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This file is part of Logtalk https://logtalk.org/ SPDX-FileCopyrightText: 1998-2023 Paulo Moura <pmoura@logtalk.org> SPDX-License-Identifier: Apache-2.0

Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at

http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.

% start by loading the loading the example:

| ?- logtalk_load(functions(loader)). ...

% find the roots of some functions using each one of provided methods:

| ?- bisection::find_root(f1, 1.0, 2.3, 1.0e-15, Zero).

Zero = 2.0 yes

| ?- newton::find_root(f1, 1.0, 2.3, 1.0e-15, Zero).

Zero = 2.0 yes | ?- muller::find_root(f1, 1.0, 2.3, 1.0e-15, Zero).

Zero = 2.0 yes

| ?- bisection::find_root(f2, 1.0, 1.3, 1.0e-15, Zero).

Zero = 1.25809265664599 yes

| ?- newton::find_root(f2, 1.0, 1.3, 1.0e-15, Zero).

Zero = 1.25809265664599 yes

| ?- muller::find_root(f2, 1.0, 1.3, 1.0e-15, Zero).

Zero = 1.25809265664599 yes

| ?- bisection::find_root(humps, -1.0, 2.0, 1.0e-15, Zero).

no

| ?- muller::find_root(humps, -1.0, 2.0, 1.0e-15, Zero).

Zero = 1.29954968258 yes

| ?- newton::find_root(humps, -1.0, 2.0, 1.0e-15, Zero). ERROR: is/2: Arithmetic: evaluation error: `float_overflow'

% find the roots of some functions running all methods at once using multi-threading:

| ?- function_root::find_root(f1, 1.0, 2.3, 1.0e-15, Zero, Method).

Zero = 2.0 Method = bisection yes

| ?- function_root::find_root(f2, 1.0, 1.3, 1.0e-15, Zero, Method).

Zero = 1.25809265664599 Method = newton yes

| ?- function_root::find_root(f3, 0.0, 3.0, 1.0e-15, Zero, Method).

Zero = 1.4142135623731 Method = newton yes

| ?- function_root::find_root(f4, -1.0, 2.0, 1.0e-15, Zero, Method).

Zero = -8.88178419700125e-16 Method = bisection yes

| ?- function_root::find_root(humps, -1.0, 2.0, 1.0e-15, Zero, Method).

Zero = 1.29954968258482 Method = muller yes