	mov	eax, DWORD PTR -12[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -40[rbp]
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	addsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -12[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -32[rbp]
	movsd	xmm1, QWORD PTR -40[rbp]
	mulsd	xmm1, QWORD PTR -8[rbp]
	mov	eax, DWORD PTR -12[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	add	DWORD PTR -16[rbp], 1
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -24[rbp], rax
.L41:
	mov	eax, DWORD PTR -16[rbp]
	cmp	eax, DWORD PTR -12[rbp]
	jle	.L42
	nop
	nop
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE4:
	.size	Update_Column, .-Update_Column
	.type	Update_Transformation, @function
Update_Transformation:
.LFB5:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	mov	QWORD PTR -24[rbp], rdi
	movsd	QWORD PTR -32[rbp], xmm0
	movsd	QWORD PTR -40[rbp], xmm1
	mov	DWORD PTR -44[rbp], esi
	mov	DWORD PTR -48[rbp], edx
	mov	eax, DWORD PTR -48[rbp]
	add	eax, 1
	mov	DWORD PTR -12[rbp], eax
	mov	DWORD PTR -16[rbp], 0
	jmp	.L44
.L45:
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -8[rbp], xmm0
	movsd	xmm0, QWORD PTR -32[rbp]
	movapd	xmm1, xmm0
	mulsd	xmm1, QWORD PTR -8[rbp]
	mov	eax, DWORD PTR -12[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -40[rbp]
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	addsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -12[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -32[rbp]
	movsd	xmm1, QWORD PTR -40[rbp]
	mulsd	xmm1, QWORD PTR -8[rbp]
	mov	eax, DWORD PTR -12[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	add	DWORD PTR -16[rbp], 1
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -24[rbp], rax
.L44:
	mov	eax, DWORD PTR -16[rbp]
	cmp	eax, DWORD PTR -44[rbp]
	jl	.L45
	nop
	nop
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE5:
	.size	Update_Transformation, .-Update_Transformation
	.type	Double_QR_Iteration, @function
Double_QR_Iteration:
.LFB6:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	sub	rsp, 80
	mov	QWORD PTR -40[rbp], rdi
	mov	QWORD PTR -48[rbp], rsi
	mov	DWORD PTR -52[rbp], edx
	mov	DWORD PTR -56[rbp], ecx
	mov	DWORD PTR -60[rbp], r8d
	mov	QWORD PTR -72[rbp], r9
	mov	rax, QWORD PTR fs:40
	mov	QWORD PTR -8[rbp], rax
	xor	eax, eax
	lea	r9, -16[rbp]
	lea	r8, -24[rbp]
	mov	rcx, QWORD PTR -72[rbp]
	mov	edx, DWORD PTR -56[rbp]
	mov	esi, DWORD PTR -60[rbp]
	mov	rax, QWORD PTR -40[rbp]
	sub	rsp, 8
	mov	edi, DWORD PTR 16[rbp]
	push	rdi
	mov	rdi, rax
	call	Product_and_Sum_of_Shifts
	add	rsp, 16
	movsd	xmm0, QWORD PTR -16[rbp]
	mov	rdi, QWORD PTR -24[rbp]
	mov	ecx, DWORD PTR -60[rbp]
	mov	edx, DWORD PTR -56[rbp]
	mov	esi, DWORD PTR -52[rbp]
	mov	rax, QWORD PTR -40[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rdi
	mov	rdi, rax
	call	Two_Consecutive_Small_Subdiagonal
	mov	DWORD PTR -28[rbp], eax
	movsd	xmm0, QWORD PTR -16[rbp]
	mov	rdi, QWORD PTR -24[rbp]
	mov	r9d, DWORD PTR -60[rbp]
	mov	r8, QWORD PTR -48[rbp]
	mov	ecx, DWORD PTR -28[rbp]
	mov	edx, DWORD PTR -56[rbp]
	mov	esi, DWORD PTR -52[rbp]
	mov	rax, QWORD PTR -40[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rdi
	mov	rdi, rax
	call	Double_QR_Step
	nop
	mov	rax, QWORD PTR -8[rbp]
	sub	rax, QWORD PTR fs:40
	je	.L47
	call	__stack_chk_fail@PLT
.L47:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	Double_QR_Iteration, .-Double_QR_Iteration
	.type	Product_and_Sum_of_Shifts, @function
Product_and_Sum_of_Shifts:
.LFB7:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	mov	QWORD PTR -40[rbp], rdi
	mov	DWORD PTR -44[rbp], esi
	mov	DWORD PTR -48[rbp], edx
	mov	QWORD PTR -56[rbp], rcx
	mov	QWORD PTR -64[rbp], r8
	mov	QWORD PTR -72[rbp], r9
	mov	eax, DWORD PTR -48[rbp]
	imul	eax, DWORD PTR -44[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	mov	QWORD PTR -8[rbp], rax
	mov	eax, DWORD PTR -48[rbp]
	sub	eax, 1
	mov	DWORD PTR -20[rbp], eax
	mov	ecx, DWORD PTR 16[rbp]
	movsx	rax, ecx
	imul	rax, rax, 1717986919
	shr	rax, 32
	sar	eax, 2
	mov	esi, ecx
	sar	esi, 31
	sub	eax, esi
	mov	edx, eax
	mov	eax, edx
	sal	eax, 2
	add	eax, edx
	add	eax, eax
	sub	ecx, eax
	mov	edx, ecx
	test	edx, edx
	jne	.L49
	mov	rax, QWORD PTR -56[rbp]
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	addsd	xmm0, xmm1
	mov	rax, QWORD PTR -56[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	DWORD PTR -24[rbp], 0
	mov	rax, QWORD PTR -40[rbp]
	mov	QWORD PTR -16[rbp], rax
	jmp	.L50
.L51:
	mov	eax, DWORD PTR -24[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -24[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -16[rbp], rax
	add	DWORD PTR -24[rbp], 1
.L50:
	mov	eax, DWORD PTR -24[rbp]
	cmp	eax, DWORD PTR -48[rbp]
	jle	.L51
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	sal	rax, 3
	neg	rax
	mov	rdx, rax
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	mov	QWORD PTR -16[rbp], rax
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm0
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm0, xmm1
	mov	rax, QWORD PTR -64[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	rax, QWORD PTR -64[rbp]
	movsd	xmm1, QWORD PTR [rax]
	mov	rax, QWORD PTR -64[rbp]
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm1
	mov	rax, QWORD PTR -72[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	rax, QWORD PTR -64[rbp]
	movsd	xmm1, QWORD PTR [rax]
	movsd	xmm0, QWORD PTR .LC5[rip]
	mulsd	xmm0, xmm1
	mov	rax, QWORD PTR -64[rbp]
	movsd	QWORD PTR [rax], xmm0
	jmp	.L53
.L49:
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	sal	rax, 3
	neg	rax
	mov	rdx, rax
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	mov	QWORD PTR -16[rbp], rax
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	addsd	xmm0, xmm1
	mov	rax, QWORD PTR -64[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm1
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -16[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	mov	rax, QWORD PTR -72[rbp]
	movsd	QWORD PTR [rax], xmm0
.L53:
	nop
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	Product_and_Sum_of_Shifts, .-Product_and_Sum_of_Shifts
	.type	Two_Consecutive_Small_Subdiagonal, @function
Two_Consecutive_Small_Subdiagonal:
.LFB8:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	mov	QWORD PTR -56[rbp], rdi
	mov	DWORD PTR -60[rbp], esi
	mov	DWORD PTR -64[rbp], edx
	mov	DWORD PTR -68[rbp], ecx
	movsd	QWORD PTR -80[rbp], xmm0
	movsd	QWORD PTR -88[rbp], xmm1
	mov	eax, DWORD PTR -64[rbp]
	sub	eax, 2
	mov	DWORD PTR -44[rbp], eax
	mov	eax, DWORD PTR -44[rbp]
	imul	eax, DWORD PTR -68[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -56[rbp]
	add	rax, rdx
	mov	QWORD PTR -40[rbp], rax
	jmp	.L55
.L60:
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	subsd	xmm0, QWORD PTR -80[rbp]
	mulsd	xmm0, xmm1
	addsd	xmm0, QWORD PTR -88[rbp]
	mov	edx, DWORD PTR -68[rbp]
	mov	eax, DWORD PTR -44[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	movapd	xmm1, xmm0
	divsd	xmm1, xmm2
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -32[rbp], xmm0
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	edx, DWORD PTR -68[rbp]
	mov	eax, DWORD PTR -44[rbp]
	add	eax, edx
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	addsd	xmm0, xmm1
	subsd	xmm0, QWORD PTR -80[rbp]
	movsd	QWORD PTR -24[rbp], xmm0
	mov	eax, DWORD PTR -68[rbp]
	lea	edx, [rax+rax]
	mov	eax, DWORD PTR -44[rbp]
	add	eax, edx
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -16[rbp], xmm0
	movsd	xmm0, QWORD PTR -32[rbp]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -24[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -16[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm0, xmm1
	movsd	QWORD PTR -8[rbp], xmm0
	movsd	xmm0, QWORD PTR -32[rbp]
	divsd	xmm0, QWORD PTR -8[rbp]
	movsd	QWORD PTR -32[rbp], xmm0
	movsd	xmm0, QWORD PTR -24[rbp]
	divsd	xmm0, QWORD PTR -8[rbp]
	movsd	QWORD PTR -24[rbp], xmm0
	movsd	xmm0, QWORD PTR -16[rbp]
	divsd	xmm0, QWORD PTR -8[rbp]
	movsd	QWORD PTR -16[rbp], xmm0
	mov	eax, DWORD PTR -44[rbp]
	cmp	eax, DWORD PTR -60[rbp]
	je	.L66
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -24[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm2, xmm0
	movsd	xmm0, QWORD PTR -16[rbp]
	movq	xmm3, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm3
	addsd	xmm0, xmm2
	mulsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -32[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm2, xmm0
	movsd	xmm0, QWORD PTR .LC2[rip]
	mulsd	xmm2, xmm0
	mov	eax, DWORD PTR -44[rbp]
	sub	eax, 1
	sub	eax, DWORD PTR -68[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm3, QWORD PTR .LC1[rip]
	andpd	xmm3, xmm0
	mov	eax, DWORD PTR -44[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm4, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm4
	addsd	xmm3, xmm0
	mov	edx, DWORD PTR -68[rbp]
	mov	eax, DWORD PTR -44[rbp]
	add	eax, edx
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm4, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm4
	addsd	xmm0, xmm3
	mulsd	xmm0, xmm2
	comisd	xmm0, xmm1
	jnb	.L67
	mov	eax, DWORD PTR -68[rbp]
	cdqe
	sal	rax, 3
	neg	rax
	add	QWORD PTR -40[rbp], rax
	sub	DWORD PTR -44[rbp], 1
.L55:
	mov	eax, DWORD PTR -44[rbp]
	cmp	eax, DWORD PTR -60[rbp]
	jge	.L60
	jmp	.L57
.L66:
	nop
	jmp	.L57
.L67:
	nop
.L57:
	mov	eax, DWORD PTR -44[rbp]
	add	eax, 2
	mov	DWORD PTR -48[rbp], eax
	mov	eax, DWORD PTR -48[rbp]
	imul	eax, DWORD PTR -68[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -56[rbp]
	add	rax, rdx
	mov	QWORD PTR -40[rbp], rax
	jmp	.L61
.L62:
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -16[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	pxor	xmm0, xmm0
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -68[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -40[rbp], rax
	add	DWORD PTR -48[rbp], 1
.L61:
	mov	eax, DWORD PTR -48[rbp]
	cmp	eax, DWORD PTR -64[rbp]
	jle	.L62
	mov	eax, DWORD PTR -44[rbp]
	add	eax, 3
	mov	DWORD PTR -48[rbp], eax
	mov	eax, DWORD PTR -48[rbp]
	imul	eax, DWORD PTR -68[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -56[rbp]
	add	rax, rdx
	mov	QWORD PTR -40[rbp], rax
	jmp	.L63
.L64:
	mov	eax, DWORD PTR -48[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -24[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	pxor	xmm0, xmm0
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -68[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -40[rbp], rax
	add	DWORD PTR -48[rbp], 1
.L63:
	mov	eax, DWORD PTR -48[rbp]
	cmp	eax, DWORD PTR -64[rbp]
	jle	.L64
	mov	eax, DWORD PTR -44[rbp]
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	Two_Consecutive_Small_Subdiagonal, .-Two_Consecutive_Small_Subdiagonal
	.type	Double_QR_Step, @function
Double_QR_Step:
.LFB9:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	sub	rsp, 144
	mov	QWORD PTR -104[rbp], rdi
	mov	DWORD PTR -108[rbp], esi
	mov	DWORD PTR -112[rbp], edx
	mov	DWORD PTR -116[rbp], ecx
	movsd	QWORD PTR -128[rbp], xmm0
	movsd	QWORD PTR -136[rbp], xmm1
	mov	QWORD PTR -144[rbp], r8
	mov	DWORD PTR -120[rbp], r9d
	mov	eax, DWORD PTR -112[rbp]
	sub	eax, 1
	mov	DWORD PTR -84[rbp], eax
	mov	eax, DWORD PTR -116[rbp]
	mov	DWORD PTR -88[rbp], eax
	mov	eax, DWORD PTR -116[rbp]
	imul	eax, DWORD PTR -120[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -104[rbp]
	add	rax, rdx
	mov	QWORD PTR -40[rbp], rax
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	subsd	xmm0, QWORD PTR -128[rbp]
	mulsd	xmm0, xmm1
	addsd	xmm0, QWORD PTR -136[rbp]
	mov	edx, DWORD PTR -120[rbp]
	mov	eax, DWORD PTR -88[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	movapd	xmm1, xmm0
	divsd	xmm1, xmm2
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	edx, DWORD PTR -120[rbp]
	mov	eax, DWORD PTR -88[rbp]
	add	eax, edx
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	addsd	xmm0, xmm1
	subsd	xmm0, QWORD PTR -128[rbp]
	movsd	QWORD PTR -56[rbp], xmm0
	mov	eax, DWORD PTR -120[rbp]
	lea	edx, [rax+rax]
	mov	eax, DWORD PTR -88[rbp]
	add	eax, edx
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -48[rbp], xmm0
	movsd	xmm0, QWORD PTR -64[rbp]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -56[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm0, xmm1
	movsd	QWORD PTR -80[rbp], xmm0
	movsd	xmm0, QWORD PTR -64[rbp]
	divsd	xmm0, QWORD PTR -80[rbp]
	movsd	QWORD PTR -64[rbp], xmm0
	movsd	xmm0, QWORD PTR -56[rbp]
	divsd	xmm0, QWORD PTR -80[rbp]
	movsd	QWORD PTR -56[rbp], xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	divsd	xmm0, QWORD PTR -80[rbp]
	movsd	QWORD PTR -48[rbp], xmm0
	jmp	.L69
.L90:
	mov	eax, DWORD PTR -88[rbp]
	cmp	eax, DWORD PTR -116[rbp]
	jle	.L70
	mov	eax, DWORD PTR -88[rbp]
	cmp	eax, DWORD PTR -84[rbp]
	je	.L71
	mov	eax, DWORD PTR -120[rbp]
	lea	edx, [rax+rax]
	mov	eax, DWORD PTR -88[rbp]
	add	eax, edx
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	jmp	.L72
.L71:
	pxor	xmm0, xmm0
.L72:
	movsd	QWORD PTR -48[rbp], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm0
	mov	edx, DWORD PTR -120[rbp]
	mov	eax, DWORD PTR -88[rbp]
	add	eax, edx
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm0, xmm1
	movsd	QWORD PTR -72[rbp], xmm0
	pxor	xmm0, xmm0
	ucomisd	xmm0, QWORD PTR -72[rbp]
	jp	.L73
	pxor	xmm0, xmm0
	ucomisd	xmm0, QWORD PTR -72[rbp]
	je	.L92
.L73:
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	divsd	xmm0, QWORD PTR -72[rbp]
	movsd	QWORD PTR -64[rbp], xmm0
	mov	edx, DWORD PTR -120[rbp]
	mov	eax, DWORD PTR -88[rbp]
	add	eax, edx
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	divsd	xmm0, QWORD PTR -72[rbp]
	movsd	QWORD PTR -56[rbp], xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	divsd	xmm0, QWORD PTR -72[rbp]
	movsd	QWORD PTR -48[rbp], xmm0
.L70:
	movsd	xmm0, QWORD PTR -64[rbp]
	movapd	xmm1, xmm0
	mulsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -56[rbp]
	mulsd	xmm0, xmm0
	addsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	mulsd	xmm0, xmm0
	addsd	xmm1, xmm0
	movq	rax, xmm1
	movq	xmm0, rax
	call	sqrt@PLT
	movq	rax, xmm0
	mov	QWORD PTR -80[rbp], rax
	pxor	xmm0, xmm0
	comisd	xmm0, QWORD PTR -64[rbp]
	jbe	.L76
	movsd	xmm0, QWORD PTR -80[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	QWORD PTR -80[rbp], xmm0
.L76:
	mov	eax, DWORD PTR -88[rbp]
	cmp	eax, DWORD PTR -116[rbp]
	jle	.L78
	movsd	xmm0, QWORD PTR -80[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	mulsd	xmm0, QWORD PTR -72[rbp]
	movsd	QWORD PTR [rax], xmm0
	jmp	.L79
.L78:
	mov	eax, DWORD PTR -108[rbp]
	cmp	eax, DWORD PTR -116[rbp]
	je	.L79
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
.L79:
	movsd	xmm0, QWORD PTR -64[rbp]
	addsd	xmm0, QWORD PTR -80[rbp]
	movsd	QWORD PTR -64[rbp], xmm0
	movsd	xmm0, QWORD PTR -64[rbp]
	divsd	xmm0, QWORD PTR -80[rbp]
	movsd	QWORD PTR -72[rbp], xmm0
	movsd	xmm0, QWORD PTR -56[rbp]
	divsd	xmm0, QWORD PTR -80[rbp]
	movsd	QWORD PTR -16[rbp], xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	divsd	xmm0, QWORD PTR -80[rbp]
	movsd	QWORD PTR -8[rbp], xmm0
	movsd	xmm0, QWORD PTR -56[rbp]
	divsd	xmm0, QWORD PTR -64[rbp]
	movsd	QWORD PTR -56[rbp], xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	divsd	xmm0, QWORD PTR -64[rbp]
	movsd	QWORD PTR -48[rbp], xmm0
	mov	eax, DWORD PTR -88[rbp]
	mov	DWORD PTR -92[rbp], eax
	jmp	.L80
.L82:
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	edx, DWORD PTR -120[rbp]
	mov	eax, DWORD PTR -92[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -56[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cmp	eax, DWORD PTR -84[rbp]
	je	.L81
	mov	eax, DWORD PTR -120[rbp]
	lea	edx, [rax+rax]
	mov	eax, DWORD PTR -92[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -48[rbp]
	movsd	xmm1, QWORD PTR -64[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -120[rbp]
	lea	edx, [rax+rax]
	mov	eax, DWORD PTR -92[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm1, QWORD PTR -8[rbp]
	mov	eax, DWORD PTR -120[rbp]
	lea	edx, [rax+rax]
	mov	eax, DWORD PTR -92[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
.L81:
	mov	edx, DWORD PTR -120[rbp]
	mov	eax, DWORD PTR -92[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm1, QWORD PTR -16[rbp]
	mov	edx, DWORD PTR -120[rbp]
	mov	eax, DWORD PTR -92[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm1, QWORD PTR -72[rbp]
	mov	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -40[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	add	DWORD PTR -92[rbp], 1
.L80:
	mov	eax, DWORD PTR -92[rbp]
	cmp	eax, DWORD PTR -120[rbp]
	jl	.L82
	mov	eax, DWORD PTR -88[rbp]
	add	eax, 3
	mov	DWORD PTR -92[rbp], eax
	mov	eax, DWORD PTR -92[rbp]
	cmp	eax, DWORD PTR -112[rbp]
	jle	.L83
	mov	eax, DWORD PTR -112[rbp]
	mov	DWORD PTR -92[rbp], eax
.L83:
	mov	DWORD PTR -96[rbp], 0
	mov	rax, QWORD PTR -104[rbp]
	mov	QWORD PTR -32[rbp], rax
	jmp	.L84
.L86:
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movapd	xmm1, xmm0
	mulsd	xmm1, QWORD PTR -72[rbp]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -16[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cmp	eax, DWORD PTR -84[rbp]
	je	.L85
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 2
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -8[rbp]
	movsd	xmm1, QWORD PTR -64[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 2
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm1, QWORD PTR -48[rbp]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 2
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
.L85:
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm1, QWORD PTR -56[rbp]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	subsd	xmm0, QWORD PTR -64[rbp]
	movsd	QWORD PTR [rax], xmm0
	add	DWORD PTR -96[rbp], 1
	mov	eax, DWORD PTR -120[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -32[rbp], rax
.L84:
	mov	eax, DWORD PTR -96[rbp]
	cmp	eax, DWORD PTR -92[rbp]
	jle	.L86
	mov	DWORD PTR -96[rbp], 0
	mov	rax, QWORD PTR -144[rbp]
	mov	QWORD PTR -24[rbp], rax
	jmp	.L87
.L89:
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movapd	xmm1, xmm0
	mulsd	xmm1, QWORD PTR -72[rbp]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -16[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cmp	eax, DWORD PTR -84[rbp]
	je	.L88
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 2
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, QWORD PTR -8[rbp]
	movsd	xmm1, QWORD PTR -64[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 2
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm1, QWORD PTR -48[rbp]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 2
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
.L88:
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm1, QWORD PTR -56[rbp]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -88[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	subsd	xmm0, QWORD PTR -64[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -120[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -24[rbp], rax
	add	DWORD PTR -96[rbp], 1
.L87:
	mov	eax, DWORD PTR -96[rbp]
	cmp	eax, DWORD PTR -120[rbp]
	jl	.L89
	jmp	.L75
.L92:
	nop
.L75:
	add	DWORD PTR -88[rbp], 1
	mov	eax, DWORD PTR -120[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -40[rbp], rax
.L69:
	mov	eax, DWORD PTR -88[rbp]
	cmp	eax, DWORD PTR -84[rbp]
	jle	.L90
	nop
	nop
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.size	Double_QR_Step, .-Double_QR_Step
	.type	BackSubstitution, @function
BackSubstitution:
.LFB10:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	sub	rsp, 64
	mov	QWORD PTR -40[rbp], rdi
	mov	QWORD PTR -48[rbp], rsi
	mov	QWORD PTR -56[rbp], rdx
	mov	DWORD PTR -60[rbp], ecx
	mov	rax, QWORD PTR -40[rbp]
	mov	QWORD PTR -8[rbp], rax
	mov	rax, QWORD PTR -8[rbp]
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm1
	movsd	QWORD PTR -16[rbp], xmm0
	mov	eax, DWORD PTR -60[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -8[rbp], rax
	mov	DWORD PTR -28[rbp], 1
	jmp	.L94
.L97:
	mov	eax, DWORD PTR -28[rbp]
	sub	eax, 1
	mov	DWORD PTR -24[rbp], eax
	jmp	.L95
.L96:
	mov	eax, DWORD PTR -24[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -8[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -16[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -16[rbp], xmm0
	add	DWORD PTR -24[rbp], 1
.L95:
	mov	eax, DWORD PTR -24[rbp]
	cmp	eax, DWORD PTR -60[rbp]
	jl	.L96
	mov	eax, DWORD PTR -60[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -8[rbp], rax
	add	DWORD PTR -28[rbp], 1
.L94:
	mov	eax, DWORD PTR -28[rbp]
	cmp	eax, DWORD PTR -60[rbp]
	jl	.L97
	movsd	xmm1, QWORD PTR -16[rbp]
	movsd	xmm0, QWORD PTR .LC2[rip]
	mulsd	xmm0, xmm1
	movsd	QWORD PTR -16[rbp], xmm0
	mov	eax, DWORD PTR -60[rbp]
	sub	eax, 1
	mov	DWORD PTR -20[rbp], eax
	jmp	.L98
.L103:
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -56[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jp	.L99
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jne	.L99
	mov	r8d, DWORD PTR -60[rbp]
	mov	rdi, QWORD PTR -16[rbp]
	mov	ecx, DWORD PTR -20[rbp]
	mov	rdx, QWORD PTR -56[rbp]
	mov	rsi, QWORD PTR -48[rbp]
	mov	rax, QWORD PTR -40[rbp]
	movq	xmm0, rdi
	mov	rdi, rax
	call	BackSubstitute_Real_Vector
	jmp	.L101
.L99:
	mov	eax, DWORD PTR -20[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -56[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	pxor	xmm0, xmm0
	comisd	xmm0, xmm1
	jbe	.L101
	mov	r8d, DWORD PTR -60[rbp]
	mov	rdi, QWORD PTR -16[rbp]
	mov	ecx, DWORD PTR -20[rbp]
	mov	rdx, QWORD PTR -56[rbp]
	mov	rsi, QWORD PTR -48[rbp]
	mov	rax, QWORD PTR -40[rbp]
	movq	xmm0, rdi
	mov	rdi, rax
	call	BackSubstitute_Complex_Vector
.L101:
	sub	DWORD PTR -20[rbp], 1
.L98:
	cmp	DWORD PTR -20[rbp], 0
	jns	.L103
	nop
	nop
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE10:
	.size	BackSubstitution, .-BackSubstitution
	.type	BackSubstitute_Real_Vector, @function
BackSubstitute_Real_Vector:
.LFB11:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	sub	rsp, 160
	mov	QWORD PTR -120[rbp], rdi
	mov	QWORD PTR -128[rbp], rsi
	mov	QWORD PTR -136[rbp], rdx
	mov	DWORD PTR -140[rbp], ecx
	movsd	QWORD PTR -152[rbp], xmm0
	mov	DWORD PTR -144[rbp], r8d
	mov	rax, QWORD PTR fs:40
	mov	QWORD PTR -8[rbp], rax
	xor	eax, eax
	mov	eax, DWORD PTR -140[rbp]
	mov	DWORD PTR -92[rbp], eax
	mov	eax, DWORD PTR -140[rbp]
	imul	eax, DWORD PTR -144[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -120[rbp]
	add	rax, rdx
	mov	QWORD PTR -88[rbp], rax
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR .LC6[rip]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -140[rbp]
	sub	eax, 1
	mov	DWORD PTR -100[rbp], eax
	mov	eax, DWORD PTR -144[rbp]
	cdqe
	sal	rax, 3
	neg	rax
	add	QWORD PTR -88[rbp], rax
	jmp	.L107
.L119:
	mov	eax, DWORD PTR -100[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -128[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	subsd	xmm0, xmm1
	movsd	QWORD PTR -48[rbp], xmm0
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -64[rbp], xmm0
	mov	eax, DWORD PTR -144[rbp]
	imul	eax, DWORD PTR -92[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -120[rbp]
	add	rax, rdx
	mov	QWORD PTR -80[rbp], rax
	mov	eax, DWORD PTR -92[rbp]
	mov	DWORD PTR -96[rbp], eax
	jmp	.L108
.L109:
	movsd	xmm1, QWORD PTR -64[rbp]
	mov	eax, DWORD PTR -96[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -80[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm2
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	add	DWORD PTR -96[rbp], 1
	mov	eax, DWORD PTR -144[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -80[rbp], rax
.L108:
	mov	eax, DWORD PTR -96[rbp]
	cmp	eax, DWORD PTR -140[rbp]
	jl	.L109
	mov	eax, DWORD PTR -100[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -136[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	pxor	xmm0, xmm0
	comisd	xmm0, xmm1
	jbe	.L125
	movsd	xmm0, QWORD PTR -48[rbp]
	movsd	QWORD PTR -24[rbp], xmm0
	movsd	xmm0, QWORD PTR -64[rbp]
	movsd	QWORD PTR -56[rbp], xmm0
	jmp	.L112
.L125:
	mov	eax, DWORD PTR -100[rbp]
	mov	DWORD PTR -92[rbp], eax
	mov	eax, DWORD PTR -100[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -136[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jp	.L113
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jne	.L113
	movsd	xmm0, QWORD PTR -48[rbp]
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jp	.L123
	pxor	xmm1, xmm1
	comisd	xmm0, xmm1
	je	.L126
.L123:
	movsd	xmm0, QWORD PTR -64[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -48[rbp]
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	divsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	jmp	.L112
.L126:
	movsd	xmm0, QWORD PTR -64[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	divsd	xmm0, QWORD PTR -152[rbp]
	movsd	QWORD PTR [rax], xmm0
	jmp	.L112
.L113:
	mov	eax, DWORD PTR -100[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -40[rbp], xmm0
	mov	edx, DWORD PTR -144[rbp]
	mov	eax, DWORD PTR -100[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -32[rbp], xmm0
	mov	eax, DWORD PTR -100[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -128[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -128[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	subsd	xmm0, xmm1
	movsd	QWORD PTR -72[rbp], xmm0
	movsd	xmm0, QWORD PTR -72[rbp]
	mulsd	xmm0, xmm0
	movsd	QWORD PTR -72[rbp], xmm0
	mov	eax, DWORD PTR -100[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -136[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -100[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -136[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -72[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -72[rbp], xmm0
	movsd	xmm1, QWORD PTR -40[rbp]
	movsd	xmm0, QWORD PTR -56[rbp]
	mulsd	xmm0, xmm1
	movsd	xmm2, QWORD PTR -24[rbp]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	divsd	xmm0, QWORD PTR -72[rbp]
	movsd	QWORD PTR [rax], xmm0
	movsd	xmm0, QWORD PTR -40[rbp]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -24[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm2
	comisd	xmm0, xmm1
	jbe	.L127
	movsd	xmm1, QWORD PTR -64[rbp]
	movsd	xmm2, QWORD PTR -48[rbp]
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm2
	addsd	xmm0, xmm1
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -40[rbp]
	mov	edx, DWORD PTR -144[rbp]
	mov	eax, DWORD PTR -140[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	divsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	jmp	.L112
.L127:
	movsd	xmm1, QWORD PTR -56[rbp]
	movsd	xmm2, QWORD PTR -32[rbp]
	mov	eax, DWORD PTR -140[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm2
	addsd	xmm0, xmm1
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -24[rbp]
	mov	edx, DWORD PTR -144[rbp]
	mov	eax, DWORD PTR -140[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -88[rbp]
	add	rax, rdx
	divsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
.L112:
	sub	DWORD PTR -100[rbp], 1
	mov	eax, DWORD PTR -144[rbp]
	cdqe
	sal	rax, 3
	neg	rax
	add	QWORD PTR -88[rbp], rax
.L107:
	cmp	DWORD PTR -100[rbp], 0
	jns	.L119
	nop
	mov	rax, QWORD PTR -8[rbp]
	sub	rax, QWORD PTR fs:40
	je	.L120
	call	__stack_chk_fail@PLT
.L120:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE11:
	.size	BackSubstitute_Real_Vector, .-BackSubstitute_Real_Vector
	.type	BackSubstitute_Complex_Vector, @function
BackSubstitute_Complex_Vector:
.LFB12:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	sub	rsp, 176
	mov	QWORD PTR -136[rbp], rdi
	mov	QWORD PTR -144[rbp], rsi
	mov	QWORD PTR -152[rbp], rdx
	mov	DWORD PTR -156[rbp], ecx
	movsd	QWORD PTR -168[rbp], xmm0
	mov	DWORD PTR -160[rbp], r8d
	mov	rax, QWORD PTR fs:40
	mov	QWORD PTR -8[rbp], rax
	xor	eax, eax
	mov	eax, DWORD PTR -156[rbp]
	sub	eax, 1
	mov	DWORD PTR -116[rbp], eax
	mov	eax, DWORD PTR -160[rbp]
	imul	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -136[rbp]
	add	rax, rdx
	mov	QWORD PTR -112[rbp], rax
	mov	eax, DWORD PTR -116[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm1
	mov	eax, DWORD PTR -156[rbp]
	sub	eax, DWORD PTR -160[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm2
	comisd	xmm0, xmm1
	jbe	.L153
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -144[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	subsd	xmm0, xmm1
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	mov	eax, DWORD PTR -116[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -116[rbp]
	sub	eax, DWORD PTR -160[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	divsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	mov	eax, DWORD PTR -116[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	sub	eax, DWORD PTR -160[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	divsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	jmp	.L131
.L153:
	mov	eax, DWORD PTR -156[rbp]
	sub	eax, DWORD PTR -160[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	lea	rcx, [rdx+rax]
	mov	eax, DWORD PTR -116[rbp]
	sub	eax, DWORD PTR -160[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rdx, rax
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rsi
	movsd	xmm3, QWORD PTR [rax]
	mov	eax, DWORD PTR -116[rbp]
	sub	eax, DWORD PTR -160[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rsi
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -144[rbp]
	add	rax, rsi
	movsd	xmm1, QWORD PTR [rax]
	movapd	xmm2, xmm0
	subsd	xmm2, xmm1
	mov	eax, DWORD PTR -156[rbp]
	sub	eax, DWORD PTR -160[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rsi
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movq	rax, xmm0
	mov	rsi, rcx
	mov	rdi, rdx
	pxor	xmm1, xmm1
	movq	xmm0, rax
	call	Complex_Division
.L131:
	mov	eax, DWORD PTR -116[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR .LC6[rip]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	pxor	xmm0, xmm0
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -156[rbp]
	sub	eax, 2
	mov	DWORD PTR -124[rbp], eax
	mov	eax, DWORD PTR -160[rbp]
	imul	eax, DWORD PTR -124[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -136[rbp]
	add	rax, rdx
	mov	QWORD PTR -112[rbp], rax
	jmp	.L132
.L145:
	mov	eax, DWORD PTR -124[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -144[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	subsd	xmm0, xmm1
	movsd	QWORD PTR -48[rbp], xmm0
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -64[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -56[rbp], xmm0
	mov	eax, DWORD PTR -116[rbp]
	imul	eax, DWORD PTR -160[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -136[rbp]
	add	rax, rdx
	mov	QWORD PTR -104[rbp], rax
	mov	eax, DWORD PTR -116[rbp]
	mov	DWORD PTR -120[rbp], eax
	jmp	.L133
.L134:
	movsd	xmm1, QWORD PTR -64[rbp]
	mov	eax, DWORD PTR -120[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -104[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm2
	addsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	movsd	xmm1, QWORD PTR -56[rbp]
	mov	eax, DWORD PTR -120[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -104[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm2
	addsd	xmm0, xmm1
	movsd	QWORD PTR -56[rbp], xmm0
	add	DWORD PTR -120[rbp], 1
	mov	eax, DWORD PTR -160[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -104[rbp], rax
.L133:
	mov	eax, DWORD PTR -120[rbp]
	cmp	eax, DWORD PTR -156[rbp]
	jl	.L134
	mov	eax, DWORD PTR -124[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	pxor	xmm0, xmm0
	comisd	xmm0, xmm1
	jbe	.L154
	movsd	xmm0, QWORD PTR -48[rbp]
	movsd	QWORD PTR -24[rbp], xmm0
	movsd	xmm0, QWORD PTR -64[rbp]
	movsd	QWORD PTR -80[rbp], xmm0
	movsd	xmm0, QWORD PTR -56[rbp]
	movsd	QWORD PTR -72[rbp], xmm0
	jmp	.L137
.L154:
	mov	eax, DWORD PTR -124[rbp]
	mov	DWORD PTR -116[rbp], eax
	mov	eax, DWORD PTR -124[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jp	.L138
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jne	.L138
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	lea	rcx, [rdx+rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -112[rbp]
	add	rdx, rax
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rsi
	movsd	xmm3, QWORD PTR [rax]
	movsd	xmm2, QWORD PTR -48[rbp]
	movsd	xmm0, QWORD PTR -56[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	movapd	xmm4, xmm0
	xorpd	xmm4, xmm1
	movsd	xmm0, QWORD PTR -64[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movq	rax, xmm0
	mov	rsi, rcx
	mov	rdi, rdx
	movapd	xmm1, xmm4
	movq	xmm0, rax
	call	Complex_Division
	jmp	.L137
.L138:
	mov	eax, DWORD PTR -124[rbp]
	cdqe
	add	rax, 1
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -40[rbp], xmm0
	mov	edx, DWORD PTR -160[rbp]
	mov	eax, DWORD PTR -124[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movsd	QWORD PTR -32[rbp], xmm0
	mov	eax, DWORD PTR -124[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -144[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -144[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	subsd	xmm0, xmm1
	movsd	QWORD PTR -96[rbp], xmm0
	movsd	xmm0, QWORD PTR -96[rbp]
	movapd	xmm1, xmm0
	addsd	xmm1, xmm0
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm1
	movsd	QWORD PTR -88[rbp], xmm0
	movsd	xmm0, QWORD PTR -96[rbp]
	movapd	xmm1, xmm0
	mulsd	xmm1, xmm0
	mov	eax, DWORD PTR -124[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	mov	eax, DWORD PTR -124[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm2
	addsd	xmm0, xmm1
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	movsd	QWORD PTR -96[rbp], xmm0
	pxor	xmm0, xmm0
	ucomisd	xmm0, QWORD PTR -96[rbp]
	jp	.L140
	pxor	xmm0, xmm0
	ucomisd	xmm0, QWORD PTR -96[rbp]
	jne	.L140
	pxor	xmm0, xmm0
	ucomisd	xmm0, QWORD PTR -88[rbp]
	jp	.L140
	pxor	xmm0, xmm0
	ucomisd	xmm0, QWORD PTR -88[rbp]
	jne	.L140
	movsd	xmm0, QWORD PTR -48[rbp]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -40[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -32[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -24[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm1, xmm0
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm2
	addsd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -168[rbp]
	mulsd	xmm0, xmm1
	movsd	QWORD PTR -96[rbp], xmm0
.L140:
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	lea	rcx, [rdx+rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -112[rbp]
	add	rdx, rax
	movsd	xmm1, QWORD PTR -40[rbp]
	movsd	xmm0, QWORD PTR -72[rbp]
	mulsd	xmm0, xmm1
	movsd	xmm2, QWORD PTR -24[rbp]
	movsd	xmm1, QWORD PTR -56[rbp]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	movsd	xmm2, QWORD PTR -64[rbp]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rsi
	movsd	xmm1, QWORD PTR [rax]
	mulsd	xmm1, xmm2
	movapd	xmm4, xmm0
	subsd	xmm4, xmm1
	movsd	xmm1, QWORD PTR -40[rbp]
	movsd	xmm0, QWORD PTR -80[rbp]
	mulsd	xmm0, xmm1
	movsd	xmm2, QWORD PTR -24[rbp]
	movsd	xmm1, QWORD PTR -64[rbp]
	mulsd	xmm2, xmm1
	movapd	xmm1, xmm0
	subsd	xmm1, xmm2
	movsd	xmm2, QWORD PTR -56[rbp]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rsi
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm2
	addsd	xmm1, xmm0
	movq	rax, xmm1
	movsd	xmm1, QWORD PTR -88[rbp]
	movsd	xmm0, QWORD PTR -96[rbp]
	mov	rsi, rcx
	mov	rdi, rdx
	movapd	xmm3, xmm1
	movapd	xmm2, xmm0
	movapd	xmm1, xmm4
	movq	xmm0, rax
	call	Complex_Division
	movsd	xmm0, QWORD PTR -40[rbp]
	movq	xmm1, QWORD PTR .LC1[rip]
	andpd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -24[rbp]
	movq	xmm2, QWORD PTR .LC1[rip]
	andpd	xmm2, xmm1
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	movq	xmm3, QWORD PTR .LC1[rip]
	andpd	xmm1, xmm3
	addsd	xmm1, xmm2
	comisd	xmm0, xmm1
	jbe	.L155
	movsd	xmm0, QWORD PTR -64[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	xmm2, QWORD PTR -48[rbp]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mulsd	xmm2, xmm1
	movapd	xmm1, xmm0
	subsd	xmm1, xmm2
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm2
	movsd	xmm2, QWORD PTR -40[rbp]
	divsd	xmm0, xmm2
	mov	edx, DWORD PTR -160[rbp]
	mov	eax, DWORD PTR -156[rbp]
	add	eax, edx
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	addsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	movsd	xmm0, QWORD PTR -56[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	xmm2, QWORD PTR -48[rbp]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rdx
	movsd	xmm2, QWORD PTR [rax]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mulsd	xmm1, xmm2
	movsd	xmm2, QWORD PTR -40[rbp]
	divsd	xmm1, xmm2
	mov	edx, DWORD PTR -160[rbp]
	mov	eax, DWORD PTR -156[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rdx
	subsd	xmm0, xmm1
	movsd	QWORD PTR [rax], xmm0
	jmp	.L137
.L155:
	mov	edx, DWORD PTR -160[rbp]
	mov	eax, DWORD PTR -156[rbp]
	add	eax, edx
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	lea	rcx, [rdx+rax]
	mov	edx, DWORD PTR -160[rbp]
	mov	eax, DWORD PTR -156[rbp]
	add	eax, edx
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -112[rbp]
	add	rdx, rax
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -152[rbp]
	add	rax, rsi
	movsd	xmm3, QWORD PTR [rax]
	movsd	xmm5, QWORD PTR -24[rbp]
	movsd	xmm0, QWORD PTR -72[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	xmm2, QWORD PTR -32[rbp]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	lea	rsi, 0[0+rax*8]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rsi
	movsd	xmm1, QWORD PTR [rax]
	mulsd	xmm1, xmm2
	movapd	xmm4, xmm0
	subsd	xmm4, xmm1
	movsd	xmm0, QWORD PTR -80[rbp]
	movq	xmm1, QWORD PTR .LC4[rip]
	xorpd	xmm0, xmm1
	movsd	xmm2, QWORD PTR -32[rbp]
	mov	eax, DWORD PTR -156[rbp]
	cdqe
	sal	rax, 3
	lea	rsi, -8[rax]
	mov	rax, QWORD PTR -112[rbp]
	add	rax, rsi
	movsd	xmm1, QWORD PTR [rax]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	movq	rax, xmm0
	mov	rsi, rcx
	mov	rdi, rdx
	movapd	xmm2, xmm5
	movapd	xmm1, xmm4
	movq	xmm0, rax
	call	Complex_Division
.L137:
	mov	eax, DWORD PTR -160[rbp]
	cdqe
	sal	rax, 3
	neg	rax
	add	QWORD PTR -112[rbp], rax
	sub	DWORD PTR -124[rbp], 1
.L132:
	cmp	DWORD PTR -124[rbp], 0
	jns	.L145
	nop
	mov	rax, QWORD PTR -8[rbp]
	sub	rax, QWORD PTR fs:40
	je	.L146
	call	__stack_chk_fail@PLT
.L146:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE12:
	.size	BackSubstitute_Complex_Vector, .-BackSubstitute_Complex_Vector
	.type	Calculate_Eigenvectors, @function
Calculate_Eigenvectors:
.LFB13:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	mov	QWORD PTR -56[rbp], rdi
	mov	QWORD PTR -64[rbp], rsi
	mov	QWORD PTR -72[rbp], rdx
	mov	QWORD PTR -80[rbp], rcx
	mov	DWORD PTR -84[rbp], r8d
	mov	eax, DWORD PTR -84[rbp]
	sub	eax, 1
	mov	DWORD PTR -36[rbp], eax
	jmp	.L157
.L170:
	mov	eax, DWORD PTR -36[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -80[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	pxor	xmm0, xmm0
	comisd	xmm0, xmm1
	jbe	.L173
	mov	DWORD PTR -44[rbp], 0
	mov	rax, QWORD PTR -64[rbp]
	mov	QWORD PTR -24[rbp], rax
	jmp	.L160
.L163:
	pxor	xmm0, xmm0
	movsd	QWORD PTR -16[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -8[rbp], xmm0
	mov	DWORD PTR -40[rbp], 0
	mov	rax, QWORD PTR -56[rbp]
	mov	QWORD PTR -32[rbp], rax
	jmp	.L161
.L162:
	mov	eax, DWORD PTR -40[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -36[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -16[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -16[rbp], xmm0
	mov	eax, DWORD PTR -40[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -36[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -8[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -8[rbp], xmm0
	mov	eax, DWORD PTR -84[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -32[rbp], rax
	add	DWORD PTR -40[rbp], 1
.L161:
	mov	eax, DWORD PTR -40[rbp]
	cmp	eax, DWORD PTR -36[rbp]
	jle	.L162
	mov	eax, DWORD PTR -36[rbp]
	cdqe
	sal	rax, 3
	lea	rdx, -8[rax]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR -16[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -36[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR -8[rbp]
	movsd	QWORD PTR [rax], xmm0
	mov	eax, DWORD PTR -84[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -24[rbp], rax
	add	DWORD PTR -44[rbp], 1
.L160:
	mov	eax, DWORD PTR -44[rbp]
	cmp	eax, DWORD PTR -84[rbp]
	jl	.L163
	jmp	.L164
.L173:
	mov	eax, DWORD PTR -36[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -80[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jp	.L164
	pxor	xmm1, xmm1
	ucomisd	xmm0, xmm1
	jne	.L164
	mov	DWORD PTR -44[rbp], 0
	mov	rax, QWORD PTR -64[rbp]
	mov	QWORD PTR -24[rbp], rax
	jmp	.L166
.L169:
	pxor	xmm0, xmm0
	movsd	QWORD PTR -16[rbp], xmm0
	mov	DWORD PTR -40[rbp], 0
	mov	rax, QWORD PTR -56[rbp]
	mov	QWORD PTR -32[rbp], rax
	jmp	.L167
.L168:
	mov	eax, DWORD PTR -40[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm1, QWORD PTR [rax]
	mov	eax, DWORD PTR -36[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -32[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR [rax]
	mulsd	xmm0, xmm1
	movsd	xmm1, QWORD PTR -16[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -16[rbp], xmm0
	add	DWORD PTR -40[rbp], 1
	mov	eax, DWORD PTR -84[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -32[rbp], rax
.L167:
	mov	eax, DWORD PTR -40[rbp]
	cmp	eax, DWORD PTR -36[rbp]
	jle	.L168
	mov	eax, DWORD PTR -36[rbp]
	cdqe
	lea	rdx, 0[0+rax*8]
	mov	rax, QWORD PTR -24[rbp]
	add	rax, rdx
	movsd	xmm0, QWORD PTR -16[rbp]
	movsd	QWORD PTR [rax], xmm0
	add	DWORD PTR -44[rbp], 1
	mov	eax, DWORD PTR -84[rbp]
	cdqe
	sal	rax, 3
	add	QWORD PTR -24[rbp], rax
.L166:
	mov	eax, DWORD PTR -44[rbp]
	cmp	eax, DWORD PTR -84[rbp]
	jl	.L169
.L164:
	sub	DWORD PTR -36[rbp], 1
.L157:
	cmp	DWORD PTR -36[rbp], 0
	jns	.L170
	nop
	nop
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE13:
	.size	Calculate_Eigenvectors, .-Calculate_Eigenvectors
	.type	Complex_Division, @function
Complex_Division:
.LFB14:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	movsd	QWORD PTR -24[rbp], xmm0
	movsd	QWORD PTR -32[rbp], xmm1
	movsd	QWORD PTR -40[rbp], xmm2
	movsd	QWORD PTR -48[rbp], xmm3
	mov	QWORD PTR -56[rbp], rdi
	mov	QWORD PTR -64[rbp], rsi
	movsd	xmm0, QWORD PTR -40[rbp]
	movapd	xmm1, xmm0
	mulsd	xmm1, xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	mulsd	xmm0, xmm0
	addsd	xmm0, xmm1
	movsd	QWORD PTR -8[rbp], xmm0
	movsd	xmm0, QWORD PTR -24[rbp]
	movapd	xmm1, xmm0
	mulsd	xmm1, QWORD PTR -40[rbp]
	movsd	xmm0, QWORD PTR -32[rbp]
	mulsd	xmm0, QWORD PTR -48[rbp]
	addsd	xmm0, xmm1
	divsd	xmm0, QWORD PTR -8[rbp]
	mov	rax, QWORD PTR -56[rbp]
	movsd	QWORD PTR [rax], xmm0
	movsd	xmm0, QWORD PTR -32[rbp]
	mulsd	xmm0, QWORD PTR -40[rbp]
	movsd	xmm1, QWORD PTR -24[rbp]
	mulsd	xmm1, QWORD PTR -48[rbp]
	subsd	xmm0, xmm1
	divsd	xmm0, QWORD PTR -8[rbp]
	mov	rax, QWORD PTR -64[rbp]
	movsd	QWORD PTR [rax], xmm0
	nop
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE14:
	.size	Complex_Division, .-Complex_Division
	.section	.rodata
	.align 16
.LC1:
	.long	-1
	.long	2147483647
	.long	0
	.long	0
	.align 8
.LC2:
	.long	0
	.long	1018167296
	.align 8
.LC3:
	.long	0
	.long	1071644672
	.align 16
.LC4:
	.long	0
	.long	-2147483648
	.long	0
	.long	0
	.align 8
.LC5:
	.long	0
	.long	1073217536
	.align 8
.LC6:
	.long	0
	.long	1072693248
	.ident	"GCC: (Ubuntu 10.5.0-1ubuntu1~20.04) 10.5.0"
	.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:

	.arch armv5t
	.eabi_attribute 20, 1
	.eabi_attribute 21, 1
	.eabi_attribute 23, 3
	.eabi_attribute 24, 1
	.eabi_attribute 25, 1
	.eabi_attribute 26, 2
	.eabi_attribute 30, 6
	.eabi_attribute 34, 0
	.eabi_attribute 18, 4
	.file	"168892504.c"
	.text
	.global	__aeabi_dadd
	.global	__aeabi_dmul
	.global	__aeabi_dcmple
	.section	.rodata
	.align	2
.LC0:
	.word	__stack_chk_guard
	.text
	.align	2
	.global	QR_Hessenberg_Matrix
	.syntax unified
	.arm
	.fpu softvfp
	.type	QR_Hessenberg_Matrix, %function
QR_Hessenberg_Matrix:
	@ args = 8, pretend = 0, frame = 56
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, r9, fp, lr}
	add	fp, sp, #28
	sub	sp, sp, #72
	str	r0, [fp, #-72]
	str	r1, [fp, #-76]
	str	r2, [fp, #-80]
	str	r3, [fp, #-84]
	ldr	r3, .L24
	ldr	r3, [r3]
	str	r3, [fp, #-32]
	mov	r3,#0
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	ldr	r3, [fp, #4]
	sub	r3, r3, #1
	str	r3, [fp, #-60]
	b	.L2
.L18:
	mov	r3, #0
	str	r3, [fp, #-52]
	mov	r3, #1
	str	r3, [fp, #-56]
	b	.L3
.L15:
	ldr	r3, [fp, #-60]
	str	r3, [fp, #-64]
	ldr	r3, [fp, #-60]
	ldr	r2, [fp, #4]
	mul	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-72]
	add	r3, r2, r3
	str	r3, [fp, #-48]
	b	.L4
.L8:
	ldr	r3, [fp, #-64]
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-48]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	mov	r4, r2
	bic	r5, r3, #-2147483648
	ldr	r2, [fp, #-64]
	ldr	r3, [fp, #4]
	sub	r3, r2, r3
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-48]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	mov	r6, r2
	bic	r7, r3, #-2147483648
	ldr	r3, [fp, #-64]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-48]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	mov	r8, r2
	bic	r9, r3, #-2147483648
	mov	r2, r8
	mov	r3, r9
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	mov	r2, #0
	ldr	r3, .L24+4
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dcmple
	mov	r3, r0
	cmp	r3, #0
	bne	.L22
	ldr	r3, [fp, #-64]
	sub	r3, r3, #1
	str	r3, [fp, #-64]
	ldr	r3, [fp, #4]
	lsl	r3, r3, #3
	rsb	r3, r3, #0
	ldr	r2, [fp, #-48]
	add	r3, r2, r3
	str	r3, [fp, #-48]
.L4:
	ldr	r3, [fp, #-64]
	cmp	r3, #0
	bgt	.L8
	b	.L7
.L22:
	nop
.L7:
	ldr	r2, [fp, #-60]
	ldr	r3, [fp, #-64]
	sub	r3, r2, r3
	cmp	r3, #0
	beq	.L9
	cmp	r3, #1
	beq	.L10
	b	.L21
.L9:
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	stm	sp, {r2-r3}
	ldr	r3, [fp, #-64]
	ldr	r2, [fp, #-84]
	ldr	r1, [fp, #-80]
	ldr	r0, [fp, #-48]
	bl	One_Real_Eigenvalue
	mov	r3, #1
	str	r3, [fp, #-52]
	b	.L12
.L10:
	ldr	r3, [fp, #-60]
	sub	r3, r3, #1
	str	r3, [fp, #-60]
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	str	r2, [sp, #8]
	str	r3, [sp, #12]
	ldr	r3, [fp, #-60]
	str	r3, [sp, #4]
	ldr	r3, [fp, #4]
	str	r3, [sp]
	ldr	r3, [fp, #-84]
	ldr	r2, [fp, #-80]
	ldr	r1, [fp, #-76]
	ldr	r0, [fp, #-72]
	bl	Two_Eigenvalues
	mov	r3, #1
	str	r3, [fp, #-52]
	b	.L12
.L21:
	ldr	r3, [fp, #-56]
	str	r3, [sp, #8]
	sub	r3, fp, #44
	str	r3, [sp, #4]
	ldr	r3, [fp, #4]
	str	r3, [sp]
	ldr	r3, [fp, #-60]
	ldr	r2, [fp, #-64]
	ldr	r1, [fp, #-76]
	ldr	r0, [fp, #-72]
	bl	Double_QR_Iteration
.L12:
	ldr	r3, [fp, #-52]
	cmp	r3, #0
	bne	.L23
	ldr	r3, [fp, #-56]
	add	r3, r3, #1
	str	r3, [fp, #-56]
.L3:
	ldr	r2, [fp, #-56]
	ldr	r3, [fp, #8]
	cmp	r2, r3
	ble	.L15
	b	.L14
.L23:
	nop
.L14:
	ldr	r2, [fp, #-56]
	ldr	r3, [fp, #8]
	cmp	r2, r3
	ble	.L16
	mvn	r3, #0
	b	.L19
.L16:
	ldr	r3, [fp, #-60]
	sub	r3, r3, #1
	str	r3, [fp, #-60]
.L2:
	ldr	r3, [fp, #-60]
	cmp	r3, #0
	bge	.L18
	ldr	r3, [fp, #4]
	ldr	r2, [fp, #-84]
	ldr	r1, [fp, #-80]
	ldr	r0, [fp, #-72]
	bl	BackSubstitution
	ldr	r3, [fp, #4]
	str	r3, [sp]
	ldr	r3, [fp, #-84]
	ldr	r2, [fp, #-80]
	ldr	r1, [fp, #-76]
	ldr	r0, [fp, #-72]
	bl	Calculate_Eigenvectors
	mov	r3, #0
.L19:
	ldr	r2, .L24
	ldr	r1, [r2]
	ldr	r2, [fp, #-32]
	eors	r1, r2, r1
	mov	r2, #0
	beq	.L20
	bl	__stack_chk_fail
.L20:
	mov	r0, r3
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
.L25:
	.align	2
.L24:
	.word	.LC0
	.word	1018167296
	.size	QR_Hessenberg_Matrix, .-QR_Hessenberg_Matrix
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	One_Real_Eigenvalue, %function
One_Real_Eigenvalue:
	@ args = 8, pretend = 0, frame = 16
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, fp, lr}
	add	fp, sp, #8
	sub	sp, sp, #20
	str	r0, [fp, #-16]
	str	r1, [fp, #-20]
	str	r2, [fp, #-24]
	str	r3, [fp, #-28]
	ldr	r3, [fp, #-28]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-16]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-28]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-16]
	add	r4, r2, r3
	ldmib	fp, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-28]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-16]
	add	r3, r2, r3
	ldr	r2, [fp, #-28]
	lsl	r2, r2, #3
	ldr	r1, [fp, #-20]
	add	r1, r1, r2
	ldmia	r3, {r2-r3}
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-28]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-24]
	add	r1, r2, r3
	mov	r2, #0
	mov	r3, #0
	stm	r1, {r2-r3}
	nop
	sub	sp, fp, #8
	@ sp needed
	pop	{r4, fp, pc}
	.size	One_Real_Eigenvalue, .-One_Real_Eigenvalue
	.global	__aeabi_dsub
	.global	__aeabi_dcmpgt
	.global	__aeabi_dcmplt
	.global	__aeabi_ddiv
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Two_Eigenvalues, %function
Two_Eigenvalues:
	@ args = 16, pretend = 0, frame = 88
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, fp, lr}
	add	fp, sp, #24
	sub	sp, sp, #108
	str	r0, [fp, #-104]
	str	r1, [fp, #-108]
	str	r2, [fp, #-112]
	str	r3, [fp, #-116]
	ldr	r3, [fp, #4]
	ldr	r2, [fp, #8]
	mul	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-104]
	add	r3, r2, r3
	str	r3, [fp, #-96]
	ldr	r3, [fp, #4]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-96]
	add	r3, r2, r3
	str	r3, [fp, #-92]
	ldr	r3, [fp, #8]
	add	r3, r3, #1
	str	r3, [fp, #-88]
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-96]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	mov	r2, #0
	ldr	r3, .L39
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-96]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-96]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-96]
	add	r8, r2, r3
	add	r3, fp, #12
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r8, {r2-r3}
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r8, r2, r3
	add	r3, fp, #12
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r8, {r2-r3}
	mov	r2, #0
	mov	r3, #0
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmpgt
	mov	r3, r0
	cmp	r3, #0
	beq	.L36
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	sqrt
	str	r0, [fp, #-84]
	str	r1, [fp, #-80]
	mov	r2, #0
	mov	r3, #0
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmplt
	mov	r3, r0
	cmp	r3, #0
	beq	.L37
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
	b	.L32
.L37:
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
.L32:
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r4, r2, r3
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r4-r5}
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r6, r2, r3
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r6, {r2-r3}
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-116]
	add	r1, r2, r3
	mov	r2, #0
	mov	r3, #0
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-116]
	add	r1, r2, r3
	mov	r2, #0
	mov	r3, #0
	stm	r1, {r2-r3}
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	bl	sqrt
	str	r0, [fp, #-52]
	str	r1, [fp, #-48]
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-36]
	str	r3, [fp, #-32]
	ldr	r3, [fp, #8]
	str	r3, [sp, #12]
	ldr	r3, [fp, #4]
	str	r3, [sp, #8]
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	stm	sp, {r2-r3}
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	ldr	r0, [fp, #-96]
	bl	Update_Row
	ldr	r3, [fp, #8]
	str	r3, [sp, #12]
	ldr	r3, [fp, #4]
	str	r3, [sp, #8]
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	stm	sp, {r2-r3}
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	ldr	r0, [fp, #-104]
	bl	Update_Column
	ldr	r3, [fp, #8]
	str	r3, [sp, #12]
	ldr	r3, [fp, #4]
	str	r3, [sp, #8]
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	stm	sp, {r2-r3}
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	ldr	r0, [fp, #-108]
	bl	Update_Transformation
	b	.L38
.L36:
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-92]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r8, r2, r3
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r8, {r2-r3}
	ldr	r3, [fp, #-88]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r1, r2, r3
	ldmia	r8, {r2-r3}
	stm	r1, {r2-r3}
	ldr	r4, [fp, #-60]
	ldr	r3, [fp, #-56]
	bic	r5, r3, #-2147483648
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-116]
	add	r8, r2, r3
	mov	r0, r4
	mov	r1, r5
	bl	sqrt
	mov	r2, r0
	mov	r3, r1
	stm	r8, {r2-r3}
	ldr	r3, [fp, #8]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-116]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	ldr	r1, [fp, #-88]
	lsl	r1, r1, #3
	ldr	r0, [fp, #-116]
	add	r1, r0, r1
	mov	r6, r2
	eor	r7, r3, #-2147483648
	stm	r1, {r6-r7}
.L38:
	nop
	sub	sp, fp, #24
	@ sp needed
	pop	{r4, r5, r6, r7, r8, fp, pc}
.L40:
	.align	2
.L39:
	.word	1071644672
	.size	Two_Eigenvalues, .-Two_Eigenvalues
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Update_Row, %function
Update_Row:
	@ args = 16, pretend = 0, frame = 32
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r6, r7, fp, lr}
	add	fp, sp, #16
	sub	sp, sp, #36
	str	r0, [fp, #-40]
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r3, [fp, #12]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	str	r3, [fp, #-32]
	ldr	r3, [fp, #16]
	str	r3, [fp, #-36]
	b	.L42
.L43:
	ldr	r3, [fp, #-36]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-28]
	str	r3, [fp, #-24]
	sub	r3, fp, #28
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	ldr	r3, [fp, #-36]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-32]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldmib	fp, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-36]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r4, r2, r3
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-36]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-32]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	sub	r3, fp, #28
	ldmia	r3, {r2-r3}
	ldmib	fp, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-36]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-32]
	add	r4, r2, r3
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-36]
	add	r3, r3, #1
	str	r3, [fp, #-36]
.L42:
	ldr	r2, [fp, #-36]
	ldr	r3, [fp, #12]
	cmp	r2, r3
	blt	.L43
	nop
	nop
	sub	sp, fp, #16
	@ sp needed
	pop	{r4, r6, r7, fp, pc}
	.size	Update_Row, .-Update_Row
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Update_Column, %function
Update_Column:
	@ args = 16, pretend = 0, frame = 32
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r6, r7, fp, lr}
	add	fp, sp, #16
	sub	sp, sp, #36
	str	r0, [fp, #-40]
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r3, [fp, #16]
	add	r3, r3, #1
	str	r3, [fp, #-32]
	mov	r3, #0
	str	r3, [fp, #-36]
	b	.L45
.L46:
	ldr	r3, [fp, #16]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-28]
	str	r3, [fp, #-24]
	sub	r3, fp, #28
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldmib	fp, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #16]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r4, r2, r3
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	sub	r3, fp, #28
	ldmia	r3, {r2-r3}
	ldmib	fp, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r4, r2, r3
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-36]
	add	r3, r3, #1
	str	r3, [fp, #-36]
	ldr	r3, [fp, #12]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	str	r3, [fp, #-40]
.L45:
	ldr	r2, [fp, #-36]
	ldr	r3, [fp, #-32]
	cmp	r2, r3
	ble	.L46
	nop
	nop
	sub	sp, fp, #16
	@ sp needed
	pop	{r4, r6, r7, fp, pc}
	.size	Update_Column, .-Update_Column
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Update_Transformation, %function
Update_Transformation:
	@ args = 16, pretend = 0, frame = 32
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r6, r7, fp, lr}
	add	fp, sp, #16
	sub	sp, sp, #36
	str	r0, [fp, #-40]
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r3, [fp, #16]
	add	r3, r3, #1
	str	r3, [fp, #-32]
	mov	r3, #0
	str	r3, [fp, #-36]
	b	.L48
.L49:
	ldr	r3, [fp, #16]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-28]
	str	r3, [fp, #-24]
	sub	r3, fp, #28
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldmib	fp, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #16]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r4, r2, r3
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	sub	r3, fp, #28
	ldmia	r3, {r2-r3}
	ldmib	fp, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r4, r2, r3
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-36]
	add	r3, r3, #1
	str	r3, [fp, #-36]
	ldr	r3, [fp, #12]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	str	r3, [fp, #-40]
.L48:
	ldr	r2, [fp, #-36]
	ldr	r3, [fp, #12]
	cmp	r2, r3
	blt	.L49
	nop
	nop
	sub	sp, fp, #16
	@ sp needed
	pop	{r4, r6, r7, fp, pc}
	.size	Update_Transformation, .-Update_Transformation
	.section	.rodata
	.align	2
.LC1:
	.word	__stack_chk_guard
	.text
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Double_QR_Iteration, %function
Double_QR_Iteration:
	@ args = 12, pretend = 0, frame = 56
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{fp, lr}
	add	fp, sp, #4
	sub	sp, sp, #80
	str	r0, [fp, #-40]
	str	r1, [fp, #-44]
	str	r2, [fp, #-48]
	str	r3, [fp, #-52]
	ldr	r3, [fp, #8]
	str	r3, [fp, #-56]
	ldr	r3, .L52
	ldr	r3, [r3]
	str	r3, [fp, #-8]
	mov	r3,#0
	ldr	r3, [fp, #12]
	str	r3, [sp, #8]
	sub	r3, fp, #20
	str	r3, [sp, #4]
	sub	r3, fp, #28
	str	r3, [sp]
	ldr	r3, [fp, #-56]
	ldr	r2, [fp, #-52]
	ldr	r1, [fp, #4]
	ldr	r0, [fp, #-40]
	bl	Product_and_Sum_of_Shifts
	sub	r3, fp, #28
	ldmia	r3, {r2-r3}
	sub	r1, fp, #20
	ldmia	r1, {r0-r1}
	str	r0, [sp, #8]
	str	r1, [sp, #12]
	stm	sp, {r2-r3}
	ldr	r3, [fp, #4]
	ldr	r2, [fp, #-52]
	ldr	r1, [fp, #-48]
	ldr	r0, [fp, #-40]
	bl	Two_Consecutive_Small_Subdiagonal
	str	r0, [fp, #-32]
	sub	r3, fp, #28
	ldmia	r3, {r2-r3}
	sub	r1, fp, #20
	ldmia	r1, {r0-r1}
	ldr	ip, [fp, #4]
	str	ip, [sp, #20]
	ldr	ip, [fp, #-44]
	str	ip, [sp, #16]
	str	r0, [sp, #8]
	str	r1, [sp, #12]
	stm	sp, {r2-r3}
	ldr	r3, [fp, #-32]
	ldr	r2, [fp, #-52]
	ldr	r1, [fp, #-48]
	ldr	r0, [fp, #-40]
	bl	Double_QR_Step
	nop
	ldr	r3, .L52
	ldr	r2, [r3]
	ldr	r3, [fp, #-8]
	eors	r2, r3, r2
	mov	r3, #0
	beq	.L51
	bl	__stack_chk_fail
.L51:
	sub	sp, fp, #4
	@ sp needed
	pop	{fp, pc}
.L53:
	.align	2
.L52:
	.word	.LC1
	.size	Double_QR_Iteration, .-Double_QR_Iteration
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Product_and_Sum_of_Shifts, %function
Product_and_Sum_of_Shifts:
	@ args = 12, pretend = 0, frame = 32
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, fp, lr}
	add	fp, sp, #24
	sub	sp, sp, #36
	str	r0, [fp, #-48]
	str	r1, [fp, #-52]
	str	r2, [fp, #-56]
	str	r3, [fp, #-60]
	ldr	r3, [fp, #-56]
	ldr	r2, [fp, #-52]
	mul	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-48]
	add	r3, r2, r3
	str	r3, [fp, #-36]
	ldr	r3, [fp, #-56]
	sub	r3, r3, #1
	str	r3, [fp, #-32]
	ldr	r1, [fp, #12]
	ldr	r3, .L60
	smull	r2, r3, r1, r3
	asr	r2, r3, #2
	asr	r3, r1, #31
	sub	r2, r2, r3
	mov	r3, r2
	lsl	r3, r3, #2
	add	r3, r3, r2
	lsl	r3, r3, #1
	sub	r2, r1, r3
	cmp	r2, #0
	bne	.L55
	ldr	r3, [fp, #-60]
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-56]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	ldr	r1, [fp, #-60]
	stm	r1, {r2-r3}
	mov	r3, #0
	str	r3, [fp, #-40]
	ldr	r3, [fp, #-48]
	str	r3, [fp, #-44]
	b	.L56
.L57:
	ldr	r3, [fp, #-40]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-44]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-56]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	ldr	ip, [fp, #-40]
	lsl	ip, ip, #3
	ldr	lr, [fp, #-44]
	add	r8, lr, ip
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r8, {r2-r3}
	ldr	r3, [fp, #-52]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-44]
	add	r3, r2, r3
	str	r3, [fp, #-44]
	ldr	r3, [fp, #-40]
	add	r3, r3, #1
	str	r3, [fp, #-40]
.L56:
	ldr	r2, [fp, #-40]
	ldr	r3, [fp, #-56]
	cmp	r2, r3
	ble	.L57
	ldr	r3, [fp, #-52]
	lsl	r3, r3, #3
	rsb	r3, r3, #0
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	str	r3, [fp, #-44]
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	mov	r4, r2
	bic	r5, r3, #-2147483648
	ldr	r3, [fp, #-32]
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-44]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	mov	r6, r2
	bic	r7, r3, #-2147483648
	mov	r2, r6
	mov	r3, r7
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	ldr	r1, [fp, #4]
	stm	r1, {r2-r3}
	ldr	r3, [fp, #4]
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #4]
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	ldr	r1, [fp, #8]
	stm	r1, {r2-r3}
	ldr	r3, [fp, #4]
	ldmia	r3, {r0-r1}
	mov	r2, #0
	ldr	r3, .L60+4
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	ldr	r1, [fp, #4]
	stm	r1, {r2-r3}
	b	.L59
.L55:
	ldr	r3, [fp, #-52]
	lsl	r3, r3, #3
	rsb	r3, r3, #0
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	str	r3, [fp, #-44]
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-44]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-56]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	ldr	r1, [fp, #4]
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-44]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-56]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	ldr	r3, [fp, #-56]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-44]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-32]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	ldr	r1, [fp, #8]
	stm	r1, {r2-r3}
.L59:
	nop
	sub	sp, fp, #24
	@ sp needed
	pop	{r4, r5, r6, r7, r8, fp, pc}
.L61:
	.align	2
.L60:
	.word	1717986919
	.word	1073217536
	.size	Product_and_Sum_of_Shifts, .-Product_and_Sum_of_Shifts
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Two_Consecutive_Small_Subdiagonal, %function
Two_Consecutive_Small_Subdiagonal:
	@ args = 16, pretend = 0, frame = 136
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, r9, fp, lr}
	add	fp, sp, #28
	sub	sp, sp, #136
	str	r0, [fp, #-80]
	str	r1, [fp, #-84]
	str	r2, [fp, #-88]
	str	r3, [fp, #-92]
	ldr	r3, [fp, #-88]
	sub	r3, r3, #2
	str	r3, [fp, #-64]
	ldr	r2, [fp, #-64]
	ldr	r3, [fp, #-92]
	mul	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-80]
	add	r3, r3, r2
	str	r3, [fp, #-72]
	b	.L63
.L68:
	ldr	r3, [fp, #-64]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r4-r5}
	ldr	r3, [fp, #-64]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldmib	fp, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	add	r3, fp, #12
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-64]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-64]
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	ldr	r3, [fp, #-64]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-64]
	add	r3, r2, r3
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldmib	fp, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r3, [fp, #-92]
	lsl	r2, r3, #1
	ldr	r3, [fp, #-64]
	add	r3, r2, r3
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	ldr	r3, [fp, #-60]
	str	r3, [fp, #-100]
	ldr	r3, [fp, #-56]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-96]
	ldr	r3, [fp, #-52]
	str	r3, [fp, #-108]
	ldr	r3, [fp, #-48]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-104]
	sub	r3, fp, #108
	ldmia	r3, {r2-r3}
	sub	r1, fp, #100
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r8, [fp, #-44]
	ldr	r3, [fp, #-40]
	bic	r9, r3, #-2147483648
	mov	r2, r8
	mov	r3, r9
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-36]
	str	r3, [fp, #-32]
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	ldr	r2, [fp, #-64]
	ldr	r3, [fp, #-84]
	cmp	r2, r3
	beq	.L74
	ldr	r3, [fp, #-64]
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-116]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-112]
	ldr	r3, [fp, #-52]
	str	r3, [fp, #-124]
	ldr	r3, [fp, #-48]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-120]
	ldr	r3, [fp, #-44]
	str	r3, [fp, #-132]
	ldr	r3, [fp, #-40]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-128]
	sub	r3, fp, #132
	ldmia	r3, {r2-r3}
	sub	r1, fp, #124
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #116
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	ldr	r3, [fp, #-60]
	str	r3, [fp, #-140]
	ldr	r3, [fp, #-56]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-136]
	mov	r2, #0
	ldr	r3, .L76
	sub	r1, fp, #140
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	ldr	r3, [fp, #-64]
	sub	r2, r3, #1
	ldr	r3, [fp, #-92]
	sub	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-148]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-144]
	ldr	r3, [fp, #-64]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-156]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-152]
	sub	r3, fp, #156
	ldmia	r3, {r2-r3}
	sub	r1, fp, #148
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-64]
	add	r3, r2, r3
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-164]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-160]
	sub	r3, fp, #164
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dcmple
	mov	r3, r0
	cmp	r3, #0
	bne	.L75
	ldr	r3, [fp, #-92]
	lsl	r3, r3, #3
	rsb	r2, r3, #0
	ldr	r3, [fp, #-72]
	add	r3, r3, r2
	str	r3, [fp, #-72]
	ldr	r3, [fp, #-64]
	sub	r3, r3, #1
	str	r3, [fp, #-64]
.L63:
	ldr	r2, [fp, #-64]
	ldr	r3, [fp, #-84]
	cmp	r2, r3
	bge	.L68
	b	.L65
.L74:
	nop
	b	.L65
.L75:
	nop
.L65:
	ldr	r3, [fp, #-64]
	add	r3, r3, #2
	str	r3, [fp, #-68]
	ldr	r3, [fp, #-68]
	ldr	r2, [fp, #-92]
	mul	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-80]
	add	r3, r2, r3
	str	r3, [fp, #-72]
	b	.L69
.L70:
	ldr	r3, [fp, #-68]
	sub	r3, r3, #-536870910
	lsl	r3, r3, #3
	ldr	r2, [fp, #-72]
	add	r1, r2, r3
	mov	r2, #0
	mov	r3, #0
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-92]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-72]
	add	r3, r2, r3
	str	r3, [fp, #-72]
	ldr	r3, [fp, #-68]
	add	r3, r3, #1
	str	r3, [fp, #-68]
.L69:
	ldr	r2, [fp, #-68]
	ldr	r3, [fp, #-88]
	cmp	r2, r3
	ble	.L70
	ldr	r3, [fp, #-64]
	add	r3, r3, #3
	str	r3, [fp, #-68]
	ldr	r3, [fp, #-68]
	ldr	r2, [fp, #-92]
	mul	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-80]
	add	r3, r2, r3
	str	r3, [fp, #-72]
	b	.L71
.L72:
	ldr	r3, [fp, #-68]
	sub	r3, r3, #-536870909
	lsl	r3, r3, #3
	ldr	r2, [fp, #-72]
	add	r1, r2, r3
	mov	r2, #0
	mov	r3, #0
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-92]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-72]
	add	r3, r2, r3
	str	r3, [fp, #-72]
	ldr	r3, [fp, #-68]
	add	r3, r3, #1
	str	r3, [fp, #-68]
.L71:
	ldr	r2, [fp, #-68]
	ldr	r3, [fp, #-88]
	cmp	r2, r3
	ble	.L72
	ldr	r3, [fp, #-64]
	mov	r0, r3
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
.L77:
	.align	2
.L76:
	.word	1018167296
	.size	Two_Consecutive_Small_Subdiagonal, .-Two_Consecutive_Small_Subdiagonal
	.global	__aeabi_dcmpeq
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Double_QR_Step, %function
Double_QR_Step:
	@ args = 24, pretend = 0, frame = 160
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, r9, fp, lr}
	add	fp, sp, #28
	sub	sp, sp, #160
	str	r0, [fp, #-120]
	str	r1, [fp, #-124]
	str	r2, [fp, #-128]
	str	r3, [fp, #-132]
	ldr	r3, [fp, #-128]
	sub	r3, r3, #1
	str	r3, [fp, #-88]
	ldr	r3, [fp, #-132]
	str	r3, [fp, #-92]
	ldr	r2, [fp, #-132]
	ldr	r3, [fp, #24]
	mul	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-120]
	add	r3, r3, r2
	str	r3, [fp, #-112]
	ldr	r3, [fp, #-92]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r4-r5}
	ldr	r3, [fp, #-92]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldmib	fp, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	add	r3, fp, #12
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r2, [fp, #24]
	ldr	r3, [fp, #-92]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-92]
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r3, [fp, #-92]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r2, [fp, #24]
	ldr	r3, [fp, #-92]
	add	r3, r2, r3
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldmib	fp, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	ldr	r3, [fp, #24]
	lsl	r2, r3, #1
	ldr	r3, [fp, #-92]
	add	r3, r2, r3
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r8, [fp, #-68]
	ldr	r3, [fp, #-64]
	bic	r9, r3, #-2147483648
	ldr	r6, [fp, #-60]
	ldr	r3, [fp, #-56]
	bic	r7, r3, #-2147483648
	mov	r2, r6
	mov	r3, r7
	mov	r0, r8
	mov	r1, r9
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-52]
	str	r3, [fp, #-140]
	ldr	r3, [fp, #-48]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-136]
	sub	r3, fp, #140
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	b	.L79
.L100:
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-132]
	cmp	r2, r3
	ble	.L80
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-88]
	cmp	r2, r3
	beq	.L81
	ldr	r3, [fp, #24]
	lsl	r2, r3, #1
	ldr	r3, [fp, #-92]
	add	r3, r2, r3
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	b	.L82
.L81:
	mov	r2, #0
	mov	r3, #0
.L82:
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r3, [fp, #-92]
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-148]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-144]
	ldr	r2, [fp, #24]
	ldr	r3, [fp, #-92]
	add	r3, r2, r3
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-156]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-152]
	sub	r3, fp, #156
	ldmia	r3, {r2-r3}
	sub	r1, fp, #148
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-52]
	str	r3, [fp, #-164]
	ldr	r3, [fp, #-48]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-160]
	sub	r3, fp, #164
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	mov	r2, #0
	mov	r3, #0
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmpeq
	mov	r3, r0
	cmp	r3, #0
	bne	.L102
	ldr	r3, [fp, #-92]
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r2, [fp, #24]
	ldr	r3, [fp, #-92]
	add	r3, r2, r3
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
.L80:
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	bl	sqrt
	str	r0, [fp, #-84]
	str	r1, [fp, #-80]
	mov	r2, #0
	mov	r3, #0
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmplt
	mov	r3, r0
	cmp	r3, #0
	beq	.L86
	ldr	r3, [fp, #-84]
	str	r3, [fp, #-188]
	ldr	r3, [fp, #-80]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-184]
	sub	r4, fp, #188
	ldmia	r4, {r3-r4}
	str	r3, [fp, #-84]
	str	r4, [fp, #-80]
.L86:
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-132]
	cmp	r2, r3
	ble	.L88
	ldr	r3, [fp, #-84]
	str	r3, [fp, #-172]
	ldr	r3, [fp, #-80]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-168]
	ldr	r3, [fp, #-92]
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r4, r2, r3
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	sub	r1, fp, #172
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	b	.L89
.L88:
	ldr	r2, [fp, #-124]
	ldr	r3, [fp, #-132]
	cmp	r2, r3
	beq	.L89
	ldr	r3, [fp, #-92]
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-92]
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	str	r0, [fp, #-180]
	eor	r2, r1, #-2147483648
	str	r2, [fp, #-176]
	sub	r2, fp, #180
	ldmia	r2, {r1-r2}
	stm	r3, {r1-r2}
.L89:
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-36]
	str	r3, [fp, #-32]
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r3, [fp, #-92]
	str	r3, [fp, #-96]
	b	.L90
.L92:
	ldr	r3, [fp, #-96]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r4-r5}
	ldr	r2, [fp, #24]
	ldr	r3, [fp, #-96]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-88]
	cmp	r2, r3
	beq	.L91
	ldr	r3, [fp, #24]
	lsl	r2, r3, #1
	ldr	r3, [fp, #-96]
	add	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r3, [fp, #24]
	lsl	r2, r3, #1
	ldr	r3, [fp, #-96]
	add	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r6-r7}
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #24]
	lsl	r2, r3, #1
	ldr	r3, [fp, #-96]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
.L91:
	ldr	r2, [fp, #24]
	ldr	r3, [fp, #-96]
	add	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r6-r7}
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r2, [fp, #24]
	ldr	r3, [fp, #-96]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-96]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r6-r7}
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-96]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-96]
	add	r3, r3, #1
	str	r3, [fp, #-96]
.L90:
	ldr	r2, [fp, #-96]
	ldr	r3, [fp, #24]
	cmp	r2, r3
	blt	.L92
	ldr	r3, [fp, #-92]
	add	r3, r3, #3
	str	r3, [fp, #-96]
	ldr	r2, [fp, #-96]
	ldr	r3, [fp, #-128]
	cmp	r2, r3
	ble	.L93
	ldr	r3, [fp, #-128]
	str	r3, [fp, #-96]
.L93:
	mov	r3, #0
	str	r3, [fp, #-100]
	ldr	r3, [fp, #-120]
	str	r3, [fp, #-108]
	b	.L94
.L96:
	ldr	r3, [fp, #-92]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-108]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	ldr	r3, [fp, #-92]
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-108]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-88]
	cmp	r2, r3
	beq	.L95
	ldr	r3, [fp, #-92]
	add	r3, r3, #2
	lsl	r3, r3, #3
	ldr	r2, [fp, #-108]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r3, [fp, #-92]
	add	r3, r3, #2
	lsl	r3, r3, #3
	ldr	r2, [fp, #-108]
	add	r3, r2, r3
	ldmia	r3, {r6-r7}
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-92]
	add	r3, r3, #2
	lsl	r2, r3, #3
	ldr	r3, [fp, #-108]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
.L95:
	ldr	r3, [fp, #-92]
	add	r3, r3, #1
	lsl	r3, r3, #3
	ldr	r2, [fp, #-108]
	add	r3, r2, r3
	ldmia	r3, {r6-r7}
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-92]
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-108]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-92]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-108]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-92]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-108]
	add	r4, r3, r2
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-100]
	add	r3, r3, #1
	str	r3, [fp, #-100]
	ldr	r3, [fp, #24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-108]
	add	r3, r2, r3
	str	r3, [fp, #-108]
.L94:
	ldr	r2, [fp, #-100]
	ldr	r3, [fp, #-96]
	cmp	r2, r3
	ble	.L96
	mov	r3, #0
	str	r3, [fp, #-100]
	ldr	r3, [fp, #20]
	str	r3, [fp, #-104]
	b	.L97
.L99:
	ldr	r3, [fp, #-92]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-104]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	ldr	r3, [fp, #-92]
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-104]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-88]
	cmp	r2, r3
	beq	.L98
	ldr	r3, [fp, #-92]
	add	r3, r3, #2
	lsl	r3, r3, #3
	ldr	r2, [fp, #-104]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r3, [fp, #-92]
	add	r3, r3, #2
	lsl	r3, r3, #3
	ldr	r2, [fp, #-104]
	add	r3, r2, r3
	ldmia	r3, {r6-r7}
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-92]
	add	r3, r3, #2
	lsl	r2, r3, #3
	ldr	r3, [fp, #-104]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
.L98:
	ldr	r3, [fp, #-92]
	add	r3, r3, #1
	lsl	r3, r3, #3
	ldr	r2, [fp, #-104]
	add	r3, r2, r3
	ldmia	r3, {r6-r7}
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-92]
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-104]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-92]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-104]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-92]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-104]
	add	r4, r3, r2
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-104]
	add	r3, r2, r3
	str	r3, [fp, #-104]
	ldr	r3, [fp, #-100]
	add	r3, r3, #1
	str	r3, [fp, #-100]
.L97:
	ldr	r2, [fp, #-100]
	ldr	r3, [fp, #24]
	cmp	r2, r3
	blt	.L99
	b	.L85
.L102:
	nop
.L85:
	ldr	r3, [fp, #-92]
	add	r3, r3, #1
	str	r3, [fp, #-92]
	ldr	r3, [fp, #24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	str	r3, [fp, #-112]
.L79:
	ldr	r2, [fp, #-92]
	ldr	r3, [fp, #-88]
	cmp	r2, r3
	ble	.L100
	nop
	nop
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
	.size	Double_QR_Step, .-Double_QR_Step
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	BackSubstitution, %function
BackSubstitution:
	@ args = 0, pretend = 0, frame = 40
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, fp, lr}
	add	fp, sp, #12
	sub	sp, sp, #56
	str	r0, [fp, #-40]
	str	r1, [fp, #-44]
	str	r2, [fp, #-48]
	str	r3, [fp, #-52]
	ldr	r3, [fp, #-40]
	str	r3, [fp, #-36]
	ldr	r3, [fp, #-36]
	ldmia	r3, {r2-r3}
	mov	r1, r2
	str	r1, [fp, #-20]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-16]
	ldr	r3, [fp, #-52]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	str	r3, [fp, #-36]
	mov	r3, #1
	str	r3, [fp, #-32]
	b	.L104
.L107:
	ldr	r3, [fp, #-32]
	sub	r3, r3, #1
	str	r3, [fp, #-28]
	b	.L105
.L106:
	ldr	r3, [fp, #-28]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	mov	r4, r2
	bic	r5, r3, #-2147483648
	mov	r2, r4
	mov	r3, r5
	sub	r1, fp, #20
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-20]
	str	r3, [fp, #-16]
	ldr	r3, [fp, #-28]
	add	r3, r3, #1
	str	r3, [fp, #-28]
.L105:
	ldr	r2, [fp, #-28]
	ldr	r3, [fp, #-52]
	cmp	r2, r3
	blt	.L106
	ldr	r3, [fp, #-52]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	str	r3, [fp, #-36]
	ldr	r3, [fp, #-32]
	add	r3, r3, #1
	str	r3, [fp, #-32]
.L104:
	ldr	r2, [fp, #-32]
	ldr	r3, [fp, #-52]
	cmp	r2, r3
	blt	.L107
	mov	r2, #0
	ldr	r3, .L117
	sub	r1, fp, #20
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-20]
	str	r3, [fp, #-16]
	ldr	r3, [fp, #-52]
	sub	r3, r3, #1
	str	r3, [fp, #-24]
	b	.L108
.L113:
	ldr	r3, [fp, #-24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-48]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmpeq
	mov	r3, r0
	cmp	r3, #0
	beq	.L116
	ldr	r3, [fp, #-52]
	str	r3, [sp, #8]
	sub	r3, fp, #20
	ldmia	r3, {r2-r3}
	stm	sp, {r2-r3}
	ldr	r3, [fp, #-24]
	ldr	r2, [fp, #-48]
	ldr	r1, [fp, #-44]
	ldr	r0, [fp, #-40]
	bl	BackSubstitute_Real_Vector
	b	.L111
.L116:
	ldr	r3, [fp, #-24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-48]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmplt
	mov	r3, r0
	cmp	r3, #0
	beq	.L111
	ldr	r3, [fp, #-52]
	str	r3, [sp, #8]
	sub	r3, fp, #20
	ldmia	r3, {r2-r3}
	stm	sp, {r2-r3}
	ldr	r3, [fp, #-24]
	ldr	r2, [fp, #-48]
	ldr	r1, [fp, #-44]
	ldr	r0, [fp, #-40]
	bl	BackSubstitute_Complex_Vector
.L111:
	ldr	r3, [fp, #-24]
	sub	r3, r3, #1
	str	r3, [fp, #-24]
.L108:
	ldr	r3, [fp, #-24]
	cmp	r3, #0
	bge	.L113
	nop
	nop
	sub	sp, fp, #12
	@ sp needed
	pop	{r4, r5, fp, pc}
.L118:
	.align	2
.L117:
	.word	1018167296
	.size	BackSubstitution, .-BackSubstitution
	.section	.rodata
	.align	2
.LC2:
	.word	__stack_chk_guard
	.text
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	BackSubstitute_Real_Vector, %function
BackSubstitute_Real_Vector:
	@ args = 12, pretend = 0, frame = 136
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, r9, fp, lr}
	add	fp, sp, #28
	sub	sp, sp, #136
	str	r0, [fp, #-120]
	str	r1, [fp, #-124]
	str	r2, [fp, #-128]
	str	r3, [fp, #-132]
	ldr	r3, .L142
	ldr	r3, [r3]
	str	r3, [fp, #-32]
	mov	r3,#0
	ldr	r3, [fp, #-132]
	str	r3, [fp, #-96]
	ldr	r3, [fp, #-132]
	ldr	r2, [fp, #12]
	mul	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-120]
	add	r3, r2, r3
	str	r3, [fp, #-112]
	ldr	r3, [fp, #-132]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r1, r2, r3
	mov	r2, #0
	ldr	r3, .L142+4
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-132]
	sub	r3, r3, #1
	str	r3, [fp, #-104]
	ldr	r3, [fp, #12]
	lsl	r3, r3, #3
	rsb	r3, r3, #0
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	str	r3, [fp, #-112]
	b	.L120
.L132:
	ldr	r3, [fp, #-104]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-132]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-124]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r3, [fp, #-132]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
	ldr	r3, [fp, #12]
	ldr	r2, [fp, #-96]
	mul	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-120]
	add	r3, r2, r3
	str	r3, [fp, #-108]
	ldr	r3, [fp, #-96]
	str	r3, [fp, #-100]
	b	.L121
.L122:
	sub	r5, fp, #84
	ldmia	r5, {r4-r5}
	ldr	r3, [fp, #-100]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-132]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-108]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
	ldr	r3, [fp, #-100]
	add	r3, r3, #1
	str	r3, [fp, #-100]
	ldr	r3, [fp, #12]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-108]
	add	r3, r2, r3
	str	r3, [fp, #-108]
.L121:
	ldr	r2, [fp, #-100]
	ldr	r3, [fp, #-132]
	cmp	r2, r3
	blt	.L122
	ldr	r3, [fp, #-104]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-128]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmplt
	mov	r3, r0
	cmp	r3, #0
	beq	.L138
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	b	.L125
.L138:
	ldr	r3, [fp, #-104]
	str	r3, [fp, #-96]
	ldr	r3, [fp, #-104]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-128]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmpeq
	mov	r3, r0
	cmp	r3, #0
	beq	.L139
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmpeq
	mov	r3, r0
	cmp	r3, #0
	bne	.L140
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	mov	r6, r2
	eor	r7, r3, #-2147483648
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-132]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	b	.L125
.L140:
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	mov	r8, r2
	eor	r9, r3, #-2147483648
	ldr	r3, [fp, #-132]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r4, r2, r3
	ldmib	fp, {r2-r3}
	mov	r0, r8
	mov	r1, r9
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	b	.L125
.L139:
	ldr	r3, [fp, #-104]
	add	r3, r3, #1
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-104]
	add	r3, r2, r3
	lsl	r3, r3, #3
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r3, [fp, #-104]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-124]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-132]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-124]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-92]
	str	r3, [fp, #-88]
	sub	r3, fp, #92
	ldmia	r3, {r2-r3}
	sub	r1, fp, #92
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-92]
	str	r3, [fp, #-88]
	ldr	r3, [fp, #-104]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-128]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-104]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-128]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #92
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-92]
	str	r3, [fp, #-88]
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-132]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r4, r3, r2
	sub	r3, fp, #92
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-140]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-136]
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-148]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-144]
	sub	r3, fp, #148
	ldmia	r3, {r2-r3}
	sub	r1, fp, #140
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmpgt
	mov	r3, r0
	cmp	r3, #0
	beq	.L141
	sub	r5, fp, #84
	ldmia	r5, {r4-r5}
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-132]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-156]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-152]
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-132]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #156
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	b	.L125
.L141:
	sub	r5, fp, #76
	ldmia	r5, {r4-r5}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-132]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-164]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-160]
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-132]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-112]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #164
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
.L125:
	ldr	r3, [fp, #-104]
	sub	r3, r3, #1
	str	r3, [fp, #-104]
	ldr	r3, [fp, #12]
	lsl	r3, r3, #3
	rsb	r3, r3, #0
	ldr	r2, [fp, #-112]
	add	r3, r2, r3
	str	r3, [fp, #-112]
.L120:
	ldr	r3, [fp, #-104]
	cmp	r3, #0
	bge	.L132
	nop
	ldr	r3, .L142
	ldr	r2, [r3]
	ldr	r3, [fp, #-32]
	eors	r2, r3, r2
	mov	r3, #0
	beq	.L133
	bl	__stack_chk_fail
.L133:
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
.L143:
	.align	2
.L142:
	.word	.LC2
	.word	1072693248
	.size	BackSubstitute_Real_Vector, .-BackSubstitute_Real_Vector
	.section	.rodata
	.align	2
.LC3:
	.word	__stack_chk_guard
	.text
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	BackSubstitute_Complex_Vector, %function
BackSubstitute_Complex_Vector:
	@ args = 12, pretend = 0, frame = 256
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, r9, fp, lr}
	add	fp, sp, #28
	sub	sp, sp, #280
	str	r0, [fp, #-144]
	str	r1, [fp, #-148]
	str	r2, [fp, #-152]
	str	r3, [fp, #-156]
	ldr	r3, .L173
	ldr	r3, [r3]
	str	r3, [fp, #-32]
	mov	r3,#0
	ldr	r3, [fp, #-156]
	sub	r3, r3, #1
	str	r3, [fp, #-120]
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-156]
	mul	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-144]
	add	r3, r3, r2
	str	r3, [fp, #-136]
	ldr	r3, [fp, #-120]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	mov	r6, r2
	bic	r7, r3, #-2147483648
	ldr	r2, [fp, #-156]
	ldr	r3, [fp, #12]
	sub	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	mov	r4, r2
	bic	r5, r3, #-2147483648
	mov	r2, r4
	mov	r3, r5
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dcmpgt
	mov	r3, r0
	cmp	r3, #0
	beq	.L169
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-148]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r8, r2
	eor	r9, r3, #-2147483648
	ldr	r3, [fp, #-120]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r2, [fp, #-120]
	ldr	r3, [fp, #12]
	sub	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r8
	mov	r1, r9
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-164]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-160]
	ldr	r3, [fp, #-120]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r2, [fp, #-156]
	ldr	r3, [fp, #12]
	sub	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #164
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	b	.L147
.L169:
	ldr	r2, [fp, #-156]
	ldr	r3, [fp, #12]
	sub	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-172]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-168]
	ldr	r2, [fp, #-120]
	ldr	r3, [fp, #12]
	sub	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-148]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r2, [fp, #-120]
	ldr	r3, [fp, #12]
	sub	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	ip, r3, r2
	ldr	r2, [fp, #-156]
	ldr	r3, [fp, #12]
	sub	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	str	r3, [sp, #20]
	str	ip, [sp, #16]
	str	r0, [sp, #8]
	str	r1, [sp, #12]
	stm	sp, {r4-r5}
	mov	r2, #0
	mov	r3, #0
	sub	r1, fp, #172
	ldmia	r1, {r0-r1}
	bl	Complex_Division
.L147:
	ldr	r3, [fp, #-120]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r1, r3, r2
	mov	r2, #0
	ldr	r3, .L173+4
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r1, r3, r2
	mov	r2, #0
	mov	r3, #0
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-156]
	sub	r3, r3, #2
	str	r3, [fp, #-128]
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-128]
	mul	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-144]
	add	r3, r3, r2
	str	r3, [fp, #-136]
	b	.L148
.L161:
	ldr	r3, [fp, #-128]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-148]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	ldr	r2, [fp, #-120]
	ldr	r3, [fp, #12]
	mul	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-144]
	add	r3, r3, r2
	str	r3, [fp, #-132]
	ldr	r3, [fp, #-120]
	str	r3, [fp, #-124]
	b	.L149
.L150:
	sub	r5, fp, #84
	ldmia	r5, {r4-r5}
	ldr	r3, [fp, #-124]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-132]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
	sub	r5, fp, #76
	ldmia	r5, {r4-r5}
	ldr	r3, [fp, #-124]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-132]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	ldr	r3, [fp, #-124]
	add	r3, r3, #1
	str	r3, [fp, #-124]
	ldr	r3, [fp, #12]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-132]
	add	r3, r3, r2
	str	r3, [fp, #-132]
.L149:
	ldr	r2, [fp, #-124]
	ldr	r3, [fp, #-156]
	cmp	r2, r3
	blt	.L150
	ldr	r3, [fp, #-128]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmplt
	mov	r3, r0
	cmp	r3, #0
	beq	.L170
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-100]
	str	r3, [fp, #-96]
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-92]
	str	r3, [fp, #-88]
	b	.L153
.L170:
	ldr	r3, [fp, #-128]
	str	r3, [fp, #-120]
	ldr	r3, [fp, #-128]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmpeq
	mov	r3, r0
	cmp	r3, #0
	beq	.L171
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-180]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-176]
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-188]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-184]
	sub	r5, fp, #68
	ldmia	r5, {r4-r5}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	ip, r3, r2
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	str	r3, [sp, #20]
	str	ip, [sp, #16]
	str	r0, [sp, #8]
	str	r1, [sp, #12]
	stm	sp, {r4-r5}
	sub	r3, fp, #188
	ldmia	r3, {r2-r3}
	sub	r1, fp, #180
	ldmia	r1, {r0-r1}
	bl	Complex_Division
	b	.L153
.L171:
	ldr	r3, [fp, #-128]
	add	r3, r3, #1
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-128]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r3, [fp, #-128]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-148]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-148]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-116]
	str	r3, [fp, #-112]
	sub	r1, fp, #116
	ldmia	r1, {r0-r1}
	mov	r2, r0
	mov	r3, r1
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-108]
	str	r3, [fp, #-104]
	sub	r3, fp, #116
	ldmia	r3, {r2-r3}
	sub	r1, fp, #116
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	ldr	r3, [fp, #-128]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-128]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-116]
	str	r3, [fp, #-112]
	mov	r2, #0
	mov	r3, #0
	sub	r1, fp, #116
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmpeq
	mov	r3, r0
	cmp	r3, #0
	beq	.L156
	mov	r2, #0
	mov	r3, #0
	sub	r1, fp, #108
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmpeq
	mov	r3, r0
	cmp	r3, #0
	beq	.L156
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-196]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-192]
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-204]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-200]
	sub	r3, fp, #204
	ldmia	r3, {r2-r3}
	sub	r1, fp, #196
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-212]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-208]
	sub	r3, fp, #212
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-220]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-216]
	sub	r3, fp, #220
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-228]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-224]
	sub	r3, fp, #228
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	ldmib	fp, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-116]
	str	r3, [fp, #-112]
.L156:
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	sub	r3, fp, #100
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	sub	r3, fp, #92
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	ldr	r3, [fp, #-156]
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r1, r3, r2
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	str	r3, [sp, #20]
	str	r1, [sp, #16]
	sub	r3, fp, #108
	ldmia	r3, {r2-r3}
	str	r2, [sp, #8]
	str	r3, [sp, #12]
	sub	r3, fp, #116
	ldmia	r3, {r2-r3}
	stm	sp, {r2-r3}
	mov	r2, r4
	mov	r3, r5
	mov	r0, r6
	mov	r1, r7
	bl	Complex_Division
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-236]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-232]
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-244]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-240]
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-252]
	bic	r3, r3, #-2147483648
	str	r3, [fp, #-248]
	sub	r3, fp, #252
	ldmia	r3, {r2-r3}
	sub	r1, fp, #244
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #236
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmpgt
	mov	r3, r0
	cmp	r3, #0
	beq	.L172
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-260]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-256]
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-156]
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #260
	ldmia	r1, {r0-r1}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-156]
	add	r3, r2, r3
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-268]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-264]
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #268
	ldmia	r1, {r0-r1}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-156]
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-156]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r4, r3, r2
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	stm	r4, {r2-r3}
	b	.L153
.L172:
	sub	r3, fp, #100
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-276]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-272]
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-156]
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #276
	ldmia	r1, {r0-r1}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r8, r2
	mov	r9, r3
	sub	r3, fp, #92
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-284]
	eor	r3, r3, #-2147483648
	str	r3, [fp, #-280]
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #284
	ldmia	r1, {r0-r1}
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	sub	r5, fp, #44
	ldmia	r5, {r4-r5}
	ldr	r3, [fp, #-156]
	lsl	r2, r3, #3
	ldr	r3, [fp, #-152]
	add	r3, r3, r2
	ldmia	r3, {r0-r1}
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-156]
	add	r3, r2, r3
	sub	r3, r3, #-536870911
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	ip, r3, r2
	ldr	r2, [fp, #12]
	ldr	r3, [fp, #-156]
	add	r3, r2, r3
	lsl	r2, r3, #3
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	str	r3, [sp, #20]
	str	ip, [sp, #16]
	str	r0, [sp, #8]
	str	r1, [sp, #12]
	stm	sp, {r4-r5}
	mov	r2, r6
	mov	r3, r7
	mov	r0, r8
	mov	r1, r9
	bl	Complex_Division
.L153:
	ldr	r3, [fp, #12]
	lsl	r3, r3, #3
	rsb	r2, r3, #0
	ldr	r3, [fp, #-136]
	add	r3, r3, r2
	str	r3, [fp, #-136]
	ldr	r3, [fp, #-128]
	sub	r3, r3, #1
	str	r3, [fp, #-128]
.L148:
	ldr	r3, [fp, #-128]
	cmp	r3, #0
	bge	.L161
	nop
	ldr	r3, .L173
	ldr	r2, [r3]
	ldr	r3, [fp, #-32]
	eors	r2, r3, r2
	mov	r3, #0
	beq	.L162
	bl	__stack_chk_fail
.L162:
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
.L174:
	.align	2
.L173:
	.word	.LC3
	.word	1072693248
	.size	BackSubstitute_Complex_Vector, .-BackSubstitute_Complex_Vector
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Calculate_Eigenvectors, %function
Calculate_Eigenvectors:
	@ args = 4, pretend = 0, frame = 56
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{fp, lr}
	add	fp, sp, #4
	sub	sp, sp, #56
	str	r0, [fp, #-48]
	str	r1, [fp, #-52]
	str	r2, [fp, #-56]
	str	r3, [fp, #-60]
	ldr	r3, [fp, #4]
	sub	r3, r3, #1
	str	r3, [fp, #-24]
	b	.L176
.L189:
	ldr	r3, [fp, #-24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-60]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmplt
	mov	r3, r0
	cmp	r3, #0
	beq	.L192
	mov	r3, #0
	str	r3, [fp, #-32]
	ldr	r3, [fp, #-52]
	str	r3, [fp, #-36]
	b	.L179
.L182:
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-20]
	str	r3, [fp, #-16]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-12]
	str	r3, [fp, #-8]
	mov	r3, #0
	str	r3, [fp, #-28]
	ldr	r3, [fp, #-48]
	str	r3, [fp, #-40]
	b	.L180
.L181:
	ldr	r3, [fp, #-28]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-24]
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #20
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-20]
	str	r3, [fp, #-16]
	ldr	r3, [fp, #-28]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #12
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-12]
	str	r3, [fp, #-8]
	ldr	r3, [fp, #4]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	str	r3, [fp, #-40]
	ldr	r3, [fp, #-28]
	add	r3, r3, #1
	str	r3, [fp, #-28]
.L180:
	ldr	r2, [fp, #-28]
	ldr	r3, [fp, #-24]
	cmp	r2, r3
	ble	.L181
	ldr	r3, [fp, #-24]
	sub	r3, r3, #-536870911
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r1, r2, r3
	sub	r3, fp, #20
	ldmia	r3, {r2-r3}
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r1, r2, r3
	sub	r3, fp, #12
	ldmia	r3, {r2-r3}
	stm	r1, {r2-r3}
	ldr	r3, [fp, #4]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	str	r3, [fp, #-36]
	ldr	r3, [fp, #-32]
	add	r3, r3, #1
	str	r3, [fp, #-32]
.L179:
	ldr	r2, [fp, #-32]
	ldr	r3, [fp, #4]
	cmp	r2, r3
	blt	.L182
	b	.L183
.L192:
	ldr	r3, [fp, #-24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-60]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	mov	r2, #0
	mov	r3, #0
	bl	__aeabi_dcmpeq
	mov	r3, r0
	cmp	r3, #0
	beq	.L183
	mov	r3, #0
	str	r3, [fp, #-32]
	ldr	r3, [fp, #-52]
	str	r3, [fp, #-36]
	b	.L185
.L188:
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-20]
	str	r3, [fp, #-16]
	mov	r3, #0
	str	r3, [fp, #-28]
	ldr	r3, [fp, #-48]
	str	r3, [fp, #-40]
	b	.L186
.L187:
	ldr	r3, [fp, #-28]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	ldmia	r3, {r0-r1}
	ldr	r3, [fp, #-24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #20
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-20]
	str	r3, [fp, #-16]
	ldr	r3, [fp, #-28]
	add	r3, r3, #1
	str	r3, [fp, #-28]
	ldr	r3, [fp, #4]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-40]
	add	r3, r2, r3
	str	r3, [fp, #-40]
.L186:
	ldr	r2, [fp, #-28]
	ldr	r3, [fp, #-24]
	cmp	r2, r3
	ble	.L187
	ldr	r3, [fp, #-24]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r1, r2, r3
	sub	r3, fp, #20
	ldmia	r3, {r2-r3}
	stm	r1, {r2-r3}
	ldr	r3, [fp, #-32]
	add	r3, r3, #1
	str	r3, [fp, #-32]
	ldr	r3, [fp, #4]
	lsl	r3, r3, #3
	ldr	r2, [fp, #-36]
	add	r3, r2, r3
	str	r3, [fp, #-36]
.L185:
	ldr	r2, [fp, #-32]
	ldr	r3, [fp, #4]
	cmp	r2, r3
	blt	.L188
.L183:
	ldr	r3, [fp, #-24]
	sub	r3, r3, #1
	str	r3, [fp, #-24]
.L176:
	ldr	r3, [fp, #-24]
	cmp	r3, #0
	bge	.L189
	nop
	nop
	sub	sp, fp, #4
	@ sp needed
	pop	{fp, pc}
	.size	Calculate_Eigenvectors, .-Calculate_Eigenvectors
	.align	2
	.syntax unified
	.arm
	.fpu softvfp
	.type	Complex_Division, %function
Complex_Division:
	@ args = 24, pretend = 0, frame = 24
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, fp, lr}
	add	fp, sp, #12
	sub	sp, sp, #24
	str	r0, [fp, #-28]
	str	r1, [fp, #-24]
	str	r2, [fp, #-36]
	str	r3, [fp, #-32]
	ldmib	fp, {r2-r3}
	ldmib	fp, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	add	r3, fp, #12
	ldmia	r3, {r2-r3}
	add	r1, fp, #12
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-20]
	str	r3, [fp, #-16]
	ldmib	fp, {r2-r3}
	sub	r1, fp, #28
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	add	r3, fp, #12
	ldmia	r3, {r2-r3}
	sub	r1, fp, #36
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #20
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	ldr	r1, [fp, #20]
	stm	r1, {r2-r3}
	ldmib	fp, {r2-r3}
	sub	r1, fp, #36
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	add	r3, fp, #12
	ldmia	r3, {r2-r3}
	sub	r1, fp, #28
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #20
	ldmia	r3, {r2-r3}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	ldr	r1, [fp, #24]
	stm	r1, {r2-r3}
	nop
	sub	sp, fp, #12
	@ sp needed
	pop	{r4, r5, fp, pc}
	.size	Complex_Division, .-Complex_Division
	.ident	"GCC: (Ubuntu 9.4.0-1ubuntu1~20.04.2) 9.4.0"
	.section	.note.GNU-stack,"",%progbits
