{"id":4463,"date":"2026-09-07T04:59:05","date_gmt":"2026-09-07T04:59:05","guid":{"rendered":"https:\/\/www.goncalo.pt\/por\/?p=4463"},"modified":"2026-09-07T10:53:42","modified_gmt":"2026-09-07T10:53:42","slug":"2026-09-04-apresentacao-do-mat-mathematical-analysis-toolkit-com-fractais-criado-em-c-cpp","status":"publish","type":"post","link":"https:\/\/www.goncalo.pt\/por\/2026\/09\/07\/2026-09-04-apresentacao-do-mat-mathematical-analysis-toolkit-com-fractais-criado-em-c-cpp\/","title":{"rendered":"2026-09-04 &#8211; Apresenta\u00e7\u00e3o do MAT (Mathematical Analysis Toolkit), com Fractais, criado em C\/C++&#8230;"},"content":{"rendered":"\n<p>Ol\u00e1 a todos,<\/p>\n\n\n\n<p>Como tradicional imagem que partilho no meu anivers\u00e1rio, deixo aqui como vai o estado do meu novo software de visualiza\u00e7\u00e3o Matem\u00e1tica que tenho de ter acabado antes de poder escrever o meu livro, que n\u00e3o s\u00f3 permitir\u00e1 a visualiza\u00e7\u00e3o de fractais, como tamb\u00e9m ter\u00e1 outras funcionalidades matem\u00e1ticas.<\/p>\n\n\n\n<p>Dei-lhe o nome de MAT (Mathematical Analysis Toolkit), pois abranger\u00e1 v\u00e1rias \u00e1reas da Matem\u00e1tica, apesar de dar mais \u00eanfase aos fractais pois esta ferramenta foi iniciada como um engine visual de fractais, com o nome de &#8220;Fractal Blaster&#8221;. N\u00e3o perguntem porqu\u00ea. \ud83d\ude1b<\/p>\n\n\n\n<p>Esta \u00e9 a tradicional imagem que partilho pelo meu anivers\u00e1rio, que j\u00e1 foi h\u00e1 uns dias, e que costumava ter algo a ver com o meu Game Engine. Eu passava parte do dia de anivers\u00e1rio e alguns outros dias especiais, a programar no meu Game Engine, o meu projecto favorito. Mas devido \u00e0 falta de tempo e s\u00f3 mexer neste ultimamente, partilhei deste projecto.<\/p>\n\n\n\n<p>Este software foi criado do zero em C\/C++, p\u00edxel a p\u00edxel (sem bibliotecas, menus e tudo feitos p\u00edxel a p\u00edxel) e j\u00e1 tem um sistema GUI aut\u00f3nomo, com menus com mais de 100 entradas nas v\u00e1rias \u00e1reas (parte delas para fractais como podem ver, os quais uso alguns no exemplo por serem bonitos), e ter\u00e1 certamente um manual de umas centenas de p\u00e1ginas para o utilizador final, de t\u00e3o complexo que est\u00e1 a ficar.<\/p>\n\n\n\n<p>Acredito tamb\u00e9m que poder\u00e1 ser uma ferramenta incr\u00edvel (e gratuita) para estudantes de Matem\u00e1tica, e que os vai motivar mais nos seus estudos, pois como referi, quero que sirva n\u00e3o s\u00f3 para os fractais como tamb\u00e9m para v\u00e1rias outras \u00e1reas.<\/p>\n\n\n\n<p>E criei-o porque como vos disse, eu crio as minhas pr\u00f3prias ferramentas, e em especial porque assim elas fazem exactamente o que quero, e n\u00e3o tinha nada no mercado que o fizesse.<\/p>\n\n\n\n<p>Eu tamb\u00e9m preciso de o ver terminado porque eu n\u00e3o posso prosseguir o meu livro relacionado com Matem\u00e1tica e F\u00edsica, sem acabar este projecto, pois al\u00e9m das milhares de p\u00e1ginas que tenho para resumir, tenho 1001 gr\u00e1ficos n\u00e3o normalizados, e este software vai-me permitir normalizar os gr\u00e1ficos todos com o mesmo layout, e ainda catalogar e guardar os mesmos. Foi para esse cat\u00e1logo que desenvolvi o algoritmo compressor de dados que demonstrei h\u00e1 dias comprimir 25 vezes mais que o PNG em certos casos.<\/p>\n\n\n\n<p>Assim, este software servir\u00e1 n\u00e3o s\u00f3 para testar v\u00e1rias f\u00f3rmulas matem\u00e1ticas, e at\u00e9 fractais, como tamb\u00e9m para guardar e catalogar as mesmas, os seus desenhos, etc, at\u00e9 com sistemas com categorias e tags, para que eu depois possa facilmente ao escrever o meu livro, ir buscar as mesmas rapidamente.<\/p>\n\n\n\n<p>Assim, pode parecer que perco tempo a desenvolver o software quando podia estar a escrever o livro, mas na realidade acredito que vou poupar tempo depois na escrita do livro ao usar este software para organizar as imagens de gr\u00e1ficos, e at\u00e9 as normalizar visualmente para inser\u00e7\u00e3o no livro.<\/p>\n\n\n\n<p>Em simult\u00e2neo, quando publicar o livro, oferecerei o software para que possa ser usado por todos, pois como sabem, gosto de oferecer o que crio.<\/p>\n\n\n\n<p>Hoje ao inv\u00e9s de partilhar uma melhoria no meu Game Engine, partilhei a evolu\u00e7\u00e3o deste meu MAT (Mathematical Analysis Toolkit), e espero que gostem do aspecto com que est\u00e1 a ficar.<\/p>\n\n\n\n<p>Provavelmente nem me darei ao trabalho de o compilar para Windows se vir que me d\u00e1 trabalho, mas talvez o fa\u00e7a, logo se v\u00ea, mas ser\u00e1 disponibilizado para Linux garantidamente.<\/p>\n\n\n\n<p>Quero ver se termino estas 100+ op\u00e7\u00f5es r\u00e1pido para depois retomar o livro j\u00e1 com ele a ajudar-me, e ap\u00f3s publicar o livro volto a desenvolver nele ainda outras capacidades extra para o tornar mais completo um dia. Mas pelo menos para fractais e outras coisas j\u00e1 ser\u00e1 muito funcional.<\/p>\n\n\n\n<p>J\u00e1 agora deixo um exemplo das fontes que criei para usar c\u00e1:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1068\" height=\"723\" src=\"https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/06\/2026-06-08-Improving-my-Game-Engine-and-Fractal-Explorer-with-Bitmap-Fonts-and-GUI-Menus-Cpp-Thumbnail.png\" alt=\"2026-06-08 - Uso de fontes Bitmap, melhoria de performance, e menus GUI no meu Explorador de Fractais e Game Engine em C++...\" class=\"wp-image-4423\" style=\"width:1141px;height:auto\" srcset=\"https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/06\/2026-06-08-Improving-my-Game-Engine-and-Fractal-Explorer-with-Bitmap-Fonts-and-GUI-Menus-Cpp-Thumbnail.png?v=1780940906 1068w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/06\/2026-06-08-Improving-my-Game-Engine-and-Fractal-Explorer-with-Bitmap-Fonts-and-GUI-Menus-Cpp-Thumbnail-300x203.png?v=1780940906 300w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/06\/2026-06-08-Improving-my-Game-Engine-and-Fractal-Explorer-with-Bitmap-Fonts-and-GUI-Menus-Cpp-Thumbnail-1024x693.png?v=1780940906 1024w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/06\/2026-06-08-Improving-my-Game-Engine-and-Fractal-Explorer-with-Bitmap-Fonts-and-GUI-Menus-Cpp-Thumbnail-768x520.png?v=1780940906 768w\" sizes=\"(max-width: 1068px) 100vw, 1068px\" \/><figcaption class=\"wp-element-caption\">2026-06-08 &#8211; Uso de fontes Bitmap, melhoria de performance, e menus GUI no meu Explorador de Fractais e Game Engine em C++&#8230;<\/figcaption><\/figure>\n\n\n\n<p>E um exemplo do sistema de compress\u00e3o que criei para comprimir at\u00e9 25 vezes mais que o PNG para usar tamb\u00e9m no software:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/07\/2026-07-09-Compressing-More-Complex-Images-With-My-Own-Image-Compressor-Better-Than-PNG-in-Cpp-1024x576.png\" alt=\"2026-07-09 - My Image compressor software showing it can beat PNG image format also with complex images, to be used for example in my fractal software...\" class=\"wp-image-4458\" style=\"width:1138px;height:auto\" srcset=\"https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/07\/2026-07-09-Compressing-More-Complex-Images-With-My-Own-Image-Compressor-Better-Than-PNG-in-Cpp-1024x576.png 1024w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/07\/2026-07-09-Compressing-More-Complex-Images-With-My-Own-Image-Compressor-Better-Than-PNG-in-Cpp-300x169.png 300w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/07\/2026-07-09-Compressing-More-Complex-Images-With-My-Own-Image-Compressor-Better-Than-PNG-in-Cpp-768x432.png 768w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/07\/2026-07-09-Compressing-More-Complex-Images-With-My-Own-Image-Compressor-Better-Than-PNG-in-Cpp-1536x864.png 1536w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/07\/2026-07-09-Compressing-More-Complex-Images-With-My-Own-Image-Compressor-Better-Than-PNG-in-Cpp.png 1920w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">2026-07-09 &#8211; My Image compressor software showing it can beat PNG image format also with complex images, to be used for example in my fractal software&#8230;<\/figcaption><\/figure>\n\n\n\n<p>Um dia trarei novidades, hasta!<\/p>\n\n\n\n<p>2026-09-07.<\/p>\n\n\n\n<p>Publicado no LinkedIn no mesmo dia, em:<\/p>\n\n\n\n<p><a href=\"https:\/\/lnkd.in\/p\/eaDkwewV\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/lnkd.in\/p\/eaDkwewV<\/a><\/p>\n\n\n\n<p>Pr\u00f3ximo post relacionado com este software:<\/p>\n\n\n\n<p>(A ser colocado mais tarde).<\/p>\n\n\n\n<p>\u00daltimo post associado ao meu futuro livro de Matem\u00e1tica e F\u00edsica:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-gon-alo-ferreira wp-block-embed-gon-alo-ferreira\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"EnXN8FkYKq\"><a href=\"https:\/\/www.goncalo.pt\/por\/2026\/01\/27\/2026-01-27-o-primeiro-passo-na-escrita-do-meu-livro-de-fisica-conceptual-teorica-e-matematica\/\">2026-01-27 &#8211; O primeiro passo na escrita do meu livro de F\u00edsica Conceptual\/Te\u00f3rica e Matem\u00e1tica&#8230;<\/a><\/blockquote><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;2026-01-27 &#8211; O primeiro passo na escrita do meu livro de F\u00edsica Conceptual\/Te\u00f3rica e Matem\u00e1tica&#8230;&#8221; &#8212; Gon\u00e7alo Ferreira\" src=\"https:\/\/www.goncalo.pt\/por\/2026\/01\/27\/2026-01-27-o-primeiro-passo-na-escrita-do-meu-livro-de-fisica-conceptual-teorica-e-matematica\/embed\/#?secret=nCjKjFCoIb#?secret=EnXN8FkYKq\" data-secret=\"EnXN8FkYKq\" width=\"600\" height=\"338\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">2026-01-27 \u2013 O primeiro passo na escrita do meu livro de F\u00edsica Conceptual\/Te\u00f3rica e Matem\u00e1tica\u2026<br><a href=\"https:\/\/www.goncalo.pt\/por\/2026\/01\/27\/2026-01-27-o-primeiro-passo-na-escrita-do-meu-livro-de-fisica-conceptual-teorica-e-matematica\/\"><br><\/a><\/figcaption><\/figure>\n\n\n\n<p>\u00daltimo post associado de alguma forma a este software:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-gon-alo-ferreira wp-block-embed-gon-alo-ferreira\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"mqXiAIDN1j\"><a href=\"https:\/\/www.goncalo.pt\/por\/2026\/06\/08\/2026-06-08-uso-de-fontes-bitmap-melhoria-de-performance-e-menus-gui-no-meu-explorador-de-fractais-e-game-engine-em-cpp\/\">2026-06-08 &#8211; Uso de fontes Bitmap, melhoria de performance, e menus GUI no meu Explorador de Fractais e Game Engine em C++&#8230;<\/a><\/blockquote><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;2026-06-08 &#8211; Uso de fontes Bitmap, melhoria de performance, e menus GUI no meu Explorador de Fractais e Game Engine em C++&#8230;&#8221; &#8212; Gon\u00e7alo Ferreira\" src=\"https:\/\/www.goncalo.pt\/por\/2026\/06\/08\/2026-06-08-uso-de-fontes-bitmap-melhoria-de-performance-e-menus-gui-no-meu-explorador-de-fractais-e-game-engine-em-cpp\/embed\/#?secret=Feaw3HYV4V#?secret=mqXiAIDN1j\" data-secret=\"mqXiAIDN1j\" width=\"600\" height=\"338\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">2026-06-08 \u2013 Uso de fontes Bitmap, melhoria de performance, e menus GUI no meu Explorador de Fractais e Game Engine em C++\u2026<br><a href=\"https:\/\/www.goncalo.pt\/por\/2026\/06\/08\/2026-06-08-uso-de-fontes-bitmap-melhoria-de-performance-e-menus-gui-no-meu-explorador-de-fractais-e-game-engine-em-cpp\/\"><br><\/a><\/figcaption><\/figure>\n\n\n\n<p>Outro post anterior relacionado com o software (neste caso referente ao compressor de dados que nele uso):<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-gon-alo-ferreira wp-block-embed-gon-alo-ferreira\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"zMZH0F2XvO\"><a href=\"https:\/\/www.goncalo.pt\/por\/2026\/07\/07\/2026-07-07-comprimindo-imagens-25-vezes-mais-que-o-formato-png-2500x-mais-pequeno-que-um-bmp-99-96-de-compressao-com-o-meu-formato-de-imagem-tsf-em-cpp\/\">2026-07-07 &#8211; Comprimindo imagens 25 vezes mais que o formato PNG, 2500x mais pequeno que um BMP, 99,96% de Compress\u00e3o com o meu Formato de Imagem TSF em C++&#8230;<\/a><\/blockquote><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;2026-07-07 &#8211; Comprimindo imagens 25 vezes mais que o formato PNG, 2500x mais pequeno que um BMP, 99,96% de Compress\u00e3o com o meu Formato de Imagem TSF em C++&#8230;&#8221; &#8212; Gon\u00e7alo Ferreira\" src=\"https:\/\/www.goncalo.pt\/por\/2026\/07\/07\/2026-07-07-comprimindo-imagens-25-vezes-mais-que-o-formato-png-2500x-mais-pequeno-que-um-bmp-99-96-de-compressao-com-o-meu-formato-de-imagem-tsf-em-cpp\/embed\/#?secret=HJBXxaFwe5#?secret=zMZH0F2XvO\" data-secret=\"zMZH0F2XvO\" width=\"600\" height=\"338\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">2026-07-07 \u2013 Comprimindo imagens 25 vezes mais que o formato PNG, 2500x mais pequeno que um BMP, 99,96% de Compress\u00e3o com o meu Formato de Imagem TSF em C++\u2026<br><a href=\"https:\/\/www.goncalo.pt\/por\/2026\/07\/07\/2026-07-07-comprimindo-imagens-25-vezes-mais-que-o-formato-png-2500x-mais-pequeno-que-um-bmp-99-96-de-compressao-com-o-meu-formato-de-imagem-tsf-em-cpp\/\"><br><\/a><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/09\/2026-09-06-Mathematical-Analysis-Toolkit-development-stage-with-Fractals-by-Goncalo-Ferreira-using-C-Cpp-1024x576.png\" alt=\"2026-09-04 - Apresenta\u00e7\u00e3o do MAT (Mathematical Analysis Toolkit), com Fractais, criado em C\/C++...\" class=\"wp-image-4464\" style=\"width:1140px;height:auto\" srcset=\"https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/09\/2026-09-06-Mathematical-Analysis-Toolkit-development-stage-with-Fractals-by-Goncalo-Ferreira-using-C-Cpp-1024x576.png 1024w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/09\/2026-09-06-Mathematical-Analysis-Toolkit-development-stage-with-Fractals-by-Goncalo-Ferreira-using-C-Cpp-300x169.png 300w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/09\/2026-09-06-Mathematical-Analysis-Toolkit-development-stage-with-Fractals-by-Goncalo-Ferreira-using-C-Cpp-768x432.png 768w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/09\/2026-09-06-Mathematical-Analysis-Toolkit-development-stage-with-Fractals-by-Goncalo-Ferreira-using-C-Cpp-1536x864.png 1536w, https:\/\/www.goncalo.pt\/por\/wp-content\/uploads\/2026\/09\/2026-09-06-Mathematical-Analysis-Toolkit-development-stage-with-Fractals-by-Goncalo-Ferreira-using-C-Cpp.png 1920w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">2026-09-04 &#8211; 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