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n__trajectory_8h
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Module AABB3D
Module ACCEPT_POOL
Module ALLEGRO4
Module ALLEGRO5
Module ANIM_LIB
Module ASTAR
Module ATLAS_LIB
Module AVRO
Module CLOCK_SYNC
Module COMMONS
Module CONFIGFILE
Module CYPHER_BASE64
Module CYPHER_VIGENERE
Module DEAD_RECKONING
Module ENUMS
Module EXCEPTIONS
Module GAME_ENV
Module GIT
Module GUI
Module HASH_TABLE
Module ISOMETRIC_ENGINE
Module LIST
Module LOG
Module LOGNODUP
Module LZ4
Module NETWORKING
Module NETWORK_MSG
Module N_COOKIES
Module N_DIFF
Module N_DIGEST
Module N_DISK_CACHE
Module N_DNS
Module N_ECC
Module N_ENTROPY
Module N_FILES
Module N_FLUIDS
Module N_GUI_COLOR
Module N_GUI_COLORWHEEL
Module N_GUI_CURVE
Module N_GUI_GRID
Module N_GUI_POPUP
Module N_HEX
Module N_HTTP3
Module N_HTTP_COOKIE
Module N_HTTP_FORM
Module N_HTTP_MIME
Module N_HTTP_REQ
Module N_HTTP_RESP
Module N_HTTP_ROUTER
Module N_HTTP_SERVER
Module N_ICC
Module N_JSON
Module N_KAFKA
Module N_LINALG
Module N_MODULE
Module N_OPENSSL_COMPAT
Module N_PRETTY
Module N_PTH
Module N_QUERY
Module N_RANDOM
Module N_SHA256
Module N_STR
Module N_TIFF
Module N_TIME
Module N_USER
Module N_X509
Module N_ZIP
Module PARTICLES
Module PCRE
Module PHYSICS
Module SIGNALS
Module STACK
Module THREADS
Module TRAJECTORY
Module TREE
Module ZLIB
Modules
Pages
Struct A4_BMP
Struct A4_TIMER
Struct AABB3D
Struct ANIM_DATA
Struct ANIM_FRAME
Struct ANIM_GFX
Struct ANIM_LIB
Struct ASTAR_BOX
Struct ASTAR_CELL
Struct ASTAR_GRID
Struct ASTAR_HEAP
Struct ASTAR_HEAP_NODE
Struct ASTAR_NODE
Struct ASTAR_PATH
Struct AVRO_FIELD
Struct AVRO_READER
Struct AVRO_SCHEMA
Struct BITMAP
Struct CALLBACK_DATA
Struct CA_CTX
Struct CLIENT_JOB
Struct CLIENT_STATE
Struct CONFIG_FILE
Struct CONFIG_FILE_SECTION
Struct CYPHER_PARAM
Struct DATA
Struct DEMO_PANEL
Struct DICTIONARY_DEFINITION
Struct DICTIONARY_ENTRY
Struct DIFF_OUT
Struct DIFF_TEXT
Struct DRAW_STATE
Struct DR_ENTITY
Struct DR_STATE
Struct DR_VEC3
Struct ExceptionContextList
Struct FONT
Struct GAME_ENV
Struct H2BUF
Struct H2_DYN_ENTRY
Struct H2_STREAM
Struct HASH_NODE
Struct HASH_TABLE
Struct ISO_DRAW_ENTRY
Struct ISO_MAP
Struct ISO_PROJECTION
Struct ISO_TILE_SEGMENT
Struct ISO_TILE_SEGMENTS
Struct ISO_VISIBLE_EDGES
Struct JS_STATE
Struct LEX_ITEM
Struct LIST
Struct LIST_NODE
Struct LOG_LEVELS
Struct LexMenu
Struct MEMBER
Struct MIDI
Struct NESTED
Struct NETWORK
Struct NETWORK_HTTP_INFO
Struct NETWORK_POOL
Struct NETWORK_SSL_THREAD_PARAMS
Struct NETW_ACCEPT_POOL
Struct NETW_ACCEPT_POOL_STATS
Struct NETW_MSG
Struct NETW_SNI_ARG
Struct NODE_DATA
Struct N_ATLAS
Struct N_ATLAS_PAGE
Struct N_CLOCK_SYNC
Struct N_COOKIE
Struct N_COOKIE_JAR
Struct N_DIFF_LINE
Struct N_DIFF_RESULT
Struct N_DISK_CACHE
Struct N_ENTROPY_BIT
Struct N_ENTROPY_POS
Struct N_FILE_INFO
Struct N_FLUID
Struct N_FLUID_THREAD_PARAMS
Struct N_FORM_FIELD
Struct N_GIT_COMMIT_INFO
Struct N_GIT_REMOTE_AUTH
Struct N_GIT_REPO
Struct N_GIT_STATUS_ENTRY
Struct N_GUI_BUTTON_DATA
Struct N_GUI_CHECKBOX_DATA
Struct N_GUI_COLOR_PICKER
Struct N_GUI_COMBOBOX_DATA
Struct N_GUI_CTX
Struct N_GUI_CUSTOM_DATA
Struct N_GUI_DATAGRID_COL
Struct N_GUI_DATAGRID_DATA
Struct N_GUI_DROPMENU_DATA
Struct N_GUI_DROPMENU_ENTRY
Struct N_GUI_GRID_CALLBACKS
Struct N_GUI_HEXVIEW_DATA
Struct N_GUI_IMAGE_DATA
Struct N_GUI_KVTABLE
Struct N_GUI_KV_CONTENT
Struct N_GUI_KV_ROW
Struct N_GUI_LABEL_DATA
Struct N_GUI_LISTBOX_DATA
Struct N_GUI_LISTITEM
Struct N_GUI_MARKDOWNVIEW_DATA
Struct N_GUI_MD_FONTS
Struct N_GUI_MD_STYLE
Struct N_GUI_MEAS_ENTRY
Struct N_GUI_MOUSE_EVENT
Struct N_GUI_PENDING_GEOM
Struct N_GUI_PENDING_WIDGET
Struct N_GUI_POPUP
Struct N_GUI_PROGRESSBAR_DATA
Struct N_GUI_RADIOLIST_DATA
Struct N_GUI_SB_TRACK
Struct N_GUI_SCROLLBAR_DATA
Struct N_GUI_SECTION
Struct N_GUI_SECTIONLIST
Struct N_GUI_SLIDER_DATA
Struct N_GUI_SPLITPANE_DATA
Struct N_GUI_STYLE
Struct N_GUI_SUGGEST_SINK
Struct N_GUI_SYNTAXVIEW_DATA
Struct N_GUI_TAB_PANEL
Struct N_GUI_TB_BUTTONS
Struct N_GUI_TEXTAREA_DATA
Struct N_GUI_TEXT_DIMS
Struct N_GUI_THEME
Struct N_GUI_TREE
Struct N_GUI_TREE_NODE
Struct N_GUI_TREE_STATE
Struct N_GUI_WIDGET
Struct N_GUI_WINDOW
Struct N_H2_FRAME
Struct N_H2_HEADER
Struct N_H2_HPACK
Struct N_H2_REQUEST
Struct N_H2_SERVER
Struct N_H2_SETTING
Struct N_HTML_ATTR_
Struct N_HTML_FORM
Struct N_HTML_TAG_
Struct N_HTTP3_RESPONSE
Struct N_HTTP_FIELD
Struct N_HTTP_FORM
Struct N_HTTP_FORM_MULTIPART
Struct N_HTTP_FORM_PART
Struct N_HTTP_MULTIPART_PART
Struct N_HTTP_REQUEST
Struct N_HTTP_RESP
Struct N_HTTP_RESPONSE
Struct N_HTTP_SERVER
Struct N_HTTP_SERVER_CONFIG
Struct N_HTTP_SERVER_REQUEST
Struct N_HTTP_SERVER_STATS
Struct N_HTTP_SET_COOKIE
Struct N_HTTP_STREAM
Struct N_ISO_CAMERA
Struct N_ISO_OBJECT
Struct N_KAFKA
Struct N_KAFKA_EVENT
Struct N_MOCK_SERVER
Struct N_MODULE
Struct N_PARALLEL_SLICE
Struct N_PARALLEL_TEAM
Struct N_PARALLEL_WORKER
Struct N_PCRE
Struct N_PROXY_CFG
Struct N_PTH
Struct N_PTH_TENSOR
Struct N_QUERY
Struct N_ROUTE
Struct N_ROUTER
Struct N_ROUTE_MATCH
Struct N_SHA256
Struct N_SOCKET
Struct N_SPAWN_PIPE
Struct N_SSE_CONN
Struct N_SSE_EVENT
Struct N_STR
Struct N_TIFF
Struct N_TIFF_ENTRY
Struct N_TIME
Struct N_URL
Struct N_URL_PARAM
Struct N_USER
Struct N_USERLIST
Struct N_WS_CONN
Struct N_WS_FRAME
Struct N_WS_MESSAGE
Struct N_ZIP_MEMBER
Struct OCTREE
Struct OCTREE_NODE
Struct PARSER
Struct PARTICLE
Struct PARTICLE_EMITTER
Struct PARTICLE_SYSTEM
Struct PEER
Struct PHYSICS
Struct PK_OBJ
Struct PK_VM
Struct POINT2D
Struct POINT3D
Struct PRETTY_OUT
Struct QNODE
Struct QUADTREE
Struct QUADTREE_NODE
Struct REC
Struct RGB
Struct SAMPLE
Struct SEEN
Struct SHARER
Struct SRV
Struct SRV_ARG
Struct STACK
Struct STACK_ITEM
Struct SYNTAX_RUN
Struct THREAD_POOL
Struct THREAD_POOL_NODE
Struct THREAD_WAITING_PROC
Struct TRAJECTORY
Struct TRAJECTORY_POINT
Struct TREE
Struct TREE_NODE
Struct TS_LOG
Struct WAYPOINT3D
Struct WORKER_ARG
Struct ZIP_SINK
Struct _N_DC_ENTRY
Struct _N_DC_GROUP_ENTRY
Struct _N_GUI_COLORWHEEL
Struct _N_GUI_COLORWHEEL_BLOCK
Struct _N_GUI_COLORWHEEL_MOUSE
Struct _N_GUI_CURVE
Struct _N_GUI_CURVE_BLOCK
Struct _N_GUI_CURVE_MOUSE
Struct _N_GUI_GRID
Struct _N_GUI_POPUP_ENTRY
Struct _N_GUI_POPUP_LEVEL
Struct _N_GUI_SB_SKIN
Struct _N_GUI_TA_STEP
Struct _N_GUI_THUMB
Struct _N_GUI_WRAP_ACC
Struct _compiled
Struct _conn
Struct _ip_slot
Struct _mp_param
Struct _n_civil
Struct _seg
Struct client
Struct collector
Struct date_vector
Struct md_atom
Struct md_cells
Struct md_hit
Struct md_line_ctx
Struct mline
Struct n_http_req_header
Struct n_http_req_limits
Struct n_http_request
Struct n_markdown_block
Struct n_markdown_doc
Struct n_markdown_inline
Struct n_markdown_span
Struct n_reactor_stats
Struct n_url_safe
Struct n_url_safe_head
Struct n_wrap_item
Struct producer_state
Struct rects
Struct reply
Struct runner
Struct sink
Struct tbuf
Struct wrap_hit
Struct wrap_span
Structures
Union COORD_VALUE
Union HASH_DATA
Union NODE_DATA_TYPES
Union STACK_DATA
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ex_accept_pool_client_8c example
ex_accept_pool_server_8c example
ex_allegro_4_8c example
ex_atlas_8c example
ex_base64_8c example
ex_clock_sync_8c example
ex_common_8c example
ex_configfile_8c example
ex_cookies_8c example
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n__trajectory_8h
gullradriel edited this page 2026-10-09 00:55:18 +02:00
Table of Contents
include/nilorea/n_trajectory.h
Trajectory interpolation and dead reckoning for 2D/3D networked simulations. More...
Structures
| Name | |
|---|---|
| struct | TRAJECTORY_POINT a single waypoint in a multi-point trajectory path |
| struct | TRAJECTORY structure holding all data for trajectory interpolation / extrapolation |
Detailed Description
Trajectory interpolation and dead reckoning for 2D/3D networked simulations.
Author: Castagnier Mickael
Version: 1.0
Date: 28/02/2026
Implementation of the "Defeating Lag With Cubic Splines" approach (GameDev.net Article 914 by Nicholas Van Caldwell) combined with cubic Hermite spline interpolation and quadratic extrapolation.
The API provides smooth movement prediction for networked games and local simulations by:
- Using cubic Hermite spline interpolation between two known states (matching position and velocity at both endpoints)
- Quadratic extrapolation beyond the known interval using velocity and acceleration
- Smooth orientation interpolation using the same Hermite approach
Works for both 2D (xy) and 3D (xyz) coordinate systems.
Time units are user-defined: as long as position, speed, acceleration, and time values use consistent units, the math works. For example:
- position in pixels, speed in pixels/sec, accel in pixels/sec^2, time in sec
- position in meters, speed in m/usec, accel in m/usec^2, time in usec
Source code
/*
* Nilorea Library
* Copyright (C) 2005-2026 Castagnier Mickael
*
* 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.
*
* SPDX-License-Identifier: Apache-2.0
*/
#ifndef _N_TRAJECTORY_HEADER
#define _N_TRAJECTORY_HEADER
#ifdef __cplusplus
extern "C" {
#endif
#include "n_3d.h"
#define TRAJECTORY_INTERP 1
#define TRAJECTORY_EXTRAP 2
#define TRAJECTORY_BEFORE 3
#define TRAJECTORY_2D 2
#define TRAJECTORY_3D 3
typedef struct TRAJECTORY_POINT {
PHYSICS state;
double time_val;
} TRAJECTORY_POINT;
typedef struct TRAJECTORY {
PHYSICS start;
PHYSICS end;
PHYSICS current;
double start_time;
double end_time;
double duration;
double current_time;
VECTOR3D m0;
VECTOR3D m1;
VECTOR3D m0_orient;
VECTOR3D m1_orient;
TRAJECTORY_POINT* points;
int nb_points;
int nb_points_allocated;
int current_segment;
int nb_components;
int mode;
} TRAJECTORY;
TRAJECTORY* trajectory_new(int nb_components);
void trajectory_delete(TRAJECTORY** traj);
int trajectory_set_start(TRAJECTORY* traj, const PHYSICS* state, double time_val);
int trajectory_set_end(TRAJECTORY* traj, const PHYSICS* state, double time_val);
int trajectory_update(TRAJECTORY* traj, const PHYSICS* new_end, double time_val);
int trajectory_compute(TRAJECTORY* traj, double time_val);
int trajectory_get_position(TRAJECTORY* traj, double time_val, VECTOR3D out);
int trajectory_get_speed(TRAJECTORY* traj, double time_val, VECTOR3D out);
int trajectory_get_acceleration(TRAJECTORY* traj, double time_val, VECTOR3D out);
int trajectory_get_orientation(TRAJECTORY* traj, double time_val, VECTOR3D out);
int trajectory_add_point(TRAJECTORY* traj, const PHYSICS* state, double time_val);
int trajectory_clear_points(TRAJECTORY* traj);
double trajectory_distance(TRAJECTORY* traj, double time_a, double time_b, int steps);
#ifdef __cplusplus
}
#endif
#endif // header guard
Modules
- AABB3D
- ACCEPT_POOL
- ALLEGRO4
- ALLEGRO5
- ANIM_LIB
- ASTAR
- ATLAS_LIB
- AVRO
- CLOCK_SYNC
- COMMONS
- CONFIGFILE
- CYPHER_BASE64
- CYPHER_VIGENERE
- DEAD_RECKONING
- ENUMS
- EXCEPTIONS
- GAME_ENV
- GIT
- GUI
- HASH_TABLE
- ISOMETRIC_ENGINE
- LIST
- LOG
- LOGNODUP
- LZ4
- NETWORKING
- NETWORK_MSG
- N_COOKIES
- N_DIFF
- N_DIGEST
- N_DISK_CACHE
- N_DNS
- N_ECC
- N_ENTROPY
- N_FILES
- N_FLUIDS
- N_GUI_COLOR
- N_GUI_COLORWHEEL
- N_GUI_CURVE
- N_GUI_GRID
- N_GUI_POPUP
- N_HEX
- N_HTTP3
- N_HTTP_COOKIE
- N_HTTP_FORM
- N_HTTP_MIME
- N_HTTP_REQ
- N_HTTP_RESP
- N_HTTP_ROUTER
- N_HTTP_SERVER
- N_ICC
- N_JSON
- N_KAFKA
- N_LINALG
- N_MODULE
- N_OPENSSL_COMPAT
- N_PRETTY
- N_PTH
- N_QUERY
- N_RANDOM
- N_SHA256
- N_STR
- N_TIFF
- N_TIME
- N_USER
- N_X509
- N_ZIP
- PARTICLES
- PCRE
- PHYSICS
- SIGNALS
- STACK
- THREADS
- TRAJECTORY
- TREE
- ZLIB