Submission #5787186
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;; -*- coding: utf-8 -*- (eval-when (:compile-toplevel :load-toplevel :execute) (defparameter OPT #+swank '(optimize (speed 3) (safety 2)) #-swank '(optimize (speed 3) (safety 0) (debug 0))) #+swank (progn (ql:quickload '(:cl-debug-print :fiveam)) (shadow :run) (use-package :fiveam))) #+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax) ;; BEGIN_INSERTED_CONTENTS ;;; ;;; Unfinished. Use fft-recursive.lisp instead. ;;; (deftype fft-float () 'double-float) (declaim (inline power2-p)) (defun power2-p (x) "Checks if X is a power of 2." (zerop (logand x (- x 1)))) (defun general-dft! (f sign) (declare #.OPT ((simple-array (complex fft-float) (*)) f) ((integer -1 1) sign)) (prog1 f (let* ((n (length f)) (theta (* sign (/ (coerce (* 2 pi) 'fft-float) n)))) (declare (fft-float theta)) (assert (power2-p n)) (do ((m n (ash m -1))) ((= m 1)) (declare ((integer 0 #.most-positive-fixnum) m)) (let ((mh (ash m -1))) (declare ((integer 0 #.most-positive-fixnum) mh)) (dotimes (i mh) (let ((w (cis (* i theta)))) (do ((j i (+ j m))) ((>= j n)) (declare ((integer 0 #.most-positive-fixnum) j)) (let* ((k (+ j mh)) (xt (- (aref f j) (aref f k)))) (declare ((integer 0 #.most-positive-fixnum) k)) (incf (aref f j) (aref f k)) (setf (aref f k) (* w xt)))))) (setq theta (* theta 2)))) (let ((i 0)) (declare ((integer 0 #.most-positive-fixnum) i)) (loop for j from 1 below (- n 1) do (loop for k of-type (integer 0 #.most-positive-fixnum) = (ash n -1) then (ash k -1) while (> k (setq i (logxor i k)))) (when (< j i) (rotatef (aref f i) (aref f j)))))))) (declaim (inline dft!)) (defun dft! (f) (if (zerop (length f)) f (general-dft! f 1))) (declaim (inline inverse-dft!)) (defun inverse-dft! (f) (declare ((simple-array (complex fft-float) (*)) f)) (if (zerop (length f)) f (let* ((n (length f)) (/n (/ (coerce n 'fft-float)))) (general-dft! f -1) (dotimes (i n f) (setf (aref f i) (* (aref f i) /n)))))) (declaim (inline convolute!)) (defun convolute! (g h) (declare ((simple-array (complex fft-float) (*)) g h)) (assert (and (power2-p (length g)) (power2-p (length h)) (= (length g) (length h)))) (let ((n (length g))) (dft! g) (dft! h) (let ((f (make-array n :element-type '(complex fft-float)))) (dotimes (i n) (setf (aref f i) (* (aref g i) (aref h i)))) (inverse-dft! f)))) (defmacro with-output-buffer (&body body) "Buffers all outputs to *STANDARD-OUTPUT* and flushes them to *STANDARD-OUTPUT* at the end. Note that only BASE-CHAR is allowed." (let ((out (gensym))) `(let ((,out (make-string-output-stream :element-type 'base-char))) (let ((*standard-output* ,out)) ,@body) (write-string (get-output-stream-string ,out))))) (declaim (ftype (function * (values fixnum &optional)) read-fixnum)) (defun read-fixnum (&optional (in *standard-input*)) (declare #.OPT) (macrolet ((%read-byte () `(the (unsigned-byte 8) #+swank (char-code (read-char in nil #\Nul)) #-swank (sb-impl::ansi-stream-read-byte in nil #.(char-code #\Nul) nil)))) (let* ((minus nil) (result (loop (let ((byte (%read-byte))) (cond ((<= 48 byte 57) (return (- byte 48))) ((zerop byte) ; #\Nul ;; (return-from read-fixnum 0) (error "Read EOF or #\Nul.")) ((= byte #.(char-code #\-)) (setf minus t))))))) (declare ((integer 0 #.most-positive-fixnum) result)) (loop (let* ((byte (%read-byte))) (if (<= 48 byte 57) (setq result (+ (- byte 48) (the fixnum (* result 10)))) (return (if minus (- result) result)))))))) (defmacro dbg (&rest forms) #+swank (if (= (length forms) 1) `(format *error-output* "~A => ~A~%" ',(car forms) ,(car forms)) `(format *error-output* "~A => ~A~%" ',forms `(,,@forms))) #-swank (declare (ignore forms))) (defmacro define-int-types (&rest bits) `(progn ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "UINT~A" b)) () '(unsigned-byte ,b))) bits) ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "INT~A" b)) () '(signed-byte ,b))) bits))) (define-int-types 2 4 7 8 15 16 31 32 62 63 64) (defmacro println (obj &optional (stream '*standard-output*)) `(let ((*read-default-float-format* 'double-float)) (prog1 (princ ,obj ,stream) (terpri ,stream)))) (defconstant +mod+ 1000000007) ;; Body (defun main () (declare #.OPT) (let* ((n (read)) (length (sb-int:power-of-two-ceiling (+ n n 1))) (as (make-array length :element-type '(complex double-float) :initial-element #c(0d0 0d0))) (bs (make-array length :element-type '(complex double-float) :initial-element #c(0d0 0d0)))) (declare (uint32 n length)) (loop for i from 1 to n do (setf (aref as i) (coerce (read-fixnum) '(complex double-float)) (aref bs i) (coerce (read-fixnum) '(complex double-float)))) (let ((res (convolute! as bs))) (declare ((simple-array (complex double-float) (*)) res)) (with-output-buffer (loop for i from 1 to (* 2 n) do (println (round (the (double-float -4.6d18 4.6d18) (realpart (aref res i)))))))))) #-swank(main)
Submission Info
Submission Time | |
---|---|
Task | C - 高速フーリエ変換 |
User | sansaqua |
Language | Common Lisp (SBCL 1.1.14) |
Score | 100 |
Code Size | 6129 Byte |
Status | AC |
Exec Time | 482 ms |
Memory | 66016 KB |
Judge Result
Set Name | Sample | All | ||||
---|---|---|---|---|---|---|
Score / Max Score | 0 / 0 | 100 / 100 | ||||
Status |
|
|
Set Name | Test Cases |
---|---|
Sample | 00_sample_01 |
All | 00_sample_01, 01_00_01, 01_01_19, 01_02_31, 01_03_22, 01_04_31, 01_05_40, 01_06_15, 01_07_39, 01_08_28, 01_09_30, 01_10_23, 01_11_33, 01_12_11, 01_13_28, 01_14_41, 01_15_26, 01_16_49, 01_17_34, 01_18_02, 01_19_33, 01_20_29, 02_00_51254, 02_01_82431, 02_02_17056, 02_03_34866, 02_04_6779, 02_05_65534, 02_06_65535, 02_07_65536, 02_08_65537, 02_09_65538, 02_10_100000 |
Case Name | Status | Exec Time | Memory |
---|---|---|---|
00_sample_01 | AC | 251 ms | 29920 KB |
01_00_01 | AC | 88 ms | 16868 KB |
01_01_19 | AC | 87 ms | 16872 KB |
01_02_31 | AC | 88 ms | 16864 KB |
01_03_22 | AC | 88 ms | 16868 KB |
01_04_31 | AC | 90 ms | 16864 KB |
01_05_40 | AC | 87 ms | 16868 KB |
01_06_15 | AC | 87 ms | 16868 KB |
01_07_39 | AC | 88 ms | 16868 KB |
01_08_28 | AC | 88 ms | 16864 KB |
01_09_30 | AC | 88 ms | 16868 KB |
01_10_23 | AC | 88 ms | 16864 KB |
01_11_33 | AC | 89 ms | 16868 KB |
01_12_11 | AC | 88 ms | 16872 KB |
01_13_28 | AC | 88 ms | 16864 KB |
01_14_41 | AC | 88 ms | 16864 KB |
01_15_26 | AC | 87 ms | 16872 KB |
01_16_49 | AC | 87 ms | 16868 KB |
01_17_34 | AC | 87 ms | 16872 KB |
01_18_02 | AC | 88 ms | 16864 KB |
01_19_33 | AC | 88 ms | 16872 KB |
01_20_29 | AC | 87 ms | 16864 KB |
02_00_51254 | AC | 277 ms | 40288 KB |
02_01_82431 | AC | 429 ms | 59360 KB |
02_02_17056 | AC | 158 ms | 27488 KB |
02_03_34866 | AC | 234 ms | 35940 KB |
02_04_6779 | AC | 110 ms | 21092 KB |
02_05_65534 | AC | 318 ms | 48868 KB |
02_06_65535 | AC | 317 ms | 48868 KB |
02_07_65536 | AC | 384 ms | 55012 KB |
02_08_65537 | AC | 383 ms | 55008 KB |
02_09_65538 | AC | 382 ms | 55008 KB |
02_10_100000 | AC | 482 ms | 66016 KB |