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153 * and strictly monotone on the interval [<TT>low</tt>, <TT>high</tt>].
155 * [<TT>low</tt>, <TT>high</tt>].
158 public UnaryCRFunction inverseMonotone(CR low, CR high) {
159 return new inverseMonotone_UnaryCRFunction(this, low, high);
164 * The function must be defined on the interval [<TT>low</tt>, <TT>high</tt>],
166 * monotone in the open interval [<TT>low</tt>, <TT>high</tt>].
169 public UnaryCRFunction monotoneDerivative(CR low, CR high) {
170 return new monotoneDerivative_UnaryCRFunction(this, low, high);
285 final CR high[] = new CR[1];
289 // Bound on msd of both f(high) and f(low)
292 // of low - high.
305 low[0] = l; high[0] = h;
308 // Since func is monotone and low < high, the following test
321 max_msd[0] = low[0].abs().max(high[0].abs()).msd();
322 max_arg_prec[0] = high[0].subtract(low[0]).msd() - 4;
324 .divide(high[0].subtract(low[0])).msd();
363 // The scaled values of l and h are strictly between low and high.
379 BigInteger high_appr = high[0].get_appr(working_arg_prec)
581 final CR high[] = new CR[1];
598 low[0] = l; high[0] = h;
605 // ((f_high - f_mid) - (f_mid - f_low))/(high - low)
607 // We add a little slop to err on the high side, since
624 CR right_diff = high[0].subtract(arg);