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386 jab 1
/*
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 *  harmonics.cpp
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 *  GEL
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 *
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 *  Created by J. Andreas Bærentzen on 01/09/08.
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 *  Copyright 2008 __MyCompanyName__. All rights reserved.
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 *
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 */
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#include <iostream>
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#include <CGLA/Vec3f.h>
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#include <CGLA/Vec3d.h>
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#include <LinAlg/Matrix.h>
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#include <LinAlg/Vector.h>
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#include <LinAlg/LapackFunc.h>
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#include <GL/glew.h>
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#include <GLGraphics/glsl_shader.h>
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#include <HMesh/Manifold.h>
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#include <HMesh/VertexCirculator.h>
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#include <HMesh/FaceCirculator.h>
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#include <HMesh/build_manifold.h>
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#include <HMesh/mesh_optimization.h>
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#include <HMesh/triangulate.h>
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#include <HMesh/load.h>
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#include <HMesh/x3d_save.h>
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29
#include <GLConsole/GLConsole.h>
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31
#include "harmonics.h"
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using namespace CGLA;
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using namespace std;
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using namespace HMesh;
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using namespace Geometry;
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using namespace GLGraphics;
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using namespace LinAlg;
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391 jab 40
bool Harmonics::is_initialized=false;
41
GLuint Harmonics::prog_P0;
386 jab 42
 
43
 
44
namespace
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{
397 jab 46
 
47
	string vss =
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"#version 120\n"
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"#extension GL_EXT_gpu_shader4 : enable\n"
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"	\n"
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"	\n"
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"	attribute float eigenvalue;\n"
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"	attribute float eigenvalue2;\n"
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"	varying vec3 normal;\n"
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"	varying float eig;\n"
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"	varying float eig2;\n"
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"	\n"
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"	void main(void)\n"
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"	{\n"
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"		gl_Position =  ftransform();\n"
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"		normal = normalize(gl_NormalMatrix * gl_Normal);\n"
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"		eig = eigenvalue;\n"
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"		eig2 = eigenvalue2;\n"
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"	}\n";
386 jab 65
 
397 jab 66
string fss = 	
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"#version 120\n"
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"#extension GL_EXT_gpu_shader4 : enable\n"
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"	\n"
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"	varying vec3 normal;\n"
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"	varying float eig;\n"
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"	varying float eig2;\n"
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"	uniform float eig_max;\n"
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"	uniform float eig_max2;\n"
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"	uniform bool do_highlight;\n"
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"	uniform bool do_diffuse;\n"
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"	const vec3 light_dir = vec3(0,0,1);\n"
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"	\n"
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"	void main()\n"
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"	{\n"
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"		float dot_ln = dot(light_dir, normal);\n"
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"		\n"
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"		float eig_norm = eig/eig_max;\n"
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"		float stripe_signal = 100 * eig_norm;\n"
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"		vec4 stripe_col = abs(stripe_signal) < 3.14 ? vec4(1,1,0,0) : vec4(.1,.1,.1,0);\n"
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"		\n"
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"		gl_FragColor = eig_norm * vec4(-1,0,1,0);\n"
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"		if(do_diffuse)   gl_FragColor *= dot_ln;\n"
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"		if(do_highlight) gl_FragColor += dot_ln*dot_ln*dot_ln*dot_ln*dot_ln*dot_ln*dot_ln*vec4(.5,.5,.5,0);\n"
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"		gl_FragColor += stripe_col * smoothstep(0.8,1.0,cos(stripe_signal));\n"
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"	}\n";
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386 jab 93
	double voronoi_area(VertexIter v)
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	{
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	double area_mixed = 0;
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	//For each triangle T from the 1-ring neighborhood of x
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	for(VertexCirculator vc(v); !vc.end(); ++vc)
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	{
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		FaceIter f = vc.get_face();
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		double f_area = area(f);
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102
		HalfEdgeIter he = vc.get_halfedge();
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		Vec3d v1(he->vert->pos);
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		Vec3d v2(he->next->vert->pos);
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		Vec3d v0(he->next->next->vert->pos);
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107
		double a0 = acos(dot(v1-v0, v2-v0)/(length(v1-v0)*length(v2-v0)));
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		double a1 = acos(dot(v2-v1, v0-v1)/(length(v2-v1)*length(v0-v1)));
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		double a2 = acos(dot(v0-v2, v1-v2)/(length(v0-v2)*length(v1-v2)));
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111
		if(a0>(M_PI/2.0) && a1>(M_PI/2.0) && a2>(M_PI/2.0)) // f is non-obtuse
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		{
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			// Add Voronoi formula (see Section 3.3)
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			area_mixed += (1.0/8) * 
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			((1.0/tan(a1)) * sqr_length(v2-v0) + 
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			 (1.0/tan(a2)) * sqr_length(v1-v0));
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		}
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		else // Voronoi inappropriate
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		{
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			// Add either area(f)/4 or area(f)/2
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			if(a0>M_PI/2.0)// the angle of f at x is obtuse
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				area_mixed += f_area/2;
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			else
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				area_mixed += f_area/4;
125
		}
126
	}
127
	return area_mixed;
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}
129
 
130
	double barycentric_area(VertexIter v)
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	{
132
	double barea = 0;
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	//For each triangle T from the 1-ring neighborhood of x
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	for(VertexCirculator vc(v); !vc.end(); ++vc)
135
	{
136
		FaceIter f = vc.get_face();
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		barea += area(f)/3.0;
138
	}
139
	return barea;
140
}
141
 
142
}
143
 
391 jab 144
void Harmonics::make_laplace_operator()
386 jab 145
{
146
	Q.Resize(mani.no_vertices(), mani.no_vertices());
147
 
148
	for(VertexIter v = mani.vertices_begin(); v != mani.vertices_end(); ++v)
149
		if(!is_boundary(v))
150
		{
151
			int i = v->touched;
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			double area_i = voronoi_area(v);
153
			Vec3d vertex(v->pos);
154
			Vec3d curv_normal(0);
155
			double a_sum = 0;
156
			for(VertexCirculator vc(v); !vc.end(); ++vc)
157
			{
158
				int j = vc.get_vertex()->touched;
159
				double area_j = voronoi_area(vc.get_vertex());
160
				HalfEdgeIter h = vc.get_halfedge();
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				Vec3d nbr(h->vert->pos);
162
				Vec3d left(h->next->vert->pos);
163
				Vec3d right(h->opp->prev->opp->vert->pos);
164
 
165
				double d_left = dot(normalize(nbr-left),
166
									normalize(vertex-left));
167
				double d_right = dot(normalize(nbr-right),
168
									 normalize(vertex-right));
169
				double a_left  = acos(min(1.0, max(-1.0, d_left)));
170
				double a_right = acos(min(1.0, max(-1.0, d_right)));
171
 
172
				double w = 1.0/tan(a_left) + 1.0/tan(a_right);
173
 
174
				Q[i][j] = -w/sqrt(area_i*area_j);						
175
				//Q[i][j] = -1;						
176
				a_sum += Q[i][j];
177
			}
178
			Q[i][i] = -a_sum;
179
		}
180
	EigenSolutionsSym(Q,V);
181
 
182
}
183
 
184
 
391 jab 185
Harmonics::Harmonics(Manifold& _mani):mani(_mani)
386 jab 186
{
391 jab 187
	assert(is_initialized);
188
 
189
	triangulate(mani);
190
	mani.enumerate_vertices();
191
	maximum_eigenvalue = mani.no_vertices()-1;
192
	make_laplace_operator();
193
 
194
	proj.resize(maximum_eigenvalue);
409 jrf 195
	max_eig_values.resize(maximum_eigenvalue, 1e-10f);
399 jab 196
 
391 jab 197
	for(int es=0; es<maximum_eigenvalue; ++es)
386 jab 198
	{
399 jab 199
		proj[es] = Vec3d(0.0);
386 jab 200
		for(VertexIter v=mani.vertices_begin(); v != mani.vertices_end(); ++v)
201
		{
399 jab 202
 
203
			proj[es] +=  Vec3d(v->pos) * Q[es][v->touched];
204
			max_eig_values[es] = max(max_eig_values[es], static_cast<float>(abs(Q[es][v->touched])));
386 jab 205
		}
206
	}
207
}
208
 
391 jab 209
void Harmonics::add_frequency(int es, float scale)
386 jab 210
{
391 jab 211
	if(es<maximum_eigenvalue)
386 jab 212
		for(VertexIter v=mani.vertices_begin(); v != mani.vertices_end(); ++v)
213
		{
399 jab 214
			Vec3f p = Vec3f(proj[es]);
215
			double Qval = Q[es][v->touched];
216
 
403 jab 217
			v->pos += p * Qval * scale; 	
386 jab 218
		}
219
}
220
 
391 jab 221
void Harmonics::reset_shape()
386 jab 222
{
223
	for(VertexIter v=mani.vertices_begin(); v != mani.vertices_end(); ++v)
391 jab 224
		v->pos = Vec3f(0);	
386 jab 225
}
391 jab 226
void Harmonics::partial_reconstruct(int E0, int E1, float scale)
386 jab 227
{
228
	for(int es=E0;es<=E1;++es)
391 jab 229
		add_frequency(es, scale);
386 jab 230
}
231
 
232
 
388 jab 233
template<typename T>
234
T& get_CVar_ref(const std::string& s)
235
{
236
	return *reinterpret_cast<T*> (GetCVarData(s));
237
}
386 jab 238
 
391 jab 239
void Harmonics::parse_key(unsigned char key)
386 jab 240
{
391 jab 241
		int& display_eigenvalue = get_CVar_ref<int>("display.harmonics.eigenvalue");
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		int& display_diffuse = get_CVar_ref<int>("display.harmonics.diffuse");
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		int& display_highlight = get_CVar_ref<int>("display.harmonics.highlight");
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		switch(key) {
245
			case '+': 
246
				display_eigenvalue = min(display_eigenvalue+1, maximum_eigenvalue); 
247
				break;
248
			case '-': 
249
				display_eigenvalue = max(display_eigenvalue-1, 0); 
250
				break;
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			case 'd':	
252
				display_diffuse = !display_diffuse; 
253
				break;
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			case 'h':
255
				display_highlight = !display_highlight;
256
				break;			
257
		}
258
 
259
}
260
 
261
void Harmonics::draw()
262
{
388 jab 263
	int& display_eigen = get_CVar_ref<int>("display.harmonics.eigenvalue");
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	int& display_eigen2 = get_CVar_ref<int>("display.harmonics.eigenvalue");
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	int& do_diffuse = get_CVar_ref<int>("display.harmonics.diffuse");
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	int& do_highlight = get_CVar_ref<int>("display.harmonics.highlight");
386 jab 267
 
388 jab 268
 
386 jab 269
	glUseProgram(prog_P0);
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	glUniform1f(glGetUniformLocation(prog_P0,"eig_max"),max_eig_values[display_eigen]);
271
	glUniform1f(glGetUniformLocation(prog_P0,"eig_max2"),max_eig_values[display_eigen2]);
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	glUniform1i(glGetUniformLocation(prog_P0,"do_diffuse"),do_diffuse);
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   	glUniform1i(glGetUniformLocation(prog_P0,"do_highlight"),do_highlight);
274
	GLuint attrib = glGetAttribLocationARB(prog_P0, "eigenvalue");
275
	GLuint attrib2 = glGetAttribLocationARB(prog_P0, "eigenvalue2");
276
 
277
	glFrontFace(GL_CW);
391 jab 278
	for(FaceIter f=mani.faces_begin(); f != mani.faces_end(); ++f)
386 jab 279
	{
280
		FaceCirculator fc(f);
281
		glBegin(GL_TRIANGLES);
282
		while(!fc.end())
283
		{
284
			int i = fc.get_vertex()->touched;
285
			glVertexAttrib1f(attrib,Q[display_eigen][i]);
286
			glVertexAttrib1f(attrib2,Q[display_eigen2][i]);
287
			glNormal3fv(normal(fc.get_vertex()).get());
391 jab 288
			glVertex3fv(fc.get_vertex()->pos.get());
386 jab 289
			++fc;
290
		}
291
		glEnd();
292
	}
293
	glFrontFace(GL_CCW);
294
	glUseProgram(0);
295
}
296
 
391 jab 297
void Harmonics::init()
386 jab 298
{
391 jab 299
	is_initialized = true;
386 jab 300
	string shader_path = "/Users/jab/GEL/apps/MeshEdit/";
397 jab 301
	GLuint vs = create_glsl_shader(GL_VERTEX_SHADER, vss);
302
	GLuint fs = create_glsl_shader(GL_FRAGMENT_SHADER, fss);
386 jab 303
 
304
	// Create the program
305
	prog_P0 = glCreateProgram();
306
 
307
	// Attach all shaders
308
	if(vs) glAttachShader(prog_P0, vs);
309
	if(fs) glAttachShader(prog_P0, fs);
310
 
311
	// Link the program object and print out the info log
312
	glLinkProgram(prog_P0);
313
	print_glsl_program_log(prog_P0);
314
 
315
	// Install program object as part of current state
394 jab 316
	glUseProgram(0);
388 jab 317
 
318
	static CVar<int> display_eigen("display.harmonics.eigenvalue",0);
319
	static CVar<int> display_eigen2("display.harmonics.eigenvalue2",0);
320
	static CVar<int> do_highlight("display.harmonics.highlight",1);
321
	static CVar<int> do_diffuse("display.harmonics.diffuse",1);
386 jab 322
 
323
}