118 lines
3.4 KiB
C
118 lines
3.4 KiB
C
/* $NetBSD: mra.c,v 1.4 2006/10/09 10:43:01 peter Exp $ */
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/*
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* Copyright (c) 1999 Shin Takemura All rights reserved.
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* Copyright (c) 1999 PocketBSD Project. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*
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*/
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#include <sys/cdefs.h>
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__KERNEL_RCSID(0, "$NetBSD: mra.c,v 1.4 2006/10/09 10:43:01 peter Exp $");
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#include <sys/param.h>
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#include <sys/systm.h>
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extern int mra_Y_AX1_BX2_C(const int *, int,
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const int *, int, const int *, int, int, int,
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int *, int *, int *);
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/*
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* multiple regression analysis
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* Y = AX1 + BX2 + C
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*/
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int
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mra_Y_AX1_BX2_C(const int *y, int ys,
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const int *x1, int x1s, const int *x2, int x2s,
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int n, int scale,
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int *a, int *b, int *c)
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{
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int i;
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int64_t X1a, X2a, Ya;
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int64_t X1X1s, X2X2s, X1X2s;
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int64_t YYs, X1Ys, X2Ys;
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int64_t S11, S22, S12;
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int64_t SYY, S1Y, S2Y;
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int64_t A, B, C, M;
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#define AA(p, s, i) (*((const long *)(((const char *)(p)) + (s) * (i))))
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#define X1(i) AA(x1, x1s, i)
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#define X2(i) AA(x2, x2s, i)
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#define Y(i) AA(y, ys, i)
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/*
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* get avarage and sum
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*/
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X1a = 0; X2a = 0; Ya = 0;
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X1X1s = 0; X2X2s = 0; X1X2s = 0;
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X1Ys = 0; X2Ys = 0; YYs = 0;
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for (i = 0; i < n; i++) {
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X1a += X1(i);
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X2a += X2(i);
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Ya += Y(i);
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X1X1s += X1(i) * X1(i);
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X2X2s += X2(i) * X2(i);
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X1X2s += X1(i) * X2(i);
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X1Ys += X1(i) * Y(i);
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X2Ys += X2(i) * Y(i);
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YYs += Y(i) * Y(i);
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}
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X1a /= n; X2a /= n; Ya /= n;
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S11 = X1X1s - n * X1a * X1a;
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S22 = X2X2s - n * X2a * X2a;
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S12 = X1X2s - n * X1a * X2a;
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SYY = YYs - n * Ya * Ya;
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S1Y = X1Ys - n * X1a * Ya;
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S2Y = X2Ys - n * X2a * Ya;
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#if 0
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printf("X1a=%d X2a=%d Ya=%d\n", (int)X1a, (int)X2a, (int)Ya);
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printf("X1X1s=%d X2X2s=%d X1X2s=%d\n", (int)X1X1s, (int)X2X2s, (int)X1X2s);
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printf("X1Ys=%d X2Ys=%d YYs=%d\n", (int)X1Ys, (int)X2Ys, (int)YYs);
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printf("S11=%d S22=%d S12=%d\n", (int)S11, (int)S22, (int)S12);
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printf("SYY=%d S1Y=%d S2Y=%d\n", (int)SYY, (int)S1Y, (int)S2Y);
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#endif
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M = (S11 * S22 - S12 * S12);
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if (M == 0) {
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/* error */
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return -1;
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}
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A = (S1Y * S22 - S2Y * S12) * scale / M;
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B = (S2Y * S11 - S1Y * S12) * scale / M;
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C = Ya - (A * X1a + B * X2a) / scale;
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#if 0
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printf("A=%d B=%d C=%d\n", (int)A, (int)B, (int)C);
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#endif
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*a = A;
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*b = B;
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*c = C;
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return (0);
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}
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