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Robin Getz96f10502009-09-24 14:11:24 +00001/*
2 * Copyright 2008 Analog Devices Inc.
3 *
Sonic Zhangde450832012-05-17 14:45:27 +08004 * Licensed under the Clear BSD license or the GPL-2 (or later)
Robin Getz96f10502009-09-24 14:11:24 +00005 */
6
Bernd Schmidt71ae92f2009-01-07 23:14:39 +08007.align 2
8.global ___muldi3;
9.type ___muldi3, STT_FUNC;
10
11#ifdef CONFIG_ARITHMETIC_OPS_L1
12.section .l1.text
13#else
14.text
15#endif
16
17/*
18 R1:R0 * R3:R2
19 = R1.h:R1.l:R0.h:R0.l * R3.h:R3.l:R2.h:R2.l
20[X] = (R1.h * R3.h) * 2^96
21[X] + (R1.h * R3.l + R1.l * R3.h) * 2^80
22[X] + (R1.h * R2.h + R1.l * R3.l + R3.h * R0.h) * 2^64
23[T1] + (R1.h * R2.l + R3.h * R0.l + R1.l * R2.h + R3.l * R0.h) * 2^48
24[T2] + (R1.l * R2.l + R3.l * R0.l + R0.h * R2.h) * 2^32
25[T3] + (R0.l * R2.h + R2.l * R0.h) * 2^16
26[T4] + (R0.l * R2.l)
27
28 We can discard the first three lines marked "X" since we produce
29 only a 64 bit result. So, we need ten 16-bit multiplies.
30
31 Individual mul-acc results:
32[E1] = R1.h * R2.l + R3.h * R0.l + R1.l * R2.h + R3.l * R0.h
33[E2] = R1.l * R2.l + R3.l * R0.l + R0.h * R2.h
34[E3] = R0.l * R2.h + R2.l * R0.h
35[E4] = R0.l * R2.l
36
37 We also need to add high parts from lower-level results to higher ones:
38 E[n]c = E[n] + (E[n+1]c >> 16), where E4c := E4
39
40 One interesting property is that all parts of the result that depend
41 on the sign of the multiplication are discarded. Those would be the
42 multiplications involving R1.h and R3.h, but only the top 16 bit of
43 the 32 bit result depend on the sign, and since R1.h and R3.h only
44 occur in E1, the top half of these results is cut off.
45 So, we can just use FU mode for all of the 16-bit multiplies, and
46 ignore questions of when to use mixed mode. */
47
48___muldi3:
49 /* [SP] technically is part of the caller's frame, but we can
50 use it as scratch space. */
51 A0 = R2.H * R1.L, A1 = R2.L * R1.H (FU) || R3 = [SP + 12]; /* E1 */
52 A0 += R3.H * R0.L, A1 += R3.L * R0.H (FU) || [SP] = R4; /* E1 */
53 A0 += A1; /* E1 */
54 R4 = A0.w;
55 A0 = R0.l * R3.l (FU); /* E2 */
56 A0 += R2.l * R1.l (FU); /* E2 */
57
58 A1 = R2.L * R0.L (FU); /* E4 */
59 R3 = A1.w;
60 A1 = A1 >> 16; /* E3c */
61 A0 += R2.H * R0.H, A1 += R2.L * R0.H (FU); /* E2, E3c */
62 A1 += R0.L * R2.H (FU); /* E3c */
63 R0 = A1.w;
64 A1 = A1 >> 16; /* E2c */
65 A0 += A1; /* E2c */
66 R1 = A0.w;
67
68 /* low(result) = low(E3c):low(E4) */
69 R0 = PACK (R0.l, R3.l);
70 /* high(result) = E2c + (E1 << 16) */
71 R1.h = R1.h + R4.l (NS) || R4 = [SP];
72 RTS;
73
74.size ___muldi3, .-___muldi3