	.file	"466851.c"
	.intel_syntax noprefix
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	mov	eax, 0
	call	print
	mov	eax, 0
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC0:
	.string	"\nEuler: %lf\n\nMidpoint: %lf\n\nRunge-Kutta: %lf\n\nFourth-order Runge-Kutta: %lf\n\n"
	.text
	.globl	print
	.type	print, @function
print:
.LFB7:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	push	r13
	push	r12
	push	rbx
	sub	rsp, 8
	.cfi_offset 13, -24
	.cfi_offset 12, -32
	.cfi_offset 3, -40
	mov	eax, 0
	call	heun
	movq	r13, xmm0
	mov	eax, 0
	call	RK
	movq	r12, xmm0
	mov	eax, 0
	call	midpoint
	movq	rbx, xmm0
	mov	eax, 0
	call	Euler
	movq	rax, xmm0
	movq	xmm3, r13
	movq	xmm2, r12
	movq	xmm1, rbx
	movq	xmm0, rax
	lea	rdi, .LC0[rip]
	mov	eax, 4
	call	printf@PLT
	nop
	add	rsp, 8
	pop	rbx
	pop	r12
	pop	r13
	pop	rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	print, .-print
	.globl	Euler
	.type	Euler, @function
Euler:
.LFB8:
	.cfi_startproc
	endbr64
	push	rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	mov	rbp, rsp
	.cfi_def_cfa_register 6
	sub	rsp, 48
	pxor	xmm0, xmm0
	movsd	QWORD PTR -40[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC2[rip]
	movsd	QWORD PTR -32[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -16[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC3[rip]
	movsd	QWORD PTR -8[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -40[rbp], xmm0
	jmp	.L5
.L6:
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -40[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm0, rax
	mulsd	xmm0, QWORD PTR -32[rbp]
	movsd	xmm2, QWORD PTR -32[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	mulsd	xmm0, QWORD PTR -8[rbp]
	movsd	xmm1, QWORD PTR -32[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -24[rbp], xmm0
	movsd	xmm0, QWORD PTR -24[rbp]
	movsd	QWORD PTR -32[rbp], xmm0
	movsd	xmm0, QWORD PTR -40[rbp]
	addsd	xmm0, QWORD PTR -8[rbp]
	movsd	QWORD PTR -40[rbp], xmm0
.L5:
	movsd	xmm0, QWORD PTR .LC6[rip]
	comisd	xmm0, QWORD PTR -40[rbp]
	jnb	.L6
	movsd	xmm0, QWORD PTR -24[rbp]
	movq	rax, xmm0
	movq	xmm0, rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	Euler, .-Euler
	.globl	midpoint
	.type	midpoint, @function
midpoint:
.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, 64
	pxor	xmm0, xmm0
	movsd	QWORD PTR -40[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC2[rip]
	movsd	QWORD PTR -32[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -16[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC3[rip]
	movsd	QWORD PTR -8[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -40[rbp], xmm0
	jmp	.L9
.L10:
	movsd	xmm1, QWORD PTR -8[rbp]
	movsd	xmm0, QWORD PTR .LC7[rip]
	mulsd	xmm0, xmm1
	addsd	xmm0, QWORD PTR -40[rbp]
	movq	rax, xmm0
	movsd	xmm0, QWORD PTR .LC4[rip]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm3, rax
	mulsd	xmm3, QWORD PTR -32[rbp]
	movsd	QWORD PTR -56[rbp], xmm3
	movsd	xmm1, QWORD PTR -8[rbp]
	movsd	xmm0, QWORD PTR .LC7[rip]
	mulsd	xmm1, xmm0
	movsd	QWORD PTR -64[rbp], xmm1
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -40[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm0, rax
	mulsd	xmm0, QWORD PTR -32[rbp]
	movsd	xmm2, QWORD PTR -32[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	mulsd	xmm0, QWORD PTR -64[rbp]
	addsd	xmm0, QWORD PTR -56[rbp]
	movsd	xmm2, QWORD PTR -32[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	movsd	QWORD PTR -56[rbp], xmm0
	movsd	xmm1, QWORD PTR -8[rbp]
	movsd	xmm0, QWORD PTR .LC7[rip]
	mulsd	xmm1, xmm0
	movsd	QWORD PTR -64[rbp], xmm1
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -40[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm5, rax
	mulsd	xmm5, QWORD PTR -32[rbp]
	movapd	xmm0, xmm5
	movsd	xmm2, QWORD PTR -32[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	mulsd	xmm0, QWORD PTR -64[rbp]
	addsd	xmm0, QWORD PTR -56[rbp]
	mulsd	xmm0, QWORD PTR -8[rbp]
	movsd	xmm1, QWORD PTR -32[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -24[rbp], xmm0
	movsd	xmm0, QWORD PTR -24[rbp]
	movsd	QWORD PTR -32[rbp], xmm0
	movsd	xmm0, QWORD PTR -40[rbp]
	addsd	xmm0, QWORD PTR -8[rbp]
	movsd	QWORD PTR -40[rbp], xmm0
.L9:
	movsd	xmm1, QWORD PTR -8[rbp]
	movsd	xmm0, QWORD PTR .LC6[rip]
	addsd	xmm0, xmm1
	comisd	xmm0, QWORD PTR -40[rbp]
	jnb	.L10
	movsd	xmm0, QWORD PTR -24[rbp]
	movq	rax, xmm0
	movq	xmm0, rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.size	midpoint, .-midpoint
	.globl	heun
	.type	heun, @function
heun:
.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
	pxor	xmm0, xmm0
	movsd	QWORD PTR -48[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC2[rip]
	movsd	QWORD PTR -40[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -24[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC3[rip]
	movsd	QWORD PTR -16[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -48[rbp], xmm0
	jmp	.L13
.L14:
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -48[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm0, rax
	mulsd	xmm0, QWORD PTR -40[rbp]
	movsd	xmm2, QWORD PTR -40[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	mulsd	xmm0, QWORD PTR -16[rbp]
	movsd	xmm1, QWORD PTR -40[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -8[rbp], xmm0
	movsd	xmm1, QWORD PTR -16[rbp]
	movsd	xmm0, QWORD PTR .LC7[rip]
	mulsd	xmm1, xmm0
	movsd	QWORD PTR -56[rbp], xmm1
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -48[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm0, rax
	mulsd	xmm0, QWORD PTR -40[rbp]
	movsd	xmm2, QWORD PTR -40[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	movsd	QWORD PTR -64[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -48[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm4, rax
	mulsd	xmm4, QWORD PTR -8[rbp]
	movapd	xmm0, xmm4
	movsd	xmm2, QWORD PTR -8[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	addsd	xmm0, QWORD PTR -64[rbp]
	mulsd	xmm0, QWORD PTR -56[rbp]
	movsd	xmm1, QWORD PTR -40[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -32[rbp], xmm0
	movsd	xmm0, QWORD PTR -32[rbp]
	movsd	QWORD PTR -40[rbp], xmm0
	movsd	xmm0, QWORD PTR -48[rbp]
	addsd	xmm0, QWORD PTR -16[rbp]
	movsd	QWORD PTR -48[rbp], xmm0
.L13:
	movsd	xmm1, QWORD PTR -16[rbp]
	movsd	xmm0, QWORD PTR .LC6[rip]
	addsd	xmm0, xmm1
	comisd	xmm0, QWORD PTR -48[rbp]
	jnb	.L14
	movsd	xmm0, QWORD PTR -32[rbp]
	movq	rax, xmm0
	movq	xmm0, rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE10:
	.size	heun, .-heun
	.globl	RK
	.type	RK, @function
RK:
.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, 80
	pxor	xmm0, xmm0
	movsd	QWORD PTR -56[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC2[rip]
	movsd	QWORD PTR -48[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -32[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC3[rip]
	movsd	QWORD PTR -24[rbp], xmm0
	pxor	xmm0, xmm0
	movsd	QWORD PTR -56[rbp], xmm0
	jmp	.L17
.L18:
	movsd	xmm1, QWORD PTR -24[rbp]
	movsd	xmm0, QWORD PTR .LC7[rip]
	mulsd	xmm1, xmm0
	movsd	QWORD PTR -72[rbp], xmm1
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -56[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm0, rax
	mulsd	xmm0, QWORD PTR -48[rbp]
	movsd	xmm2, QWORD PTR -48[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	mulsd	xmm0, QWORD PTR -72[rbp]
	movsd	xmm1, QWORD PTR -48[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -16[rbp], xmm0
	movsd	xmm1, QWORD PTR -24[rbp]
	movsd	xmm0, QWORD PTR .LC7[rip]
	mulsd	xmm0, xmm1
	addsd	xmm0, QWORD PTR -56[rbp]
	movq	rax, xmm0
	movsd	xmm0, QWORD PTR .LC4[rip]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm0, rax
	mulsd	xmm0, QWORD PTR -16[rbp]
	movsd	xmm2, QWORD PTR -16[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	addsd	xmm0, xmm0
	movsd	QWORD PTR -72[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -56[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm3, rax
	mulsd	xmm3, QWORD PTR -48[rbp]
	movapd	xmm0, xmm3
	movsd	xmm2, QWORD PTR -48[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm2, xmm1
	movapd	xmm1, xmm0
	subsd	xmm1, xmm2
	movsd	xmm0, QWORD PTR -72[rbp]
	subsd	xmm0, xmm1
	mulsd	xmm0, QWORD PTR -24[rbp]
	movsd	xmm1, QWORD PTR -48[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -8[rbp], xmm0
	movsd	xmm0, QWORD PTR -24[rbp]
	movsd	xmm1, QWORD PTR .LC8[rip]
	divsd	xmm0, xmm1
	movsd	QWORD PTR -72[rbp], xmm0
	movsd	xmm0, QWORD PTR .LC4[rip]
	mov	rax, QWORD PTR -56[rbp]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm5, rax
	mulsd	xmm5, QWORD PTR -48[rbp]
	movapd	xmm0, xmm5
	movsd	xmm2, QWORD PTR -48[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	movapd	xmm6, xmm0
	subsd	xmm6, xmm1
	movsd	QWORD PTR -80[rbp], xmm6
	movsd	xmm1, QWORD PTR -24[rbp]
	movsd	xmm0, QWORD PTR .LC7[rip]
	mulsd	xmm0, xmm1
	movapd	xmm7, xmm0
	addsd	xmm7, QWORD PTR -56[rbp]
	movq	rax, xmm7
	movsd	xmm0, QWORD PTR .LC4[rip]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm3, rax
	mulsd	xmm3, QWORD PTR -16[rbp]
	movapd	xmm0, xmm3
	movsd	xmm2, QWORD PTR -16[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm2, xmm1
	movapd	xmm1, xmm0
	subsd	xmm1, xmm2
	movsd	xmm0, QWORD PTR .LC9[rip]
	mulsd	xmm0, xmm1
	movapd	xmm5, xmm0
	addsd	xmm5, QWORD PTR -80[rbp]
	movsd	QWORD PTR -80[rbp], xmm5
	movsd	xmm0, QWORD PTR -56[rbp]
	movapd	xmm7, xmm0
	addsd	xmm7, QWORD PTR -24[rbp]
	movq	rax, xmm7
	movsd	xmm0, QWORD PTR .LC4[rip]
	movapd	xmm1, xmm0
	movq	xmm0, rax
	call	pow@PLT
	movq	rax, xmm0
	movq	xmm6, rax
	mulsd	xmm6, QWORD PTR -8[rbp]
	movapd	xmm0, xmm6
	movsd	xmm2, QWORD PTR -8[rbp]
	movsd	xmm1, QWORD PTR .LC5[rip]
	mulsd	xmm1, xmm2
	subsd	xmm0, xmm1
	addsd	xmm0, QWORD PTR -80[rbp]
	mulsd	xmm0, QWORD PTR -72[rbp]
	movsd	xmm1, QWORD PTR -48[rbp]
	addsd	xmm0, xmm1
	movsd	QWORD PTR -40[rbp], xmm0
	movsd	xmm0, QWORD PTR -40[rbp]
	movsd	QWORD PTR -48[rbp], xmm0
	movsd	xmm0, QWORD PTR -56[rbp]
	addsd	xmm0, QWORD PTR -24[rbp]
	movsd	QWORD PTR -56[rbp], xmm0
.L17:
	movsd	xmm1, QWORD PTR -24[rbp]
	movsd	xmm0, QWORD PTR .LC6[rip]
	addsd	xmm0, xmm1
	comisd	xmm0, QWORD PTR -56[rbp]
	jnb	.L18
	movsd	xmm0, QWORD PTR -40[rbp]
	movq	rax, xmm0
	movq	xmm0, rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE11:
	.size	RK, .-RK
	.section	.rodata
	.align 8
.LC2:
	.long	0
	.long	1072693248
	.align 8
.LC3:
	.long	1202590843
	.long	1065646817
	.align 8
.LC4:
	.long	0
	.long	1074266112
	.align 8
.LC5:
	.long	0
	.long	1073217536
	.align 8
.LC6:
	.long	0
	.long	1073741824
	.align 8
.LC7:
	.long	0
	.long	1071644672
	.align 8
.LC8:
	.long	0
	.long	1075314688
	.align 8
.LC9:
	.long	0
	.long	1074790400
	.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	"466851.c"
	.text
	.align	2
	.global	main
	.syntax unified
	.arm
	.fpu softvfp
	.type	main, %function
main:
	@ args = 0, pretend = 0, frame = 0
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{fp, lr}
	add	fp, sp, #4
	bl	print
	mov	r3, #0
	mov	r0, r3
	pop	{fp, pc}
	.size	main, .-main
	.section	.rodata
	.align	2
.LC0:
	.ascii	"\012Euler: %lf\012\012Midpoint: %lf\012\012Runge-Ku"
	.ascii	"tta: %lf\012\012Fourth-order Runge-Kutta: %lf\012\012"
	.ascii	"\000"
	.text
	.align	2
	.global	print
	.syntax unified
	.arm
	.fpu softvfp
	.type	print, %function
print:
	@ args = 0, pretend = 0, frame = 0
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, r9, fp, lr}
	add	fp, sp, #28
	sub	sp, sp, #24
	bl	Euler
	mov	r8, r0
	mov	r9, r1
	bl	midpoint
	mov	r4, r0
	mov	r5, r1
	bl	RK
	mov	r6, r0
	mov	r7, r1
	bl	heun
	mov	r2, r0
	mov	r3, r1
	str	r2, [sp, #16]
	str	r3, [sp, #20]
	str	r6, [sp, #8]
	str	r7, [sp, #12]
	stm	sp, {r4-r5}
	mov	r2, r8
	mov	r3, r9
	ldr	r0, .L4
	bl	printf
	nop
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
.L5:
	.align	2
.L4:
	.word	.LC0
	.size	print, .-print
	.global	__aeabi_dmul
	.global	__aeabi_dsub
	.global	__aeabi_dadd
	.global	__aeabi_dcmple
	.align	2
	.global	Euler
	.syntax unified
	.arm
	.fpu softvfp
	.type	Euler, %function
Euler:
	@ 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, #40
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	mov	r2, #0
	ldr	r3, .L10
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-28]
	str	r3, [fp, #-24]
	ldr	r2, .L10+4
	ldr	r3, .L10+8
	str	r2, [fp, #-20]
	str	r3, [fp, #-16]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	b	.L7
.L8:
	mov	r2, #0
	ldr	r3, .L10+12
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L10+16
	sub	r1, fp, #44
	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_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	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}
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	sub	r3, fp, #20
	ldmia	r3, {r2-r3}
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
.L7:
	mov	r2, #0
	mov	r3, #1073741824
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmple
	mov	r3, r0
	cmp	r3, #0
	bne	.L8
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	mov	r0, r2
	mov	r1, r3
	sub	sp, fp, #12
	@ sp needed
	pop	{r4, r5, fp, pc}
.L11:
	.align	2
.L10:
	.word	1072693248
	.word	1202590843
	.word	1065646817
	.word	1074266112
	.word	1073217536
	.size	Euler, .-Euler
	.align	2
	.global	midpoint
	.syntax unified
	.arm
	.fpu softvfp
	.type	midpoint, %function
midpoint:
	@ args = 0, pretend = 0, frame = 40
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, r9, fp, lr}
	add	fp, sp, #28
	sub	sp, sp, #40
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	mov	r2, #0
	ldr	r3, .L16
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	ldr	r2, .L16+4
	ldr	r3, .L16+8
	str	r2, [fp, #-36]
	str	r3, [fp, #-32]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	b	.L13
.L14:
	mov	r2, #0
	ldr	r3, .L16+12
	sub	r1, fp, #36
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	mov	r2, #0
	ldr	r3, .L16+16
	bl	pow
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L16+12
	sub	r1, fp, #36
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	mov	r2, #0
	ldr	r3, .L16+16
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r8, r2
	mov	r9, r3
	mov	r2, #0
	ldr	r3, .L16+20
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r8
	mov	r1, r9
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	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
	mov	r2, #0
	ldr	r3, .L16+20
	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_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L16+12
	sub	r1, fp, #36
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	mov	r2, #0
	ldr	r3, .L16+16
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r8, r2
	mov	r9, r3
	mov	r2, #0
	ldr	r3, .L16+20
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r8
	mov	r1, r9
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	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, #36
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #60
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	sub	r3, fp, #36
	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]
.L13:
	mov	r2, #0
	mov	r3, #1073741824
	sub	r1, fp, #36
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmple
	mov	r3, r0
	cmp	r3, #0
	bne	.L14
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	mov	r0, r2
	mov	r1, r3
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
.L17:
	.align	2
.L16:
	.word	1072693248
	.word	1202590843
	.word	1065646817
	.word	1071644672
	.word	1074266112
	.word	1073217536
	.size	midpoint, .-midpoint
	.align	2
	.global	heun
	.syntax unified
	.arm
	.fpu softvfp
	.type	heun, %function
heun:
	@ args = 0, pretend = 0, frame = 48
	@ frame_needed = 1, uses_anonymous_args = 0
	push	{r4, r5, r6, r7, r8, r9, fp, lr}
	add	fp, sp, #28
	sub	sp, sp, #48
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	mov	r2, #0
	ldr	r3, .L22
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	ldr	r2, .L22+4
	ldr	r3, .L22+8
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	b	.L19
.L20:
	mov	r2, #0
	ldr	r3, .L22+12
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L22+16
	sub	r1, fp, #68
	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, #44
	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, #-36]
	str	r3, [fp, #-32]
	mov	r2, #0
	ldr	r3, .L22+20
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L22+12
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	mov	r2, #0
	ldr	r3, .L22+16
	sub	r1, fp, #68
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	mov	r2, #0
	ldr	r3, .L22+12
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r8, r2
	mov	r9, r3
	mov	r2, #0
	ldr	r3, .L22+16
	sub	r1, fp, #36
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r8
	mov	r1, r9
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	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]
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
.L19:
	mov	r2, #0
	mov	r3, #1073741824
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmple
	mov	r3, r0
	cmp	r3, #0
	bne	.L20
	sub	r3, fp, #60
	ldmia	r3, {r2-r3}
	mov	r0, r2
	mov	r1, r3
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
.L23:
	.align	2
.L22:
	.word	1072693248
	.word	1202590843
	.word	1065646817
	.word	1074266112
	.word	1073217536
	.word	1071644672
	.size	heun, .-heun
	.global	__aeabi_ddiv
	.align	2
	.global	RK
	.syntax unified
	.arm
	.fpu softvfp
	.type	RK, %function
RK:
	@ args = 0, 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, #56
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
	mov	r2, #0
	ldr	r3, .L28
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-60]
	str	r3, [fp, #-56]
	ldr	r2, .L28+4
	ldr	r3, .L28+8
	str	r2, [fp, #-52]
	str	r3, [fp, #-48]
	mov	r2, #0
	mov	r3, #0
	str	r2, [fp, #-84]
	str	r3, [fp, #-80]
	b	.L25
.L26:
	mov	r2, #0
	ldr	r3, .L28+12
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L28+16
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	mov	r2, #0
	ldr	r3, .L28+20
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-44]
	str	r3, [fp, #-40]
	mov	r2, #0
	ldr	r3, .L28+12
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	mov	r2, #0
	ldr	r3, .L28+16
	bl	pow
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L28+20
	sub	r1, fp, #44
	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
	mov	r2, r0
	mov	r3, r1
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L28+16
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	mov	r2, #0
	ldr	r3, .L28+20
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	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, #52
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-36]
	str	r3, [fp, #-32]
	mov	r2, #0
	ldr	r3, .L28+24
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_ddiv
	mov	r2, r0
	mov	r3, r1
	mov	r4, r2
	mov	r5, r3
	mov	r2, #0
	ldr	r3, .L28+16
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	bl	pow
	sub	r3, fp, #76
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	mov	r2, #0
	ldr	r3, .L28+20
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	mov	r2, #0
	ldr	r3, .L28+12
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	sub	r3, fp, #84
	ldmia	r3, {r2-r3}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	mov	r2, #0
	ldr	r3, .L28+16
	bl	pow
	sub	r3, fp, #44
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r8, r2
	mov	r9, r3
	mov	r2, #0
	ldr	r3, .L28+20
	sub	r1, fp, #44
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r8
	mov	r1, r9
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	mov	r2, #0
	ldr	r3, .L28+28
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r6, r2
	mov	r7, r3
	sub	r3, fp, #52
	ldmia	r3, {r2-r3}
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r2
	mov	r1, r3
	mov	r2, #0
	ldr	r3, .L28+16
	bl	pow
	sub	r3, fp, #36
	ldmia	r3, {r2-r3}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r8, r2
	mov	r9, r3
	mov	r2, #0
	ldr	r3, .L28+20
	sub	r1, fp, #36
	ldmia	r1, {r0-r1}
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	mov	r0, r8
	mov	r1, r9
	bl	__aeabi_dsub
	mov	r2, r0
	mov	r3, r1
	mov	r0, r6
	mov	r1, r7
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	mov	r0, r4
	mov	r1, r5
	bl	__aeabi_dmul
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #76
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	str	r2, [fp, #-68]
	str	r3, [fp, #-64]
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	str	r2, [fp, #-76]
	str	r3, [fp, #-72]
	sub	r3, fp, #52
	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]
.L25:
	mov	r2, #0
	mov	r3, #1073741824
	sub	r1, fp, #52
	ldmia	r1, {r0-r1}
	bl	__aeabi_dadd
	mov	r2, r0
	mov	r3, r1
	sub	r1, fp, #84
	ldmia	r1, {r0-r1}
	bl	__aeabi_dcmple
	mov	r3, r0
	cmp	r3, #0
	bne	.L26
	sub	r3, fp, #68
	ldmia	r3, {r2-r3}
	mov	r0, r2
	mov	r1, r3
	sub	sp, fp, #28
	@ sp needed
	pop	{r4, r5, r6, r7, r8, r9, fp, pc}
.L29:
	.align	2
.L28:
	.word	1072693248
	.word	1202590843
	.word	1065646817
	.word	1071644672
	.word	1074266112
	.word	1073217536
	.word	1075314688
	.word	1074790400
	.size	RK, .-RK
	.ident	"GCC: (Ubuntu 9.4.0-1ubuntu1~20.04.2) 9.4.0"
	.section	.note.GNU-stack,"",%progbits
