diff --git a/.DS_Store b/.DS_Store index 4895092..2d4c5cf 100644 Binary files a/.DS_Store and b/.DS_Store differ diff --git a/.vscode/c_cpp_properties.json b/.vscode/c_cpp_properties.json new file mode 100644 index 0000000..9a0a2f5 --- /dev/null +++ b/.vscode/c_cpp_properties.json @@ -0,0 +1,19 @@ +{ + "configurations": [ + { + "name": "Mac", + "includePath": [ + "${workspaceFolder}/**" + ], + "defines": [], + "macFrameworkPath": [ + "/Library/Developer/CommandLineTools/SDKs/MacOSX.sdk/System/Library/Frameworks" + ], + "compilerPath": "/usr/bin/clang", + "cStandard": "c17", + "cppStandard": "c++17", + "intelliSenseMode": "macos-clang-arm64" + } + ], + "version": 4 +} \ No newline at end of file diff --git a/.vscode/settings.json b/.vscode/settings.json new file mode 100644 index 0000000..70c5658 --- /dev/null +++ b/.vscode/settings.json @@ -0,0 +1,8 @@ +{ + "files.associations": { + "*.sdp": "xml", + "*.json": "jsonc", + "vector": "cpp", + "type_traits": "cpp" + } +} \ No newline at end of file diff --git a/output/convert_image_to_webp.js b/output/convert_image_to_webp.js deleted file mode 100644 index e4f3ad1..0000000 --- a/output/convert_image_to_webp.js +++ /dev/null @@ -1 +0,0 @@ -var Module=typeof Module!="undefined"?Module:{};var moduleOverrides=Object.assign({},Module);var arguments_=[];var thisProgram="./this.program";var quit_=(status,toThrow)=>{throw toThrow};var ENVIRONMENT_IS_WEB=typeof window=="object";var ENVIRONMENT_IS_WORKER=typeof importScripts=="function";var ENVIRONMENT_IS_NODE=typeof process=="object"&&typeof process.versions=="object"&&typeof process.versions.node=="string";var scriptDirectory="";function locateFile(path){if(Module["locateFile"]){return Module["locateFile"](path,scriptDirectory)}return scriptDirectory+path}var read_,readAsync,readBinary;if(ENVIRONMENT_IS_NODE){var fs=require("fs");var nodePath=require("path");if(ENVIRONMENT_IS_WORKER){scriptDirectory=nodePath.dirname(scriptDirectory)+"/"}else{scriptDirectory=__dirname+"/"}read_=(filename,binary)=>{filename=isFileURI(filename)?new URL(filename):nodePath.normalize(filename);return fs.readFileSync(filename,binary?undefined:"utf8")};readBinary=filename=>{var ret=read_(filename,true);if(!ret.buffer){ret=new Uint8Array(ret)}return ret};readAsync=(filename,onload,onerror,binary=true)=>{filename=isFileURI(filename)?new URL(filename):nodePath.normalize(filename);fs.readFile(filename,binary?undefined:"utf8",(err,data)=>{if(err)onerror(err);else onload(binary?data.buffer:data)})};if(!Module["thisProgram"]&&process.argv.length>1){thisProgram=process.argv[1].replace(/\\/g,"/")}arguments_=process.argv.slice(2);if(typeof module!="undefined"){module["exports"]=Module}process.on("uncaughtException",ex=>{if(ex!=="unwind"&&!(ex instanceof ExitStatus)&&!(ex.context instanceof ExitStatus)){throw ex}});quit_=(status,toThrow)=>{process.exitCode=status;throw toThrow}}else if(ENVIRONMENT_IS_WEB||ENVIRONMENT_IS_WORKER){if(ENVIRONMENT_IS_WORKER){scriptDirectory=self.location.href}else if(typeof document!="undefined"&&document.currentScript){scriptDirectory=document.currentScript.src}if(scriptDirectory.startsWith("blob:")){scriptDirectory=""}else{scriptDirectory=scriptDirectory.substr(0,scriptDirectory.replace(/[?#].*/,"").lastIndexOf("/")+1)}{read_=url=>{var xhr=new XMLHttpRequest;xhr.open("GET",url,false);xhr.send(null);return xhr.responseText};if(ENVIRONMENT_IS_WORKER){readBinary=url=>{var xhr=new XMLHttpRequest;xhr.open("GET",url,false);xhr.responseType="arraybuffer";xhr.send(null);return new Uint8Array(xhr.response)}}readAsync=(url,onload,onerror)=>{var xhr=new XMLHttpRequest;xhr.open("GET",url,true);xhr.responseType="arraybuffer";xhr.onload=()=>{if(xhr.status==200||xhr.status==0&&xhr.response){onload(xhr.response);return}onerror()};xhr.onerror=onerror;xhr.send(null)}}}else{}var out=Module["print"]||console.log.bind(console);var err=Module["printErr"]||console.error.bind(console);Object.assign(Module,moduleOverrides);moduleOverrides=null;if(Module["arguments"])arguments_=Module["arguments"];if(Module["thisProgram"])thisProgram=Module["thisProgram"];if(Module["quit"])quit_=Module["quit"];var wasmBinary;if(Module["wasmBinary"])wasmBinary=Module["wasmBinary"];var wasmMemory;var ABORT=false;var EXITSTATUS;var HEAP8,HEAPU8,HEAP16,HEAPU16,HEAP32,HEAPU32,HEAPF32,HEAPF64;function updateMemoryViews(){var b=wasmMemory.buffer;Module["HEAP8"]=HEAP8=new Int8Array(b);Module["HEAP16"]=HEAP16=new Int16Array(b);Module["HEAPU8"]=HEAPU8=new Uint8Array(b);Module["HEAPU16"]=HEAPU16=new Uint16Array(b);Module["HEAP32"]=HEAP32=new Int32Array(b);Module["HEAPU32"]=HEAPU32=new Uint32Array(b);Module["HEAPF32"]=HEAPF32=new Float32Array(b);Module["HEAPF64"]=HEAPF64=new Float64Array(b)}var __ATPRERUN__=[];var __ATINIT__=[];var __ATPOSTRUN__=[];var runtimeInitialized=false;function preRun(){if(Module["preRun"]){if(typeof Module["preRun"]=="function")Module["preRun"]=[Module["preRun"]];while(Module["preRun"].length){addOnPreRun(Module["preRun"].shift())}}callRuntimeCallbacks(__ATPRERUN__)}function initRuntime(){runtimeInitialized=true;callRuntimeCallbacks(__ATINIT__)}function postRun(){if(Module["postRun"]){if(typeof Module["postRun"]=="function")Module["postRun"]=[Module["postRun"]];while(Module["postRun"].length){addOnPostRun(Module["postRun"].shift())}}callRuntimeCallbacks(__ATPOSTRUN__)}function addOnPreRun(cb){__ATPRERUN__.unshift(cb)}function addOnInit(cb){__ATINIT__.unshift(cb)}function addOnPostRun(cb){__ATPOSTRUN__.unshift(cb)}var runDependencies=0;var runDependencyWatcher=null;var dependenciesFulfilled=null;function addRunDependency(id){runDependencies++;Module["monitorRunDependencies"]?.(runDependencies)}function removeRunDependency(id){runDependencies--;Module["monitorRunDependencies"]?.(runDependencies);if(runDependencies==0){if(runDependencyWatcher!==null){clearInterval(runDependencyWatcher);runDependencyWatcher=null}if(dependenciesFulfilled){var callback=dependenciesFulfilled;dependenciesFulfilled=null;callback()}}}function abort(what){Module["onAbort"]?.(what);what="Aborted("+what+")";err(what);ABORT=true;EXITSTATUS=1;what+=". Build with -sASSERTIONS for more info.";var e=new WebAssembly.RuntimeError(what);throw e}var dataURIPrefix="data:application/octet-stream;base64,";var isDataURI=filename=>filename.startsWith(dataURIPrefix);var isFileURI=filename=>filename.startsWith("file://");var wasmBinaryFile;wasmBinaryFile="convert_image_to_webp.wasm";if(!isDataURI(wasmBinaryFile)){wasmBinaryFile=locateFile(wasmBinaryFile)}function getBinarySync(file){if(file==wasmBinaryFile&&wasmBinary){return new Uint8Array(wasmBinary)}if(readBinary){return readBinary(file)}throw"both async and sync fetching of the wasm failed"}function getBinaryPromise(binaryFile){if(!wasmBinary&&(ENVIRONMENT_IS_WEB||ENVIRONMENT_IS_WORKER)){if(typeof fetch=="function"&&!isFileURI(binaryFile)){return fetch(binaryFile,{credentials:"same-origin"}).then(response=>{if(!response["ok"]){throw`failed to load wasm binary file at '${binaryFile}'`}return response["arrayBuffer"]()}).catch(()=>getBinarySync(binaryFile))}else if(readAsync){return new Promise((resolve,reject)=>{readAsync(binaryFile,response=>resolve(new Uint8Array(response)),reject)})}}return Promise.resolve().then(()=>getBinarySync(binaryFile))}function instantiateArrayBuffer(binaryFile,imports,receiver){return getBinaryPromise(binaryFile).then(binary=>WebAssembly.instantiate(binary,imports)).then(receiver,reason=>{err(`failed to asynchronously prepare wasm: ${reason}`);abort(reason)})}function instantiateAsync(binary,binaryFile,imports,callback){if(!binary&&typeof WebAssembly.instantiateStreaming=="function"&&!isDataURI(binaryFile)&&!isFileURI(binaryFile)&&!ENVIRONMENT_IS_NODE&&typeof fetch=="function"){return fetch(binaryFile,{credentials:"same-origin"}).then(response=>{var result=WebAssembly.instantiateStreaming(response,imports);return result.then(callback,function(reason){err(`wasm streaming compile failed: ${reason}`);err("falling back to ArrayBuffer instantiation");return instantiateArrayBuffer(binaryFile,imports,callback)})})}return instantiateArrayBuffer(binaryFile,imports,callback)}function createWasm(){var info={"env":wasmImports,"wasi_snapshot_preview1":wasmImports};function receiveInstance(instance,module){wasmExports=instance.exports;wasmMemory=wasmExports["memory"];updateMemoryViews();addOnInit(wasmExports["__wasm_call_ctors"]);removeRunDependency("wasm-instantiate");return wasmExports}addRunDependency("wasm-instantiate");function receiveInstantiationResult(result){receiveInstance(result["instance"])}if(Module["instantiateWasm"]){try{return Module["instantiateWasm"](info,receiveInstance)}catch(e){err(`Module.instantiateWasm callback failed with error: ${e}`);return false}}instantiateAsync(wasmBinary,wasmBinaryFile,info,receiveInstantiationResult);return{}}function ExitStatus(status){this.name="ExitStatus";this.message=`Program terminated with exit(${status})`;this.status=status}var callRuntimeCallbacks=callbacks=>{while(callbacks.length>0){callbacks.shift()(Module)}};function getValue(ptr,type="i8"){if(type.endsWith("*"))type="*";switch(type){case"i1":return HEAP8[ptr];case"i8":return HEAP8[ptr];case"i16":return HEAP16[ptr>>1];case"i32":return HEAP32[ptr>>2];case"i64":abort("to do getValue(i64) use WASM_BIGINT");case"float":return HEAPF32[ptr>>2];case"double":return HEAPF64[ptr>>3];case"*":return HEAPU32[ptr>>2];default:abort(`invalid type for getValue: ${type}`)}}var noExitRuntime=Module["noExitRuntime"]||true;var UTF8Decoder=typeof TextDecoder!="undefined"?new TextDecoder("utf8"):undefined;var UTF8ArrayToString=(heapOrArray,idx,maxBytesToRead)=>{var endIdx=idx+maxBytesToRead;var endPtr=idx;while(heapOrArray[endPtr]&&!(endPtr>=endIdx))++endPtr;if(endPtr-idx>16&&heapOrArray.buffer&&UTF8Decoder){return UTF8Decoder.decode(heapOrArray.subarray(idx,endPtr))}var str="";while(idx>10,56320|ch&1023)}}return str};var UTF8ToString=(ptr,maxBytesToRead)=>ptr?UTF8ArrayToString(HEAPU8,ptr,maxBytesToRead):"";var ___assert_fail=(condition,filename,line,func)=>{abort(`Assertion failed: ${UTF8ToString(condition)}, at: `+[filename?UTF8ToString(filename):"unknown filename",line,func?UTF8ToString(func):"unknown function"])};var _emscripten_memcpy_js=(dest,src,num)=>HEAPU8.copyWithin(dest,src,src+num);var getHeapMax=()=>268435456;var growMemory=size=>{var b=wasmMemory.buffer;var pages=(size-b.byteLength+65535)/65536;try{wasmMemory.grow(pages);updateMemoryViews();return 1}catch(e){}};var _emscripten_resize_heap=requestedSize=>{var oldSize=HEAPU8.length;requestedSize>>>=0;var maxHeapSize=getHeapMax();if(requestedSize>maxHeapSize){return false}var alignUp=(x,multiple)=>x+(multiple-x%multiple)%multiple;for(var cutDown=1;cutDown<=4;cutDown*=2){var overGrownHeapSize=oldSize*(1+.2/cutDown);overGrownHeapSize=Math.min(overGrownHeapSize,requestedSize+100663296);var newSize=Math.min(maxHeapSize,alignUp(Math.max(requestedSize,overGrownHeapSize),65536));var replacement=growMemory(newSize);if(replacement){return true}}return false};var _fd_close=fd=>52;var convertI32PairToI53Checked=(lo,hi)=>hi+2097152>>>0<4194305-!!lo?(lo>>>0)+hi*4294967296:NaN;function _fd_seek(fd,offset_low,offset_high,whence,newOffset){var offset=convertI32PairToI53Checked(offset_low,offset_high);return 70}var printCharBuffers=[null,[],[]];var printChar=(stream,curr)=>{var buffer=printCharBuffers[stream];if(curr===0||curr===10){(stream===1?out:err)(UTF8ArrayToString(buffer,0));buffer.length=0}else{buffer.push(curr)}};var SYSCALLS={varargs:undefined,get(){var ret=HEAP32[+SYSCALLS.varargs>>2];SYSCALLS.varargs+=4;return ret},getp(){return SYSCALLS.get()},getStr(ptr){var ret=UTF8ToString(ptr);return ret}};var _fd_write=(fd,iov,iovcnt,pnum)=>{var num=0;for(var i=0;i>2];var len=HEAPU32[iov+4>>2];iov+=8;for(var j=0;j>2]=num;return 0};var getCFunc=ident=>{var func=Module["_"+ident];return func};var writeArrayToMemory=(array,buffer)=>{HEAP8.set(array,buffer)};var lengthBytesUTF8=str=>{var len=0;for(var i=0;i=55296&&c<=57343){len+=4;++i}else{len+=3}}return len};var stringToUTF8Array=(str,heap,outIdx,maxBytesToWrite)=>{if(!(maxBytesToWrite>0))return 0;var startIdx=outIdx;var endIdx=outIdx+maxBytesToWrite-1;for(var i=0;i=55296&&u<=57343){var u1=str.charCodeAt(++i);u=65536+((u&1023)<<10)|u1&1023}if(u<=127){if(outIdx>=endIdx)break;heap[outIdx++]=u}else if(u<=2047){if(outIdx+1>=endIdx)break;heap[outIdx++]=192|u>>6;heap[outIdx++]=128|u&63}else if(u<=65535){if(outIdx+2>=endIdx)break;heap[outIdx++]=224|u>>12;heap[outIdx++]=128|u>>6&63;heap[outIdx++]=128|u&63}else{if(outIdx+3>=endIdx)break;heap[outIdx++]=240|u>>18;heap[outIdx++]=128|u>>12&63;heap[outIdx++]=128|u>>6&63;heap[outIdx++]=128|u&63}}heap[outIdx]=0;return outIdx-startIdx};var stringToUTF8=(str,outPtr,maxBytesToWrite)=>stringToUTF8Array(str,HEAPU8,outPtr,maxBytesToWrite);var stringToUTF8OnStack=str=>{var size=lengthBytesUTF8(str)+1;var ret=stackAlloc(size);stringToUTF8(str,ret,size);return ret};var ccall=(ident,returnType,argTypes,args,opts)=>{var toC={"string":str=>{var ret=0;if(str!==null&&str!==undefined&&str!==0){ret=stringToUTF8OnStack(str)}return ret},"array":arr=>{var ret=stackAlloc(arr.length);writeArrayToMemory(arr,ret);return ret}};function convertReturnValue(ret){if(returnType==="string"){return UTF8ToString(ret)}if(returnType==="boolean")return Boolean(ret);return ret}var func=getCFunc(ident);var cArgs=[];var stack=0;if(args){for(var i=0;i{var numericArgs=!argTypes||argTypes.every(type=>type==="number"||type==="boolean");var numericRet=returnType!=="string";if(numericRet&&numericArgs&&!opts){return getCFunc(ident)}return(...args)=>ccall(ident,returnType,argTypes,args,opts)};var wasmImports={__assert_fail:___assert_fail,emscripten_memcpy_js:_emscripten_memcpy_js,emscripten_resize_heap:_emscripten_resize_heap,fd_close:_fd_close,fd_seek:_fd_seek,fd_write:_fd_write};var wasmExports=createWasm();var ___wasm_call_ctors=()=>(___wasm_call_ctors=wasmExports["__wasm_call_ctors"])();var _malloc=Module["_malloc"]=a0=>(_malloc=Module["_malloc"]=wasmExports["malloc"])(a0);var _free=Module["_free"]=a0=>(_free=Module["_free"]=wasmExports["free"])(a0);var _convert_image_to_webp=Module["_convert_image_to_webp"]=(a0,a1,a2,a3,a4,a5,a6,a7,a8,a9)=>(_convert_image_to_webp=Module["_convert_image_to_webp"]=wasmExports["convert_image_to_webp"])(a0,a1,a2,a3,a4,a5,a6,a7,a8,a9);var stackSave=()=>(stackSave=wasmExports["stackSave"])();var stackRestore=a0=>(stackRestore=wasmExports["stackRestore"])(a0);var stackAlloc=a0=>(stackAlloc=wasmExports["stackAlloc"])(a0);var dynCall_jiiiii=Module["dynCall_jiiiii"]=(a0,a1,a2,a3,a4,a5)=>(dynCall_jiiiii=Module["dynCall_jiiiii"]=wasmExports["dynCall_jiiiii"])(a0,a1,a2,a3,a4,a5);var dynCall_jiji=Module["dynCall_jiji"]=(a0,a1,a2,a3,a4)=>(dynCall_jiji=Module["dynCall_jiji"]=wasmExports["dynCall_jiji"])(a0,a1,a2,a3,a4);Module["cwrap"]=cwrap;Module["getValue"]=getValue;var calledRun;dependenciesFulfilled=function runCaller(){if(!calledRun)run();if(!calledRun)dependenciesFulfilled=runCaller};function run(){if(runDependencies>0){return}preRun();if(runDependencies>0){return}function doRun(){if(calledRun)return;calledRun=true;Module["calledRun"]=true;if(ABORT)return;initRuntime();if(Module["onRuntimeInitialized"])Module["onRuntimeInitialized"]();postRun()}if(Module["setStatus"]){Module["setStatus"]("Running...");setTimeout(function(){setTimeout(function(){Module["setStatus"]("")},1);doRun()},1)}else{doRun()}}if(Module["preInit"]){if(typeof Module["preInit"]=="function")Module["preInit"]=[Module["preInit"]];while(Module["preInit"].length>0){Module["preInit"].pop()()}}run(); diff --git a/output/convert_image_to_webp.wasm b/output/convert_image_to_webp.wasm deleted file mode 100755 index f117386..0000000 Binary files a/output/convert_image_to_webp.wasm and /dev/null differ diff --git a/test/convert_image_to_webp.js b/test/convert_image_to_webp.js index 826656c..7ad0591 100644 --- a/test/convert_image_to_webp.js +++ b/test/convert_image_to_webp.js @@ -1111,16 +1111,79 @@ function dbg(...args) { var _emscripten_memcpy_js = (dest, src, num) => HEAPU8.copyWithin(dest, src, src + num); var getHeapMax = () => - HEAPU8.length; + // Stay one Wasm page short of 4GB: while e.g. Chrome is able to allocate + // full 4GB Wasm memories, the size will wrap back to 0 bytes in Wasm side + // for any code that deals with heap sizes, which would require special + // casing all heap size related code to treat 0 specially. + 2147483648; - var abortOnCannotGrowMemory = (requestedSize) => { - abort(`Cannot enlarge memory arrays to size ${requestedSize} bytes (OOM). Either (1) compile with -sINITIAL_MEMORY=X with X higher than the current value ${HEAP8.length}, (2) compile with -sALLOW_MEMORY_GROWTH which allows increasing the size at runtime, or (3) if you want malloc to return NULL (0) instead of this abort, compile with -sABORTING_MALLOC=0`); + var growMemory = (size) => { + var b = wasmMemory.buffer; + var pages = (size - b.byteLength + 65535) / 65536; + try { + // round size grow request up to wasm page size (fixed 64KB per spec) + wasmMemory.grow(pages); // .grow() takes a delta compared to the previous size + updateMemoryViews(); + return 1 /*success*/; + } catch(e) { + err(`growMemory: Attempted to grow heap from ${b.byteLength} bytes to ${size} bytes, but got error: ${e}`); + } + // implicit 0 return to save code size (caller will cast "undefined" into 0 + // anyhow) }; var _emscripten_resize_heap = (requestedSize) => { var oldSize = HEAPU8.length; // With CAN_ADDRESS_2GB or MEMORY64, pointers are already unsigned. requestedSize >>>= 0; - abortOnCannotGrowMemory(requestedSize); + // With multithreaded builds, races can happen (another thread might increase the size + // in between), so return a failure, and let the caller retry. + assert(requestedSize > oldSize); + + // Memory resize rules: + // 1. Always increase heap size to at least the requested size, rounded up + // to next page multiple. + // 2a. If MEMORY_GROWTH_LINEAR_STEP == -1, excessively resize the heap + // geometrically: increase the heap size according to + // MEMORY_GROWTH_GEOMETRIC_STEP factor (default +20%), At most + // overreserve by MEMORY_GROWTH_GEOMETRIC_CAP bytes (default 96MB). + // 2b. If MEMORY_GROWTH_LINEAR_STEP != -1, excessively resize the heap + // linearly: increase the heap size by at least + // MEMORY_GROWTH_LINEAR_STEP bytes. + // 3. Max size for the heap is capped at 2048MB-WASM_PAGE_SIZE, or by + // MAXIMUM_MEMORY, or by ASAN limit, depending on which is smallest + // 4. If we were unable to allocate as much memory, it may be due to + // over-eager decision to excessively reserve due to (3) above. + // Hence if an allocation fails, cut down on the amount of excess + // growth, in an attempt to succeed to perform a smaller allocation. + + // A limit is set for how much we can grow. We should not exceed that + // (the wasm binary specifies it, so if we tried, we'd fail anyhow). + var maxHeapSize = getHeapMax(); + if (requestedSize > maxHeapSize) { + err(`Cannot enlarge memory, requested ${requestedSize} bytes, but the limit is ${maxHeapSize} bytes!`); + return false; + } + + var alignUp = (x, multiple) => x + (multiple - x % multiple) % multiple; + + // Loop through potential heap size increases. If we attempt a too eager + // reservation that fails, cut down on the attempted size and reserve a + // smaller bump instead. (max 3 times, chosen somewhat arbitrarily) + for (var cutDown = 1; cutDown <= 4; cutDown *= 2) { + var overGrownHeapSize = oldSize * (1 + 0.2 / cutDown); // ensure geometric growth + // but limit overreserving (default to capping at +96MB overgrowth at most) + overGrownHeapSize = Math.min(overGrownHeapSize, requestedSize + 100663296 ); + + var newSize = Math.min(maxHeapSize, alignUp(Math.max(requestedSize, overGrownHeapSize), 65536)); + + var replacement = growMemory(newSize); + if (replacement) { + + return true; + } + } + err(`Failed to grow the heap from ${oldSize} bytes to ${newSize} bytes, not enough memory!`); + return false; }; var SYSCALLS = { @@ -1406,7 +1469,6 @@ var missingLibrarySymbols = [ 'convertU32PairToI53', 'zeroMemory', 'exitJS', - 'growMemory', 'isLeapYear', 'ydayFromDate', 'arraySum', @@ -1601,7 +1663,7 @@ var unexportedSymbols = [ 'convertI32PairToI53Checked', 'ptrToString', 'getHeapMax', - 'abortOnCannotGrowMemory', + 'growMemory', 'ENV', 'MONTH_DAYS_REGULAR', 'MONTH_DAYS_LEAP', diff --git a/test/convert_image_to_webp.wasm b/test/convert_image_to_webp.wasm index 84a6676..8e56930 100755 Binary files a/test/convert_image_to_webp.wasm and b/test/convert_image_to_webp.wasm differ diff --git a/test/convert_image_to_webp.wasm.map b/test/convert_image_to_webp.wasm.map index 65f0829..c1059ed 100644 --- a/test/convert_image_to_webp.wasm.map +++ b/test/convert_image_to_webp.wasm.map @@ -1 +1 @@ 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\ No newline at end of file diff --git a/test/image.bin b/test/image.bin new file mode 100644 index 0000000..bf0e1a3 Binary files /dev/null and b/test/image.bin differ diff --git a/test/image.bmp b/test/image.bmp new file mode 100644 index 0000000..527f019 Binary files /dev/null and b/test/image.bmp differ diff --git a/test/image.jpg b/test/image.jpg new file mode 100644 index 0000000..d5fd3f3 Binary files /dev/null and b/test/image.jpg differ diff --git a/test/index.html b/test/index.html index acd1d35..a0bdfa4 100644 --- a/test/index.html +++ b/test/index.html @@ -45,7 +45,7 @@ return btoa(binary); // 使用 JavaScript 的 btoa() 函数 } - var fileurl = './image.png' + var fileurl = './image.bin' // 初始化 WebAssembly 模块 var Module = { onRuntimeInitialized: function () { diff --git a/testCOut/a.out.js b/testCOut/a.out.js new file mode 100644 index 0000000..aa63089 --- /dev/null +++ b/testCOut/a.out.js @@ -0,0 +1,18 @@ + +var testWasm = (() => { + var _scriptDir = typeof document !== 'undefined' && document.currentScript ? document.currentScript.src : undefined; + + return ( +function(moduleArg = {}) { + +var Module=moduleArg;var readyPromiseResolve,readyPromiseReject;Module["ready"]=new Promise((resolve,reject)=>{readyPromiseResolve=resolve;readyPromiseReject=reject});var crypto=globalThis?.crypto||{getRandomValues:array=>{for(var i=0;iDate.now()};var moduleOverrides=Object.assign({},Module);var arguments_=[];var quit_=(status,toThrow)=>{throw toThrow};var ENVIRONMENT_IS_WEB=typeof window=="object";var ENVIRONMENT_IS_WORKER=typeof importScripts=="function";var ENVIRONMENT_IS_NODE=typeof process=="object"&&typeof process.versions=="object"&&typeof process.versions.node=="string";var ENVIRONMENT_IS_SHELL=!ENVIRONMENT_IS_WEB&&!ENVIRONMENT_IS_NODE&&!ENVIRONMENT_IS_WORKER;var scriptDirectory="";function locateFile(path){return scriptDirectory+path}var read_,readAsync,readBinary;if(ENVIRONMENT_IS_SHELL){if(typeof read!="undefined"){read_=read}readBinary=f=>{if(typeof readbuffer=="function"){return new Uint8Array(readbuffer(f))}let data=read(f,"binary");assert(typeof data=="object");return data};readAsync=(f,onload,onerror)=>{setTimeout(()=>onload(readBinary(f)))};if(typeof clearTimeout=="undefined"){globalThis.clearTimeout=id=>{}}if(typeof setTimeout=="undefined"){globalThis.setTimeout=f=>typeof f=="function"?f():abort()}if(typeof scriptArgs!="undefined"){arguments_=scriptArgs}else if(typeof arguments!="undefined"){arguments_=arguments}if(typeof quit=="function"){quit_=(status,toThrow)=>{setTimeout(()=>{if(!(toThrow instanceof ExitStatus)){let toLog=toThrow;if(toThrow&&typeof toThrow=="object"&&toThrow.stack){toLog=[toThrow,toThrow.stack]}err(`exiting due to exception: ${toLog}`)}quit(status)});throw toThrow}}if(typeof print!="undefined"){if(typeof console=="undefined")console={};console.log=print;console.warn=console.error=typeof printErr!="undefined"?printErr:print}}else 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getBinarySync(file){if(file==wasmBinaryFile&&wasmBinary){return new Uint8Array(wasmBinary)}var binary=tryParseAsDataURI(file);if(binary){return binary}if(readBinary){return readBinary(file)}throw"both async and sync fetching of the wasm failed"}function getBinaryPromise(binaryFile){return Promise.resolve().then(()=>getBinarySync(binaryFile))}function instantiateArrayBuffer(binaryFile,imports,receiver){return getBinaryPromise(binaryFile).then(binary=>WebAssembly.instantiate(binary,imports)).then(receiver,reason=>{err(`failed to asynchronously prepare wasm: ${reason}`);abort(reason)})}function instantiateAsync(binary,binaryFile,imports,callback){return instantiateArrayBuffer(binaryFile,imports,callback)}function createWasm(){var info={"a":wasmImports};function receiveInstance(instance,module){wasmExports=instance.exports;wasmMemory=wasmExports["e"];updateMemoryViews();addOnInit(wasmExports["f"]);removeRunDependency("wasm-instantiate");return 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_main=Module["_main"]=(a0,a1)=>(_main=Module["_main"]=wasmExports["x"])(a0,a1);Module["UTF8ToString"]=UTF8ToString;var calledRun;dependenciesFulfilled=function runCaller(){if(!calledRun)run();if(!calledRun)dependenciesFulfilled=runCaller};function callMain(){var entryFunction=_main;var argc=0;var argv=0;try{var ret=entryFunction(argc,argv);exitJS(ret,true);return ret}catch(e){return handleException(e)}}function run(){if(runDependencies>0){return}preRun();if(runDependencies>0){return}function doRun(){if(calledRun)return;calledRun=true;Module["calledRun"]=true;if(ABORT)return;initRuntime();preMain();readyPromiseResolve(Module);if(shouldRunNow)callMain();postRun()}{doRun()}}var shouldRunNow=true;run(); + + + return moduleArg.ready +} +); +})(); +if (typeof exports === 'object' && typeof module === 'object') + module.exports = testWasm; +else if (typeof define === 'function' && define['amd']) + define([], () => testWasm); diff --git a/testCOut/main.cpp b/testCOut/main.cpp new file mode 100644 index 0000000..adba493 --- /dev/null +++ b/testCOut/main.cpp @@ -0,0 +1,79 @@ + + +#include "./signalsmith-stretch.h" +#include + +#include +int main() {} + +using Sample = float; +using Stretch = signalsmith::stretch::SignalsmithStretch; +Stretch stretch; + +// Allocates memory for buffers, and returns it +std::vector buffers; +std::vector buffersIn, buffersOut; + +extern "C" { + Sample * EMSCRIPTEN_KEEPALIVE setBuffers(int channels, int length) { + buffers.resize(length*channels*2); + Sample *data = buffers.data(); + buffersIn.resize(0); + buffersOut.resize(0); + for (int c = 0; c < channels; ++c) { + buffersIn.push_back(data + length*c); + buffersOut.push_back(data + length*(c + channels)); + } + return data; + } + + int EMSCRIPTEN_KEEPALIVE blockSamples() { + return stretch.blockSamples(); + } + int EMSCRIPTEN_KEEPALIVE intervalSamples() { + return stretch.intervalSamples(); + } + int EMSCRIPTEN_KEEPALIVE inputLatency() { + return stretch.inputLatency(); + } + int EMSCRIPTEN_KEEPALIVE outputLatency() { + return stretch.outputLatency(); + } + void EMSCRIPTEN_KEEPALIVE reset() { + stretch.reset(); + } + void EMSCRIPTEN_KEEPALIVE presetDefault(int nChannels, Sample sampleRate) { + stretch.presetDefault(nChannels, sampleRate); + } + void EMSCRIPTEN_KEEPALIVE presetCheaper(int nChannels, Sample sampleRate) { + stretch.presetCheaper(nChannels, sampleRate); + } + void EMSCRIPTEN_KEEPALIVE configure(int nChannels, int blockSamples, int intervalSamples, bool splitComputation) { + stretch.configure(nChannels, blockSamples, intervalSamples, splitComputation); + } + void EMSCRIPTEN_KEEPALIVE setTransposeFactor(Sample multiplier, Sample tonalityLimit) { + stretch.setTransposeFactor(multiplier, tonalityLimit); + } + void EMSCRIPTEN_KEEPALIVE setTransposeSemitones(Sample semitones, Sample tonalityLimit) { + stretch.setTransposeSemitones(semitones, tonalityLimit); + } + void EMSCRIPTEN_KEEPALIVE setFormantFactor(Sample multiplier, bool compensate) { + stretch.setFormantFactor(multiplier, compensate); + } + void EMSCRIPTEN_KEEPALIVE setFormantSemitones(Sample semitones, bool compensate) { + stretch.setFormantSemitones(semitones, compensate); + } + void EMSCRIPTEN_KEEPALIVE setFormantBase(Sample freq) { + stretch.setFormantBase(freq); + } + // We can't do setFreqMap() + void EMSCRIPTEN_KEEPALIVE seek(int inputSamples, double playbackRate) { + stretch.seek(buffersIn, inputSamples, playbackRate); + } + void EMSCRIPTEN_KEEPALIVE process(int inputSamples, int outputSamples) { + stretch.process(buffersIn, inputSamples, buffersOut, outputSamples); + } + void EMSCRIPTEN_KEEPALIVE flush(int outputSamples) { + stretch.flush(buffersOut, outputSamples); + } +} diff --git a/testCOut/pre.js b/testCOut/pre.js new file mode 100644 index 0000000..4010891 --- /dev/null +++ b/testCOut/pre.js @@ -0,0 +1,10 @@ +// Adapted from the Emscripten error message when initialising std::random_device +var crypto = globalThis?.crypto || { + getRandomValues: array => { + // Cryptographically insecure, but fine for audio + for (var i = 0; i < array.length; i++) array[i] = (Math.random()*256)|0; + } +}; +var performance = globalThis?.performance || { + now: _ => Date.now() +}; diff --git a/testCOut/signalsmith-linear/fft.h b/testCOut/signalsmith-linear/fft.h new file mode 100644 index 0000000..80b559b --- /dev/null +++ b/testCOut/signalsmith-linear/fft.h @@ -0,0 +1,1380 @@ +#ifndef SIGNALSMITH_AUDIO_LINEAR_FFT_H +#define SIGNALSMITH_AUDIO_LINEAR_FFT_H + +#include +#include +#include + +#if defined(__FAST_MATH__) && (__apple_build_version__ >= 16000000) && (__apple_build_version__ <= 16000099) && !defined(SIGNALSMITH_IGNORE_BROKEN_APPLECLANG) +# error Apple Clang 16.0.0 generates incorrect SIMD for ARM. If you HAVE to use this version of Clang, turn off -ffast-math. +#endif + +#ifndef M_PI +# define M_PI 3.14159265358979323846 +#endif + +namespace signalsmith { namespace linear { + +namespace _impl { + // Helpers for complex arithmetic, ignoring the NaN/Inf edge-cases you get without `-ffast-math` + template + void complexMul(std::complex *a, const std::complex *b, const std::complex *c, size_t size) { + for (size_t i = 0; i < size; ++i) { + auto bi = b[i], ci = c[i]; + a[i] = {bi.real()*ci.real() - bi.imag()*ci.imag(), bi.imag()*ci.real() + bi.real()*ci.imag()}; + } + } + template + void complexMulConj(std::complex *a, const std::complex *b, const std::complex *c, size_t size) { + for (size_t i = 0; i < size; ++i) { + auto bi = b[i], ci = c[i]; + a[i] = {bi.real()*ci.real() + bi.imag()*ci.imag(), bi.imag()*ci.real() - bi.real()*ci.imag()}; + } + } + template + void complexMul(V *ar, V *ai, const V *br, const V *bi, const V *cr, const V *ci, size_t size) { + for (size_t i = 0; i < size; ++i) { + V rr = br[i]*cr[i] - bi[i]*ci[i]; + V ri = br[i]*ci[i] + bi[i]*cr[i]; + ar[i] = rr; + ai[i] = ri; + } + } + template + void complexMulConj(V *ar, V *ai, const V *br, const V *bi, const V *cr, const V *ci, size_t size) { + for (size_t i = 0; i < size; ++i) { + V rr = cr[i]*br[i] + ci[i]*bi[i]; + V ri = cr[i]*bi[i] - ci[i]*br[i]; + ar[i] = rr; + ai[i] = ri; + } + } + + // Input: aStride elements next to each other -> output with bStride + template + void interleaveCopy(const V *a, V *b, size_t bStride) { + for (size_t bi = 0; bi < bStride; ++bi) { + const V *offsetA = a + bi*aStride; + V *offsetB = b + bi; + for (size_t ai = 0; ai < aStride; ++ai) { + offsetB[ai*bStride] = offsetA[ai]; + } + } + } + template + void interleaveCopy(const V *a, V *b, size_t aStride, size_t bStride) { + for (size_t bi = 0; bi < bStride; ++bi) { + const V *offsetA = a + bi*aStride; + V *offsetB = b + bi; + for (size_t ai = 0; ai < aStride; ++ai) { + offsetB[ai*bStride] = offsetA[ai]; + } + } + } + template + void interleaveCopy(const V *aReal, const V *aImag, V *bReal, V *bImag, size_t bStride) { + for (size_t bi = 0; bi < bStride; ++bi) { + const V *offsetAr = aReal + bi*aStride; + const V *offsetAi = aImag + bi*aStride; + V *offsetBr = bReal + bi; + V *offsetBi = bImag + bi; + for (size_t ai = 0; ai < aStride; ++ai) { + offsetBr[ai*bStride] = offsetAr[ai]; + offsetBi[ai*bStride] = offsetAi[ai]; + } + } + } + template + void interleaveCopy(const V *aReal, const V *aImag, V *bReal, V *bImag, size_t aStride, size_t bStride) { + for (size_t bi = 0; bi < bStride; ++bi) { + const V *offsetAr = aReal + bi*aStride; + const V *offsetAi = aImag + bi*aStride; + V *offsetBr = bReal + bi; + V *offsetBi = bImag + bi; + for (size_t ai = 0; ai < aStride; ++ai) { + offsetBr[ai*bStride] = offsetAr[ai]; + offsetBi[ai*bStride] = offsetAi[ai]; + } + } + } +} + +/// Fairly simple and very portable power-of-2 FFT +template +struct SimpleFFT { + using Complex = std::complex; + + SimpleFFT(size_t size=0) { + resize(size); + } + + void resize(size_t size) { + twiddles.resize(size*3/4); + for (size_t i = 0; i < size*3/4; ++i) { + Sample twiddlePhase = -2*M_PI*i/size; + twiddles[i] = std::polar(Sample(1), twiddlePhase); + } + working.resize(size); + } + + void fft(const Complex *time, Complex *freq) { + size_t size = working.size(); + if (size <= 1) { + *freq = *time; + return; + } + fftPass(size, 1, time, freq, working.data()); + } + + void ifft(const Complex *freq, Complex *time) { + size_t size = working.size(); + if (size <= 1) { + *time = *freq; + return; + } + fftPass(size, 1, freq, time, working.data()); + } + + void fft(const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + size_t size = working.size(); + if (size <= 1) { + *outR = *inR; + *outI = *inI; + return; + } + Sample *workingR = (Sample *)working.data(), *workingI = workingR + size; + fftPass(size, 1, inR, inI, outR, outI, workingR, workingI); + } + void ifft(const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + size_t size = working.size(); + if (size <= 1) { + *outR = *inR; + *outI = *inI; + return; + } + Sample *workingR = (Sample *)working.data(), *workingI = workingR + size; + fftPass(size, 1, inR, inI, outR, outI, workingR, workingI); + } +private: + std::vector twiddles; + std::vector working; + + template + static Complex mul(const Complex &a, const Complex &b) { + return conjB ? Complex{ + a.real()*b.real() + a.imag()*b.imag(), + a.imag()*b.real() - a.real()*b.imag() + } : Complex{ + a.real()*b.real() - a.imag()*b.imag(), + a.imag()*b.real() + a.real()*b.imag() + }; + } + + // Calculate a [size]-point FFT, where each element is a block of [stride] values + template + void fftPass(size_t size, size_t stride, const Complex *input, Complex *output, Complex *working) { + if (size/4 > 1) { + // Calculate four quarter-size FFTs + fftPass(size/4, stride*4, input, working, output); + combine4(size, stride, working, output); + } else if (size == 4) { + combine4(4, stride, input, output); + } else { + // 2-point FFT + for (size_t s = 0; s < stride; ++s) { + Complex a = input[s]; + Complex b = input[s + stride]; + output[s] = a + b; + output[s + stride] = a - b; + } + } + } + + // Combine interleaved results into a single spectrum + template + void combine4(size_t size, size_t stride, const Complex *input, Complex *output) const { + auto twiddleStep = working.size()/size; + for (size_t i = 0; i < size/4; ++i) { + Complex twiddleB = twiddles[i*twiddleStep]; + Complex twiddleC = twiddles[i*2*twiddleStep]; + Complex twiddleD = twiddles[i*3*twiddleStep]; + + const Complex *inputA = input + 4*i*stride; + const Complex *inputB = input + (4*i + 1)*stride; + const Complex *inputC = input + (4*i + 2)*stride; + const Complex *inputD = input + (4*i + 3)*stride; + Complex *outputA = output + i*stride; + Complex *outputB = output + (i + size/4)*stride; + Complex *outputC = output + (i + size/4*2)*stride; + Complex *outputD = output + (i + size/4*3)*stride; + for (size_t s = 0; s < stride; ++s) { + Complex a = inputA[s]; + Complex b = mul(inputB[s], twiddleB); + Complex c = mul(inputC[s], twiddleC); + Complex d = mul(inputD[s], twiddleD); + Complex ac0 = a + c, ac1 = a - c; + Complex bd0 = b + d, bd1 = inverse ? (b - d) : (d - b); + Complex bd1i = {-bd1.imag(), bd1.real()}; + outputA[s] = ac0 + bd0; + outputB[s] = ac1 + bd1i; + outputC[s] = ac0 - bd0; + outputD[s] = ac1 - bd1i; + } + } + } + + // The same thing, but translated for split-complex input/output + template + void fftPass(size_t size, size_t stride, const Sample *inputR, const Sample *inputI, Sample *outputR, Sample *outputI, Sample *workingR, Sample *workingI) const { + if (size/4 > 1) { + // Calculate four quarter-size FFTs + fftPass(size/4, stride*4, inputR, inputI, workingR, workingI, outputR, outputI); + combine4(size, stride, workingR, workingI, outputR, outputI); + } else if (size == 4) { + combine4(4, stride, inputR, inputI, outputR, outputI); + } else { + // 2-point FFT + for (size_t s = 0; s < stride; ++s) { + Sample ar = inputR[s], ai = inputI[s]; + Sample br = inputR[s + stride], bi = inputI[s + stride]; + outputR[s] = ar + br; + outputI[s] = ai + bi; + outputR[s + stride] = ar - br; + outputI[s + stride] = ai - bi; + } + } + } + + // Combine interleaved results into a single spectrum + template + void combine4(size_t size, size_t stride, const Sample *inputR, const Sample *inputI, Sample *outputR, Sample *outputI) const { + auto twiddleStep = working.size()/size; + for (size_t i = 0; i < size/4; ++i) { + Complex twiddleB = twiddles[i*twiddleStep]; + Complex twiddleC = twiddles[i*2*twiddleStep]; + Complex twiddleD = twiddles[i*3*twiddleStep]; + + const Sample *inputAr = inputR + 4*i*stride, *inputAi = inputI + 4*i*stride; + const Sample *inputBr = inputR + (4*i + 1)*stride, *inputBi = inputI + (4*i + 1)*stride; + const Sample *inputCr = inputR + (4*i + 2)*stride, *inputCi = inputI + (4*i + 2)*stride; + const Sample *inputDr = inputR + (4*i + 3)*stride, *inputDi = inputI + (4*i + 3)*stride; + Sample *outputAr = outputR + i*stride, *outputAi = outputI + i*stride; + Sample *outputBr = outputR + (i + size/4)*stride, *outputBi = outputI + (i + size/4)*stride; + Sample *outputCr = outputR + (i + size/4*2)*stride, *outputCi = outputI + (i + size/4*2)*stride; + Sample *outputDr = outputR + (i + size/4*3)*stride, *outputDi = outputI + (i + size/4*3)*stride; + for (size_t s = 0; s < stride; ++s) { + Complex a = {inputAr[s], inputAi[s]}; + Complex b = mul({inputBr[s], inputBi[s]}, twiddleB); + Complex c = mul({inputCr[s], inputCi[s]}, twiddleC); + Complex d = mul({inputDr[s], inputDi[s]}, twiddleD); + Complex ac0 = a + c, ac1 = a - c; + Complex bd0 = b + d, bd1 = inverse ? (b - d) : (d - b); + Complex bd1i = {-bd1.imag(), bd1.real()}; + outputAr[s] = ac0.real() + bd0.real(); + outputAi[s] = ac0.imag() + bd0.imag(); + outputBr[s] = ac1.real() + bd1i.real(); + outputBi[s] = ac1.imag() + bd1i.imag(); + outputCr[s] = ac0.real() - bd0.real(); + outputCi[s] = ac0.imag() - bd0.imag(); + outputDr[s] = ac1.real() - bd1i.real(); + outputDi[s] = ac1.imag() - bd1i.imag(); + } + } + } +}; + +/// A power-of-2 only FFT, specialised with platform-specific fast implementations where available +template +struct Pow2FFT { + static constexpr bool prefersSplit = true; // whether this FFT implementation is faster when given split-complex inputs + using Complex = std::complex; + + Pow2FFT(size_t size=0) { + resize(size); + } + // Allow move, but not copy + Pow2FFT(const Pow2FFT &other) = delete; + Pow2FFT(Pow2FFT &&other) : tmp(std::move(other.tmp)), simpleFFT(std::move(other.simpleFFT)) {} + + void resize(size_t size) { + simpleFFT.resize(size); + tmp.resize(size); + } + + void fft(const Complex *time, Complex *freq) { + simpleFFT.fft(time, freq); + } + void fft(const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + simpleFFT.fft(inR, inI, outR, outI); + } + + void ifft(const Complex *freq, Complex *time) { + simpleFFT.ifft(freq, time); + } + void ifft(const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + simpleFFT.ifft(inR, inI, outR, outI); + } + +private: + std::vector tmp; + SimpleFFT simpleFFT; +}; + +/// An FFT which can handle multiples of 3 and 5, and can be computed in chunks +template +struct SplitFFT { + using Complex = std::complex; + static constexpr bool prefersSplit = Pow2FFT::prefersSplit; + + static constexpr size_t maxSplit = splitComputation ? 4 : 1; + static constexpr size_t minInnerSize = 32; + + static size_t fastSizeAbove(size_t size) { + size_t pow2 = 1; + while (pow2 < 16 && pow2 < size) pow2 *= 2; + while (pow2*8 < size) pow2 *= 2; + size_t multiple = (size + pow2 - 1)/pow2; // will be 1-8 + if (multiple == 7) ++multiple; + return multiple*pow2; + } + + SplitFFT(size_t size=0) { + resize(size); + } + + void resize(size_t size) { + innerSize = 1; + outerSize = size; + + dftTmp.resize(0); + dftTwists.resize(0); + plan.resize(0); + if (!size) return; + + // Inner size = largest power of 2 such that either the inner size >= minInnerSize, or we have the target number of splits + while (!(outerSize&1) && (outerSize > maxSplit || innerSize < minInnerSize)) { + innerSize *= 2; + outerSize /= 2; + } + tmpFreq.resize(size); + innerFFT.resize(innerSize); + + outerTwiddles.resize(innerSize*(outerSize - 1)); + outerTwiddlesR.resize(innerSize*(outerSize - 1)); + outerTwiddlesI.resize(innerSize*(outerSize - 1)); + for (size_t i = 0; i < innerSize; ++i) { + for (size_t s = 1; s < outerSize; ++s) { + Sample twiddlePhase = Sample(-2*M_PI*i/innerSize*s/outerSize); + outerTwiddles[i + (s - 1)*innerSize] = std::polar(Sample(1), twiddlePhase); + } + } + for (size_t i = 0; i < outerTwiddles.size(); ++i) { + outerTwiddlesR[i] = outerTwiddles[i].real(); + outerTwiddlesI[i] = outerTwiddles[i].imag(); + } + + StepType interleaveStep = StepType::interleaveOrderN; + StepType finalStep = StepType::finalOrderN; + if (outerSize == 2) { + interleaveStep = StepType::interleaveOrder2; + finalStep = StepType::finalOrder2; + } + if (outerSize == 3) { + interleaveStep = StepType::interleaveOrder3; + finalStep = StepType::finalOrder3; + } + if (outerSize == 4) { + interleaveStep = StepType::interleaveOrder4; + finalStep = StepType::finalOrder4; + } + if (outerSize == 5) { + interleaveStep = StepType::interleaveOrder5; + finalStep = StepType::finalOrder5; + } + + if (outerSize <= 1) { + if (size > 0) plan.push_back(Step{StepType::passthrough, 0}); + } else { + plan.push_back({interleaveStep, 0}); + plan.push_back({StepType::firstFFT, 0}); + for (size_t s = 1; s < outerSize; ++s) { + plan.push_back({StepType::middleFFT, s*innerSize}); + } + plan.push_back({StepType::twiddles, 0}); + plan.push_back({finalStep, 0}); + + if (finalStep == StepType::finalOrderN) { + dftTmp.resize(outerSize); + dftTwists.resize(outerSize); + for (size_t s = 0; s < outerSize; ++s) { + Sample dftPhase = Sample(-2*M_PI*s/outerSize); + dftTwists[s] = std::polar(Sample(1), dftPhase); + } + } + } + } + + size_t size() const { + return innerSize*outerSize; + } + size_t steps() const { + return plan.size(); + } + + void fft(const Complex *time, Complex *freq) { + for (auto &step : plan) { + fftStep(step, time, freq); + } + } + void fft(size_t step, const Complex *time, Complex *freq) { + fftStep(plan[step], time, freq); + } + void fft(const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + for (auto &step : plan) { + fftStep(step, inR, inI, outR, outI); + } + } + void fft(size_t step, const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + fftStep(plan[step], inR, inI, outR, outI); + } + + void ifft(const Complex *freq, Complex *time) { + for (auto &step : plan) { + fftStep(step, freq, time); + } + } + void ifft(size_t step, const Complex *freq, Complex *time) { + fftStep(plan[step], freq, time); + } + void ifft(const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + for (auto &step : plan) { + fftStep(step, inR, inI, outR, outI); + } + } + void ifft(size_t step, const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + fftStep(plan[step], inR, inI, outR, outI); + } +private: + using InnerFFT = Pow2FFT; + InnerFFT innerFFT; + + size_t innerSize, outerSize; + std::vector tmpFreq; + std::vector outerTwiddles; + std::vector outerTwiddlesR, outerTwiddlesI; + std::vector dftTwists, dftTmp; + + enum class StepType { + passthrough, + interleaveOrder2, interleaveOrder3, interleaveOrder4, interleaveOrder5, interleaveOrderN, + firstFFT, middleFFT, + twiddles, + finalOrder2, finalOrder3, finalOrder4, finalOrder5, finalOrderN + }; + struct Step { + StepType type; + size_t offset; + }; + std::vector plan; + + template + void fftStep(Step step, const Complex *time, Complex *freq) { + switch (step.type) { + case (StepType::passthrough): { + if (inverse) { + innerFFT.ifft(time, freq); + } else { + innerFFT.fft(time, freq); + } + break; + } + case (StepType::interleaveOrder2): { + _impl::interleaveCopy<2>(time, tmpFreq.data(), innerSize); + break; + } + case (StepType::interleaveOrder3): { + _impl::interleaveCopy<3>(time, tmpFreq.data(), innerSize); + break; + } + case (StepType::interleaveOrder4): { + _impl::interleaveCopy<4>(time, tmpFreq.data(), innerSize); + break; + } + case (StepType::interleaveOrder5): { + _impl::interleaveCopy<5>(time, tmpFreq.data(), innerSize); + break; + } + case (StepType::interleaveOrderN): { + _impl::interleaveCopy(time, tmpFreq.data(), outerSize, innerSize); + break; + } + case (StepType::firstFFT): { + if (inverse) { + innerFFT.ifft(tmpFreq.data(), freq); + } else { + innerFFT.fft(tmpFreq.data(), freq); + } + break; + } + case (StepType::middleFFT): { + Complex *offsetOut = freq + step.offset; + if (inverse) { + innerFFT.ifft(tmpFreq.data() + step.offset, offsetOut); + } else { + innerFFT.fft(tmpFreq.data() + step.offset, offsetOut); + } + break; + } + case (StepType::twiddles): { + if (inverse) { + _impl::complexMulConj(freq + innerSize, freq + innerSize, outerTwiddles.data(), innerSize*(outerSize - 1)); + } else { + _impl::complexMul(freq + innerSize, freq + innerSize, outerTwiddles.data(), innerSize*(outerSize - 1)); + } + break; + } + case StepType::finalOrder2: + finalPass2(freq); + break; + case StepType::finalOrder3: + finalPass3(freq); + break; + case StepType::finalOrder4: + finalPass4(freq); + break; + case StepType::finalOrder5: + finalPass5(freq); + break; + case StepType::finalOrderN: + finalPassN(freq); + break; + } + } + template + void fftStep(Step step, const Sample *inR, const Sample *inI, Sample *outR, Sample *outI) { + Sample *tmpR = (Sample *)tmpFreq.data(), *tmpI = tmpR + tmpFreq.size(); + switch (step.type) { + case (StepType::passthrough): { + if (inverse) { + innerFFT.ifft(inR, inI, outR, outI); + } else { + innerFFT.fft(inR, inI, outR, outI); + } + break; + } + case (StepType::interleaveOrder2): { + _impl::interleaveCopy<2>(inR, tmpR, innerSize); + _impl::interleaveCopy<2>(inI, tmpI, innerSize); + break; + } + case (StepType::interleaveOrder3): { + _impl::interleaveCopy<3>(inR, tmpR, innerSize); + _impl::interleaveCopy<3>(inI, tmpI, innerSize); + break; + } + case (StepType::interleaveOrder4): { + _impl::interleaveCopy<4>(inR, tmpR, innerSize); + _impl::interleaveCopy<4>(inI, tmpI, innerSize); + break; + } + case (StepType::interleaveOrder5): { + _impl::interleaveCopy<5>(inR, tmpR, innerSize); + _impl::interleaveCopy<5>(inI, tmpI, innerSize); + break; + } + case (StepType::interleaveOrderN): { + _impl::interleaveCopy(inR, inI, tmpR, tmpI, outerSize, innerSize); + break; + } + case (StepType::firstFFT): { + if (inverse) { + innerFFT.ifft(tmpR, tmpI, outR, outI); + } else { + innerFFT.fft(tmpR, tmpI, outR, outI); + } + break; + } + case (StepType::middleFFT): { + size_t offset = step.offset; + Sample *offsetOutR = outR + offset; + Sample *offsetOutI = outI + offset; + if (inverse) { + innerFFT.ifft(tmpR + offset, tmpI + offset, offsetOutR, offsetOutI); + } else { + innerFFT.fft(tmpR + offset, tmpI + offset, offsetOutR, offsetOutI); + } + break; + } + case(StepType::twiddles): { + auto *twiddlesR = outerTwiddlesR.data(); + auto *twiddlesI = outerTwiddlesI.data(); + if (inverse) { + _impl::complexMulConj(outR + innerSize, outI + innerSize, outR + innerSize, outI + innerSize, twiddlesR, twiddlesI, innerSize*(outerSize - 1)); + } else { + _impl::complexMul(outR + innerSize, outI + innerSize, outR + innerSize, outI + innerSize, twiddlesR, twiddlesI, innerSize*(outerSize - 1)); + } + break; + } + case StepType::finalOrder2: + finalPass2(outR, outI); + break; + case StepType::finalOrder3: + finalPass3(outR, outI); + break; + case StepType::finalOrder4: + finalPass4(outR, outI); + break; + case StepType::finalOrder5: + finalPass5(outR, outI); + break; + case StepType::finalOrderN: + finalPassN(outR, outI); + break; + } + } + + void finalPass2(Complex *f0) { + auto *f1 = f0 + innerSize; + for (size_t i = 0; i < innerSize; ++i) { + Complex a = f0[i], b = f1[i]; + f0[i] = a + b; + f1[i] = a - b; + } + } + void finalPass2(Sample *f0r, Sample *f0i) { + auto *f1r = f0r + innerSize; + auto *f1i = f0i + innerSize; + for (size_t i = 0; i < innerSize; ++i) { + Sample ar = f0r[i], ai = f0i[i]; + Sample br = f1r[i], bi = f1i[i]; + f0r[i] = ar + br; + f0i[i] = ai + bi; + f1r[i] = ar - br; + f1i[i] = ai - bi; + } + } + template + void finalPass3(Complex *f0) { + auto *f1 = f0 + innerSize; + auto *f2 = f0 + innerSize*2; + const Complex tw1{Sample(-0.5), Sample(-std::sqrt(0.75)*(inverse ? -1 : 1))}; + for (size_t i = 0; i < innerSize; ++i) { + Complex a = f0[i], b = f1[i], c = f2[i]; + Complex bc0 = b + c, bc1 = b - c; + f0[i] = a + bc0; + f1[i] = { + a.real() + bc0.real()*tw1.real() - bc1.imag()*tw1.imag(), + a.imag() + bc0.imag()*tw1.real() + bc1.real()*tw1.imag() + }; + f2[i] = { + a.real() + bc0.real()*tw1.real() + bc1.imag()*tw1.imag(), + a.imag() + bc0.imag()*tw1.real() - bc1.real()*tw1.imag() + }; + } + } + template + void finalPass3(Sample *f0r, Sample *f0i) { + auto *f1r = f0r + innerSize; + auto *f1i = f0i + innerSize; + auto *f2r = f0r + innerSize*2; + auto *f2i = f0i + innerSize*2; + const Sample tw1r = -0.5, tw1i = -std::sqrt(0.75)*(inverse ? -1 : 1); + + for (size_t i = 0; i < innerSize; ++i) { + Sample ar = f0r[i], ai = f0i[i], br = f1r[i], bi = f1i[i], cr = f2r[i], ci = f2i[i]; + + f0r[i] = ar + br + cr; + f0i[i] = ai + bi + ci; + f1r[i] = ar + br*tw1r - bi*tw1i + cr*tw1r + ci*tw1i; + f1i[i] = ai + bi*tw1r + br*tw1i - cr*tw1i + ci*tw1r; + f2r[i] = ar + br*tw1r + bi*tw1i + cr*tw1r - ci*tw1i; + f2i[i] = ai + bi*tw1r - br*tw1i + cr*tw1i + ci*tw1r; + } + } + template + void finalPass4(Complex *f0) { + auto *f1 = f0 + innerSize; + auto *f2 = f0 + innerSize*2; + auto *f3 = f0 + innerSize*3; + for (size_t i = 0; i < innerSize; ++i) { + Complex a = f0[i], b = f1[i], c = f2[i], d = f3[i]; + + Complex ac0 = a + c, ac1 = a - c; + Complex bd0 = b + d, bd1 = inverse ? (b - d) : (d - b); + Complex bd1i = {-bd1.imag(), bd1.real()}; + f0[i] = ac0 + bd0; + f1[i] = ac1 + bd1i; + f2[i] = ac0 - bd0; + f3[i] = ac1 - bd1i; + } + } + template + void finalPass4(Sample *f0r, Sample *f0i) { + auto *f1r = f0r + innerSize; + auto *f1i = f0i + innerSize; + auto *f2r = f0r + innerSize*2; + auto *f2i = f0i + innerSize*2; + auto *f3r = f0r + innerSize*3; + auto *f3i = f0i + innerSize*3; + for (size_t i = 0; i < innerSize; ++i) { + Sample ar = f0r[i], ai = f0i[i], br = f1r[i], bi = f1i[i], cr = f2r[i], ci = f2i[i], dr = f3r[i], di = f3i[i]; + + Sample ac0r = ar + cr, ac0i = ai + ci; + Sample ac1r = ar - cr, ac1i = ai - ci; + Sample bd0r = br + dr, bd0i = bi + di; + Sample bd1r = br - dr, bd1i = bi - di; + + f0r[i] = ac0r + bd0r; + f0i[i] = ac0i + bd0i; + f1r[i] = inverse ? (ac1r - bd1i) : (ac1r + bd1i); + f1i[i] = inverse ? (ac1i + bd1r) : (ac1i - bd1r); + f2r[i] = ac0r - bd0r; + f2i[i] = ac0i - bd0i; + f3r[i] = inverse ? (ac1r + bd1i) : (ac1r - bd1i); + f3i[i] = inverse ? (ac1i - bd1r) : (ac1i + bd1r); + } + } + template + void finalPass5(Complex *f0) { + auto *f1 = f0 + innerSize; + auto *f2 = f0 + innerSize*2; + auto *f3 = f0 + innerSize*3; + auto *f4 = f0 + innerSize*4; + const Sample tw1r = 0.30901699437494745; + const Sample tw1i = -0.9510565162951535*(inverse ? -1 : 1); + const Sample tw2r = -0.8090169943749473; + const Sample tw2i = -0.5877852522924732*(inverse ? -1 : 1); + for (size_t i = 0; i < innerSize; ++i) { + Complex a = f0[i], b = f1[i], c = f2[i], d = f3[i], e = f4[i]; + + Complex be0 = b + e, be1 = {e.imag() - b.imag(), b.real() - e.real()}; // (b - e)*i + Complex cd0 = c + d, cd1 = {d.imag() - c.imag(), c.real() - d.real()}; + + Complex bcde01 = be0*tw1r + cd0*tw2r; + Complex bcde02 = be0*tw2r + cd0*tw1r; + Complex bcde11 = be1*tw1i + cd1*tw2i; + Complex bcde12 = be1*tw2i - cd1*tw1i; + + f0[i] = a + be0 + cd0; + f1[i] = a + bcde01 + bcde11; + f2[i] = a + bcde02 + bcde12; + f3[i] = a + bcde02 - bcde12; + f4[i] = a + bcde01 - bcde11; + } + } + template + void finalPass5(Sample *f0r, Sample *f0i) { + auto *f1r = f0r + innerSize; + auto *f1i = f0i + innerSize; + auto *f2r = f0r + innerSize*2; + auto *f2i = f0i + innerSize*2; + auto *f3r = f0r + innerSize*3; + auto *f3i = f0i + innerSize*3; + auto *f4r = f0r + innerSize*4; + auto *f4i = f0i + innerSize*4; + + const Sample tw1r = 0.30901699437494745; + const Sample tw1i = -0.9510565162951535*(inverse ? -1 : 1); + const Sample tw2r = -0.8090169943749473; + const Sample tw2i = -0.5877852522924732*(inverse ? -1 : 1); + for (size_t i = 0; i < innerSize; ++i) { + Sample ar = f0r[i], ai = f0i[i], br = f1r[i], bi = f1i[i], cr = f2r[i], ci = f2i[i], dr = f3r[i], di = f3i[i], er = f4r[i], ei = f4i[i]; + + Sample be0r = br + er, be0i = bi + ei; + Sample be1r = ei - bi, be1i = br - er; + Sample cd0r = cr + dr, cd0i = ci + di; + Sample cd1r = di - ci, cd1i = cr - dr; + + Sample bcde01r = be0r*tw1r + cd0r*tw2r, bcde01i = be0i*tw1r + cd0i*tw2r; + Sample bcde02r = be0r*tw2r + cd0r*tw1r, bcde02i = be0i*tw2r + cd0i*tw1r; + Sample bcde11r = be1r*tw1i + cd1r*tw2i, bcde11i = be1i*tw1i + cd1i*tw2i; + Sample bcde12r = be1r*tw2i - cd1r*tw1i, bcde12i = be1i*tw2i - cd1i*tw1i; + + f0r[i] = ar + be0r + cd0r; + f0i[i] = ai + be0i + cd0i; + f1r[i] = ar + bcde01r + bcde11r; + f1i[i] = ai + bcde01i + bcde11i; + f2r[i] = ar + bcde02r + bcde12r; + f2i[i] = ai + bcde02i + bcde12i; + f3r[i] = ar + bcde02r - bcde12r; + f3i[i] = ai + bcde02i - bcde12i; + f4r[i] = ar + bcde01r - bcde11r; + f4i[i] = ai + bcde01i - bcde11i; + } + } + + template + void finalPassN(Complex *f0) { + for (size_t i = 0; i < innerSize; ++i) { + Complex *offsetFreq = f0 + i; + Complex sum = 0; + for (size_t i2 = 0; i2 < outerSize; ++i2) { + sum += (dftTmp[i2] = offsetFreq[i2*innerSize]); + } + offsetFreq[0] = sum; + + for (size_t f = 1; f < outerSize; ++f) { + Complex sum = dftTmp[0]; + + for (size_t i2 = 1; i2 < outerSize; ++i2) { + size_t twistIndex = (i2*f)%outerSize; + Complex twist = inverse ? std::conj(dftTwists[twistIndex]) : dftTwists[twistIndex]; + sum += Complex{ + dftTmp[i2].real()*twist.real() - dftTmp[i2].imag()*twist.imag(), + dftTmp[i2].imag()*twist.real() + dftTmp[i2].real()*twist.imag() + }; + } + + offsetFreq[f*innerSize] = sum; + } + } + } + template + void finalPassN(Sample *f0r, Sample *f0i) { + Sample *tmpR = (Sample *)dftTmp.data(), *tmpI = tmpR + outerSize; + + for (size_t i = 0; i < innerSize; ++i) { + Sample *offsetR = f0r + i; + Sample *offsetI = f0i + i; + Sample sumR = 0, sumI = 0; + for (size_t i2 = 0; i2 < outerSize; ++i2) { + sumR += (tmpR[i2] = offsetR[i2*innerSize]); + sumI += (tmpI[i2] = offsetI[i2*innerSize]); + } + offsetR[0] = sumR; + offsetI[0] = sumI; + + for (size_t f = 1; f < outerSize; ++f) { + Sample sumR = *tmpR, sumI = *tmpI; + + for (size_t i2 = 1; i2 < outerSize; ++i2) { + size_t twistIndex = (i2*f)%outerSize; + Complex twist = inverse ? std::conj(dftTwists[twistIndex]) : dftTwists[twistIndex]; + sumR += tmpR[i2]*twist.real() - tmpI[i2]*twist.imag(); + sumI += tmpI[i2]*twist.real() + tmpR[i2]*twist.imag(); + } + + offsetR[f*innerSize] = sumR; + offsetI[f*innerSize] = sumI; + } + } + } +}; + +template +using FFT = SplitFFT; + +// Wraps a complex FFT into a real one +template> +struct SimpleRealFFT { + using Complex = std::complex; + + static constexpr bool prefersSplit = ComplexFFT::prefersSplit; + + SimpleRealFFT(size_t size=0) { + resize(size); + } + + void resize(size_t size) { + complexFft.resize(size); + tmpTime.resize(size); + tmpFreq.resize(size); + } + + void fft(const Sample *time, Complex *freq) { + for (size_t i = 0; i < tmpTime.size(); ++i) { + tmpTime[i] = time[i]; + } + complexFft.fft(tmpTime.data(), tmpFreq.data()); + for (size_t i = 0; i < tmpFreq.size()/2; ++i) { + freq[i] = tmpFreq[i]; + } + freq[0] = { + tmpFreq[0].real(), + tmpFreq[tmpFreq.size()/2].real() + }; + } + void fft(const Sample *inR, Sample *outR, Sample *outI) { + Sample *tmpFreqR = (Sample *)tmpFreq.data(), *tmpFreqI = tmpFreqR + tmpFreq.size(); + for (size_t i = 0; i < tmpTime.size()/2; ++i) { + tmpTime[i] = 0; + } + complexFft.fft(inR, (const Sample *)tmpTime.data(), tmpFreqR, tmpFreqI); + for (size_t i = 0; i < tmpTime.size()/2; ++i) { + outR[i] = tmpFreqR[i]; + outI[i] = tmpFreqI[i]; + } + outI[0] = tmpFreqR[tmpFreq.size()/2]; + } + + void ifft(const Complex *freq, Sample *time) { + tmpFreq[0] = freq[0].real(); + tmpFreq[tmpFreq.size()/2] = freq[0].imag(); + for (size_t i = 1; i < tmpFreq.size()/2; ++i) { + tmpFreq[i] = freq[i]; + tmpFreq[tmpFreq.size() - i] = std::conj(freq[i]); + } + complexFft.ifft(tmpFreq.data(), tmpTime.data()); + for (size_t i = 0; i < tmpTime.size(); ++i) { + time[i] = tmpTime[i].real(); + } + } + void ifft(const Sample *inR, const Sample *inI, Sample *outR) { + Sample *tmpFreqR = (Sample *)tmpFreq.data(), *tmpFreqI = tmpFreqR + tmpFreq.size(); + tmpFreqR[0] = inR[0]; + tmpFreqR[tmpFreq.size()/2] = inI[0]; + tmpFreqI[0] = 0; + tmpFreqI[tmpFreq.size()/2] = 0; + for (size_t i = 1; i < tmpFreq.size()/2; ++i) { + tmpFreqR[i] = inR[i]; + tmpFreqI[i] = inI[i]; + tmpFreqR[tmpFreq.size() - i] = inR[i]; + tmpFreqI[tmpFreq.size() - i] = -inI[i]; + } + complexFft.ifft(tmpFreqR, tmpFreqI, outR, (Sample *)tmpTime.data()); + } + +private: + ComplexFFT complexFft; + std::vector tmpTime, tmpFreq; +}; + +/// A default power-of-2 FFT, specialised with platform-specific fast implementations where available +template +struct Pow2RealFFT : public SimpleRealFFT { + static constexpr bool prefersSplit = SimpleRealFFT::prefersSplit; + + using SimpleRealFFT::SimpleRealFFT; + + // Prevent copying, since it might be a problem for specialisations + Pow2RealFFT(const Pow2RealFFT &other) = delete; + // Pass move-constructor through, just to be explicit about it + Pow2RealFFT(Pow2RealFFT &&other) : SimpleRealFFT(std::move(other)) {} +}; + +/// A Real FFT which can handle multiples of 3 and 5, and can be computed in chunks +template +struct RealFFT { + using Complex = std::complex; + static constexpr bool prefersSplit = SplitFFT::prefersSplit; + + static size_t fastSizeAbove(size_t size) { + return ComplexFFT::fastSizeAbove((size + 1)/2)*2; + } + + RealFFT(size_t size=0) { + resize(size); + } + + void resize(size_t size) { + size_t hSize = size/2; + complexFft.resize(hSize); + tmpFreq.resize(hSize); + tmpTime.resize(hSize); + + twiddles.resize(hSize/2 + 1); + + if (!halfBinShift) { + for (size_t i = 0; i < twiddles.size(); ++i) { + Sample rotPhase = i*(-2*M_PI/size) - M_PI/2; // bake rotation by (-i) into twiddles + twiddles[i] = std::polar(Sample(1), rotPhase); + } + } else { + for (size_t i = 0; i < twiddles.size(); ++i) { + Sample rotPhase = (i + 0.5)*(-2*M_PI/size) - M_PI/2; + twiddles[i] = std::polar(Sample(1), rotPhase); + } + + halfBinTwists.resize(hSize); + for (size_t i = 0; i < hSize; ++i) { + Sample twistPhase = -2*M_PI*i/size; + halfBinTwists[i] = std::polar(Sample(1), twistPhase); + } + } + } + + size_t size() const { + return complexFft.size()*2; + } + size_t steps() const { + return complexFft.steps() + (splitComputation ? 3 : 2); + } + + void fft(const Sample *time, Complex *freq) { + for (size_t s = 0; s < steps(); ++s) { + fft(s, time, freq); + } + } + void fft(size_t step, const Sample *time, Complex *freq) { + if (complexPrefersSplit) { + size_t hSize = complexFft.size(); + Sample *tmpTimeR = (Sample *)tmpTime.data(), *tmpTimeI = tmpTimeR + hSize; + Sample *tmpFreqR = (Sample *)tmpFreq.data(), *tmpFreqI = tmpFreqR + hSize; + if (step-- == 0) { + size_t hSize = complexFft.size(); + if (halfBinShift) { + for (size_t i = 0; i < hSize; ++i) { + Sample tr = time[2*i], ti = time[2*i + 1]; + Complex twist = halfBinTwists[i]; + tmpTimeR[i] = tr*twist.real() - ti*twist.imag(); + tmpTimeI[i] = ti*twist.real() + tr*twist.imag(); + } + } else { + for (size_t i = 0; i < hSize; ++i) { + tmpTimeR[i] = time[2*i]; + tmpTimeI[i] = time[2*i + 1]; + } + } + } else if (step < complexFft.steps()) { + complexFft.fft(step, tmpTimeR, tmpTimeI, tmpFreqR, tmpFreqI); + } else { + if (!halfBinShift) { + Sample bin0r = tmpFreqR[0], bin0i = tmpFreqI[0]; + freq[0] = {bin0r + bin0i, bin0r - bin0i}; + } + + size_t startI = halfBinShift ? 0 : 1; + size_t endI = hSize/2 + 1; + if (splitComputation) { // Do this last twiddle in two halves + if (step == complexFft.steps()) { + endI = (startI + endI)/2; + } else { + startI = (startI + endI)/2; + } + } + for (size_t i = startI; i < endI; ++i) { + size_t conjI = halfBinShift ? (hSize - 1 - i) : (hSize - i); + Complex twiddle = twiddles[i]; + + Sample oddR = (tmpFreqR[i] + tmpFreqR[conjI])*Sample(0.5); + Sample oddI = (tmpFreqI[i] - tmpFreqI[conjI])*Sample(0.5); + Sample evenIR = (tmpFreqR[i] - tmpFreqR[conjI])*Sample(0.5); + Sample evenII = (tmpFreqI[i] + tmpFreqI[conjI])*Sample(0.5); + Sample evenRotMinusIR = evenIR*twiddle.real() - evenII*twiddle.imag(); + Sample evenRotMinusII = evenII*twiddle.real() + evenIR*twiddle.imag(); + + freq[i] = {oddR + evenRotMinusIR, oddI + evenRotMinusII}; + freq[conjI] = {oddR - evenRotMinusIR, evenRotMinusII - oddI}; + } + } + } else { + bool canUseTime = !halfBinShift && !(size_t(time)%alignof(Complex)); + if (step-- == 0) { + size_t hSize = complexFft.size(); + if (halfBinShift) { + for (size_t i = 0; i < hSize; ++i) { + Sample tr = time[2*i], ti = time[2*i + 1]; + Complex twist = halfBinTwists[i]; + tmpTime[i] = { + tr*twist.real() - ti*twist.imag(), + ti*twist.real() + tr*twist.imag() + }; + } + } else if (!canUseTime) { + std::memcpy(tmpTime.data(), time, sizeof(Complex)*hSize); + } + } else if (step < complexFft.steps()) { + complexFft.fft(step, canUseTime ? (const Complex *)time : tmpTime.data(), tmpFreq.data()); + } else { + if (!halfBinShift) { + Complex bin0 = tmpFreq[0]; + freq[0] = { // pack DC & Nyquist together + bin0.real() + bin0.imag(), + bin0.real() - bin0.imag() + }; + } + + size_t hSize = complexFft.size(); + size_t startI = halfBinShift ? 0 : 1; + size_t endI = hSize/2 + 1; + if (splitComputation) { // Do this last twiddle in two halves + if (step == complexFft.steps()) { + endI = (startI + endI)/2; + } else { + startI = (startI + endI)/2; + } + } + for (size_t i = startI; i < endI; ++i) { + size_t conjI = halfBinShift ? (hSize - 1 - i) : (hSize - i); + Complex twiddle = twiddles[i]; + + Complex odd = (tmpFreq[i] + std::conj(tmpFreq[conjI]))*Sample(0.5); + Complex evenI = (tmpFreq[i] - std::conj(tmpFreq[conjI]))*Sample(0.5); + Complex evenRotMinusI = { // twiddle includes a factor of -i + evenI.real()*twiddle.real() - evenI.imag()*twiddle.imag(), + evenI.imag()*twiddle.real() + evenI.real()*twiddle.imag() + }; + + freq[i] = odd + evenRotMinusI; + freq[conjI] = {odd.real() - evenRotMinusI.real(), evenRotMinusI.imag() - odd.imag()}; + } + } + } + } + void fft(const Sample *inR, Sample *outR, Sample *outI) { + for (size_t s = 0; s < steps(); ++s) { + fft(s, inR, outR, outI); + } + } + void fft(size_t step, const Sample *inR, Sample *outR, Sample *outI) { + size_t hSize = complexFft.size(); + Sample *tmpTimeR = (Sample *)tmpTime.data(), *tmpTimeI = tmpTimeR + hSize; + Sample *tmpFreqR = (Sample *)tmpFreq.data(), *tmpFreqI = tmpFreqR + hSize; + if (step-- == 0) { + size_t hSize = complexFft.size(); + if (halfBinShift) { + for (size_t i = 0; i < hSize; ++i) { + Sample tr = inR[2*i], ti = inR[2*i + 1]; + Complex twist = halfBinTwists[i]; + tmpTimeR[i] = tr*twist.real() - ti*twist.imag(); + tmpTimeI[i] = ti*twist.real() + tr*twist.imag(); + } + } else { + for (size_t i = 0; i < hSize; ++i) { + tmpTimeR[i] = inR[2*i]; + tmpTimeI[i] = inR[2*i + 1]; + } + } + } else if (step < complexFft.steps()) { + complexFft.fft(step, tmpTimeR, tmpTimeI, tmpFreqR, tmpFreqI); + } else { + if (!halfBinShift) { + Sample bin0r = tmpFreqR[0], bin0i = tmpFreqI[0]; + outR[0] = bin0r + bin0i; + outI[0] = bin0r - bin0i; + } + + size_t startI = halfBinShift ? 0 : 1; + size_t endI = hSize/2 + 1; + if (splitComputation) { // Do this last twiddle in two halves + if (step == complexFft.steps()) { + endI = (startI + endI)/2; + } else { + startI = (startI + endI)/2; + } + } + for (size_t i = startI; i < endI; ++i) { + size_t conjI = halfBinShift ? (hSize - 1 - i) : (hSize - i); + Complex twiddle = twiddles[i]; + + Sample oddR = (tmpFreqR[i] + tmpFreqR[conjI])*Sample(0.5); + Sample oddI = (tmpFreqI[i] - tmpFreqI[conjI])*Sample(0.5); + Sample evenIR = (tmpFreqR[i] - tmpFreqR[conjI])*Sample(0.5); + Sample evenII = (tmpFreqI[i] + tmpFreqI[conjI])*Sample(0.5); + Sample evenRotMinusIR = evenIR*twiddle.real() - evenII*twiddle.imag(); + Sample evenRotMinusII = evenII*twiddle.real() + evenIR*twiddle.imag(); + + outR[i] = oddR + evenRotMinusIR; + outI[i] = oddI + evenRotMinusII; + outR[conjI] = oddR - evenRotMinusIR; + outI[conjI] = evenRotMinusII - oddI; + } + } + } + + void ifft(const Complex *freq, Sample *time) { + for (size_t s = 0; s < steps(); ++s) { + ifft(s, freq, time); + } + } + void ifft(size_t step, const Complex *freq, Sample *time) { + if (complexPrefersSplit) { + size_t hSize = complexFft.size(); + Sample *tmpTimeR = (Sample *)tmpTime.data(), *tmpTimeI = tmpTimeR + hSize; + Sample *tmpFreqR = (Sample *)tmpFreq.data(), *tmpFreqI = tmpFreqR + hSize; + + bool splitFirst = splitComputation && (step-- == 0); + if (splitFirst || step-- == 0) { + Complex bin0 = freq[0]; + if (!halfBinShift) { + tmpFreqR[0] = bin0.real() + bin0.imag(); + tmpFreqI[0] = bin0.real() - bin0.imag(); + } + size_t startI = halfBinShift ? 0 : 1; + size_t endI = hSize/2 + 1; + if (splitComputation) { // Do this first twiddle in two halves + if (splitFirst) { + endI = (startI + endI)/2; + } else { + startI = (startI + endI)/2; + } + } + for (size_t i = startI; i < endI; ++i) { + size_t conjI = halfBinShift ? (hSize - 1 - i) : (hSize - i); + Complex twiddle = twiddles[i]; + + Complex odd = freq[i] + std::conj(freq[conjI]); + Complex evenRotMinusI = freq[i] - std::conj(freq[conjI]); + Complex evenI = { // Conjugate twiddle + evenRotMinusI.real()*twiddle.real() + evenRotMinusI.imag()*twiddle.imag(), + evenRotMinusI.imag()*twiddle.real() - evenRotMinusI.real()*twiddle.imag() + }; + + tmpFreqR[i] = odd.real() + evenI.real(); + tmpFreqI[i] = odd.imag() + evenI.imag(); + tmpFreqR[conjI] = odd.real() - evenI.real(); + tmpFreqI[conjI] = evenI.imag() - odd.imag(); + } + } else if (step < complexFft.steps()) { + complexFft.ifft(step, tmpFreqR, tmpFreqI, tmpTimeR, tmpTimeI); + } else { + size_t hSize = complexFft.size(); + if (halfBinShift) { + for (size_t i = 0; i < hSize; ++i) { + Sample tr = tmpTimeR[i], ti = tmpTimeI[i]; + Complex twist = halfBinTwists[i]; + time[2*i] = tr*twist.real() + ti*twist.imag(); + time[2*i + 1] = ti*twist.real() - tr*twist.imag(); + } + } else { + for (size_t i = 0; i < hSize; ++i) { + time[2*i] = tmpTimeR[i]; + time[2*i + 1] = tmpTimeI[i]; + } + } + } + } else { + bool canUseTime = !halfBinShift && !(size_t(time)%alignof(Complex)); + bool splitFirst = splitComputation && (step-- == 0); + if (splitFirst || step-- == 0) { + Complex bin0 = freq[0]; + if (!halfBinShift) { + tmpFreq[0] = { + bin0.real() + bin0.imag(), + bin0.real() - bin0.imag() + }; + } + size_t hSize = complexFft.size(); + size_t startI = halfBinShift ? 0 : 1; + size_t endI = hSize/2 + 1; + if (splitComputation) { // Do this first twiddle in two halves + if (splitFirst) { + endI = (startI + endI)/2; + } else { + startI = (startI + endI)/2; + } + } + for (size_t i = startI; i < endI; ++i) { + size_t conjI = halfBinShift ? (hSize - 1 - i) : (hSize - i); + Complex twiddle = twiddles[i]; + + Complex odd = freq[i] + std::conj(freq[conjI]); + Complex evenRotMinusI = freq[i] - std::conj(freq[conjI]); + Complex evenI = { // Conjugate twiddle + evenRotMinusI.real()*twiddle.real() + evenRotMinusI.imag()*twiddle.imag(), + evenRotMinusI.imag()*twiddle.real() - evenRotMinusI.real()*twiddle.imag() + }; + + tmpFreq[i] = odd + evenI; + tmpFreq[conjI] = {odd.real() - evenI.real(), evenI.imag() - odd.imag()}; + } + } else if (step < complexFft.steps()) { + // Can't just use time as (Complex *), since it might not be aligned properly + complexFft.ifft(step, tmpFreq.data(), canUseTime ? (Complex *)time : tmpTime.data()); + } else { + size_t hSize = complexFft.size(); + if (halfBinShift) { + for (size_t i = 0; i < hSize; ++i) { + Complex t = tmpTime[i]; + Complex twist = halfBinTwists[i]; + time[2*i] = t.real()*twist.real() + t.imag()*twist.imag(); + time[2*i + 1] = t.imag()*twist.real() - t.real()*twist.imag(); + } + } else if (!canUseTime) { + std::memcpy(time, tmpTime.data(), sizeof(Complex)*hSize); + } + } + } + } + void ifft(const Sample *inR, const Sample *inI, Sample *outR) { + for (size_t s = 0; s < steps(); ++s) { + ifft(s, inR, inI, outR); + } + } + void ifft(size_t step, const Sample *inR, const Sample *inI, Sample *outR) { + size_t hSize = complexFft.size(); + Sample *tmpTimeR = (Sample *)tmpTime.data(), *tmpTimeI = tmpTimeR + hSize; + Sample *tmpFreqR = (Sample *)tmpFreq.data(), *tmpFreqI = tmpFreqR + hSize; + + bool splitFirst = splitComputation && (step-- == 0); + if (splitFirst || step-- == 0) { + Sample bin0r = inR[0], bin0i = inI[0]; + if (!halfBinShift) { + tmpFreqR[0] = bin0r + bin0i; + tmpFreqI[0] = bin0r - bin0i; + } + size_t startI = halfBinShift ? 0 : 1; + size_t endI = hSize/2 + 1; + if (splitComputation) { // Do this first twiddle in two halves + if (splitFirst) { + endI = (startI + endI)/2; + } else { + startI = (startI + endI)/2; + } + } + for (size_t i = startI; i < endI; ++i) { + size_t conjI = halfBinShift ? (hSize - 1 - i) : (hSize - i); + Complex twiddle = twiddles[i]; + Sample fir = inR[i], fii = inI[i]; + Sample fcir = inR[conjI], fcii = inI[conjI]; + + Complex odd = {fir + fcir, fii - fcii}; + Complex evenRotMinusI = {fir - fcir, fii + fcii}; + Complex evenI = { // Conjugate twiddle + evenRotMinusI.real()*twiddle.real() + evenRotMinusI.imag()*twiddle.imag(), + evenRotMinusI.imag()*twiddle.real() - evenRotMinusI.real()*twiddle.imag() + }; + + tmpFreqR[i] = odd.real() + evenI.real(); + tmpFreqI[i] = odd.imag() + evenI.imag(); + tmpFreqR[conjI] = odd.real() - evenI.real(); + tmpFreqI[conjI] = evenI.imag() - odd.imag(); + } + } else if (step < complexFft.steps()) { + // Can't just use time as (Complex *), since it might not be aligned properly + complexFft.ifft(step, tmpFreqR, tmpFreqI, tmpTimeR, tmpTimeI); + } else { + if (halfBinShift) { + for (size_t i = 0; i < hSize; ++i) { + Sample tr = tmpTimeR[i], ti = tmpTimeI[i]; + Complex twist = halfBinTwists[i]; + outR[2*i] = tr*twist.real() + ti*twist.imag(); + outR[2*i + 1] = ti*twist.real() - tr*twist.imag(); + } + } else { + for (size_t i = 0; i < hSize; ++i) { + outR[2*i] = tmpTimeR[i]; + outR[2*i + 1] = tmpTimeI[i]; + } + } + } + } +private: + using ComplexFFT = SplitFFT; + ComplexFFT complexFft; + + static constexpr bool complexPrefersSplit = ComplexFFT::prefersSplit; + std::vector tmpFreq, tmpTime; + std::vector twiddles, halfBinTwists; +}; + +template +using ModifiedRealFFT = RealFFT; + +}} // namespace + +// Override `Pow2FFT` / `Pow2RealFFT` templates with faster implementations +#if defined(SIGNALSMITH_USE_PFFFT) || defined(SIGNALSMITH_USE_PFFFT_DOUBLE) +# if defined(SIGNALSMITH_USE_PFFFT) +# include "./platform/fft-pffft.h" +# endif +# if defined(SIGNALSMITH_USE_PFFFT_DOUBLE) +# include "./platform/fft-pffft-double.h" +# endif +#elif defined(SIGNALSMITH_USE_ACCELERATE) +# include "./platform/fft-accelerate.h" +#elif defined(SIGNALSMITH_USE_IPP) +# include "./platform/fft-ipp.h" +#endif + +#endif // include guard diff --git a/testCOut/signalsmith-linear/stft.h b/testCOut/signalsmith-linear/stft.h new file mode 100644 index 0000000..58e2d8e --- /dev/null +++ b/testCOut/signalsmith-linear/stft.h @@ -0,0 +1,631 @@ +#ifndef SIGNALSMITH_AUDIO_LINEAR_STFT_H +#define SIGNALSMITH_AUDIO_LINEAR_STFT_H + +#include "./fft.h" + +namespace signalsmith { namespace linear { + +enum { + STFT_SPECTRUM_PACKED=0, + STFT_SPECTRUM_MODIFIED=1, + STFT_SPECTRUM_UNPACKED=2, +}; + +/// A self-normalising STFT, with variable position/window for output blocks +template +struct DynamicSTFT { + static constexpr bool modified = (spectrumType == STFT_SPECTRUM_MODIFIED); + static constexpr bool unpacked = (spectrumType == STFT_SPECTRUM_UNPACKED); + RealFFT fft; + + using Complex = std::complex; + + enum class WindowShape {ignore, acg, kaiser}; + static constexpr WindowShape acg = WindowShape::acg; + static constexpr WindowShape kaiser = WindowShape::kaiser; + + void configure(size_t inChannels, size_t outChannels, size_t blockSamples, size_t extraInputHistory=0, size_t intervalSamples=0, Sample asymmetry=0) { + _analysisChannels = inChannels; + _synthesisChannels = outChannels; + _blockSamples = blockSamples; + _fftSamples = fft.fastSizeAbove((blockSamples + 1)/2)*2; + fft.resize(_fftSamples); + _fftBins = _fftSamples/2 + (spectrumType == STFT_SPECTRUM_UNPACKED); + + _inputLengthSamples = _blockSamples + extraInputHistory; + input.buffer.resize(_inputLengthSamples*_analysisChannels); + + output.buffer.resize(_blockSamples*_synthesisChannels); + output.windowProducts.resize(_blockSamples); + spectrumBuffer.resize(_fftBins*std::max(_analysisChannels, _synthesisChannels)); + timeBuffer.resize(_fftSamples); + + _analysisWindow.resize(_blockSamples); + _synthesisWindow.resize(_blockSamples); + setInterval(intervalSamples ? intervalSamples : blockSamples/4, acg, asymmetry); + + reset(); + } + + size_t blockSamples() const { + return _blockSamples; + } + size_t fftSamples() const { + return _fftSamples; + } + size_t defaultInterval() const { + return _defaultInterval; + } + size_t bands() const { + return _fftBins; + } + size_t analysisLatency() const { + return _blockSamples - _analysisOffset; + } + size_t synthesisLatency() const { + return _synthesisOffset; + } + size_t latency() const { + return synthesisLatency() + analysisLatency(); + } + Sample binToFreq(Sample b) const { + return (modified ? b + Sample(0.5) : b)/_fftSamples; + } + Sample freqToBin(Sample f) const { + return modified ? f*_fftSamples - Sample(0.5) : f*_fftSamples; + } + + void reset(Sample productWeight=1) { + input.pos = _blockSamples; + output.pos = 0; + for (auto &v : input.buffer) v = 0; + for (auto &v : output.buffer) v = 0; + for (auto &v : spectrumBuffer) v = 0; + for (auto &v : output.windowProducts) v = 0; + addWindowProduct(); + for (int i = int(_blockSamples) - int(_defaultInterval) - 1; i >= 0; --i) { + output.windowProducts[i] += output.windowProducts[i + _defaultInterval]; + } + for (auto &v : output.windowProducts) v = v*productWeight + almostZero; + moveOutput(_defaultInterval); // ready for first block immediately + } + + void writeInput(size_t channel, size_t offset, size_t length, const Sample *inputArray) { + Sample *buffer = input.buffer.data() + channel*_inputLengthSamples; + + size_t offsetPos = (input.pos + offset)%_inputLengthSamples; + size_t inputWrapIndex = _inputLengthSamples - offsetPos; + size_t chunk1 = std::min(length, inputWrapIndex); + for (size_t i = 0; i < chunk1; ++i) { + size_t i2 = offsetPos + i; + buffer[i2] = inputArray[i]; + } + for (size_t i = chunk1; i < length; ++i) { + size_t i2 = i + offsetPos -_inputLengthSamples; + buffer[i2] = inputArray[i]; + } + } + void writeInput(size_t channel, size_t length, const Sample *inputArray) { + writeInput(channel, 0, length, inputArray); + } + void moveInput(size_t samples, bool clearInput=false) { + if (clearInput) { + size_t inputWrapIndex = _inputLengthSamples - input.pos; + size_t chunk1 = std::min(samples, inputWrapIndex); + for (size_t c = 0; c < _analysisChannels; ++c) { + Sample *buffer = input.buffer.data() + c*_inputLengthSamples; + for (size_t i = 0; i < chunk1; ++i) { + size_t i2 = input.pos + i; + buffer[i2] = 0; + } + for (size_t i = chunk1; i < samples; ++i) { + size_t i2 = i + input.pos - _inputLengthSamples; + buffer[i2] = 0; + } + } + } + + input.pos = (input.pos + samples)%_inputLengthSamples; + _samplesSinceAnalysis += samples; + } + size_t samplesSinceAnalysis() const { + return _samplesSinceAnalysis; + } + + /// When no more synthesis is expected, let output taper away to 0 based on windowing. Otherwise, the output will be scaled as if there's just a very long block interval, which can exaggerate artefacts and numerical errors. You still can't read more than `blockSamples()` into the future. + void finishOutput(Sample strength=1, size_t offset=0) { + Sample maxWindowProduct = 0; + + size_t chunk1 = std::max(offset, std::min(_blockSamples, _blockSamples - output.pos)); + + for (size_t i = offset; i < chunk1; ++i) { + size_t i2 = output.pos + i; + Sample &wp = output.windowProducts[i2]; + maxWindowProduct = std::max(wp, maxWindowProduct); + wp += (maxWindowProduct - wp)*strength; + } + for (size_t i = chunk1; i < _blockSamples; ++i) { + size_t i2 = i + output.pos - _blockSamples; + Sample &wp = output.windowProducts[i2]; + maxWindowProduct = std::max(wp, maxWindowProduct); + wp += (maxWindowProduct - wp)*strength; + } + } + + void readOutput(size_t channel, size_t offset, size_t length, Sample *outputArray) { + Sample *buffer = output.buffer.data() + channel*_blockSamples; + size_t offsetPos = (output.pos + offset)%_blockSamples; + size_t outputWrapIndex = _blockSamples - offsetPos; + size_t chunk1 = std::min(length, outputWrapIndex); + for (size_t i = 0; i < chunk1; ++i) { + size_t i2 = offsetPos + i; + outputArray[i] = buffer[i2]/output.windowProducts[i2]; + } + for (size_t i = chunk1; i < length; ++i) { + size_t i2 = i + offsetPos - _blockSamples; + outputArray[i] = buffer[i2]/output.windowProducts[i2]; + } + } + void readOutput(size_t channel, size_t length, Sample *outputArray) { + return readOutput(channel, 0, length, outputArray); + } + void addOutput(size_t channel, size_t offset, size_t length, const Sample *newOutputArray) { + length = std::min(_blockSamples, length); + Sample *buffer = output.buffer.data() + channel*_blockSamples; + size_t offsetPos = (output.pos + offset)%_blockSamples; + size_t outputWrapIndex = _blockSamples - offsetPos; + size_t chunk1 = std::min(length, outputWrapIndex); + for (size_t i = 0; i < chunk1; ++i) { + size_t i2 = offsetPos + i; + buffer[i2] += newOutputArray[i]*output.windowProducts[i2]; + } + for (size_t i = chunk1; i < length; ++i) { + size_t i2 = i + offsetPos - _blockSamples; + buffer[i2] += newOutputArray[i]*output.windowProducts[i2]; + } + } + void addOutput(size_t channel, size_t length, const Sample *newOutputArray) { + return addOutput(channel, 0, length, newOutputArray); + } + void replaceOutput(size_t channel, size_t offset, size_t length, const Sample *newOutputArray) { + length = std::min(_blockSamples, length); + Sample *buffer = output.buffer.data() + channel*_blockSamples; + size_t offsetPos = (output.pos + offset)%_blockSamples; + size_t outputWrapIndex = _blockSamples - offsetPos; + size_t chunk1 = std::min(length, outputWrapIndex); + for (size_t i = 0; i < chunk1; ++i) { + size_t i2 = offsetPos + i; + buffer[i2] = newOutputArray[i]*output.windowProducts[i2]; + } + for (size_t i = chunk1; i < length; ++i) { + size_t i2 = i + offsetPos - _blockSamples; + buffer[i2] = newOutputArray[i]*output.windowProducts[i2]; + } + } + void replaceOutput(size_t channel, size_t length, const Sample *newOutputArray) { + return replaceOutput(channel, 0, length, newOutputArray); + } + void moveOutput(size_t samples) { + if (samples == 1) { // avoid all the loops/chunks if we can + for (size_t c = 0; c < _synthesisChannels; ++c) { + output.buffer[output.pos + c*_blockSamples] = 0; + } + output.windowProducts[output.pos] = almostZero; + if (++output.pos >= _blockSamples) output.pos = 0; + return; + } + // Zero the output buffer as we cross it + size_t outputWrapIndex = _blockSamples - output.pos; + size_t chunk1 = std::min(samples, outputWrapIndex); + for (size_t c = 0; c < _synthesisChannels; ++c) { + Sample *buffer = output.buffer.data() + c*_blockSamples; + for (size_t i = 0; i < chunk1; ++i) { + size_t i2 = output.pos + i; + buffer[i2] = 0; + } + for (size_t i = chunk1; i < samples; ++i) { + size_t i2 = i + output.pos - _blockSamples; + buffer[i2] = 0; + } + } + for (size_t i = 0; i < chunk1; ++i) { + size_t i2 = output.pos + i; + output.windowProducts[i2] = almostZero; + } + for (size_t i = chunk1; i < samples; ++i) { + size_t i2 = i + output.pos - _blockSamples; + output.windowProducts[i2] = almostZero; + } + output.pos = (output.pos + samples)%_blockSamples; + _samplesSinceSynthesis += samples; + } + size_t samplesSinceSynthesis() const { + return _samplesSinceSynthesis; + } + + Complex * spectrum(size_t channel) { + return spectrumBuffer.data() + channel*_fftBins; + } + const Complex * spectrum(size_t channel) const { + return spectrumBuffer.data() + channel*_fftBins; + } + + Sample * analysisWindow() { + return _analysisWindow.data(); + } + const Sample * analysisWindow() const { + return _analysisWindow.data(); + } + // Sets the centre index of the window + void analysisOffset(size_t offset) { + _analysisOffset = offset; + } + size_t analysisOffset() const { + return _analysisOffset; + } + Sample * synthesisWindow() { + return _synthesisWindow.data(); + } + const Sample * synthesisWindow() const { + return _synthesisWindow.data(); + } + // Sets the centre index of the window + void synthesisOffset(size_t offset) { + _synthesisOffset = offset; + } + size_t synthesisOffset() const { + return _synthesisOffset; + } + + void setInterval(size_t defaultInterval, WindowShape windowShape=WindowShape::ignore, Sample asymmetry=0) { + _defaultInterval = defaultInterval; + if (windowShape == WindowShape::ignore) return; + + if (windowShape == acg) { + auto window = ApproximateConfinedGaussian::withBandwidth(double(_blockSamples)/defaultInterval); + window.fill(_synthesisWindow, _blockSamples, asymmetry, false); + } else if (windowShape == kaiser) { + auto window = Kaiser::withBandwidth(double(_blockSamples)/defaultInterval, true); + window.fill(_synthesisWindow, _blockSamples, asymmetry, true); + } + + _analysisOffset = _synthesisOffset = _blockSamples/2; + if (_analysisChannels == 0) { + for (auto &v : _analysisWindow) v = 1; + } else if (asymmetry == 0) { + forcePerfectReconstruction(_synthesisWindow, _blockSamples, _defaultInterval); + for (size_t i = 0; i < _blockSamples; ++i) { + _analysisWindow[i] = _synthesisWindow[i]; + } + } else { + for (size_t i = 0; i < _blockSamples; ++i) { + _analysisWindow[i] = _synthesisWindow[_blockSamples - 1 - i]; + } + } + // Set offsets to peak's index + for (size_t i = 0; i < _blockSamples; ++i) { + if (_analysisWindow[i] > _analysisWindow[_analysisOffset]) _analysisOffset = i; + if (_synthesisWindow[i] > _synthesisWindow[_synthesisOffset]) _synthesisOffset = i; + } + } + + void analyse(size_t samplesInPast=0) { + for (size_t s = 0; s < analyseSteps(); ++s) { + analyseStep(s, samplesInPast); + } + } + size_t analyseSteps() const { + return splitComputation ? _analysisChannels*(fft.steps() + 1) : _analysisChannels; + } + void analyseStep(size_t step, std::size_t samplesInPast=0) { + size_t fftSteps = splitComputation ? fft.steps() : 0; + size_t channel = step/(fftSteps + 1); + step -= channel*(fftSteps + 1); + + if (step-- == 0) { // extra step at start of each channel: copy windowed input into buffer + size_t offsetPos = (_inputLengthSamples*2 + input.pos - _blockSamples - samplesInPast)%_inputLengthSamples; + size_t inputWrapIndex = _inputLengthSamples - offsetPos; + size_t chunk1 = std::min(_analysisOffset, inputWrapIndex); + size_t chunk2 = std::max(_analysisOffset, std::min(_blockSamples, inputWrapIndex)); + + _samplesSinceAnalysis = samplesInPast; + Sample *buffer = input.buffer.data() + channel*_inputLengthSamples; + for (size_t i = 0; i < chunk1; ++i) { + Sample w = modified ? -_analysisWindow[i] : _analysisWindow[i]; + size_t ti = i + (_fftSamples - _analysisOffset); + size_t bi = offsetPos + i; + timeBuffer[ti] = buffer[bi]*w; + } + for (size_t i = chunk1; i < _analysisOffset; ++i) { + Sample w = modified ? -_analysisWindow[i] : _analysisWindow[i]; + size_t ti = i + (_fftSamples - _analysisOffset); + size_t bi = i + offsetPos - _inputLengthSamples; + timeBuffer[ti] = buffer[bi]*w; + } + for (size_t i = _analysisOffset; i < chunk2; ++i) { + Sample w = _analysisWindow[i]; + size_t ti = i - _analysisOffset; + size_t bi = offsetPos + i; + timeBuffer[ti] = buffer[bi]*w; + } + for (size_t i = chunk2; i < _blockSamples; ++i) { + Sample w = _analysisWindow[i]; + size_t ti = i - _analysisOffset; + size_t bi = i + offsetPos - _inputLengthSamples; + timeBuffer[ti] = buffer[bi]*w; + } + for (size_t i = _blockSamples - _analysisOffset; i < _fftSamples - _analysisOffset; ++i) { + timeBuffer[i] = 0; + } + if (splitComputation) return; + } + auto *spectrumPtr = spectrum(channel); + if (splitComputation) { + fft.fft(step, timeBuffer.data(), spectrumPtr); + if (unpacked && step == fft.steps() - 1) { + spectrumPtr[_fftBins - 1] = spectrumPtr[0].imag(); + spectrumPtr[0].imag(0); + } + } else { + fft.fft(timeBuffer.data(), spectrum(channel)); + if (unpacked) { + spectrumPtr[_fftBins - 1] = spectrumPtr[0].imag(); + spectrumPtr[0].imag(0); + } + } + } + + void synthesise() { + for (size_t s = 0; s < synthesiseSteps(); ++s) { + synthesiseStep(s); + } + } + size_t synthesiseSteps() const { + return splitComputation ? (_synthesisChannels*(fft.steps() + 1) + 1) : _synthesisChannels; + } + void synthesiseStep(size_t step) { + if (step == 0) { // Extra first step which adds in the effective gain for a pure analysis-synthesis cycle + addWindowProduct(); + if (splitComputation) return; + } + if (splitComputation) --step; + + size_t fftSteps = splitComputation ? fft.steps() : 0; + size_t channel = step/(fftSteps + 1); + step -= channel*(fftSteps + 1); + + auto *spectrumPtr = spectrum(channel); + if (unpacked && step == 0) { // re-pack + spectrumPtr[0].imag(spectrumPtr[_fftBins - 1].real()); + } + + if (splitComputation) { + if (step < fftSteps) { + fft.ifft(step, spectrumPtr, timeBuffer.data()); + return; + } + } else { + fft.ifft(spectrumPtr, timeBuffer.data()); + } + + // extra step after each channel's FFT + Sample *buffer = output.buffer.data() + channel*_blockSamples; + size_t outputWrapIndex = _blockSamples - output.pos; + size_t chunk1 = std::min(_synthesisOffset, outputWrapIndex); + size_t chunk2 = std::min(_blockSamples, std::max(_synthesisOffset, outputWrapIndex)); + + for (size_t i = 0; i < chunk1; ++i) { + Sample w = modified ? -_synthesisWindow[i] : _synthesisWindow[i]; + size_t ti = i + (_fftSamples - _synthesisOffset); + size_t bi = output.pos + i; + buffer[bi] += timeBuffer[ti]*w; + } + for (size_t i = chunk1; i < _synthesisOffset; ++i) { + Sample w = modified ? -_synthesisWindow[i] : _synthesisWindow[i]; + size_t ti = i + (_fftSamples - _synthesisOffset); + size_t bi = i + output.pos - _blockSamples; + buffer[bi] += timeBuffer[ti]*w; + } + for (size_t i = _synthesisOffset; i < chunk2; ++i) { + Sample w = _synthesisWindow[i]; + size_t ti = i - _synthesisOffset; + size_t bi = output.pos + i; + buffer[bi] += timeBuffer[ti]*w; + } + for (size_t i = chunk2; i < _blockSamples; ++i) { + Sample w = _synthesisWindow[i]; + size_t ti = i - _synthesisOffset; + size_t bi = i + output.pos - _blockSamples; + buffer[bi] += timeBuffer[ti]*w; + } + } + +#define COMPAT_SPELLING(name, alt) \ + template \ + void alt(Args &&...args) { \ + name(std::forward(args)...); \ + } + COMPAT_SPELLING(analyse, analyze); + COMPAT_SPELLING(analyseStep, analyseStep); + COMPAT_SPELLING(analyseSteps, analyzeSteps); + COMPAT_SPELLING(synthesise, synthesize); + COMPAT_SPELLING(synthesiseStep, synthesizeStep); + COMPAT_SPELLING(synthesiseSteps, synthesizeSteps); + + /// Input (only available so we can save/restore the input state) + struct Input { + void swap(Input &other) { + std::swap(pos, other.pos); + std::swap(buffer, other.buffer); + } + + Input & operator=(const Input &other) { + pos = other.pos; + buffer.assign(other.buffer.begin(), other.buffer.end()); + return *this; + } + private: + friend struct DynamicSTFT; + size_t pos = 0; + std::vector buffer; + }; + Input input; + + /// Output (only available so we can save/restore the output state) + struct Output { + void swap(Output &other) { + std::swap(pos, other.pos); + std::swap(buffer, other.buffer); + std::swap(windowProducts, other.windowProducts); + } + + Output & operator=(const Output &other) { + pos = other.pos; + buffer.assign(other.buffer.begin(), other.buffer.end()); + windowProducts.assign(other.windowProducts.begin(), other.windowProducts.end()); + return *this; + } + private: + friend struct DynamicSTFT; + size_t pos = 0; + std::vector buffer; + std::vector windowProducts; + }; + Output output; + +private: + static constexpr Sample almostZero = 1e-30; + + size_t _analysisChannels, _synthesisChannels, _inputLengthSamples, _blockSamples, _fftSamples, _fftBins; + size_t _defaultInterval = 0; + + std::vector _analysisWindow, _synthesisWindow; + size_t _analysisOffset = 0, _synthesisOffset = 0; + + std::vector spectrumBuffer; + std::vector timeBuffer; + + size_t _samplesSinceSynthesis = 0, _samplesSinceAnalysis = 0; + + void addWindowProduct() { + _samplesSinceSynthesis = 0; + + int windowShift = int(_synthesisOffset) - int(_analysisOffset); + size_t wMin = std::max(0, windowShift); + size_t wMax = std::min(_blockSamples, int(_blockSamples) + windowShift); + + Sample *windowProduct = output.windowProducts.data(); + size_t outputWrapIndex = _blockSamples - output.pos; + size_t chunk1 = std::min(wMax, std::max(wMin, outputWrapIndex)); + for (size_t i = wMin; i < chunk1; ++i) { + Sample wa = _analysisWindow[i - windowShift]; + Sample ws = _synthesisWindow[i]; + size_t bi = output.pos + i; + windowProduct[bi] += wa*ws*_fftSamples; + } + for (size_t i = chunk1; i < wMax; ++i) { + Sample wa = _analysisWindow[i - windowShift]; + Sample ws = _synthesisWindow[i]; + size_t bi = i + output.pos - _blockSamples; + windowProduct[bi] += wa*ws*_fftSamples; + } + } + + // Copied from DSP library `windows.h` + class Kaiser { + inline static double bessel0(double x) { + const double significanceLimit = 1e-4; + double result = 0; + double term = 1; + double m = 0; + while (term > significanceLimit) { + result += term; + ++m; + term *= (x*x)/(4*m*m); + } + + return result; + } + double beta; + double invB0; + + static double heuristicBandwidth(double bandwidth) { + return bandwidth + 8/((bandwidth + 3)*(bandwidth + 3)) + 0.25*std::max(3 - bandwidth, 0.0); + } + public: + Kaiser(double beta) : beta(beta), invB0(1/bessel0(beta)) {} + + static Kaiser withBandwidth(double bandwidth, bool heuristicOptimal=false) { + return Kaiser(bandwidthToBeta(bandwidth, heuristicOptimal)); + } + static double bandwidthToBeta(double bandwidth, bool heuristicOptimal=false) { + if (heuristicOptimal) { // Heuristic based on numerical search + bandwidth = heuristicBandwidth(bandwidth); + } + bandwidth = std::max(bandwidth, 2.0); + double alpha = std::sqrt(bandwidth*bandwidth*0.25 - 1); + return alpha*M_PI; + } + + template + void fill(Data &&data, size_t size, double warp, bool isForSynthesis) const { + double invSize = 1.0/size; + size_t offsetI = (size&1) ? 1 : (isForSynthesis ? 0 : 2); + for (size_t i = 0; i < size; ++i) { + double r = (2*i + offsetI)*invSize - 1; + r = (r + warp)/(1 + r*warp); + double arg = std::sqrt(1 - r*r); + data[i] = bessel0(beta*arg)*invB0; + } + } + }; + + class ApproximateConfinedGaussian { + double gaussianFactor; + + double gaussian(double x) const { + return std::exp(-x*x*gaussianFactor); + } + public: + static double bandwidthToSigma(double bandwidth) { + return 0.3/std::sqrt(bandwidth); + } + static ApproximateConfinedGaussian withBandwidth(double bandwidth) { + return ApproximateConfinedGaussian(bandwidthToSigma(bandwidth)); + } + + ApproximateConfinedGaussian(double sigma) : gaussianFactor(0.0625/(sigma*sigma)) {} + + /// Fills an arbitrary container + template + void fill(Data &&data, size_t size, double warp, bool isForSynthesis) const { + double invSize = 1.0/size; + double offsetScale = gaussian(1)/(gaussian(3) + gaussian(-1)); + double norm = 1/(gaussian(0) - 2*offsetScale*(gaussian(2))); + size_t offsetI = (size&1) ? 1 : (isForSynthesis ? 0 : 2); + for (size_t i = 0; i < size; ++i) { + double r = (2*i + offsetI)*invSize - 1; + r = (r + warp)/(1 + r*warp); + data[i] = norm*(gaussian(r) - offsetScale*(gaussian(r - 2) + gaussian(r + 2))); + } + } + }; + + template + void forcePerfectReconstruction(Data &&data, size_t windowLength, size_t interval) { + for (size_t i = 0; i < interval; ++i) { + double sum2 = 0; + for (size_t index = i; index < windowLength; index += interval) { + sum2 += data[index]*data[index]; + } + double factor = 1/std::sqrt(sum2); + for (size_t index = i; index < windowLength; index += interval) { + data[index] *= factor; + } + } + } +}; + +}} // namespace + +#endif // include guard diff --git a/testCOut/signalsmith-stretch.h b/testCOut/signalsmith-stretch.h new file mode 100644 index 0000000..fe5098e --- /dev/null +++ b/testCOut/signalsmith-stretch.h @@ -0,0 +1,1060 @@ +#ifndef SIGNALSMITH_STRETCH_H +#define SIGNALSMITH_STRETCH_H + +#include "./signalsmith-linear/stft.h" // https://github.com/Signalsmith-Audio/linear + +#include +#include +#include +#include +#include +#include +#include + +namespace signalsmith { namespace stretch { + +namespace _impl { + template + static std::complex mul(const std::complex &a, const std::complex &b) { + return conjugateSecond ? std::complex{ + b.real()*a.real() + b.imag()*a.imag(), + b.real()*a.imag() - b.imag()*a.real() + } : std::complex{ + a.real()*b.real() - a.imag()*b.imag(), + a.real()*b.imag() + a.imag()*b.real() + }; + } + template + static V norm(const std::complex &a) { + V r = a.real(), i = a.imag(); + return r*r + i*i; + } +} + +template +struct SignalsmithStretch { + static constexpr size_t version[3] = {1, 3, 2}; + + SignalsmithStretch() : randomEngine(std::random_device{}()) {} + SignalsmithStretch(long seed) : randomEngine(seed) {} + + // The difference between the internal position (centre of a block) and the input samples you're supplying + int inputLatency() const { + return int(stft.analysisLatency()); + } + int outputLatency() const { + return int(stft.synthesisLatency() + _splitComputation*stft.defaultInterval()); + } + + void reset() { + stft.reset(0.1); + stashedInput = stft.input; + stashedOutput = stft.output; + + prevInputOffset = -1; + channelBands.assign(channelBands.size(), Band()); + silenceCounter = 0; + didSeek = false; + blockProcess = {}; + freqEstimateWeighted = freqEstimateWeight = 0; + } + + // Configures using a default preset + void presetDefault(int nChannels, Sample sampleRate, bool splitComputation=false) { + configure(nChannels, sampleRate*0.12, sampleRate*0.03, splitComputation); + } + void presetCheaper(int nChannels, Sample sampleRate, bool splitComputation=true) { + configure(nChannels, sampleRate*0.1, sampleRate*0.04, splitComputation); + } + + // Manual setup + void configure(int nChannels, int blockSamples, int intervalSamples, bool splitComputation=false) { + _splitComputation = splitComputation; + channels = nChannels; + stft.configure(channels, channels, blockSamples, intervalSamples + 1); + stft.setInterval(intervalSamples, stft.kaiser); + stft.reset(0.1); + stashedInput = stft.input; + stashedOutput = stft.output; + + bands = int(stft.bands()); + channelBands.assign(bands*channels, Band()); + + peaks.reserve(bands/2); + energy.resize(bands); + smoothedEnergy.resize(bands); + outputMap.resize(bands); + channelPredictions.resize(channels*bands); + + blockProcess = {}; + formantMetric.resize(bands + 2); + + tmpProcessBuffer.resize(blockSamples + intervalSamples); + tmpPreRollBuffer.resize(outputLatency()*channels); + } + // For querying the existing config + int blockSamples() const { + return int(stft.blockSamples()); + } + int intervalSamples() const { + return int(stft.defaultInterval()); + } + bool splitComputation() const { + return _splitComputation; + } + + /// Frequency multiplier, and optional tonality limit (as multiple of sample-rate) + void setTransposeFactor(Sample multiplier, Sample tonalityLimit=0) { + freqMultiplier = multiplier; + if (tonalityLimit > 0) { + freqTonalityLimit = tonalityLimit/std::sqrt(multiplier); // compromise between input and output limits + } else { + freqTonalityLimit = 1; + } + customFreqMap = nullptr; + } + void setTransposeSemitones(Sample semitones, Sample tonalityLimit=0) { + setTransposeFactor(std::pow(2, semitones/12), tonalityLimit); + } + // Sets a custom frequency map - should be monotonically increasing + void setFreqMap(std::function inputToOutput) { + customFreqMap = inputToOutput; + } + + void setFormantFactor(Sample multiplier, bool compensatePitch=false) { + formantMultiplier = multiplier; + invFormantMultiplier = 1/multiplier; + formantCompensation = compensatePitch; + } + void setFormantSemitones(Sample semitones, bool compensatePitch=false) { + setFormantFactor(std::pow(2, semitones/12), compensatePitch); + } + // Rough guesstimate of the fundamental frequency, used for formant analysis. 0 means attempting to detect the pitch + void setFormantBase(Sample baseFreq=0) { + formantBaseFreq = baseFreq; + } + + // Provide previous input ("pre-roll") to smoothly change the input location without interrupting the output. This doesn't do any calculation, just copies intput to a buffer. + // You should ideally feed it `seekLength()` frames of input, unless it's directly after a `.reset()` (in which case `.outputSeek()` might be a better choice) + template + void seek(Inputs &&inputs, int inputSamples, double playbackRate) { + tmpProcessBuffer.resize(0); + tmpProcessBuffer.resize(stft.blockSamples() + stft.defaultInterval()); + + int startIndex = std::max(0, inputSamples - int(tmpProcessBuffer.size())); // start position in input + int padStart = int(tmpProcessBuffer.size() + startIndex) - inputSamples; // start position in tmpProcessBuffer + + Sample totalEnergy = 0; + for (int c = 0; c < channels; ++c) { + auto &&inputChannel = inputs[c]; + for (int i = startIndex; i < inputSamples; ++i) { + Sample s = inputChannel[i]; + totalEnergy += s*s; + tmpProcessBuffer[i - startIndex + padStart] = s; + } + + stft.writeInput(c, tmpProcessBuffer.size(), tmpProcessBuffer.data()); + } + stft.moveInput(tmpProcessBuffer.size()); + if (totalEnergy >= noiseFloor) { + silenceCounter = 0; + silenceFirst = true; + } + didSeek = true; + seekTimeFactor = (playbackRate*stft.defaultInterval() > 1) ? 1/playbackRate : stft.defaultInterval(); + } + int seekLength() const { + return int(stft.blockSamples() + stft.defaultInterval()); + } + + // Moves the input position *and* pre-calculates some output, so that the next samples returned from `.process()` are aligned to the beginning of the sample. + // The time-stretch rate is inferred from `inputLength`, so use `.outputSeekLength()` to get a correct value for that. + template + void outputSeek(Inputs &&inputs, int inputLength) { + // TODO: add fade-out parameter to avoid clicks, instead of doing a full reset + reset(); + // Assume we've been handed enough surplus input to produce `outputLatency()` samples of pre-roll + int surplusInput = std::max(inputLength - inputLatency(), 0); + Sample playbackRate = surplusInput/Sample(outputLatency()); + + // Move the input position to the start of the sound + int seekSamples = inputLength - surplusInput; + seek(inputs, seekSamples, playbackRate); + + tmpPreRollBuffer.resize(outputLatency()*channels); + struct BufferOutput { + Sample *samples; + int length; + + Sample * operator[](int c) { + return samples + c*length; + } + } preRollOutput{tmpPreRollBuffer.data(), outputLatency()}; + + // Use the surplus input to produce pre-roll output + OffsetIO offsetInput{inputs, seekSamples}; + process(offsetInput, surplusInput, preRollOutput, preRollOutput.length); + + // put the thing down, flip it and reverse it + for (auto &v : tmpPreRollBuffer) v = -v; + for (int c = 0; c < channels; ++c) { + std::reverse(preRollOutput[c], preRollOutput[c] + preRollOutput.length); + stft.addOutput(c, preRollOutput.length, preRollOutput[c]); + } + } + int outputSeekLength(Sample playbackRate) const { + return inputLatency() + playbackRate*outputLatency(); + } + + template + void process(Inputs &&inputs, int inputSamples, Outputs &&outputs, int outputSamples) { +#ifdef SIGNALSMITH_STRETCH_PROFILE_PROCESS_START + SIGNALSMITH_STRETCH_PROFILE_PROCESS_START(inputSamples, outputSamples); +#endif + int prevCopiedInput = 0; + auto copyInput = [&](int toIndex){ + + int length = std::min(int(stft.blockSamples() + stft.defaultInterval()), toIndex - prevCopiedInput); + tmpProcessBuffer.resize(length); + int offset = toIndex - length; + for (int c = 0; c < channels; ++c) { + auto &&inputBuffer = inputs[c]; + for (int i = 0; i < length; ++i) { + tmpProcessBuffer[i] = inputBuffer[i + offset]; + } + stft.writeInput(c, length, tmpProcessBuffer.data()); + } + stft.moveInput(length); + prevCopiedInput = toIndex; + }; + + Sample totalEnergy = 0; + for (int c = 0; c < channels; ++c) { + auto &&inputChannel = inputs[c]; + for (int i = 0; i < inputSamples; ++i) { + Sample s = inputChannel[i]; + totalEnergy += s*s; + } + } + + if (totalEnergy < noiseFloor) { + if (silenceCounter >= 2*stft.blockSamples()) { + if (silenceFirst) { // first block of silence processing + silenceFirst = false; + //stft.reset(); + blockProcess = {}; + for (auto &b : channelBands) { + b.input = b.prevInput = b.output = 0; + b.inputEnergy = 0; + } + } + + if (inputSamples > 0) { + // copy from the input, wrapping around if needed + for (int outputIndex = 0; outputIndex < outputSamples; ++outputIndex) { + int inputIndex = outputIndex%inputSamples; + for (int c = 0; c < channels; ++c) { + outputs[c][outputIndex] = inputs[c][inputIndex]; + } + } + } else { + for (int c = 0; c < channels; ++c) { + auto &&outputChannel = outputs[c]; + for (int outputIndex = 0; outputIndex < outputSamples; ++outputIndex) { + outputChannel[outputIndex] = 0; + } + } + } + + // Store input in history buffer + copyInput(inputSamples); + return; + } else { + silenceCounter += inputSamples; + } + } else { + silenceCounter = 0; + silenceFirst = true; + } + + for (int outputIndex = 0; outputIndex < outputSamples; ++outputIndex) { + bool newBlock = blockProcess.samplesSinceLast >= stft.defaultInterval(); + if (newBlock) { + blockProcess.step = 0; + blockProcess.steps = 0; // how many processing steps this block will have + blockProcess.samplesSinceLast = 0; + + // Time to process a spectrum! Where should it come from in the input? + int inputOffset = std::round(outputIndex*Sample(inputSamples)/outputSamples); + int inputInterval = inputOffset - prevInputOffset; + prevInputOffset = inputOffset; + + copyInput(inputOffset); + stashedInput = stft.input; // save the input state, since that's what we'll analyse later + if (_splitComputation) { + stashedOutput = stft.output; // save the current output, and read from it + stft.moveOutput(stft.defaultInterval()); // the actual input jumps forward in time by one interval, ready for the synthesis + } + + blockProcess.newSpectrum = didSeek || (inputInterval > 0); + blockProcess.mappedFrequencies = customFreqMap || freqMultiplier != 1; + if (blockProcess.newSpectrum) { + // make sure the previous input is the correct distance in the past (give or take 1 sample) + blockProcess.reanalysePrev = didSeek || std::abs(inputInterval - int(stft.defaultInterval())) > 1; + if (blockProcess.reanalysePrev) blockProcess.steps += stft.analyseSteps() + 1; + + // analyse a new input + blockProcess.steps += stft.analyseSteps() + 1; + } + + blockProcess.processFormants = formantMultiplier != 1 || (formantCompensation && blockProcess.mappedFrequencies); + + blockProcess.timeFactor = didSeek ? seekTimeFactor : stft.defaultInterval()/std::max(1, inputInterval); + didSeek = false; + + updateProcessSpectrumSteps(); + blockProcess.steps += processSpectrumSteps; + + blockProcess.steps += stft.synthesiseSteps() + 1; + } + + size_t processToStep = newBlock ? blockProcess.steps : 0; + if (_splitComputation) { + Sample processRatio = Sample(blockProcess.samplesSinceLast + 1)/stft.defaultInterval(); + processToStep = std::min(blockProcess.steps, (blockProcess.steps + 0.999f)*processRatio); + } + + while (blockProcess.step < processToStep) { + size_t step = blockProcess.step++; +#ifdef SIGNALSMITH_STRETCH_PROFILE_PROCESS_STEP + SIGNALSMITH_STRETCH_PROFILE_PROCESS_STEP(step, blockProcess.steps); +#endif + if (blockProcess.newSpectrum) { + if (blockProcess.reanalysePrev) { + // analyse past input + if (step < stft.analyseSteps()) { + stashedInput.swap(stft.input); + stft.analyseStep(step, stft.defaultInterval()); + stashedInput.swap(stft.input); + continue; + } + step -= stft.analyseSteps(); + if (step < 1) { + // Copy previous analysis to our band objects + for (int c = 0; c < channels; ++c) { + auto channelBands = bandsForChannel(c); + auto *spectrumBands = stft.spectrum(c); + for (int b = 0; b < bands; ++b) { + channelBands[b].prevInput = spectrumBands[b]; + } + } + continue; + } + step -= 1; + } + + // Analyse latest (stashed) input + if (step < stft.analyseSteps()) { + stashedInput.swap(stft.input); + stft.analyseStep(step); + stashedInput.swap(stft.input); + continue; + } + step -= stft.analyseSteps(); + if (step < 1) { + // Copy analysed spectrum into our band objects + for (int c = 0; c < channels; ++c) { + auto channelBands = bandsForChannel(c); + auto *spectrumBands = stft.spectrum(c); + for (int b = 0; b < bands; ++b) { + channelBands[b].input = spectrumBands[b]; + } + } + continue; + } + step -= 1; + } + + if (step < processSpectrumSteps) { + processSpectrum(step); + continue; + } + step -= processSpectrumSteps; + + if (step < 1) { + // Copy band objects into spectrum + for (int c = 0; c < channels; ++c) { + auto channelBands = bandsForChannel(c); + auto *spectrumBands = stft.spectrum(c); + for (int b = 0; b < bands; ++b) { + spectrumBands[b] = channelBands[b].output; + } + } + continue; + } + step -= 1; + + if (step < stft.synthesiseSteps()) { + stft.synthesiseStep(step); + continue; + } + } +#ifdef SIGNALSMITH_STRETCH_PROFILE_PROCESS_ENDSTEP + SIGNALSMITH_STRETCH_PROFILE_PROCESS_ENDSTEP(); +#endif + + ++blockProcess.samplesSinceLast; + if (_splitComputation) stashedOutput.swap(stft.output); + for (int c = 0; c < channels; ++c) { + auto &&outputChannel = outputs[c]; + Sample v = 0; + stft.readOutput(c, 1, &v); + outputChannel[outputIndex] = v; + } + stft.moveOutput(1); + if (_splitComputation) stashedOutput.swap(stft.output); + } + + copyInput(inputSamples); + prevInputOffset -= inputSamples; +#ifdef SIGNALSMITH_STRETCH_PROFILE_PROCESS_END + SIGNALSMITH_STRETCH_PROFILE_PROCESS_END(); +#endif + } + + // Read the remaining output, providing no further input. If `outputSamples` is more than one interval, it will compute additional blocks assuming a zero-valued input + template + void flush(Outputs &&outputs, int outputSamples, Sample playbackRate=0) { + struct Zeros { + struct Channel { + Sample operator[](int) { + return 0; + } + }; + Channel operator[](int) { + return {}; + } + } zeros; + // If we're asked for more than an interval of extra output, then zero-pad the input + int outputBlock = std::max(0, outputSamples - stft.defaultInterval()); + if (outputBlock > 0) process(zeros, outputBlock*playbackRate, outputs, outputBlock); + + int tailSamples = outputSamples - outputBlock; // at most one interval + tmpProcessBuffer.resize(tailSamples); + stft.finishOutput(1); + for (int c = 0; c < channels; ++c) { + stft.readOutput(c, tailSamples, tmpProcessBuffer.data()); + auto &&outputChannel = outputs[c]; + for (int i = 0; i < tailSamples; ++i) { + outputChannel[outputBlock + i] = tmpProcessBuffer[i]; + } + stft.readOutput(c, tailSamples, tailSamples, tmpProcessBuffer.data()); + for (int i = 0; i < tailSamples; ++i) { + outputChannel[outputBlock + tailSamples - 1 - i] -= tmpProcessBuffer[i]; + } + } + stft.reset(0.1f); + // Reset the phase-vocoder stuff, so the next block gets a fresh start + for (int c = 0; c < channels; ++c) { + auto channelBands = bandsForChannel(c); + for (int b = 0; b < bands; ++b) { + channelBands[b].prevInput = channelBands[b].output = 0; + } + } + } + + // Process a complete audio buffer all in one go + template + bool exact(Inputs &&inputs, int inputSamples, Outputs &&outputs, int outputSamples) { + Sample playbackRate = inputSamples/Sample(outputSamples); + auto seekLength = outputSeekLength(playbackRate); + if (inputSamples < seekLength) { + // to short for this - zero the output just to be polite + for (int c = 0; c < channels; ++c) { + auto &&channel = outputs[c]; + for (int i = 0; i < outputSamples; ++i) { + channel[i] = 0; + } + } + return false; + } + + outputSeek(inputs, seekLength); + + int outputIndex = outputSamples - seekLength/playbackRate; + OffsetIO offsetInput{inputs, seekLength}; + process(offsetInput, inputSamples - seekLength, outputs, outputIndex); + + OffsetIO offsetOutput{outputs, outputIndex}; + flush(offsetOutput, outputSamples - outputIndex, playbackRate); + return true; + } + +private: + bool _splitComputation = false; + struct { + size_t samplesSinceLast = std::numeric_limits::max(); + size_t steps = 0; + size_t step = 0; + + bool newSpectrum = false; + bool reanalysePrev = false; + bool mappedFrequencies = false; + bool processFormants = false; + Sample timeFactor; + } blockProcess; + + using Complex = std::complex; + static constexpr Sample noiseFloor{1e-15}; + static constexpr Sample maxCleanStretch{2}; // time-stretch ratio before we start randomising phases + size_t silenceCounter = 0; + bool silenceFirst = true; + + Sample freqMultiplier = 1, freqTonalityLimit = 0.5; + std::function customFreqMap = nullptr; + + bool formantCompensation = false; // compensate for pitch/freq change + Sample formantMultiplier = 1, invFormantMultiplier = 1; + + using STFT = signalsmith::linear::DynamicSTFT; + STFT stft; + typename STFT::Input stashedInput; + typename STFT::Output stashedOutput; + + std::vector tmpProcessBuffer, tmpPreRollBuffer; + + int channels = 0, bands = 0; + int prevInputOffset = -1; + bool didSeek = false; + Sample seekTimeFactor = 1; + + Sample bandToFreq(Sample b) const { + return stft.binToFreq(b); + } + Sample freqToBand(Sample f) const { + return stft.freqToBin(f); + } + + struct Band { + Complex input, prevInput{0}; + Complex output{0}; + Sample inputEnergy; + }; + std::vector channelBands; + Band * bandsForChannel(int channel) { + return channelBands.data() + channel*bands; + } + template + Complex getBand(int channel, int index) { + if (index < 0 || index >= bands) return 0; + return channelBands[index + channel*bands].*member; + } + template + Complex getFractional(int channel, int lowIndex, Sample fractional) { + Complex low = getBand(channel, lowIndex); + Complex high = getBand(channel, lowIndex + 1); + return low + (high - low)*fractional; + } + template + Complex getFractional(int channel, Sample inputIndex) { + int lowIndex = std::floor(inputIndex); + Sample fracIndex = inputIndex - lowIndex; + return getFractional(channel, lowIndex, fracIndex); + } + template + Sample getBand(int channel, int index) { + if (index < 0 || index >= bands) return 0; + return channelBands[index + channel*bands].*member; + } + template + Sample getFractional(int channel, int lowIndex, Sample fractional) { + Sample low = getBand(channel, lowIndex); + Sample high = getBand(channel, lowIndex + 1); + return low + (high - low)*fractional; + } + template + Sample getFractional(int channel, Sample inputIndex) { + int lowIndex = std::floor(inputIndex); + Sample fracIndex = inputIndex - lowIndex; + return getFractional(channel, lowIndex, fracIndex); + } + + struct Peak { + Sample input, output; + }; + std::vector peaks; + std::vector energy, smoothedEnergy; + struct PitchMapPoint { + Sample inputBin, freqGrad; + }; + std::vector outputMap; + + struct Prediction { + Sample energy = 0; + Complex input; + + Complex makeOutput(Complex phase) { + Sample phaseNorm = _impl::norm(phase); + if (phaseNorm <= noiseFloor) { + phase = input; // prediction is too weak, fall back to the input + phaseNorm = _impl::norm(input) + noiseFloor; + } + return phase*std::sqrt(energy/phaseNorm); + } + }; + std::vector channelPredictions; + Prediction * predictionsForChannel(int c) { + return channelPredictions.data() + c*bands; + } + + // If RandomEngine=void, use std::default_random_engine; + using RandomEngineImpl = typename std::conditional< + std::is_void::value, + std::default_random_engine, + RandomEngine + >::type; + RandomEngineImpl randomEngine; + + size_t processSpectrumSteps = 0; + static constexpr size_t splitMainPrediction = 8; // it's just heavy, since we're blending up to 4 different phase predictions + void updateProcessSpectrumSteps() { + processSpectrumSteps = 0; + if (blockProcess.newSpectrum) processSpectrumSteps += channels; + if (blockProcess.mappedFrequencies) { + processSpectrumSteps += smoothEnergySteps; + processSpectrumSteps += 1; // findPeaks + } + processSpectrumSteps += 1; // updating the output map + processSpectrumSteps += channels; // preliminary phase-vocoder prediction + processSpectrumSteps += splitMainPrediction; + if (blockProcess.newSpectrum) processSpectrumSteps += 1; // .input -> .prevInput + if (blockProcess.processFormants) processSpectrumSteps += 3; + } + void processSpectrum(size_t step) { + Sample timeFactor = blockProcess.timeFactor; + + Sample smoothingBins = Sample(stft.fftSamples())/stft.defaultInterval(); + int longVerticalStep = std::round(smoothingBins); + timeFactor = std::max(timeFactor, 1/maxCleanStretch); + bool randomTimeFactor = (timeFactor > maxCleanStretch); + std::uniform_real_distribution timeFactorDist(maxCleanStretch*2*randomTimeFactor - timeFactor, timeFactor); + + if (blockProcess.newSpectrum) { + if (step < size_t(channels)) { + int channel = int(step); + auto bins = bandsForChannel(channel); + + Complex rot = std::polar(Sample(1), bandToFreq(0)*stft.defaultInterval()*Sample(2*M_PI)); + Sample freqStep = bandToFreq(1) - bandToFreq(0); + Complex rotStep = std::polar(Sample(1), freqStep*stft.defaultInterval()*Sample(2*M_PI)); + + for (int b = 0; b < bands; ++b) { + auto &bin = bins[b]; + bin.output = _impl::mul(bin.output, rot); + bin.prevInput = _impl::mul(bin.prevInput, rot); + rot = _impl::mul(rot, rotStep); + } + return; + } + step -= channels; + } + if (blockProcess.mappedFrequencies) { + if (step < smoothEnergySteps) { + smoothEnergy(step, smoothingBins); + return; + } + step -= smoothEnergySteps; + if (step-- == 0) { + findPeaks(); + return; + } + } + if (step-- == 0) { + if (blockProcess.mappedFrequencies) { + updateOutputMap(); + } else { // we're not pitch-shifting, so no need to find peaks etc. + for (int c = 0; c < channels; ++c) { + Band *bins = bandsForChannel(c); + for (int b = 0; b < bands; ++b) { + bins[b].inputEnergy = _impl::norm(bins[b].input); + } + } + + for (int b = 0; b < bands; ++b) { + outputMap[b] = {Sample(b), 1}; + } + } + return; + } + if (blockProcess.processFormants) { + if (step < 3) { + updateFormants(step); + return; + } + step -= 3; + } + // Preliminary output prediction from phase-vocoder + if (step < size_t(channels)) { + int c = int(step); + Band *bins = bandsForChannel(c); + auto *predictions = predictionsForChannel(c); + for (int b = 0; b < bands; ++b) { + auto mapPoint = outputMap[b]; + int lowIndex = std::floor(mapPoint.inputBin); + Sample fracIndex = mapPoint.inputBin - lowIndex; + + Prediction &prediction = predictions[b]; + Sample prevEnergy = prediction.energy; + prediction.energy = getFractional<&Band::inputEnergy>(c, lowIndex, fracIndex); + prediction.energy *= std::max(0, mapPoint.freqGrad); // scale the energy according to local stretch factor + prediction.input = getFractional<&Band::input>(c, lowIndex, fracIndex); + + auto &outputBin = bins[b]; + Complex prevInput = getFractional<&Band::prevInput>(c, lowIndex, fracIndex); + Complex freqTwist = _impl::mul(prediction.input, prevInput); + Complex phase = _impl::mul(outputBin.output, freqTwist); + outputBin.output = phase/(std::max(prevEnergy, prediction.energy) + noiseFloor); + } + return; + } + step -= channels; + + if (step < splitMainPrediction) { + // Re-predict using phase differences between frequencies + size_t chunk = step; + int startB = int(bands*chunk/splitMainPrediction); + int endB = int(bands*(chunk + 1)/splitMainPrediction); + for (int b = startB; b < endB; ++b) { + // Find maximum-energy channel and calculate that + int maxChannel = 0; + Sample maxEnergy = predictionsForChannel(0)[b].energy; + for (int c = 1; c < channels; ++c) { + Sample e = predictionsForChannel(c)[b].energy; + if (e > maxEnergy) { + maxChannel = c; + maxEnergy = e; + } + } + + auto *predictions = predictionsForChannel(maxChannel); + auto &prediction = predictions[b]; + auto *bins = bandsForChannel(maxChannel); + auto &outputBin = bins[b]; + + Complex phase = 0; + auto mapPoint = outputMap[b]; + + // Upwards vertical steps + if (b > 0) { + Sample binTimeFactor = randomTimeFactor ? timeFactorDist(randomEngine) : timeFactor; + Complex downInput = getFractional<&Band::input>(maxChannel, mapPoint.inputBin - binTimeFactor); + Complex shortVerticalTwist = _impl::mul(prediction.input, downInput); + + auto &downBin = bins[b - 1]; + phase += _impl::mul(downBin.output, shortVerticalTwist); + + if (b >= longVerticalStep) { + Complex longDownInput = getFractional<&Band::input>(maxChannel, mapPoint.inputBin - longVerticalStep*binTimeFactor); + Complex longVerticalTwist = _impl::mul(prediction.input, longDownInput); + + auto &longDownBin = bins[b - longVerticalStep]; + phase += _impl::mul(longDownBin.output, longVerticalTwist); + } + } + // Downwards vertical steps + if (b < bands - 1) { + auto &upPrediction = predictions[b + 1]; + auto &upMapPoint = outputMap[b + 1]; + + Sample binTimeFactor = randomTimeFactor ? timeFactorDist(randomEngine) : timeFactor; + Complex downInput = getFractional<&Band::input>(maxChannel, upMapPoint.inputBin - binTimeFactor); + Complex shortVerticalTwist = _impl::mul(upPrediction.input, downInput); + + auto &upBin = bins[b + 1]; + phase += _impl::mul(upBin.output, shortVerticalTwist); + + if (b < bands - longVerticalStep) { + auto &longUpPrediction = predictions[b + longVerticalStep]; + auto &longUpMapPoint = outputMap[b + longVerticalStep]; + + Complex longDownInput = getFractional<&Band::input>(maxChannel, longUpMapPoint.inputBin - longVerticalStep*binTimeFactor); + Complex longVerticalTwist = _impl::mul(longUpPrediction.input, longDownInput); + + auto &longUpBin = bins[b + longVerticalStep]; + phase += _impl::mul(longUpBin.output, longVerticalTwist); + } + } + + outputBin.output = prediction.makeOutput(phase); + + // All other bins are locked in phase + for (int c = 0; c < channels; ++c) { + if (c != maxChannel) { + auto &channelBin = bandsForChannel(c)[b]; + auto &channelPrediction = predictionsForChannel(c)[b]; + + Complex channelTwist = _impl::mul(channelPrediction.input, prediction.input); + Complex channelPhase = _impl::mul(outputBin.output, channelTwist); + channelBin.output = channelPrediction.makeOutput(channelPhase); + } + } + } + return; + } + step -= splitMainPrediction; + + if (blockProcess.newSpectrum) { + if (step-- == 0) { + for (auto &bin : channelBands) { + bin.prevInput = bin.input; + } + } + } + } + + // Produces smoothed energy across all channels + static constexpr size_t smoothEnergySteps = 3; + Sample smoothEnergyState = 0; + void smoothEnergy(size_t step, Sample smoothingBins) { + Sample smoothingSlew = 1/(1 + smoothingBins*Sample(0.5)); + if (step-- == 0) { + for (auto &e : energy) e = 0; + for (int c = 0; c < channels; ++c) { + Band *bins = bandsForChannel(c); + for (int b = 0; b < bands; ++b) { + Sample e = _impl::norm(bins[b].input); + bins[b].inputEnergy = e; // Used for interpolating prediction energy + energy[b] += e; + } + } + for (int b = 0; b < bands; ++b) { + smoothedEnergy[b] = energy[b]; + } + smoothEnergyState = 0; + return; + } + + // The two other steps are repeated smoothing passes, down and up + Sample e = smoothEnergyState; + for (int b = bands - 1; b >= 0; --b) { + e += (smoothedEnergy[b] - e)*smoothingSlew; + smoothedEnergy[b] = e; + } + for (int b = 0; b < bands; ++b) { + e += (smoothedEnergy[b] - e)*smoothingSlew; + smoothedEnergy[b] = e; + } + smoothEnergyState = e; + } + + Sample mapFreq(Sample freq) const { + if (customFreqMap) return customFreqMap(freq); + if (freq > freqTonalityLimit) { + return freq + (freqMultiplier - 1)*freqTonalityLimit; + } + return freq*freqMultiplier; + } + + // Identifies spectral peaks using energy across all channels + void findPeaks() { + peaks.resize(0); + + int start = 0; + while (start < bands) { + if (energy[start] > smoothedEnergy[start]) { + int end = start; + Sample bandSum = 0, energySum = 0; + while (end < bands && energy[end] > smoothedEnergy[end]) { + bandSum += end*energy[end]; + energySum += energy[end]; + ++end; + } + Sample avgBand = bandSum/energySum; + Sample avgFreq = bandToFreq(avgBand); + peaks.emplace_back(Peak{avgBand, freqToBand(mapFreq(avgFreq))}); + + start = end; + } + ++start; + } + } + + void updateOutputMap() { + if (peaks.empty()) { + for (int b = 0; b < bands; ++b) { + outputMap[b] = {Sample(b), 1}; + } + return; + } + Sample bottomOffset = peaks[0].input - peaks[0].output; + for (int b = 0; b < std::min(bands, std::ceil(peaks[0].output)); ++b) { + outputMap[b] = {b + bottomOffset, 1}; + } + // Interpolate between points + for (size_t p = 1; p < peaks.size(); ++p) { + const Peak &prev = peaks[p - 1], &next = peaks[p]; + Sample rangeScale = 1/(next.output - prev.output); + Sample outOffset = prev.input - prev.output; + Sample outScale = next.input - next.output - prev.input + prev.output; + Sample gradScale = outScale*rangeScale; + int startBin = std::max(0, std::ceil(prev.output)); + int endBin = std::min(bands, std::ceil(next.output)); + for (int b = startBin; b < endBin; ++b) { + Sample r = (b - prev.output)*rangeScale; + Sample h = r*r*(3 - 2*r); + Sample outB = b + outOffset + h*outScale; + + Sample gradH = 6*r*(1 - r); + Sample gradB = 1 + gradH*gradScale; + + outputMap[b] = {outB, gradB}; + } + } + Sample topOffset = peaks.back().input - peaks.back().output; + for (int b = std::max(0, peaks.back().output); b < bands; ++b) { + outputMap[b] = {b + topOffset, 1}; + } + } + + // If we mapped formants the same way as mapFreq(), this would be the inverse + Sample invMapFormant(Sample freq) const { + if (freq*invFormantMultiplier > freqTonalityLimit) { + return freq + (1 - formantMultiplier)*freqTonalityLimit; + } + return freq*invFormantMultiplier; + } + + Sample freqEstimateWeighted = 0; + Sample freqEstimateWeight = 0; + Sample estimateFrequency() { + // 3 highest peaks in the input + std::array peakIndices{0, 0, 0}; + for (int b = 1; b < bands - 1; ++b) { + Sample e = formantMetric[b]; + // local maxima only + if (e < formantMetric[b - 1] || e <= formantMetric[b + 1]) continue; + + if (e > formantMetric[peakIndices[0]]) { + if (e > formantMetric[peakIndices[1]]) { + if (e > formantMetric[peakIndices[2]]) { + peakIndices = {peakIndices[1], peakIndices[2], b}; + } else { + peakIndices = {peakIndices[1], b, peakIndices[2]}; + } + } else { + peakIndices[0] = b; + } + } + } + + // VERY rough pitch estimation + int peakEstimate = peakIndices[2]; + if (formantMetric[peakIndices[1]] > formantMetric[peakIndices[2]]*0.1) { + int diff = std::abs(peakEstimate - peakIndices[1]); + if (diff > peakEstimate/8 && diff < peakEstimate*7/8) peakEstimate = peakEstimate%diff; + if (formantMetric[peakIndices[0]] > formantMetric[peakIndices[2]]*0.01) { + int diff = std::abs(peakEstimate - peakIndices[0]); + if (diff > peakEstimate/8 && diff < peakEstimate*7/8) peakEstimate = peakEstimate%diff; + } + } + Sample weight = formantMetric[peakIndices[2]]; + // Smooth it out a bit + freqEstimateWeighted += (peakEstimate*weight - freqEstimateWeighted)*0.25; + freqEstimateWeight += (weight - freqEstimateWeight)*0.25; + + return freqEstimateWeighted/(freqEstimateWeight + Sample(1e-30)); + } + + Sample freqEstimate; + + std::vector formantMetric; + Sample formantBaseFreq = 0; + void updateFormants(size_t step) { + if (step-- == 0) { + for (auto &e : formantMetric) e = 0; + for (int c = 0; c < channels; ++c) { + Band *bins = bandsForChannel(c); + for (int b = 0; b < bands; ++b) { + formantMetric[b] += bins[b].inputEnergy; + } + } + + freqEstimate = freqToBand(formantBaseFreq); + if (formantBaseFreq <= 0) freqEstimate = estimateFrequency(); + } else if (step-- == 0) { + Sample decay = 1 - 1/(freqEstimate*0.5 + 1); + Sample e = 0; + for (size_t repeat = 0; repeat < 2; ++repeat) { + for (int b = bands - 1; b >= 0; --b) { + e = std::max(formantMetric[b], e*decay); + formantMetric[b] = e; + } + for (int b = 0; b < bands; ++b) { + e = std::max(formantMetric[b], e*decay); + formantMetric[b] = e; + } + } + decay = 1/decay; + for (size_t repeat = 0; repeat < 2; ++repeat) { + for (int b = bands - 1; b >= 0; --b) { + e = std::min(formantMetric[b], e*decay); + formantMetric[b] = e; + } + for (int b = 0; b < bands; ++b) { + e = std::min(formantMetric[b], e*decay); + formantMetric[b] = e; + } + } + } else { + auto getFormant = [&](Sample band) -> Sample { + if (band < 0) return 0; + band = std::min(band, bands); + int floorBand = std::floor(band); + Sample fracBand = band - floorBand; + Sample low = formantMetric[floorBand], high = formantMetric[floorBand + 1]; + return low + (high - low)*fracBand; + }; + + for (int b = 0; b < bands; ++b) { + Sample inputF = bandToFreq(b); + Sample outputF = formantCompensation ? mapFreq(inputF) : inputF; + outputF = invMapFormant(outputF); + + Sample inputE = formantMetric[b]; + Sample targetE = getFormant(freqToBand(outputF)); + + Sample formantRatio = targetE/(inputE + Sample(1e-30)); + Sample energyRatio = formantRatio; + + for (int c = 0; c < channels; ++c) { + Band *bins = bandsForChannel(c); + // This is what's used to decide the output energy, so this affects the output + bins[b].inputEnergy *= energyRatio; + } + } + } + } + + // Proxy class to avoid copying/allocating anything + template + struct OffsetIO { + Io &io; + int offset; + + struct Channel { + Io &io; + int channel; + int offset; + + auto operator[](int i) -> decltype(io[0][0]) { + return io[channel][i + offset]; + } + }; + Channel operator[](int c) { + return {io, c, offset}; + } + }; +}; + +}} // namespace +#endif // include guard diff --git a/testCOut/生成 b/testCOut/生成 new file mode 100644 index 0000000..56cd3c8 --- /dev/null +++ b/testCOut/生成 @@ -0,0 +1,11 @@ +docker run --rm -v $(pwd):/src emscripten/emsdk \ +bash -c "em++ main.cpp \ +-sEXPORT_NAME=testWasm -DEXPORT_NAME=testWasm \ +-I / \ +-std=c++11 -O3 -ffast-math -fno-exceptions -fno-rtti \ +--pre-js pre.js --closure 0 \ +-Wall -Wextra -Wfatal-errors -Wpedantic -pedantic-errors \ +-sSINGLE_FILE=1 -sMODULARIZE -sENVIRONMENT=web,worker,shell -sNO_EXIT_RUNTIME=1 \ +-sFILESYSTEM=0 -sEXPORTED_RUNTIME_METHODS=HEAP8,UTF8ToString \ +-sINITIAL_MEMORY=512kb -sALLOW_MEMORY_GROWTH=1 -sMEMORY_GROWTH_GEOMETRIC_STEP=0.5 -sABORTING_MALLOC=1 \ +-sSTRICT=1 -sDYNAMIC_EXECUTION=0" \ No newline at end of file diff --git a/utils(小程序兼容代码).js b/utils(小程序兼容代码).js new file mode 100644 index 0000000..02dfc85 --- /dev/null +++ b/utils(小程序兼容代码).js @@ -0,0 +1,131 @@ +// wasm图片压缩工具类 +const wasmMgr = { + // 存储已加载的wasm模块 + imageCompressModule: null, + + // 获取图片压缩模块 + getCompressImg() { + if (this.imageCompressModule) { + return Promise.resolve(this.imageCompressModule); + } + return new Promise((resolve, reject) => { + const wasmImports = { + __assert_fail: (condition, filename, line, func) => { + console.log(condition, filename, line, func); + }, + emscripten_resize_heap: (size, old_size) => { + console.log(size, old_size); + }, + fd_close: (fd) => { + console.log(fd); + }, + fd_seek: (fd, offset, whence) => { + console.log(fd, offset, whence); + }, + fd_write: (fd, buf, len, pos) => { + console.log(fd, buf, len, pos); + }, + emscripten_memcpy_js: (dest, src, len) => { + this.imageCompressModule.HEAPU8.copyWithin(dest, src, src + len); + }, + }; + + // 微信小程序环境 + if (typeof WXWebAssembly !== "undefined") { + WXWebAssembly.instantiate( + "/convert_image_to_webp.wasm", + { + env: wasmImports, + wasi_snapshot_preview1: wasmImports, + } + ).then((result) => { + this.imageCompressModule = { + _convert_image_to_webp: result.instance.exports.convert_image_to_webp, + _malloc: result.instance.exports.malloc, + _free: result.instance.exports.free, + }; + this.imageCompressModule.HEAPU8 = new Uint8Array( + result.instance.exports.memory.buffer + ); + console.log("convert_image_to_webp加载成功"); + resolve(this.imageCompressModule); + }).catch((err) => { + console.error("Failed to load wasm script", err); + reject(err); + }); + } else { + // H5环境或其他环境 + console.error("当前环境不支持WebAssembly"); + reject(new Error("当前环境不支持WebAssembly")); + } + }); + }, + + // 图片压缩函数 + async compressImg(file, quality = 0.5, w, h, target_w, target_h) { + const compressImgHandler = (inputData, module, isOrgin = false) => { + const inputDataPtr = module._malloc(inputData.length); + module.HEAPU8.set(inputData, inputDataPtr); + const outputSizePtr = module._malloc(4); + const webpPtr = module._convert_image_to_webp( + inputDataPtr, + inputData.length, + w, + h, + target_w, + target_h, + 80 * (quality > 1 ? 1 : quality), + outputSizePtr, + 1, + isOrgin ? 1 : 0 + ); + const outputSize = + module.HEAPU8[outputSizePtr] | + (module.HEAPU8[outputSizePtr + 1] << 8) | + (module.HEAPU8[outputSizePtr + 2] << 16) | + (module.HEAPU8[outputSizePtr + 3] << 24); + const webpData = new Uint8Array(module.HEAPU8.buffer, webpPtr, outputSize); + module._free(webpPtr); + module._free(outputSizePtr); + module._free(inputDataPtr); + //如果只需要二进制原始数据，可以直接返回webpdata 减少base64转换 + // return webpData + return 'data:image/webp;base64,' + this.arrayBufferToBase64(webpData); + }; + + try { + const module = await this.getCompressImg(); + + if (file instanceof Uint8Array) { + return compressImgHandler(file, module, true); + } else { + return new Promise((resolve, reject) => { + wx.getFileSystemManager().readFile({ + filePath: file, + success: res => { + resolve(compressImgHandler(new Uint8Array(res.data), module)); + }, + fail: e => { + console.error("读取文件失败", e); + reject(e); + }, + }); + }); + } + } catch (error) { + console.error("图片压缩失败", error); + throw error; + } + }, + + // 将ArrayBuffer转换为Base64 + arrayBufferToBase64(buffer) { + + return wx.arrayBufferToBase64(buffer); + + } +}; + +module.exports = { + wasmMgr +}; \ No newline at end of file diff --git a/wasm_webp_output.zip b/wasm_webp_output.zip new file mode 100644 index 0000000..4ff4791 Binary files /dev/null and b/wasm_webp_output.zip differ diff --git a/生成 b/生成 index 501d5da..6cb51f7 100644 --- a/生成 +++ b/生成 @@ -1,6 +1,6 @@ # 调试模式 -docker run --rm -v $(pwd):/src emscripten/emsdk emcc convert_image_to_webp.cpp stb_image.c libwebp.a libsharpyuv.a libwebpdecoder.a libwebpdemux.a libwebpmux.a -o ./test/convert_image_to_webp.js -g -s WASM=1 -s INITIAL_MEMORY=34340864 -s EXPORTED_FUNCTIONS="['_free','_malloc','_convert_image_to_webp']" -s EXTRA_EXPORTED_RUNTIME_METHODS='["cwrap", "getValue"]' -gsource-map +docker run --rm -v $(pwd):/src emscripten/emsdk emcc convert_image_to_webp.cpp stb_image.c libwebp.a libsharpyuv.a libwebpdecoder.a libwebpdemux.a libwebpmux.a -o ./test/convert_image_to_webp.js -g -s WASM=1 -s INITIAL_MEMORY=20MB -s ALLOW_MEMORY_GROWTH=1 -s EXPORTED_FUNCTIONS="['_free','_malloc','_convert_image_to_webp']" -s EXTRA_EXPORTED_RUNTIME_METHODS='["cwrap", "getValue"]' -gsource-map # 优化后的命令 -docker run --rm -v $(pwd):/src emscripten/emsdk emcc convert_image_to_webp.cpp stb_image.c libwebp.a libsharpyuv.a -o ./output/convert_image_to_webp.js -s WASM=1 -s NO_FILESYSTEM=1 -s INITIAL_MEMORY=34340864 -s ALLOW_MEMORY_GROWTH=1 -s MAXIMUM_MEMORY=268435456 -s EXPORTED_FUNCTIONS="['_free','_malloc','_convert_image_to_webp']" -s EXTRA_EXPORTED_RUNTIME_METHODS='["cwrap", "getValue"]' -O2 \ No newline at end of file +docker run --rm -v $(pwd):/src emscripten/emsdk emcc convert_image_to_webp.cpp stb_image.c libwebp.a libsharpyuv.a -o ./output/convert_image_to_webp.js -s WASM=1 -s NO_FILESYSTEM=1 -s INITIAL_MEMORY=512MB -s EXPORTED_FUNCTIONS="['_free','_malloc','_convert_image_to_webp']" -s EXTRA_EXPORTED_RUNTIME_METHODS='["cwrap", "getValue"]' -O2 \ No newline at end of file