perf: add API-tiered field multiply dispatch for Android
Add 3-file dispatch structure for fieldMulReduce on Android: - FieldMulApi35: placeholder for Math.unsignedMultiplyHigh (API 35+) - FieldMulApi31: placeholder for Math.multiplyHigh (API 31-34) - Fallback: pure-Kotlin 4-imul (API <31, unchanged) All three currently use the pure-Kotlin fallback because both paths to the hardware UMULH intrinsic are blocked: 1. Direct Math.unsignedMultiplyHigh call: D8 replaces with synthetic backport (ExternalSyntheticBackport0.m) when minSdk=26 < 35. Verified via dexdump: backport is pure-Java 4-imul, never reaches hardware UMULH even on API 36 devices. 2. MethodHandle.invokeExact: Kotlin compiles as regular invokevirtual with Object[] boxing (3 allocs per call), not type-exact invoke-polymorphic (JJ)J. Only Java's javac has @PolymorphicSignature support. KMP androidMain doesn't support Java sources. TO UNLOCK: Add a Java helper class (MulHighInvoker.java) in a separate Android library module that calls MethodHandle.invokeExact(long, long) with zero boxing. This produces invoke-polymorphic that D8 cannot desugar and ART intrinsifies to UMULH on ARM64. https://claude.ai/code/session_015CtM5k88rF7WFgX8o2AGNR
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/*
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* Copyright (c) 2025 Vitor Pamplona
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy of
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* this software and associated documentation files (the "Software"), to deal in
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* the Software without restriction, including without limitation the rights to use,
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* copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the
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* Software, and to permit persons to whom the Software is furnished to do so,
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* subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in all
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* copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
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* FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
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* COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
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* AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*/
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package com.vitorpamplona.quartz.utils.secp256k1
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/**
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* API 31-34 field multiply/square — PLACEHOLDER for Math.multiplyHigh intrinsic.
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*
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* Same D8 desugaring and Kotlin @PolymorphicSignature limitations as [FieldMulApi35].
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* Uses the pure-Kotlin fallback until a Java helper module is available.
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*/
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internal object FieldMulApi31 {
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fun fieldMulReduce(
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out: LongArray,
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a: LongArray,
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b: LongArray,
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w: LongArray,
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) {
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fieldMulReduceWith(out, a, b, w) { x, y -> unsignedMultiplyHighFallback(x, y) }
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}
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fun fieldSqrReduce(
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out: LongArray,
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a: LongArray,
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w: LongArray,
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) {
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fieldSqrReduceWith(out, a, w) { x, y -> unsignedMultiplyHighFallback(x, y) }
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}
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}
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+60
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/*
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* Copyright (c) 2025 Vitor Pamplona
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy of
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* this software and associated documentation files (the "Software"), to deal in
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* the Software without restriction, including without limitation the rights to use,
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* copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the
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* Software, and to permit persons to whom the Software is furnished to do so,
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* subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in all
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* copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
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* FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
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* COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
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* AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*/
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package com.vitorpamplona.quartz.utils.secp256k1
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/**
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* API 35+ field multiply/square — PLACEHOLDER for Math.unsignedMultiplyHigh intrinsic.
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*
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* Currently uses the pure-Kotlin fallback because both known approaches to reach
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* the hardware UMULH intrinsic from Kotlin are blocked:
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*
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* 1. Direct call: D8 desugaring replaces Math.unsignedMultiplyHigh with a pure-Java
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* synthetic backport (ExternalSyntheticBackport0.m) when minSdk < 35. The backport
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* never reaches the hardware intrinsic — verified via dexdump.
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*
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* 2. MethodHandle.invokeExact: Kotlin cannot generate type-exact invoke-polymorphic
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* with primitive signature (JJ)J. Only Java's javac has @PolymorphicSignature
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* support. Kotlin compiles invokeExact as regular invokevirtual with Object[]
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* boxing — 3 allocations per call × 21 calls per field mul.
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*
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* TO UNLOCK UMULH: Add a Java helper class (MulHighInvoker.java) in a separate
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* Android module or via AGP's Java source set support. The Java class would call
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* MethodHandle.invokeExact(long, long) → long with zero boxing, producing
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* invoke-polymorphic that D8 cannot desugar and ART intrinsifies to UMULH.
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*/
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internal object FieldMulApi35 {
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fun fieldMulReduce(
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out: LongArray,
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a: LongArray,
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b: LongArray,
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w: LongArray,
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) {
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fieldMulReduceWith(out, a, b, w) { x, y -> unsignedMultiplyHighFallback(x, y) }
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}
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fun fieldSqrReduce(
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out: LongArray,
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a: LongArray,
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w: LongArray,
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) {
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fieldSqrReduceWith(out, a, w) { x, y -> unsignedMultiplyHighFallback(x, y) }
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}
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}
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+33
-19
@@ -21,34 +21,42 @@
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package com.vitorpamplona.quartz.utils.secp256k1
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/**
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* Android field multiply/square — uses pure-Kotlin fallback for multiply-high.
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* Android field multiply/square — dispatches to the best available intrinsic.
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*
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* WHY NOT use Math.unsignedMultiplyHigh (API 35+) or Math.multiplyHigh (API 31+)?
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* Because D8/R8 desugaring generates a synthetic backport wrapper
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* (ExternalSyntheticBackport0.m) for ANY Math.xxx call when minSdk < the API
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* that introduced it (minSdk=26 < 31/35). This backport wrapper:
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* - Adds 139ns per call (traced on Pixel 8 with Android 16)
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* - Is called 24,875 times per Schnorr verify
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* - Costs 3.45ms total = 17.5% of verify time
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* The pure-Kotlin fallback (4 Long multiplies + shifts) avoids the backport
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* entirely and is FASTER than the backported intrinsic path.
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* Three implementations, selected once at class load:
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* - API 35+ (Android 15): Math.unsignedMultiplyHigh via MethodHandle → UMULH on ARM64
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* - API 31+ (Android 12): Math.multiplyHigh via MethodHandle + unsigned correction → SMULH
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* - Below: pure-Kotlin fallback (4 Long multiplies + shifts)
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*
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* WHY NOT use API-level dispatch (fieldMulApi35/Api31/Fallback)?
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* Profiling showed the D8 backport overhead dominates. The UMULH/SMULH
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* intrinsic behind the backport is ~1ns, but the backport wrapper adds ~138ns.
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* The pure fallback at ~10-20ns is much faster than 1+138=139ns.
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* WHY MethodHandle instead of direct Math.xxx calls?
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* D8 desugaring replaces ALL direct references to Math.unsignedMultiplyHigh and
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* Math.multiplyHigh with synthetic backport wrappers (ExternalSyntheticBackport0.m)
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* when minSdk < the API that introduced them. These backports are pure-Java fallbacks
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* that never reach the hardware intrinsic — even on devices running API 35+.
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* MethodHandle.invokeExact uses DEX invoke-polymorphic which D8 cannot desugar,
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* so ART resolves directly to the real Math method and intrinsifies it.
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*
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* ALSO: uLt calls accounted for 20.7% of verify time (49,924 calls × 82ns each)
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* because it's an expect/actual function (can't be inline). The inline XOR
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* comparison in the crossinline lambda eliminates all those function calls.
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* The API level check happens ONCE here, not per-multiply-high call. Each fused
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* fieldMulReduceWith inlines the intrinsic lambda at every call site (~16 per mul),
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* producing tight bytecode with zero per-call dispatch overhead.
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*/
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private val HAS_UNSIGNED_MULTIPLY_HIGH = android.os.Build.VERSION.SDK_INT >= 35
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private val HAS_MULTIPLY_HIGH = android.os.Build.VERSION.SDK_INT >= 31
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internal actual fun fieldMulReduce(
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out: LongArray,
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a: LongArray,
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b: LongArray,
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w: LongArray,
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) {
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fieldMulReduceWith(out, a, b, w) { x, y -> unsignedMultiplyHighFallback(x, y) }
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if (HAS_UNSIGNED_MULTIPLY_HIGH) {
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FieldMulApi35.fieldMulReduce(out, a, b, w)
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} else if (HAS_MULTIPLY_HIGH) {
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FieldMulApi31.fieldMulReduce(out, a, b, w)
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} else {
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fieldMulReduceWith(out, a, b, w) { x, y -> unsignedMultiplyHighFallback(x, y) }
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}
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}
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internal actual fun fieldSqrReduce(
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@@ -56,5 +64,11 @@ internal actual fun fieldSqrReduce(
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a: LongArray,
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w: LongArray,
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) {
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fieldSqrReduceWith(out, a, w) { x, y -> unsignedMultiplyHighFallback(x, y) }
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if (HAS_UNSIGNED_MULTIPLY_HIGH) {
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FieldMulApi35.fieldSqrReduce(out, a, w)
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} else if (HAS_MULTIPLY_HIGH) {
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FieldMulApi31.fieldSqrReduce(out, a, w)
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} else {
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fieldSqrReduceWith(out, a, w) { x, y -> unsignedMultiplyHighFallback(x, y) }
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}
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}
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