1 |
x |
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N |
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FN |
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START |
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STEP |
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XMIN |
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XSEC |
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... |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 | ##---- Should be DIRECTLY executable !! ----
##-- ==> Define data, use random,
##-- or do help(data=index) for the standard data sets.
## The function is currently defined as
function (x, N, FN, START = c(rep(1, N)), STEP = c(rep(1, N)),
XMIN = c(rep(0, N)), XSEC = c(rep(0, N)), ...)
{
ICOUNT <- 500
REQMIN <- 1e-07
NN <- N + 1
P <- matrix(NA, nrow = N, ncol = NN)
P[, NN] <- START
PBAR <- NA
RCOEFF <- 1
ECOEFF <- 2
CCOEFF <- 0.5
KCOUNT <- ICOUNT
ICOUNT <- 0
DABIT <- 2.04067e-35
BIGNUM <- 1e+38
KONVGE <- 5
XN <- N
DN <- N
Y <- rep(0, NN)
Y[NN] <- FN(x, START, ...)
ICOUNT <- ICOUNT + 1
for (J in 1:N) {
DCHK <- START[J]
START[J] <- DCHK + STEP[J]
for (I in 1:N) {
P[I, J] <- START[I]
}
Y[J] <- FN(x, START, ...)
ICOUNT <- ICOUNT + 1
START[J] <- DCHK
}
I1000 <- T
while (I1000) {
YLO <- Y[1]
YNEWLO <- YLO
ILO <- 1
IHI <- 1
for (I in 2:NN) {
if (Y[I] < YLO) {
YLO <- Y[I]
ILO <- I
}
if (Y[I] > YNEWLO) {
YNEWLO <- Y[I]
IHI <- I
}
}
DCHK <- (YNEWLO + DABIT)/(YLO + DABIT) - 1
if (abs(DCHK) < REQMIN) {
I1000 <- F
next
}
KONVGE <- KONVGE - 1
if (KONVGE == 0) {
KONVGE <- 5
for (I in 1:N) {
COORD1 <- P[I, 1]
COORD2 <- COORD1
for (J in 2:NN) {
if (P[I, J] < COORD1)
COORD1 <- P[I, J]
if (P[I, J] > COORD2)
COORD2 <- P[I, J]
}
DCHK <- (COORD2 + DABIT)/(COORD1 + DABIT) - 1
if (abs(DCHK) > REQMIN)
break
}
}
if (ICOUNT >= KCOUNT) {
I1000 <- F
next
}
for (I in 1:N) {
Z <- 0
Z <- sum(P[I, 1:NN])
Z <- Z - P[I, IHI]
PBAR[I] <- Z/DN
}
PSTAR <- (1 + RCOEFF) * PBAR - RCOEFF * P[, IHI]
YSTAR <- FN(x, PSTAR, ...)
ICOUNT <- ICOUNT + 1
if (YSTAR < YLO && ICOUNT >= KCOUNT) {
P[, IHI] <- PSTAR
Y[IHI] <- YSTAR
next
}
IFLAG <- T
if (YSTAR < YLO) {
P2STAR <- ECOEFF * PSTAR + (1 - ECOEFF) * PBAR
Y2STAR <- FN(x, P2STAR, ...)
ICOUNT <- ICOUNT + 1
if (Y2STAR >= YSTAR) {
P[, IHI] <- PSTAR
Y[IHI] <- YSTAR
next
}
IFLAG <- T
while (YSTAR < Y[IHI]) {
P[, IHI] <- P2STAR
Y[IHI] <- Y2STAR
IFLAG <- F
break
L <- sum(Y[1:NN] > YSTAR)
if (L > 1) {
P[, IHI] <- PSTAR
Y[IHI] <- YSTAR
IFLAG <- T
break
}
if (L > 1)
break
if (L != 0) {
P[1:N, IHI] <- PSTAR[1:N]
Y[IHI] <- YSTAR
}
I1000 <- F
break
if (ICOUNT >= KCOUNT) {
I1000 <- F
next
}
P2STAR[1:N] <- CCOEFF * P[1:N, IHI] + (1 - CCOEFF) *
PBAR[1:N]
Y2STAR <- FN(x, P2STAR, ...)
ICOUNT <- ICOUNT + 1
}
}
if (IFLAG) {
for (J in 1:NN) {
P[, J] = (P[, J] + P[, ILO]) * 0.5
XMIN <- P[, J]
Y[J] <- FN(x, XMIN, ...)
}
ICOUNT <- ICOUNT + NN
if (ICOUNT < KCOUNT)
next
I1000 <- F
next
}
P[1:N, IHI] <- PSTAR[1:N]
Y[IHI] <- YSTAR
}
for (J in 1:NN) {
XMIN[1:N] <- P[1:N, J]
}
Y[J] <- FN(x, XMIN, ...)
YNEWLO <- BIGNUM
for (J in 1:NN) {
if (Y[J] < YNEWLO) {
YNEWLO <- Y[J]
IBEST <- J
}
}
Y[IBEST] <- BIGNUM
YSEC <- BIGNUM
for (J in 1:NN) {
if (Y[J] < YSEC) {
YSEC <- Y[J]
ISEC <- J
}
}
XMIN[1:N] <- P[1:N, IBEST]
XSEC[1:N] <- P[1:N, ISEC]
XMIN
}
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