Conceito PrincipalSuponha que tenhamos um conjunto de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn Os pontos de dados 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, onde 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 s\303\243o distintos. \303\200s vezes, esses pontos de dados podem ser interpretados como valores de uma fun\303\247\303\243o subjacente f (x). Se a fun\303\247\303\243o subjacente n\303\243o for conhecida explicitamente, poderemos derivar uma aproxima\303\247\303\243o para ela com base nos pontos de dados fornecidos. Uma aproxima\303\247\303\243o simples \303\251 desenhar linhas entre pontos vizinhos, que \303\251 chamada de "Interpola\303\247\303\243o linear por partes", pois a fun\303\247\303\243o subjacente f (x) seria definida por partes como linhas entre os pontos de dados vizinhos. Esse m\303\251todo de aproxima\303\247\303\243o \303\251 f\303\241cil de implementar, mas n\303\243o \303\251 muito preciso.
Em vez disso, poder\303\255amos interpolar entre pontos com um polin\303\264mio c\303\272bico. Se tiv\303\251ssemos n pontos, ter\303\255amos n - 1 aproximando-se de polin\303\264mios c\303\272bicos definidos entre os pontos: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Usamos x - x [i] no lugar de x para simplificar os c\303\241lculos que precisam ser feitos. A id\303\251ia \303\251 fazer uma curva suave que passe por todos os pontos fornecidos. As inc\303\263gnitas s\303\243o os coeficientes 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e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtRi82JlEiaUYnRjJGNUY4RjJGNUY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic= , para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn onde 1 to LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEoJm1pbnVzO0YnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGTi1JI21uR0YkNiVRIjFGJ0YyRjxGMkY8.Montamos um sistema de equa\303\247\303\265es que deve ser resolvido para que a interpola\303\247\303\243o se aproxime da fun\303\247\303\243o subjacente LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEieEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=.<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Detalhes dos c\303\241lculos</Font></Text-field>Para 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 temos definido LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYyLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEiaUYnRjJGNUY4RjUvRjlRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiUtRiM2JS1GLzYmUSJ4RidGMkY1RjhGNUZARjVGQC1JI21vR0YkNi5RIj1GJ0Y1RkAvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0Zbby1GLDYlLUYvNiZRImFGJ0YyRjVGOEY7RkItRk42LlEiK0YnRjVGQEZRRlNGVUZXRllGZW5GZ24vRmpuUSwwLjIyMjIyMjJlbUYnL0Zdb0Znby1GLDYlLUYvNiZRImJGJ0YyRjVGOEY7RkItRkY2JS1GIzYnRkotRk42LlEoJm1pbnVzO0YnRjVGQEZRRlNGVUZXRllGZW5GZ25GZm9GaG8tRiw2JUZKRjtGQkY1RkBGNUZARmNvLUYsNiUtRi82JlEiY0YnRjJGNUY4RjtGQi1JJW1zdXBHRiQ2JUZecC1GIzYlLUkjbW5HRiQ2JVEiMkYnRjVGQEY1RkAvJTFzdXBlcnNjcmlwdHNoaWZ0R0ZERmNvLUYsNiUtRi82JlEiZEYnRjJGNUY4RjtGQi1GXXE2JUZecC1GIzYlLUZicTYlUSIzRidGNUZARjVGQEZlcS1GLzYjUSFGJ0Y1RkA=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYwLUkjbWlHRiQ2JVEkc2VyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEifkYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUYsNiVRIm9GJ0YvRjJGNS1GLDYlUSxjJiMyNTA7Ymljb0YnRi9GMkY1LUYsNiVRJHF1ZUYnRi9GMkY1LUYsNiVRKmludGVycG9sYUYnRi9GMkY1LUYsNiVRImZGJ0YvRjItSShtZmVuY2VkR0YkNiUtRiM2JS1GLDYmUSJ4RidGLy8lK2V4ZWN1dGFibGVHRj1GMkZgb0Y5RmBvRjlGYG9GOQ== sobre 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.Temos que introduzir algumas condi\303\247\303\265es que definem as inc\303\263gnitas 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e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtRi82JlEiaUYnRjJGNUY4RjJGNUY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic= (que d\303\241 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JVEiNEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkobWZlbmNlZEdGJDYlLUYjNictSSNtaUdGJDYmUSJuRicvJSdpdGFsaWNHUSV0cnVlRidGLy9GM1EnaXRhbGljRictSSNtb0dGJDYuUSgmbWludXM7RidGL0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGVy1GLDYlUSIxRidGL0YyRi9GMkYvRjJGL0Yy inc\303\263gnitas no total).
1. Os valores da fun\303\247\303\243o no in\303\255cio de cada intervalo: para 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Note 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 ent\303\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2. Os valores da fun\303\247\303\243o no final de cada intervalo, para continuidade: para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JlEiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiPUYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTi1JI21uR0YkNiVRIjFGJ0YyRjwtRjk2LlEiOkYnRjJGPEY+RkBGQkZERkZGSEZKRkxGTy1GLDYmUSJuRidGL0YyRjUtRjk2LlEoJm1pbnVzO0YnRjJGPEY+RkBGQkZERkZGSEZKL0ZNUSwwLjIyMjIyMjJlbUYnL0ZQRmluRlFGMkY8LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtRi82JlEiaUYnRjJGNUY4RjJGNUY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiUtRiM2JS1GLDYlLUYvNiZRInhGJ0YyRjVGOC1GIzYoRj0tSSNtb0dGJDYuUSIrRidGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0Zfby1JI21uR0YkNiVRIjFGJ0Y1RlNGMkY1RjhGQEY1RlNGNUZTLUZQNi5RIj1GJ0Y1RlNGVUZXRllGZW5GZ25GaW5GW28vRl5vUSwwLjI3Nzc3NzhlbUYnL0Zhb0Zqby1GLDYlLUYvNiZRInlGJ0YyRjVGOEZNRkBGNUZT\342\207\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Definindo 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 para 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 podemos escrever essas restri\303\247\303\265es 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3. Queremos garantir a continuidade da primeira derivada da interpola\303\247\303\243o: por 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\342\207\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\342\207\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\342\207\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. Tamb\303\251m queremos garantir a continuidade da segunda derivada da interpola\303\247\303\243o: por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JlEiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiPUYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTi1JI21uR0YkNiVRIjFGJ0YyRjwtRjk2LlEiOkYnRjJGPEY+RkBGQkZERkZGSEZKRkxGTy1GLDYmUSJuRidGL0YyRjUtRjk2LlEoJm1pbnVzO0YnRjJGPEY+RkBGQkZERkZGSEZKL0ZNUSwwLjIyMjIyMjJlbUYnL0ZQRmluLUZSNiVRIjJGJ0YyRjxGMkY8LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtRi82JlEiaUYnRjJGNUY4RjJGNUY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYuUSInRidGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR1EmMC4wZW1GJ0ZDLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JS1GLzYmUSJ4RidGMkY1RjgtRiM2KEY9LUZENi5RIitGJ0Y1RkdGSUZLRk1GT0ZRRlNGVS9GWFEsMC4yMjIyMjIyZW1GJy9GZW5GZ28tSSNtbkdGJDYlUSIxRidGNUZHRjJGNUY4RkBGNUZHRjVGRy1GRDYuUSI9RidGNUZHRklGS0ZNRk9GUUZTRlUvRlhRLDAuMjc3Nzc3OGVtRicvRmVuRmFwLUYsNiVGLkZhb0ZARkNGQ0ZnbkY1Rkc=\342\207\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\342\207\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\342\207\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\342\207\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\303\243o n\303\263s temos 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 equa\303\247\303\265es para determinar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JVEiNEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkobWZlbmNlZEdGJDYlLUYjNictSSNtaUdGJDYmUSJuRicvJSdpdGFsaWNHUSV0cnVlRidGLy9GM1EnaXRhbGljRictSSNtb0dGJDYuUSgmbWludXM7RidGL0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGVy1GLDYlUSIxRidGL0YyRi9GMkYvRjJGL0Yy unknowns.Existem alguns tipos diferentes de splines c\303\272bicos, todos definidos pelas duas equa\303\247\303\265es adicionadas ao sistema que acabamos de descrever.
Forne\303\247a valores para as primeiras derivadas nos terminais: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, 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
\342\207\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
\342\207\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.
Isso \303\251 chamado de spline c\303\272bico completo ou fixo.
Forne\303\247a valores para as segundas derivadas nos terminais: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, 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
\342\207\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
\342\207\222LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4LUkjbW9HRiQ2LlEoJm1pbnVzO0YnRjUvRjlRJ25vcm1hbEYnLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGVi1JI21uR0YkNiVRIjFGJ0Y1RkRGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GQTYuUSInRidGNUZERkZGSEZKRkxGTkZQRlIvRlVRLDAuMTExMTExMWVtRicvRlhRJjAuMGVtRidGam4tSShtZmVuY2VkR0YkNiUtRiM2JS1GLDYlLUYvNiZRInhGJ0YyRjVGOC1GIzYmRj1GMkY1RjhGZ25GNUZERjVGRC1GQTYuUSI9RidGNUZERkZGSEZKRkxGTkZQRlIvRlVRLDAuMjc3Nzc3OGVtRicvRlhGYXAtRlo2JVEiMkYnRjVGRC1GQTYuUSJ+RidGNUZERkZGSEZKRkxGTkZQRlIvRlVGYG9GX28tRiw2JS1GLzYmUSJjRidGMkY1RjhGO0Znbi1GQTYuUSIrRidGNUZERkZGSEZKRkxGTkZQRlJGVEZXLUZaNiVRIjZGJ0Y1RkRGZnAtRiw2JS1GLzYmUSJkRidGMkY1RjhGO0Znbi1GLDYlLUYvNiZRImhGJ0YyRjVGOEY7RmduRl1wLUYsNiUtRi82JlEiekYnRjJGNUY4LUYjNiZGY3BGMkY1RjhGZ25GNUZE
Quando os valores fornecidos s\303\243o 0, isso \303\251 chamado de spline c\303\272bico natural.
Exija que a primeira e a segunda derivadas tenham os mesmos valores nos pontos de extremidade: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, 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
\342\207\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
\342\207\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
Isso \303\251 chamado de spline peri\303\263dica (repeti\303\247\303\243o).
Depois de configurar as equa\303\247\303\265es, podemos resolver o sistema. Para uma solu\303\247\303\243o mais r\303\241pida, o sistema geralmente \303\251 simplificado. Por exemplo, ao calcular um spline c\303\272bico natural, basta resolver um sistema que envolve apenas 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 para calcular as outras vari\303\241veis.
Na plotagem abaixo, voc\303\252 pode clicar e arrastar os pontos pelos quais o spline c\303\272bico passar\303\241. Voc\303\252 tamb\303\251m pode escolher entre um spline c\303\272bico natural ou fixo, ajustar os valores dos grampos e variar o n\303\272mero de pontos na interpola\303\247\303\243o.Valor da bra\303\247adeira esquerda mymodule:-LClamp();
mymodule:-Click();
mymodule:-EndDrag();
mymodule:-Drag();
NjAtJSdQT0lOVFNHNiw3JCQhI2chIiIkIiIhISIiNyQkISM/ISIiJCIiISEiIjckJCIjPyEiIiQiIiEhIiI3JCQiI2chIiIkIiIhISIiNyQkIiQrIiEiIiQiIiEhIiItJSdMRUdFTkRHNiMtJSlfVFlQRVNFVEc2Iy1JJW1yb3dHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHNiI2NS1JI21zRzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliRzYiNiNRLGRhdGF+cG9pbnRzNiIvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW42Ii8lJXNpemVHUSMxMjYiLyUlYm9sZEdRJmZhbHNlNiIvJSdpdGFsaWNHUSZmYWxzZTYiLyUqdW5kZXJsaW5lR1EmZmFsc2U2Ii8lKnN1YnNjcmlwdEdRJmZhbHNlNiIvJSxzdXBlcnNjcmlwdEdRJmZhbHNlNiIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXTYiLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV02Ii8lJ29wYXF1ZUdRJmZhbHNlNiIvJStleGVjdXRhYmxlR1EmZmFsc2U2Ii8lKXJlYWRvbmx5R1EmZmFsc2U2Ii8lKWNvbXBvc2VkR1EmZmFsc2U2Ii8lKmNvbnZlcnRlZEdRJmZhbHNlNiIvJStpbXNlbGVjdGVkR1EmZmFsc2U2Ii8lLHBsYWNlaG9sZGVyR1EmZmFsc2U2Ii8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdRJmZhbHNlNiIvJSxtYXRodmFyaWFudEdRJ25vcm1hbDYiLSUmQ09MT1JHNiYlJFJHQkckIilDKWVxJSEiKSQiIiEhIiIkIignPiFcJiEiKS0lJ1NZTUJPTEc2IyUnQ0lSQ0xFRy0lKlRISUNLTkVTU0c2IyIiIy0lJUZPTlRHNiQlJlRJTUVTRyIjNy0lJ0NVUlZFU0c2KDdodzckJCEjZyEiIiQhMmNJVFxBJyoqekUhI0U3JCQhMCp6Zj4keWUiZiEjOSQhMkRTYG1EVmFLIiEjPzckJCExI1F3X1wlb1VlISM6JCExJFtFInBBd1tYISM+NyQkITE9T3MlUXEudyYhIzokITJHXCc+QmEjRy4iISM+NyQkITAyOUdrNXZuJiEjOSQhMjRTQSRvTE9IPSEjPjckJCEwKFJ6PVovJmYmISM5JCEyeF4/Jyl6KiopPkchIz43JCQhMXNVJjNEKWU9YiEjOiQhMWRoLygqNForUiEjPTckJCExclQkbytBJVJhISM6JCEyJkcjeXpjKXlwXiEjPjckJCEvLC1rIlt2TiYhIzgkITEpKilIdUpeJkdtISM9NyQkITEjSGU7Km8kZkYmISM6JCEvQidmcENcQCkhIzs3JCQhMXBPdG0nKik+PiYhIzokITFuKSozU3MwbyoqISM9NyQkITFMbUswKlshPV4hIzokITJONlAheXkyZzYhIz03JCQhMC0vMzc0Wy4mISM5JCEyKUhATyIqKSpIXzghIz03JCQhMVYnR2RhRjcmXCEjOiQhMVUiNGxodUViIiEjPDckJCExclUmM0Aib3FbISM6JCExPnNUcys+XjwhIzw3JCQhMWU6SkF1YCh6JSEjOiQhMiNIUHN2PXpNPiEjPTckJCExeWI2JFFpMHIlISM6JCEyUS9rSEpOYzojISM9NyQkITImND5RO0opb2olISM7JCEyI3pVZEwmUk5NIyEjPTckJCExT3RZOG08XlghIzokITIuKSpcLVRhOWMjISM9NyQkIS8qemYkPUp2VyEjOCQhMnMjcE9cQlBfRiEjPTckJCExemQ6XmgyI1IlISM6JCExIj5WPGljImVIISM8NyQkITEjUnljNDtHSiUhIzokITFldEI2OzFcSiEjPDckJCExbk5yVWw2SVUhIzokITImMztaMiFHOU0kISM9NyQkITFGYTNQRDxhVCEjOiQhMXBVbUdAZDVOISM8NyQkITEkb090bWNBMiUhIzokITJNPG9ISnFNbyQhIz03JCQhMnheLjI1cHIpUiEjOyQhMSZlMHEwQDQmUSEjPDckJCEyYTQ+UTcrSiJSISM7JCExLnItIj1iXylSISM8NyQkITAqemYqZi5KJFEhIzkkITFeO1YveChwNiUhIzw3JCQhMjExN0NPZi92JCEjOyQhMiU+b1MoXGxwQiUhIz03JCQhMkJcKXAqNDMncE8hIzskITFlOC9mRClwTCUhIzw3JCQhMVYnR2RNIVEiZiQhIzokITFKL2d6XydmVCUhIzw3JCQhMDE3Q3dAWF0kISM5JCExcDJ2b3laIlslISM8NyQkITFgMDZpYVpFTSEjOiQhMSozZy1bTio9WCEjPDckJCExWiUqKXlQV0pNJCEjOiQhMVFZKkdyalxgJSEjPDckJCExYTI6SVNqbkshIzokITFoQSpvT2BuXyUhIzw3JCQhMiN6ZTx2NzMmPSQhIzskITJOP1xbJnlgIlwlISM9NyQkITFjNkJtYlMySiEjOiQhMFo0XyU+KD5WJSEjOzckJCEyJUdkOXA/QEVJISM7JCExXnRMd2AjM00lISM8NyQkITJLaUNcZUlvJUghIzskITJDWCEqb3E9PEElISM9NyQkITEiPlF3X0RQJ0chIzokITEiMyFcXGhualMhIzw3JCQhMTA1PyFbJm8keSMhIzokITFqciZbVilweFEhIzw3JCQhMSJHYzcoSCQ9cSMhIzokITFbcCJvMSRwXk8hIzw3JCQhMDE3Q0NlMWkjISM5JCExSidHKnk9RCFSJCEjPDckJCExRmEzKDRuZ2EjISM6JCEyaWErKmUlUmY2JCEjPTckJCExdFkkcEF4MFkjISM6JCExI2VceFJKKWZGISM8NyQkITInKXBSejE5VFEjISM7JCEyRCdIIz1Cd0BTIyEjPTckJCExND1PI1IpZS1CISM6JCEwKnkkZTRCJ3k+ISM7NyQkITIoZj5SPXpiQ0EhIzskITJYJVtCa1QsSjohIz03JCQhMnlpRF41Ono4IyEjOyQhMSgqNCl6dFklUikqISM9NyQkITIlemU8JnopKUcxIyEjOyQhMXRbVEYmb0ZtJSEjPTckJCExZTpKaUt0eD4hIzokIjF1aDRDNCFIcyIhIz03JCQhMlonSGZRSzcrPiEjOyQiMVYiKlFcUC82ISkhIz03JCQhMilReGFwK0I6PSEjOyQiMmA6KjNyOGtOOiEjPTckJCEyTGEzPGkiKT51IiEjOyQiMiUpcFMhXHZzL0EhIz03JCQhMk11WygqPWcmZTshIzskIjFCP24/Qi8tSSEjPDckJCEyLzdDWz96emQiISM7JCIyTVpcN2cyTSFRISM9NyQkITFQdl1oM1goXCIhIzokIjJhYSMpPTxELmolISM9NyQkITEnPVB1dz1zVCIhIzokIjEqPmRYW2RjWiYhIzw3JCQhMmExOEUlMzlTOCEjOyQiMTs9KlIjKip5LmohIzw3JCQhMl82QlljPG9EIiEjOyQiMUduYWYvMzdzISM8NyQkITJaKFwqKlFXU3g2ISM7JCIwaz8pUmUjZjMpISM7NyQkITJEZj1QJ2UjUTQiISM7JCIxKSpHcyc9OCU0ISohIzw3JCQhMjM8TW83biI9NSEjOyQiMEsoNGg/alcpKiEjOzckJCExd1omNGYrYk0qISM7JCIyRTEmM1hDQXc1ISM8NyQkITFaKFwqKnklZlcmKSEjOyQiMiQ+KCo9Iyk9N2o2ISM8NyQkITEpUiEzOyVRY3UoISM7JCIybHddWyN6Uls3ISM8NyQkITFyWSRwUUQ2InAhIzskIjI9VTRUQChbTjghIzw3JCQhMVwwNkElM0Q5JyEjOyQiMjcmZSEqUU1bODkhIzw3JCQhMU95YzgmUmBOJiEjOyQiMHgkKVJgUjJcIiEjOjckJCExTHdfMDpAJ1slISM7JCIxdDg+d2NYczohIzs3JCQhMkQ2QVdHKEcqcCQhIzwkIjIjRzxyUDx1VTshIzw3JCQhMUpuTXApNFgqRyEjOyQiMlc8IlJzPmA1PCEjPDckJCEyRT5SeSc+Mnc/ISM8JCIyajIpM0E3eHU8ISM8NyQkITJiI29PdCNvUEsiISM8JCIxQ20yWlpCSD0hIzs3JCQhMTBUI1snKm8kPV8hIzwkIjJLZ1ohNDMuIyk9ISM8NyQkIjFkO0xtNyEqUkYhIzwkIjIjMzB3ZihIJ0c+ISM8NyQkIjJLclQkb3dGRDYhIzwkIjJMLTwyIkdmcj4hIzw3JCQiMlc6SmkvLWwoPSEjPCQiMiV6O2Z1PD0uPyEjPDckJCIyLnliNi5mS3UjISM8JCIyT3FraChbd0o/ISM8NyQkIjJOa0hmUVNhXyQhIzwkIjJGeDo7RiMpKVw/ISM8NyQkIjJZemU8JnpPKkglISM8JCIyUD9vJFs8QWc/ISM8NyQkIjEleWQ6cillSl4hIzskIjJ2Jj14IVJoQzEjISM8NyQkIi8lemUoZjxuZiEjOSQiMiRHPiopW10nXDAjISM8NyQkIjF6bEpqbVZGbiEjOyQiMiQ+QUUjeVAjUj8hIzw3JCQiMXVOclUoKnpNdiEjOyQiMkIqejNGJTNHLCMhIzw3JCQiMS8rKytzcUEkKSEjOyQiMW1Cay8vJHAoPiEjOzckJCIxKiopemY+Mm88KiEjOyQiMSRwUkE9I0hFPiEjOzckJCIxWCopeWQ2JWUiKiohIzskIjIwIlI3cEVAcz0hIzw3JCQiMmxLbEkmW1l3NSEjOyQiMkVPNS1Venl6IiEjPDckJCIyNkBVJTNzRGM2ISM7JCIyRyZ5OS8hUWNyIiEjPDckJCIyblQkb2MpeV9CIiEjOyQiMllGZkQlSCU+aSIhIzw3JCQiMjc9T3NPalZKIiEjOyQiMnNCU1xRVmJeIiEjPDckJCIyLjA1P2NDXVIiISM7JCIxZTNyYGRjJFIiISM7NyQkIjInSGY9eFNfIVsiISM7JCIydTd2Z3VNKls3ISM8NyQkIjJZKywtdz0qZTohIzskIjJmbUcmKiozKy02ISM8NyQkIjJvWSRweVZJTzshIzskIjBZNiU9ei5KJSohIzs3JCQiMjRHYzdMRyE+PCEjOyQiMSV6Z2lXLWRkKCEjPDckJCIyXy0wNT9zOiE9ISM7JCIxTFkmM1oxI2ViISM8NyQkIjFcJ0hmQWdjKD0hIzokIjFBIiplKyU+P2ckISM8NyQkIjJZJjM8TUdVaj4hIzskIjJOUUowPmg9NSIhIz03JCQiMXVbKFxeZW8uIyEjOiQhMiNvZjglSGBpOSIhIz03JCQiMk0hMzsjelxGNyMhIzskITF2XWVhQ3JcUiEjPDckJCIybFF4YXBDWj8jISM7JCExR2FFRTJFJHknISM8NyQkIjJZKiopej4mPXpGIyEjOyQhMVhTRnRNQEglKiEjPDckJCIwd14uakstTyMhIzkkITE5XXopPmA+RCIhIzs3JCQiMmpJaEFQIzRWQyEjOyQhMkEsbWtIeE5kIiEjPDckJCIyblMiRydIZWJfIyEjOyQhMlkiRyhmbipSLT4hIzw3JCQiMlo1QFV3OT9nIyEjOyQhMm0nXCFvKD5cOEEhIzw3JCQiMnQ/VCMzNT0ibyMhIzskITJZYEAkZWFRU0QhIzw3JCQiMmtGYjUmWzBqRiEjOyQhMXdQb2tBIz4pRyEjOzckJCIyWjM8TTdtWSVHISM7JCExJFxFT3ZrVEEkISM7NyQkIjEzPE1bTGhHSCEjOiQhMS1wMDcqcGlkJCEjOzckJCIyTXVbKDRUYi1JISM7JCExIykpUnpCKilcKVEhIzs3JCQiMmpOclUqUXomMyQhIzskITI7Ij4+XSMpR0hVISM8NyQkIjJXdFkkcGFQcEohIzskITF4X3ZfY3hwWCEjOzckJCIxMTZBLz0jKlxLISM6JCEyYXlFVFtCNypbISM8NyQkIjE9UXcjZmxJSyQhIzokITEwcXZ6JlxnPCYhIzs3JCQiMigpemY+alMrVCQhIzskITFNeDYsPT8vYiEjOzckJCIxbk1wKSopPlBbJCEjOiQhMUw4RFoweXJkISM7NyQkIjFUITM7U0UlcE4hIzokITFpem9cWkRwZyEjOzckJCIyJHlhNHo2SFhPISM7JCExeSQzPGclbz1qISM7NyQkIjJ3Zj5SJ29fR1AhIzskITEmKSp5Q2lUY2QnISM7NyQkIjJgKXBSPnB5MlEhIzskITEiUSJHWjtZLW8hIzs3JCQiMiQ0PU9za1shKlEhIzskITF1Rnd0IT4pPXEhIzs3JCQiMjEmKiopelpJaydSISM7JCExMF8iKm8nSHg+KCEjOzckJCIxJHBReE1ZJFtTISM6JCExaUZOXidceU8oISM7NyQkIjAnPVA5UlZMVCEjOSQhMU81KipHL2k8diEjOzckJCIxJEdjNypHXTJVISM6JCExTlBbd1s6Q3chIzs3JCQiMSdReGFUKlwoRyUhIzokITFmJlE2VVFGcighIzs3JCQiMTtMbV9POXFWISM6JCExVGRUKFwvUHgoISM7NyQkIjEmKW9QOlwqNFglISM6JCExZSJHP3M1OyF5ISM7NyQkIjJOdFkkcEVBSFghIzskITBQVXcmMzooeighIzo3JCQiMTxMbV83MztZISM6JCExUCV5JkhGNGF4ISM7NyQkIjFDWydIYkZUcCUhIzokITEmUShRIj5hJnp3ISM7NyQkIjAkZj1QJ2V1eCUhIzkkITFaWiNIVWEyYyghIzs3JCQiMkRpQ1wpKm9IJlshIzskITEvIkhKJlJqO3UhIzs3JCQiMSdcKiopUjxfTlwhIzokITE6U0A6KFF4QCghIzs3JCQiMUFVJSlbdT44XSEjOiQhMUFpJlJxRCcqKXAhIzs3JCQiMVsnSGYlNFIlNCYhIzokITFYYUguSzMybiEjOzckJCIxYTI6SUN4dF4hIzokITFRKSk+bjRuJlEnISM7NyQkIjEoPVB1W3hvRCYhIzokITFfW0Z4TWYqKmYhIzs3JCQiMXNWKFtgPHBMJiEjOiQhL1QmW0xOInliISM5NyQkIjElND5RL3EoPWEhIzokIS93WyJwcl00JiEjOTckJCIydkpqRXhXKipcJiEjOyQhMWtYUTtJS2lYISM7NyQkIjFbKiopeiJmYHViISM6JCEyYEV3MihmPkNTISM8NyQkIjEtMjkpeUQrbSYhIzokITI5YyV6PGtaW0whIzw3JCQiMG9OciUqKVtPZCEjOSQhMlhYMSFSdz8qbyMhIzw3JCQiMW9OckFZLD1lISM6JCEyZCxTXVtTdiM+ISM8NyQkIjE9TW8nNFhnKmUhIzokITJDaVFWXSQ+UzYhIzw3JCQiMVsoXCo0em8jKWYhIzokITJ5cFtlZHZDKD4hIz03JCQiMShcKiopPlVyZGchIzokIjEjKVFTellHKHknISM8NyQkIjImPVF3XyhwRzknISM7JCIyYXAqKSp5YyFmdCIhIzw3JCQiMTdDW3coei9BJyEjOiQiMShbLDgmZSI9diMhIzs3JCQiMVB3X1hIUDBqISM6JCIyJClHd1VNJmY4UiEjPDckJCIxTm9PJFJAJ3lqISM6JCIxaik0WWghNGBcISM7NyQkIjFLbUtERy9payEjOiQiMXkkSG1EJmZzaCEjOzckJCIxZDdENVFpVWwhIzokIjFDQ15aalkhUSghIzs3JCQiMCV5Y2BAOkJtISM5JCIxdSsqUTdxMWgpISM7NyQkIjEiPlF3QyVRLm4hIzokIjEpMyZmKVJJSyYpKiEjOzckJCIxOEJZc0BZIXknISM6JCIyalkqenhjcjA2ISM7NyQkIjFpQVhdYXlqbyEjOiQiMiU0UHRoJmVqQiIhIzs3JCQiMS0vM3cmKT5WcCEjOiQiMiNRaSc0IT11ZzghIzs3JCQiMSV5Yzg6eG4tKCEjOiQiMGw7LFJiM1wiISM5NyQkIjEyN0MpKWVWLXIhIzokIjJ2UTUsYXR0ZyIhIzs3JCQiLyp6ZiZIMCc9KCEjOCQiMjEhRy5LVDZNPCEjOzckJCIxLi8zT045bXMhIzokIjI0KT1CXD0qRyY9ISM7NyQkIjFRdFl0IlJnTSghIzokIjJGOjBCJ3lAbz4hIzs3JCQiMTQ+UXcvXEh1ISM6JCIwbGEvI0dsJTMjISM5NyQkIjFBVidHPF9qXSghIzokIjBaRmpDd3c9IyEjOTckJCIxJWY9UDFwXWUoISM6JCIxc0NNImY/JSlHIyEjOjckJCIxN0Vfaz0pPm4oISM6JCIyaiJmKGUneU8kUiMhIzs3JCQiMW5KaidHdTF2KCEjOiQiMkU6cjNmdD9bIyEjOzckJCIxLjI5Rz86SnkhIzokIjJhMjA4KWUnZmMjISM7NyQkIjFlOUg9ZSpIInohIzokIjIlZiE+KkddZFZFISM7NyQkIjEmcFF4PUUjKSl6ISM6JCIxWTBSJjMydnEjISM6NyQkIjFPclVEJD4lbyEpISM6JCIwXFwjKT5sc3cjISM5NyQkIjEmcFF4LS0hWyIpISM6JCIyKFsjSF5xQHUiRyEjOzckJCIxWyY0PnlJSkIpISM6JCIyOjR3JVxQSmdHISM7NyQkIjEkXClwPktEMyQpISM6JCIxUjh1VypmJCkpRyEjOjckJCIxRFolKm81Zl4kKSEjOiQiMVVJbjpQOitIISM6NyQkIjFjND49KkdcUikhIzokIjJkWCp6ViI+JzNIISM7NyQkIjFcJ0hmKXouTSUpISM6JCIydk03JW8+SzhIISM7NyQkIjFVJG9PMFpKWikhIzokIjJtNCNwPWY7OkghIzs3JCQiLylmPlZWPV4pISM4JCIyMCY0WChmMlQiSCEjOzckJCIxZDdENSlSMGIpISM6JCIybmoiSElMNjVIISM7NyQkIjEyN0NbMzojZikhIzokIjJuKG91UlVZLUghIzs3JCQiMWU2QicpPXdMJykhIzokIjFbbGRgbUQiKkchIzo3JCQiMTtMbTcxSzwoKSEjOiQiMXZLI0c5aHcmRyEjOjckJCIxTnFTIm9ZTHopISM6JCIyQ1RHKFI4djhHISM7NyQkIjFNbk0qKUgzdSkpISM6JCIxOCZbaW0wRXYjISM6NyQkIjF4YDJOUChHJiopISM6JCIyWkVnb1FQem4jISM7NyQkIjFuTG5NUEdRISohIzokIjImWyU0L1AhZnpEISM7NyQkIjBGYTM4KD03IiohIzkkIjE7TUInXEkkekMhIzo3JCQiMS4yOW95MSg+KiEjOiQiMiYpZk9RR3doTSMhIzs3JCQiMGY8TkFnb0YqISM5JCIydHgsLStSRz8jISM7NyQkIjEmemU8KD0pZU4qISM6JCIxQXcpKVxtJEgvIyEjOjckJCIxZTpKI1FtXFYqISM6JCIySm8yQCkqUlcnPSEjOzckJCIxRmEzeHZpOiYqISM6JCIyXEg7VXNdRm0iISM7NyQkIjExOEUjNEY2ZyohIzokIjJLPFIvIkdqRTkhIzs3JCQiMSRRd194QCZ6JyohIzokIjJ4K1c5JVFLKj0iISM7NyQkIjFYKW9QUjJwdiohIzokIjFvSkpMKj4oXCQqISM7NyQkIjBtSmpNSidSKSohIzkkIjE6aCg9Im90LmshIzs3JCQiLy8zO188QSoqISM4JCIxVi43OyJvUUEkISM7NyQkIiQrIiEiIiQiMVA7NzYmeioqKioqISNDLSUnTEVHRU5ERzYjLSUpX1RZUEVTRVRHNiMtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliRzYiNjUtSSNtc0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkc2IjYjUUdpbnRlcnBvbGF0aW5nfnBvbHlub21pYWx+LX5jdWJpY3NwbGluZTYiLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuNiIvJSVzaXplR1EjMTI2Ii8lJWJvbGRHUSZmYWxzZTYiLyUnaXRhbGljR1EmZmFsc2U2Ii8lKnVuZGVybGluZUdRJmZhbHNlNiIvJSpzdWJzY3JpcHRHUSZmYWxzZTYiLyUsc3VwZXJzY3JpcHRHUSZmYWxzZTYiLyUrZm9yZWdyb3VuZEdRKFswLDAsMF02Ii8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdNiIvJSdvcGFxdWVHUSZmYWxzZTYiLyUrZXhlY3V0YWJsZUdRJmZhbHNlNiIvJSlyZWFkb25seUdRJmZhbHNlNiIvJSljb21wb3NlZEdRJmZhbHNlNiIvJSpjb252ZXJ0ZWRHUSZmYWxzZTYiLyUraW1zZWxlY3RlZEdRJmZhbHNlNiIvJSxwbGFjZWhvbGRlckdRJmZhbHNlNiIvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSZmYWxzZTYiLyUsbWF0aHZhcmlhbnRHUSdub3JtYWw2Ii0lJkNPTE9SRzYmJSRSR0JHJCIoaD4hSCEiKCQiKUMpZXElISIpJCIiISEiIi0lKlRISUNLTkVTU0c2IyIiIy0lJUZPTlRHNiQlJlRJTUVTRyIjNy0lJlNUWUxFRzYjJSVMSU5FRy0lJVZJRVdHNiQ7JCEkKyIhIiIkIiQrIiEiIjskISQrIiEiIiQiJCsiISIiLSYlJl9BWElTRzYjIiIiNictJStfR1JJRExJTkVTRzYnLSUmQ09MT1JHNiYlJFJHQkckIiIhISIiJCIiISEiIiQiIiEhIiItJSpMSU5FU1RZTEVHNiMiIiEtJSpUSElDS05FU1NHNiMiIiEtJS1UUkFOU1BBUkVOQ1lHNiMkIiIhISIiLSUpX1ZJU0lCTEVHNiMiIiQtJSZDT0xPUkc2JiUkUkdCRyQiIiEhIiIkIiIhISIiJCIiISEiIi0lKkxJTkVTVFlMRUc2IyIiIS0lKlRISUNLTkVTU0c2IyIiIS0lLVRSQU5TUEFSRU5DWUc2IyQiIiEhIiItJiUmX0FYSVNHNiMiIiM2Jy0lK19HUklETElORVNHNictJSZDT0xPUkc2JiUkUkdCRyQiIiEhIiIkIiIhISIiJCIiISEiIi0lKkxJTkVTVFlMRUc2IyIiIS0lKlRISUNLTkVTU0c2IyIiIS0lLVRSQU5TUEFSRU5DWUc2IyQiIiEhIiItJSlfVklTSUJMRUc2IyIiKC0lJkNPTE9SRzYmJSRSR0JHJCIiISEiIiQiIiEhIiIkIiIhISIiLSUqTElORVNUWUxFRzYjIiIhLSUqVEhJQ0tORVNTRzYjIiIhLSUtVFJBTlNQQVJFTkNZRzYjJCIiISEiIi0lK0FYRVNMQUJFTFNHNiUtSSNtaUc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkc2IjY1USJ4NiIvJSdmYW1pbHlHUShERUZBVUxUNiIvJSVzaXplR1EjMTI2Ii8lJWJvbGRHUSZmYWxzZTYiLyUnaXRhbGljR1EldHJ1ZTYiLyUqdW5kZXJsaW5lR1EmZmFsc2U2Ii8lKnN1YnNjcmlwdEdRJmZhbHNlNiIvJSxzdXBlcnNjcmlwdEdRJmZhbHNlNiIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXTYiLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV02Ii8lJ29wYXF1ZUdRJmZhbHNlNiIvJStleGVjdXRhYmxlR1EmZmFsc2U2Ii8lKXJlYWRvbmx5R1EmZmFsc2U2Ii8lKWNvbXBvc2VkR1EmZmFsc2U2Ii8lKmNvbnZlcnRlZEdRJmZhbHNlNiIvJStpbXNlbGVjdGVkR1EmZmFsc2U2Ii8lLHBsYWNlaG9sZGVyR1EmZmFsc2U2Ii8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdRJmZhbHNlNiIvJSxtYXRodmFyaWFudEdRJ2l0YWxpYzYiLUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHNiI2NVEieTYiLyUnZmFtaWx5R1EoREVGQVVMVDYiLyUlc2l6ZUdRIzEyNiIvJSVib2xkR1EmZmFsc2U2Ii8lJ2l0YWxpY0dRJXRydWU2Ii8lKnVuZGVybGluZUdRJmZhbHNlNiIvJSpzdWJzY3JpcHRHUSZmYWxzZTYiLyUsc3VwZXJzY3JpcHRHUSZmYWxzZTYiLyUrZm9yZWdyb3VuZEdRKFswLDAsMF02Ii8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdNiIvJSdvcGFxdWVHUSZmYWxzZTYiLyUrZXhlY3V0YWJsZUdRJmZhbHNlNiIvJSlyZWFkb25seUdRJmZhbHNlNiIvJSljb21wb3NlZEdRJmZhbHNlNiIvJSpjb252ZXJ0ZWRHUSZmYWxzZTYiLyUraW1zZWxlY3RlZEdRJmZhbHNlNiIvJSxwbGFjZWhvbGRlckdRJmZhbHNlNiIvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSZmYWxzZTYiLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWM2Ii0lJUZPTlRHNiUlKERFRkFVTFRHJShERUZBVUxURyIjNy0lKV9DQVBUSU9ORzYkLSUpX1RZUEVTRVRHNiMtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliRzYiNjYtSSNtc0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkc2IjYjUVhDdWJpY35zcGxpbmV+aW50ZXJwb2xhdGlvbn5jbGFtcGVkfmJvdW5kYXJ5fmNvbmRpdGlvbnMuNiIvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW42Ii8lJXNpemVHUSMxMjYiLyUlYm9sZEdRJmZhbHNlNiIvJSdpdGFsaWNHUSZmYWxzZTYiLyUqdW5kZXJsaW5lR1EmZmFsc2U2Ii8lKnN1YnNjcmlwdEdRJmZhbHNlNiIvJSxzdXBlcnNjcmlwdEdRJmZhbHNlNiIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXTYiLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV02Ii8lJ29wYXF1ZUdRJmZhbHNlNiIvJStleGVjdXRhYmxlR1EmZmFsc2U2Ii8lKXJlYWRvbmx5R1EmZmFsc2U2Ii8lKWNvbXBvc2VkR1EmZmFsc2U2Ii8lKmNvbnZlcnRlZEdRJmZhbHNlNiIvJStpbXNlbGVjdGVkR1EmZmFsc2U2Ii8lLHBsYWNlaG9sZGVyR1EmZmFsc2U2Ii8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdRJmZhbHNlNiIvJTBmb250X3N0eWxlX25hbWVHUSVUZXh0NiIvJSxtYXRodmFyaWFudEdRJ25vcm1hbDYiLSUtVFJBTlNQQVJFTkNZRzYjJCIiISEiIi0lKlRISUNLTkVTU0c2IyIiIy0lJUZPTlRHNiQlJlRJTUVTRyIjNy0lKkFYRVNTVFlMRUc2IyUnTk9STUFMRy0lKFNDQUxJTkdHNiMlLENPTlNUUkFJTkVERy0lKV9WSVNJQkxFRzYjIiIiLSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIkZyQhIiItJSlCT1VORFNfWUc2IyQiJEkiISIiLSUtQk9VTkRTX1dJRFRIRzYjJCIlSWUhIiItJS5CT1VORFNfSEVJR0hURzYjJCIlSWUhIiItJSlDSElMRFJFTkc2Ii0lK0FOTk9UQVRJT05HNictJSlCT1VORFNfWEc2IyQiIiEhIiItJSlCT1VORFNfWUc2IyQiIiEhIiItJS1CT1VORFNfV0lEVEhHNiMkIiVJZSEiIi0lLkJPVU5EU19IRUlHSFRHNiMkIiVJZSEiIi0lKUNISUxEUkVORzYiRzYimymodule:-RClamp(); Valor da bra\303\247adeira direitaLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiPUYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTkYyRjw=mymodule:-Reset(); Tipo de spline c\303\272bico natural,clampedmymodule:-Type();
JSFH