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mgraph.cpp
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mgraph.cpp
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/*
Copyright (C) 2018 BrerDawg
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
//mgraph.cpp
//v1.07 mgraph 30-may-2017
//v1.05 surface3d 05-jan-2018
//v1.06 23-jan-2018 //added: 2 structs to help remove global dependancies: mg_colref, mg_col_tag
//v1.07 03-feb-2018 //added user draw obj ordering, and: en_dobt_polypoints, en_dobt_polyline, en_dobt_polygon
//also now allows user draw obj to be specified in trace 'float' coords, when 'use_scale_x/use_scale_y' are set to a trace id
//v1.08 01-jul-2018 //moded: get_mouse_vals_internal(), added: get_hover_idx(), get_hover_value_using_id(), get_left_edge_sample_idx(), get_right_edge_sample_idx(), get_trace_vis_dimensions(), get_background_dimensions()
//added: zoom_h(), zoom_h_all_traces(), center_on_sample(), set_keyup_cb(), deselect_sample(), deselect_all_samples(),
//added: adj_posx_by(), adj_posx_all_traces_by(), adj_posy_by(), adj_posy_all_traces_by(), adj_scalex_by(), adj_scalex_all_traces_by(), adj_scaley_by(), adj_scaley_all_traces_by(),
//added: set_posx(), set_posx_all_traces(), set_posy(), set_posy_all_traces(), set_scalex(), set_scalex_all_traces(), set_scaley(), set_scaley_all_traces(),
//added: get_posx(), get_posy(), get_scalex(), get_scaley(), get_mousex_sample_boundary_idx(), get_mousex_sample_boundary_idx_using_id()
//renamed get_sample_count_for_trc() [was: 'get_sample_count()'], added: get_sample_count_using_id()
//added: get_mouse_pixel_position_on_background(), get_mouse_pixel_position_on_trace(), get_mouse_position_relative_to_trc(), set_left_edge_sample_idx()
//moded: calc_draw_coords_internal(), added: calc_draw_coords_internal, calc_draw_coords_for_trc_sample()
//added: rect_clip()
//added: 'sample_rect_hints_double_click' for all rect to be displayed, set their col with 'sample_rect_hints_col'
//added: congested sample point rect detection/clearing code, see: 'sample_rect_hints', 'sample_rect_hints_distancex', 'sample_rect_hints_distancey', 'sample_rect_hints_col'
//added: 'single_sel_col'
//added: multiple sample selection ability using: 'pnt[xx].sel', see: 'group_sel_trace_col', 'group_sel_rect_col'
//added: set_mouseenter_cb(), set_mouseleave_cb(), and 'border_col', so border col can be change when mouse enters/leaves control
//added: en_dobt_polygonf, and proper line and polygon clipping algorithms for user draw objs, see: 'line_clip()', 'clip_poly()'
//added: text justification for user draw objs, see: 'en_mgraph_text_justify' and 'st_mgraph_draw_obj_tag.justify'
//added: get_selected_trace_and_sample_indexes()
//added: 'graph_id' allows a unique public id to be assigned
//added: get_trace_offsxy(), get_background_offsxy(), clip_draw_point(),resize()
//further mods, e.g: trace clipping, see: 'get_trace_to_plot_factors()', see: trace_tag.plot_offsx/y
//added: 'fast_mgraph' class, see at bottom, there's rem'd out example code for usage: 'test_fast_mgraph()'
//v1.09 21-jul-2018 //minor mod to: 'mgraph.h' for 64 bit
//added: back_fill()
//v1.10 31-aug-2018 //moded 'fast_graph': set default 'sig_dig' from 2 to 4, added call to 'update_fg_user_obj(ii)' when cursor keys move the sel sample,
//improved sample delta display operations
//v1.11 03-sep-2018 //moded 'fast_graph': fixed 'fast_graph' multi graph trace label not displaying
//v1.12 08-oct-2018 //moded 'fast_graph': removed all 'pass-by reference' vectors (as in: 'vector<double> &vy1' ) as 'back_fill()' was modifying them
//casuing problems when vectors are shared between more tham 1 instance of fast_mgraph objs
//v1.13 31-may-2019 //added: mgraph::get_trace_midxy( int idx, double &midx, double &midy );
//added improved" 'get_mouse_position_relative_to_trc_new()'
//for 'fast_mgraph', added (flog10 potting options, see: 'use_logx', 'disp_vals_multiplier_x', 'disp_vals_not_logy', etc
//for 'fast_mgraph', added 'sample_rect_hints_distancex', etc
//v1.14 07-nov-2019 //moded: 'center_on_sample()' for selectect sample to be correctly shown after centering
//v1.15 20-mar-2020 //added: 'fast_mgraph::set_xunits_perpxl()' and 'set_yunits_perpxl()' to change away from auto rescaling (-1)
//added: fast_mgraph::set_left_click_cb()' and 'set_left_click_cb()' and 'set_left_click_cb()'
//v1.16 23-dec-2020 //multiple changes in 'mgraph' and 'fast_graph' to fix zoom bug when 'x' trace did not start at zero (i.e: 'trce[ trc ].minx'!= 0.0),
//it was causing annoying x-axis offset, most changes commented with 'v1.16'
//also added: 'en_dobt_polypoints_wnd_coords', 'en_dobt_polyline_wnd_coords', 'en_dobt_polygon_wnd_coords', 'en_dobt_polygonf_wnd_coords'
//v1.17 17-oct-2021 //added return value to 'mgraph::rect_clip()', was causing a crash when 'O3' optimization is used in LLEM prj with audio callback running
#include "mgraph.h"
//--------------------------------------------------------------------------
//surface3d
//v1.02 30-sep-2014 //v1.02
//v1.03 31-mar-2015 //added crude user line obj support: surfaceplot_line_obj_tag
//v1.04 02-nov-2016 //added text obj support via: 'surfaceplot_text_obj_tag', text coords are relative to vals passed to build_surface2(..)
// //build_surface2(..) takes values of: x, y, val (val = height), the x, y vals are to determine text location for given text coords
//v1.05 06-jan-2018 //nan will cause std::sort to crash, force eps as done below above in: build_surface2() 'fpclassify( ampl ) == FP_NAN'
//added wheel_gain user adj, adjs sample amplitudes (z-axis), hold ctrl and shift keys down,
//added text_font, int text_size
//see also in the 'mgraph.h' warning: 'to avoid windows error dlg: fl_line_style(): Could not create GDI pen object'
//--------------------------------------------------------------------------
//consecutive x locations are dim_y locations apart, like below:
//e.g: ptr = x * dim_y + y; o[ ptr ] = val;
/*
void test_surface3d()
{
int dimx, dimy;
dimx = 64;
dimy = 64;
//dimx = cn_pixels_to_plot * cn_filter_sub_samples * cn_reso;
//dimy = cn_pixels_to_plot * cn_filter_sub_samples * cn_reso;
vector<double>o;
o.resize( dimx * dimy );
int sub_pixels = 8;
plt3d->scale = 3000;
plt3d->ampl_gain = 1.0;
plt3d->highlight_every_x = sub_pixels;
plt3d->highlight_every_y = sub_pixels;
plt3d->offy = 60;
surfaceplot_line_obj_tag loo;
vector<surfaceplot_line_obj_tag> lo;
for( int yy = 0; yy < dimy; yy++ ) //zero grid val
{
for( int xx = 0; xx < dimx; xx++ )
{
int ptr = yy + dimy * xx; //note xx is multiples of: yy * dimy
o[ ptr ] = 0.0;
}
}
for( int yy = 32; yy < 32 + 8; yy++ )
{
for( int xx = 32; xx < 32 + 8; xx++ )
{
int ptr = yy + dimy * xx;
o[ ptr ] = 0.1;
}
}
int ptr = 0 + dimy * 0;; //note x is multiples of: y * dimy
o[ ptr ] = 0.05;
ptr = 8 + dimy * 0;
o[ ptr ] = 0.05;
ptr = 0 + dimy * 16;
o[ ptr ] = 0.05;
ptr = 36 + dimy * 36;
o[ ptr ] = 0.5;
loo.x1 = -30.5; //a line obj def
loo.y1 = -31.5;
loo.x2 = 31.0;
loo.y2 = 31.0;
loo.line_wid = 2;
loo.line_style = en_spls_solid; //user line obj line style, see: en_surfaceplot_line_style
loo.r = 64;
loo.g = 64;
loo.b = 64;
lo.push_back( loo );
loo.x1 = -5.5; //a line obj def
loo.y1 = 31.5;
loo.x2 = 20.0;
loo.y2 = -31.0;
loo.line_wid = 3;
loo.line_style = en_spls_solid; //user line obj line style, see: en_surfaceplot_line_style
loo.r = 64;
loo.g = 64;
loo.b = 64;
lo.push_back( loo );
loo.x1 = -31.5; //a line obj def
loo.y1 = 2.0;
loo.x2 = 31.5;
loo.y2 = 2.0;
loo.line_wid = 2;
loo.line_style = en_spls_solid; //user line obj line style, see: en_surfaceplot_line_style
loo.r = 128;
loo.g = 128;
loo.b = 128;
lo.push_back( loo );
loo.x1 = 2.0; //a line obj def
loo.y1 = -31.5;
loo.x2 = 2.0;
loo.y2 = 31.5;
loo.line_wid = 2;
loo.line_style = en_spls_solid; //user line obj line style, see: en_surfaceplot_line_style
loo.r = 255;
loo.g = 0;
loo.b = 0;
lo.push_back( loo );
plt3d->grid_line_style = en_spls_solid; //grid line style, see: en_surfaceplot_line_style
plt3d->grid_line_wid = 1; //grid line width
plt3d->build_surface( o, dimx, dimy, 1, 1, lo );
}
*/
surface3d::surface3d( int x, int y, int w, int h, const char *label ) : Fl_Double_Window( x, y, w, h, label )
{
text_font = 4;
text_size = 11;
left_button = 0;
middle_button = 0;
right_button = 0;
ctrl_key = 0;
shift_key = 0;
std_wheel_step = 1;
ctrl_wheel_step = 1;
shift_wheel_step = 1;
show_xyz_gain_text = 1;
show_lines = 1;
show_filled = 1;
scale = 1000;
scalex = 1;
scaley = 1;
force_col_fill = 0;
bdotmark = 1;
offx = 0;
offy = -100;
dimx = 0;
dimy = 0;
grid_line_style = en_spls_solid; //grid line style, see: en_surfaceplot_line_style
grid_line_wid = 1; //grid line width
selected_id = -1;
normals_length = 0.1;
rotate_x = 15;
rotate_y = 0;
rotate_z = -15;
lb_press_x = 0;
lb_press_y = 0;
mb_press_x = 0;
mb_press_y = 0;
rb_press_x = 0;
rb_press_y = 0;
mousex = 0;
mousey = 0;
rotx = 0;
roty = 0;
rotz = 0;
rho = 15;
ampl_gain = 1.0;
wheel_gain = 1.0;
col_bkgd.r = 255;
col_bkgd.g = 255;
col_bkgd.b = 255;
col_line.r = 0;
col_line.g = 0;
col_line.b = 0;
col_fill.r = 255;
col_fill.g = 255;
col_fill.b = 255;
highlight_every_x = 0;
highlight_every_y = 0;
col_hightlight_x.r = 0;
col_hightlight_x.g = 255;
col_hightlight_x.b = 0;
col_hightlight_y.r = 255;
col_hightlight_y.g = 0;
col_hightlight_y.b = 0;
//matrix_ffilter_widthormula_gen();
//set up colour ramp values for z axis contour colouring, see dissolve_ramp(..)
col_ramp[ 9 ].r = 255; //red
col_ramp[ 9 ].g = 29;
col_ramp[ 9 ].b = 0;
col_ramp[ 8 ].r = 255;
col_ramp[ 8 ].g = 128;
col_ramp[ 8 ].b = 0;
col_ramp[ 7 ].r = 255; //yellow
col_ramp[ 7 ].g = 255;
col_ramp[ 7 ].b = 0;
col_ramp[ 6 ].r = 128;
col_ramp[ 6 ].g = 255;
col_ramp[ 6 ].b = 0;
col_ramp[ 5 ].r = 0; //green
col_ramp[ 5 ].g = 255;
col_ramp[ 5 ].b = 0;
col_ramp[ 4 ].r = 0;
col_ramp[ 4 ].g = 255;
col_ramp[ 4 ].b = 128;
col_ramp[ 3 ].r = 0; //cyan
col_ramp[ 3 ].g = 255;
col_ramp[ 3 ].b = 255;
col_ramp[ 2 ].r = 0;
col_ramp[ 2 ].g = 128;
col_ramp[ 2 ].b = 255;
col_ramp[ 1 ].r = 0;
col_ramp[ 1 ].g = 0;
col_ramp[ 1 ].b = 255; //blue
col_ramp[ 0 ].r = 142;
col_ramp[ 0 ].g = 0;
col_ramp[ 0 ].b = 255;
}
struct matrix_tag
{
string s11, s12, s13, s14;
string s21, s22, s23, s24;
string s31, s32, s33, s34;
string s41, s42, s43, s44;
};
void mult_matrix( matrix_tag &res, matrix_tag &a, matrix_tag &b )
{
res.s11 = a.s11 + b.s11;
res.s11 += " + ";
res.s11 += a.s12 + b.s21;
res.s11 += " + ";
res.s11 += a.s13 + b.s31;
res.s11 += " + ";
res.s11 += a.s14 + b.s41;
res.s21 = a.s11 + b.s12;
res.s21 += " + ";
res.s21 += a.s12 + b.s22;
res.s21 += " + ";
res.s21 += a.s13 + b.s32;
res.s21 += " + ";
res.s21 += a.s14 + b.s42;
res.s31 = a.s11 + b.s13;
res.s31 += " + ";
res.s31 += a.s12 + b.s23;
res.s31 += " + ";
res.s31 += a.s13 + b.s33;
res.s31 += " + ";
res.s31 += a.s14 + b.s43;
res.s41 = a.s11 + b.s14;
res.s41 += " + ";
res.s41 += a.s12 + b.s24;
res.s41 += " + ";
res.s41 += a.s13 + b.s34;
res.s41 += " + ";
res.s41 += a.s14 + b.s44;
//---------------------
res.s12 = a.s21 + b.s11;
res.s12 += " + ";
res.s12 += a.s22 + b.s21;
res.s12 += " + ";
res.s12 += a.s23 + b.s31;
res.s12 += " + ";
res.s12 += a.s24 + b.s41;
res.s22 = a.s21 + b.s12;
res.s22 += " + ";
res.s22 += a.s22 + b.s22;
res.s22 += " + ";
res.s22 += a.s23 + b.s32;
res.s22 += " + ";
res.s22 += a.s24 + b.s42;
res.s32 = a.s21 + b.s13;
res.s32 += " + ";
res.s32 += a.s22 + b.s23;
res.s32 += " + ";
res.s32 += a.s23 + b.s33;
res.s32 += " + ";
res.s32 += a.s24 + b.s43;
res.s42 = a.s21 + b.s14;
res.s42 += " + ";
res.s42 += a.s22 + b.s24;
res.s42 += " + ";
res.s42 += a.s23 + b.s34;
res.s42 += " + ";
res.s42 += a.s24 + b.s44;
//---------------------
res.s13 = a.s31 + b.s11;
res.s13 += " + ";
res.s13 += a.s32 + b.s21;
res.s13 += " + ";
res.s13 += a.s33 + b.s31;
res.s13 += " + ";
res.s13 += a.s34 + b.s41;
res.s23 = a.s31 + b.s12;
res.s23 += " + ";
res.s23 += a.s32 + b.s22;
res.s23 += " + ";
res.s23 += a.s33 + b.s32;
res.s23 += " + ";
res.s23 += a.s34 + b.s42;
res.s33 = a.s31 + b.s13;
res.s33 += " + ";
res.s33 += a.s32 + b.s23;
res.s33 += " + ";
res.s33 += a.s33 + b.s33;
res.s33 += " + ";
res.s33 += a.s34 + b.s43;
res.s43 = a.s31 + b.s14;
res.s43 += " + ";
res.s43 += a.s32 + b.s24;
res.s43 += " + ";
res.s43 += a.s33 + b.s34;
res.s43 += " + ";
res.s43 += a.s34 + b.s44;
//---------------------
res.s14 = a.s41 + b.s11;
res.s14 += " + ";
res.s14 += a.s42 + b.s21;
res.s14 += " + ";
res.s14 += a.s43 + b.s31;
res.s14 += " + ";
res.s14 += a.s44 + b.s41;
res.s24 = a.s41 + b.s12;
res.s24 += " + ";
res.s24 += a.s42 + b.s22;
res.s24 += " + ";
res.s24 += a.s43 + b.s32;
res.s24 += " + ";
res.s24 += a.s44 + b.s42;
res.s34 = a.s41 + b.s13;
res.s34 += " + ";
res.s34 += a.s42 + b.s23;
res.s34 += " + ";
res.s34 += a.s43 + b.s33;
res.s34 += " + ";
res.s34 += a.s44 + b.s43;
res.s44 = a.s41 + b.s14;
res.s44 += " + ";
res.s44 += a.s42 + b.s24;
res.s44 += " + ";
res.s44 += a.s43 + b.s34;
res.s44 += " + ";
res.s44 += a.s44 + b.s44;
//---------------------
}
//these formulae where derived with help of string manipulation function: matrix_formula_gen()
//they were generated by multiplying the 3 axis rotation matrices by each other
void surface3d::matrix_formula_gen()
{
matrix_tag a;
matrix_tag b;
matrix_tag c;
matrix_tag res;
//rotate around x-axis
a.s11 = "1.";
a.s12 = "0.";
a.s13 = "0.";
a.s14 = "0.";
a.s21 = "0.";
a.s22 = "cosx.";
a.s23 = "-sinx.";
a.s24 = "0.";
a.s31 = "0.";
a.s32 = "sinx.";
a.s33 = "cosx.";
a.s34 = "0.";
a.s41 = "0.";
a.s42 = "0.";
a.s43 = "0.";
a.s44 = "1.";
//rotate around y-axis
b.s11 = "cosy.";
b.s12 = "0.";
b.s13 = "siny.";
b.s14 = "0.";
b.s21 = "0.";
b.s22 = "1.";
b.s23 = "0.";
b.s24 = "0.";
b.s31 = "-siny.";
b.s32 = "0.";
b.s33 = "cosy.";
b.s34 = "0.";
b.s41 = "0.";
b.s42 = "0.";
b.s43 = "0.";
b.s44 = "1.";
//Rotation x-axis by y-axis (combined)
a.s11 = "cosy.";
a.s12 = "0.";
a.s13 = "siny.";
a.s14 = "0.";
a.s21 = "-sinx-siny.";
a.s22 = "cosx.";
a.s23 = "-sinxcosy.";
a.s24 = "0.";
a.s31 = "cosx-siny.";
a.s32 = "sinx.";
a.s33 = "cosxcosy.";
a.s34 = "0.";
a.s41 = "0.";
a.s42 = "0.";
a.s43 = "0.";
a.s44 = "1.";
//rotate around z-axis
b.s11 = "cosz.";
b.s12 = "-sinz.";
b.s13 = "0.";
b.s14 = "0.";
b.s21 = "sinz.";
b.s22 = "cosz.";
b.s23 = "0.";
b.s24 = "0.";
b.s31 = "0.";
b.s32 = "0.";
b.s33 = "1.";
b.s34 = "0.";
b.s41 = "0.";
b.s42 = "0.";
b.s43 = "0.";
b.s44 = "1.";
mult_matrix( res, a, b );
printf( "-------------------------------------------------------------\n");
printf( "matrix a11= %s\n", res.s11.c_str() );
printf( "matrix a21= %s\n", res.s21.c_str() );
printf( "matrix a31= %s\n", res.s31.c_str() );
printf( "matrix a41= %s\n", res.s41.c_str() );
printf( "\n");
printf( "matrix a12= %s\n", res.s12.c_str() );
printf( "matrix a22= %s\n", res.s22.c_str() );
printf( "matrix a32= %s\n", res.s32.c_str() );
printf( "matrix a42= %s\n", res.s42.c_str() );
printf( "\n");
printf( "matrix a12= %s\n", res.s13.c_str() );
printf( "matrix a22= %s\n", res.s23.c_str() );
printf( "matrix a32= %s\n", res.s33.c_str() );
printf( "matrix a42= %s\n", res.s43.c_str() );
printf( "\n");
printf( "matrix a12= %s\n", res.s14.c_str() );
printf( "matrix a22= %s\n", res.s24.c_str() );
printf( "matrix a32= %s\n", res.s34.c_str() );
printf( "matrix a42= %s\n", res.s44.c_str() );
printf( "-------------------------------------------------------------\n");
}
//translate, rotate, pespective divide spec vsp entry and place vzorder vector
void surface3d::trans_rotate_persp_obj( vector<st_surfplot_tag> &vv, vector<st_surfplot_tag> &vt, int ptr )
{
double xt, yt, zt, x1, y1 ,z1;
int xx, yy;
double scale_x = scalex * scale;
double scale_y = scaley * scale;
vt[ ptr ].valid = 0; //assume cannot plot this
//these formulae where derived with help of string manipulation function: matrix_formula_gen()
//they were generated by mutiplying the 3 axis rotation matrices by each other
//----------------------
//rotate x-axis and y-axis
//xt = x1 * croty + z1 * sroty;
//yt = x1 * -srotx * -sroty + y1 * crotx + z1 * -srotx * croty;
//zt = x1 * crotx * -sroty + y1 * srotx + z1 * crotx * croty;
//----------------------
//------------------------------------------------
x1 = vv[ ptr ].x1;
y1 = vv[ ptr ].y1;
z1 = vv[ ptr ].z1;
//----------------------
//tanslate, rotate x-axis and y-axis and z-axiz
xt = x1 * croty * crotz + y1 * croty * -srotz + z1 * sroty;
yt = x1 * -srotx * -sroty * crotz + x1 * crotx * srotz + y1 * -srotx * -sroty * -srotz + y1 * crotx * crotz + z1 * -srotx * croty;
zt = x1 * crotx * -sroty * crotz + x1 * srotx * srotz + y1 * crotx * -sroty * -srotz + y1 * srotx * crotz + z1 * crotx * croty;
//----------------------
if( zt == 0 ) zt = 1e-6;
zt = -zt + rho;
if( zt < 0 ) return;
vt[ ptr ].x1 = xt; //store rotated coords without perpective divide
vt[ ptr ].y1 = yt;
vt[ ptr ].z1 = zt;
xt = (float)scale_x * xt / zt; //pespective divide/projection
yt = (float)scale_y * yt / zt;
xx = nearbyint( xt );
yy = nearbyint( yt );
vt[ ptr ].ix1 = xx;
vt[ ptr ].iy1 = yy;
//------------------------------------------------
//------------------------------------------------
x1 = vv[ ptr ].x2;
y1 = vv[ ptr ].y2;
z1 = vv[ ptr ].z2;
//----------------------
//translate, rotate x-axis and y-axis and z-axiz
xt = x1 * croty * crotz + y1 * croty * -srotz + z1 * sroty;
yt = x1 * -srotx * -sroty * crotz + x1 * crotx * srotz + y1 * -srotx * -sroty * -srotz + y1 * crotx * crotz + z1 * -srotx * croty;
zt = x1 * crotx * -sroty * crotz + x1 * srotx * srotz + y1 * crotx * -sroty * -srotz + y1 * srotx * crotz + z1 * crotx * croty;
//----------------------
if( zt == 0 ) zt = 1e-6;
zt = -zt + rho;
if( zt < 0 ) return;
vt[ ptr ].x2 = xt; //store rotated coords without perpective divide
vt[ ptr ].y2 = yt;
vt[ ptr ].z2 = zt;
xt = (float)scale_x * xt / zt; //pespective divide/projection
yt = (float)scale_y * yt / zt;
xx = nearbyint( xt );
yy = nearbyint( yt );
vt[ ptr ].ix2 = xx;
vt[ ptr ].iy2 = yy;
//------------------------------------------------
//------------------------------------------------
x1 = vv[ ptr ].x3;
y1 = vv[ ptr ].y3;
z1 = vv[ ptr ].z3;
//----------------------
//translate, rotate x-axis and y-axis and z-axiz
xt = x1 * croty * crotz + y1 * croty * -srotz + z1 * sroty;
yt = x1 * -srotx * -sroty * crotz + x1 * crotx * srotz + y1 * -srotx * -sroty * -srotz + y1 * crotx * crotz + z1 * -srotx * croty;
zt = x1 * crotx * -sroty * crotz + x1 * srotx * srotz + y1 * crotx * -sroty * -srotz + y1 * srotx * crotz + z1 * crotx * croty;
//----------------------
if( zt == 0 ) zt = 1e-6;
zt = -zt + rho;
if( zt < 0 ) return;
vt[ ptr ].x3 = xt; //store rotated coords without perpective divide
vt[ ptr ].y3 = yt;
vt[ ptr ].z3 = zt;
xt = (float)scale_x * xt / zt; //pespective divide/projection
yt = (float)scale_y * yt / zt;
xx = nearbyint( xt );
yy = nearbyint( yt );
vt[ ptr ].ix3 = xx;
vt[ ptr ].iy3 = yy;
//------------------------------------------------
//------------------------------------------------
x1 = vv[ ptr ].x4;
y1 = vv[ ptr ].y4;
z1 = vv[ ptr ].z4;
//----------------------
//translate, rotate x-axis and y-axis and z-axiz
xt = x1 * croty * crotz + y1 * croty * -srotz + z1 * sroty;
yt = x1 * -srotx * -sroty * crotz + x1 * crotx * srotz + y1 * -srotx * -sroty * -srotz + y1 * crotx * crotz + z1 * -srotx * croty;
zt = x1 * crotx * -sroty * crotz + x1 * srotx * srotz + y1 * crotx * -sroty * -srotz + y1 * srotx * crotz + z1 * crotx * croty;
//----------------------
if( zt == 0 ) zt = 1e-6;
zt = -zt + rho;
if( zt < 0 ) return;
vt[ ptr ].x4 = xt; //store rotated coords without perpective divide
vt[ ptr ].y4 = yt;
vt[ ptr ].z4 = zt;
xt = (float)scale_x * xt / zt; //pespective divide/projection
yt = (float)scale_y * yt / zt;
xx = nearbyint( xt );
yy = nearbyint( yt );
vt[ ptr ].ix4 = xx;
vt[ ptr ].iy4 = yy;
//------------------------------------------------
//vzorder[ ptr ].colfill = colfill;
//vzorder[ ptr ].colline = colline;
vt[ ptr ].valid = 1; //mark as plotable
vt[ ptr ].options = vv[ ptr ].options;
vt[ ptr ].col_select_1 = vv[ ptr ].col_select_1;
vt[ ptr ].col_select_2 = vv[ ptr ].col_select_2;
vt[ ptr ].col_select_3 = vv[ ptr ].col_select_3;
//double centrex, centrey, centrez;
//find_centre( vt[ ptr ], centrex, centrey, centrez );
//vt[ ptr ].centrex = centrex;
//vt[ ptr ].centrey = centrey;
//vt[ ptr ].centrez = centrez;
}
void surface3d::trans_rotate_project( vector<st_surfplot_tag> &vv, vector<st_surfplot_tag> &vt, int ptr )
{
// trans_rotate_persp_obj( vv, vt, ptr );
trans_rotate( vv, vt, ptr );
perpective_proj( vt, ptr );
}
//translate, rotate spec vsp entry
void surface3d::trans_rotate( vector<st_surfplot_tag> &vv, vector<st_surfplot_tag> &vt, int ptr )
{
double xt, yt, zt, x1, y1 ,z1;
int xx, yy;
//these formulae where derived with help of string manipulation function: matrix_formula_gen()
//they were generated by mutiplying the 3 axis rotation matrices by each other
//----------------------
//rotate x-axis and y-axis
//xt = x1 * croty + z1 * sroty;
//yt = x1 * -srotx * -sroty + y1 * crotx + z1 * -srotx * croty;
//zt = x1 * crotx * -sroty + y1 * srotx + z1 * crotx * croty;
//----------------------
//------------------------------------------------
x1 = vv[ ptr ].x1;
y1 = vv[ ptr ].y1;
z1 = vv[ ptr ].z1;
//----------------------
//translate, rotate x-axis and y-axis and z-axiz
xt = x1 * croty * crotz + y1 * croty * -srotz + z1 * sroty;
yt = x1 * -srotx * -sroty * crotz + x1 * crotx * srotz + y1 * -srotx * -sroty * -srotz + y1 * crotx * crotz + z1 * -srotx * croty;
zt = x1 * crotx * -sroty * crotz + x1 * srotx * srotz + y1 * crotx * -sroty * -srotz + y1 * srotx * crotz + z1 * crotx * croty;
//----------------------
if( zt == 0 ) zt = 1e-6; //offset z axis by rho
zt = -zt + rho;
vt[ ptr ].x1 = xt; //store rotated coords without perpective divide
vt[ ptr ].y1 = yt;
vt[ ptr ].z1 = zt;
//------------------------------------------------
//------------------------------------------------
x1 = vv[ ptr ].x2;
y1 = vv[ ptr ].y2;
z1 = vv[ ptr ].z2;
//----------------------
//translate, rotate x-axis and y-axis and z-axiz
xt = x1 * croty * crotz + y1 * croty * -srotz + z1 * sroty;
yt = x1 * -srotx * -sroty * crotz + x1 * crotx * srotz + y1 * -srotx * -sroty * -srotz + y1 * crotx * crotz + z1 * -srotx * croty;
zt = x1 * crotx * -sroty * crotz + x1 * srotx * srotz + y1 * crotx * -sroty * -srotz + y1 * srotx * crotz + z1 * crotx * croty;
//----------------------
if( zt == 0 ) zt = 1e-6; //offset z axis by rho
zt = -zt + rho;
vt[ ptr ].x2 = xt; //store rotated coords without perpective divide
vt[ ptr ].y2 = yt;
vt[ ptr ].z2 = zt;
//------------------------------------------------
//------------------------------------------------
x1 = vv[ ptr ].x3;
y1 = vv[ ptr ].y3;
z1 = vv[ ptr ].z3;
//----------------------
//translate, rotate x-axis and y-axis and z-axiz
xt = x1 * croty * crotz + y1 * croty * -srotz + z1 * sroty;
yt = x1 * -srotx * -sroty * crotz + x1 * crotx * srotz + y1 * -srotx * -sroty * -srotz + y1 * crotx * crotz + z1 * -srotx * croty;
zt = x1 * crotx * -sroty * crotz + x1 * srotx * srotz + y1 * crotx * -sroty * -srotz + y1 * srotx * crotz + z1 * crotx * croty;
//----------------------
if( zt == 0 ) zt = 1e-6; //offset z axis by rho
zt = -zt + rho;
vt[ ptr ].x3 = xt; //store rotated coords without perpective divide
vt[ ptr ].y3 = yt;
vt[ ptr ].z3 = zt;
//------------------------------------------------
//------------------------------------------------
x1 = vv[ ptr ].x4;
y1 = vv[ ptr ].y4;
z1 = vv[ ptr ].z4;
//----------------------
//translate, rotate x-axis and y-axis and z-axiz
xt = x1 * croty * crotz + y1 * croty * -srotz + z1 * sroty;
yt = x1 * -srotx * -sroty * crotz + x1 * crotx * srotz + y1 * -srotx * -sroty * -srotz + y1 * crotx * crotz + z1 * -srotx * croty;
zt = x1 * crotx * -sroty * crotz + x1 * srotx * srotz + y1 * crotx * -sroty * -srotz + y1 * srotx * crotz + z1 * crotx * croty;
//----------------------
if( zt == 0 ) zt = 1e-6; //offset z axis by rho
zt = -zt + rho;
vt[ ptr ].x4 = xt; //store rotated coords without perpective divide
vt[ ptr ].y4 = yt;
vt[ ptr ].z4 = zt;
//------------------------------------------------
//vzorder[ ptr ].colfill = colfill;
//vzorder[ ptr ].colline = colline;
vt[ ptr ].options = vv[ ptr ].options;
vt[ ptr ].col_select_1 = vv[ ptr ].col_select_1;
vt[ ptr ].col_select_2 = vv[ ptr ].col_select_2;
vt[ ptr ].col_select_3 = vv[ ptr ].col_select_3;