{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":61173,"title":"Built-out FFTShift","description":"The task in hand is to replicate the built-in function - fftshift (with single input), but without using the function.\r\nHowever, restrictions are not just limited to this, see test suite for banned functions.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 25.5px; transform-origin: 408px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 161.808px 8px; transform-origin: 161.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe task in hand is to replicate the built-in function - \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://in.mathworks.com/help/matlab/ref/fftshift.html\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003efftshift\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.867px 8px; transform-origin: 152.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (with single input), but without using the function.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.7px 8px; transform-origin: 256.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHowever, restrictions are not just limited to this, see test suite for banned functions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = shiftfft(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('shiftfft.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'while') || contains(filetext, 'for ') || ...\r\n          contains(filetext, 'cellfun') || contains(filetext, 'arrayfun') || ...\r\n          contains(filetext, 'rowfun') || contains(filetext, 'structfun') || ...\r\n          contains(filetext, 'str2num') || contains(filetext, 'fftshift'); \r\nassert(~illegal)\r\n\r\n%%\r\nx = 1;\r\nassert(isequal(shiftfft(x),x^x))\r\n\r\n%%\r\nx = magic(3);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = rand(4,4,4);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = toeplitz(1:6);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = zeros(5,5,5,5,5);\r\nassert(isequal(shiftfft(x),x))\r\n\r\n%%\r\nx = primes(100);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = hadamard(8);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = randi(randi(7), 1, randi(9)*randi(10));\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = eye(2);\r\ny = fftshift(inv(x));\r\nassert(isequal(shiftfft(x),y))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":223089,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-01-30T17:21:58.000Z","updated_at":"2026-02-24T17:30:34.000Z","published_at":"2026-01-30T17:21:58.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 25.5px; transform-origin: 408px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 161.808px 8px; transform-origin: 161.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe task in hand is to replicate the built-in function - \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://in.mathworks.com/help/matlab/ref/fftshift.html\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003efftshift\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.867px 8px; transform-origin: 152.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (with single input), but without using the function.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.7px 8px; transform-origin: 256.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHowever, restrictions are not just limited to this, see test suite for banned functions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = shiftfft(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('shiftfft.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'while') || contains(filetext, 'for ') || ...\r\n          contains(filetext, 'cellfun') || contains(filetext, 'arrayfun') || ...\r\n          contains(filetext, 'rowfun') || contains(filetext, 'structfun') || ...\r\n          contains(filetext, 'str2num') || contains(filetext, 'fftshift'); \r\nassert(~illegal)\r\n\r\n%%\r\nx = 1;\r\nassert(isequal(shiftfft(x),x^x))\r\n\r\n%%\r\nx = magic(3);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = rand(4,4,4);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = toeplitz(1:6);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = zeros(5,5,5,5,5);\r\nassert(isequal(shiftfft(x),x))\r\n\r\n%%\r\nx = primes(100);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = hadamard(8);\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = randi(randi(7), 1, randi(9)*randi(10));\r\ny = fftshift(x);\r\nassert(isequal(shiftfft(x),y))\r\n\r\n%%\r\nx = eye(2);\r\ny = fftshift(inv(x));\r\nassert(isequal(shiftfft(x),y))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":223089,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-01-30T17:21:58.000Z","updated_at":"2026-02-24T17:30:34.000Z","published_at":"2026-01-30T17:21:58.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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